Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 29.11 |
Dual form | 29.3.f.a.8.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{25}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.20133 | + | 0.770280i | −1.10067 | + | 0.385140i | −0.818663 | − | 0.574274i | \(-0.805285\pi\) |
−0.282003 | + | 0.959414i | \(0.590999\pi\) | |||||||
\(3\) | −0.552425 | − | 4.90291i | −0.184142 | − | 1.63430i | −0.657516 | − | 0.753440i | \(-0.728393\pi\) |
0.473375 | − | 0.880861i | \(-0.343036\pi\) | |||||||
\(4\) | 1.12521 | − | 0.897324i | 0.281302 | − | 0.224331i | ||||
\(5\) | 2.64264 | − | 5.48750i | 0.528528 | − | 1.09750i | −0.450312 | − | 0.892871i | \(-0.648687\pi\) |
0.978840 | − | 0.204628i | \(-0.0655985\pi\) | |||||||
\(6\) | 4.99268 | + | 10.3674i | 0.832113 | + | 1.72790i | ||||
\(7\) | −3.22936 | + | 4.04949i | −0.461337 | + | 0.578499i | −0.957026 | − | 0.290001i | \(-0.906344\pi\) |
0.495689 | + | 0.868500i | \(0.334916\pi\) | |||||||
\(8\) | 3.17747 | − | 5.05691i | 0.397184 | − | 0.632114i | ||||
\(9\) | −14.9590 | + | 3.41428i | −1.66211 | + | 0.379365i | ||||
\(10\) | −1.59042 | + | 14.1154i | −0.159042 | + | 1.41154i | ||||
\(11\) | 3.16517 | + | 5.03734i | 0.287743 | + | 0.457940i | 0.959049 | − | 0.283240i | \(-0.0914093\pi\) |
−0.671306 | + | 0.741180i | \(0.734266\pi\) | |||||||
\(12\) | −5.02109 | − | 5.02109i | −0.418424 | − | 0.418424i | ||||
\(13\) | 14.6839 | + | 3.35151i | 1.12953 | + | 0.257808i | 0.746148 | − | 0.665780i | \(-0.231901\pi\) |
0.383385 | + | 0.923589i | \(0.374758\pi\) | |||||||
\(14\) | 3.98966 | − | 11.4018i | 0.284976 | − | 0.814414i | ||||
\(15\) | −28.3645 | − | 9.92518i | −1.89097 | − | 0.661679i | ||||
\(16\) | −4.38044 | + | 19.1919i | −0.273777 | + | 1.19950i | ||||
\(17\) | 22.0898 | − | 22.0898i | 1.29940 | − | 1.29940i | 0.370615 | − | 0.928787i | \(-0.379147\pi\) |
0.928787 | − | 0.370615i | \(-0.120853\pi\) | |||||||
\(18\) | 30.2997 | − | 19.0386i | 1.68332 | − | 1.05770i | ||||
\(19\) | −0.835449 | − | 0.0941325i | −0.0439710 | − | 0.00495434i | 0.0899516 | − | 0.995946i | \(-0.471329\pi\) |
−0.133923 | + | 0.990992i | \(0.542757\pi\) | |||||||
\(20\) | −1.95054 | − | 8.54589i | −0.0975272 | − | 0.427294i | ||||
\(21\) | 21.6383 | + | 13.5962i | 1.03039 | + | 0.647439i | ||||
\(22\) | −10.8478 | − | 8.65079i | −0.493080 | − | 0.393218i | ||||
\(23\) | −21.1449 | + | 10.1828i | −0.919344 | + | 0.442733i | −0.832837 | − | 0.553519i | \(-0.813285\pi\) |
−0.0865068 | + | 0.996251i | \(0.527570\pi\) | |||||||
\(24\) | −26.5489 | − | 12.7853i | −1.10620 | − | 0.532720i | ||||
\(25\) | −7.54184 | − | 9.45717i | −0.301674 | − | 0.378287i | ||||
\(26\) | −34.9058 | + | 3.93294i | −1.34253 | + | 0.151267i | ||||
\(27\) | 10.3374 | + | 29.5427i | 0.382868 | + | 1.09417i | ||||
\(28\) | 7.45431i | 0.266225i | ||||||||
\(29\) | −18.7362 | + | 22.1350i | −0.646074 | + | 0.763274i | ||||
\(30\) | 70.0850 | 2.33617 | ||||||||
\(31\) | 21.3525 | − | 7.47156i | 0.688790 | − | 0.241018i | 0.0368860 | − | 0.999319i | \(-0.488256\pi\) |
0.651904 | + | 0.758301i | \(0.273970\pi\) | |||||||
\(32\) | −2.46561 | − | 21.8829i | −0.0770504 | − | 0.683841i | ||||
\(33\) | 22.9491 | − | 18.3013i | 0.695427 | − | 0.554584i | ||||
\(34\) | −31.6117 | + | 65.6424i | −0.929756 | + | 1.93066i | ||||
\(35\) | 13.6875 | + | 28.4225i | 0.391073 | + | 0.812070i | ||||
\(36\) | −13.7682 | + | 17.2648i | −0.382451 | + | 0.479578i | ||||
\(37\) | 4.25720 | − | 6.77529i | 0.115059 | − | 0.183116i | −0.784230 | − | 0.620470i | \(-0.786942\pi\) |
0.899289 | + | 0.437355i | \(0.144085\pi\) | |||||||
\(38\) | 1.91161 | − | 0.436313i | 0.0503055 | − | 0.0114819i | ||||
\(39\) | 8.32037 | − | 73.8453i | 0.213343 | − | 1.89347i | ||||
\(40\) | −19.3529 | − | 30.8000i | −0.483822 | − | 0.769999i | ||||
\(41\) | −8.24028 | − | 8.24028i | −0.200982 | − | 0.200982i | 0.599438 | − | 0.800421i | \(-0.295391\pi\) |
−0.800421 | + | 0.599438i | \(0.795391\pi\) | |||||||
\(42\) | −58.1059 | − | 13.2623i | −1.38347 | − | 0.315769i | ||||
\(43\) | −3.09691 | + | 8.85047i | −0.0720212 | + | 0.205825i | −0.974267 | − | 0.225398i | \(-0.927632\pi\) |
0.902246 | + | 0.431222i | \(0.141918\pi\) | |||||||
\(44\) | 8.08161 | + | 2.82788i | 0.183673 | + | 0.0642699i | ||||
\(45\) | −20.7952 | + | 91.1099i | −0.462117 | + | 2.02467i | ||||
\(46\) | 38.7033 | − | 38.7033i | 0.841377 | − | 0.841377i | ||||
\(47\) | −22.1022 | + | 13.8877i | −0.470259 | + | 0.295483i | −0.746237 | − | 0.665681i | \(-0.768141\pi\) |
0.275978 | + | 0.961164i | \(0.410998\pi\) | |||||||
\(48\) | 96.5161 | + | 10.8748i | 2.01075 | + | 0.226557i | ||||
\(49\) | 4.93392 | + | 21.6169i | 0.100692 | + | 0.441162i | ||||
\(50\) | 23.8868 | + | 15.0091i | 0.477735 | + | 0.300181i | ||||
\(51\) | −120.507 | − | 96.1013i | −2.36289 | − | 1.88434i | ||||
\(52\) | 19.5299 | − | 9.40509i | 0.375574 | − | 0.180867i | ||||
\(53\) | 47.7265 | + | 22.9839i | 0.900501 | + | 0.433658i | 0.826070 | − | 0.563568i | \(-0.190572\pi\) |
0.0744311 | + | 0.997226i | \(0.476286\pi\) | |||||||
\(54\) | −45.5123 | − | 57.0706i | −0.842821 | − | 1.05686i | ||||
\(55\) | 36.0068 | − | 4.05699i | 0.654669 | − | 0.0737635i | ||||
\(56\) | 10.2167 | + | 29.1977i | 0.182442 | + | 0.521388i | ||||
\(57\) | 4.14813i | 0.0727742i | ||||||||
\(58\) | 24.1944 | − | 63.1585i | 0.417145 | − | 1.08894i | ||||
\(59\) | 17.4148 | 0.295166 | 0.147583 | − | 0.989050i | \(-0.452851\pi\) | ||||
0.147583 | + | 0.989050i | \(0.452851\pi\) | |||||||
\(60\) | −40.8221 | + | 14.2843i | −0.680369 | + | 0.238071i | ||||
\(61\) | 6.87260 | + | 60.9960i | 0.112666 | + | 0.999935i | 0.915109 | + | 0.403207i | \(0.132104\pi\) |
−0.802443 | + | 0.596728i | \(0.796467\pi\) | |||||||
\(62\) | −41.2488 | + | 32.8948i | −0.665303 | + | 0.530561i | ||||
\(63\) | 34.4818 | − | 71.6021i | 0.547330 | − | 1.13654i | ||||
\(64\) | −11.8813 | − | 24.6717i | −0.185645 | − | 0.385496i | ||||
\(65\) | 57.1957 | − | 71.7211i | 0.879934 | − | 1.10340i | ||||
\(66\) | −36.4214 | + | 57.9644i | −0.551840 | + | 0.878249i | ||||
\(67\) | −26.2055 | + | 5.98124i | −0.391127 | + | 0.0892722i | −0.413562 | − | 0.910476i | \(-0.635715\pi\) |
0.0224346 | + | 0.999748i | \(0.492858\pi\) | |||||||
\(68\) | 5.03393 | − | 44.6774i | 0.0740285 | − | 0.657021i | ||||
\(69\) | 61.6065 | + | 98.0462i | 0.892848 | + | 1.42096i | ||||
\(70\) | −52.0241 | − | 52.0241i | −0.743201 | − | 0.743201i | ||||
\(71\) | −4.93086 | − | 1.12544i | −0.0694487 | − | 0.0158512i | 0.187655 | − | 0.982235i | \(-0.439911\pi\) |
−0.257104 | + | 0.966384i | \(0.582768\pi\) | |||||||
\(72\) | −30.2659 | + | 86.4949i | −0.420359 | + | 1.20132i | ||||
\(73\) | −53.0793 | − | 18.5732i | −0.727113 | − | 0.254428i | −0.0587602 | − | 0.998272i | \(-0.518715\pi\) |
−0.668353 | + | 0.743844i | \(0.733000\pi\) | |||||||
\(74\) | −4.15264 | + | 18.1939i | −0.0561167 | + | 0.245863i | ||||
\(75\) | −42.2013 | + | 42.2013i | −0.562684 | + | 0.562684i | ||||
\(76\) | −1.02452 | + | 0.643750i | −0.0134806 | + | 0.00847040i | ||||
\(77\) | −30.6201 | − | 3.45006i | −0.397664 | − | 0.0448060i | ||||
\(78\) | 38.5656 | + | 168.967i | 0.494431 | + | 2.16625i | ||||
\(79\) | 74.2026 | + | 46.6246i | 0.939274 | + | 0.590185i | 0.912332 | − | 0.409452i | \(-0.134280\pi\) |
0.0269421 | + | 0.999637i | \(0.491423\pi\) | |||||||
\(80\) | 93.7398 | + | 74.7550i | 1.17175 | + | 0.934438i | ||||
\(81\) | 14.7171 | − | 7.08739i | 0.181693 | − | 0.0874986i | ||||
\(82\) | 24.4869 | + | 11.7923i | 0.298621 | + | 0.143808i | ||||
\(83\) | −48.3929 | − | 60.6827i | −0.583047 | − | 0.731117i | 0.399583 | − | 0.916697i | \(-0.369155\pi\) |
−0.982629 | + | 0.185580i | \(0.940584\pi\) | |||||||
\(84\) | 36.5478 | − | 4.11795i | 0.435093 | − | 0.0490232i | ||||
\(85\) | −62.8424 | − | 179.593i | −0.739322 | − | 2.11286i | ||||
\(86\) | − | 21.8683i | − | 0.254283i | ||||||
\(87\) | 118.876 | + | 79.6337i | 1.36639 | + | 0.915330i | ||||
\(88\) | 35.5306 | 0.403757 | ||||||||
\(89\) | −138.036 | + | 48.3009i | −1.55097 | + | 0.542707i | −0.963769 | − | 0.266737i | \(-0.914054\pi\) |
−0.587197 | + | 0.809444i | \(0.699769\pi\) | |||||||
\(90\) | −24.4029 | − | 216.581i | −0.271143 | − | 2.40646i | ||||
\(91\) | −60.9916 | + | 48.6392i | −0.670237 | + | 0.534497i | ||||
\(92\) | −14.6551 | + | 30.4317i | −0.159295 | + | 0.330779i | ||||
\(93\) | −48.4280 | − | 100.562i | −0.520731 | − | 1.08131i | ||||
\(94\) | 37.9568 | − | 47.5963i | 0.403796 | − | 0.506344i | ||||
\(95\) | −2.72434 | + | 4.33577i | −0.0286773 | + | 0.0456397i | ||||
\(96\) | −105.928 | + | 24.1773i | −1.10341 | + | 0.251847i | ||||
\(97\) | 0.115126 | − | 1.02177i | 0.00118686 | − | 0.0105337i | −0.993105 | − | 0.117230i | \(-0.962599\pi\) |
0.994292 | + | 0.106696i | \(0.0340272\pi\) | |||||||
\(98\) | −27.5123 | − | 43.7855i | −0.280737 | − | 0.446791i | ||||
\(99\) | −64.5465 | − | 64.5465i | −0.651985 | − | 0.651985i | ||||
\(100\) | −16.9723 | − | 3.87382i | −0.169723 | − | 0.0387382i | ||||
\(101\) | 43.9053 | − | 125.474i | 0.434706 | − | 1.24232i | −0.493334 | − | 0.869840i | \(-0.664222\pi\) |
0.928040 | − | 0.372479i | \(-0.121492\pi\) | |||||||
\(102\) | 339.301 | + | 118.727i | 3.32649 | + | 1.16399i | ||||
\(103\) | 1.55354 | − | 6.80648i | 0.0150829 | − | 0.0660824i | −0.966826 | − | 0.255434i | \(-0.917782\pi\) |
0.981909 | + | 0.189352i | \(0.0606387\pi\) | |||||||
\(104\) | 63.6060 | − | 63.6060i | 0.611596 | − | 0.611596i | ||||
\(105\) | 131.791 | − | 82.8100i | 1.25516 | − | 0.788666i | ||||
\(106\) | −122.766 | − | 13.8324i | −1.15817 | − | 0.130494i | ||||
\(107\) | 14.9676 | + | 65.5774i | 0.139884 | + | 0.612873i | 0.995459 | + | 0.0951935i | \(0.0303470\pi\) |
−0.855574 | + | 0.517680i | \(0.826796\pi\) | |||||||
\(108\) | 38.1412 | + | 23.9657i | 0.353159 | + | 0.221905i | ||||
\(109\) | 139.358 | + | 111.134i | 1.27851 | + | 1.01958i | 0.998219 | + | 0.0596621i | \(0.0190023\pi\) |
0.280291 | + | 0.959915i | \(0.409569\pi\) | |||||||
\(110\) | −76.1379 | + | 36.6661i | −0.692163 | + | 0.333328i | ||||
\(111\) | −35.5704 | − | 17.1298i | −0.320454 | − | 0.154322i | ||||
\(112\) | −63.5716 | − | 79.7163i | −0.567604 | − | 0.711752i | ||||
\(113\) | 14.1294 | − | 1.59200i | 0.125039 | − | 0.0140885i | −0.0492231 | − | 0.998788i | \(-0.515675\pi\) |
0.174262 | + | 0.984699i | \(0.444246\pi\) | |||||||
\(114\) | −3.19522 | − | 9.13141i | −0.0280282 | − | 0.0801001i | ||||
\(115\) | 142.942i | 1.24298i | ||||||||
\(116\) | −1.21986 | + | 41.7189i | −0.0105161 | + | 0.359645i | ||||
\(117\) | −231.099 | −1.97521 | ||||||||
\(118\) | −38.3357 | + | 13.4143i | −0.324879 | + | 0.113680i | ||||
\(119\) | 18.1165 | + | 160.789i | 0.152240 | + | 1.35116i | ||||
\(120\) | −140.318 | + | 111.900i | −1.16932 | + | 0.932501i | ||||
\(121\) | 37.1435 | − | 77.1292i | 0.306971 | − | 0.637431i | ||||
\(122\) | −62.1129 | − | 128.979i | −0.509122 | − | 1.05720i | ||||
\(123\) | −35.8492 | + | 44.9534i | −0.291457 | + | 0.365475i | ||||
\(124\) | 17.3216 | − | 27.5672i | 0.139690 | − | 0.222316i | ||||
\(125\) | 76.6224 | − | 17.4886i | 0.612979 | − | 0.139908i | ||||
\(126\) | −20.7522 | + | 184.181i | −0.164700 | + | 1.46175i | ||||
\(127\) | −56.8872 | − | 90.5354i | −0.447931 | − | 0.712877i | 0.544080 | − | 0.839033i | \(-0.316879\pi\) |
−0.992010 | + | 0.126156i | \(0.959736\pi\) | |||||||
\(128\) | 107.445 | + | 107.445i | 0.839411 | + | 0.839411i | ||||
\(129\) | 45.1038 | + | 10.2947i | 0.349642 | + | 0.0798035i | ||||
\(130\) | −70.6614 | + | 201.939i | −0.543550 | + | 1.55338i | ||||
\(131\) | −15.0564 | − | 5.26846i | −0.114934 | − | 0.0402172i | 0.272199 | − | 0.962241i | \(-0.412249\pi\) |
−0.387133 | + | 0.922024i | \(0.626535\pi\) | |||||||
\(132\) | 9.40033 | − | 41.1855i | 0.0712146 | − | 0.312012i | ||||
\(133\) | 3.07916 | − | 3.07916i | 0.0231516 | − | 0.0231516i | ||||
\(134\) | 53.0798 | − | 33.3523i | 0.396118 | − | 0.248897i | ||||
\(135\) | 189.434 | + | 21.3441i | 1.40321 | + | 0.158104i | ||||
\(136\) | −41.5166 | − | 181.896i | −0.305269 | − | 1.33747i | ||||
\(137\) | −120.235 | − | 75.5488i | −0.877630 | − | 0.551451i | 0.0161943 | − | 0.999869i | \(-0.494845\pi\) |
−0.893824 | + | 0.448417i | \(0.851988\pi\) | |||||||
\(138\) | −211.139 | − | 168.378i | −1.53000 | − | 1.22013i | ||||
\(139\) | 199.013 | − | 95.8394i | 1.43174 | − | 0.689492i | 0.452423 | − | 0.891803i | \(-0.350560\pi\) |
0.979321 | + | 0.202311i | \(0.0648453\pi\) | |||||||
\(140\) | 40.9055 | + | 19.6991i | 0.292182 | + | 0.140708i | ||||
\(141\) | 80.2999 | + | 100.693i | 0.569503 | + | 0.714134i | ||||
\(142\) | 11.7214 | − | 1.32068i | 0.0825448 | − | 0.00930057i | ||||
\(143\) | 29.5944 | + | 84.5760i | 0.206954 | + | 0.591440i | ||||
\(144\) | − | 302.047i | − | 2.09755i | ||||||
\(145\) | 71.9526 | + | 161.309i | 0.496225 | + | 1.11248i | ||||
\(146\) | 131.152 | 0.898299 | ||||||||
\(147\) | 103.260 | − | 36.1323i | 0.702449 | − | 0.245798i | ||||
\(148\) | −1.28940 | − | 11.4437i | −0.00871213 | − | 0.0773223i | ||||
\(149\) | −122.156 | + | 97.4158i | −0.819836 | + | 0.653797i | −0.940839 | − | 0.338855i | \(-0.889960\pi\) |
0.121003 | + | 0.992652i | \(0.461389\pi\) | |||||||
\(150\) | 60.3923 | − | 125.406i | 0.402615 | − | 0.836040i | ||||
\(151\) | 81.9702 | + | 170.213i | 0.542849 | + | 1.12724i | 0.974332 | + | 0.225117i | \(0.0722764\pi\) |
−0.431483 | + | 0.902121i | \(0.642009\pi\) | |||||||
\(152\) | −3.13064 | + | 3.92569i | −0.0205963 | + | 0.0258269i | ||||
\(153\) | −255.020 | + | 405.862i | −1.66680 | + | 2.65269i | ||||
\(154\) | 70.0626 | − | 15.9913i | 0.454952 | − | 0.103840i | ||||
\(155\) | 15.4268 | − | 136.916i | 0.0995276 | − | 0.883332i | ||||
\(156\) | −56.9011 | − | 90.5575i | −0.364750 | − | 0.580497i | ||||
\(157\) | −108.735 | − | 108.735i | −0.692577 | − | 0.692577i | 0.270221 | − | 0.962798i | \(-0.412903\pi\) |
−0.962798 | + | 0.270221i | \(0.912903\pi\) | |||||||
\(158\) | −199.259 | − | 45.4795i | −1.26113 | − | 0.287845i | ||||
\(159\) | 86.3225 | − | 246.696i | 0.542909 | − | 1.55154i | ||||
\(160\) | −126.598 | − | 44.2986i | −0.791239 | − | 0.276866i | ||||
\(161\) | 27.0492 | − | 118.510i | 0.168007 | − | 0.736088i | ||||
\(162\) | −26.9380 | + | 26.9380i | −0.166284 | + | 0.166284i | ||||
\(163\) | −194.774 | + | 122.385i | −1.19493 | + | 0.750826i | −0.974459 | − | 0.224567i | \(-0.927903\pi\) |
−0.220474 | + | 0.975393i | \(0.570760\pi\) | |||||||
\(164\) | −16.6662 | − | 1.87783i | −0.101623 | − | 0.0114502i | ||||
\(165\) | −39.7821 | − | 174.297i | −0.241104 | − | 1.05634i | ||||
\(166\) | 153.271 | + | 96.3068i | 0.923322 | + | 0.580162i | ||||
\(167\) | −96.4643 | − | 76.9277i | −0.577631 | − | 0.460645i | 0.290573 | − | 0.956853i | \(-0.406154\pi\) |
−0.868204 | + | 0.496208i | \(0.834725\pi\) | |||||||
\(168\) | 137.510 | − | 66.2212i | 0.818511 | − | 0.394174i | ||||
\(169\) | 52.1212 | + | 25.1002i | 0.308409 | + | 0.148522i | ||||
\(170\) | 276.674 | + | 346.938i | 1.62749 | + | 2.04081i | ||||
\(171\) | 12.8188 | − | 1.44434i | 0.0749640 | − | 0.00844641i | ||||
\(172\) | 4.45707 | + | 12.7376i | 0.0259132 | + | 0.0740556i | ||||
\(173\) | − | 32.3262i | − | 0.186857i | −0.995626 | − | 0.0934283i | \(-0.970217\pi\) | ||
0.995626 | − | 0.0934283i | \(-0.0297826\pi\) | |||||||
\(174\) | −323.026 | − | 83.7326i | −1.85647 | − | 0.481222i | ||||
\(175\) | 62.6521 | 0.358012 | ||||||||
\(176\) | −110.541 | + | 38.6800i | −0.628075 | + | 0.219773i | ||||
\(177\) | −9.62036 | − | 85.3830i | −0.0543523 | − | 0.482390i | ||||
\(178\) | 266.658 | − | 212.653i | 1.49808 | − | 1.19468i | ||||
\(179\) | −116.664 | + | 242.255i | −0.651754 | + | 1.35338i | 0.268963 | + | 0.963151i | \(0.413319\pi\) |
−0.920717 | + | 0.390231i | \(0.872395\pi\) | |||||||
\(180\) | 58.3562 | + | 121.178i | 0.324201 | + | 0.673210i | ||||
\(181\) | −66.4061 | + | 83.2706i | −0.366884 | + | 0.460058i | −0.930668 | − | 0.365864i | \(-0.880774\pi\) |
0.563784 | + | 0.825922i | \(0.309345\pi\) | |||||||
\(182\) | 96.7970 | − | 154.052i | 0.531852 | − | 0.846437i | ||||
\(183\) | 295.261 | − | 67.3914i | 1.61345 | − | 0.368259i | ||||
\(184\) | −15.6935 | + | 139.284i | −0.0852908 | + | 0.756976i | ||||
\(185\) | −25.9291 | − | 41.2660i | −0.140158 | − | 0.223059i | ||||
\(186\) | 184.067 | + | 184.067i | 0.989607 | + | 0.989607i | ||||
\(187\) | 181.192 | + | 41.3559i | 0.968941 | + | 0.221154i | ||||
\(188\) | −12.4078 | + | 35.4594i | −0.0659988 | + | 0.188614i | ||||
\(189\) | −153.016 | − | 53.5427i | −0.809610 | − | 0.283295i | ||||
\(190\) | 2.65743 | − | 11.6430i | 0.0139865 | − | 0.0612788i | ||||
\(191\) | 72.7058 | − | 72.7058i | 0.380659 | − | 0.380659i | −0.490681 | − | 0.871339i | \(-0.663252\pi\) |
0.871339 | + | 0.490681i | \(0.163252\pi\) | |||||||
\(192\) | −114.400 | + | 71.8820i | −0.595831 | + | 0.374386i | ||||
\(193\) | −190.040 | − | 21.4124i | −0.984665 | − | 0.110945i | −0.395076 | − | 0.918649i | \(-0.629282\pi\) |
−0.589589 | + | 0.807703i | \(0.700710\pi\) | |||||||
\(194\) | 0.533617 | + | 2.33793i | 0.00275061 | + | 0.0120512i | ||||
\(195\) | −383.238 | − | 240.805i | −1.96532 | − | 1.23490i | ||||
\(196\) | 24.9491 | + | 19.8962i | 0.127291 | + | 0.101511i | ||||
\(197\) | 46.6020 | − | 22.4423i | 0.236558 | − | 0.113920i | −0.311849 | − | 0.950132i | \(-0.600948\pi\) |
0.548408 | + | 0.836211i | \(0.315234\pi\) | |||||||
\(198\) | 191.807 | + | 92.3695i | 0.968724 | + | 0.466513i | ||||
\(199\) | 0.321680 | + | 0.403373i | 0.00161648 | + | 0.00202700i | 0.782639 | − | 0.622476i | \(-0.213873\pi\) |
−0.781023 | + | 0.624503i | \(0.785302\pi\) | |||||||
\(200\) | −71.7881 | + | 8.08857i | −0.358940 | + | 0.0404429i | ||||
\(201\) | 43.8020 | + | 125.179i | 0.217920 | + | 0.622781i | ||||
\(202\) | 310.030i | 1.53480i | ||||||||
\(203\) | −29.1295 | − | 147.354i | −0.143495 | − | 0.725880i | ||||
\(204\) | −221.830 | −1.08740 | ||||||||
\(205\) | −66.9946 | + | 23.4424i | −0.326803 | + | 0.114353i | ||||
\(206\) | 1.82305 | + | 16.1800i | 0.00884974 | + | 0.0785437i | ||||
\(207\) | 281.538 | − | 224.519i | 1.36009 | − | 1.08463i | ||||
\(208\) | −128.644 | + | 267.132i | −0.618480 | + | 1.28429i | ||||
\(209\) | −2.17016 | − | 4.50639i | −0.0103835 | − | 0.0215617i | ||||
\(210\) | −226.330 | + | 283.808i | −1.07776 | + | 1.35147i | ||||
\(211\) | 81.6700 | − | 129.977i | 0.387062 | − | 0.616005i | −0.595187 | − | 0.803587i | \(-0.702922\pi\) |
0.982249 | + | 0.187582i | \(0.0600650\pi\) | |||||||
\(212\) | 74.3264 | − | 16.9645i | 0.350596 | − | 0.0800213i | ||||
\(213\) | −2.79398 | + | 24.7973i | −0.0131173 | + | 0.116419i | ||||
\(214\) | −83.4617 | − | 132.829i | −0.390008 | − | 0.620694i | ||||
\(215\) | 40.3829 | + | 40.3829i | 0.187827 | + | 0.187827i | ||||
\(216\) | 182.242 | + | 41.5955i | 0.843713 | + | 0.192572i | ||||
\(217\) | −38.6989 | + | 110.595i | −0.178336 | + | 0.509655i | ||||
\(218\) | −392.376 | − | 137.298i | −1.79989 | − | 0.629810i | ||||
\(219\) | −61.7405 | + | 270.503i | −0.281920 | + | 1.23517i | ||||
\(220\) | 36.8747 | − | 36.8747i | 0.167612 | − | 0.167612i | ||||
\(221\) | 398.399 | − | 250.331i | 1.80271 | − | 1.13272i | ||||
\(222\) | 91.4970 | + | 10.3092i | 0.412149 | + | 0.0464380i | ||||
\(223\) | −17.7211 | − | 77.6414i | −0.0794670 | − | 0.348168i | 0.919526 | − | 0.393029i | \(-0.128573\pi\) |
−0.998993 | + | 0.0448610i | \(0.985716\pi\) | |||||||
\(224\) | 96.5770 | + | 60.6834i | 0.431148 | + | 0.270908i | ||||
\(225\) | 145.108 | + | 115.719i | 0.644922 | + | 0.514308i | ||||
\(226\) | −29.8773 | + | 14.3881i | −0.132200 | + | 0.0636643i | ||||
\(227\) | −379.261 | − | 182.642i | −1.67075 | − | 0.804592i | −0.997897 | − | 0.0648180i | \(-0.979353\pi\) |
−0.672855 | − | 0.739774i | \(-0.734932\pi\) | |||||||
\(228\) | 3.72222 | + | 4.66751i | 0.0163255 | + | 0.0204716i | ||||
\(229\) | −196.110 | + | 22.0963i | −0.856378 | + | 0.0964906i | −0.529226 | − | 0.848481i | \(-0.677518\pi\) |
−0.327152 | + | 0.944972i | \(0.606089\pi\) | |||||||
\(230\) | −110.105 | − | 314.663i | −0.478719 | − | 1.36810i | ||||
\(231\) | 152.034i | 0.658154i | ||||||||
\(232\) | 52.4010 | + | 165.080i | 0.225866 | + | 0.711553i | ||||
\(233\) | 122.019 | 0.523687 | 0.261843 | − | 0.965110i | \(-0.415670\pi\) | ||||
0.261843 | + | 0.965110i | \(0.415670\pi\) | |||||||
\(234\) | 508.726 | − | 178.011i | 2.17404 | − | 0.760730i | ||||
\(235\) | 17.8007 | + | 157.986i | 0.0757477 | + | 0.672280i | ||||
\(236\) | 19.5953 | − | 15.6267i | 0.0830308 | − | 0.0662149i | ||||
\(237\) | 187.605 | − | 389.565i | 0.791581 | − | 1.64373i | ||||
\(238\) | −163.733 | − | 339.994i | −0.687952 | − | 1.42855i | ||||
\(239\) | 191.297 | − | 239.879i | 0.800405 | − | 1.00368i | −0.199313 | − | 0.979936i | \(-0.563871\pi\) |
0.999718 | − | 0.0237404i | \(-0.00755751\pi\) | |||||||
\(240\) | 314.733 | − | 500.894i | 1.31139 | − | 2.08706i | ||||
\(241\) | −133.954 | + | 30.5741i | −0.555826 | + | 0.126864i | −0.491201 | − | 0.871046i | \(-0.663442\pi\) |
−0.0646245 | + | 0.997910i | \(0.520585\pi\) | |||||||
\(242\) | −22.3541 | + | 198.398i | −0.0923722 | + | 0.819826i | ||||
\(243\) | 106.990 | + | 170.274i | 0.440289 | + | 0.700717i | ||||
\(244\) | 62.4663 | + | 62.4663i | 0.256010 | + | 0.256010i | ||||
\(245\) | 131.661 | + | 30.0508i | 0.537393 | + | 0.122656i | ||||
\(246\) | 44.2892 | − | 126.571i | 0.180038 | − | 0.514518i | ||||
\(247\) | −11.9522 | − | 4.18225i | −0.0483894 | − | 0.0169322i | ||||
\(248\) | 30.0639 | − | 131.718i | 0.121225 | − | 0.531123i | ||||
\(249\) | −270.788 | + | 270.788i | −1.08750 | + | 1.08750i | ||||
\(250\) | −155.200 | + | 97.5188i | −0.620801 | + | 0.390075i | ||||
\(251\) | −330.590 | − | 37.2486i | −1.31709 | − | 0.148401i | −0.574699 | − | 0.818365i | \(-0.694881\pi\) |
−0.742393 | + | 0.669964i | \(0.766309\pi\) | |||||||
\(252\) | −25.4511 | − | 111.509i | −0.100997 | − | 0.442495i | ||||
\(253\) | −118.222 | − | 74.2836i | −0.467279 | − | 0.293611i | ||||
\(254\) | 194.965 | + | 155.480i | 0.767580 | + | 0.612124i | ||||
\(255\) | −845.813 | + | 407.322i | −3.31691 | + | 1.59734i | ||||
\(256\) | −220.597 | − | 106.234i | −0.861707 | − | 0.414976i | ||||
\(257\) | 44.4882 | + | 55.7865i | 0.173106 | + | 0.217068i | 0.860814 | − | 0.508919i | \(-0.169955\pi\) |
−0.687709 | + | 0.725987i | \(0.741383\pi\) | |||||||
\(258\) | −107.218 | + | 12.0806i | −0.415575 | + | 0.0468240i | ||||
\(259\) | 13.6885 | + | 39.1193i | 0.0528512 | + | 0.151040i | ||||
\(260\) | − | 132.024i | − | 0.507786i | ||||||
\(261\) | 204.698 | − | 395.086i | 0.784285 | − | 1.51374i | ||||
\(262\) | 37.2023 | 0.141993 | ||||||||
\(263\) | 220.348 | − | 77.1032i | 0.837826 | − | 0.293168i | 0.122944 | − | 0.992414i | \(-0.460766\pi\) |
0.714882 | + | 0.699246i | \(0.246481\pi\) | |||||||
\(264\) | −19.6280 | − | 174.203i | −0.0743485 | − | 0.659861i | ||||
\(265\) | 252.248 | − | 201.161i | 0.951880 | − | 0.759099i | ||||
\(266\) | −4.40644 | + | 9.15006i | −0.0165656 | + | 0.0343987i | ||||
\(267\) | 313.069 | + | 650.095i | 1.17254 | + | 2.43481i | ||||
\(268\) | −24.1196 | + | 30.2450i | −0.0899984 | + | 0.112854i | ||||
\(269\) | −176.731 | + | 281.266i | −0.656993 | + | 1.04560i | 0.337553 | + | 0.941306i | \(0.390401\pi\) |
−0.994547 | + | 0.104293i | \(0.966742\pi\) | |||||||
\(270\) | −433.448 | + | 98.9316i | −1.60536 | + | 0.366413i | ||||
\(271\) | 14.5758 | − | 129.364i | 0.0537851 | − | 0.477356i | −0.937730 | − | 0.347365i | \(-0.887077\pi\) |
0.991515 | − | 0.129991i | \(-0.0414949\pi\) | |||||||
\(272\) | 327.184 | + | 520.710i | 1.20288 | + | 1.91437i | ||||
\(273\) | 272.167 | + | 272.167i | 0.996947 | + | 0.996947i | ||||
\(274\) | 322.872 | + | 73.6933i | 1.17836 | + | 0.268954i | ||||
\(275\) | 23.7678 | − | 67.9244i | 0.0864282 | − | 0.246998i | ||||
\(276\) | 157.299 | + | 55.0415i | 0.569926 | + | 0.199426i | ||||
\(277\) | 10.5344 | − | 46.1541i | 0.0380303 | − | 0.166621i | −0.952347 | − | 0.305018i | \(-0.901338\pi\) |
0.990377 | + | 0.138396i | \(0.0441948\pi\) | |||||||
\(278\) | −364.270 | + | 364.270i | −1.31032 | + | 1.31032i | ||||
\(279\) | −293.901 | + | 184.670i | −1.05341 | + | 0.661900i | ||||
\(280\) | 187.222 | + | 21.0948i | 0.668649 | + | 0.0753386i | ||||
\(281\) | 15.5090 | + | 67.9492i | 0.0551921 | + | 0.241812i | 0.994998 | − | 0.0998970i | \(-0.0318513\pi\) |
−0.939806 | + | 0.341709i | \(0.888994\pi\) | |||||||
\(282\) | −254.328 | − | 159.805i | −0.901874 | − | 0.566685i | ||||
\(283\) | 430.103 | + | 342.995i | 1.51980 | + | 1.21200i | 0.906544 | + | 0.422111i | \(0.138711\pi\) |
0.613253 | + | 0.789887i | \(0.289861\pi\) | |||||||
\(284\) | −6.55813 | + | 3.15823i | −0.0230920 | + | 0.0111205i | ||||
\(285\) | 22.7629 | + | 10.9620i | 0.0798697 | + | 0.0384632i | ||||
\(286\) | −130.294 | − | 163.384i | −0.455574 | − | 0.571272i | ||||
\(287\) | 59.9798 | − | 6.75810i | 0.208989 | − | 0.0235474i | ||||
\(288\) | 111.597 | + | 318.927i | 0.387491 | + | 1.10739i | ||||
\(289\) | − | 686.921i | − | 2.37689i | ||||||
\(290\) | −282.645 | − | 299.672i | −0.974638 | − | 1.03335i | ||||
\(291\) | −5.07323 | −0.0174338 | ||||||||
\(292\) | −76.3915 | + | 26.7305i | −0.261615 | + | 0.0915430i | ||||
\(293\) | 35.7040 | + | 316.882i | 0.121857 | + | 1.08151i | 0.894624 | + | 0.446819i | \(0.147443\pi\) |
−0.772768 | + | 0.634689i | \(0.781128\pi\) | |||||||
\(294\) | −199.478 | + | 159.078i | −0.678496 | + | 0.541082i | ||||
\(295\) | 46.0210 | − | 95.5636i | 0.156003 | − | 0.323944i | ||||
\(296\) | −20.7349 | − | 43.0566i | −0.0700505 | − | 0.145461i | ||||
\(297\) | −116.097 | + | 145.581i | −0.390899 | + | 0.490171i | ||||
\(298\) | 193.868 | − | 308.538i | 0.650562 | − | 1.03536i | ||||
\(299\) | −344.618 | + | 78.6568i | −1.15257 | + | 0.263066i | ||||
\(300\) | −9.61704 | + | 85.3536i | −0.0320568 | + | 0.284512i | ||||
\(301\) | −25.8389 | − | 41.1223i | −0.0858434 | − | 0.136619i | ||||
\(302\) | −311.555 | − | 311.555i | −1.03164 | − | 1.03164i | ||||
\(303\) | −639.443 | − | 145.949i | −2.11037 | − | 0.481679i | ||||
\(304\) | 5.46622 | − | 15.6216i | 0.0179810 | − | 0.0513867i | ||||
\(305\) | 352.877 | + | 123.477i | 1.15698 | + | 0.404843i | ||||
\(306\) | 248.756 | − | 1089.87i | 0.812929 | − | 3.56168i | ||||
\(307\) | 361.966 | − | 361.966i | 1.17904 | − | 1.17904i | 0.199053 | − | 0.979989i | \(-0.436213\pi\) |
0.979989 | − | 0.199053i | \(-0.0637867\pi\) | |||||||
\(308\) | −37.5499 | + | 23.5942i | −0.121915 | + | 0.0766044i | ||||
\(309\) | −34.2298 | − | 3.85677i | −0.110776 | − | 0.0124814i | ||||
\(310\) | 71.5045 | + | 313.282i | 0.230660 | + | 1.01059i | ||||
\(311\) | 409.769 | + | 257.475i | 1.31758 | + | 0.827893i | 0.993017 | − | 0.117970i | \(-0.0376387\pi\) |
0.324567 | + | 0.945863i | \(0.394782\pi\) | |||||||
\(312\) | −346.992 | − | 276.717i | −1.11215 | − | 0.886912i | ||||
\(313\) | 276.742 | − | 133.272i | 0.884159 | − | 0.425789i | 0.0640173 | − | 0.997949i | \(-0.479609\pi\) |
0.820142 | + | 0.572160i | \(0.193894\pi\) | |||||||
\(314\) | 323.117 | + | 155.605i | 1.02903 | + | 0.495557i | ||||
\(315\) | −301.794 | − | 378.437i | −0.958075 | − | 1.20139i | ||||
\(316\) | 125.331 | − | 14.1214i | 0.396617 | − | 0.0446880i | ||||
\(317\) | 184.663 | + | 527.737i | 0.582534 | + | 1.66479i | 0.736281 | + | 0.676676i | \(0.236580\pi\) |
−0.153747 | + | 0.988110i | \(0.549134\pi\) | |||||||
\(318\) | 609.552i | 1.91683i | ||||||||
\(319\) | −170.804 | − | 24.3195i | −0.535437 | − | 0.0762366i | ||||
\(320\) | −166.784 | −0.521200 | ||||||||
\(321\) | 313.252 | − | 109.611i | 0.975861 | − | 0.341469i | ||||
\(322\) | 31.7418 | + | 281.716i | 0.0985769 | + | 0.874894i | ||||
\(323\) | −20.5343 | + | 16.3756i | −0.0635737 | + | 0.0506983i | ||||
\(324\) | 10.2001 | − | 21.1808i | 0.0314819 | − | 0.0653729i | ||||
\(325\) | −79.0480 | − | 164.145i | −0.243225 | − | 0.505061i | ||||
\(326\) | 334.492 | − | 419.440i | 1.02605 | − | 1.28663i | ||||
\(327\) | 467.895 | − | 744.650i | 1.43087 | − | 2.27722i | ||||
\(328\) | −67.8536 | + | 15.4871i | −0.206871 | + | 0.0472169i | ||||
\(329\) | 15.1377 | − | 134.351i | 0.0460113 | − | 0.408362i | ||||
\(330\) | 221.831 | + | 353.042i | 0.672214 | + | 1.06982i | ||||
\(331\) | −418.557 | − | 418.557i | −1.26452 | − | 1.26452i | −0.948877 | − | 0.315645i | \(-0.897779\pi\) |
−0.315645 | − | 0.948877i | \(-0.602221\pi\) | |||||||
\(332\) | −108.904 | − | 24.8567i | −0.328025 | − | 0.0748695i | ||||
\(333\) | −40.5504 | + | 115.887i | −0.121773 | + | 0.348008i | ||||
\(334\) | 271.606 | + | 95.0390i | 0.813191 | + | 0.284548i | ||||
\(335\) | −36.4297 | + | 159.609i | −0.108745 | + | 0.476445i | ||||
\(336\) | −355.723 | + | 355.723i | −1.05870 | + | 1.05870i | ||||
\(337\) | −535.661 | + | 336.578i | −1.58950 | + | 0.998748i | −0.611218 | + | 0.791463i | \(0.709320\pi\) |
−0.978281 | + | 0.207285i | \(0.933537\pi\) | |||||||
\(338\) | −134.070 | − | 15.1061i | −0.396657 | − | 0.0446926i | ||||
\(339\) | −15.6109 | − | 68.3958i | −0.0460498 | − | 0.201757i | ||||
\(340\) | −231.864 | − | 145.690i | −0.681954 | − | 0.428500i | ||||
\(341\) | 105.221 | + | 83.9110i | 0.308566 | + | 0.246073i | ||||
\(342\) | −27.1060 | + | 13.0536i | −0.0792573 | + | 0.0381683i | ||||
\(343\) | −332.133 | − | 159.947i | −0.968316 | − | 0.466317i | ||||
\(344\) | 34.9157 | + | 43.7829i | 0.101499 | + | 0.127276i | ||||
\(345\) | 700.832 | − | 78.9648i | 2.03140 | − | 0.228883i | ||||
\(346\) | 24.9002 | + | 71.1607i | 0.0719659 | + | 0.205667i | ||||
\(347\) | 141.419i | 0.407547i | 0.979018 | + | 0.203774i | \(0.0653207\pi\) | ||||
−0.979018 | + | 0.203774i | \(0.934679\pi\) | |||||||
\(348\) | 205.218 | − | 17.0657i | 0.589706 | − | 0.0490393i | ||||
\(349\) | −571.537 | −1.63764 | −0.818821 | − | 0.574048i | \(-0.805372\pi\) | ||||
−0.818821 | + | 0.574048i | \(0.805372\pi\) | |||||||
\(350\) | −137.918 | + | 48.2596i | −0.394052 | + | 0.137885i | ||||
\(351\) | 52.7815 | + | 468.449i | 0.150375 | + | 1.33461i | ||||
\(352\) | 102.428 | − | 81.6833i | 0.290987 | − | 0.232055i | ||||
\(353\) | 6.08107 | − | 12.6275i | 0.0172268 | − | 0.0357719i | −0.892178 | − | 0.451684i | \(-0.850823\pi\) |
0.909405 | + | 0.415912i | \(0.136538\pi\) | |||||||
\(354\) | 86.9464 | + | 180.546i | 0.245611 | + | 0.510017i | ||||
\(355\) | −19.2063 | + | 24.0840i | −0.0541023 | + | 0.0678421i | ||||
\(356\) | −111.978 | + | 178.212i | −0.314545 | + | 0.500595i | ||||
\(357\) | 778.323 | − | 177.647i | 2.18018 | − | 0.497611i | ||||
\(358\) | 70.2120 | − | 623.148i | 0.196123 | − | 1.74064i | ||||
\(359\) | 8.23661 | + | 13.1085i | 0.0229432 | + | 0.0365139i | 0.857999 | − | 0.513651i | \(-0.171708\pi\) |
−0.835056 | + | 0.550165i | \(0.814565\pi\) | |||||||
\(360\) | 394.659 | + | 394.659i | 1.09627 | + | 1.09627i | ||||
\(361\) | −351.260 | − | 80.1728i | −0.973019 | − | 0.222085i | ||||
\(362\) | 82.0402 | − | 234.457i | 0.226630 | − | 0.647672i | ||||
\(363\) | −398.676 | − | 139.503i | −1.09828 | − | 0.384305i | ||||
\(364\) | −24.9832 | + | 109.459i | −0.0686351 | + | 0.300710i | ||||
\(365\) | −242.190 | + | 242.190i | −0.663534 | + | 0.663534i | ||||
\(366\) | −598.058 | + | 375.785i | −1.63404 | + | 1.02673i | ||||
\(367\) | 281.948 | + | 31.7679i | 0.768249 | + | 0.0865609i | 0.487386 | − | 0.873187i | \(-0.337951\pi\) |
0.280864 | + | 0.959748i | \(0.409379\pi\) | |||||||
\(368\) | −102.805 | − | 450.417i | −0.279361 | − | 1.22396i | ||||
\(369\) | 151.401 | + | 95.1313i | 0.410300 | + | 0.257808i | ||||
\(370\) | 88.8650 | + | 70.8675i | 0.240176 | + | 0.191534i | ||||
\(371\) | −247.199 | + | 119.045i | −0.666306 | + | 0.320876i | ||||
\(372\) | −144.728 | − | 69.6974i | −0.389054 | − | 0.187359i | ||||
\(373\) | 146.301 | + | 183.455i | 0.392227 | + | 0.491837i | 0.938262 | − | 0.345925i | \(-0.112435\pi\) |
−0.546035 | + | 0.837762i | \(0.683863\pi\) | |||||||
\(374\) | −430.719 | + | 48.5304i | −1.15166 | + | 0.129760i | ||||
\(375\) | −128.073 | − | 366.011i | −0.341527 | − | 0.976029i | ||||
\(376\) | 155.896i | 0.414618i | ||||||||
\(377\) | −349.306 | + | 262.234i | −0.926541 | + | 0.695580i | ||||
\(378\) | 378.083 | 1.00022 | ||||||||
\(379\) | 549.482 | − | 192.272i | 1.44982 | − | 0.507314i | 0.513386 | − | 0.858158i | \(-0.328391\pi\) |
0.936434 | + | 0.350844i | \(0.114105\pi\) | |||||||
\(380\) | 0.825134 | + | 7.32327i | 0.00217140 | + | 0.0192718i | ||||
\(381\) | −412.461 | + | 328.926i | −1.08257 | + | 0.863324i | ||||
\(382\) | −104.046 | + | 216.054i | −0.272371 | + | 0.565585i | ||||
\(383\) | −177.905 | − | 369.424i | −0.464504 | − | 0.964553i | −0.993274 | − | 0.115788i | \(-0.963061\pi\) |
0.528770 | − | 0.848765i | \(-0.322654\pi\) | |||||||
\(384\) | 467.436 | − | 586.146i | 1.21728 | − | 1.52642i | ||||
\(385\) | −99.8502 | + | 158.911i | −0.259351 | + | 0.412755i | ||||
\(386\) | 434.835 | − | 99.2484i | 1.12652 | − | 0.257120i | ||||
\(387\) | 16.1086 | − | 142.968i | 0.0416242 | − | 0.369425i | ||||
\(388\) | −0.787317 | − | 1.25301i | −0.00202917 | − | 0.00322940i | ||||
\(389\) | 57.4399 | + | 57.4399i | 0.147661 | + | 0.147661i | 0.777072 | − | 0.629412i | \(-0.216704\pi\) |
−0.629412 | + | 0.777072i | \(0.716704\pi\) | |||||||
\(390\) | 1029.12 | + | 234.890i | 2.63877 | + | 0.602283i | ||||
\(391\) | −242.150 | + | 692.024i | −0.619309 | + | 1.76988i | ||||
\(392\) | 124.992 | + | 43.7367i | 0.318858 | + | 0.111573i | ||||
\(393\) | −17.5132 | + | 76.7304i | −0.0445629 | + | 0.195243i | ||||
\(394\) | −85.2996 | + | 85.2996i | −0.216496 | + | 0.216496i | ||||
\(395\) | 451.943 | − | 283.975i | 1.14416 | − | 0.718923i | ||||
\(396\) | −130.548 | − | 14.7092i | −0.329665 | − | 0.0371444i | ||||
\(397\) | 22.5451 | + | 98.7767i | 0.0567887 | + | 0.248808i | 0.995353 | − | 0.0962980i | \(-0.0307002\pi\) |
−0.938564 | + | 0.345106i | \(0.887843\pi\) | |||||||
\(398\) | −1.01883 | − | 0.640176i | −0.00255988 | − | 0.00160848i | ||||
\(399\) | −16.7978 | − | 13.3958i | −0.0420998 | − | 0.0335735i | ||||
\(400\) | 214.538 | − | 103.316i | 0.536345 | − | 0.258290i | ||||
\(401\) | 107.974 | + | 51.9976i | 0.269262 | + | 0.129670i | 0.563643 | − | 0.826018i | \(-0.309399\pi\) |
−0.294381 | + | 0.955688i | \(0.595113\pi\) | |||||||
\(402\) | −192.846 | − | 241.821i | −0.479715 | − | 0.601544i | ||||
\(403\) | 338.579 | − | 38.1487i | 0.840147 | − | 0.0946619i | ||||
\(404\) | −63.1884 | − | 180.582i | −0.156407 | − | 0.446985i | ||||
\(405\) | − | 99.4895i | − | 0.245653i | ||||||
\(406\) | 177.627 | + | 301.937i | 0.437506 | + | 0.743687i | ||||
\(407\) | 47.6042 | 0.116964 | ||||||||
\(408\) | −868.884 | + | 304.036i | −2.12962 | + | 0.745186i | ||||
\(409\) | −42.0942 | − | 373.596i | −0.102920 | − | 0.913438i | −0.933997 | − | 0.357281i | \(-0.883704\pi\) |
0.831077 | − | 0.556157i | \(-0.187725\pi\) | |||||||
\(410\) | 129.420 | − | 103.209i | 0.315659 | − | 0.251730i | ||||
\(411\) | −303.988 | + | 631.237i | −0.739630 | + | 1.53586i | ||||
\(412\) | −4.35957 | − | 9.05274i | −0.0105815 | − | 0.0219727i | ||||
\(413\) | −56.2386 | + | 70.5210i | −0.136171 | + | 0.170753i | ||||
\(414\) | −446.817 | + | 711.105i | −1.07927 | + | 1.71765i | ||||
\(415\) | −460.881 | + | 105.193i | −1.11056 | + | 0.253477i | ||||
\(416\) | 37.1359 | − | 329.590i | 0.0892691 | − | 0.792285i | ||||
\(417\) | −579.831 | − | 922.795i | −1.39048 | − | 2.21294i | ||||
\(418\) | 8.24843 | + | 8.24843i | 0.0197331 | + | 0.0197331i | ||||
\(419\) | −231.325 | − | 52.7983i | −0.552087 | − | 0.126010i | −0.0626288 | − | 0.998037i | \(-0.519948\pi\) |
−0.489459 | + | 0.872027i | \(0.662806\pi\) | |||||||
\(420\) | 73.9854 | − | 211.438i | 0.176156 | − | 0.503424i | ||||
\(421\) | 120.085 | + | 42.0197i | 0.285238 | + | 0.0998092i | 0.469106 | − | 0.883142i | \(-0.344576\pi\) |
−0.183868 | + | 0.982951i | \(0.558862\pi\) | |||||||
\(422\) | −79.6642 | + | 349.032i | −0.188778 | + | 0.827089i | ||||
\(423\) | 283.209 | − | 283.209i | 0.669524 | − | 0.669524i | ||||
\(424\) | 267.877 | − | 168.318i | 0.631786 | − | 0.396977i | ||||
\(425\) | −375.505 | − | 42.3093i | −0.883542 | − | 0.0995512i | ||||
\(426\) | −12.9503 | − | 56.7392i | −0.0303999 | − | 0.133191i | ||||
\(427\) | −269.197 | − | 169.148i | −0.630438 | − | 0.396131i | ||||
\(428\) | 75.6860 | + | 60.3575i | 0.176836 | + | 0.141022i | ||||
\(429\) | 398.319 | − | 191.820i | 0.928483 | − | 0.447134i | ||||
\(430\) | −120.002 | − | 57.7901i | −0.279075 | − | 0.134396i | ||||
\(431\) | 102.073 | + | 127.996i | 0.236828 | + | 0.296973i | 0.886016 | − | 0.463655i | \(-0.153462\pi\) |
−0.649187 | + | 0.760629i | \(0.724891\pi\) | |||||||
\(432\) | −612.265 | + | 68.9857i | −1.41728 | + | 0.159689i | ||||
\(433\) | −29.3711 | − | 83.9378i | −0.0678316 | − | 0.193852i | 0.904978 | − | 0.425459i | \(-0.139887\pi\) |
−0.972809 | + | 0.231607i | \(0.925602\pi\) | |||||||
\(434\) | − | 273.266i | − | 0.629644i | ||||||
\(435\) | 751.136 | − | 441.888i | 1.72675 | − | 1.01583i | ||||
\(436\) | 256.530 | 0.588371 | ||||||||
\(437\) | 18.6240 | − | 6.51683i | 0.0426179 | − | 0.0149127i | ||||
\(438\) | −72.4515 | − | 643.024i | −0.165414 | − | 1.46809i | ||||
\(439\) | 377.689 | − | 301.197i | 0.860340 | − | 0.686098i | −0.0904611 | − | 0.995900i | \(-0.528834\pi\) |
0.950801 | + | 0.309802i | \(0.100263\pi\) | |||||||
\(440\) | 93.8946 | − | 194.974i | 0.213397 | − | 0.443123i | ||||
\(441\) | −147.613 | − | 306.521i | −0.334722 | − | 0.695058i | ||||
\(442\) | −684.185 | + | 857.941i | −1.54793 | + | 1.94104i | ||||
\(443\) | −33.5662 | + | 53.4203i | −0.0757703 | + | 0.120588i | −0.882460 | − | 0.470388i | \(-0.844114\pi\) |
0.806690 | + | 0.590975i | \(0.201257\pi\) | |||||||
\(444\) | −55.3951 | + | 12.6436i | −0.124764 | + | 0.0284765i | ||||
\(445\) | −99.7284 | + | 885.114i | −0.224109 | + | 1.98902i | ||||
\(446\) | 98.8157 | + | 157.264i | 0.221560 | + | 0.352610i | ||||
\(447\) | 545.102 | + | 545.102i | 1.21947 | + | 1.21947i | ||||
\(448\) | 138.277 | + | 31.5608i | 0.308654 | + | 0.0704482i | ||||
\(449\) | 224.975 | − | 642.941i | 0.501058 | − | 1.43194i | −0.364534 | − | 0.931190i | \(-0.618772\pi\) |
0.865592 | − | 0.500751i | \(-0.166943\pi\) | |||||||
\(450\) | −408.566 | − | 142.964i | −0.907925 | − | 0.317697i | ||||
\(451\) | 15.4272 | − | 67.5910i | 0.0342066 | − | 0.149869i | ||||
\(452\) | 14.4700 | − | 14.4700i | 0.0320133 | − | 0.0320133i | ||||
\(453\) | 789.256 | − | 495.922i | 1.74229 | − | 1.09475i | ||||
\(454\) | 975.565 | + | 109.920i | 2.14882 | + | 0.242114i | ||||
\(455\) | 105.729 | + | 463.227i | 0.232370 | + | 1.01808i | ||||
\(456\) | 20.9767 | + | 13.1806i | 0.0460016 | + | 0.0289047i | ||||
\(457\) | −81.2493 | − | 64.7942i | −0.177788 | − | 0.141782i | 0.530552 | − | 0.847652i | \(-0.321985\pi\) |
−0.708341 | + | 0.705871i | \(0.750556\pi\) | |||||||
\(458\) | 414.684 | − | 199.701i | 0.905424 | − | 0.436029i | ||||
\(459\) | 880.946 | + | 424.241i | 1.91927 | + | 0.924272i | ||||
\(460\) | 128.266 | + | 160.840i | 0.278838 | + | 0.349652i | ||||
\(461\) | 286.769 | − | 32.3111i | 0.622058 | − | 0.0700891i | 0.204690 | − | 0.978827i | \(-0.434381\pi\) |
0.417368 | + | 0.908738i | \(0.362953\pi\) | |||||||
\(462\) | −117.108 | − | 334.676i | −0.253481 | − | 0.724408i | ||||
\(463\) | − | 377.960i | − | 0.816329i | −0.912908 | − | 0.408164i | \(-0.866169\pi\) | ||
0.912908 | − | 0.408164i | \(-0.133831\pi\) | |||||||
\(464\) | −342.740 | − | 456.544i | −0.738664 | − | 0.983931i | ||||
\(465\) | −679.810 | −1.46196 | ||||||||
\(466\) | −268.604 | + | 93.9888i | −0.576404 | + | 0.201693i | ||||
\(467\) | −89.7450 | − | 796.509i | −0.192173 | − | 1.70559i | −0.606193 | − | 0.795318i | \(-0.707304\pi\) |
0.414019 | − | 0.910268i | \(-0.364125\pi\) | |||||||
\(468\) | −260.035 | + | 207.371i | −0.555630 | + | 0.443100i | ||||
\(469\) | 60.4061 | − | 125.435i | 0.128798 | − | 0.267451i | ||||
\(470\) | −160.879 | − | 334.068i | −0.342295 | − | 0.710782i | ||||
\(471\) | −473.048 | + | 593.183i | −1.00435 | + | 1.25941i | ||||
\(472\) | 55.3349 | − | 88.0650i | 0.117235 | − | 0.186578i | ||||
\(473\) | −54.3851 | + | 12.4130i | −0.114979 | + | 0.0262432i | ||||
\(474\) | −112.906 | + | 1002.07i | −0.238199 | + | 2.11407i | ||||
\(475\) | 5.41060 | + | 8.61092i | 0.0113907 | + | 0.0181283i | ||||
\(476\) | 164.664 | + | 164.664i | 0.345934 | + | 0.345934i | ||||
\(477\) | −792.413 | − | 180.863i | −1.66124 | − | 0.379168i | ||||
\(478\) | −236.334 | + | 675.405i | −0.494423 | + | 1.41298i | ||||
\(479\) | −392.771 | − | 137.436i | −0.819981 | − | 0.286924i | −0.112496 | − | 0.993652i | \(-0.535885\pi\) |
−0.707485 | + | 0.706729i | \(0.750170\pi\) | |||||||
\(480\) | −147.256 | + | 645.170i | −0.306783 | + | 1.34411i | ||||
\(481\) | 85.2198 | − | 85.2198i | 0.177172 | − | 0.177172i | ||||
\(482\) | 271.327 | − | 170.486i | 0.562919 | − | 0.353705i | ||||
\(483\) | −595.987 | − | 67.1516i | −1.23393 | − | 0.139030i | ||||
\(484\) | −27.4157 | − | 120.116i | −0.0566441 | − | 0.248174i | ||||
\(485\) | −5.30271 | − | 3.33192i | −0.0109334 | − | 0.00686993i | ||||
\(486\) | −366.680 | − | 292.418i | −0.754486 | − | 0.601682i | ||||
\(487\) | −642.025 | + | 309.183i | −1.31833 | + | 0.634873i | −0.954949 | − | 0.296769i | \(-0.904091\pi\) |
−0.363378 | + | 0.931642i | \(0.618377\pi\) | |||||||
\(488\) | 330.289 | + | 159.059i | 0.676822 | + | 0.325940i | ||||
\(489\) | 707.638 | + | 887.350i | 1.44711 | + | 1.81462i | ||||
\(490\) | −312.978 | + | 35.2641i | −0.638731 | + | 0.0719676i | ||||
\(491\) | −16.0776 | − | 45.9471i | −0.0327446 | − | 0.0935786i | 0.926351 | − | 0.376662i | \(-0.122928\pi\) |
−0.959095 | + | 0.283084i | \(0.908643\pi\) | |||||||
\(492\) | 82.7504i | 0.168192i | ||||||||
\(493\) | 75.0788 | + | 902.836i | 0.152290 | + | 1.83131i | ||||
\(494\) | 29.5322 | 0.0597819 | ||||||||
\(495\) | −524.772 | + | 183.626i | −1.06015 | + | 0.370961i | ||||
\(496\) | 49.8605 | + | 442.525i | 0.100525 | + | 0.892187i | ||||
\(497\) | 20.4810 | − | 16.3330i | 0.0412092 | − | 0.0328632i | ||||
\(498\) | 387.512 | − | 804.678i | 0.778137 | − | 1.61582i | ||||
\(499\) | 336.600 | + | 698.958i | 0.674550 | + | 1.40072i | 0.904058 | + | 0.427410i | \(0.140574\pi\) |
−0.229508 | + | 0.973307i | \(0.573712\pi\) | |||||||
\(500\) | 70.5233 | − | 88.4334i | 0.141047 | − | 0.176867i | ||||
\(501\) | −323.880 | + | 515.452i | −0.646467 | + | 1.02885i | ||||
\(502\) | 756.431 | − | 172.650i | 1.50683 | − | 0.343925i | ||||
\(503\) | −52.8932 | + | 469.440i | −0.105156 | + | 0.933281i | 0.824754 | + | 0.565492i | \(0.191314\pi\) |
−0.929909 | + | 0.367789i | \(0.880115\pi\) | |||||||
\(504\) | −252.521 | − | 401.885i | −0.501034 | − | 0.797391i | ||||
\(505\) | −572.514 | − | 572.514i | −1.13369 | − | 1.13369i | ||||
\(506\) | 317.464 | + | 72.4592i | 0.627400 | + | 0.143200i | ||||
\(507\) | 94.2710 | − | 269.411i | 0.185939 | − | 0.531383i | ||||
\(508\) | −145.250 | − | 50.8250i | −0.285924 | − | 0.100049i | ||||
\(509\) | −171.270 | + | 750.383i | −0.336483 | + | 1.47423i | 0.469838 | + | 0.882753i | \(0.344312\pi\) |
−0.806322 | + | 0.591477i | \(0.798545\pi\) | |||||||
\(510\) | 1548.16 | − | 1548.16i | 3.03562 | − | 3.03562i | ||||
\(511\) | 246.624 | − | 154.964i | 0.482631 | − | 0.303257i | ||||
\(512\) | −36.5399 | − | 4.11706i | −0.0713670 | − | 0.00804114i | ||||
\(513\) | −5.85548 | − | 25.6545i | −0.0114142 | − | 0.0500088i | ||||
\(514\) | −140.905 | − | 88.5362i | −0.274133 | − | 0.172249i | ||||
\(515\) | −33.2451 | − | 26.5121i | −0.0645537 | − | 0.0514798i | ||||
\(516\) | 59.9889 | − | 28.8891i | 0.116258 | − | 0.0559867i | ||||
\(517\) | −139.914 | − | 67.3791i | −0.270627 | − | 0.130327i | ||||
\(518\) | −60.2657 | − | 75.5708i | −0.116343 | − | 0.145890i | ||||
\(519\) | −158.492 | + | 17.8578i | −0.305380 | + | 0.0344081i | ||||
\(520\) | −180.950 | − | 517.126i | −0.347981 | − | 0.994472i | ||||
\(521\) | − | 306.568i | − | 0.588421i | −0.955741 | − | 0.294211i | \(-0.904943\pi\) | ||
0.955741 | − | 0.294211i | \(-0.0950567\pi\) | |||||||
\(522\) | −146.282 | + | 1027.39i | −0.280234 | + | 1.96818i | ||||
\(523\) | 789.078 | 1.50875 | 0.754377 | − | 0.656442i | \(-0.227939\pi\) | ||||
0.754377 | + | 0.656442i | \(0.227939\pi\) | |||||||
\(524\) | −21.6691 | + | 7.58234i | −0.0413532 | + | 0.0144701i | ||||
\(525\) | −34.6106 | − | 307.177i | −0.0659249 | − | 0.585099i | ||||
\(526\) | −425.669 | + | 339.459i | −0.809256 | + | 0.645360i | ||||
\(527\) | 306.627 | − | 636.718i | 0.581836 | − | 1.20819i | ||||
\(528\) | 250.710 | + | 520.605i | 0.474830 | + | 0.985994i | ||||
\(529\) | 13.5904 | − | 17.0418i | 0.0256907 | − | 0.0322151i | ||||
\(530\) | −400.332 | + | 637.124i | −0.755343 | + | 1.20212i | ||||
\(531\) | −260.507 | + | 59.4590i | −0.490597 | + | 0.111976i | ||||
\(532\) | 0.701693 | − | 6.22770i | 0.00131897 | − | 0.0117062i | ||||
\(533\) | −93.3822 | − | 148.617i | −0.175201 | − | 0.278831i | ||||
\(534\) | −1189.92 | − | 1189.92i | −2.22832 | − | 2.22832i | ||||
\(535\) | 399.410 | + | 91.1628i | 0.746561 | + | 0.170398i | ||||
\(536\) | −53.0206 | + | 151.524i | −0.0989191 | + | 0.282694i | ||||
\(537\) | 1252.20 | + | 438.165i | 2.33185 | + | 0.815949i | ||||
\(538\) | 172.391 | − | 755.293i | 0.320429 | − | 1.40389i | ||||
\(539\) | −93.2750 | + | 93.2750i | −0.173052 | + | 0.173052i | ||||
\(540\) | 232.305 | − | 145.967i | 0.430195 | − | 0.270309i | ||||
\(541\) | 231.201 | + | 26.0502i | 0.427359 | + | 0.0481518i | 0.323025 | − | 0.946390i | \(-0.395300\pi\) |
0.104334 | + | 0.994542i | \(0.466729\pi\) | |||||||
\(542\) | 67.5600 | + | 296.000i | 0.124649 | + | 0.546125i | ||||
\(543\) | 444.952 | + | 279.582i | 0.819433 | + | 0.514884i | ||||
\(544\) | −537.855 | − | 428.925i | −0.988703 | − | 0.788465i | ||||
\(545\) | 978.119 | − | 471.037i | 1.79471 | − | 0.864288i | ||||
\(546\) | −808.774 | − | 389.485i | −1.48127 | − | 0.713342i | ||||
\(547\) | 5.46184 | + | 6.84892i | 0.00998507 | + | 0.0125209i | 0.786799 | − | 0.617209i | \(-0.211737\pi\) |
−0.776814 | + | 0.629730i | \(0.783165\pi\) | |||||||
\(548\) | −203.082 | + | 22.8818i | −0.370587 | + | 0.0417551i | ||||
\(549\) | −311.065 | − | 888.972i | −0.566602 | − | 1.61926i | ||||
\(550\) | 167.832i | 0.305149i | ||||||||
\(551\) | 17.7367 | − | 16.7290i | 0.0321901 | − | 0.0303611i | ||||
\(552\) | 691.564 | 1.25283 | ||||||||
\(553\) | −428.433 | + | 149.915i | −0.774743 | + | 0.271094i | ||||
\(554\) | 12.3619 | + | 109.715i | 0.0223139 | + | 0.198042i | ||||
\(555\) | −187.999 | + | 149.925i | −0.338738 | + | 0.270134i | ||||
\(556\) | 137.932 | − | 286.418i | 0.248079 | − | 0.515141i | ||||
\(557\) | −184.669 | − | 383.470i | −0.331543 | − | 0.688456i | 0.666846 | − | 0.745195i | \(-0.267644\pi\) |
−0.998389 | + | 0.0567395i | \(0.981930\pi\) | |||||||
\(558\) | 504.726 | − | 632.907i | 0.904527 | − | 1.13424i | ||||
\(559\) | −75.1373 | + | 119.580i | −0.134414 | + | 0.213918i | ||||
\(560\) | −605.440 | + | 138.188i | −1.08114 | + | 0.246764i | ||||
\(561\) | 102.669 | − | 911.213i | 0.183011 | − | 1.62427i | ||||
\(562\) | −86.4803 | − | 137.633i | −0.153880 | − | 0.244898i | ||||
\(563\) | 493.000 | + | 493.000i | 0.875666 | + | 0.875666i | 0.993083 | − | 0.117416i | \(-0.0374612\pi\) |
−0.117416 | + | 0.993083i | \(0.537461\pi\) | |||||||
\(564\) | 180.708 | + | 41.2455i | 0.320405 | + | 0.0731303i | ||||
\(565\) | 28.6029 | − | 81.7423i | 0.0506245 | − | 0.144677i | ||||
\(566\) | −1211.00 | − | 423.748i | −2.13958 | − | 0.748671i | ||||
\(567\) | −18.8266 | + | 82.4846i | −0.0332038 | + | 0.145475i | ||||
\(568\) | −21.3589 | + | 21.3589i | −0.0376037 | + | 0.0376037i | ||||
\(569\) | −267.135 | + | 167.852i | −0.469482 | + | 0.294995i | −0.745919 | − | 0.666037i | \(-0.767989\pi\) |
0.276436 | + | 0.961032i | \(0.410846\pi\) | |||||||
\(570\) | −58.5524 | − | 6.59727i | −0.102724 | − | 0.0115742i | ||||
\(571\) | −136.850 | − | 599.581i | −0.239668 | − | 1.05005i | −0.941315 | − | 0.337529i | \(-0.890409\pi\) |
0.701647 | − | 0.712525i | \(-0.252448\pi\) | |||||||
\(572\) | 109.192 | + | 68.6099i | 0.190895 | + | 0.119947i | ||||
\(573\) | −396.634 | − | 316.305i | −0.692206 | − | 0.552016i | ||||
\(574\) | −126.830 | + | 61.0780i | −0.220958 | + | 0.106408i | ||||
\(575\) | 255.772 | + | 123.174i | 0.444822 | + | 0.214215i | ||||
\(576\) | 261.968 | + | 328.497i | 0.454805 | + | 0.570308i | ||||
\(577\) | −468.624 | + | 52.8013i | −0.812173 | + | 0.0915100i | −0.508275 | − | 0.861195i | \(-0.669717\pi\) |
−0.303898 | + | 0.952705i | \(0.598288\pi\) | |||||||
\(578\) | 529.121 | + | 1512.14i | 0.915434 | + | 2.61616i | ||||
\(579\) | 943.578i | 1.62967i | ||||||||
\(580\) | 225.709 | + | 116.942i | 0.389153 | + | 0.201624i | ||||
\(581\) | 402.012 | 0.691932 | ||||||||
\(582\) | 11.1679 | − | 3.90781i | 0.0191888 | − | 0.00671444i | ||||
\(583\) | 35.2850 | + | 313.163i | 0.0605231 | + | 0.537157i | ||||
\(584\) | −262.581 | + | 209.401i | −0.449625 | + | 0.358564i | ||||
\(585\) | −610.712 | + | 1268.16i | −1.04395 | + | 2.16779i | ||||
\(586\) | −322.684 | − | 670.061i | −0.550656 | − | 1.14345i | ||||
\(587\) | −125.247 | + | 157.054i | −0.213367 | + | 0.267554i | −0.876985 | − | 0.480518i | \(-0.840449\pi\) |
0.663618 | + | 0.748072i | \(0.269020\pi\) | |||||||
\(588\) | 83.7668 | − | 133.314i | 0.142461 | − | 0.226725i | ||||
\(589\) | −18.5422 | + | 4.23215i | −0.0314809 | + | 0.00718531i | ||||
\(590\) | −27.6968 | + | 245.816i | −0.0469438 | + | 0.416638i | ||||
\(591\) | −135.777 | − | 216.087i | −0.229741 | − | 0.365630i | ||||
\(592\) | 111.383 | + | 111.383i | 0.188146 | + | 0.188146i | ||||
\(593\) | −372.413 | − | 85.0008i | −0.628015 | − | 0.143340i | −0.103344 | − | 0.994646i | \(-0.532954\pi\) |
−0.524671 | + | 0.851305i | \(0.675812\pi\) | |||||||
\(594\) | 143.430 | − | 409.899i | 0.241464 | − | 0.690066i | ||||
\(595\) | 930.202 | + | 325.492i | 1.56337 | + | 0.547045i | ||||
\(596\) | −50.0370 | + | 219.226i | −0.0839546 | + | 0.367829i | ||||
\(597\) | 1.80000 | − | 1.80000i | 0.00301507 | − | 0.00301507i | ||||
\(598\) | 698.031 | − | 438.602i | 1.16728 | − | 0.733448i | ||||
\(599\) | −289.961 | − | 32.6708i | −0.484076 | − | 0.0545422i | −0.133445 | − | 0.991056i | \(-0.542604\pi\) |
−0.350630 | + | 0.936514i | \(0.614033\pi\) | |||||||
\(600\) | 79.3150 | + | 347.502i | 0.132192 | + | 0.579170i | ||||
\(601\) | 434.543 | + | 273.041i | 0.723033 | + | 0.454312i | 0.842618 | − | 0.538512i | \(-0.181013\pi\) |
−0.119585 | + | 0.992824i | \(0.538156\pi\) | |||||||
\(602\) | 88.5556 | + | 70.6207i | 0.147102 | + | 0.117310i | ||||
\(603\) | 371.585 | − | 178.946i | 0.616228 | − | 0.296760i | ||||
\(604\) | 244.970 | + | 117.971i | 0.405579 | + | 0.195317i | ||||
\(605\) | −325.089 | − | 407.649i | −0.537338 | − | 0.673800i | ||||
\(606\) | 1520.05 | − | 171.268i | 2.50833 | − | 0.282621i | ||||
\(607\) | 182.154 | + | 520.567i | 0.300090 | + | 0.857607i | 0.990904 | + | 0.134574i | \(0.0429667\pi\) |
−0.690814 | + | 0.723033i | \(0.742748\pi\) | |||||||
\(608\) | 18.5142i | 0.0304509i | ||||||||
\(609\) | −706.369 | + | 224.221i | −1.15988 | + | 0.368179i | ||||
\(610\) | −871.912 | −1.42936 | ||||||||
\(611\) | −371.091 | + | 129.850i | −0.607350 | + | 0.212521i | ||||
\(612\) | 77.2389 | + | 685.515i | 0.126207 | + | 1.12012i | ||||
\(613\) | 280.338 | − | 223.562i | 0.457321 | − | 0.364701i | −0.367567 | − | 0.929997i | \(-0.619809\pi\) |
0.824888 | + | 0.565295i | \(0.191238\pi\) | |||||||
\(614\) | −517.992 | + | 1075.62i | −0.843636 | + | 1.75183i | ||||
\(615\) | 151.945 | + | 315.518i | 0.247066 | + | 0.513037i | ||||
\(616\) | −114.741 | + | 143.881i | −0.186268 | + | 0.233573i | ||||
\(617\) | −279.227 | + | 444.387i | −0.452555 | + | 0.720238i | −0.992604 | − | 0.121396i | \(-0.961263\pi\) |
0.540049 | + | 0.841634i | \(0.318406\pi\) | |||||||
\(618\) | 78.3219 | − | 17.8765i | 0.126734 | − | 0.0289263i | ||||
\(619\) | 112.177 | − | 995.602i | 0.181224 | − | 1.60840i | −0.493103 | − | 0.869971i | \(-0.664137\pi\) |
0.674327 | − | 0.738433i | \(-0.264434\pi\) | |||||||
\(620\) | −105.500 | − | 167.902i | −0.170161 | − | 0.270810i | ||||
\(621\) | −519.413 | − | 519.413i | −0.836414 | − | 0.836414i | ||||
\(622\) | −1100.36 | − | 251.151i | −1.76907 | − | 0.403780i | ||||
\(623\) | 250.174 | − | 714.957i | 0.401564 | − | 1.14760i | ||||
\(624\) | 1380.79 | + | 483.159i | 2.21280 | + | 0.774293i | ||||
\(625\) | 173.808 | − | 761.503i | 0.278093 | − | 1.21841i | ||||
\(626\) | −506.544 | + | 506.544i | −0.809176 | + | 0.809176i | ||||
\(627\) | −20.8955 | + | 13.1295i | −0.0333262 | + | 0.0209402i | ||||
\(628\) | −219.919 | − | 24.7790i | −0.350190 | − | 0.0394569i | ||||
\(629\) | −55.6242 | − | 243.706i | −0.0884328 | − | 0.387449i | ||||
\(630\) | 955.851 | + | 600.601i | 1.51722 | + | 0.953335i | ||||
\(631\) | −434.398 | − | 346.421i | −0.688427 | − | 0.549002i | 0.215598 | − | 0.976482i | \(-0.430830\pi\) |
−0.904025 | + | 0.427480i | \(0.859401\pi\) | |||||||
\(632\) | 471.553 | − | 227.088i | 0.746128 | − | 0.359317i | ||||
\(633\) | −682.382 | − | 328.618i | −1.07801 | − | 0.519143i | ||||
\(634\) | −813.011 | − | 1019.48i | −1.28235 | − | 1.60802i | ||||
\(635\) | −647.145 | + | 72.9158i | −1.01913 | + | 0.114828i | ||||
\(636\) | −124.235 | − | 355.043i | −0.195338 | − | 0.558244i | ||||
\(637\) | 333.957i | 0.524266i | ||||||||
\(638\) | 394.730 | − | 78.0319i | 0.618699 | − | 0.122307i | ||||
\(639\) | 77.6031 | 0.121445 | ||||||||
\(640\) | 873.540 | − | 305.665i | 1.36491 | − | 0.477601i | ||||
\(641\) | −75.0000 | − | 665.643i | −0.117005 | − | 1.03845i | −0.905775 | − | 0.423758i | \(-0.860711\pi\) |
0.788771 | − | 0.614687i | \(-0.210718\pi\) | |||||||
\(642\) | −605.139 | + | 482.583i | −0.942585 | + | 0.751686i | ||||
\(643\) | 38.4657 | − | 79.8749i | 0.0598223 | − | 0.124222i | −0.868914 | − | 0.494963i | \(-0.835182\pi\) |
0.928737 | + | 0.370740i | \(0.120896\pi\) | |||||||
\(644\) | −75.9061 | − | 157.621i | −0.117867 | − | 0.244753i | ||||
\(645\) | 175.685 | − | 220.302i | 0.272380 | − | 0.341554i | ||||
\(646\) | 32.5891 | − | 51.8652i | 0.0504475 | − | 0.0802867i | ||||
\(647\) | −399.560 | + | 91.1970i | −0.617558 | + | 0.140954i | −0.519844 | − | 0.854261i | \(-0.674010\pi\) |
−0.0977136 | + | 0.995215i | \(0.531153\pi\) | |||||||
\(648\) | 10.9229 | − | 96.9431i | 0.0168563 | − | 0.149604i | ||||
\(649\) | 55.1207 | + | 87.7241i | 0.0849318 | + | 0.135168i | ||||
\(650\) | 300.448 | + | 300.448i | 0.462228 | + | 0.462228i | ||||
\(651\) | 563.616 | + | 128.642i | 0.865769 | + | 0.197606i | ||||
\(652\) | −109.343 | + | 312.484i | −0.167704 | + | 0.479270i | ||||
\(653\) | −28.0410 | − | 9.81196i | −0.0429418 | − | 0.0150260i | 0.308723 | − | 0.951152i | \(-0.400098\pi\) |
−0.351664 | + | 0.936126i | \(0.614384\pi\) | |||||||
\(654\) | −456.403 | + | 1999.63i | −0.697864 | + | 3.05754i | ||||
\(655\) | −68.6992 | + | 68.6992i | −0.104884 | + | 0.104884i | ||||
\(656\) | 194.243 | − | 122.051i | 0.296102 | − | 0.186053i | ||||
\(657\) | 857.425 | + | 96.6086i | 1.30506 | + | 0.147045i | ||||
\(658\) | 70.1647 | + | 307.411i | 0.106633 | + | 0.467191i | ||||
\(659\) | 839.507 | + | 527.497i | 1.27391 | + | 0.800451i | 0.987494 | − | 0.157655i | \(-0.0503933\pi\) |
0.286416 | + | 0.958105i | \(0.407536\pi\) | |||||||
\(660\) | −201.164 | − | 160.423i | −0.304794 | − | 0.243065i | ||||
\(661\) | 34.7693 | − | 16.7440i | 0.0526010 | − | 0.0253313i | −0.407398 | − | 0.913251i | \(-0.633564\pi\) |
0.459999 | + | 0.887919i | \(0.347850\pi\) | |||||||
\(662\) | 1243.79 | + | 598.977i | 1.87883 | + | 0.904799i | ||||
\(663\) | −1447.43 | − | 1815.03i | −2.18316 | − | 2.73760i | ||||
\(664\) | −460.634 | + | 51.9010i | −0.693726 | + | 0.0781642i | ||||
\(665\) | −8.75977 | − | 25.0340i | −0.0131726 | − | 0.0376451i | ||||
\(666\) | − | 286.340i | − | 0.429940i | ||||||
\(667\) | 170.777 | − | 658.829i | 0.256038 | − | 0.987750i | ||||
\(668\) | −177.572 | −0.265826 | ||||||||
\(669\) | −370.879 | + | 129.776i | −0.554378 | + | 0.193985i | ||||
\(670\) | −42.7496 | − | 379.413i | −0.0638054 | − | 0.566289i | ||||
\(671\) | −285.505 | + | 227.682i | −0.425491 | + | 0.339318i | ||||
\(672\) | 244.173 | − | 507.031i | 0.363353 | − | 0.754511i | ||||
\(673\) | 340.019 | + | 706.057i | 0.505229 | + | 1.04912i | 0.985132 | + | 0.171797i | \(0.0549575\pi\) |
−0.479903 | + | 0.877321i | \(0.659328\pi\) | |||||||
\(674\) | 919.909 | − | 1153.53i | 1.36485 | − | 1.71147i | ||||
\(675\) | 201.427 | − | 320.569i | 0.298411 | − | 0.474918i | ||||
\(676\) | 81.1703 | − | 18.5266i | 0.120074 | − | 0.0274062i | ||||
\(677\) | 72.2705 | − | 641.418i | 0.106751 | − | 0.947442i | −0.820153 | − | 0.572144i | \(-0.806112\pi\) |
0.926904 | − | 0.375298i | \(-0.122460\pi\) | |||||||
\(678\) | 87.0486 | + | 138.537i | 0.128390 | + | 0.204332i | ||||
\(679\) | 3.76586 | + | 3.76586i | 0.00554618 | + | 0.00554618i | ||||
\(680\) | −1107.87 | − | 252.864i | −1.62922 | − | 0.371858i | ||||
\(681\) | −685.965 | + | 1960.38i | −1.00729 | + | 2.87867i | ||||
\(682\) | −296.261 | − | 103.666i | −0.434401 | − | 0.152003i | ||||
\(683\) | 196.973 | − | 862.994i | 0.288393 | − | 1.26353i | −0.598336 | − | 0.801245i | \(-0.704171\pi\) |
0.886729 | − | 0.462289i | \(-0.152972\pi\) | |||||||
\(684\) | 13.1278 | − | 13.1278i | 0.0191927 | − | 0.0191927i | ||||
\(685\) | −732.313 | + | 460.143i | −1.06907 | + | 0.671741i | ||||
\(686\) | 854.338 | + | 96.2608i | 1.24539 | + | 0.140322i | ||||
\(687\) | 216.673 | + | 949.305i | 0.315389 | + | 1.38181i | ||||
\(688\) | −156.292 | − | 98.2047i | −0.227168 | − | 0.142739i | ||||
\(689\) | 623.782 | + | 497.450i | 0.905344 | + | 0.721988i | ||||
\(690\) | −1481.94 | + | 713.664i | −2.14774 | + | 1.03430i | ||||
\(691\) | 553.507 | + | 266.555i | 0.801023 | + | 0.385752i | 0.789168 | − | 0.614177i | \(-0.210512\pi\) |
0.0118551 | + | 0.999930i | \(0.496226\pi\) | |||||||
\(692\) | −29.0071 | − | 36.3737i | −0.0419177 | − | 0.0525632i | ||||
\(693\) | 469.825 | − | 52.9365i | 0.677958 | − | 0.0763875i | ||||
\(694\) | −108.932 | − | 311.310i | −0.156963 | − | 0.448574i | ||||
\(695\) | − | 1345.35i | − | 1.93575i | ||||||
\(696\) | 780.425 | − | 348.112i | 1.12130 | − | 0.500160i | ||||
\(697\) | −364.053 | −0.522314 | ||||||||
\(698\) | 1258.14 | − | 440.244i | 1.80250 | − | 0.630721i | ||||
\(699\) | −67.4063 | − | 598.248i | −0.0964325 | − | 0.855862i | ||||
\(700\) | 70.4967 | − | 56.2192i | 0.100710 | − | 0.0803132i | ||||
\(701\) | 92.4303 | − | 191.933i | 0.131855 | − | 0.273800i | −0.824580 | − | 0.565745i | \(-0.808588\pi\) |
0.956435 | + | 0.291946i | \(0.0943028\pi\) | |||||||
\(702\) | −477.026 | − | 990.555i | −0.679525 | − | 1.41105i | ||||
\(703\) | −4.19445 | + | 5.25967i | −0.00596650 | + | 0.00748175i | ||||
\(704\) | 86.6736 | − | 137.940i | 0.123116 | − | 0.195938i | ||||
\(705\) | 764.756 | − | 174.550i | 1.08476 | − | 0.247589i | ||||
\(706\) | −3.65977 | + | 32.4814i | −0.00518381 | + | 0.0460076i | ||||
\(707\) | 366.321 | + | 582.996i | 0.518134 | + | 0.824606i | ||||
\(708\) | −87.4412 | − | 87.4412i | −0.123504 | − | 0.123504i | ||||
\(709\) | 976.236 | + | 222.819i | 1.37692 | + | 0.314273i | 0.846015 | − | 0.533159i | \(-0.178995\pi\) |
0.530904 | + | 0.847432i | \(0.321852\pi\) | |||||||
\(710\) | 23.7281 | − | 67.8110i | 0.0334199 | − | 0.0955085i | ||||
\(711\) | −1269.18 | − | 444.106i | −1.78507 | − | 0.624622i | ||||
\(712\) | −194.352 | + | 851.511i | −0.272966 | + | 1.19594i | ||||
\(713\) | −375.415 | + | 375.415i | −0.526528 | + | 0.526528i | ||||
\(714\) | −1576.51 | + | 990.587i | −2.20800 | + | 1.38738i | ||||
\(715\) | 542.318 | + | 61.1045i | 0.758486 | + | 0.0854609i | ||||
\(716\) | 86.1102 | + | 377.273i | 0.120266 | + | 0.526918i | ||||
\(717\) | −1281.78 | − | 805.395i | −1.78770 | − | 1.12328i | ||||
\(718\) | −28.2287 | − | 22.5116i | −0.0393158 | − | 0.0313533i | ||||
\(719\) | −1085.74 | + | 522.866i | −1.51007 | + | 0.727213i | −0.991776 | − | 0.127987i | \(-0.959148\pi\) |
−0.518298 | + | 0.855200i | \(0.673434\pi\) | |||||||
\(720\) | −1657.48 | − | 798.202i | −2.30206 | − | 1.10861i | ||||
\(721\) | 22.5459 | + | 28.2716i | 0.0312703 | + | 0.0392117i | ||||
\(722\) | 834.995 | − | 94.0814i | 1.15650 | − | 0.130307i | ||||
\(723\) | 223.902 | + | 639.874i | 0.309684 | + | 0.885026i | ||||
\(724\) | 153.285i | 0.211719i | ||||||||
\(725\) | 350.639 | + | 10.2527i | 0.483640 | + | 0.0141417i | ||||
\(726\) | 985.075 | 1.35685 | ||||||||
\(727\) | −984.289 | + | 344.418i | −1.35391 | + | 0.473752i | −0.907113 | − | 0.420886i | \(-0.861719\pi\) |
−0.446792 | + | 0.894638i | \(0.647433\pi\) | |||||||
\(728\) | 52.1652 | + | 462.979i | 0.0716555 | + | 0.635960i | ||||
\(729\) | 890.673 | − | 710.288i | 1.22177 | − | 0.974332i | ||||
\(730\) | 346.587 | − | 719.695i | 0.474776 | − | 0.985883i | ||||
\(731\) | 127.095 | + | 263.916i | 0.173865 | + | 0.361034i | ||||
\(732\) | 271.759 | − | 340.775i | 0.371255 | − | 0.465539i | ||||
\(733\) | 365.036 | − | 580.951i | 0.498002 | − | 0.792566i | −0.499264 | − | 0.866450i | \(-0.666396\pi\) |
0.997267 | + | 0.0738833i | \(0.0235392\pi\) | |||||||
\(734\) | −645.131 | + | 147.247i | −0.878924 | + | 0.200609i | ||||
\(735\) | 74.6034 | − | 662.124i | 0.101501 | − | 0.900849i | ||||
\(736\) | 274.966 | + | 437.605i | 0.373594 | + | 0.594572i | ||||
\(737\) | −113.074 | − | 113.074i | −0.153425 | − | 0.153425i | ||||
\(738\) | −406.561 | − | 92.7949i | −0.550895 | − | 0.125738i | ||||
\(739\) | 282.220 | − | 806.539i | 0.381895 | − | 1.09139i | −0.579203 | − | 0.815183i | \(-0.696636\pi\) |
0.961098 | − | 0.276209i | \(-0.0890782\pi\) | |||||||
\(740\) | −66.2047 | − | 23.1660i | −0.0894658 | − | 0.0313054i | ||||
\(741\) | −13.9025 | + | 60.9108i | −0.0187618 | + | 0.0822008i | ||||
\(742\) | 452.470 | − | 452.470i | 0.609798 | − | 0.609798i | ||||
\(743\) | −277.918 | + | 174.627i | −0.374048 | + | 0.235030i | −0.705915 | − | 0.708296i | \(-0.749464\pi\) |
0.331868 | + | 0.943326i | \(0.392321\pi\) | |||||||
\(744\) | −662.411 | − | 74.6358i | −0.890337 | − | 0.100317i | ||||
\(745\) | 211.756 | + | 927.763i | 0.284236 | + | 1.24532i | ||||
\(746\) | −463.369 | − | 291.154i | −0.621138 | − | 0.390287i | ||||
\(747\) | 931.095 | + | 742.523i | 1.24645 | + | 0.994007i | ||||
\(748\) | 240.988 | − | 116.054i | 0.322177 | − | 0.155152i | ||||
\(749\) | −313.891 | − | 151.162i | −0.419080 | − | 0.201818i | ||||
\(750\) | 563.862 | + | 707.060i | 0.751816 | + | 0.942747i | ||||
\(751\) | 971.174 | − | 109.425i | 1.29318 | − | 0.145706i | 0.561567 | − | 0.827431i | \(-0.310199\pi\) |
0.731608 | + | 0.681725i | \(0.238770\pi\) | |||||||
\(752\) | −169.715 | − | 485.018i | −0.225685 | − | 0.644970i | ||||
\(753\) | 1641.43i | 2.17985i | ||||||||
\(754\) | 566.945 | − | 846.326i | 0.751917 | − | 1.12245i | ||||
\(755\) | 1150.66 | 1.52405 | ||||||||
\(756\) | −220.221 | + | 77.0585i | −0.291297 | + | 0.101929i | ||||
\(757\) | −0.974699 | − | 8.65069i | −0.00128758 | − | 0.0114276i | 0.993052 | − | 0.117676i | \(-0.0375446\pi\) |
−0.994340 | + | 0.106249i | \(0.966116\pi\) | |||||||
\(758\) | −1061.49 | + | 846.509i | −1.40038 | + | 1.11677i | ||||
\(759\) | −298.897 | + | 620.666i | −0.393803 | + | 0.817741i | ||||
\(760\) | 13.2691 | + | 27.5535i | 0.0174593 | + | 0.0362547i | ||||
\(761\) | −380.683 | + | 477.361i | −0.500240 | + | 0.627282i | −0.966284 | − | 0.257480i | \(-0.917108\pi\) |
0.466043 | + | 0.884762i | \(0.345679\pi\) | |||||||
\(762\) | 654.598 | − | 1041.79i | 0.859052 | − | 1.36717i | ||||
\(763\) | −900.072 | + | 205.436i | −1.17965 | + | 0.269247i | ||||
\(764\) | 16.5686 | − | 147.050i | 0.0216866 | − | 0.192474i | ||||
\(765\) | 1553.24 | + | 2471.97i | 2.03038 | + | 3.23133i | ||||
\(766\) | 676.188 | + | 676.188i | 0.882752 | + | 0.882752i | ||||
\(767\) | 255.717 | + | 58.3658i | 0.333399 | + | 0.0760962i | ||||
\(768\) | −398.991 | + | 1140.25i | −0.519520 | + | 1.48470i | ||||
\(769\) | 61.7689 | + | 21.6139i | 0.0803237 | + | 0.0281065i | 0.370142 | − | 0.928975i | \(-0.379309\pi\) |
−0.289818 | + | 0.957082i | \(0.593595\pi\) | |||||||
\(770\) | 97.3979 | − | 426.728i | 0.126491 | − | 0.554192i | ||||
\(771\) | 248.939 | − | 248.939i | 0.322879 | − | 0.322879i | ||||
\(772\) | −233.049 | + | 146.434i | −0.301877 | + | 0.189682i | ||||
\(773\) | 199.336 | + | 22.4598i | 0.257873 | + | 0.0290554i | 0.239955 | − | 0.970784i | \(-0.422867\pi\) |
0.0179188 | + | 0.999839i | \(0.494296\pi\) | |||||||
\(774\) | 74.6646 | + | 327.127i | 0.0964659 | + | 0.422645i | ||||
\(775\) | −231.697 | − | 145.585i | −0.298964 | − | 0.187851i | ||||
\(776\) | −4.80119 | − | 3.82882i | −0.00618709 | − | 0.00493404i | ||||
\(777\) | 184.237 | − | 88.7237i | 0.237113 | − | 0.114187i | ||||
\(778\) | −170.689 | − | 82.1996i | −0.219395 | − | 0.105655i | ||||
\(779\) | 6.10866 | + | 7.66001i | 0.00784167 | + | 0.00983314i | ||||
\(780\) | −647.303 | + | 72.9335i | −0.829876 | + | 0.0935045i | ||||
\(781\) | −9.93780 | − | 28.4006i | −0.0127245 | − | 0.0363644i | ||||
\(782\) | − | 1709.90i | − | 2.18657i | ||||||
\(783\) | −847.611 | − | 324.698i | −1.08252 | − | 0.414685i | ||||
\(784\) | −436.483 | −0.556739 | ||||||||
\(785\) | −884.027 | + | 309.334i | −1.12615 | + | 0.394057i | ||||
\(786\) | −20.5515 | − | 182.399i | −0.0261469 | − | 0.232060i | ||||
\(787\) | −350.315 | + | 279.367i | −0.445126 | + | 0.354977i | −0.820257 | − | 0.571996i | \(-0.806169\pi\) |
0.375130 | + | 0.926972i | \(0.377598\pi\) | |||||||
\(788\) | 32.2989 | − | 67.0694i | 0.0409885 | − | 0.0851135i | ||||
\(789\) | −499.755 | − | 1037.75i | −0.633403 | − | 1.31528i | ||||
\(790\) | −776.137 | + | 973.245i | −0.982452 | + | 1.23196i | ||||
\(791\) | −39.1822 | + | 62.3582i | −0.0495351 | + | 0.0788346i | ||||
\(792\) | −531.501 | + | 121.312i | −0.671087 | + | 0.153171i | ||||
\(793\) | −103.512 | + | 918.694i | −0.130532 | + | 1.15850i | ||||
\(794\) | −125.715 | − | 200.074i | −0.158331 | − | 0.251983i | ||||
\(795\) | −1125.62 | − | 1125.62i | −1.41588 | − | 1.41588i | ||||
\(796\) | 0.723914 | + | 0.165229i | 0.000909439 | + | 0.000207574i | ||||
\(797\) | 217.496 | − | 621.567i | 0.272893 | − | 0.779883i | −0.723124 | − | 0.690718i | \(-0.757294\pi\) |
0.996017 | − | 0.0891649i | \(-0.0284198\pi\) | |||||||
\(798\) | 47.2961 | + | 16.5496i | 0.0592683 | + | 0.0207389i | ||||
\(799\) | −181.456 | + | 795.010i | −0.227104 | + | 0.995006i | ||||
\(800\) | −188.355 | + | 188.355i | −0.235444 | + | 0.235444i | ||||
\(801\) | 1899.96 | − | 1193.83i | 2.37199 | − | 1.49042i | ||||
\(802\) | −277.740 | − | 31.2938i | −0.346309 | − | 0.0390197i | ||||
\(803\) | −74.4452 | − | 326.166i | −0.0927088 | − | 0.406184i | ||||
\(804\) | 161.613 | + | 101.548i | 0.201011 | + | 0.126303i | ||||
\(805\) | −578.843 | − | 461.612i | −0.719060 | − | 0.573431i | ||||
\(806\) | −715.941 | + | 344.779i | −0.888264 | + | 0.427765i | ||||
\(807\) | 1476.65 | + | 711.118i | 1.82980 | + | 0.881187i | ||||
\(808\) | −495.005 | − | 620.716i | −0.612630 | − | 0.768213i | ||||
\(809\) | 181.264 | − | 20.4235i | 0.224059 | − | 0.0252454i | 0.000778885 | − | 1.00000i | \(-0.499752\pi\) |
0.223280 | + | 0.974754i | \(0.428324\pi\) | |||||||
\(810\) | 76.6348 | + | 219.010i | 0.0946108 | + | 0.270382i | ||||
\(811\) | 657.923i | 0.811249i | 0.914040 | + | 0.405625i | \(0.132946\pi\) | ||||
−0.914040 | + | 0.405625i | \(0.867054\pi\) | |||||||
\(812\) | −165.001 | − | 139.665i | −0.203203 | − | 0.172001i | ||||
\(813\) | −642.309 | −0.790048 | ||||||||
\(814\) | −104.793 | + | 36.6685i | −0.128738 | + | 0.0450473i | ||||
\(815\) | 156.868 | + | 1392.24i | 0.192476 | + | 1.70827i | ||||
\(816\) | 2372.25 | − | 1891.80i | 2.90716 | − | 2.31839i | ||||
\(817\) | 3.42043 | − | 7.10260i | 0.00418657 | − | 0.00869351i | ||||
\(818\) | 380.437 | + | 789.985i | 0.465081 | + | 0.965752i | ||||
\(819\) | 746.303 | − | 935.834i | 0.911236 | − | 1.14265i | ||||
\(820\) | −54.3475 | + | 86.4935i | −0.0662774 | + | 0.105480i | ||||
\(821\) | −805.317 | + | 183.808i | −0.980897 | + | 0.223883i | −0.682763 | − | 0.730640i | \(-0.739222\pi\) |
−0.298135 | + | 0.954524i | \(0.596365\pi\) | |||||||
\(822\) | 182.949 | − | 1623.72i | 0.222566 | − | 1.97533i | ||||
\(823\) | −477.203 | − | 759.464i | −0.579833 | − | 0.922799i | −0.999883 | − | 0.0152980i | \(-0.995130\pi\) |
0.420050 | − | 0.907501i | \(-0.362013\pi\) | |||||||
\(824\) | −29.4835 | − | 29.4835i | −0.0357809 | − | 0.0357809i | ||||
\(825\) | −346.157 | − | 79.0080i | −0.419584 | − | 0.0957672i | ||||
\(826\) | 69.4790 | − | 198.560i | 0.0841151 | − | 0.240387i | ||||
\(827\) | −768.394 | − | 268.873i | −0.929135 | − | 0.325118i | −0.177063 | − | 0.984200i | \(-0.556660\pi\) |
−0.752072 | + | 0.659081i | \(0.770945\pi\) | |||||||
\(828\) | 115.323 | − | 505.263i | 0.139279 | − | 0.610221i | ||||
\(829\) | 242.583 | − | 242.583i | 0.292621 | − | 0.292621i | −0.545494 | − | 0.838115i | \(-0.683658\pi\) |
0.838115 | + | 0.545494i | \(0.183658\pi\) | |||||||
\(830\) | 933.525 | − | 586.573i | 1.12473 | − | 0.706714i | ||||
\(831\) | −232.109 | − | 26.1524i | −0.279313 | − | 0.0314710i | ||||
\(832\) | −91.7762 | − | 402.098i | −0.110308 | − | 0.483291i | ||||
\(833\) | 586.503 | + | 368.524i | 0.704085 | + | 0.442406i | ||||
\(834\) | 1987.21 | + | 1584.75i | 2.38275 | + | 1.90018i | ||||
\(835\) | −677.061 | + | 326.055i | −0.810852 | + | 0.390486i | ||||
\(836\) | −6.48558 | − | 3.12329i | −0.00775787 | − | 0.00373599i | ||||
\(837\) | 441.460 | + | 553.574i | 0.527432 | + | 0.661379i | ||||
\(838\) | 549.892 | − | 61.9579i | 0.656196 | − | 0.0739355i | ||||
\(839\) | −259.165 | − | 740.652i | −0.308898 | − | 0.882779i | −0.988770 | − | 0.149448i | \(-0.952250\pi\) |
0.679872 | − | 0.733331i | \(-0.262035\pi\) | |||||||
\(840\) | − | 929.584i | − | 1.10665i | ||||||
\(841\) | −138.913 | − | 829.448i | −0.165176 | − | 0.986264i | ||||
\(842\) | −296.715 | −0.352393 | ||||||||
\(843\) | 324.581 | − | 113.576i | 0.385031 | − | 0.134728i | ||||
\(844\) | −24.7358 | − | 219.536i | −0.0293078 | − | 0.260114i | ||||
\(845\) | 275.475 | − | 219.684i | 0.326006 | − | 0.259981i | ||||
\(846\) | −405.287 | + | 841.586i | −0.479062 | + | 0.994783i | ||||
\(847\) | 192.384 | + | 399.490i | 0.227136 | + | 0.471653i | ||||
\(848\) | −650.169 | + | 815.286i | −0.766708 | + | 0.961422i | ||||
\(849\) | 1444.07 | − | 2298.23i | 1.70091 | − | 2.70699i | ||||
\(850\) | 859.202 | − | 196.107i | 1.01083 | − | 0.230714i | ||||
\(851\) | −21.0263 | + | 186.613i | −0.0247077 | + | 0.219287i | ||||
\(852\) | 19.1074 | + | 30.4092i | 0.0224265 | + | 0.0356916i | ||||
\(853\) | 398.813 | + | 398.813i | 0.467542 | + | 0.467542i | 0.901117 | − | 0.433575i | \(-0.142748\pi\) |
−0.433575 | + | 0.901117i | \(0.642748\pi\) | |||||||
\(854\) | 722.883 | + | 164.993i | 0.846468 | + | 0.193201i | ||||
\(855\) | 25.9498 | − | 74.1602i | 0.0303506 | − | 0.0867371i | ||||
\(856\) | 379.179 | + | 132.680i | 0.442966 | + | 0.155000i | ||||
\(857\) | 234.380 | − | 1026.89i | 0.273489 | − | 1.19824i | −0.632373 | − | 0.774664i | \(-0.717919\pi\) |
0.905863 | − | 0.423572i | \(-0.139224\pi\) | |||||||
\(858\) | −729.078 | + | 729.078i | −0.849741 | + | 0.849741i | ||||
\(859\) | −1397.29 | + | 877.978i | −1.62665 | + | 1.02209i | −0.665376 | + | 0.746509i | \(0.731729\pi\) |
−0.961277 | + | 0.275585i | \(0.911129\pi\) | |||||||
\(860\) | 81.6758 | + | 9.20265i | 0.0949718 | + | 0.0107008i | ||||
\(861\) | −66.2686 | − | 290.342i | −0.0769671 | − | 0.337215i | ||||
\(862\) | −323.289 | − | 203.136i | −0.375045 | − | 0.235657i | ||||
\(863\) | −703.807 | − | 561.267i | −0.815535 | − | 0.650367i | 0.124205 | − | 0.992257i | \(-0.460362\pi\) |
−0.939740 | + | 0.341889i | \(0.888933\pi\) | |||||||
\(864\) | 620.993 | − | 299.054i | 0.718741 | − | 0.346128i | ||||
\(865\) | −177.390 | − | 85.4265i | −0.205075 | − | 0.0987589i | ||||
\(866\) | 129.311 | + | 162.151i | 0.149320 | + | 0.187241i | ||||
\(867\) | −3367.91 | + | 379.472i | −3.88455 | + | 0.437684i | ||||
\(868\) | 55.6953 | + | 159.168i | 0.0641651 | + | 0.183373i | ||||
\(869\) | 521.358i | 0.599952i | ||||||||
\(870\) | −1313.12 | + | 1551.33i | −1.50934 | + | 1.78314i | ||||
\(871\) | −404.846 | −0.464806 | ||||||||
\(872\) | 1004.80 | − | 351.594i | 1.15229 | − | 0.403205i | ||||
\(873\) | 1.76645 | + | 15.6777i | 0.00202342 | + | 0.0179584i | ||||
\(874\) | −35.9779 | + | 28.6914i | −0.0411647 | + | 0.0328277i | ||||
\(875\) | −176.622 | + | 366.759i | −0.201853 | + | 0.419153i | ||||
\(876\) | 173.258 | + | 359.774i | 0.197783 | + | 0.410701i | ||||
\(877\) | 944.016 | − | 1183.76i | 1.07641 | − | 1.34978i | 0.143514 | − | 0.989648i | \(-0.454160\pi\) |
0.932901 | − | 0.360133i | \(-0.117269\pi\) | |||||||
\(878\) | −599.414 | + | 953.962i | −0.682704 | + | 1.08652i | ||||
\(879\) | 1533.92 | − | 350.107i | 1.74507 | − | 0.398301i | ||||
\(880\) | −79.8639 | + | 708.812i | −0.0907544 | + | 0.805468i | ||||
\(881\) | −199.252 | − | 317.108i | −0.226166 | − | 0.359942i | 0.714294 | − | 0.699846i | \(-0.246748\pi\) |
−0.940460 | + | 0.339905i | \(0.889605\pi\) | |||||||
\(882\) | 561.051 | + | 561.051i | 0.636112 | + | 0.636112i | ||||
\(883\) | 89.8803 | + | 20.5146i | 0.101790 | + | 0.0232328i | 0.273112 | − | 0.961982i | \(-0.411947\pi\) |
−0.171323 | + | 0.985215i | \(0.554804\pi\) | |||||||
\(884\) | 223.655 | − | 639.168i | 0.253003 | − | 0.723041i | ||||
\(885\) | −493.962 | − | 172.845i | −0.558149 | − | 0.195305i | ||||
\(886\) | 32.7418 | − | 143.451i | 0.0369547 | − | 0.161909i | ||||
\(887\) | −511.932 | + | 511.932i | −0.577150 | + | 0.577150i | −0.934117 | − | 0.356967i | \(-0.883811\pi\) |
0.356967 | + | 0.934117i | \(0.383811\pi\) | |||||||
\(888\) | −199.648 | + | 125.447i | −0.224828 | + | 0.141269i | ||||
\(889\) | 550.332 | + | 62.0075i | 0.619046 | + | 0.0697497i | ||||
\(890\) | −462.250 | − | 2025.25i | −0.519382 | − | 2.27556i | ||||
\(891\) | 82.2837 | + | 51.7023i | 0.0923499 | + | 0.0580273i | ||||
\(892\) | −89.6095 | − | 71.4612i | −0.100459 | − | 0.0801134i | ||||
\(893\) | 19.7725 | − | 9.52194i | 0.0221417 | − | 0.0106629i | ||||
\(894\) | −1619.83 | − | 780.070i | −1.81189 | − | 0.872561i | ||||
\(895\) | 1021.07 | + | 1280.39i | 1.14087 | + | 1.43060i | ||||
\(896\) | −782.074 | + | 88.1186i | −0.872850 | + | 0.0983466i | ||||
\(897\) | 576.022 | + | 1646.18i | 0.642165 | + | 1.83520i | ||||
\(898\) | 1588.62i | 1.76907i | ||||||||
\(899\) | −234.681 | + | 612.625i | −0.261047 | + | 0.681452i | ||||
\(900\) | 267.114 | 0.296793 | ||||||||
\(901\) | 1561.98 | − | 546.561i | 1.73361 | − | 0.606616i | ||||
\(902\) | 18.1036 | + | 160.673i | 0.0200705 | + | 0.178130i | ||||
\(903\) | −187.345 | + | 149.402i | −0.207469 | + | 0.165451i | ||||
\(904\) | 36.8452 | − | 76.5098i | 0.0407580 | − | 0.0846348i | ||||
\(905\) | 281.460 | + | 584.457i | 0.311005 | + | 0.645809i | ||||
\(906\) | −1355.42 | + | 1699.64i | −1.49604 | + | 1.87598i | ||||
\(907\) | −351.881 | + | 560.016i | −0.387962 | + | 0.617437i | −0.982419 | − | 0.186690i | \(-0.940224\pi\) |
0.594457 | + | 0.804127i | \(0.297367\pi\) | |||||||
\(908\) | −590.637 | + | 134.809i | −0.650482 | + | 0.148468i | ||||
\(909\) | −228.373 | + | 2026.87i | −0.251236 | + | 2.22978i | ||||
\(910\) | −589.558 | − | 938.276i | −0.647866 | − | 1.03107i | ||||
\(911\) | 969.484 | + | 969.484i | 1.06420 | + | 1.06420i | 0.997793 | + | 0.0664049i | \(0.0211529\pi\) |
0.0664049 | + | 0.997793i | \(0.478847\pi\) | |||||||
\(912\) | −79.6107 | − | 18.1706i | −0.0872924 | − | 0.0199239i | ||||
\(913\) | 152.508 | − | 435.842i | 0.167040 | − | 0.477374i | ||||
\(914\) | 228.766 | + | 80.0488i | 0.250292 | + | 0.0875808i | ||||
\(915\) | 410.458 | − | 1798.34i | 0.448589 | − | 1.96539i | ||||
\(916\) | −200.838 | + | 200.838i | −0.219255 | + | 0.219255i | ||||
\(917\) | 69.9571 | − | 43.9569i | 0.0762891 | − | 0.0479356i | ||||
\(918\) | −2266.04 | − | 255.321i | −2.46845 | − | 0.278128i | ||||
\(919\) | −107.866 | − | 472.593i | −0.117374 | − | 0.514247i | −0.999097 | − | 0.0424811i | \(-0.986474\pi\) |
0.881724 | − | 0.471766i | \(-0.156383\pi\) | |||||||
\(920\) | 722.846 | + | 454.195i | 0.785703 | + | 0.493690i | ||||
\(921\) | −1974.64 | − | 1574.73i | −2.14402 | − | 1.70980i | ||||
\(922\) | −606.385 | + | 292.019i | −0.657684 | + | 0.316724i | ||||
\(923\) | −68.6324 | − | 33.0516i | −0.0743580 | − | 0.0358089i | ||||
\(924\) | 136.423 | + | 171.070i | 0.147644 | + | 0.185140i | ||||
\(925\) | −96.1822 | + | 10.8371i | −0.103981 | + | 0.0117158i | ||||
\(926\) | 291.135 | + | 832.016i | 0.314401 | + | 0.898506i | ||||
\(927\) | 107.122i | 0.115558i | ||||||||
\(928\) | 530.573 | + | 355.426i | 0.571739 | + | 0.383002i | ||||
\(929\) | −500.880 | −0.539160 | −0.269580 | − | 0.962978i | \(-0.586885\pi\) | ||||
−0.269580 | + | 0.962978i | \(0.586885\pi\) | |||||||
\(930\) | 1496.49 | − | 523.644i | 1.60913 | − | 0.563058i | ||||
\(931\) | −2.08718 | − | 18.5243i | −0.00224187 | − | 0.0198972i | ||||
\(932\) | 137.297 | − | 109.491i | 0.147314 | − | 0.117479i | ||||
\(933\) | 1036.01 | − | 2151.29i | 1.11040 | − | 2.30578i | ||||
\(934\) | 811.093 | + | 1684.25i | 0.868408 | + | 1.80327i | ||||
\(935\) | 705.765 | − | 885.002i | 0.754829 | − | 0.946526i | ||||
\(936\) | −734.310 | + | 1168.65i | −0.784520 | + | 1.24856i | ||||
\(937\) | −125.487 | + | 28.6417i | −0.133925 | + | 0.0305674i | −0.288958 | − | 0.957342i | \(-0.593309\pi\) |
0.155033 | + | 0.987909i | \(0.450452\pi\) | |||||||
\(938\) | −36.3542 | + | 322.653i | −0.0387572 | + | 0.343980i | ||||
\(939\) | −806.298 | − | 1283.22i | −0.858678 | − | 1.36658i | ||||
\(940\) | 161.794 | + | 161.794i | 0.172121 | + | 0.172121i | ||||
\(941\) | 1671.51 | + | 381.511i | 1.77631 | + | 0.405431i | 0.979926 | − | 0.199360i | \(-0.0638863\pi\) |
0.796384 | + | 0.604791i | \(0.206743\pi\) | |||||||
\(942\) | 584.418 | − | 1670.17i | 0.620402 | − | 1.77301i | ||||
\(943\) | 258.149 | + | 90.3304i | 0.273753 | + | 0.0957904i | ||||
\(944\) | −76.2843 | + | 334.223i | −0.0808097 | + | 0.354050i | ||||
\(945\) | −698.183 | + | 698.183i | −0.738818 | + | 0.738818i | ||||
\(946\) | 110.158 | − | 69.2169i | 0.116446 | − | 0.0731680i | ||||
\(947\) | 178.516 | + | 20.1139i | 0.188506 | + | 0.0212396i | 0.205713 | − | 0.978612i | \(-0.434049\pi\) |
−0.0172065 | + | 0.999852i | \(0.505477\pi\) | |||||||
\(948\) | −138.472 | − | 606.684i | −0.146067 | − | 0.639962i | ||||
\(949\) | −717.163 | − | 450.624i | −0.755704 | − | 0.474840i | ||||
\(950\) | −18.5433 | − | 14.7878i | −0.0195193 | − | 0.0155661i | ||||
\(951\) | 2485.43 | − | 1196.92i | 2.61349 | − | 1.25859i | ||||
\(952\) | 870.659 | + | 419.287i | 0.914558 | + | 0.440428i | ||||
\(953\) | −540.058 | − | 677.211i | −0.566692 | − | 0.710610i | 0.413087 | − | 0.910692i | \(-0.364451\pi\) |
−0.979779 | + | 0.200082i | \(0.935879\pi\) | |||||||
\(954\) | 1883.68 | − | 212.240i | 1.97451 | − | 0.222473i | ||||
\(955\) | −206.838 | − | 591.108i | −0.216584 | − | 0.618962i | ||||
\(956\) | − | 441.569i | − | 0.461892i | ||||||
\(957\) | −24.8796 | + | 850.872i | −0.0259974 | + | 0.889104i | ||||
\(958\) | 970.484 | 1.01303 | ||||||||
\(959\) | 694.218 | − | 242.917i | 0.723898 | − | 0.253303i | ||||
\(960\) | 92.1356 | + | 817.726i | 0.0959746 | + | 0.851798i | ||||
\(961\) | −351.235 | + | 280.101i | −0.365489 | + | 0.291468i | ||||
\(962\) | −121.954 | + | 253.240i | −0.126771 | + | 0.263243i | ||||
\(963\) | −447.800 | − | 929.866i | −0.465005 | − | 0.965593i | ||||
\(964\) | −123.291 | + | 154.603i | −0.127896 | + | 0.160376i | ||||
\(965\) | −619.709 | + | 986.260i | −0.642185 | + | 1.02203i | ||||
\(966\) | 1363.69 | − | 311.254i | 1.41169 | − | 0.322209i | ||||
\(967\) | −32.1854 | + | 285.653i | −0.0332837 | + | 0.295401i | 0.966032 | + | 0.258421i | \(0.0832023\pi\) |
−0.999316 | + | 0.0369798i | \(0.988226\pi\) | |||||||
\(968\) | −272.013 | − | 432.907i | −0.281006 | − | 0.447218i | ||||
\(969\) | 91.6314 | + | 91.6314i | 0.0945629 | + | 0.0945629i | ||||
\(970\) | 14.2395 | + | 3.25008i | 0.0146799 | + | 0.00335060i | ||||
\(971\) | −314.882 | + | 899.881i | −0.324286 | + | 0.926757i | 0.660168 | + | 0.751118i | \(0.270485\pi\) |
−0.984455 | + | 0.175639i | \(0.943801\pi\) | |||||||
\(972\) | 273.178 | + | 95.5890i | 0.281047 | + | 0.0983426i | ||||
\(973\) | −254.583 | + | 1115.40i | −0.261647 | + | 1.14635i | ||||
\(974\) | 1175.15 | − | 1175.15i | 1.20652 | − | 1.20652i | ||||
\(975\) | −761.119 | + | 478.243i | −0.780635 | + | 0.490505i | ||||
\(976\) | −1200.74 | − | 135.291i | −1.23026 | − | 0.138617i | ||||
\(977\) | 7.07897 | + | 31.0150i | 0.00724562 | + | 0.0317451i | 0.978422 | − | 0.206619i | \(-0.0662460\pi\) |
−0.971176 | + | 0.238364i | \(0.923389\pi\) | |||||||
\(978\) | −2241.26 | − | 1408.27i | −2.29167 | − | 1.43995i | ||||
\(979\) | −680.215 | − | 542.454i | −0.694806 | − | 0.554090i | ||||
\(980\) | 175.112 | − | 84.3295i | 0.178686 | − | 0.0860505i | ||||
\(981\) | −2464.09 | − | 1186.64i | −2.51181 | − | 1.20962i | ||||
\(982\) | 70.7842 | + | 88.7606i | 0.0720817 | + | 0.0903875i | ||||
\(983\) | 336.563 | − | 37.9215i | 0.342383 | − | 0.0385773i | 0.0609010 | − | 0.998144i | \(-0.480603\pi\) |
0.281482 | + | 0.959567i | \(0.409174\pi\) | |||||||
\(984\) | 113.416 | + | 324.124i | 0.115260 | + | 0.329395i | ||||
\(985\) | − | 315.035i | − | 0.319833i | ||||||
\(986\) | −860.709 | − | 1929.61i | −0.872931 | − | 1.95701i | ||||
\(987\) | −667.072 | −0.675859 | ||||||||
\(988\) | −17.2015 | + | 6.01908i | −0.0174105 | + | 0.00609219i | ||||
\(989\) | −24.6391 | − | 218.678i | −0.0249131 | − | 0.221110i | ||||
\(990\) | 1013.75 | − | 808.443i | 1.02399 | − | 0.816609i | ||||
\(991\) | −325.849 | + | 676.633i | −0.328809 | + | 0.682778i | −0.998190 | − | 0.0601410i | \(-0.980845\pi\) |
0.669381 | + | 0.742919i | \(0.266559\pi\) | |||||||
\(992\) | −216.147 | − | 448.833i | −0.217890 | − | 0.452452i | ||||
\(993\) | −1820.92 | + | 2283.37i | −1.83376 | + | 2.29946i | ||||
\(994\) | −32.5044 | + | 51.7305i | −0.0327006 | + | 0.0520428i | ||||
\(995\) | 3.06359 | − | 0.699245i | 0.00307899 | − | 0.000702759i | ||||
\(996\) | −61.7085 | + | 547.678i | −0.0619564 | + | 0.549878i | ||||
\(997\) | 41.4061 | + | 65.8975i | 0.0415307 | + | 0.0660957i | 0.866844 | − | 0.498579i | \(-0.166145\pi\) |
−0.825314 | + | 0.564675i | \(0.809002\pi\) | |||||||
\(998\) | −1279.36 | − | 1279.36i | −1.28193 | − | 1.28193i | ||||
\(999\) | 244.169 | + | 55.7300i | 0.244413 | + | 0.0557858i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 29.3.f.a.11.2 | yes | 48 | |
3.2 | odd | 2 | 261.3.s.a.127.3 | 48 | |||
29.8 | odd | 28 | inner | 29.3.f.a.8.2 | ✓ | 48 | |
87.8 | even | 28 | 261.3.s.a.37.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.8.2 | ✓ | 48 | 29.8 | odd | 28 | inner | |
29.3.f.a.11.2 | yes | 48 | 1.1 | even | 1 | trivial | |
261.3.s.a.37.3 | 48 | 87.8 | even | 28 | |||
261.3.s.a.127.3 | 48 | 3.2 | odd | 2 |