Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,3,Mod(11,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.r (of order \(6\), degree \(2\), 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: | \(3.43325133094\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 126.11 |
Dual form | 126.3.r.a.23.11 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.41421i | − | 0.707107i | ||||||
\(3\) | −0.991189 | − | 2.83153i | −0.330396 | − | 0.943842i | ||||
\(4\) | −2.00000 | −0.500000 | ||||||||
\(5\) | −6.36825 | − | 3.67671i | −1.27365 | − | 0.735342i | −0.297976 | − | 0.954573i | \(-0.596312\pi\) |
−0.975673 | + | 0.219232i | \(0.929645\pi\) | |||||||
\(6\) | −4.00438 | + | 1.40175i | −0.667397 | + | 0.233625i | ||||
\(7\) | 2.82364 | + | 6.40524i | 0.403377 | + | 0.915034i | ||||
\(8\) | 2.82843i | 0.353553i | ||||||||
\(9\) | −7.03509 | + | 5.61316i | −0.781677 | + | 0.623684i | ||||
\(10\) | −5.19965 | + | 9.00606i | −0.519965 | + | 0.900606i | ||||
\(11\) | 3.62186 | − | 2.09108i | 0.329260 | − | 0.190098i | −0.326253 | − | 0.945283i | \(-0.605786\pi\) |
0.655513 | + | 0.755184i | \(0.272453\pi\) | |||||||
\(12\) | 1.98238 | + | 5.66305i | 0.165198 | + | 0.471921i | ||||
\(13\) | −0.596138 | − | 1.03254i | −0.0458568 | − | 0.0794262i | 0.842186 | − | 0.539187i | \(-0.181268\pi\) |
−0.888043 | + | 0.459761i | \(0.847935\pi\) | |||||||
\(14\) | 9.05837 | − | 3.99323i | 0.647027 | − | 0.285231i | ||||
\(15\) | −4.09856 | + | 21.6762i | −0.273238 | + | 1.44508i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | −17.8385 | − | 10.2991i | −1.04932 | − | 0.605828i | −0.126865 | − | 0.991920i | \(-0.540491\pi\) |
−0.922460 | + | 0.386092i | \(0.873825\pi\) | |||||||
\(18\) | 7.93820 | + | 9.94912i | 0.441011 | + | 0.552729i | ||||
\(19\) | −9.10890 | − | 15.7771i | −0.479416 | − | 0.830373i | 0.520305 | − | 0.853980i | \(-0.325818\pi\) |
−0.999721 | + | 0.0236075i | \(0.992485\pi\) | |||||||
\(20\) | 12.7365 | + | 7.35342i | 0.636825 | + | 0.367671i | ||||
\(21\) | 15.3378 | − | 14.3440i | 0.730373 | − | 0.683048i | ||||
\(22\) | −2.95724 | − | 5.12208i | −0.134420 | − | 0.232822i | ||||
\(23\) | −21.6941 | − | 12.5251i | −0.943221 | − | 0.544569i | −0.0522525 | − | 0.998634i | \(-0.516640\pi\) |
−0.890969 | + | 0.454065i | \(0.849973\pi\) | |||||||
\(24\) | 8.00877 | − | 2.80351i | 0.333699 | − | 0.116813i | ||||
\(25\) | 14.5364 | + | 25.1777i | 0.581455 | + | 1.00711i | ||||
\(26\) | −1.46023 | + | 0.843066i | −0.0561628 | + | 0.0324256i | ||||
\(27\) | 22.8669 | + | 14.3563i | 0.846922 | + | 0.531717i | ||||
\(28\) | −5.64728 | − | 12.8105i | −0.201689 | − | 0.457517i | ||||
\(29\) | −2.85906 | − | 1.65068i | −0.0985884 | − | 0.0569200i | 0.449895 | − | 0.893081i | \(-0.351461\pi\) |
−0.548484 | + | 0.836161i | \(0.684795\pi\) | |||||||
\(30\) | 30.6547 | + | 5.79624i | 1.02182 | + | 0.193208i | ||||
\(31\) | −51.9558 | −1.67599 | −0.837996 | − | 0.545676i | \(-0.816273\pi\) | ||||
−0.837996 | + | 0.545676i | \(0.816273\pi\) | |||||||
\(32\) | − | 5.65685i | − | 0.176777i | ||||||
\(33\) | −9.51090 | − | 8.18274i | −0.288209 | − | 0.247962i | ||||
\(34\) | −14.5651 | + | 25.2275i | −0.428385 | + | 0.741985i | ||||
\(35\) | 5.56856 | − | 51.1718i | 0.159102 | − | 1.46205i | ||||
\(36\) | 14.0702 | − | 11.2263i | 0.390838 | − | 0.311842i | ||||
\(37\) | 9.43150 | + | 16.3358i | 0.254905 | + | 0.441509i | 0.964870 | − | 0.262728i | \(-0.0846223\pi\) |
−0.709964 | + | 0.704238i | \(0.751289\pi\) | |||||||
\(38\) | −22.3122 | + | 12.8819i | −0.587162 | + | 0.338998i | ||||
\(39\) | −2.33278 | + | 2.71142i | −0.0598149 | + | 0.0695237i | ||||
\(40\) | 10.3993 | − | 18.0121i | 0.259983 | − | 0.450303i | ||||
\(41\) | 66.2491 | − | 38.2490i | 1.61583 | − | 0.932901i | 0.627850 | − | 0.778334i | \(-0.283935\pi\) |
0.987982 | − | 0.154567i | \(-0.0493984\pi\) | |||||||
\(42\) | −20.2855 | − | 21.6910i | −0.482988 | − | 0.516452i | ||||
\(43\) | 25.6345 | − | 44.4002i | 0.596151 | − | 1.03256i | −0.397233 | − | 0.917718i | \(-0.630029\pi\) |
0.993383 | − | 0.114845i | \(-0.0366372\pi\) | |||||||
\(44\) | −7.24372 | + | 4.18216i | −0.164630 | + | 0.0950492i | ||||
\(45\) | 65.4391 | − | 9.87999i | 1.45420 | − | 0.219555i | ||||
\(46\) | −17.7131 | + | 30.6801i | −0.385068 | + | 0.666958i | ||||
\(47\) | − | 59.3465i | − | 1.26269i | −0.775501 | − | 0.631346i | \(-0.782503\pi\) | ||
0.775501 | − | 0.631346i | \(-0.217497\pi\) | |||||||
\(48\) | −3.96476 | − | 11.3261i | −0.0825991 | − | 0.235961i | ||||
\(49\) | −33.0541 | + | 36.1722i | −0.674574 | + | 0.738207i | ||||
\(50\) | 35.6067 | − | 20.5575i | 0.712134 | − | 0.411151i | ||||
\(51\) | −11.4808 | + | 60.7186i | −0.225113 | + | 1.19056i | ||||
\(52\) | 1.19228 | + | 2.06508i | 0.0229284 | + | 0.0397131i | ||||
\(53\) | 1.33008 | + | 0.767921i | 0.0250958 | + | 0.0144891i | 0.512495 | − | 0.858690i | \(-0.328721\pi\) |
−0.487400 | + | 0.873179i | \(0.662054\pi\) | |||||||
\(54\) | 20.3029 | − | 32.3387i | 0.375980 | − | 0.598865i | ||||
\(55\) | −30.7532 | −0.559149 | ||||||||
\(56\) | −18.1167 | + | 7.98646i | −0.323513 | + | 0.142615i | ||||
\(57\) | −35.6446 | + | 41.4302i | −0.625344 | + | 0.726845i | ||||
\(58\) | −2.33441 | + | 4.04332i | −0.0402485 | + | 0.0697125i | ||||
\(59\) | 32.0345i | 0.542958i | 0.962444 | + | 0.271479i | \(0.0875128\pi\) | ||||
−0.962444 | + | 0.271479i | \(0.912487\pi\) | |||||||
\(60\) | 8.19713 | − | 43.3523i | 0.136619 | − | 0.722539i | ||||
\(61\) | 111.784 | 1.83253 | 0.916265 | − | 0.400572i | \(-0.131188\pi\) | ||||
0.916265 | + | 0.400572i | \(0.131188\pi\) | |||||||
\(62\) | 73.4766i | 1.18511i | ||||||||
\(63\) | −55.8181 | − | 29.2119i | −0.886002 | − | 0.463681i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 8.76730i | 0.134882i | ||||||||
\(66\) | −11.5721 | + | 13.4504i | −0.175335 | + | 0.203795i | ||||
\(67\) | −28.1640 | −0.420358 | −0.210179 | − | 0.977663i | \(-0.567405\pi\) | ||||
−0.210179 | + | 0.977663i | \(0.567405\pi\) | |||||||
\(68\) | 35.6770 | + | 20.5982i | 0.524662 | + | 0.302914i | ||||
\(69\) | −13.9622 | + | 73.8421i | −0.202350 | + | 1.07018i | ||||
\(70\) | −72.3679 | − | 7.87514i | −1.03383 | − | 0.112502i | ||||
\(71\) | 75.9807i | 1.07015i | 0.844804 | + | 0.535075i | \(0.179717\pi\) | ||||
−0.844804 | + | 0.535075i | \(0.820283\pi\) | |||||||
\(72\) | −15.8764 | − | 19.8982i | −0.220506 | − | 0.276364i | ||||
\(73\) | 31.0717 | − | 53.8177i | 0.425639 | − | 0.737228i | −0.570841 | − | 0.821061i | \(-0.693383\pi\) |
0.996480 | + | 0.0838323i | \(0.0267160\pi\) | |||||||
\(74\) | 23.1024 | − | 13.3382i | 0.312194 | − | 0.180245i | ||||
\(75\) | 56.8831 | − | 66.1160i | 0.758442 | − | 0.881547i | ||||
\(76\) | 18.2178 | + | 31.5542i | 0.239708 | + | 0.415186i | ||||
\(77\) | 23.6207 | + | 17.2944i | 0.306762 | + | 0.224603i | ||||
\(78\) | 3.83453 | + | 3.29905i | 0.0491607 | + | 0.0422955i | ||||
\(79\) | −67.1229 | −0.849656 | −0.424828 | − | 0.905274i | \(-0.639665\pi\) | ||||
−0.424828 | + | 0.905274i | \(0.639665\pi\) | |||||||
\(80\) | −25.4730 | − | 14.7068i | −0.318412 | − | 0.183835i | ||||
\(81\) | 17.9850 | − | 78.9781i | 0.222036 | − | 0.975038i | ||||
\(82\) | −54.0922 | − | 93.6904i | −0.659661 | − | 1.14257i | ||||
\(83\) | −64.7785 | − | 37.3999i | −0.780464 | − | 0.450601i | 0.0561309 | − | 0.998423i | \(-0.482124\pi\) |
−0.836595 | + | 0.547822i | \(0.815457\pi\) | |||||||
\(84\) | −30.6757 | + | 28.6880i | −0.365187 | + | 0.341524i | ||||
\(85\) | 75.7334 | + | 131.174i | 0.890981 | + | 1.54322i | ||||
\(86\) | −62.7914 | − | 36.2526i | −0.730132 | − | 0.421542i | ||||
\(87\) | −1.84007 | + | 9.73165i | −0.0211503 | + | 0.111858i | ||||
\(88\) | 5.91447 | + | 10.2442i | 0.0672099 | + | 0.116411i | ||||
\(89\) | −95.3059 | + | 55.0249i | −1.07085 | + | 0.618257i | −0.928414 | − | 0.371546i | \(-0.878828\pi\) |
−0.142439 | + | 0.989804i | \(0.545494\pi\) | |||||||
\(90\) | −13.9724 | − | 92.5449i | −0.155249 | − | 1.02828i | ||||
\(91\) | 4.93039 | − | 6.73393i | 0.0541801 | − | 0.0739992i | ||||
\(92\) | 43.3882 | + | 25.0502i | 0.471611 | + | 0.272284i | ||||
\(93\) | 51.4980 | + | 147.114i | 0.553742 | + | 1.58187i | ||||
\(94\) | −83.9287 | −0.892858 | ||||||||
\(95\) | 133.963i | 1.41014i | ||||||||
\(96\) | −16.0175 | + | 5.60701i | −0.166849 | + | 0.0584064i | ||||
\(97\) | 14.0865 | − | 24.3986i | 0.145222 | − | 0.251531i | −0.784234 | − | 0.620465i | \(-0.786944\pi\) |
0.929456 | + | 0.368934i | \(0.120277\pi\) | |||||||
\(98\) | 51.1552 | + | 46.7456i | 0.521991 | + | 0.476996i | ||||
\(99\) | −13.7425 | + | 35.0410i | −0.138814 | + | 0.353950i | ||||
\(100\) | −29.0727 | − | 50.3555i | −0.290727 | − | 0.503555i | ||||
\(101\) | −106.654 | + | 61.5768i | −1.05598 | + | 0.609672i | −0.924318 | − | 0.381623i | \(-0.875365\pi\) |
−0.131664 | + | 0.991294i | \(0.542032\pi\) | |||||||
\(102\) | 85.8690 | + | 16.2363i | 0.841853 | + | 0.159179i | ||||
\(103\) | 42.3146 | − | 73.2910i | 0.410821 | − | 0.711563i | −0.584159 | − | 0.811639i | \(-0.698575\pi\) |
0.994980 | + | 0.100077i | \(0.0319088\pi\) | |||||||
\(104\) | 2.92047 | − | 1.68613i | 0.0280814 | − | 0.0162128i | ||||
\(105\) | −150.414 | + | 34.9534i | −1.43251 | + | 0.332890i | ||||
\(106\) | 1.08600 | − | 1.88101i | 0.0102453 | − | 0.0177454i | ||||
\(107\) | 132.511 | − | 76.5054i | 1.23842 | − | 0.715004i | 0.269651 | − | 0.962958i | \(-0.413092\pi\) |
0.968772 | + | 0.247954i | \(0.0797583\pi\) | |||||||
\(108\) | −45.7338 | − | 28.7127i | −0.423461 | − | 0.265858i | ||||
\(109\) | 54.8712 | − | 95.0398i | 0.503406 | − | 0.871925i | −0.496586 | − | 0.867987i | \(-0.665413\pi\) |
0.999992 | − | 0.00393721i | \(-0.00125326\pi\) | |||||||
\(110\) | 43.4916i | 0.395378i | ||||||||
\(111\) | 36.9070 | − | 42.8975i | 0.332495 | − | 0.386464i | ||||
\(112\) | 11.2946 | + | 25.6209i | 0.100844 | + | 0.228758i | ||||
\(113\) | −111.093 | + | 64.1393i | −0.983120 | + | 0.567604i | −0.903211 | − | 0.429198i | \(-0.858796\pi\) |
−0.0799092 | + | 0.996802i | \(0.525463\pi\) | |||||||
\(114\) | 58.5911 | + | 50.4091i | 0.513957 | + | 0.442185i | ||||
\(115\) | 92.1022 | + | 159.526i | 0.800888 | + | 1.38718i | ||||
\(116\) | 5.71812 | + | 3.30136i | 0.0492942 | + | 0.0284600i | ||||
\(117\) | 9.98970 | + | 3.91780i | 0.0853820 | + | 0.0334855i | ||||
\(118\) | 45.3037 | 0.383930 | ||||||||
\(119\) | 15.5985 | − | 143.341i | 0.131080 | − | 1.20454i | ||||
\(120\) | −61.3095 | − | 11.5925i | −0.510912 | − | 0.0966041i | ||||
\(121\) | −51.7548 | + | 89.6419i | −0.427725 | + | 0.740842i | ||||
\(122\) | − | 158.087i | − | 1.29580i | ||||||
\(123\) | −173.968 | − | 149.674i | −1.41438 | − | 1.21686i | ||||
\(124\) | 103.912 | 0.837996 | ||||||||
\(125\) | − | 29.9486i | − | 0.239588i | ||||||
\(126\) | −41.3118 | + | 78.9388i | −0.327872 | + | 0.626498i | ||||
\(127\) | 184.511 | 1.45284 | 0.726422 | − | 0.687249i | \(-0.241182\pi\) | ||||
0.726422 | + | 0.687249i | \(0.241182\pi\) | |||||||
\(128\) | 11.3137i | 0.0883883i | ||||||||
\(129\) | −151.129 | − | 28.5757i | −1.17154 | − | 0.221517i | ||||
\(130\) | 12.3988 | 0.0953757 | ||||||||
\(131\) | −22.0979 | − | 12.7582i | −0.168686 | − | 0.0973908i | 0.413280 | − | 0.910604i | \(-0.364383\pi\) |
−0.581966 | + | 0.813213i | \(0.697716\pi\) | |||||||
\(132\) | 19.0218 | + | 16.3655i | 0.144105 | + | 0.123981i | ||||
\(133\) | 75.3357 | − | 102.893i | 0.566434 | − | 0.773635i | ||||
\(134\) | 39.8299i | 0.297238i | ||||||||
\(135\) | −92.8380 | − | 175.500i | −0.687689 | − | 1.30000i | ||||
\(136\) | 29.1302 | − | 50.4550i | 0.214193 | − | 0.370992i | ||||
\(137\) | 155.974 | − | 90.0518i | 1.13850 | − | 0.657313i | 0.192440 | − | 0.981309i | \(-0.438360\pi\) |
0.946058 | + | 0.323996i | \(0.105026\pi\) | |||||||
\(138\) | 104.429 | + | 19.7455i | 0.756728 | + | 0.143083i | ||||
\(139\) | −90.7540 | − | 157.191i | −0.652906 | − | 1.13087i | −0.982414 | − | 0.186714i | \(-0.940216\pi\) |
0.329508 | − | 0.944153i | \(-0.393117\pi\) | |||||||
\(140\) | −11.1371 | + | 102.344i | −0.0795509 | + | 0.731026i | ||||
\(141\) | −168.041 | + | 58.8236i | −1.19178 | + | 0.417189i | ||||
\(142\) | 107.453 | 0.756711 | ||||||||
\(143\) | −4.31826 | − | 2.49315i | −0.0301976 | − | 0.0174346i | ||||
\(144\) | −28.1404 | + | 22.4526i | −0.195419 | + | 0.155921i | ||||
\(145\) | 12.1381 | + | 21.0239i | 0.0837113 | + | 0.144992i | ||||
\(146\) | −76.1097 | − | 43.9419i | −0.521299 | − | 0.300972i | ||||
\(147\) | 135.185 | + | 57.7402i | 0.919628 | + | 0.392790i | ||||
\(148\) | −18.8630 | − | 32.6717i | −0.127453 | − | 0.220755i | ||||
\(149\) | −8.10894 | − | 4.68170i | −0.0544224 | − | 0.0314208i | 0.472542 | − | 0.881308i | \(-0.343337\pi\) |
−0.526964 | + | 0.849887i | \(0.676670\pi\) | |||||||
\(150\) | −93.5022 | − | 80.4449i | −0.623348 | − | 0.536299i | ||||
\(151\) | −4.14530 | − | 7.17987i | −0.0274523 | − | 0.0475488i | 0.851973 | − | 0.523586i | \(-0.175406\pi\) |
−0.879425 | + | 0.476037i | \(0.842073\pi\) | |||||||
\(152\) | 44.6243 | − | 25.7639i | 0.293581 | − | 0.169499i | ||||
\(153\) | 183.306 | − | 27.6755i | 1.19808 | − | 0.180886i | ||||
\(154\) | 24.4580 | − | 33.4047i | 0.158818 | − | 0.216914i | ||||
\(155\) | 330.867 | + | 191.026i | 2.13463 | + | 1.23243i | ||||
\(156\) | 4.66556 | − | 5.42285i | 0.0299075 | − | 0.0347618i | ||||
\(157\) | 256.152 | 1.63154 | 0.815771 | − | 0.578375i | \(-0.196313\pi\) | ||||
0.815771 | + | 0.578375i | \(0.196313\pi\) | |||||||
\(158\) | 94.9260i | 0.600798i | ||||||||
\(159\) | 0.856030 | − | 4.52731i | 0.00538384 | − | 0.0284736i | ||||
\(160\) | −20.7986 | + | 36.0242i | −0.129991 | + | 0.225151i | ||||
\(161\) | 18.9699 | − | 174.322i | 0.117825 | − | 1.08275i | ||||
\(162\) | −111.692 | − | 25.4346i | −0.689456 | − | 0.157004i | ||||
\(163\) | −100.951 | − | 174.853i | −0.619334 | − | 1.07272i | −0.989607 | − | 0.143795i | \(-0.954069\pi\) |
0.370273 | − | 0.928923i | \(-0.379264\pi\) | |||||||
\(164\) | −132.498 | + | 76.4979i | −0.807916 | + | 0.466451i | ||||
\(165\) | 30.4822 | + | 87.0785i | 0.184741 | + | 0.527749i | ||||
\(166\) | −52.8914 | + | 91.6106i | −0.318623 | + | 0.551871i | ||||
\(167\) | −240.071 | + | 138.605i | −1.43755 | + | 0.829970i | −0.997679 | − | 0.0680908i | \(-0.978309\pi\) |
−0.439871 | + | 0.898061i | \(0.644976\pi\) | |||||||
\(168\) | 40.5710 | + | 43.3820i | 0.241494 | + | 0.258226i | ||||
\(169\) | 83.7892 | − | 145.127i | 0.495794 | − | 0.858741i | ||||
\(170\) | 185.508 | − | 107.103i | 1.09122 | − | 0.630019i | ||||
\(171\) | 152.641 | + | 59.8635i | 0.892639 | + | 0.350079i | ||||
\(172\) | −51.2689 | + | 88.8004i | −0.298075 | + | 0.516282i | ||||
\(173\) | 61.0699i | 0.353005i | 0.984300 | + | 0.176503i | \(0.0564784\pi\) | ||||
−0.984300 | + | 0.176503i | \(0.943522\pi\) | |||||||
\(174\) | 13.7626 | + | 2.60226i | 0.0790956 | + | 0.0149555i | ||||
\(175\) | −120.224 | + | 164.202i | −0.686994 | + | 0.938296i | ||||
\(176\) | 14.4874 | − | 8.36433i | 0.0823150 | − | 0.0475246i | ||||
\(177\) | 90.7067 | − | 31.7523i | 0.512467 | − | 0.179391i | ||||
\(178\) | 77.8169 | + | 134.783i | 0.437174 | + | 0.757207i | ||||
\(179\) | −27.5108 | − | 15.8834i | −0.153692 | − | 0.0887338i | 0.421182 | − | 0.906976i | \(-0.361615\pi\) |
−0.574873 | + | 0.818242i | \(0.694949\pi\) | |||||||
\(180\) | −130.878 | + | 19.7600i | −0.727101 | + | 0.109778i | ||||
\(181\) | −72.7677 | −0.402031 | −0.201016 | − | 0.979588i | \(-0.564424\pi\) | ||||
−0.201016 | + | 0.979588i | \(0.564424\pi\) | |||||||
\(182\) | −9.52321 | − | 6.97263i | −0.0523253 | − | 0.0383111i | ||||
\(183\) | −110.799 | − | 316.521i | −0.605461 | − | 1.72962i | ||||
\(184\) | 35.4263 | − | 61.3601i | 0.192534 | − | 0.333479i | ||||
\(185\) | − | 138.708i | − | 0.749770i | ||||||
\(186\) | 208.051 | − | 72.8292i | 1.11855 | − | 0.391555i | ||||
\(187\) | −86.1448 | −0.460668 | ||||||||
\(188\) | 118.693i | 0.631346i | ||||||||
\(189\) | −27.3879 | + | 187.005i | −0.144910 | + | 0.989445i | ||||
\(190\) | 189.452 | 0.997118 | ||||||||
\(191\) | 308.310i | 1.61419i | 0.590422 | + | 0.807095i | \(0.298961\pi\) | ||||
−0.590422 | + | 0.807095i | \(0.701039\pi\) | |||||||
\(192\) | 7.92951 | + | 22.6522i | 0.0412995 | + | 0.117980i | ||||
\(193\) | −35.4668 | −0.183766 | −0.0918830 | − | 0.995770i | \(-0.529289\pi\) | ||||
−0.0918830 | + | 0.995770i | \(0.529289\pi\) | |||||||
\(194\) | −34.5048 | − | 19.9213i | −0.177860 | − | 0.102687i | ||||
\(195\) | 24.8248 | − | 8.69005i | 0.127307 | − | 0.0445644i | ||||
\(196\) | 66.1082 | − | 72.3443i | 0.337287 | − | 0.369104i | ||||
\(197\) | − | 83.3940i | − | 0.423320i | −0.977343 | − | 0.211660i | \(-0.932113\pi\) | ||
0.977343 | − | 0.211660i | \(-0.0678869\pi\) | |||||||
\(198\) | 49.5555 | + | 19.4349i | 0.250280 | + | 0.0981560i | ||||
\(199\) | −103.081 | + | 178.541i | −0.517993 | + | 0.897190i | 0.481789 | + | 0.876287i | \(0.339987\pi\) |
−0.999782 | + | 0.0209024i | \(0.993346\pi\) | |||||||
\(200\) | −71.2134 | + | 41.1151i | −0.356067 | + | 0.205575i | ||||
\(201\) | 27.9159 | + | 79.7472i | 0.138885 | + | 0.396752i | ||||
\(202\) | 87.0828 | + | 150.832i | 0.431103 | + | 0.746692i | ||||
\(203\) | 2.50004 | − | 22.9739i | 0.0123155 | − | 0.113172i | ||||
\(204\) | 22.9615 | − | 121.437i | 0.112557 | − | 0.595280i | ||||
\(205\) | −562.521 | −2.74401 | ||||||||
\(206\) | −103.649 | − | 59.8418i | −0.503151 | − | 0.290494i | ||||
\(207\) | 222.925 | − | 33.6572i | 1.07693 | − | 0.162595i | ||||
\(208\) | −2.38455 | − | 4.13016i | −0.0114642 | − | 0.0198566i | ||||
\(209\) | −65.9824 | − | 38.0949i | −0.315705 | − | 0.182272i | ||||
\(210\) | 49.4316 | + | 212.717i | 0.235389 | + | 1.01294i | ||||
\(211\) | −130.471 | − | 225.982i | −0.618345 | − | 1.07100i | −0.989788 | − | 0.142549i | \(-0.954470\pi\) |
0.371443 | − | 0.928456i | \(-0.378863\pi\) | |||||||
\(212\) | −2.66016 | − | 1.53584i | −0.0125479 | − | 0.00724454i | ||||
\(213\) | 215.141 | − | 75.3112i | 1.01005 | − | 0.353574i | ||||
\(214\) | −108.195 | − | 187.399i | −0.505584 | − | 0.875697i | ||||
\(215\) | −326.493 | + | 188.501i | −1.51857 | + | 0.876749i | ||||
\(216\) | −40.6059 | + | 64.6774i | −0.187990 | + | 0.299432i | ||||
\(217\) | −146.704 | − | 332.789i | −0.676057 | − | 1.53359i | ||||
\(218\) | −134.407 | − | 77.5996i | −0.616544 | − | 0.355962i | ||||
\(219\) | −183.184 | − | 34.6367i | −0.836457 | − | 0.158159i | ||||
\(220\) | 61.5064 | 0.279575 | ||||||||
\(221\) | 24.5587i | 0.111125i | ||||||||
\(222\) | −60.6662 | − | 52.1943i | −0.273271 | − | 0.235110i | ||||
\(223\) | −39.9500 | + | 69.1954i | −0.179148 | + | 0.310293i | −0.941589 | − | 0.336764i | \(-0.890667\pi\) |
0.762441 | + | 0.647058i | \(0.224001\pi\) | |||||||
\(224\) | 36.2335 | − | 15.9729i | 0.161757 | − | 0.0713077i | ||||
\(225\) | −243.591 | − | 95.5327i | −1.08263 | − | 0.424590i | ||||
\(226\) | 90.7067 | + | 157.109i | 0.401357 | + | 0.695171i | ||||
\(227\) | 21.4405 | − | 12.3787i | 0.0944515 | − | 0.0545316i | −0.452030 | − | 0.892003i | \(-0.649300\pi\) |
0.546482 | + | 0.837471i | \(0.315967\pi\) | |||||||
\(228\) | 71.2892 | − | 82.8604i | 0.312672 | − | 0.363423i | ||||
\(229\) | −34.1974 | + | 59.2317i | −0.149334 | + | 0.258654i | −0.930981 | − | 0.365067i | \(-0.881046\pi\) |
0.781648 | + | 0.623720i | \(0.214380\pi\) | |||||||
\(230\) | 225.603 | − | 130.252i | 0.980884 | − | 0.566314i | ||||
\(231\) | 25.5570 | − | 84.0247i | 0.110636 | − | 0.363743i | ||||
\(232\) | 4.66883 | − | 8.08665i | 0.0201243 | − | 0.0348562i | ||||
\(233\) | 87.0618 | − | 50.2652i | 0.373656 | − | 0.215730i | −0.301399 | − | 0.953498i | \(-0.597453\pi\) |
0.675054 | + | 0.737768i | \(0.264120\pi\) | |||||||
\(234\) | 5.54061 | − | 14.1276i | 0.0236778 | − | 0.0603742i | ||||
\(235\) | −218.200 | + | 377.933i | −0.928510 | + | 1.60823i | ||||
\(236\) | − | 64.0691i | − | 0.271479i | ||||||
\(237\) | 66.5314 | + | 190.060i | 0.280723 | + | 0.801942i | ||||
\(238\) | −202.715 | − | 22.0596i | −0.851742 | − | 0.0926873i | ||||
\(239\) | 65.7064 | − | 37.9356i | 0.274922 | − | 0.158726i | −0.356200 | − | 0.934410i | \(-0.615928\pi\) |
0.631122 | + | 0.775683i | \(0.282595\pi\) | |||||||
\(240\) | −16.3943 | + | 86.7047i | −0.0683094 | + | 0.361270i | ||||
\(241\) | 200.746 | + | 347.701i | 0.832969 | + | 1.44274i | 0.895673 | + | 0.444713i | \(0.146694\pi\) |
−0.0627043 | + | 0.998032i | \(0.519973\pi\) | |||||||
\(242\) | 126.773 | + | 73.1923i | 0.523854 | + | 0.302447i | ||||
\(243\) | −241.455 | + | 27.3573i | −0.993642 | + | 0.112582i | ||||
\(244\) | −223.569 | −0.916265 | ||||||||
\(245\) | 343.491 | − | 108.823i | 1.40201 | − | 0.444175i | ||||
\(246\) | −211.671 | + | 246.028i | −0.860453 | + | 1.00012i | ||||
\(247\) | −10.8603 | + | 18.8106i | −0.0439689 | + | 0.0761564i | ||||
\(248\) | − | 146.953i | − | 0.592553i | ||||||
\(249\) | −41.6910 | + | 220.492i | −0.167434 | + | 0.885512i | ||||
\(250\) | −42.3536 | −0.169415 | ||||||||
\(251\) | − | 230.144i | − | 0.916910i | −0.888718 | − | 0.458455i | \(-0.848403\pi\) | ||
0.888718 | − | 0.458455i | \(-0.151597\pi\) | |||||||
\(252\) | 111.636 | + | 58.4238i | 0.443001 | + | 0.231840i | ||||
\(253\) | −104.764 | −0.414087 | ||||||||
\(254\) | − | 260.938i | − | 1.02732i | ||||||
\(255\) | 296.357 | − | 344.459i | 1.16218 | − | 1.35082i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 216.346 | + | 124.907i | 0.841813 | + | 0.486021i | 0.857880 | − | 0.513850i | \(-0.171781\pi\) |
−0.0160667 | + | 0.999871i | \(0.505114\pi\) | |||||||
\(258\) | −40.4122 | + | 213.729i | −0.156636 | + | 0.828406i | ||||
\(259\) | −78.0038 | + | 106.538i | −0.301173 | + | 0.411342i | ||||
\(260\) | − | 17.5346i | − | 0.0674408i | ||||||
\(261\) | 29.3793 | − | 4.43568i | 0.112564 | − | 0.0169949i | ||||
\(262\) | −18.0428 | + | 31.2511i | −0.0688657 | + | 0.119279i | ||||
\(263\) | −39.4454 | + | 22.7738i | −0.149982 | + | 0.0865924i | −0.573113 | − | 0.819476i | \(-0.694264\pi\) |
0.423131 | + | 0.906069i | \(0.360931\pi\) | |||||||
\(264\) | 23.1443 | − | 26.9009i | 0.0876677 | − | 0.101897i | ||||
\(265\) | −5.64684 | − | 9.78062i | −0.0213088 | − | 0.0369080i | ||||
\(266\) | −145.513 | − | 106.541i | −0.547043 | − | 0.400529i | ||||
\(267\) | 250.271 | + | 215.321i | 0.937343 | + | 0.806446i | ||||
\(268\) | 56.3280 | 0.210179 | ||||||||
\(269\) | −141.279 | − | 81.5677i | −0.525202 | − | 0.303226i | 0.213858 | − | 0.976865i | \(-0.431397\pi\) |
−0.739060 | + | 0.673639i | \(0.764730\pi\) | |||||||
\(270\) | −248.194 | + | 131.293i | −0.919237 | + | 0.486269i | ||||
\(271\) | 124.879 | + | 216.297i | 0.460808 | + | 0.798143i | 0.999001 | − | 0.0446784i | \(-0.0142263\pi\) |
−0.538193 | + | 0.842821i | \(0.680893\pi\) | |||||||
\(272\) | −71.3541 | − | 41.1963i | −0.262331 | − | 0.151457i | ||||
\(273\) | −23.9542 | − | 7.28594i | −0.0877445 | − | 0.0266884i | ||||
\(274\) | −127.353 | − | 220.581i | −0.464790 | − | 0.805040i | ||||
\(275\) | 105.297 | + | 60.7935i | 0.382900 | + | 0.221067i | ||||
\(276\) | 27.9244 | − | 147.684i | 0.101175 | − | 0.535088i | ||||
\(277\) | 110.900 | + | 192.085i | 0.400363 | + | 0.693449i | 0.993770 | − | 0.111454i | \(-0.0355508\pi\) |
−0.593407 | + | 0.804903i | \(0.702217\pi\) | |||||||
\(278\) | −222.301 | + | 128.346i | −0.799644 | + | 0.461675i | ||||
\(279\) | 365.514 | − | 291.636i | 1.31008 | − | 1.04529i | ||||
\(280\) | 144.736 | + | 15.7503i | 0.516913 | + | 0.0562510i | ||||
\(281\) | −45.2239 | − | 26.1100i | −0.160939 | − | 0.0929183i | 0.417367 | − | 0.908738i | \(-0.362953\pi\) |
−0.578306 | + | 0.815820i | \(0.696286\pi\) | |||||||
\(282\) | 83.1892 | + | 237.646i | 0.294997 | + | 0.842717i | ||||
\(283\) | −221.358 | −0.782185 | −0.391093 | − | 0.920351i | \(-0.627903\pi\) | ||||
−0.391093 | + | 0.920351i | \(0.627903\pi\) | |||||||
\(284\) | − | 151.961i | − | 0.535075i | ||||||
\(285\) | 379.320 | − | 132.783i | 1.33095 | − | 0.465904i | ||||
\(286\) | −3.52584 | + | 6.10694i | −0.0123281 | + | 0.0213529i | ||||
\(287\) | 432.057 | + | 316.340i | 1.50543 | + | 1.10223i | ||||
\(288\) | 31.7528 | + | 39.7965i | 0.110253 | + | 0.138182i | ||||
\(289\) | 67.6419 | + | 117.159i | 0.234055 | + | 0.405395i | ||||
\(290\) | 29.7323 | − | 17.1659i | 0.102525 | − | 0.0591928i | ||||
\(291\) | −83.0476 | − | 15.7028i | −0.285387 | − | 0.0539614i | ||||
\(292\) | −62.1433 | + | 107.635i | −0.212820 | + | 0.368614i | ||||
\(293\) | 85.2950 | − | 49.2451i | 0.291109 | − | 0.168072i | −0.347333 | − | 0.937742i | \(-0.612913\pi\) |
0.638442 | + | 0.769670i | \(0.279579\pi\) | |||||||
\(294\) | 81.6570 | − | 191.181i | 0.277745 | − | 0.650275i | ||||
\(295\) | 117.782 | − | 204.004i | 0.399260 | − | 0.691538i | ||||
\(296\) | −46.2047 | + | 26.6763i | −0.156097 | + | 0.0901227i | ||||
\(297\) | 112.841 | + | 4.18010i | 0.379936 | + | 0.0140744i | ||||
\(298\) | −6.62092 | + | 11.4678i | −0.0222179 | + | 0.0384825i | ||||
\(299\) | 29.8667i | 0.0998887i | ||||||||
\(300\) | −113.766 | + | 132.232i | −0.379221 | + | 0.440773i | ||||
\(301\) | 356.776 | + | 38.8247i | 1.18530 | + | 0.128986i | ||||
\(302\) | −10.1539 | + | 5.86234i | −0.0336221 | + | 0.0194117i | ||||
\(303\) | 280.071 | + | 240.960i | 0.924326 | + | 0.795247i | ||||
\(304\) | −36.4356 | − | 63.1083i | −0.119854 | − | 0.207593i | ||||
\(305\) | −711.870 | − | 410.999i | −2.33400 | − | 1.34754i | ||||
\(306\) | −39.1391 | − | 259.234i | −0.127905 | − | 0.847169i | ||||
\(307\) | 64.4159 | 0.209824 | 0.104912 | − | 0.994482i | \(-0.466544\pi\) | ||||
0.104912 | + | 0.994482i | \(0.466544\pi\) | |||||||
\(308\) | −47.2414 | − | 34.5888i | −0.153381 | − | 0.112301i | ||||
\(309\) | −249.467 | − | 47.1696i | −0.807337 | − | 0.152652i | ||||
\(310\) | 270.152 | − | 467.917i | 0.871458 | − | 1.50941i | ||||
\(311\) | 137.494i | 0.442102i | 0.975262 | + | 0.221051i | \(0.0709488\pi\) | ||||
−0.975262 | + | 0.221051i | \(0.929051\pi\) | |||||||
\(312\) | −7.66906 | − | 6.59811i | −0.0245803 | − | 0.0211478i | ||||
\(313\) | 58.0528 | 0.185472 | 0.0927360 | − | 0.995691i | \(-0.470439\pi\) | ||||
0.0927360 | + | 0.995691i | \(0.470439\pi\) | |||||||
\(314\) | − | 362.254i | − | 1.15367i | ||||||
\(315\) | 248.060 | + | 391.256i | 0.787492 | + | 1.24208i | ||||
\(316\) | 134.246 | 0.424828 | ||||||||
\(317\) | − | 250.573i | − | 0.790451i | −0.918584 | − | 0.395226i | \(-0.870666\pi\) | ||
0.918584 | − | 0.395226i | \(-0.129334\pi\) | |||||||
\(318\) | −6.40258 | − | 1.21061i | −0.0201339 | − | 0.00380695i | ||||
\(319\) | −13.8068 | −0.0432816 | ||||||||
\(320\) | 50.9460 | + | 29.4137i | 0.159206 | + | 0.0919177i | ||||
\(321\) | −347.971 | − | 299.378i | −1.08402 | − | 0.932641i | ||||
\(322\) | −246.529 | − | 26.8275i | −0.765617 | − | 0.0833151i | ||||
\(323\) | 375.253i | 1.16177i | ||||||||
\(324\) | −35.9699 | + | 157.956i | −0.111018 | + | 0.487519i | ||||
\(325\) | 17.3314 | − | 30.0188i | 0.0533273 | − | 0.0923655i | ||||
\(326\) | −247.280 | + | 142.767i | −0.758526 | + | 0.437935i | ||||
\(327\) | −323.495 | − | 61.1670i | −0.989283 | − | 0.187055i | ||||
\(328\) | 108.184 | + | 187.381i | 0.329830 | + | 0.571283i | ||||
\(329\) | 380.129 | − | 167.573i | 1.15541 | − | 0.509341i | ||||
\(330\) | 123.148 | − | 43.1084i | 0.373175 | − | 0.130631i | ||||
\(331\) | 9.70718 | 0.0293268 | 0.0146634 | − | 0.999892i | \(-0.495332\pi\) | ||||
0.0146634 | + | 0.999892i | \(0.495332\pi\) | |||||||
\(332\) | 129.557 | + | 74.7998i | 0.390232 | + | 0.225300i | ||||
\(333\) | −158.047 | − | 61.9836i | −0.474616 | − | 0.186137i | ||||
\(334\) | 196.017 | + | 339.512i | 0.586877 | + | 1.01650i | ||||
\(335\) | 179.355 | + | 103.551i | 0.535389 | + | 0.309107i | ||||
\(336\) | 61.3514 | − | 57.3760i | 0.182593 | − | 0.170762i | ||||
\(337\) | −161.035 | − | 278.920i | −0.477848 | − | 0.827656i | 0.521830 | − | 0.853050i | \(-0.325250\pi\) |
−0.999678 | + | 0.0253933i | \(0.991916\pi\) | |||||||
\(338\) | −205.241 | − | 118.496i | −0.607222 | − | 0.350580i | ||||
\(339\) | 291.726 | + | 250.987i | 0.860548 | + | 0.740376i | ||||
\(340\) | −151.467 | − | 262.348i | −0.445491 | − | 0.771612i | ||||
\(341\) | −188.177 | + | 108.644i | −0.551837 | + | 0.318604i | ||||
\(342\) | 84.6598 | − | 215.867i | 0.247543 | − | 0.631191i | ||||
\(343\) | −325.024 | − | 109.582i | −0.947592 | − | 0.319482i | ||||
\(344\) | 125.583 | + | 72.5052i | 0.365066 | + | 0.210771i | ||||
\(345\) | 360.410 | − | 418.910i | 1.04467 | − | 1.21423i | ||||
\(346\) | 86.3659 | 0.249612 | ||||||||
\(347\) | − | 540.407i | − | 1.55737i | −0.627415 | − | 0.778685i | \(-0.715887\pi\) | ||
0.627415 | − | 0.778685i | \(-0.284113\pi\) | |||||||
\(348\) | 3.68015 | − | 19.4633i | 0.0105751 | − | 0.0559290i | ||||
\(349\) | 64.0391 | − | 110.919i | 0.183493 | − | 0.317820i | −0.759575 | − | 0.650420i | \(-0.774593\pi\) |
0.943068 | + | 0.332601i | \(0.107926\pi\) | |||||||
\(350\) | 232.216 | + | 170.022i | 0.663475 | + | 0.485778i | ||||
\(351\) | 1.19169 | − | 32.1694i | 0.00339512 | − | 0.0916506i | ||||
\(352\) | −11.8289 | − | 20.4883i | −0.0336050 | − | 0.0582055i | ||||
\(353\) | −391.328 | + | 225.933i | −1.10858 | + | 0.640038i | −0.938461 | − | 0.345386i | \(-0.887748\pi\) |
−0.170118 | + | 0.985424i | \(0.554415\pi\) | |||||||
\(354\) | −44.9045 | − | 128.279i | −0.126849 | − | 0.362369i | ||||
\(355\) | 279.359 | − | 483.864i | 0.786926 | − | 1.36300i | ||||
\(356\) | 190.612 | − | 110.050i | 0.535426 | − | 0.309129i | ||||
\(357\) | −421.334 | + | 97.9104i | −1.18021 | + | 0.274259i | ||||
\(358\) | −22.4625 | + | 38.9061i | −0.0627443 | + | 0.108676i | ||||
\(359\) | 328.357 | − | 189.577i | 0.914643 | − | 0.528069i | 0.0327206 | − | 0.999465i | \(-0.489583\pi\) |
0.881922 | + | 0.471395i | \(0.156250\pi\) | |||||||
\(360\) | 27.9448 | + | 185.090i | 0.0776245 | + | 0.514138i | ||||
\(361\) | 14.5557 | − | 25.2113i | 0.0403206 | − | 0.0698374i | ||||
\(362\) | 102.909i | 0.284279i | ||||||||
\(363\) | 305.122 | + | 57.6930i | 0.840557 | + | 0.158934i | ||||
\(364\) | −9.86078 | + | 13.4679i | −0.0270901 | + | 0.0369996i | ||||
\(365\) | −395.744 | + | 228.483i | −1.08423 | + | 0.625980i | ||||
\(366\) | −447.628 | + | 156.694i | −1.22303 | + | 0.428126i | ||||
\(367\) | −239.155 | − | 414.229i | −0.651650 | − | 1.12869i | −0.982722 | − | 0.185085i | \(-0.940744\pi\) |
0.331073 | − | 0.943605i | \(-0.392589\pi\) | |||||||
\(368\) | −86.7763 | − | 50.1003i | −0.235805 | − | 0.136142i | ||||
\(369\) | −251.371 | + | 640.952i | −0.681223 | + | 1.73700i | ||||
\(370\) | −196.162 | −0.530168 | ||||||||
\(371\) | −1.16306 | + | 10.6878i | −0.00313492 | + | 0.0288081i | ||||
\(372\) | −102.996 | − | 294.228i | −0.276871 | − | 0.790936i | ||||
\(373\) | 112.582 | − | 194.997i | 0.301828 | − | 0.522781i | −0.674722 | − | 0.738072i | \(-0.735737\pi\) |
0.976550 | + | 0.215291i | \(0.0690700\pi\) | |||||||
\(374\) | 121.827i | 0.325741i | ||||||||
\(375\) | −84.8001 | + | 29.6847i | −0.226134 | + | 0.0791591i | ||||
\(376\) | 167.857 | 0.446429 | ||||||||
\(377\) | 3.93613i | 0.0104407i | ||||||||
\(378\) | 264.465 | + | 38.7324i | 0.699643 | + | 0.102467i | ||||
\(379\) | −88.5871 | −0.233739 | −0.116869 | − | 0.993147i | \(-0.537286\pi\) | ||||
−0.116869 | + | 0.993147i | \(0.537286\pi\) | |||||||
\(380\) | − | 267.926i | − | 0.705069i | ||||||
\(381\) | −182.885 | − | 522.448i | −0.480014 | − | 1.37125i | ||||
\(382\) | 436.016 | 1.14140 | ||||||||
\(383\) | 37.1766 | + | 21.4639i | 0.0970669 | + | 0.0560416i | 0.547748 | − | 0.836644i | \(-0.315485\pi\) |
−0.450681 | + | 0.892685i | \(0.648819\pi\) | |||||||
\(384\) | 32.0351 | − | 11.2140i | 0.0834247 | − | 0.0292032i | ||||
\(385\) | −86.8359 | − | 196.982i | −0.225548 | − | 0.511640i | ||||
\(386\) | 50.1577i | 0.129942i | ||||||||
\(387\) | 68.8845 | + | 456.250i | 0.177996 | + | 1.17894i | ||||
\(388\) | −28.1730 | + | 48.7971i | −0.0726109 | + | 0.125766i | ||||
\(389\) | 120.250 | − | 69.4262i | 0.309125 | − | 0.178473i | −0.337410 | − | 0.941358i | \(-0.609551\pi\) |
0.646535 | + | 0.762884i | \(0.276217\pi\) | |||||||
\(390\) | −12.2896 | − | 35.1076i | −0.0315118 | − | 0.0900196i | ||||
\(391\) | 257.994 | + | 446.858i | 0.659830 | + | 1.14286i | ||||
\(392\) | −102.310 | − | 93.4912i | −0.260996 | − | 0.238498i | ||||
\(393\) | −14.2220 | + | 75.2164i | −0.0361884 | + | 0.191390i | ||||
\(394\) | −117.937 | −0.299332 | ||||||||
\(395\) | 427.455 | + | 246.791i | 1.08216 | + | 0.624788i | ||||
\(396\) | 27.4851 | − | 70.0820i | 0.0694068 | − | 0.176975i | ||||
\(397\) | 232.398 | + | 402.525i | 0.585385 | + | 1.01392i | 0.994827 | + | 0.101581i | \(0.0323900\pi\) |
−0.409442 | + | 0.912336i | \(0.634277\pi\) | |||||||
\(398\) | 252.495 | + | 145.778i | 0.634409 | + | 0.366276i | ||||
\(399\) | −366.018 | − | 111.328i | −0.917337 | − | 0.279018i | ||||
\(400\) | 58.1455 | + | 100.711i | 0.145364 | + | 0.251777i | ||||
\(401\) | −42.7264 | − | 24.6681i | −0.106550 | − | 0.0615165i | 0.445778 | − | 0.895143i | \(-0.352927\pi\) |
−0.552328 | + | 0.833627i | \(0.686260\pi\) | |||||||
\(402\) | 112.780 | − | 39.4790i | 0.280546 | − | 0.0982064i | ||||
\(403\) | 30.9728 | + | 53.6465i | 0.0768556 | + | 0.133118i | ||||
\(404\) | 213.308 | − | 123.154i | 0.527991 | − | 0.304836i | ||||
\(405\) | −404.912 | + | 436.827i | −0.999783 | + | 1.07858i | ||||
\(406\) | −32.4900 | − | 3.53559i | −0.0800246 | − | 0.00870835i | ||||
\(407\) | 68.3192 | + | 39.4441i | 0.167860 | + | 0.0969142i | ||||
\(408\) | −171.738 | − | 32.4725i | −0.420927 | − | 0.0795895i | ||||
\(409\) | −124.959 | −0.305523 | −0.152761 | − | 0.988263i | \(-0.548817\pi\) | ||||
−0.152761 | + | 0.988263i | \(0.548817\pi\) | |||||||
\(410\) | 795.525i | 1.94030i | ||||||||
\(411\) | −409.584 | − | 352.387i | −0.996555 | − | 0.857390i | ||||
\(412\) | −84.6291 | + | 146.582i | −0.205410 | + | 0.355781i | ||||
\(413\) | −205.189 | + | 90.4540i | −0.496825 | + | 0.219017i | ||||
\(414\) | −47.5985 | − | 315.264i | −0.114972 | − | 0.761506i | ||||
\(415\) | 275.017 | + | 476.343i | 0.662691 | + | 1.14782i | ||||
\(416\) | −5.84093 | + | 3.37226i | −0.0140407 | + | 0.00810641i | ||||
\(417\) | −355.135 | + | 412.778i | −0.851642 | + | 0.989875i | ||||
\(418\) | −53.8744 | + | 93.3131i | −0.128886 | + | 0.223237i | ||||
\(419\) | −584.499 | + | 337.461i | −1.39499 | + | 0.805395i | −0.993862 | − | 0.110628i | \(-0.964714\pi\) |
−0.401124 | + | 0.916024i | \(0.631380\pi\) | |||||||
\(420\) | 300.828 | − | 69.9068i | 0.716257 | − | 0.166445i | ||||
\(421\) | 7.77481 | − | 13.4664i | 0.0184675 | − | 0.0319866i | −0.856644 | − | 0.515908i | \(-0.827455\pi\) |
0.875111 | + | 0.483921i | \(0.160788\pi\) | |||||||
\(422\) | −319.587 | + | 184.513i | −0.757314 | + | 0.437236i | ||||
\(423\) | 333.121 | + | 417.508i | 0.787521 | + | 0.987017i | ||||
\(424\) | −2.17201 | + | 3.76203i | −0.00512266 | + | 0.00887271i | ||||
\(425\) | − | 598.845i | − | 1.40905i | ||||||
\(426\) | −106.506 | − | 304.256i | −0.250014 | − | 0.714216i | ||||
\(427\) | 315.639 | + | 716.006i | 0.739201 | + | 1.67683i | ||||
\(428\) | −265.022 | + | 153.011i | −0.619211 | + | 0.357502i | ||||
\(429\) | −2.77920 | + | 14.6984i | −0.00647833 | + | 0.0342621i | ||||
\(430\) | 266.581 | + | 461.731i | 0.619955 | + | 1.07379i | ||||
\(431\) | 257.966 | + | 148.937i | 0.598530 | + | 0.345561i | 0.768463 | − | 0.639894i | \(-0.221022\pi\) |
−0.169933 | + | 0.985456i | \(0.554355\pi\) | |||||||
\(432\) | 91.4676 | + | 57.4254i | 0.211731 | + | 0.132929i | ||||
\(433\) | 193.183 | 0.446151 | 0.223076 | − | 0.974801i | \(-0.428390\pi\) | ||||
0.223076 | + | 0.974801i | \(0.428390\pi\) | |||||||
\(434\) | −470.635 | + | 207.471i | −1.08441 | + | 0.478044i | ||||
\(435\) | 47.4985 | − | 55.2081i | 0.109192 | − | 0.126915i | ||||
\(436\) | −109.742 | + | 190.080i | −0.251703 | + | 0.435962i | ||||
\(437\) | 456.359i | 1.04430i | ||||||||
\(438\) | −48.9837 | + | 259.061i | −0.111835 | + | 0.591464i | ||||
\(439\) | −787.361 | −1.79353 | −0.896767 | − | 0.442503i | \(-0.854090\pi\) | ||||
−0.896767 | + | 0.442503i | \(0.854090\pi\) | |||||||
\(440\) | − | 86.9832i | − | 0.197689i | ||||||
\(441\) | 29.4987 | − | 440.012i | 0.0668906 | − | 0.997760i | ||||
\(442\) | 34.7312 | 0.0785774 | ||||||||
\(443\) | − | 303.517i | − | 0.685140i | −0.939492 | − | 0.342570i | \(-0.888703\pi\) | ||
0.939492 | − | 0.342570i | \(-0.111297\pi\) | |||||||
\(444\) | −73.8139 | + | 85.7949i | −0.166248 | + | 0.193232i | ||||
\(445\) | 809.242 | 1.81852 | ||||||||
\(446\) | 97.8571 | + | 56.4978i | 0.219410 | + | 0.126677i | ||||
\(447\) | −5.21887 | + | 27.6011i | −0.0116753 | + | 0.0617475i | ||||
\(448\) | −22.5891 | − | 51.2419i | −0.0504221 | − | 0.114379i | ||||
\(449\) | 195.191i | 0.434723i | 0.976091 | + | 0.217362i | \(0.0697451\pi\) | ||||
−0.976091 | + | 0.217362i | \(0.930255\pi\) | |||||||
\(450\) | −135.104 | + | 344.490i | −0.300230 | + | 0.765533i | ||||
\(451\) | 159.963 | − | 277.065i | 0.354686 | − | 0.614334i | ||||
\(452\) | 222.185 | − | 128.279i | 0.491560 | − | 0.283802i | ||||
\(453\) | −16.2212 | + | 18.8541i | −0.0358085 | + | 0.0416206i | ||||
\(454\) | −17.5061 | − | 30.3214i | −0.0385597 | − | 0.0667873i | ||||
\(455\) | −56.1566 | + | 24.7557i | −0.123421 | + | 0.0544081i | ||||
\(456\) | −117.182 | − | 100.818i | −0.256979 | − | 0.221092i | ||||
\(457\) | −808.848 | −1.76991 | −0.884954 | − | 0.465678i | \(-0.845810\pi\) | ||||
−0.884954 | + | 0.465678i | \(0.845810\pi\) | |||||||
\(458\) | 83.7662 | + | 48.3624i | 0.182896 | + | 0.105595i | ||||
\(459\) | −260.055 | − | 491.604i | −0.566568 | − | 1.07103i | ||||
\(460\) | −184.204 | − | 319.051i | −0.400444 | − | 0.693590i | ||||
\(461\) | −29.3032 | − | 16.9182i | −0.0635643 | − | 0.0366989i | 0.467881 | − | 0.883791i | \(-0.345018\pi\) |
−0.531445 | + | 0.847093i | \(0.678351\pi\) | |||||||
\(462\) | −118.829 | − | 36.1431i | −0.257205 | − | 0.0782318i | ||||
\(463\) | −266.892 | − | 462.270i | −0.576440 | − | 0.998424i | −0.995884 | − | 0.0906421i | \(-0.971108\pi\) |
0.419443 | − | 0.907781i | \(-0.362225\pi\) | |||||||
\(464\) | −11.4362 | − | 6.60272i | −0.0246471 | − | 0.0142300i | ||||
\(465\) | 212.944 | − | 1126.20i | 0.457944 | − | 2.42194i | ||||
\(466\) | −71.0857 | − | 123.124i | −0.152544 | − | 0.264215i | ||||
\(467\) | 311.027 | − | 179.571i | 0.666010 | − | 0.384521i | −0.128553 | − | 0.991703i | \(-0.541033\pi\) |
0.794563 | + | 0.607182i | \(0.207700\pi\) | |||||||
\(468\) | −19.9794 | − | 7.83561i | −0.0426910 | − | 0.0167427i | ||||
\(469\) | −79.5250 | − | 180.397i | −0.169563 | − | 0.384642i | ||||
\(470\) | 534.478 | + | 308.581i | 1.13719 | + | 0.656556i | ||||
\(471\) | −253.895 | − | 725.301i | −0.539055 | − | 1.53992i | ||||
\(472\) | −90.6074 | −0.191965 | ||||||||
\(473\) | − | 214.415i | − | 0.453309i | ||||||
\(474\) | 268.786 | − | 94.0896i | 0.567058 | − | 0.198501i | ||||
\(475\) | 264.821 | − | 458.683i | 0.557517 | − | 0.965649i | ||||
\(476\) | −31.1969 | + | 286.682i | −0.0655398 | + | 0.602272i | ||||
\(477\) | −13.6677 | + | 2.06354i | −0.0286534 | + | 0.00432609i | ||||
\(478\) | −53.6490 | − | 92.9228i | −0.112236 | − | 0.194399i | ||||
\(479\) | −185.500 | + | 107.099i | −0.387266 | + | 0.223588i | −0.680975 | − | 0.732307i | \(-0.738444\pi\) |
0.293709 | + | 0.955895i | \(0.405110\pi\) | |||||||
\(480\) | 122.619 | + | 23.1850i | 0.255456 | + | 0.0483020i | ||||
\(481\) | 11.2449 | − | 19.4768i | 0.0233783 | − | 0.0404924i | ||||
\(482\) | 491.724 | − | 283.897i | 1.02017 | − | 0.588998i | ||||
\(483\) | −512.400 | + | 119.072i | −1.06087 | + | 0.246527i | ||||
\(484\) | 103.510 | − | 179.284i | 0.213863 | − | 0.370421i | ||||
\(485\) | −179.413 | + | 103.584i | −0.369923 | + | 0.213575i | ||||
\(486\) | 38.6891 | + | 341.469i | 0.0796072 | + | 0.702611i | ||||
\(487\) | 368.143 | − | 637.643i | 0.755941 | − | 1.30933i | −0.188965 | − | 0.981984i | \(-0.560513\pi\) |
0.944905 | − | 0.327344i | \(-0.106153\pi\) | |||||||
\(488\) | 316.174i | 0.647898i | ||||||||
\(489\) | −395.039 | + | 459.159i | −0.807851 | + | 0.938976i | ||||
\(490\) | −153.899 | − | 485.770i | −0.314079 | − | 0.991367i | ||||
\(491\) | −120.218 | + | 69.4081i | −0.244844 | + | 0.141361i | −0.617401 | − | 0.786649i | \(-0.711814\pi\) |
0.372557 | + | 0.928009i | \(0.378481\pi\) | |||||||
\(492\) | 347.937 | + | 299.349i | 0.707188 | + | 0.608432i | ||||
\(493\) | 34.0010 | + | 58.8914i | 0.0689675 | + | 0.119455i | ||||
\(494\) | 26.6023 | + | 15.3588i | 0.0538507 | + | 0.0310907i | ||||
\(495\) | 216.351 | − | 172.622i | 0.437074 | − | 0.348732i | ||||
\(496\) | −207.823 | −0.418998 | ||||||||
\(497\) | −486.674 | + | 214.542i | −0.979224 | + | 0.431674i | ||||
\(498\) | 311.823 | + | 58.9600i | 0.626151 | + | 0.118394i | ||||
\(499\) | −0.603448 | + | 1.04520i | −0.00120931 | + | 0.00209459i | −0.866629 | − | 0.498952i | \(-0.833718\pi\) |
0.865420 | + | 0.501047i | \(0.167052\pi\) | |||||||
\(500\) | 59.8971i | 0.119794i | ||||||||
\(501\) | 630.419 | + | 542.383i | 1.25832 | + | 1.08260i | ||||
\(502\) | −325.473 | −0.648353 | ||||||||
\(503\) | − | 35.0159i | − | 0.0696142i | −0.999394 | − | 0.0348071i | \(-0.988918\pi\) | ||
0.999394 | − | 0.0348071i | \(-0.0110817\pi\) | |||||||
\(504\) | 82.6237 | − | 157.878i | 0.163936 | − | 0.313249i | ||||
\(505\) | 905.600 | 1.79327 | ||||||||
\(506\) | 148.159i | 0.292803i | ||||||||
\(507\) | −493.983 | − | 93.4030i | −0.974325 | − | 0.184227i | ||||
\(508\) | −369.022 | −0.726422 | ||||||||
\(509\) | 458.447 | + | 264.684i | 0.900681 | + | 0.520009i | 0.877421 | − | 0.479721i | \(-0.159262\pi\) |
0.0232602 | + | 0.999729i | \(0.492595\pi\) | |||||||
\(510\) | −487.139 | − | 419.112i | −0.955175 | − | 0.821788i | ||||
\(511\) | 432.450 | + | 47.0596i | 0.846282 | + | 0.0920931i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 18.2088 | − | 491.544i | 0.0354948 | − | 0.958175i | ||||
\(514\) | 176.646 | − | 305.960i | 0.343669 | − | 0.595252i | ||||
\(515\) | −538.939 | + | 311.157i | −1.04648 | + | 0.604187i | ||||
\(516\) | 302.258 | + | 57.1514i | 0.585771 | + | 0.110759i | ||||
\(517\) | −124.098 | − | 214.945i | −0.240036 | − | 0.415754i | ||||
\(518\) | 150.667 | + | 110.314i | 0.290863 | + | 0.212961i | ||||
\(519\) | 172.921 | − | 60.5318i | 0.333181 | − | 0.116632i | ||||
\(520\) | −24.7977 | −0.0476878 | ||||||||
\(521\) | −578.118 | − | 333.776i | −1.10963 | − | 0.640646i | −0.170897 | − | 0.985289i | \(-0.554667\pi\) |
−0.938734 | + | 0.344643i | \(0.888000\pi\) | |||||||
\(522\) | −6.27300 | − | 41.5486i | −0.0120172 | − | 0.0795950i | ||||
\(523\) | −16.1523 | − | 27.9766i | −0.0308839 | − | 0.0534925i | 0.850170 | − | 0.526508i | \(-0.176499\pi\) |
−0.881054 | + | 0.473015i | \(0.843166\pi\) | |||||||
\(524\) | 44.1957 | + | 25.5164i | 0.0843429 | + | 0.0486954i | ||||
\(525\) | 584.106 | + | 177.662i | 1.11258 | + | 0.338404i | ||||
\(526\) | 32.2070 | + | 55.7842i | 0.0612301 | + | 0.106054i | ||||
\(527\) | 926.814 | + | 535.096i | 1.75866 | + | 1.01536i | ||||
\(528\) | −38.0436 | − | 32.7310i | −0.0720523 | − | 0.0619904i | ||||
\(529\) | 49.2555 | + | 85.3131i | 0.0931106 | + | 0.161272i | ||||
\(530\) | −13.8319 | + | 7.98584i | −0.0260979 | + | 0.0150676i | ||||
\(531\) | −179.815 | − | 225.366i | −0.338634 | − | 0.424418i | ||||
\(532\) | −150.671 | + | 205.787i | −0.283217 | + | 0.386818i | ||||
\(533\) | −78.9872 | − | 45.6033i | −0.148194 | − | 0.0855597i | ||||
\(534\) | 304.510 | − | 353.936i | 0.570244 | − | 0.662802i | ||||
\(535\) | −1125.15 | −2.10309 | ||||||||
\(536\) | − | 79.6599i | − | 0.148619i | ||||||
\(537\) | −17.7058 | + | 93.6409i | −0.0329716 | + | 0.174378i | ||||
\(538\) | −115.354 | + | 199.799i | −0.214413 | + | 0.371374i | ||||
\(539\) | −44.0785 | + | 200.129i | −0.0817783 | + | 0.371298i | ||||
\(540\) | 185.676 | + | 350.999i | 0.343844 | + | 0.649999i | ||||
\(541\) | 227.423 | + | 393.908i | 0.420375 | + | 0.728110i | 0.995976 | − | 0.0896201i | \(-0.0285653\pi\) |
−0.575601 | + | 0.817730i | \(0.695232\pi\) | |||||||
\(542\) | 305.890 | − | 176.606i | 0.564372 | − | 0.325840i | ||||
\(543\) | 72.1265 | + | 206.044i | 0.132830 | + | 0.379454i | ||||
\(544\) | −58.2604 | + | 100.910i | −0.107096 | + | 0.185496i | ||||
\(545\) | −698.867 | + | 403.491i | −1.28232 | + | 0.740351i | ||||
\(546\) | −10.3039 | + | 33.8764i | −0.0188716 | + | 0.0620447i | ||||
\(547\) | −42.6443 | + | 73.8621i | −0.0779604 | + | 0.135031i | −0.902370 | − | 0.430963i | \(-0.858174\pi\) |
0.824409 | + | 0.565994i | \(0.191507\pi\) | |||||||
\(548\) | −311.949 | + | 180.104i | −0.569249 | + | 0.328656i | ||||
\(549\) | −786.413 | + | 627.463i | −1.43245 | + | 1.14292i | ||||
\(550\) | 85.9750 | − | 148.913i | 0.156318 | − | 0.270751i | ||||
\(551\) | 60.1436i | 0.109153i | ||||||||
\(552\) | −208.857 | − | 39.4910i | −0.378364 | − | 0.0715417i | ||||
\(553\) | −189.531 | − | 429.938i | −0.342732 | − | 0.777464i | ||||
\(554\) | 271.650 | − | 156.837i | 0.490342 | − | 0.283099i | ||||
\(555\) | −392.754 | + | 137.485i | −0.707665 | + | 0.247721i | ||||
\(556\) | 181.508 | + | 314.381i | 0.326453 | + | 0.565434i | ||||
\(557\) | 880.083 | + | 508.116i | 1.58004 | + | 0.912237i | 0.994852 | + | 0.101340i | \(0.0323131\pi\) |
0.585189 | + | 0.810897i | \(0.301020\pi\) | |||||||
\(558\) | −412.435 | − | 516.914i | −0.739132 | − | 0.926369i | ||||
\(559\) | −61.1267 | −0.109350 | ||||||||
\(560\) | 22.2742 | − | 204.687i | 0.0397754 | − | 0.365513i | ||||
\(561\) | 85.3858 | + | 243.921i | 0.152203 | + | 0.434798i | ||||
\(562\) | −36.9252 | + | 63.9563i | −0.0657031 | + | 0.113801i | ||||
\(563\) | − | 992.663i | − | 1.76317i | −0.472029 | − | 0.881583i | \(-0.656478\pi\) | ||
0.472029 | − | 0.881583i | \(-0.343522\pi\) | |||||||
\(564\) | 336.083 | − | 117.647i | 0.595891 | − | 0.208594i | ||||
\(565\) | 943.286 | 1.66953 | ||||||||
\(566\) | 313.048i | 0.553088i | ||||||||
\(567\) | 556.657 | − | 107.808i | 0.981758 | − | 0.190137i | ||||
\(568\) | −214.906 | −0.378355 | ||||||||
\(569\) | − | 68.0794i | − | 0.119647i | −0.998209 | − | 0.0598237i | \(-0.980946\pi\) | ||
0.998209 | − | 0.0598237i | \(-0.0190539\pi\) | |||||||
\(570\) | −187.783 | − | 536.440i | −0.329444 | − | 0.941122i | ||||
\(571\) | 850.229 | 1.48902 | 0.744509 | − | 0.667613i | \(-0.232684\pi\) | ||||
0.744509 | + | 0.667613i | \(0.232684\pi\) | |||||||
\(572\) | 8.63651 | + | 4.98629i | 0.0150988 | + | 0.00871729i | ||||
\(573\) | 872.988 | − | 305.594i | 1.52354 | − | 0.533322i | ||||
\(574\) | 447.373 | − | 611.021i | 0.779395 | − | 1.06450i | ||||
\(575\) | − | 728.277i | − | 1.26657i | ||||||
\(576\) | 56.2807 | − | 44.9052i | 0.0977096 | − | 0.0779605i | ||||
\(577\) | 239.703 | − | 415.178i | 0.415431 | − | 0.719547i | −0.580043 | − | 0.814586i | \(-0.696964\pi\) |
0.995474 | + | 0.0950391i | \(0.0302976\pi\) | |||||||
\(578\) | 165.688 | − | 95.6601i | 0.286658 | − | 0.165502i | ||||
\(579\) | 35.1543 | + | 100.425i | 0.0607156 | + | 0.173446i | ||||
\(580\) | −24.2763 | − | 42.0478i | −0.0418557 | − | 0.0724961i | ||||
\(581\) | 56.6440 | − | 520.525i | 0.0974940 | − | 0.895913i | ||||
\(582\) | −22.2071 | + | 117.447i | −0.0381565 | + | 0.201799i | ||||
\(583\) | 6.42314 | 0.0110174 | ||||||||
\(584\) | 152.219 | + | 87.8839i | 0.260650 | + | 0.150486i | ||||
\(585\) | −49.2122 | − | 61.6787i | −0.0841235 | − | 0.105434i | ||||
\(586\) | −69.6431 | − | 120.625i | −0.118845 | − | 0.205845i | ||||
\(587\) | −317.341 | − | 183.217i | −0.540615 | − | 0.312124i | 0.204713 | − | 0.978822i | \(-0.434374\pi\) |
−0.745328 | + | 0.666698i | \(0.767707\pi\) | |||||||
\(588\) | −270.371 | − | 115.480i | −0.459814 | − | 0.196395i | ||||
\(589\) | 473.260 | + | 819.711i | 0.803498 | + | 1.39170i | ||||
\(590\) | −288.505 | − | 166.568i | −0.488992 | − | 0.282319i | ||||
\(591\) | −236.132 | + | 82.6592i | −0.399547 | + | 0.139863i | ||||
\(592\) | 37.7260 | + | 65.3434i | 0.0637264 | + | 0.110377i | ||||
\(593\) | 418.142 | − | 241.415i | 0.705130 | − | 0.407107i | −0.104125 | − | 0.994564i | \(-0.533204\pi\) |
0.809255 | + | 0.587457i | \(0.199871\pi\) | |||||||
\(594\) | 5.91156 | − | 159.581i | 0.00995212 | − | 0.268655i | ||||
\(595\) | −626.357 | + | 855.479i | −1.05270 | + | 1.43778i | ||||
\(596\) | 16.2179 | + | 9.36340i | 0.0272112 | + | 0.0157104i | ||||
\(597\) | 607.715 | + | 114.908i | 1.01795 | + | 0.192475i | ||||
\(598\) | 42.2379 | 0.0706319 | ||||||||
\(599\) | − | 455.755i | − | 0.760860i | −0.924810 | − | 0.380430i | \(-0.875776\pi\) | ||
0.924810 | − | 0.380430i | \(-0.124224\pi\) | |||||||
\(600\) | 187.004 | + | 160.890i | 0.311674 | + | 0.268150i | ||||
\(601\) | 285.550 | − | 494.587i | 0.475125 | − | 0.822940i | −0.524469 | − | 0.851429i | \(-0.675736\pi\) |
0.999594 | + | 0.0284892i | \(0.00906962\pi\) | |||||||
\(602\) | 54.9064 | − | 504.558i | 0.0912067 | − | 0.838136i | ||||
\(603\) | 198.136 | − | 158.089i | 0.328584 | − | 0.262171i | ||||
\(604\) | 8.29060 | + | 14.3597i | 0.0137262 | + | 0.0237744i | ||||
\(605\) | 659.174 | − | 380.574i | 1.08954 | − | 0.629048i | ||||
\(606\) | 340.769 | − | 396.080i | 0.562325 | − | 0.653597i | ||||
\(607\) | −77.8517 | + | 134.843i | −0.128256 | + | 0.222147i | −0.923001 | − | 0.384797i | \(-0.874271\pi\) |
0.794745 | + | 0.606944i | \(0.207605\pi\) | |||||||
\(608\) | −89.2487 | + | 51.5277i | −0.146791 | + | 0.0847496i | ||||
\(609\) | −67.5292 | + | 15.6925i | −0.110885 | + | 0.0257677i | ||||
\(610\) | −581.240 | + | 1006.74i | −0.952852 | + | 1.65039i | ||||
\(611\) | −61.2777 | + | 35.3787i | −0.100291 | + | 0.0579030i | ||||
\(612\) | −366.612 | + | 55.3510i | −0.599039 | + | 0.0904428i | ||||
\(613\) | −383.832 | + | 664.817i | −0.626154 | + | 1.08453i | 0.362163 | + | 0.932115i | \(0.382038\pi\) |
−0.988317 | + | 0.152415i | \(0.951295\pi\) | |||||||
\(614\) | − | 91.0978i | − | 0.148368i | ||||||
\(615\) | 557.565 | + | 1592.79i | 0.906609 | + | 2.58991i | ||||
\(616\) | −48.9160 | + | 66.8094i | −0.0794091 | + | 0.108457i | ||||
\(617\) | 252.306 | − | 145.669i | 0.408924 | − | 0.236093i | −0.281403 | − | 0.959590i | \(-0.590800\pi\) |
0.690327 | + | 0.723497i | \(0.257466\pi\) | |||||||
\(618\) | −66.7079 | + | 352.800i | −0.107942 | + | 0.570873i | ||||
\(619\) | 275.150 | + | 476.575i | 0.444508 | + | 0.769911i | 0.998018 | − | 0.0629322i | \(-0.0200452\pi\) |
−0.553510 | + | 0.832843i | \(0.686712\pi\) | |||||||
\(620\) | −661.734 | − | 382.052i | −1.06731 | − | 0.616214i | ||||
\(621\) | −316.262 | − | 597.858i | −0.509279 | − | 0.962734i | ||||
\(622\) | 194.446 | 0.312613 | ||||||||
\(623\) | −621.557 | − | 455.087i | −0.997684 | − | 0.730476i | ||||
\(624\) | −9.33113 | + | 10.8457i | −0.0149537 | + | 0.0173809i | ||||
\(625\) | 253.297 | − | 438.724i | 0.405275 | − | 0.701958i | ||||
\(626\) | − | 82.0990i | − | 0.131149i | ||||||
\(627\) | −42.4658 | + | 224.590i | −0.0677286 | + | 0.358198i | ||||
\(628\) | −512.304 | −0.815771 | ||||||||
\(629\) | − | 388.543i | − | 0.617715i | ||||||
\(630\) | 553.319 | − | 350.810i | 0.878284 | − | 0.556841i | ||||
\(631\) | −599.999 | −0.950870 | −0.475435 | − | 0.879751i | \(-0.657709\pi\) | ||||
−0.475435 | + | 0.879751i | \(0.657709\pi\) | |||||||
\(632\) | − | 189.852i | − | 0.300399i | ||||||
\(633\) | −510.553 | + | 593.422i | −0.806560 | + | 0.937476i | ||||
\(634\) | −354.364 | −0.558934 | ||||||||
\(635\) | −1175.01 | − | 678.393i | −1.85041 | − | 1.06834i | ||||
\(636\) | −1.71206 | + | 9.05461i | −0.00269192 | + | 0.0142368i | ||||
\(637\) | 57.0540 | + | 12.5661i | 0.0895668 | + | 0.0197271i | ||||
\(638\) | 19.5258i | 0.0306047i | ||||||||
\(639\) | −426.492 | − | 534.531i | −0.667436 | − | 0.836512i | ||||
\(640\) | 41.5972 | − | 72.0485i | 0.0649956 | − | 0.112576i | ||||
\(641\) | 193.598 | − | 111.774i | 0.302025 | − | 0.174374i | −0.341327 | − | 0.939945i | \(-0.610876\pi\) |
0.643352 | + | 0.765570i | \(0.277543\pi\) | |||||||
\(642\) | −423.384 | + | 492.105i | −0.659477 | + | 0.766519i | ||||
\(643\) | −34.9542 | − | 60.5424i | −0.0543611 | − | 0.0941562i | 0.837564 | − | 0.546339i | \(-0.183979\pi\) |
−0.891925 | + | 0.452183i | \(0.850646\pi\) | |||||||
\(644\) | −37.9398 | + | 348.644i | −0.0589127 | + | 0.541373i | ||||
\(645\) | 857.362 | + | 737.634i | 1.32924 | + | 1.14362i | ||||
\(646\) | 530.688 | 0.821499 | ||||||||
\(647\) | −81.4441 | − | 47.0218i | −0.125880 | − | 0.0726767i | 0.435738 | − | 0.900074i | \(-0.356487\pi\) |
−0.561618 | + | 0.827397i | \(0.689821\pi\) | |||||||
\(648\) | 223.384 | + | 50.8691i | 0.344728 | + | 0.0785018i | ||||
\(649\) | 66.9869 | + | 116.025i | 0.103216 | + | 0.178774i | ||||
\(650\) | −42.4530 | − | 24.5102i | −0.0653123 | − | 0.0377081i | ||||
\(651\) | −796.889 | + | 745.254i | −1.22410 | + | 1.14478i | ||||
\(652\) | 201.903 | + | 349.706i | 0.309667 | + | 0.536359i | ||||
\(653\) | 445.768 | + | 257.364i | 0.682647 | + | 0.394126i | 0.800851 | − | 0.598863i | \(-0.204381\pi\) |
−0.118205 | + | 0.992989i | \(0.537714\pi\) | |||||||
\(654\) | −86.5032 | + | 457.492i | −0.132268 | + | 0.699528i | ||||
\(655\) | 93.8164 | + | 162.495i | 0.143231 | + | 0.248084i | ||||
\(656\) | 264.997 | − | 152.996i | 0.403958 | − | 0.233225i | ||||
\(657\) | 83.4952 | + | 553.022i | 0.127086 | + | 0.841738i | ||||
\(658\) | −236.984 | − | 537.583i | −0.360158 | − | 0.816996i | ||||
\(659\) | 451.104 | + | 260.445i | 0.684529 | + | 0.395213i | 0.801559 | − | 0.597916i | \(-0.204004\pi\) |
−0.117030 | + | 0.993128i | \(0.537338\pi\) | |||||||
\(660\) | −60.9645 | − | 174.157i | −0.0923704 | − | 0.263874i | ||||
\(661\) | −867.089 | −1.31178 | −0.655892 | − | 0.754855i | \(-0.727707\pi\) | ||||
−0.655892 | + | 0.754855i | \(0.727707\pi\) | |||||||
\(662\) | − | 13.7280i | − | 0.0207372i | ||||||
\(663\) | 69.5385 | − | 24.3423i | 0.104885 | − | 0.0367154i | ||||
\(664\) | 105.783 | − | 183.221i | 0.159311 | − | 0.275936i | ||||
\(665\) | −858.066 | + | 378.264i | −1.29032 | + | 0.568817i | ||||
\(666\) | −87.6580 | + | 223.512i | −0.131619 | + | 0.335604i | ||||
\(667\) | 41.3498 | + | 71.6200i | 0.0619937 | + | 0.107376i | ||||
\(668\) | 480.142 | − | 277.210i | 0.718775 | − | 0.414985i | ||||
\(669\) | 235.527 | + | 44.5337i | 0.352058 | + | 0.0665676i | ||||
\(670\) | 146.443 | − | 253.647i | 0.218572 | − | 0.378577i | ||||
\(671\) | 404.867 | − | 233.750i | 0.603379 | − | 0.348361i | ||||
\(672\) | −81.1420 | − | 86.7639i | −0.120747 | − | 0.129113i | ||||
\(673\) | −329.187 | + | 570.169i | −0.489134 | + | 0.847205i | −0.999922 | − | 0.0125020i | \(-0.996020\pi\) |
0.510788 | + | 0.859707i | \(0.329354\pi\) | |||||||
\(674\) | −394.453 | + | 227.737i | −0.585241 | + | 0.337889i | ||||
\(675\) | −29.0584 | + | 784.426i | −0.0430495 | + | 1.16211i | ||||
\(676\) | −167.578 | + | 290.254i | −0.247897 | + | 0.429370i | ||||
\(677\) | − | 610.254i | − | 0.901409i | −0.892673 | − | 0.450705i | \(-0.851173\pi\) | ||
0.892673 | − | 0.450705i | \(-0.148827\pi\) | |||||||
\(678\) | 354.950 | − | 412.563i | 0.523525 | − | 0.608500i | ||||
\(679\) | 196.054 | + | 21.3347i | 0.288739 | + | 0.0314208i | ||||
\(680\) | −371.016 | + | 214.206i | −0.545612 | + | 0.315009i | ||||
\(681\) | −56.3021 | − | 48.4397i | −0.0826757 | − | 0.0711303i | ||||
\(682\) | 153.646 | + | 266.122i | 0.225287 | + | 0.390208i | ||||
\(683\) | 120.639 | + | 69.6512i | 0.176632 | + | 0.101978i | 0.585709 | − | 0.810521i | \(-0.300816\pi\) |
−0.409077 | + | 0.912500i | \(0.634149\pi\) | |||||||
\(684\) | −305.282 | − | 119.727i | −0.446319 | − | 0.175039i | ||||
\(685\) | −1324.38 | −1.93340 | ||||||||
\(686\) | −154.973 | + | 459.654i | −0.225908 | + | 0.670049i | ||||
\(687\) | 201.612 | + | 38.1211i | 0.293467 | + | 0.0554893i | ||||
\(688\) | 102.538 | − | 177.601i | 0.149038 | − | 0.258141i | ||||
\(689\) | − | 1.83115i | − | 0.00265769i | ||||||
\(690\) | −592.428 | − | 509.697i | −0.858591 | − | 0.738692i | ||||
\(691\) | 861.604 | 1.24689 | 0.623447 | − | 0.781866i | \(-0.285732\pi\) | ||||
0.623447 | + | 0.781866i | \(0.285732\pi\) | |||||||
\(692\) | − | 122.140i | − | 0.176503i | ||||||
\(693\) | −263.250 | + | 10.9190i | −0.379870 | + | 0.0157561i | ||||
\(694\) | −764.251 | −1.10123 | ||||||||
\(695\) | 1334.70i | 1.92044i | ||||||||
\(696\) | −27.5253 | − | 5.20452i | −0.0395478 | − | 0.00747776i | ||||
\(697\) | −1575.72 | −2.26071 | ||||||||
\(698\) | −156.863 | − | 90.5650i | −0.224732 | − | 0.129749i | ||||
\(699\) | −228.622 | − | 196.696i | −0.327070 | − | 0.281396i | ||||
\(700\) | 240.448 | − | 328.403i | 0.343497 | − | 0.469148i | ||||
\(701\) | − | 562.653i | − | 0.802643i | −0.915937 | − | 0.401322i | \(-0.868551\pi\) | ||
0.915937 | − | 0.401322i | \(-0.131449\pi\) | |||||||
\(702\) | −45.4944 | − | 1.68530i | −0.0648068 | − | 0.00240072i | ||||
\(703\) | 171.821 | − | 297.603i | 0.244411 | − | 0.423333i | ||||
\(704\) | −28.9749 | + | 16.7287i | −0.0411575 | + | 0.0237623i | ||||
\(705\) | 1286.41 | + | 243.236i | 1.82469 | + | 0.345015i | ||||
\(706\) | 319.518 | + | 553.422i | 0.452575 | + | 0.783883i | ||||
\(707\) | −695.567 | − | 509.275i | −0.983829 | − | 0.720332i | ||||
\(708\) | −181.413 | + | 63.5046i | −0.256234 | + | 0.0896957i | ||||
\(709\) | −1189.60 | −1.67786 | −0.838929 | − | 0.544241i | \(-0.816818\pi\) | ||||
−0.838929 | + | 0.544241i | \(0.816818\pi\) | |||||||
\(710\) | −684.287 | − | 395.073i | −0.963784 | − | 0.556441i | ||||
\(711\) | 472.215 | − | 376.771i | 0.664156 | − | 0.529917i | ||||
\(712\) | −155.634 | − | 269.566i | −0.218587 | − | 0.378604i | ||||
\(713\) | 1127.13 | + | 650.751i | 1.58083 | + | 0.912694i | ||||
\(714\) | 138.466 | + | 595.857i | 0.193930 | + | 0.834533i | ||||
\(715\) | 18.3331 | + | 31.7539i | 0.0256408 | + | 0.0444111i | ||||
\(716\) | 55.0216 | + | 31.7667i | 0.0768458 | + | 0.0443669i | ||||
\(717\) | −172.543 | − | 148.448i | −0.240646 | − | 0.207040i | ||||
\(718\) | −268.102 | − | 464.366i | −0.373401 | − | 0.646750i | ||||
\(719\) | 172.791 | − | 99.7608i | 0.240321 | − | 0.138749i | −0.375003 | − | 0.927023i | \(-0.622358\pi\) |
0.615324 | + | 0.788274i | \(0.289025\pi\) | |||||||
\(720\) | 261.756 | − | 39.5199i | 0.363551 | − | 0.0548888i | ||||
\(721\) | 588.927 | + | 64.0875i | 0.816820 | + | 0.0888870i | ||||
\(722\) | −35.6541 | − | 20.5849i | −0.0493825 | − | 0.0285110i | ||||
\(723\) | 785.549 | − | 913.054i | 1.08651 | − | 1.26287i | ||||
\(724\) | 145.535 | 0.201016 | ||||||||
\(725\) | − | 95.9796i | − | 0.132386i | ||||||
\(726\) | 81.5902 | − | 431.508i | 0.112383 | − | 0.594363i | ||||
\(727\) | 282.658 | − | 489.578i | 0.388800 | − | 0.673422i | −0.603488 | − | 0.797372i | \(-0.706223\pi\) |
0.992288 | + | 0.123950i | \(0.0395563\pi\) | |||||||
\(728\) | 19.0464 | + | 13.9453i | 0.0261627 | + | 0.0191556i | ||||
\(729\) | 316.791 | + | 656.570i | 0.434555 | + | 0.900645i | ||||
\(730\) | 323.123 | + | 559.666i | 0.442635 | + | 0.766666i | ||||
\(731\) | −914.562 | + | 528.023i | −1.25111 | + | 0.722329i | ||||
\(732\) | 221.599 | + | 633.041i | 0.302731 | + | 0.864810i | ||||
\(733\) | 113.152 | − | 195.985i | 0.154369 | − | 0.267374i | −0.778460 | − | 0.627694i | \(-0.783999\pi\) |
0.932829 | + | 0.360319i | \(0.117332\pi\) | |||||||
\(734\) | −585.809 | + | 338.217i | −0.798105 | + | 0.460786i | ||||
\(735\) | −648.599 | − | 864.741i | −0.882448 | − | 1.17652i | ||||
\(736\) | −70.8526 | + | 122.720i | −0.0962671 | + | 0.166739i | ||||
\(737\) | −102.006 | + | 58.8933i | −0.138407 | + | 0.0799094i | ||||
\(738\) | 906.442 | + | 355.493i | 1.22824 | + | 0.481697i | ||||
\(739\) | 262.119 | − | 454.004i | 0.354694 | − | 0.614349i | −0.632371 | − | 0.774665i | \(-0.717918\pi\) |
0.987066 | + | 0.160317i | \(0.0512516\pi\) | |||||||
\(740\) | 277.415i | 0.374885i | ||||||||
\(741\) | 64.0274 | + | 12.1064i | 0.0864068 | + | 0.0163379i | ||||
\(742\) | 15.1148 | + | 1.64481i | 0.0203704 | + | 0.00221672i | ||||
\(743\) | 474.032 | − | 273.683i | 0.637998 | − | 0.368348i | −0.145845 | − | 0.989307i | \(-0.546590\pi\) |
0.783843 | + | 0.620959i | \(0.213257\pi\) | |||||||
\(744\) | −416.102 | + | 145.658i | −0.559277 | + | 0.195777i | ||||
\(745\) | 34.4265 | + | 59.6284i | 0.0462101 | + | 0.0800382i | ||||
\(746\) | −275.768 | − | 159.215i | −0.369662 | − | 0.213424i | ||||
\(747\) | 665.654 | − | 100.500i | 0.891103 | − | 0.134539i | ||||
\(748\) | 172.290 | 0.230334 | ||||||||
\(749\) | 864.199 | + | 632.742i | 1.15380 | + | 0.844783i | ||||
\(750\) | 41.9805 | + | 119.925i | 0.0559740 | + | 0.159901i | ||||
\(751\) | −183.600 | + | 318.004i | −0.244474 | + | 0.423441i | −0.961984 | − | 0.273107i | \(-0.911949\pi\) |
0.717510 | + | 0.696549i | \(0.245282\pi\) | |||||||
\(752\) | − | 237.386i | − | 0.315673i | ||||||
\(753\) | −651.660 | + | 228.117i | −0.865418 | + | 0.302944i | ||||
\(754\) | 5.56653 | 0.00738267 | ||||||||
\(755\) | 60.9643i | 0.0807474i | ||||||||
\(756\) | 54.7758 | − | 374.010i | 0.0724548 | − | 0.494722i | ||||
\(757\) | −519.753 | −0.686596 | −0.343298 | − | 0.939227i | \(-0.611544\pi\) | ||||
−0.343298 | + | 0.939227i | \(0.611544\pi\) | |||||||
\(758\) | 125.281i | 0.165278i | ||||||||
\(759\) | 103.841 | + | 296.642i | 0.136813 | + | 0.390833i | ||||
\(760\) | −378.905 | −0.498559 | ||||||||
\(761\) | 856.816 | + | 494.683i | 1.12591 | + | 0.650043i | 0.942902 | − | 0.333069i | \(-0.108084\pi\) |
0.183005 | + | 0.983112i | \(0.441418\pi\) | |||||||
\(762\) | −738.853 | + | 258.639i | −0.969624 | + | 0.339421i | ||||
\(763\) | 763.689 | + | 83.1053i | 1.00090 | + | 0.108919i | ||||
\(764\) | − | 616.620i | − | 0.807095i | ||||||
\(765\) | −1269.09 | − | 497.718i | −1.65894 | − | 0.650612i | ||||
\(766\) | 30.3546 | − | 52.5757i | 0.0396274 | − | 0.0686366i | ||||
\(767\) | 33.0770 | − | 19.0970i | 0.0431251 | − | 0.0248983i | ||||
\(768\) | −15.8590 | − | 45.3044i | −0.0206498 | − | 0.0589901i | ||||
\(769\) | 497.717 | + | 862.071i | 0.647226 | + | 1.12103i | 0.983783 | + | 0.179365i | \(0.0574043\pi\) |
−0.336557 | + | 0.941663i | \(0.609262\pi\) | |||||||
\(770\) | −278.574 | + | 122.805i | −0.361784 | + | 0.159486i | ||||
\(771\) | 139.239 | − | 736.397i | 0.180595 | − | 0.955119i | ||||
\(772\) | 70.9337 | 0.0918830 | ||||||||
\(773\) | 1104.94 | + | 637.935i | 1.42941 | + | 0.825272i | 0.997074 | − | 0.0764392i | \(-0.0243551\pi\) |
0.432339 | + | 0.901711i | \(0.357688\pi\) | |||||||
\(774\) | 645.235 | − | 97.4174i | 0.833636 | − | 0.125862i | ||||
\(775\) | −755.248 | − | 1308.13i | −0.974514 | − | 1.68791i | ||||
\(776\) | 69.0095 | + | 39.8427i | 0.0889298 | + | 0.0513436i | ||||
\(777\) | 378.980 | + | 115.271i | 0.487748 | + | 0.148354i | ||||
\(778\) | −98.1835 | − | 170.059i | −0.126200 | − | 0.218584i | ||||
\(779\) | −1206.91 | − | 696.812i | −1.54931 | − | 0.894496i | ||||
\(780\) | −49.6497 | + | 17.3801i | −0.0636535 | + | 0.0222822i | ||||
\(781\) | 158.882 | + | 275.192i | 0.203434 | + | 0.352358i | ||||
\(782\) | 631.953 | − | 364.858i | 0.808124 | − | 0.466570i | ||||
\(783\) | −41.6802 | − | 78.7916i | −0.0532314 | − | 0.100628i | ||||
\(784\) | −132.216 | + | 144.689i | −0.168643 | + | 0.184552i | ||||
\(785\) | −1631.24 | − | 941.796i | −2.07801 | − | 1.19974i | ||||
\(786\) | 106.372 | + | 20.1130i | 0.135333 | + | 0.0255891i | ||||
\(787\) | −253.914 | −0.322635 | −0.161317 | − | 0.986903i | \(-0.551574\pi\) | ||||
−0.161317 | + | 0.986903i | \(0.551574\pi\) | |||||||
\(788\) | 166.788i | 0.211660i | ||||||||
\(789\) | 103.582 | + | 89.1175i | 0.131283 | + | 0.112950i | ||||
\(790\) | 349.015 | − | 604.512i | 0.441792 | − | 0.765206i | ||||
\(791\) | −724.513 | − | 530.468i | −0.915945 | − | 0.670629i | ||||
\(792\) | −99.1110 | − | 38.8698i | −0.125140 | − | 0.0490780i | ||||
\(793\) | −66.6389 | − | 115.422i | −0.0840339 | − | 0.145551i | ||||
\(794\) | 569.256 | − | 328.660i | 0.716947 | − | 0.413930i | ||||
\(795\) | −22.0970 | + | 25.6836i | −0.0277950 | + | 0.0323065i | ||||
\(796\) | 206.161 | − | 357.082i | 0.258996 | − | 0.448595i | ||||
\(797\) | −179.472 | + | 103.618i | −0.225185 | + | 0.130011i | −0.608349 | − | 0.793670i | \(-0.708168\pi\) |
0.383164 | + | 0.923680i | \(0.374834\pi\) | |||||||
\(798\) | −157.442 | + | 517.627i | −0.197296 | + | 0.648655i | ||||
\(799\) | −611.214 | + | 1058.65i | −0.764974 | + | 1.32497i | ||||
\(800\) | 142.427 | − | 82.2301i | 0.178033 | − | 0.102788i | ||||
\(801\) | 361.622 | − | 922.072i | 0.451463 | − | 1.15115i | ||||
\(802\) | −34.8860 | + | 60.4243i | −0.0434987 | + | 0.0753420i | ||||
\(803\) | − | 259.893i | − | 0.323653i | ||||||
\(804\) | −55.8317 | − | 159.494i | −0.0694424 | − | 0.198376i | ||||
\(805\) | −761.736 | + | 1040.38i | −0.946256 | + | 1.29240i | ||||
\(806\) | 75.8676 | − | 43.8022i | 0.0941285 | − | 0.0543451i | ||||
\(807\) | −90.9265 | + | 480.885i | −0.112672 | + | 0.595893i | ||||
\(808\) | −174.166 | − | 301.664i | −0.215551 | − | 0.373346i | ||||
\(809\) | 725.129 | + | 418.654i | 0.896328 | + | 0.517495i | 0.876007 | − | 0.482298i | \(-0.160198\pi\) |
0.0203210 | + | 0.999794i | \(0.493531\pi\) | |||||||
\(810\) | 617.766 | + | 572.632i | 0.762674 | + | 0.706953i | ||||
\(811\) | −125.310 | −0.154513 | −0.0772566 | − | 0.997011i | \(-0.524616\pi\) | ||||
−0.0772566 | + | 0.997011i | \(0.524616\pi\) | |||||||
\(812\) | −5.00008 | + | 45.9478i | −0.00615773 | + | 0.0565860i | ||||
\(813\) | 488.671 | − | 567.989i | 0.601072 | − | 0.698634i | ||||
\(814\) | 55.7824 | − | 96.6179i | 0.0685287 | − | 0.118695i | ||||
\(815\) | 1484.68i | 1.82169i | ||||||||
\(816\) | −45.9231 | + | 242.874i | −0.0562783 | + | 0.297640i | ||||
\(817\) | −934.008 | −1.14322 | ||||||||
\(818\) | 176.718i | 0.216037i | ||||||||
\(819\) | 3.11284 | + | 75.0488i | 0.00380078 | + | 0.0916347i | ||||
\(820\) | 1125.04 | 1.37200 | ||||||||
\(821\) | 919.053i | 1.11943i | 0.828685 | + | 0.559716i | \(0.189090\pi\) | ||||
−0.828685 | + | 0.559716i | \(0.810910\pi\) | |||||||
\(822\) | −498.351 | + | 579.240i | −0.606266 | + | 0.704671i | ||||
\(823\) | 204.382 | 0.248338 | 0.124169 | − | 0.992261i | \(-0.460374\pi\) | ||||
0.124169 | + | 0.992261i | \(0.460374\pi\) | |||||||
\(824\) | 207.298 | + | 119.684i | 0.251575 | + | 0.145247i | ||||
\(825\) | 67.7688 | − | 358.410i | 0.0821440 | − | 0.434437i | ||||
\(826\) | 127.921 | + | 290.181i | 0.154868 | + | 0.351309i | ||||
\(827\) | − | 496.263i | − | 0.600076i | −0.953927 | − | 0.300038i | \(-0.903001\pi\) | ||
0.953927 | − | 0.300038i | \(-0.0969994\pi\) | |||||||
\(828\) | −445.850 | + | 67.3144i | −0.538466 | + | 0.0812976i | ||||
\(829\) | 594.038 | − | 1028.90i | 0.716571 | − | 1.24114i | −0.245779 | − | 0.969326i | \(-0.579044\pi\) |
0.962350 | − | 0.271812i | \(-0.0876229\pi\) | |||||||
\(830\) | 673.651 | − | 388.933i | 0.811628 | − | 0.468594i | ||||
\(831\) | 433.971 | − | 504.410i | 0.522228 | − | 0.606992i | ||||
\(832\) | 4.76910 | + | 8.26033i | 0.00573209 | + | 0.00992828i | ||||
\(833\) | 962.176 | − | 304.831i | 1.15507 | − | 0.365943i | ||||
\(834\) | 583.756 | + | 502.237i | 0.699947 | + | 0.602202i | ||||
\(835\) | 2038.44 | 2.44125 | ||||||||
\(836\) | 131.965 | + | 76.1899i | 0.157853 | + | 0.0911362i | ||||
\(837\) | −1188.07 | − | 745.895i | −1.41944 | − | 0.891153i | ||||
\(838\) | 477.241 | + | 826.606i | 0.569501 | + | 0.986404i | ||||
\(839\) | −122.938 | − | 70.9782i | −0.146529 | − | 0.0845986i | 0.424943 | − | 0.905220i | \(-0.360294\pi\) |
−0.571472 | + | 0.820622i | \(0.693627\pi\) | |||||||
\(840\) | −98.8632 | − | 425.435i | −0.117694 | − | 0.506470i | ||||
\(841\) | −415.051 | − | 718.889i | −0.493520 | − | 0.854802i | ||||
\(842\) | −19.0443 | − | 10.9952i | −0.0226179 | − | 0.0130585i | ||||
\(843\) | −29.1058 | + | 153.933i | −0.0345265 | + | 0.182601i | ||||
\(844\) | 260.941 | + | 451.964i | 0.309172 | + | 0.535502i | ||||
\(845\) | −1067.18 | + | 616.137i | −1.26294 | + | 0.729156i | ||||
\(846\) | 590.446 | − | 471.105i | 0.697926 | − | 0.556861i | ||||
\(847\) | −720.314 | − | 78.3852i | −0.850430 | − | 0.0925445i | ||||
\(848\) | 5.32031 | + | 3.07168i | 0.00627395 | + | 0.00362227i | ||||
\(849\) | 219.408 | + | 626.782i | 0.258431 | + | 0.738259i | ||||
\(850\) | −846.894 | −0.996346 | ||||||||
\(851\) | − | 472.521i | − | 0.555254i | ||||||
\(852\) | −430.283 | + | 150.622i | −0.505027 | + | 0.176787i | ||||
\(853\) | 324.476 | − | 562.008i | 0.380393 | − | 0.658861i | −0.610725 | − | 0.791843i | \(-0.709122\pi\) |
0.991118 | + | 0.132982i | \(0.0424553\pi\) | |||||||
\(854\) | 1012.58 | − | 446.381i | 1.18570 | − | 0.522694i | ||||
\(855\) | −751.956 | − | 942.443i | −0.879481 | − | 1.10227i | ||||
\(856\) | 216.390 | + | 374.798i | 0.252792 | + | 0.437849i | ||||
\(857\) | 730.115 | − | 421.532i | 0.851943 | − | 0.491869i | −0.00936302 | − | 0.999956i | \(-0.502980\pi\) |
0.861306 | + | 0.508087i | \(0.169647\pi\) | |||||||
\(858\) | 20.7867 | + | 3.93039i | 0.0242270 | + | 0.00458087i | ||||
\(859\) | −140.397 | + | 243.175i | −0.163442 | + | 0.283090i | −0.936101 | − | 0.351731i | \(-0.885593\pi\) |
0.772659 | + | 0.634822i | \(0.218926\pi\) | |||||||
\(860\) | 652.987 | − | 377.002i | 0.759287 | − | 0.438374i | ||||
\(861\) | 467.475 | − | 1536.93i | 0.542945 | − | 1.78506i | ||||
\(862\) | 210.629 | − | 364.820i | 0.244349 | − | 0.423225i | ||||
\(863\) | 711.247 | − | 410.638i | 0.824156 | − | 0.475827i | −0.0276915 | − | 0.999617i | \(-0.508816\pi\) |
0.851848 | + | 0.523790i | \(0.175482\pi\) | |||||||
\(864\) | 81.2118 | − | 129.355i | 0.0939951 | − | 0.149716i | ||||
\(865\) | 224.536 | − | 388.908i | 0.259579 | − | 0.449605i | ||||
\(866\) | − | 273.203i | − | 0.315477i | ||||||
\(867\) | 264.694 | − | 307.657i | 0.305298 | − | 0.354852i | ||||
\(868\) | 293.409 | + | 665.578i | 0.338028 | + | 0.766795i | ||||
\(869\) | −243.110 | + | 140.359i | −0.279758 | + | 0.161518i | ||||
\(870\) | −78.0760 | − | 67.1730i | −0.0897426 | − | 0.0772103i | ||||
\(871\) | 16.7896 | + | 29.0805i | 0.0192763 | + | 0.0333875i | ||||
\(872\) | 268.813 | + | 155.199i | 0.308272 | + | 0.177981i | ||||
\(873\) | 37.8530 | + | 250.716i | 0.0433597 | + | 0.287189i | ||||
\(874\) | 645.389 | 0.738432 | ||||||||
\(875\) | 191.828 | − | 84.5639i | 0.219232 | − | 0.0966445i | ||||
\(876\) | 366.368 | + | 69.2735i | 0.418228 | + | 0.0790793i | ||||
\(877\) | 138.403 | − | 239.720i | 0.157814 | − | 0.273341i | −0.776266 | − | 0.630405i | \(-0.782889\pi\) |
0.934080 | + | 0.357064i | \(0.116222\pi\) | |||||||
\(878\) | 1113.50i | 1.26822i | ||||||||
\(879\) | −223.982 | − | 192.704i | −0.254815 | − | 0.219231i | ||||
\(880\) | −123.013 | −0.139787 | ||||||||
\(881\) | 1353.04i | 1.53580i | 0.640568 | + | 0.767901i | \(0.278699\pi\) | ||||
−0.640568 | + | 0.767901i | \(0.721301\pi\) | |||||||
\(882\) | −622.271 | − | 41.7175i | −0.705523 | − | 0.0472988i | ||||
\(883\) | 1338.00 | 1.51529 | 0.757647 | − | 0.652665i | \(-0.226349\pi\) | ||||
0.757647 | + | 0.652665i | \(0.226349\pi\) | |||||||
\(884\) | − | 49.1173i | − | 0.0555626i | ||||||
\(885\) | −694.386 | − | 131.296i | −0.784617 | − | 0.148357i | ||||
\(886\) | −429.238 | −0.484467 | ||||||||
\(887\) | 248.517 | + | 143.481i | 0.280177 | + | 0.161760i | 0.633504 | − | 0.773740i | \(-0.281616\pi\) |
−0.353327 | + | 0.935500i | \(0.614950\pi\) | |||||||
\(888\) | 121.332 | + | 104.389i | 0.136635 | + | 0.117555i | ||||
\(889\) | 520.993 | + | 1181.84i | 0.586044 | + | 1.32940i | ||||
\(890\) | − | 1144.44i | − | 1.28589i | ||||||
\(891\) | −100.011 | − | 323.656i | −0.112245 | − | 0.363250i | ||||
\(892\) | 79.9000 | − | 138.391i | 0.0895739 | − | 0.155147i | ||||
\(893\) | −936.315 | + | 540.582i | −1.04851 | + | 0.605355i | ||||
\(894\) | 39.0339 | + | 7.38059i | 0.0436621 | + | 0.00825570i | ||||
\(895\) | 116.797 | + | 202.298i | 0.130499 | + | 0.226032i | ||||
\(896\) | −72.4670 | + | 31.9458i | −0.0808783 | + | 0.0356538i | ||||
\(897\) | 84.5684 | − | 29.6036i | 0.0942791 | − | 0.0330028i | ||||
\(898\) | 276.041 | 0.307396 | ||||||||
\(899\) | 148.545 | + | 85.7624i | 0.165233 | + | 0.0953975i | ||||
\(900\) | 487.182 | + | 191.065i | 0.541314 | + | 0.212295i | ||||
\(901\) | −15.8178 | − | 27.3972i | −0.0175558 | − | 0.0304075i | ||||
\(902\) | −391.829 | − | 226.222i | −0.434400 | − | 0.250801i | ||||
\(903\) | −243.700 | − | 1048.70i | −0.269878 | − | 1.16136i | ||||
\(904\) | −181.413 | − | 314.217i | −0.200678 | − | 0.347585i | ||||
\(905\) | 463.402 | + | 267.546i | 0.512047 | + | 0.295630i | ||||
\(906\) | 26.6638 | + | 22.9403i | 0.0294302 | + | 0.0253204i | ||||
\(907\) | −847.762 | − | 1468.37i | −0.934688 | − | 1.61893i | −0.775189 | − | 0.631730i | \(-0.782345\pi\) |
−0.159500 | − | 0.987198i | \(-0.550988\pi\) | |||||||
\(908\) | −42.8810 | + | 24.7574i | −0.0472258 | + | 0.0272658i | ||||
\(909\) | 404.681 | − | 1031.87i | 0.445194 | − | 1.13517i | ||||
\(910\) | 35.0098 | + | 79.4175i | 0.0384723 | + | 0.0872720i | ||||
\(911\) | −172.108 | − | 99.3667i | −0.188922 | − | 0.109074i | 0.402556 | − | 0.915395i | \(-0.368122\pi\) |
−0.591478 | + | 0.806321i | \(0.701455\pi\) | |||||||
\(912\) | −142.578 | + | 165.721i | −0.156336 | + | 0.181711i | ||||
\(913\) | −312.825 | −0.342634 | ||||||||
\(914\) | 1143.88i | 1.25151i | ||||||||
\(915\) | −458.155 | + | 2423.06i | −0.500716 | + | 2.64815i | ||||
\(916\) | 68.3948 | − | 118.463i | 0.0746668 | − | 0.129327i | ||||
\(917\) | 19.3229 | − | 177.567i | 0.0210719 | − | 0.193639i | ||||
\(918\) | −695.233 | + | 367.773i | −0.757334 | + | 0.400624i | ||||
\(919\) | −425.209 | − | 736.484i | −0.462687 | − | 0.801397i | 0.536407 | − | 0.843960i | \(-0.319781\pi\) |
−0.999094 | + | 0.0425622i | \(0.986448\pi\) | |||||||
\(920\) | −451.207 | + | 260.504i | −0.490442 | + | 0.283157i | ||||
\(921\) | −63.8483 | − | 182.395i | −0.0693250 | − | 0.198040i | ||||
\(922\) | −23.9259 | + | 41.4409i | −0.0259500 | + | 0.0449468i | ||||
\(923\) | 78.4532 | − | 45.2950i | 0.0849980 | − | 0.0490736i | ||||
\(924\) | −51.1140 | + | 168.049i | −0.0553182 | + | 0.181872i | ||||
\(925\) | −274.200 | + | 474.928i | −0.296432 | + | 0.513435i | ||||
\(926\) | −653.749 | + | 377.442i | −0.705992 | + | 0.407605i | ||||
\(927\) | 113.707 | + | 753.127i | 0.122661 | + | 0.812434i | ||||
\(928\) | −9.33766 | + | 16.1733i | −0.0100621 | + | 0.0174281i | ||||
\(929\) | − | 812.786i | − | 0.874904i | −0.899242 | − | 0.437452i | \(-0.855881\pi\) | ||
0.899242 | − | 0.437452i | \(-0.144119\pi\) | |||||||
\(930\) | −1592.69 | − | 301.148i | −1.71257 | − | 0.323815i | ||||
\(931\) | 871.778 | + | 192.009i | 0.936389 | + | 0.206240i | ||||
\(932\) | −174.124 | + | 100.530i | −0.186828 | + | 0.107865i | ||||
\(933\) | 389.317 | − | 136.282i | 0.417275 | − | 0.146069i | ||||
\(934\) | −253.952 | − | 439.858i | −0.271897 | − | 0.470940i | ||||
\(935\) | 548.592 | + | 316.729i | 0.586729 | + | 0.338748i | ||||
\(936\) | −11.0812 | + | 28.2551i | −0.0118389 | + | 0.0301871i | ||||
\(937\) | −1288.17 | −1.37478 | −0.687391 | − | 0.726288i | \(-0.741244\pi\) | ||||
−0.687391 | + | 0.726288i | \(0.741244\pi\) | |||||||
\(938\) | −255.120 | + | 112.465i | −0.271983 | + | 0.119899i | ||||
\(939\) | −57.5413 | − | 164.378i | −0.0612793 | − | 0.175056i | ||||
\(940\) | 436.400 | − | 755.867i | 0.464255 | − | 0.804113i | ||||
\(941\) | − | 1029.51i | − | 1.09406i | −0.837112 | − | 0.547032i | \(-0.815758\pi\) | ||
0.837112 | − | 0.547032i | \(-0.184242\pi\) | |||||||
\(942\) | −1025.73 | + | 359.062i | −1.08889 | + | 0.381170i | ||||
\(943\) | −1916.29 | −2.03212 | ||||||||
\(944\) | 128.138i | 0.135740i | ||||||||
\(945\) | 861.976 | − | 1090.20i | 0.912144 | − | 1.15365i | ||||
\(946\) | −303.229 | −0.320538 | ||||||||
\(947\) | 339.125i | 0.358104i | 0.983840 | + | 0.179052i | \(0.0573031\pi\) | ||||
−0.983840 | + | 0.179052i | \(0.942697\pi\) | |||||||
\(948\) | −133.063 | − | 380.120i | −0.140362 | − | 0.400971i | ||||
\(949\) | −74.0919 | −0.0780737 | ||||||||
\(950\) | −648.676 | − | 374.513i | −0.682817 | − | 0.394224i | ||||
\(951\) | −709.504 | + | 248.365i | −0.746061 | + | 0.261162i | ||||
\(952\) | 405.429 | + | 44.1191i | 0.425871 | + | 0.0463436i | ||||
\(953\) | 1756.40i | 1.84303i | 0.388348 | + | 0.921513i | \(0.373046\pi\) | ||||
−0.388348 | + | 0.921513i | \(0.626954\pi\) | |||||||
\(954\) | 2.91829 | + | 19.3290i | 0.00305901 | + | 0.0202610i | ||||
\(955\) | 1133.57 | − | 1963.39i | 1.18698 | − | 2.05591i | ||||
\(956\) | −131.413 | + | 75.8712i | −0.137461 | + | 0.0793631i | ||||
\(957\) | 13.6852 | + | 39.0944i | 0.0143001 | + | 0.0408510i | ||||
\(958\) | 151.460 | + | 262.337i | 0.158101 | + | 0.273838i | ||||
\(959\) | 1017.22 | + | 744.779i | 1.06071 | + | 0.776620i | ||||
\(960\) | 32.7885 | − | 173.409i | 0.0341547 | − | 0.180635i | ||||
\(961\) | 1738.40 | 1.80895 | ||||||||
\(962\) | −27.5444 | − | 15.9028i | −0.0286324 | − | 0.0165309i | ||||
\(963\) | −502.792 | + | 1282.03i | −0.522110 | + | 1.33129i | ||||
\(964\) | −401.491 | − | 695.403i | −0.416485 | − | 0.721372i | ||||
\(965\) | 225.862 | + | 130.401i | 0.234053 | + | 0.135131i | ||||
\(966\) | 168.394 | + | 724.644i | 0.174321 | + | 0.750149i | ||||
\(967\) | 193.430 | + | 335.031i | 0.200031 | + | 0.346464i | 0.948538 | − | 0.316663i | \(-0.102562\pi\) |
−0.748507 | + | 0.663127i | \(0.769229\pi\) | |||||||
\(968\) | −253.545 | − | 146.385i | −0.261927 | − | 0.151224i | ||||
\(969\) | 1062.54 | − | 371.947i | 1.09653 | − | 0.383846i | ||||
\(970\) | 146.490 | + | 253.728i | 0.151021 | + | 0.261575i | ||||
\(971\) | −940.140 | + | 542.790i | −0.968218 | + | 0.559001i | −0.898693 | − | 0.438579i | \(-0.855482\pi\) |
−0.0695257 | + | 0.997580i | \(0.522149\pi\) | |||||||
\(972\) | 482.910 | − | 54.7147i | 0.496821 | − | 0.0562908i | ||||
\(973\) | 750.586 | − | 1025.15i | 0.771414 | − | 1.05360i | ||||
\(974\) | −901.763 | − | 520.633i | −0.925834 | − | 0.534531i | ||||
\(975\) | −102.178 | − | 19.3199i | −0.104798 | − | 0.0198153i | ||||
\(976\) | 447.138 | 0.458133 | ||||||||
\(977\) | 1211.94i | 1.24047i | 0.784416 | + | 0.620236i | \(0.212963\pi\) | ||||
−0.784416 | + | 0.620236i | \(0.787037\pi\) | |||||||
\(978\) | 649.349 | + | 558.670i | 0.663956 | + | 0.571237i | ||||
\(979\) | −230.123 | + | 398.585i | −0.235059 | + | 0.407135i | ||||
\(980\) | −686.983 | + | 217.646i | −0.701003 | + | 0.222087i | ||||
\(981\) | 147.449 | + | 976.614i | 0.150305 | + | 0.995529i | ||||
\(982\) | 98.1579 | + | 170.014i | 0.0999571 | + | 0.173131i | ||||
\(983\) | −498.045 | + | 287.547i | −0.506658 | + | 0.292519i | −0.731459 | − | 0.681885i | \(-0.761160\pi\) |
0.224801 | + | 0.974405i | \(0.427827\pi\) | |||||||
\(984\) | 423.343 | − | 492.057i | 0.430226 | − | 0.500058i | ||||
\(985\) | −306.615 | + | 531.073i | −0.311285 | + | 0.539161i | ||||
\(986\) | 83.2850 | − | 48.0846i | 0.0844676 | − | 0.0487674i | ||||
\(987\) | −851.267 | − | 910.248i | −0.862480 | − | 0.922237i | ||||
\(988\) | 21.7206 | − | 37.6213i | 0.0219845 | − | 0.0380782i | ||||
\(989\) | −1112.23 | + | 642.148i | −1.12460 | + | 0.649290i | ||||
\(990\) | −244.125 | − | 305.967i | −0.246591 | − | 0.309058i | ||||
\(991\) | −747.247 | + | 1294.27i | −0.754033 | + | 1.30602i | 0.191821 | + | 0.981430i | \(0.438561\pi\) |
−0.945854 | + | 0.324593i | \(0.894773\pi\) | |||||||
\(992\) | 293.906i | 0.296276i | ||||||||
\(993\) | −9.62165 | − | 27.4861i | −0.00968947 | − | 0.0276799i | ||||
\(994\) | 303.408 | + | 688.262i | 0.305240 | + | 0.692416i | ||||
\(995\) | 1312.88 | − | 757.994i | 1.31948 | − | 0.761803i | ||||
\(996\) | 83.3821 | − | 440.985i | 0.0837170 | − | 0.442756i | ||||
\(997\) | −841.538 | − | 1457.59i | −0.844070 | − | 1.46197i | −0.886426 | − | 0.462870i | \(-0.846820\pi\) |
0.0423555 | − | 0.999103i | \(-0.486514\pi\) | |||||||
\(998\) | 1.47814 | + | 0.853405i | 0.00148110 | + | 0.000855115i | ||||
\(999\) | −18.8537 | + | 508.952i | −0.0188726 | + | 0.509461i |
(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 | 126.3.r.a.11.3 | yes | 32 | |
3.2 | odd | 2 | 378.3.r.a.305.16 | 32 | |||
7.2 | even | 3 | 126.3.i.a.65.8 | ✓ | 32 | ||
9.4 | even | 3 | 378.3.i.a.179.16 | 32 | |||
9.5 | odd | 6 | 126.3.i.a.95.8 | yes | 32 | ||
21.2 | odd | 6 | 378.3.i.a.359.9 | 32 | |||
63.23 | odd | 6 | inner | 126.3.r.a.23.11 | yes | 32 | |
63.58 | even | 3 | 378.3.r.a.233.8 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
126.3.i.a.65.8 | ✓ | 32 | 7.2 | even | 3 | ||
126.3.i.a.95.8 | yes | 32 | 9.5 | odd | 6 | ||
126.3.r.a.11.3 | yes | 32 | 1.1 | even | 1 | trivial | |
126.3.r.a.23.11 | yes | 32 | 63.23 | odd | 6 | inner | |
378.3.i.a.179.16 | 32 | 9.4 | even | 3 | |||
378.3.i.a.359.9 | 32 | 21.2 | odd | 6 | |||
378.3.r.a.233.8 | 32 | 63.58 | even | 3 | |||
378.3.r.a.305.16 | 32 | 3.2 | odd | 2 |