Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [261,3,Mod(10,261)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(261, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("261.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 261 = 3^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 261.s (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: | \(7.11173489980\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 261.37 |
Dual form | 261.3.s.a.127.3 |
$q$-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 \(\left(\mathbb{Z}/261\mathbb{Z}\right)^\times\).
\(n\) | \(118\) | \(146\) |
\(\chi(n)\) | \(e\left(\frac{3}{28}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.20133 | + | 0.770280i | 1.10067 | + | 0.385140i | 0.818663 | − | 0.574274i | \(-0.194715\pi\) |
0.282003 | + | 0.959414i | \(0.409001\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.12521 | + | 0.897324i | 0.281302 | + | 0.224331i | ||||
\(5\) | −2.64264 | − | 5.48750i | −0.528528 | − | 1.09750i | −0.978840 | − | 0.204628i | \(-0.934401\pi\) |
0.450312 | − | 0.892871i | \(-0.351313\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.22936 | − | 4.04949i | −0.461337 | − | 0.578499i | 0.495689 | − | 0.868500i | \(-0.334916\pi\) |
−0.957026 | + | 0.290001i | \(0.906344\pi\) | |||||||
\(8\) | −3.17747 | − | 5.05691i | −0.397184 | − | 0.632114i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.59042 | − | 14.1154i | −0.159042 | − | 1.41154i | ||||
\(11\) | −3.16517 | + | 5.03734i | −0.287743 | + | 0.457940i | −0.959049 | − | 0.283240i | \(-0.908591\pi\) |
0.671306 | + | 0.741180i | \(0.265734\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 14.6839 | − | 3.35151i | 1.12953 | − | 0.257808i | 0.383385 | − | 0.923589i | \(-0.374758\pi\) |
0.746148 | + | 0.665780i | \(0.231901\pi\) | |||||||
\(14\) | −3.98966 | − | 11.4018i | −0.284976 | − | 0.814414i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.38044 | − | 19.1919i | −0.273777 | − | 1.19950i | ||||
\(17\) | −22.0898 | − | 22.0898i | −1.29940 | − | 1.29940i | −0.928787 | − | 0.370615i | \(-0.879147\pi\) |
−0.370615 | − | 0.928787i | \(-0.620853\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.835449 | + | 0.0941325i | −0.0439710 | + | 0.00495434i | −0.133923 | − | 0.990992i | \(-0.542757\pi\) |
0.0899516 | + | 0.995946i | \(0.471329\pi\) | |||||||
\(20\) | 1.95054 | − | 8.54589i | 0.0975272 | − | 0.427294i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −10.8478 | + | 8.65079i | −0.493080 | + | 0.393218i | ||||
\(23\) | 21.1449 | + | 10.1828i | 0.919344 | + | 0.442733i | 0.832837 | − | 0.553519i | \(-0.186715\pi\) |
0.0865068 | + | 0.996251i | \(0.472430\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.54184 | + | 9.45717i | −0.301674 | + | 0.378287i | ||||
\(26\) | 34.9058 | + | 3.93294i | 1.34253 | + | 0.151267i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | − | 7.45431i | − | 0.266225i | ||||||
\(29\) | 18.7362 | + | 22.1350i | 0.646074 | + | 0.763274i | ||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 21.3525 | + | 7.47156i | 0.688790 | + | 0.241018i | 0.651904 | − | 0.758301i | \(-0.273970\pi\) |
0.0368860 | + | 0.999319i | \(0.488256\pi\) | |||||||
\(32\) | 2.46561 | − | 21.8829i | 0.0770504 | − | 0.683841i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −31.6117 | − | 65.6424i | −0.929756 | − | 1.93066i | ||||
\(35\) | −13.6875 | + | 28.4225i | −0.391073 | + | 0.812070i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.25720 | + | 6.77529i | 0.115059 | + | 0.183116i | 0.899289 | − | 0.437355i | \(-0.144085\pi\) |
−0.784230 | + | 0.620470i | \(0.786942\pi\) | |||||||
\(38\) | −1.91161 | − | 0.436313i | −0.0503055 | − | 0.0114819i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −19.3529 | + | 30.8000i | −0.483822 | + | 0.769999i | ||||
\(41\) | 8.24028 | − | 8.24028i | 0.200982 | − | 0.200982i | −0.599438 | − | 0.800421i | \(-0.704609\pi\) |
0.800421 | + | 0.599438i | \(0.204609\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.09691 | − | 8.85047i | −0.0720212 | − | 0.205825i | 0.902246 | − | 0.431222i | \(-0.141918\pi\) |
−0.974267 | + | 0.225398i | \(0.927632\pi\) | |||||||
\(44\) | −8.08161 | + | 2.82788i | −0.183673 | + | 0.0642699i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 38.7033 | + | 38.7033i | 0.841377 | + | 0.841377i | ||||
\(47\) | 22.1022 | + | 13.8877i | 0.470259 | + | 0.295483i | 0.746237 | − | 0.665681i | \(-0.231859\pi\) |
−0.275978 | + | 0.961164i | \(0.589002\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.93392 | − | 21.6169i | 0.100692 | − | 0.441162i | ||||
\(50\) | −23.8868 | + | 15.0091i | −0.477735 | + | 0.300181i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 19.5299 | + | 9.40509i | 0.375574 | + | 0.180867i | ||||
\(53\) | −47.7265 | + | 22.9839i | −0.900501 | + | 0.433658i | −0.826070 | − | 0.563568i | \(-0.809428\pi\) |
−0.0744311 | + | 0.997226i | \(0.523714\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 36.0068 | + | 4.05699i | 0.654669 | + | 0.0737635i | ||||
\(56\) | −10.2167 | + | 29.1977i | −0.182442 | + | 0.521388i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 24.1944 | + | 63.1585i | 0.417145 | + | 1.08894i | ||||
\(59\) | −17.4148 | −0.295166 | −0.147583 | − | 0.989050i | \(-0.547149\pi\) | ||||
−0.147583 | + | 0.989050i | \(0.547149\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.87260 | − | 60.9960i | 0.112666 | − | 0.999935i | −0.802443 | − | 0.596728i | \(-0.796467\pi\) |
0.915109 | − | 0.403207i | \(-0.132104\pi\) | |||||||
\(62\) | 41.2488 | + | 32.8948i | 0.665303 | + | 0.530561i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −11.8813 | + | 24.6717i | −0.185645 | + | 0.385496i | ||||
\(65\) | −57.1957 | − | 71.7211i | −0.879934 | − | 1.10340i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −26.2055 | − | 5.98124i | −0.391127 | − | 0.0892722i | 0.0224346 | − | 0.999748i | \(-0.492858\pi\) |
−0.413562 | + | 0.910476i | \(0.635715\pi\) | |||||||
\(68\) | −5.03393 | − | 44.6774i | −0.0740285 | − | 0.657021i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −52.0241 | + | 52.0241i | −0.743201 | + | 0.743201i | ||||
\(71\) | 4.93086 | − | 1.12544i | 0.0694487 | − | 0.0158512i | −0.187655 | − | 0.982235i | \(-0.560089\pi\) |
0.257104 | + | 0.966384i | \(0.417232\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −53.0793 | + | 18.5732i | −0.727113 | + | 0.254428i | −0.668353 | − | 0.743844i | \(-0.733000\pi\) |
−0.0587602 | + | 0.998272i | \(0.518715\pi\) | |||||||
\(74\) | 4.15264 | + | 18.1939i | 0.0561167 | + | 0.245863i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.02452 | − | 0.643750i | −0.0134806 | − | 0.00847040i | ||||
\(77\) | 30.6201 | − | 3.45006i | 0.397664 | − | 0.0448060i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 74.2026 | − | 46.6246i | 0.939274 | − | 0.590185i | 0.0269421 | − | 0.999637i | \(-0.491423\pi\) |
0.912332 | + | 0.409452i | \(0.134280\pi\) | |||||||
\(80\) | −93.7398 | + | 74.7550i | −1.17175 | + | 0.934438i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 24.4869 | − | 11.7923i | 0.298621 | − | 0.143808i | ||||
\(83\) | 48.3929 | − | 60.6827i | 0.583047 | − | 0.731117i | −0.399583 | − | 0.916697i | \(-0.630845\pi\) |
0.982629 | + | 0.185580i | \(0.0594164\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −62.8424 | + | 179.593i | −0.739322 | + | 2.11286i | ||||
\(86\) | − | 21.8683i | − | 0.254283i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 35.5306 | 0.403757 | ||||||||
\(89\) | 138.036 | + | 48.3009i | 1.55097 | + | 0.542707i | 0.963769 | − | 0.266737i | \(-0.0859455\pi\) |
0.587197 | + | 0.809444i | \(0.300231\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −60.9916 | − | 48.6392i | −0.670237 | − | 0.534497i | ||||
\(92\) | 14.6551 | + | 30.4317i | 0.159295 | + | 0.330779i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 37.9568 | + | 47.5963i | 0.403796 | + | 0.506344i | ||||
\(95\) | 2.72434 | + | 4.33577i | 0.0286773 | + | 0.0456397i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.115126 | + | 1.02177i | 0.00118686 | + | 0.0105337i | 0.994292 | − | 0.106696i | \(-0.0340272\pi\) |
−0.993105 | + | 0.117230i | \(0.962599\pi\) | |||||||
\(98\) | 27.5123 | − | 43.7855i | 0.280737 | − | 0.446791i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −16.9723 | + | 3.87382i | −0.169723 | + | 0.0387382i | ||||
\(101\) | −43.9053 | − | 125.474i | −0.434706 | − | 1.24232i | −0.928040 | − | 0.372479i | \(-0.878508\pi\) |
0.493334 | − | 0.869840i | \(-0.335778\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.55354 | + | 6.80648i | 0.0150829 | + | 0.0660824i | 0.981909 | − | 0.189352i | \(-0.0606387\pi\) |
−0.966826 | + | 0.255434i | \(0.917782\pi\) | |||||||
\(104\) | −63.6060 | − | 63.6060i | −0.611596 | − | 0.611596i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −122.766 | + | 13.8324i | −1.15817 | + | 0.130494i | ||||
\(107\) | −14.9676 | + | 65.5774i | −0.139884 | + | 0.612873i | 0.855574 | + | 0.517680i | \(0.173204\pi\) |
−0.995459 | + | 0.0951935i | \(0.969653\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 139.358 | − | 111.134i | 1.27851 | − | 1.01958i | 0.280291 | − | 0.959915i | \(-0.409569\pi\) |
0.998219 | − | 0.0596621i | \(-0.0190023\pi\) | |||||||
\(110\) | 76.1379 | + | 36.6661i | 0.692163 | + | 0.333328i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −63.5716 | + | 79.7163i | −0.567604 | + | 0.711752i | ||||
\(113\) | −14.1294 | − | 1.59200i | −0.125039 | − | 0.0140885i | 0.0492231 | − | 0.998788i | \(-0.484325\pi\) |
−0.174262 | + | 0.984699i | \(0.555754\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 142.942i | − | 1.24298i | ||||||
\(116\) | 1.21986 | + | 41.7189i | 0.0105161 | + | 0.359645i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −38.3357 | − | 13.4143i | −0.324879 | − | 0.113680i | ||||
\(119\) | −18.1165 | + | 160.789i | −0.152240 | + | 1.35116i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 37.1435 | + | 77.1292i | 0.306971 | + | 0.637431i | ||||
\(122\) | 62.1129 | − | 128.979i | 0.509122 | − | 1.05720i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 17.3216 | + | 27.5672i | 0.139690 | + | 0.222316i | ||||
\(125\) | −76.6224 | − | 17.4886i | −0.612979 | − | 0.139908i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −56.8872 | + | 90.5354i | −0.447931 | + | 0.712877i | −0.992010 | − | 0.126156i | \(-0.959736\pi\) |
0.544080 | + | 0.839033i | \(0.316879\pi\) | |||||||
\(128\) | −107.445 | + | 107.445i | −0.839411 | + | 0.839411i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −70.6614 | − | 201.939i | −0.543550 | − | 1.55338i | ||||
\(131\) | 15.0564 | − | 5.26846i | 0.114934 | − | 0.0402172i | −0.272199 | − | 0.962241i | \(-0.587751\pi\) |
0.387133 | + | 0.922024i | \(0.373465\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.07916 | + | 3.07916i | 0.0231516 | + | 0.0231516i | ||||
\(134\) | −53.0798 | − | 33.3523i | −0.396118 | − | 0.248897i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −41.5166 | + | 181.896i | −0.305269 | + | 1.33747i | ||||
\(137\) | 120.235 | − | 75.5488i | 0.877630 | − | 0.551451i | −0.0161943 | − | 0.999869i | \(-0.505155\pi\) |
0.893824 | + | 0.448417i | \(0.148012\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 199.013 | + | 95.8394i | 1.43174 | + | 0.689492i | 0.979321 | − | 0.202311i | \(-0.0648453\pi\) |
0.452423 | + | 0.891803i | \(0.350560\pi\) | |||||||
\(140\) | −40.9055 | + | 19.6991i | −0.292182 | + | 0.140708i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 11.7214 | + | 1.32068i | 0.0825448 | + | 0.00930057i | ||||
\(143\) | −29.5944 | + | 84.5760i | −0.206954 | + | 0.591440i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 71.9526 | − | 161.309i | 0.496225 | − | 1.11248i | ||||
\(146\) | −131.152 | −0.898299 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.28940 | + | 11.4437i | −0.00871213 | + | 0.0773223i | ||||
\(149\) | 122.156 | + | 97.4158i | 0.819836 | + | 0.653797i | 0.940839 | − | 0.338855i | \(-0.110040\pi\) |
−0.121003 | + | 0.992652i | \(0.538611\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 81.9702 | − | 170.213i | 0.542849 | − | 1.12724i | −0.431483 | − | 0.902121i | \(-0.642009\pi\) |
0.974332 | − | 0.225117i | \(-0.0722764\pi\) | |||||||
\(152\) | 3.13064 | + | 3.92569i | 0.0205963 | + | 0.0258269i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 70.0626 | + | 15.9913i | 0.454952 | + | 0.103840i | ||||
\(155\) | −15.4268 | − | 136.916i | −0.0995276 | − | 0.883332i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −108.735 | + | 108.735i | −0.692577 | + | 0.692577i | −0.962798 | − | 0.270221i | \(-0.912903\pi\) |
0.270221 | + | 0.962798i | \(0.412903\pi\) | |||||||
\(158\) | 199.259 | − | 45.4795i | 1.26113 | − | 0.287845i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −126.598 | + | 44.2986i | −0.791239 | + | 0.276866i | ||||
\(161\) | −27.0492 | − | 118.510i | −0.168007 | − | 0.736088i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −194.774 | − | 122.385i | −1.19493 | − | 0.750826i | −0.220474 | − | 0.975393i | \(-0.570760\pi\) |
−0.974459 | + | 0.224567i | \(0.927903\pi\) | |||||||
\(164\) | 16.6662 | − | 1.87783i | 0.101623 | − | 0.0114502i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 153.271 | − | 96.3068i | 0.923322 | − | 0.580162i | ||||
\(167\) | 96.4643 | − | 76.9277i | 0.577631 | − | 0.460645i | −0.290573 | − | 0.956853i | \(-0.593846\pi\) |
0.868204 | + | 0.496208i | \(0.165275\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 52.1212 | − | 25.1002i | 0.308409 | − | 0.148522i | ||||
\(170\) | −276.674 | + | 346.938i | −1.62749 | + | 2.04081i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.45707 | − | 12.7376i | 0.0259132 | − | 0.0740556i | ||||
\(173\) | − | 32.3262i | − | 0.186857i | −0.995626 | − | 0.0934283i | \(-0.970217\pi\) | ||
0.995626 | − | 0.0934283i | \(-0.0297826\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 62.6521 | 0.358012 | ||||||||
\(176\) | 110.541 | + | 38.6800i | 0.628075 | + | 0.219773i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 266.658 | + | 212.653i | 1.49808 | + | 1.19468i | ||||
\(179\) | 116.664 | + | 242.255i | 0.651754 | + | 1.35338i | 0.920717 | + | 0.390231i | \(0.127605\pi\) |
−0.268963 | + | 0.963151i | \(0.586681\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −66.4061 | − | 83.2706i | −0.366884 | − | 0.460058i | 0.563784 | − | 0.825922i | \(-0.309345\pi\) |
−0.930668 | + | 0.365864i | \(0.880774\pi\) | |||||||
\(182\) | −96.7970 | − | 154.052i | −0.531852 | − | 0.846437i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −15.6935 | − | 139.284i | −0.0852908 | − | 0.756976i | ||||
\(185\) | 25.9291 | − | 41.2660i | 0.140158 | − | 0.223059i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 181.192 | − | 41.3559i | 0.968941 | − | 0.221154i | ||||
\(188\) | 12.4078 | + | 35.4594i | 0.0659988 | + | 0.188614i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.65743 | + | 11.6430i | 0.0139865 | + | 0.0612788i | ||||
\(191\) | −72.7058 | − | 72.7058i | −0.380659 | − | 0.380659i | 0.490681 | − | 0.871339i | \(-0.336748\pi\) |
−0.871339 | + | 0.490681i | \(0.836748\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −190.040 | + | 21.4124i | −0.984665 | + | 0.110945i | −0.589589 | − | 0.807703i | \(-0.700710\pi\) |
−0.395076 | + | 0.918649i | \(0.629282\pi\) | |||||||
\(194\) | −0.533617 | + | 2.33793i | −0.00275061 | + | 0.0120512i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 24.9491 | − | 19.8962i | 0.127291 | − | 0.101511i | ||||
\(197\) | −46.6020 | − | 22.4423i | −0.236558 | − | 0.113920i | 0.311849 | − | 0.950132i | \(-0.399052\pi\) |
−0.548408 | + | 0.836211i | \(0.684766\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.321680 | − | 0.403373i | 0.00161648 | − | 0.00202700i | −0.781023 | − | 0.624503i | \(-0.785302\pi\) |
0.782639 | + | 0.622476i | \(0.213873\pi\) | |||||||
\(200\) | 71.7881 | + | 8.08857i | 0.358940 | + | 0.0404429i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | − | 310.030i | − | 1.53480i | ||||||
\(203\) | 29.1295 | − | 147.354i | 0.143495 | − | 0.725880i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −66.9946 | − | 23.4424i | −0.326803 | − | 0.114353i | ||||
\(206\) | −1.82305 | + | 16.1800i | −0.00884974 | + | 0.0785437i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −128.644 | − | 267.132i | −0.618480 | − | 1.28429i | ||||
\(209\) | 2.17016 | − | 4.50639i | 0.0103835 | − | 0.0215617i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 81.6700 | + | 129.977i | 0.387062 | + | 0.616005i | 0.982249 | − | 0.187582i | \(-0.0600650\pi\) |
−0.595187 | + | 0.803587i | \(0.702922\pi\) | |||||||
\(212\) | −74.3264 | − | 16.9645i | −0.350596 | − | 0.0800213i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −83.4617 | + | 132.829i | −0.390008 | + | 0.620694i | ||||
\(215\) | −40.3829 | + | 40.3829i | −0.187827 | + | 0.187827i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −38.6989 | − | 110.595i | −0.178336 | − | 0.509655i | ||||
\(218\) | 392.376 | − | 137.298i | 1.79989 | − | 0.629810i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 36.8747 | + | 36.8747i | 0.167612 | + | 0.167612i | ||||
\(221\) | −398.399 | − | 250.331i | −1.80271 | − | 1.13272i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.7211 | + | 77.6414i | −0.0794670 | + | 0.348168i | −0.998993 | − | 0.0448610i | \(-0.985716\pi\) |
0.919526 | + | 0.393029i | \(0.128573\pi\) | |||||||
\(224\) | −96.5770 | + | 60.6834i | −0.431148 | + | 0.270908i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −29.8773 | − | 14.3881i | −0.132200 | − | 0.0636643i | ||||
\(227\) | 379.261 | − | 182.642i | 1.67075 | − | 0.804592i | 0.672855 | − | 0.739774i | \(-0.265068\pi\) |
0.997897 | − | 0.0648180i | \(-0.0206467\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −196.110 | − | 22.0963i | −0.856378 | − | 0.0964906i | −0.327152 | − | 0.944972i | \(-0.606089\pi\) |
−0.529226 | + | 0.848481i | \(0.677518\pi\) | |||||||
\(230\) | 110.105 | − | 314.663i | 0.478719 | − | 1.36810i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 52.4010 | − | 165.080i | 0.225866 | − | 0.711553i | ||||
\(233\) | −122.019 | −0.523687 | −0.261843 | − | 0.965110i | \(-0.584330\pi\) | ||||
−0.261843 | + | 0.965110i | \(0.584330\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 17.8007 | − | 157.986i | 0.0757477 | − | 0.672280i | ||||
\(236\) | −19.5953 | − | 15.6267i | −0.0830308 | − | 0.0662149i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −163.733 | + | 339.994i | −0.687952 | + | 1.42855i | ||||
\(239\) | −191.297 | − | 239.879i | −0.800405 | − | 1.00368i | −0.999718 | − | 0.0237404i | \(-0.992442\pi\) |
0.199313 | − | 0.979936i | \(-0.436129\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −133.954 | − | 30.5741i | −0.555826 | − | 0.126864i | −0.0646245 | − | 0.997910i | \(-0.520585\pi\) |
−0.491201 | + | 0.871046i | \(0.663442\pi\) | |||||||
\(242\) | 22.3541 | + | 198.398i | 0.0923722 | + | 0.819826i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 62.4663 | − | 62.4663i | 0.256010 | − | 0.256010i | ||||
\(245\) | −131.661 | + | 30.0508i | −0.537393 | + | 0.122656i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −11.9522 | + | 4.18225i | −0.0483894 | + | 0.0169322i | ||||
\(248\) | −30.0639 | − | 131.718i | −0.121225 | − | 0.531123i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −155.200 | − | 97.5188i | −0.620801 | − | 0.390075i | ||||
\(251\) | 330.590 | − | 37.2486i | 1.31709 | − | 0.148401i | 0.574699 | − | 0.818365i | \(-0.305119\pi\) |
0.742393 | + | 0.669964i | \(0.233691\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −118.222 | + | 74.2836i | −0.467279 | + | 0.293611i | ||||
\(254\) | −194.965 | + | 155.480i | −0.767580 | + | 0.612124i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −220.597 | + | 106.234i | −0.861707 | + | 0.414976i | ||||
\(257\) | −44.4882 | + | 55.7865i | −0.173106 | + | 0.217068i | −0.860814 | − | 0.508919i | \(-0.830045\pi\) |
0.687709 | + | 0.725987i | \(0.258617\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.6885 | − | 39.1193i | 0.0528512 | − | 0.151040i | ||||
\(260\) | − | 132.024i | − | 0.507786i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 37.2023 | 0.141993 | ||||||||
\(263\) | −220.348 | − | 77.1032i | −0.837826 | − | 0.293168i | −0.122944 | − | 0.992414i | \(-0.539234\pi\) |
−0.714882 | + | 0.699246i | \(0.753519\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 252.248 | + | 201.161i | 0.951880 | + | 0.759099i | ||||
\(266\) | 4.40644 | + | 9.15006i | 0.0165656 | + | 0.0343987i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −24.1196 | − | 30.2450i | −0.0899984 | − | 0.112854i | ||||
\(269\) | 176.731 | + | 281.266i | 0.656993 | + | 1.04560i | 0.994547 | + | 0.104293i | \(0.0332578\pi\) |
−0.337553 | + | 0.941306i | \(0.609599\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.5758 | + | 129.364i | 0.0537851 | + | 0.477356i | 0.991515 | + | 0.129991i | \(0.0414949\pi\) |
−0.937730 | + | 0.347365i | \(0.887077\pi\) | |||||||
\(272\) | −327.184 | + | 520.710i | −1.20288 | + | 1.91437i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 322.872 | − | 73.6933i | 1.17836 | − | 0.268954i | ||||
\(275\) | −23.7678 | − | 67.9244i | −0.0864282 | − | 0.246998i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 10.5344 | + | 46.1541i | 0.0380303 | + | 0.166621i | 0.990377 | − | 0.138396i | \(-0.0441948\pi\) |
−0.952347 | + | 0.305018i | \(0.901338\pi\) | |||||||
\(278\) | 364.270 | + | 364.270i | 1.31032 | + | 1.31032i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 187.222 | − | 21.0948i | 0.668649 | − | 0.0753386i | ||||
\(281\) | −15.5090 | + | 67.9492i | −0.0551921 | + | 0.241812i | −0.994998 | − | 0.0998970i | \(-0.968149\pi\) |
0.939806 | + | 0.341709i | \(0.111006\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 430.103 | − | 342.995i | 1.51980 | − | 1.21200i | 0.613253 | − | 0.789887i | \(-0.289861\pi\) |
0.906544 | − | 0.422111i | \(-0.138711\pi\) | |||||||
\(284\) | 6.55813 | + | 3.15823i | 0.0230920 | + | 0.0111205i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −130.294 | + | 163.384i | −0.455574 | + | 0.571272i | ||||
\(287\) | −59.9798 | − | 6.75810i | −0.208989 | − | 0.0235474i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 686.921i | 2.37689i | ||||||||
\(290\) | 282.645 | − | 299.672i | 0.974638 | − | 1.03335i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −76.3915 | − | 26.7305i | −0.261615 | − | 0.0915430i | ||||
\(293\) | −35.7040 | + | 316.882i | −0.121857 | + | 1.08151i | 0.772768 | + | 0.634689i | \(0.218872\pi\) |
−0.894624 | + | 0.446819i | \(0.852557\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 46.0210 | + | 95.5636i | 0.156003 | + | 0.323944i | ||||
\(296\) | 20.7349 | − | 43.0566i | 0.0700505 | − | 0.145461i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 193.868 | + | 308.538i | 0.650562 | + | 1.03536i | ||||
\(299\) | 344.618 | + | 78.6568i | 1.15257 | + | 0.263066i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −25.8389 | + | 41.1223i | −0.0858434 | + | 0.136619i | ||||
\(302\) | 311.555 | − | 311.555i | 1.03164 | − | 1.03164i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.46622 | + | 15.6216i | 0.0179810 | + | 0.0513867i | ||||
\(305\) | −352.877 | + | 123.477i | −1.15698 | + | 0.404843i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 361.966 | + | 361.966i | 1.17904 | + | 1.17904i | 0.979989 | + | 0.199053i | \(0.0637867\pi\) |
0.199053 | + | 0.979989i | \(0.436213\pi\) | |||||||
\(308\) | 37.5499 | + | 23.5942i | 0.121915 | + | 0.0766044i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 71.5045 | − | 313.282i | 0.230660 | − | 1.01059i | ||||
\(311\) | −409.769 | + | 257.475i | −1.31758 | + | 0.827893i | −0.993017 | − | 0.117970i | \(-0.962361\pi\) |
−0.324567 | + | 0.945863i | \(0.605218\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 276.742 | + | 133.272i | 0.884159 | + | 0.425789i | 0.820142 | − | 0.572160i | \(-0.193894\pi\) |
0.0640173 | + | 0.997949i | \(0.479609\pi\) | |||||||
\(314\) | −323.117 | + | 155.605i | −1.02903 | + | 0.495557i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 125.331 | + | 14.1214i | 0.396617 | + | 0.0446880i | ||||
\(317\) | −184.663 | + | 527.737i | −0.582534 | + | 1.66479i | 0.153747 | + | 0.988110i | \(0.450866\pi\) |
−0.736281 | + | 0.676676i | \(0.763420\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −170.804 | + | 24.3195i | −0.535437 | + | 0.0762366i | ||||
\(320\) | 166.784 | 0.521200 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 31.7418 | − | 281.716i | 0.0985769 | − | 0.874894i | ||||
\(323\) | 20.5343 | + | 16.3756i | 0.0635737 | + | 0.0506983i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −79.0480 | + | 164.145i | −0.243225 | + | 0.505061i | ||||
\(326\) | −334.492 | − | 419.440i | −1.02605 | − | 1.28663i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −67.8536 | − | 15.4871i | −0.206871 | − | 0.0472169i | ||||
\(329\) | −15.1377 | − | 134.351i | −0.0460113 | − | 0.408362i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −418.557 | + | 418.557i | −1.26452 | + | 1.26452i | −0.315645 | + | 0.948877i | \(0.602221\pi\) |
−0.948877 | + | 0.315645i | \(0.897779\pi\) | |||||||
\(332\) | 108.904 | − | 24.8567i | 0.328025 | − | 0.0748695i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 271.606 | − | 95.0390i | 0.813191 | − | 0.284548i | ||||
\(335\) | 36.4297 | + | 159.609i | 0.108745 | + | 0.476445i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −535.661 | − | 336.578i | −1.58950 | − | 0.998748i | −0.978281 | − | 0.207285i | \(-0.933537\pi\) |
−0.611218 | − | 0.791463i | \(-0.709320\pi\) | |||||||
\(338\) | 134.070 | − | 15.1061i | 0.396657 | − | 0.0446926i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −231.864 | + | 145.690i | −0.681954 | + | 0.428500i | ||||
\(341\) | −105.221 | + | 83.9110i | −0.308566 | + | 0.246073i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −332.133 | + | 159.947i | −0.968316 | + | 0.466317i | ||||
\(344\) | −34.9157 | + | 43.7829i | −0.101499 | + | 0.127276i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 24.9002 | − | 71.1607i | 0.0719659 | − | 0.205667i | ||||
\(347\) | 141.419i | 0.407547i | 0.979018 | + | 0.203774i | \(0.0653207\pi\) | ||||
−0.979018 | + | 0.203774i | \(0.934679\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −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 | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 102.428 | + | 81.6833i | 0.290987 | + | 0.232055i | ||||
\(353\) | −6.08107 | − | 12.6275i | −0.0172268 | − | 0.0357719i | 0.892178 | − | 0.451684i | \(-0.149177\pi\) |
−0.909405 | + | 0.415912i | \(0.863462\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −19.2063 | − | 24.0840i | −0.0541023 | − | 0.0678421i | ||||
\(356\) | 111.978 | + | 178.212i | 0.314545 | + | 0.500595i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 70.2120 | + | 623.148i | 0.196123 | + | 1.74064i | ||||
\(359\) | −8.23661 | + | 13.1085i | −0.0229432 | + | 0.0365139i | −0.857999 | − | 0.513651i | \(-0.828292\pi\) |
0.835056 | + | 0.550165i | \(0.185435\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −351.260 | + | 80.1728i | −0.973019 | + | 0.222085i | ||||
\(362\) | −82.0402 | − | 234.457i | −0.226630 | − | 0.647672i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −24.9832 | − | 109.459i | −0.0686351 | − | 0.300710i | ||||
\(365\) | 242.190 | + | 242.190i | 0.663534 | + | 0.663534i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 281.948 | − | 31.7679i | 0.768249 | − | 0.0865609i | 0.280864 | − | 0.959748i | \(-0.409379\pi\) |
0.487386 | + | 0.873187i | \(0.337951\pi\) | |||||||
\(368\) | 102.805 | − | 450.417i | 0.279361 | − | 1.22396i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 88.8650 | − | 70.8675i | 0.240176 | − | 0.191534i | ||||
\(371\) | 247.199 | + | 119.045i | 0.666306 | + | 0.320876i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 146.301 | − | 183.455i | 0.392227 | − | 0.491837i | −0.546035 | − | 0.837762i | \(-0.683863\pi\) |
0.938262 | + | 0.345925i | \(0.112435\pi\) | |||||||
\(374\) | 430.719 | + | 48.5304i | 1.15166 | + | 0.129760i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | − | 155.896i | − | 0.414618i | ||||||
\(377\) | 349.306 | + | 262.234i | 0.926541 | + | 0.695580i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 549.482 | + | 192.272i | 1.44982 | + | 0.507314i | 0.936434 | − | 0.350844i | \(-0.114105\pi\) |
0.513386 | + | 0.858158i | \(0.328391\pi\) | |||||||
\(380\) | −0.825134 | + | 7.32327i | −0.00217140 | + | 0.0192718i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −104.046 | − | 216.054i | −0.272371 | − | 0.565585i | ||||
\(383\) | 177.905 | − | 369.424i | 0.464504 | − | 0.964553i | −0.528770 | − | 0.848765i | \(-0.677346\pi\) |
0.993274 | − | 0.115788i | \(-0.0369393\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −99.8502 | − | 158.911i | −0.259351 | − | 0.412755i | ||||
\(386\) | −434.835 | − | 99.2484i | −1.12652 | − | 0.257120i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.787317 | + | 1.25301i | −0.00202917 | + | 0.00322940i | ||||
\(389\) | −57.4399 | + | 57.4399i | −0.147661 | + | 0.147661i | −0.777072 | − | 0.629412i | \(-0.783296\pi\) |
0.629412 | + | 0.777072i | \(0.283296\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −242.150 | − | 692.024i | −0.619309 | − | 1.76988i | ||||
\(392\) | −124.992 | + | 43.7367i | −0.318858 | + | 0.111573i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −85.2996 | − | 85.2996i | −0.216496 | − | 0.216496i | ||||
\(395\) | −451.943 | − | 283.975i | −1.14416 | − | 0.718923i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.5451 | − | 98.7767i | 0.0567887 | − | 0.248808i | −0.938564 | − | 0.345106i | \(-0.887843\pi\) |
0.995353 | + | 0.0962980i | \(0.0307002\pi\) | |||||||
\(398\) | 1.01883 | − | 0.640176i | 0.00255988 | − | 0.00160848i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 214.538 | + | 103.316i | 0.536345 | + | 0.258290i | ||||
\(401\) | −107.974 | + | 51.9976i | −0.269262 | + | 0.129670i | −0.563643 | − | 0.826018i | \(-0.690601\pi\) |
0.294381 | + | 0.955688i | \(0.404887\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 338.579 | + | 38.1487i | 0.840147 | + | 0.0946619i | ||||
\(404\) | 63.1884 | − | 180.582i | 0.156407 | − | 0.446985i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 177.627 | − | 301.937i | 0.437506 | − | 0.743687i | ||||
\(407\) | −47.6042 | −0.116964 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −42.0942 | + | 373.596i | −0.102920 | + | 0.913438i | 0.831077 | + | 0.556157i | \(0.187725\pi\) |
−0.933997 | + | 0.357281i | \(0.883704\pi\) | |||||||
\(410\) | −129.420 | − | 103.209i | −0.315659 | − | 0.251730i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.35957 | + | 9.05274i | −0.0105815 | + | 0.0219727i | ||||
\(413\) | 56.2386 | + | 70.5210i | 0.136171 | + | 0.170753i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −460.881 | − | 105.193i | −1.11056 | − | 0.253477i | ||||
\(416\) | −37.1359 | − | 329.590i | −0.0892691 | − | 0.792285i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 8.24843 | − | 8.24843i | 0.0197331 | − | 0.0197331i | ||||
\(419\) | 231.325 | − | 52.7983i | 0.552087 | − | 0.126010i | 0.0626288 | − | 0.998037i | \(-0.480052\pi\) |
0.489459 | + | 0.872027i | \(0.337194\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 120.085 | − | 42.0197i | 0.285238 | − | 0.0998092i | −0.183868 | − | 0.982951i | \(-0.558862\pi\) |
0.469106 | + | 0.883142i | \(0.344576\pi\) | |||||||
\(422\) | 79.6642 | + | 349.032i | 0.188778 | + | 0.827089i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 267.877 | + | 168.318i | 0.631786 | + | 0.396977i | ||||
\(425\) | 375.505 | − | 42.3093i | 0.883542 | − | 0.0995512i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −269.197 | + | 169.148i | −0.630438 | + | 0.396131i | ||||
\(428\) | −75.6860 | + | 60.3575i | −0.176836 | + | 0.141022i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −120.002 | + | 57.7901i | −0.279075 | + | 0.134396i | ||||
\(431\) | −102.073 | + | 127.996i | −0.236828 | + | 0.296973i | −0.886016 | − | 0.463655i | \(-0.846538\pi\) |
0.649187 | + | 0.760629i | \(0.275109\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −29.3711 | + | 83.9378i | −0.0678316 | + | 0.193852i | −0.972809 | − | 0.231607i | \(-0.925602\pi\) |
0.904978 | + | 0.425459i | \(0.139887\pi\) | |||||||
\(434\) | − | 273.266i | − | 0.629644i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 256.530 | 0.588371 | ||||||||
\(437\) | −18.6240 | − | 6.51683i | −0.0426179 | − | 0.0149127i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 377.689 | + | 301.197i | 0.860340 | + | 0.686098i | 0.950801 | − | 0.309802i | \(-0.100263\pi\) |
−0.0904611 | + | 0.995900i | \(0.528834\pi\) | |||||||
\(440\) | −93.8946 | − | 194.974i | −0.213397 | − | 0.443123i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −684.185 | − | 857.941i | −1.54793 | − | 1.94104i | ||||
\(443\) | 33.5662 | + | 53.4203i | 0.0757703 | + | 0.120588i | 0.882460 | − | 0.470388i | \(-0.155886\pi\) |
−0.806690 | + | 0.590975i | \(0.798743\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −99.7284 | − | 885.114i | −0.224109 | − | 1.98902i | ||||
\(446\) | −98.8157 | + | 157.264i | −0.221560 | + | 0.352610i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 138.277 | − | 31.5608i | 0.308654 | − | 0.0704482i | ||||
\(449\) | −224.975 | − | 642.941i | −0.501058 | − | 1.43194i | −0.865592 | − | 0.500751i | \(-0.833057\pi\) |
0.364534 | − | 0.931190i | \(-0.381228\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.4272 | + | 67.5910i | 0.0342066 | + | 0.149869i | ||||
\(452\) | −14.4700 | − | 14.4700i | −0.0320133 | − | 0.0320133i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 975.565 | − | 109.920i | 2.14882 | − | 0.242114i | ||||
\(455\) | −105.729 | + | 463.227i | −0.232370 | + | 1.01808i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −81.2493 | + | 64.7942i | −0.177788 | + | 0.141782i | −0.708341 | − | 0.705871i | \(-0.750556\pi\) |
0.530552 | + | 0.847652i | \(0.321985\pi\) | |||||||
\(458\) | −414.684 | − | 199.701i | −0.905424 | − | 0.436029i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 128.266 | − | 160.840i | 0.278838 | − | 0.349652i | ||||
\(461\) | −286.769 | − | 32.3111i | −0.622058 | − | 0.0700891i | −0.204690 | − | 0.978827i | \(-0.565619\pi\) |
−0.417368 | + | 0.908738i | \(0.637047\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 377.960i | 0.816329i | 0.912908 | + | 0.408164i | \(0.133831\pi\) | ||||
−0.912908 | + | 0.408164i | \(0.866169\pi\) | |||||||
\(464\) | 342.740 | − | 456.544i | 0.738664 | − | 0.983931i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −268.604 | − | 93.9888i | −0.576404 | − | 0.201693i | ||||
\(467\) | 89.7450 | − | 796.509i | 0.192173 | − | 1.70559i | −0.414019 | − | 0.910268i | \(-0.635875\pi\) |
0.606193 | − | 0.795318i | \(-0.292696\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 60.4061 | + | 125.435i | 0.128798 | + | 0.267451i | ||||
\(470\) | 160.879 | − | 334.068i | 0.342295 | − | 0.710782i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 55.3349 | + | 88.0650i | 0.117235 | + | 0.186578i | ||||
\(473\) | 54.3851 | + | 12.4130i | 0.114979 | + | 0.0262432i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.41060 | − | 8.61092i | 0.0113907 | − | 0.0181283i | ||||
\(476\) | −164.664 | + | 164.664i | −0.345934 | + | 0.345934i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −236.334 | − | 675.405i | −0.494423 | − | 1.41298i | ||||
\(479\) | 392.771 | − | 137.436i | 0.819981 | − | 0.286924i | 0.112496 | − | 0.993652i | \(-0.464115\pi\) |
0.707485 | + | 0.706729i | \(0.249830\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 85.2198 | + | 85.2198i | 0.177172 | + | 0.177172i | ||||
\(482\) | −271.327 | − | 170.486i | −0.562919 | − | 0.353705i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −27.4157 | + | 120.116i | −0.0566441 | + | 0.248174i | ||||
\(485\) | 5.30271 | − | 3.33192i | 0.0109334 | − | 0.00686993i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −642.025 | − | 309.183i | −1.31833 | − | 0.634873i | −0.363378 | − | 0.931642i | \(-0.618377\pi\) |
−0.954949 | + | 0.296769i | \(0.904091\pi\) | |||||||
\(488\) | −330.289 | + | 159.059i | −0.676822 | + | 0.325940i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −312.978 | − | 35.2641i | −0.638731 | − | 0.0719676i | ||||
\(491\) | 16.0776 | − | 45.9471i | 0.0327446 | − | 0.0935786i | −0.926351 | − | 0.376662i | \(-0.877072\pi\) |
0.959095 | + | 0.283084i | \(0.0913574\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 75.0788 | − | 902.836i | 0.152290 | − | 1.83131i | ||||
\(494\) | −29.5322 | −0.0597819 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 49.8605 | − | 442.525i | 0.100525 | − | 0.892187i | ||||
\(497\) | −20.4810 | − | 16.3330i | −0.0412092 | − | 0.0328632i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 336.600 | − | 698.958i | 0.674550 | − | 1.40072i | −0.229508 | − | 0.973307i | \(-0.573712\pi\) |
0.904058 | − | 0.427410i | \(-0.140574\pi\) | |||||||
\(500\) | −70.5233 | − | 88.4334i | −0.141047 | − | 0.176867i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 756.431 | + | 172.650i | 1.50683 | + | 0.343925i | ||||
\(503\) | 52.8932 | + | 469.440i | 0.105156 | + | 0.933281i | 0.929909 | + | 0.367789i | \(0.119885\pi\) |
−0.824754 | + | 0.565492i | \(0.808686\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −572.514 | + | 572.514i | −1.13369 | + | 1.13369i | ||||
\(506\) | −317.464 | + | 72.4592i | −0.627400 | + | 0.143200i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −145.250 | + | 50.8250i | −0.285924 | + | 0.100049i | ||||
\(509\) | 171.270 | + | 750.383i | 0.336483 | + | 1.47423i | 0.806322 | + | 0.591477i | \(0.201455\pi\) |
−0.469838 | + | 0.882753i | \(0.655688\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 246.624 | + | 154.964i | 0.482631 | + | 0.303257i | ||||
\(512\) | 36.5399 | − | 4.11706i | 0.0713670 | − | 0.00804114i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −140.905 | + | 88.5362i | −0.274133 | + | 0.172249i | ||||
\(515\) | 33.2451 | − | 26.5121i | 0.0645537 | − | 0.0514798i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −139.914 | + | 67.3791i | −0.270627 | + | 0.130327i | ||||
\(518\) | 60.2657 | − | 75.5708i | 0.116343 | − | 0.145890i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −180.950 | + | 517.126i | −0.347981 | + | 0.994472i | ||||
\(521\) | − | 306.568i | − | 0.588421i | −0.955741 | − | 0.294211i | \(-0.904943\pi\) | ||
0.955741 | − | 0.294211i | \(-0.0950567\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 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 | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −425.669 | − | 339.459i | −0.809256 | − | 0.645360i | ||||
\(527\) | −306.627 | − | 636.718i | −0.581836 | − | 1.20819i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.5904 | + | 17.0418i | 0.0256907 | + | 0.0322151i | ||||
\(530\) | 400.332 | + | 637.124i | 0.755343 | + | 1.20212i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.701693 | + | 6.22770i | 0.00131897 | + | 0.0117062i | ||||
\(533\) | 93.3822 | − | 148.617i | 0.175201 | − | 0.278831i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 399.410 | − | 91.1628i | 0.746561 | − | 0.170398i | ||||
\(536\) | 53.0206 | + | 151.524i | 0.0989191 | + | 0.282694i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 172.391 | + | 755.293i | 0.320429 | + | 1.40389i | ||||
\(539\) | 93.2750 | + | 93.2750i | 0.173052 | + | 0.173052i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 231.201 | − | 26.0502i | 0.427359 | − | 0.0481518i | 0.104334 | − | 0.994542i | \(-0.466729\pi\) |
0.323025 | + | 0.946390i | \(0.395300\pi\) | |||||||
\(542\) | −67.5600 | + | 296.000i | −0.124649 | + | 0.546125i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −537.855 | + | 428.925i | −0.988703 | + | 0.788465i | ||||
\(545\) | −978.119 | − | 471.037i | −1.79471 | − | 0.864288i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.46184 | − | 6.84892i | 0.00998507 | − | 0.0125209i | −0.776814 | − | 0.629730i | \(-0.783165\pi\) |
0.786799 | + | 0.617209i | \(0.211737\pi\) | |||||||
\(548\) | 203.082 | + | 22.8818i | 0.370587 | + | 0.0417551i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | − | 167.832i | − | 0.305149i | ||||||
\(551\) | −17.7367 | − | 16.7290i | −0.0321901 | − | 0.0303611i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −428.433 | − | 149.915i | −0.774743 | − | 0.271094i | ||||
\(554\) | −12.3619 | + | 109.715i | −0.0223139 | + | 0.198042i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 137.932 | + | 286.418i | 0.248079 | + | 0.515141i | ||||
\(557\) | 184.669 | − | 383.470i | 0.331543 | − | 0.688456i | −0.666846 | − | 0.745195i | \(-0.732356\pi\) |
0.998389 | + | 0.0567395i | \(0.0180704\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −75.1373 | − | 119.580i | −0.134414 | − | 0.213918i | ||||
\(560\) | 605.440 | + | 138.188i | 1.08114 | + | 0.246764i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −86.4803 | + | 137.633i | −0.153880 | + | 0.244898i | ||||
\(563\) | −493.000 | + | 493.000i | −0.875666 | + | 0.875666i | −0.993083 | − | 0.117416i | \(-0.962539\pi\) |
0.117416 | + | 0.993083i | \(0.462539\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 28.6029 | + | 81.7423i | 0.0506245 | + | 0.144677i | ||||
\(566\) | 1211.00 | − | 423.748i | 2.13958 | − | 0.748671i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −21.3589 | − | 21.3589i | −0.0376037 | − | 0.0376037i | ||||
\(569\) | 267.135 | + | 167.852i | 0.469482 | + | 0.294995i | 0.745919 | − | 0.666037i | \(-0.232011\pi\) |
−0.276436 | + | 0.961032i | \(0.589154\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −136.850 | + | 599.581i | −0.239668 | + | 1.05005i | 0.701647 | + | 0.712525i | \(0.252448\pi\) |
−0.941315 | + | 0.337529i | \(0.890409\pi\) | |||||||
\(572\) | −109.192 | + | 68.6099i | −0.190895 | + | 0.119947i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −126.830 | − | 61.0780i | −0.220958 | − | 0.106408i | ||||
\(575\) | −255.772 | + | 123.174i | −0.444822 | + | 0.214215i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −468.624 | − | 52.8013i | −0.812173 | − | 0.0915100i | −0.303898 | − | 0.952705i | \(-0.598288\pi\) |
−0.508275 | + | 0.861195i | \(0.669717\pi\) | |||||||
\(578\) | −529.121 | + | 1512.14i | −0.915434 | + | 2.61616i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 225.709 | − | 116.942i | 0.389153 | − | 0.201624i | ||||
\(581\) | −402.012 | −0.691932 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 35.2850 | − | 313.163i | 0.0605231 | − | 0.537157i | ||||
\(584\) | 262.581 | + | 209.401i | 0.449625 | + | 0.358564i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −322.684 | + | 670.061i | −0.550656 | + | 1.14345i | ||||
\(587\) | 125.247 | + | 157.054i | 0.213367 | + | 0.267554i | 0.876985 | − | 0.480518i | \(-0.159551\pi\) |
−0.663618 | + | 0.748072i | \(0.730980\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −18.5422 | − | 4.23215i | −0.0314809 | − | 0.00718531i | ||||
\(590\) | 27.6968 | + | 245.816i | 0.0469438 | + | 0.416638i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 111.383 | − | 111.383i | 0.188146 | − | 0.188146i | ||||
\(593\) | 372.413 | − | 85.0008i | 0.628015 | − | 0.143340i | 0.103344 | − | 0.994646i | \(-0.467046\pi\) |
0.524671 | + | 0.851305i | \(0.324188\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 930.202 | − | 325.492i | 1.56337 | − | 0.547045i | ||||
\(596\) | 50.0370 | + | 219.226i | 0.0839546 | + | 0.367829i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 698.031 | + | 438.602i | 1.16728 | + | 0.733448i | ||||
\(599\) | 289.961 | − | 32.6708i | 0.484076 | − | 0.0545422i | 0.133445 | − | 0.991056i | \(-0.457396\pi\) |
0.350630 | + | 0.936514i | \(0.385967\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 434.543 | − | 273.041i | 0.723033 | − | 0.454312i | −0.119585 | − | 0.992824i | \(-0.538156\pi\) |
0.842618 | + | 0.538512i | \(0.181013\pi\) | |||||||
\(602\) | −88.5556 | + | 70.6207i | −0.147102 | + | 0.117310i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 244.970 | − | 117.971i | 0.405579 | − | 0.195317i | ||||
\(605\) | 325.089 | − | 407.649i | 0.537338 | − | 0.673800i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 182.154 | − | 520.567i | 0.300090 | − | 0.857607i | −0.690814 | − | 0.723033i | \(-0.742748\pi\) |
0.990904 | − | 0.134574i | \(-0.0429667\pi\) | |||||||
\(608\) | 18.5142i | 0.0304509i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −871.912 | −1.42936 | ||||||||
\(611\) | 371.091 | + | 129.850i | 0.607350 | + | 0.212521i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 280.338 | + | 223.562i | 0.457321 | + | 0.364701i | 0.824888 | − | 0.565295i | \(-0.191238\pi\) |
−0.367567 | + | 0.929997i | \(0.619809\pi\) | |||||||
\(614\) | 517.992 | + | 1075.62i | 0.843636 | + | 1.75183i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −114.741 | − | 143.881i | −0.186268 | − | 0.233573i | ||||
\(617\) | 279.227 | + | 444.387i | 0.452555 | + | 0.720238i | 0.992604 | − | 0.121396i | \(-0.0387371\pi\) |
−0.540049 | + | 0.841634i | \(0.681594\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 112.177 | + | 995.602i | 0.181224 | + | 1.60840i | 0.674327 | + | 0.738433i | \(0.264434\pi\) |
−0.493103 | + | 0.869971i | \(0.664137\pi\) | |||||||
\(620\) | 105.500 | − | 167.902i | 0.170161 | − | 0.270810i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1100.36 | + | 251.151i | −1.76907 | + | 0.403780i | ||||
\(623\) | −250.174 | − | 714.957i | −0.401564 | − | 1.14760i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 173.808 | + | 761.503i | 0.278093 | + | 1.21841i | ||||
\(626\) | 506.544 | + | 506.544i | 0.809176 | + | 0.809176i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −219.919 | + | 24.7790i | −0.350190 | + | 0.0394569i | ||||
\(629\) | 55.6242 | − | 243.706i | 0.0884328 | − | 0.387449i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −434.398 | + | 346.421i | −0.688427 | + | 0.549002i | −0.904025 | − | 0.427480i | \(-0.859401\pi\) |
0.215598 | + | 0.976482i | \(0.430830\pi\) | |||||||
\(632\) | −471.553 | − | 227.088i | −0.746128 | − | 0.359317i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −813.011 | + | 1019.48i | −1.28235 | + | 1.60802i | ||||
\(635\) | 647.145 | + | 72.9158i | 1.01913 | + | 0.114828i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 333.957i | − | 0.524266i | ||||||
\(638\) | −394.730 | − | 78.0319i | −0.618699 | − | 0.122307i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 873.540 | + | 305.665i | 1.36491 | + | 0.477601i | ||||
\(641\) | 75.0000 | − | 665.643i | 0.117005 | − | 1.03845i | −0.788771 | − | 0.614687i | \(-0.789282\pi\) |
0.905775 | − | 0.423758i | \(-0.139289\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 38.4657 | + | 79.8749i | 0.0598223 | + | 0.124222i | 0.928737 | − | 0.370740i | \(-0.120896\pi\) |
−0.868914 | + | 0.494963i | \(0.835182\pi\) | |||||||
\(644\) | 75.9061 | − | 157.621i | 0.117867 | − | 0.244753i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 32.5891 | + | 51.8652i | 0.0504475 | + | 0.0802867i | ||||
\(647\) | 399.560 | + | 91.1970i | 0.617558 | + | 0.140954i | 0.519844 | − | 0.854261i | \(-0.325990\pi\) |
0.0977136 | + | 0.995215i | \(0.468847\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 55.1207 | − | 87.7241i | 0.0849318 | − | 0.135168i | ||||
\(650\) | −300.448 | + | 300.448i | −0.462228 | + | 0.462228i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −109.343 | − | 312.484i | −0.167704 | − | 0.479270i | ||||
\(653\) | 28.0410 | − | 9.81196i | 0.0429418 | − | 0.0150260i | −0.308723 | − | 0.951152i | \(-0.599902\pi\) |
0.351664 | + | 0.936126i | \(0.385616\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −68.6992 | − | 68.6992i | −0.104884 | − | 0.104884i | ||||
\(656\) | −194.243 | − | 122.051i | −0.296102 | − | 0.186053i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 70.1647 | − | 307.411i | 0.106633 | − | 0.467191i | ||||
\(659\) | −839.507 | + | 527.497i | −1.27391 | + | 0.800451i | −0.987494 | − | 0.157655i | \(-0.949607\pi\) |
−0.286416 | + | 0.958105i | \(0.592464\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 34.7693 | + | 16.7440i | 0.0526010 | + | 0.0253313i | 0.459999 | − | 0.887919i | \(-0.347850\pi\) |
−0.407398 | + | 0.913251i | \(0.633564\pi\) | |||||||
\(662\) | −1243.79 | + | 598.977i | −1.87883 | + | 0.904799i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −460.634 | − | 51.9010i | −0.693726 | − | 0.0781642i | ||||
\(665\) | 8.75977 | − | 25.0340i | 0.0131726 | − | 0.0376451i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 170.777 | + | 658.829i | 0.256038 | + | 0.987750i | ||||
\(668\) | 177.572 | 0.265826 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −42.7496 | + | 379.413i | −0.0638054 | + | 0.566289i | ||||
\(671\) | 285.505 | + | 227.682i | 0.425491 | + | 0.339318i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 340.019 | − | 706.057i | 0.505229 | − | 1.04912i | −0.479903 | − | 0.877321i | \(-0.659328\pi\) |
0.985132 | − | 0.171797i | \(-0.0549575\pi\) | |||||||
\(674\) | −919.909 | − | 1153.53i | −1.36485 | − | 1.71147i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 81.1703 | + | 18.5266i | 0.120074 | + | 0.0274062i | ||||
\(677\) | −72.2705 | − | 641.418i | −0.106751 | − | 0.947442i | −0.926904 | − | 0.375298i | \(-0.877540\pi\) |
0.820153 | − | 0.572144i | \(-0.193888\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.76586 | − | 3.76586i | 0.00554618 | − | 0.00554618i | ||||
\(680\) | 1107.87 | − | 252.864i | 1.62922 | − | 0.371858i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −296.261 | + | 103.666i | −0.434401 | + | 0.152003i | ||||
\(683\) | −196.973 | − | 862.994i | −0.288393 | − | 1.26353i | −0.886729 | − | 0.462289i | \(-0.847028\pi\) |
0.598336 | − | 0.801245i | \(-0.295829\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −732.313 | − | 460.143i | −1.06907 | − | 0.671741i | ||||
\(686\) | −854.338 | + | 96.2608i | −1.24539 | + | 0.140322i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −156.292 | + | 98.2047i | −0.227168 | + | 0.142739i | ||||
\(689\) | −623.782 | + | 497.450i | −0.905344 | + | 0.721988i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 553.507 | − | 266.555i | 0.801023 | − | 0.385752i | 0.0118551 | − | 0.999930i | \(-0.496226\pi\) |
0.789168 | + | 0.614177i | \(0.210512\pi\) | |||||||
\(692\) | 29.0071 | − | 36.3737i | 0.0419177 | − | 0.0525632i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −108.932 | + | 311.310i | −0.156963 | + | 0.448574i | ||||
\(695\) | − | 1345.35i | − | 1.93575i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −364.053 | −0.522314 | ||||||||
\(698\) | −1258.14 | − | 440.244i | −1.80250 | − | 0.630721i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 70.4967 | + | 56.2192i | 0.100710 | + | 0.0803132i | ||||
\(701\) | −92.4303 | − | 191.933i | −0.131855 | − | 0.273800i | 0.824580 | − | 0.565745i | \(-0.191412\pi\) |
−0.956435 | + | 0.291946i | \(0.905697\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.19445 | − | 5.25967i | −0.00596650 | − | 0.00748175i | ||||
\(704\) | −86.6736 | − | 137.940i | −0.123116 | − | 0.195938i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.65977 | − | 32.4814i | −0.00518381 | − | 0.0460076i | ||||
\(707\) | −366.321 | + | 582.996i | −0.518134 | + | 0.824606i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 976.236 | − | 222.819i | 1.37692 | − | 0.314273i | 0.530904 | − | 0.847432i | \(-0.321852\pi\) |
0.846015 | + | 0.533159i | \(0.178995\pi\) | |||||||
\(710\) | −23.7281 | − | 67.8110i | −0.0334199 | − | 0.0955085i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −194.352 | − | 851.511i | −0.272966 | − | 1.19594i | ||||
\(713\) | 375.415 | + | 375.415i | 0.526528 | + | 0.526528i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 542.318 | − | 61.1045i | 0.758486 | − | 0.0854609i | ||||
\(716\) | −86.1102 | + | 377.273i | −0.120266 | + | 0.526918i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −28.2287 | + | 22.5116i | −0.0393158 | + | 0.0313533i | ||||
\(719\) | 1085.74 | + | 522.866i | 1.51007 | + | 0.727213i | 0.991776 | − | 0.127987i | \(-0.0408517\pi\) |
0.518298 | + | 0.855200i | \(0.326566\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 22.5459 | − | 28.2716i | 0.0312703 | − | 0.0392117i | ||||
\(722\) | −834.995 | − | 94.0814i | −1.15650 | − | 0.130307i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 153.285i | − | 0.211719i | ||||||
\(725\) | −350.639 | + | 10.2527i | −0.483640 | + | 0.0141417i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −984.289 | − | 344.418i | −1.35391 | − | 0.473752i | −0.446792 | − | 0.894638i | \(-0.647433\pi\) |
−0.907113 | + | 0.420886i | \(0.861719\pi\) | |||||||
\(728\) | −52.1652 | + | 462.979i | −0.0716555 | + | 0.635960i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 346.587 | + | 719.695i | 0.474776 | + | 0.985883i | ||||
\(731\) | −127.095 | + | 263.916i | −0.173865 | + | 0.361034i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 365.036 | + | 580.951i | 0.498002 | + | 0.792566i | 0.997267 | − | 0.0738833i | \(-0.0235392\pi\) |
−0.499264 | + | 0.866450i | \(0.666396\pi\) | |||||||
\(734\) | 645.131 | + | 147.247i | 0.878924 | + | 0.200609i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 274.966 | − | 437.605i | 0.373594 | − | 0.594572i | ||||
\(737\) | 113.074 | − | 113.074i | 0.153425 | − | 0.153425i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 282.220 | + | 806.539i | 0.381895 | + | 1.09139i | 0.961098 | + | 0.276209i | \(0.0890782\pi\) |
−0.579203 | + | 0.815183i | \(0.696636\pi\) | |||||||
\(740\) | 66.2047 | − | 23.1660i | 0.0894658 | − | 0.0313054i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 452.470 | + | 452.470i | 0.609798 | + | 0.609798i | ||||
\(743\) | 277.918 | + | 174.627i | 0.374048 | + | 0.235030i | 0.705915 | − | 0.708296i | \(-0.250536\pi\) |
−0.331868 | + | 0.943326i | \(0.607679\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 211.756 | − | 927.763i | 0.284236 | − | 1.24532i | ||||
\(746\) | 463.369 | − | 291.154i | 0.621138 | − | 0.390287i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 240.988 | + | 116.054i | 0.322177 | + | 0.155152i | ||||
\(749\) | 313.891 | − | 151.162i | 0.419080 | − | 0.201818i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 971.174 | + | 109.425i | 1.29318 | + | 0.145706i | 0.731608 | − | 0.681725i | \(-0.238770\pi\) |
0.561567 | + | 0.827431i | \(0.310199\pi\) | |||||||
\(752\) | 169.715 | − | 485.018i | 0.225685 | − | 0.644970i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 566.945 | + | 846.326i | 0.751917 | + | 1.12245i | ||||
\(755\) | −1150.66 | −1.52405 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.974699 | + | 8.65069i | −0.00128758 | + | 0.0114276i | −0.994340 | − | 0.106249i | \(-0.966116\pi\) |
0.993052 | + | 0.117676i | \(0.0375446\pi\) | |||||||
\(758\) | 1061.49 | + | 846.509i | 1.40038 | + | 1.11677i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 13.2691 | − | 27.5535i | 0.0174593 | − | 0.0362547i | ||||
\(761\) | 380.683 | + | 477.361i | 0.500240 | + | 0.627282i | 0.966284 | − | 0.257480i | \(-0.0828923\pi\) |
−0.466043 | + | 0.884762i | \(0.654321\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −900.072 | − | 205.436i | −1.17965 | − | 0.269247i | ||||
\(764\) | −16.5686 | − | 147.050i | −0.0216866 | − | 0.192474i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 676.188 | − | 676.188i | 0.882752 | − | 0.882752i | ||||
\(767\) | −255.717 | + | 58.3658i | −0.333399 | + | 0.0760962i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 61.7689 | − | 21.6139i | 0.0803237 | − | 0.0281065i | −0.289818 | − | 0.957082i | \(-0.593595\pi\) |
0.370142 | + | 0.928975i | \(0.379309\pi\) | |||||||
\(770\) | −97.3979 | − | 426.728i | −0.126491 | − | 0.554192i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −233.049 | − | 146.434i | −0.301877 | − | 0.189682i | ||||
\(773\) | −199.336 | + | 22.4598i | −0.257873 | + | 0.0290554i | −0.239955 | − | 0.970784i | \(-0.577133\pi\) |
−0.0179188 | + | 0.999839i | \(0.505704\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −231.697 | + | 145.585i | −0.298964 | + | 0.187851i | ||||
\(776\) | 4.80119 | − | 3.82882i | 0.00618709 | − | 0.00493404i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −170.689 | + | 82.1996i | −0.219395 | + | 0.105655i | ||||
\(779\) | −6.10866 | + | 7.66001i | −0.00784167 | + | 0.00983314i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.93780 | + | 28.4006i | −0.0127245 | + | 0.0363644i | ||||
\(782\) | − | 1709.90i | − | 2.18657i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −436.483 | −0.556739 | ||||||||
\(785\) | 884.027 | + | 309.334i | 1.12615 | + | 0.394057i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −350.315 | − | 279.367i | −0.445126 | − | 0.354977i | 0.375130 | − | 0.926972i | \(-0.377598\pi\) |
−0.820257 | + | 0.571996i | \(0.806169\pi\) | |||||||
\(788\) | −32.2989 | − | 67.0694i | −0.0409885 | − | 0.0851135i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −776.137 | − | 973.245i | −0.982452 | − | 1.23196i | ||||
\(791\) | 39.1822 | + | 62.3582i | 0.0495351 | + | 0.0788346i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −103.512 | − | 918.694i | −0.130532 | − | 1.15850i | ||||
\(794\) | 125.715 | − | 200.074i | 0.158331 | − | 0.251983i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.723914 | − | 0.165229i | 0.000909439 | − | 0.000207574i | ||||
\(797\) | −217.496 | − | 621.567i | −0.272893 | − | 0.779883i | −0.996017 | − | 0.0891649i | \(-0.971580\pi\) |
0.723124 | − | 0.690718i | \(-0.242706\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −181.456 | − | 795.010i | −0.227104 | − | 0.995006i | ||||
\(800\) | 188.355 | + | 188.355i | 0.235444 | + | 0.235444i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −277.740 | + | 31.2938i | −0.346309 | + | 0.0390197i | ||||
\(803\) | 74.4452 | − | 326.166i | 0.0927088 | − | 0.406184i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −578.843 | + | 461.612i | −0.719060 | + | 0.573431i | ||||
\(806\) | 715.941 | + | 344.779i | 0.888264 | + | 0.427765i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −495.005 | + | 620.716i | −0.612630 | + | 0.768213i | ||||
\(809\) | −181.264 | − | 20.4235i | −0.224059 | − | 0.0252454i | −0.000778885 | − | 1.00000i | \(-0.500248\pi\) |
−0.223280 | + | 0.974754i | \(0.571676\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 657.923i | − | 0.811249i | −0.914040 | − | 0.405625i | \(-0.867054\pi\) | ||
0.914040 | − | 0.405625i | \(-0.132946\pi\) | |||||||
\(812\) | 165.001 | − | 139.665i | 0.203203 | − | 0.172001i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −104.793 | − | 36.6685i | −0.128738 | − | 0.0450473i | ||||
\(815\) | −156.868 | + | 1392.24i | −0.192476 | + | 1.70827i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.42043 | + | 7.10260i | 0.00418657 | + | 0.00869351i | ||||
\(818\) | −380.437 | + | 789.985i | −0.465081 | + | 0.965752i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −54.3475 | − | 86.4935i | −0.0662774 | − | 0.105480i | ||||
\(821\) | 805.317 | + | 183.808i | 0.980897 | + | 0.223883i | 0.682763 | − | 0.730640i | \(-0.260778\pi\) |
0.298135 | + | 0.954524i | \(0.403635\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −477.203 | + | 759.464i | −0.579833 | + | 0.922799i | 0.420050 | + | 0.907501i | \(0.362013\pi\) |
−0.999883 | + | 0.0152980i | \(0.995130\pi\) | |||||||
\(824\) | 29.4835 | − | 29.4835i | 0.0357809 | − | 0.0357809i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 69.4790 | + | 198.560i | 0.0841151 | + | 0.240387i | ||||
\(827\) | 768.394 | − | 268.873i | 0.929135 | − | 0.325118i | 0.177063 | − | 0.984200i | \(-0.443340\pi\) |
0.752072 | + | 0.659081i | \(0.229055\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 242.583 | + | 242.583i | 0.292621 | + | 0.292621i | 0.838115 | − | 0.545494i | \(-0.183658\pi\) |
−0.545494 | + | 0.838115i | \(0.683658\pi\) | |||||||
\(830\) | −933.525 | − | 586.573i | −1.12473 | − | 0.706714i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −91.7762 | + | 402.098i | −0.110308 | + | 0.483291i | ||||
\(833\) | −586.503 | + | 368.524i | −0.704085 | + | 0.442406i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −677.061 | − | 326.055i | −0.810852 | − | 0.390486i | ||||
\(836\) | 6.48558 | − | 3.12329i | 0.00775787 | − | 0.00373599i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 549.892 | + | 61.9579i | 0.656196 | + | 0.0739355i | ||||
\(839\) | 259.165 | − | 740.652i | 0.308898 | − | 0.882779i | −0.679872 | − | 0.733331i | \(-0.737965\pi\) |
0.988770 | − | 0.149448i | \(-0.0477497\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −138.913 | + | 829.448i | −0.165176 | + | 0.986264i | ||||
\(842\) | 296.715 | 0.352393 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −24.7358 | + | 219.536i | −0.0293078 | + | 0.260114i | ||||
\(845\) | −275.475 | − | 219.684i | −0.326006 | − | 0.259981i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 192.384 | − | 399.490i | 0.227136 | − | 0.471653i | ||||
\(848\) | 650.169 | + | 815.286i | 0.766708 | + | 0.961422i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 859.202 | + | 196.107i | 1.01083 | + | 0.230714i | ||||
\(851\) | 21.0263 | + | 186.613i | 0.0247077 | + | 0.219287i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 398.813 | − | 398.813i | 0.467542 | − | 0.467542i | −0.433575 | − | 0.901117i | \(-0.642748\pi\) |
0.901117 | + | 0.433575i | \(0.142748\pi\) | |||||||
\(854\) | −722.883 | + | 164.993i | −0.846468 | + | 0.193201i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 379.179 | − | 132.680i | 0.442966 | − | 0.155000i | ||||
\(857\) | −234.380 | − | 1026.89i | −0.273489 | − | 1.19824i | −0.905863 | − | 0.423572i | \(-0.860776\pi\) |
0.632373 | − | 0.774664i | \(-0.282081\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1397.29 | − | 877.978i | −1.62665 | − | 1.02209i | −0.961277 | − | 0.275585i | \(-0.911129\pi\) |
−0.665376 | − | 0.746509i | \(-0.731729\pi\) | |||||||
\(860\) | −81.6758 | + | 9.20265i | −0.0949718 | + | 0.0107008i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −323.289 | + | 203.136i | −0.375045 | + | 0.235657i | ||||
\(863\) | 703.807 | − | 561.267i | 0.815535 | − | 0.650367i | −0.124205 | − | 0.992257i | \(-0.539638\pi\) |
0.939740 | + | 0.341889i | \(0.111067\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −177.390 | + | 85.4265i | −0.205075 | + | 0.0987589i | ||||
\(866\) | −129.311 | + | 162.151i | −0.149320 | + | 0.187241i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 55.6953 | − | 159.168i | 0.0641651 | − | 0.183373i | ||||
\(869\) | 521.358i | 0.599952i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −404.846 | −0.464806 | ||||||||
\(872\) | −1004.80 | − | 351.594i | −1.15229 | − | 0.403205i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −35.9779 | − | 28.6914i | −0.0411647 | − | 0.0328277i | ||||
\(875\) | 176.622 | + | 366.759i | 0.201853 | + | 0.419153i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 944.016 | + | 1183.76i | 1.07641 | + | 1.34978i | 0.932901 | + | 0.360133i | \(0.117269\pi\) |
0.143514 | + | 0.989648i | \(0.454160\pi\) | |||||||
\(878\) | 599.414 | + | 953.962i | 0.682704 | + | 1.08652i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −79.8639 | − | 708.812i | −0.0907544 | − | 0.805468i | ||||
\(881\) | 199.252 | − | 317.108i | 0.226166 | − | 0.359942i | −0.714294 | − | 0.699846i | \(-0.753252\pi\) |
0.940460 | + | 0.339905i | \(0.110395\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 89.8803 | − | 20.5146i | 0.101790 | − | 0.0232328i | −0.171323 | − | 0.985215i | \(-0.554804\pi\) |
0.273112 | + | 0.961982i | \(0.411947\pi\) | |||||||
\(884\) | −223.655 | − | 639.168i | −0.253003 | − | 0.723041i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 32.7418 | + | 143.451i | 0.0369547 | + | 0.161909i | ||||
\(887\) | 511.932 | + | 511.932i | 0.577150 | + | 0.577150i | 0.934117 | − | 0.356967i | \(-0.116189\pi\) |
−0.356967 | + | 0.934117i | \(0.616189\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 550.332 | − | 62.0075i | 0.619046 | − | 0.0697497i | ||||
\(890\) | 462.250 | − | 2025.25i | 0.519382 | − | 2.27556i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −89.6095 | + | 71.4612i | −0.100459 | + | 0.0801134i | ||||
\(893\) | −19.7725 | − | 9.52194i | −0.0221417 | − | 0.0106629i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1021.07 | − | 1280.39i | 1.14087 | − | 1.43060i | ||||
\(896\) | 782.074 | + | 88.1186i | 0.872850 | + | 0.0983466i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 1588.62i | − | 1.76907i | ||||||
\(899\) | 234.681 | + | 612.625i | 0.261047 | + | 0.681452i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1561.98 | + | 546.561i | 1.73361 | + | 0.606616i | ||||
\(902\) | −18.1036 | + | 160.673i | −0.0200705 | + | 0.178130i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 36.8452 | + | 76.5098i | 0.0407580 | + | 0.0846348i | ||||
\(905\) | −281.460 | + | 584.457i | −0.311005 | + | 0.645809i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −351.881 | − | 560.016i | −0.387962 | − | 0.617437i | 0.594457 | − | 0.804127i | \(-0.297367\pi\) |
−0.982419 | + | 0.186690i | \(0.940224\pi\) | |||||||
\(908\) | 590.637 | + | 134.809i | 0.650482 | + | 0.148468i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −589.558 | + | 938.276i | −0.647866 | + | 1.03107i | ||||
\(911\) | −969.484 | + | 969.484i | −1.06420 | + | 1.06420i | −0.0664049 | + | 0.997793i | \(0.521153\pi\) |
−0.997793 | + | 0.0664049i | \(0.978847\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 152.508 | + | 435.842i | 0.167040 | + | 0.477374i | ||||
\(914\) | −228.766 | + | 80.0488i | −0.250292 | + | 0.0875808i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −200.838 | − | 200.838i | −0.219255 | − | 0.219255i | ||||
\(917\) | −69.9571 | − | 43.9569i | −0.0762891 | − | 0.0479356i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −107.866 | + | 472.593i | −0.117374 | + | 0.514247i | 0.881724 | + | 0.471766i | \(0.156383\pi\) |
−0.999097 | + | 0.0424811i | \(0.986474\pi\) | |||||||
\(920\) | −722.846 | + | 454.195i | −0.785703 | + | 0.493690i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −606.385 | − | 292.019i | −0.657684 | − | 0.316724i | ||||
\(923\) | 68.6324 | − | 33.0516i | 0.0743580 | − | 0.0358089i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −96.1822 | − | 10.8371i | −0.103981 | − | 0.0117158i | ||||
\(926\) | −291.135 | + | 832.016i | −0.314401 | + | 0.898506i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 530.573 | − | 355.426i | 0.571739 | − | 0.383002i | ||||
\(929\) | 500.880 | 0.539160 | 0.269580 | − | 0.962978i | \(-0.413115\pi\) | ||||
0.269580 | + | 0.962978i | \(0.413115\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.08718 | + | 18.5243i | −0.00224187 | + | 0.0198972i | ||||
\(932\) | −137.297 | − | 109.491i | −0.147314 | − | 0.117479i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 811.093 | − | 1684.25i | 0.868408 | − | 1.80327i | ||||
\(935\) | −705.765 | − | 885.002i | −0.754829 | − | 0.946526i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −125.487 | − | 28.6417i | −0.133925 | − | 0.0305674i | 0.155033 | − | 0.987909i | \(-0.450452\pi\) |
−0.288958 | + | 0.957342i | \(0.593309\pi\) | |||||||
\(938\) | 36.3542 | + | 322.653i | 0.0387572 | + | 0.343980i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 161.794 | − | 161.794i | 0.172121 | − | 0.172121i | ||||
\(941\) | −1671.51 | + | 381.511i | −1.77631 | + | 0.405431i | −0.979926 | − | 0.199360i | \(-0.936114\pi\) |
−0.796384 | + | 0.604791i | \(0.793257\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 258.149 | − | 90.3304i | 0.273753 | − | 0.0957904i | ||||
\(944\) | 76.2843 | + | 334.223i | 0.0808097 | + | 0.354050i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 110.158 | + | 69.2169i | 0.116446 | + | 0.0731680i | ||||
\(947\) | −178.516 | + | 20.1139i | −0.188506 | + | 0.0212396i | −0.205713 | − | 0.978612i | \(-0.565951\pi\) |
0.0172065 | + | 0.999852i | \(0.494523\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −717.163 | + | 450.624i | −0.755704 | + | 0.474840i | ||||
\(950\) | 18.5433 | − | 14.7878i | 0.0195193 | − | 0.0155661i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 870.659 | − | 419.287i | 0.914558 | − | 0.440428i | ||||
\(953\) | 540.058 | − | 677.211i | 0.566692 | − | 0.710610i | −0.413087 | − | 0.910692i | \(-0.635549\pi\) |
0.979779 | + | 0.200082i | \(0.0641209\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −206.838 | + | 591.108i | −0.216584 | + | 0.618962i | ||||
\(956\) | − | 441.569i | − | 0.461892i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 970.484 | 1.01303 | ||||||||
\(959\) | −694.218 | − | 242.917i | −0.723898 | − | 0.253303i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −351.235 | − | 280.101i | −0.365489 | − | 0.291468i | ||||
\(962\) | 121.954 | + | 253.240i | 0.126771 | + | 0.263243i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −123.291 | − | 154.603i | −0.127896 | − | 0.160376i | ||||
\(965\) | 619.709 | + | 986.260i | 0.642185 | + | 1.02203i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.1854 | − | 285.653i | −0.0332837 | − | 0.295401i | −0.999316 | − | 0.0369798i | \(-0.988226\pi\) |
0.966032 | − | 0.258421i | \(-0.0832023\pi\) | |||||||
\(968\) | 272.013 | − | 432.907i | 0.281006 | − | 0.447218i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 14.2395 | − | 3.25008i | 0.0146799 | − | 0.00335060i | ||||
\(971\) | 314.882 | + | 899.881i | 0.324286 | + | 0.926757i | 0.984455 | + | 0.175639i | \(0.0561992\pi\) |
−0.660168 | + | 0.751118i | \(0.729515\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −254.583 | − | 1115.40i | −0.261647 | − | 1.14635i | ||||
\(974\) | −1175.15 | − | 1175.15i | −1.20652 | − | 1.20652i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1200.74 | + | 135.291i | −1.23026 | + | 0.138617i | ||||
\(977\) | −7.07897 | + | 31.0150i | −0.00724562 | + | 0.0317451i | −0.978422 | − | 0.206619i | \(-0.933754\pi\) |
0.971176 | + | 0.238364i | \(0.0766111\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −680.215 | + | 542.454i | −0.694806 | + | 0.554090i | ||||
\(980\) | −175.112 | − | 84.3295i | −0.178686 | − | 0.0860505i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 70.7842 | − | 88.7606i | 0.0720817 | − | 0.0903875i | ||||
\(983\) | −336.563 | − | 37.9215i | −0.342383 | − | 0.0385773i | −0.0609010 | − | 0.998144i | \(-0.519397\pi\) |
−0.281482 | + | 0.959567i | \(0.590826\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 315.035i | 0.319833i | ||||||||
\(986\) | 860.709 | − | 1929.61i | 0.872931 | − | 1.95701i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −17.2015 | − | 6.01908i | −0.0174105 | − | 0.00609219i | ||||
\(989\) | 24.6391 | − | 218.678i | 0.0249131 | − | 0.221110i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −325.849 | − | 676.633i | −0.328809 | − | 0.682778i | 0.669381 | − | 0.742919i | \(-0.266559\pi\) |
−0.998190 | + | 0.0601410i | \(0.980845\pi\) | |||||||
\(992\) | 216.147 | − | 448.833i | 0.217890 | − | 0.452452i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −32.5044 | − | 51.7305i | −0.0327006 | − | 0.0520428i | ||||
\(995\) | −3.06359 | − | 0.699245i | −0.00307899 | − | 0.000702759i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 41.4061 | − | 65.8975i | 0.0415307 | − | 0.0660957i | −0.825314 | − | 0.564675i | \(-0.809002\pi\) |
0.866844 | + | 0.498579i | \(0.166145\pi\) | |||||||
\(998\) | 1279.36 | − | 1279.36i | 1.28193 | − | 1.28193i | ||||
\(999\) | 0 | 0 |
(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 | 261.3.s.a.37.3 | 48 | ||
3.2 | odd | 2 | 29.3.f.a.8.2 | ✓ | 48 | ||
29.11 | odd | 28 | inner | 261.3.s.a.127.3 | 48 | ||
87.11 | even | 28 | 29.3.f.a.11.2 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.8.2 | ✓ | 48 | 3.2 | odd | 2 | ||
29.3.f.a.11.2 | yes | 48 | 87.11 | even | 28 | ||
261.3.s.a.37.3 | 48 | 1.1 | even | 1 | trivial | ||
261.3.s.a.127.3 | 48 | 29.11 | odd | 28 | inner |