Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,4,Mod(26,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.26");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.s (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: | \(6.19520055060\) |
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 | 26.8 | ||
Character | \(\chi\) | \(=\) | 105.26 |
Dual form | 105.4.s.a.101.8 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.133140 | − | 0.0768685i | −0.0470722 | − | 0.0271771i | 0.476279 | − | 0.879294i | \(-0.341985\pi\) |
−0.523351 | + | 0.852117i | \(0.675318\pi\) | |||||||
\(3\) | 2.47104 | + | 4.57099i | 0.475551 | + | 0.879688i | ||||
\(4\) | −3.98818 | − | 6.90773i | −0.498523 | − | 0.863467i | ||||
\(5\) | −2.50000 | + | 4.33013i | −0.223607 | + | 0.387298i | ||||
\(6\) | 0.0223714 | − | 0.798528i | 0.00152218 | − | 0.0543329i | ||||
\(7\) | −15.0457 | + | 10.7995i | −0.812389 | + | 0.583116i | ||||
\(8\) | 2.45616i | 0.108548i | ||||||||
\(9\) | −14.7880 | + | 22.5902i | −0.547703 | + | 0.836673i | ||||
\(10\) | 0.665701 | − | 0.384343i | 0.0210513 | − | 0.0121540i | ||||
\(11\) | −14.9856 | + | 8.65197i | −0.410758 | + | 0.237152i | −0.691116 | − | 0.722744i | \(-0.742880\pi\) |
0.280357 | + | 0.959896i | \(0.409547\pi\) | |||||||
\(12\) | 21.7203 | − | 35.2992i | 0.522509 | − | 0.849167i | ||||
\(13\) | 36.4846i | 0.778385i | 0.921156 | + | 0.389192i | \(0.127246\pi\) | ||||
−0.921156 | + | 0.389192i | \(0.872754\pi\) | |||||||
\(14\) | 2.83332 | − | 0.281303i | 0.0540883 | − | 0.00537011i | ||||
\(15\) | −25.9706 | − | 0.727588i | −0.447038 | − | 0.0125242i | ||||
\(16\) | −31.7167 | + | 54.9349i | −0.495573 | + | 0.858357i | ||||
\(17\) | −14.8621 | − | 25.7418i | −0.212034 | − | 0.367254i | 0.740317 | − | 0.672258i | \(-0.234675\pi\) |
−0.952351 | + | 0.305004i | \(0.901342\pi\) | |||||||
\(18\) | 3.70535 | − | 1.87093i | 0.0485199 | − | 0.0244990i | ||||
\(19\) | −112.843 | − | 65.1498i | −1.36252 | − | 0.786652i | −0.372562 | − | 0.928007i | \(-0.621521\pi\) |
−0.989959 | + | 0.141355i | \(0.954854\pi\) | |||||||
\(20\) | 39.8818 | 0.445892 | ||||||||
\(21\) | −86.5426 | − | 42.0878i | −0.899292 | − | 0.437348i | ||||
\(22\) | 2.66026 | 0.0257804 | ||||||||
\(23\) | 134.961 | + | 77.9197i | 1.22353 | + | 0.706408i | 0.965670 | − | 0.259773i | \(-0.0836478\pi\) |
0.257865 | + | 0.966181i | \(0.416981\pi\) | |||||||
\(24\) | −11.2271 | + | 6.06926i | −0.0954883 | + | 0.0516201i | ||||
\(25\) | −12.5000 | − | 21.6506i | −0.100000 | − | 0.173205i | ||||
\(26\) | 2.80452 | − | 4.85757i | 0.0211543 | − | 0.0366403i | ||||
\(27\) | −139.801 | − | 11.7746i | −0.996472 | − | 0.0839268i | ||||
\(28\) | 134.605 | + | 60.8612i | 0.908495 | + | 0.410775i | ||||
\(29\) | 165.529i | 1.05993i | 0.848021 | + | 0.529963i | \(0.177794\pi\) | ||||
−0.848021 | + | 0.529963i | \(0.822206\pi\) | |||||||
\(30\) | 3.40180 | + | 2.09319i | 0.0207027 | + | 0.0127388i | ||||
\(31\) | 12.9990 | − | 7.50496i | 0.0753123 | − | 0.0434816i | −0.461871 | − | 0.886947i | \(-0.652822\pi\) |
0.537183 | + | 0.843466i | \(0.319488\pi\) | |||||||
\(32\) | 25.4623 | − | 14.7007i | 0.140661 | − | 0.0812105i | ||||
\(33\) | −76.5782 | − | 47.1200i | −0.403956 | − | 0.248562i | ||||
\(34\) | 4.56970i | 0.0230499i | ||||||||
\(35\) | −9.14885 | − | 92.1482i | −0.0441839 | − | 0.445026i | ||||
\(36\) | 215.024 | + | 12.0576i | 0.995482 | + | 0.0558224i | ||||
\(37\) | −16.8835 | + | 29.2431i | −0.0750170 | + | 0.129933i | −0.901094 | − | 0.433625i | \(-0.857234\pi\) |
0.826077 | + | 0.563558i | \(0.190568\pi\) | |||||||
\(38\) | 10.0159 | + | 17.3481i | 0.0427579 | + | 0.0740588i | ||||
\(39\) | −166.771 | + | 90.1547i | −0.684736 | + | 0.370162i | ||||
\(40\) | −10.6355 | − | 6.14040i | −0.0420404 | − | 0.0242721i | ||||
\(41\) | 274.227 | 1.04456 | 0.522282 | − | 0.852773i | \(-0.325081\pi\) | ||||
0.522282 | + | 0.852773i | \(0.325081\pi\) | |||||||
\(42\) | 8.28707 | + | 12.2560i | 0.0304458 | + | 0.0450271i | ||||
\(43\) | 248.354 | 0.880784 | 0.440392 | − | 0.897806i | \(-0.354840\pi\) | ||||
0.440392 | + | 0.897806i | \(0.354840\pi\) | |||||||
\(44\) | 119.531 | + | 69.0113i | 0.409545 | + | 0.236451i | ||||
\(45\) | −60.8484 | − | 120.509i | −0.201572 | − | 0.399210i | ||||
\(46\) | −11.9791 | − | 20.7485i | −0.0383963 | − | 0.0665043i | ||||
\(47\) | 229.515 | − | 397.532i | 0.712302 | − | 1.23374i | −0.251689 | − | 0.967808i | \(-0.580986\pi\) |
0.963991 | − | 0.265936i | \(-0.0856808\pi\) | |||||||
\(48\) | −329.480 | − | 9.23066i | −0.990757 | − | 0.0277569i | ||||
\(49\) | 109.744 | − | 324.970i | 0.319953 | − | 0.947434i | ||||
\(50\) | 3.84343i | 0.0108709i | ||||||||
\(51\) | 80.9411 | − | 131.543i | 0.222236 | − | 0.361172i | ||||
\(52\) | 252.026 | − | 145.507i | 0.672110 | − | 0.388043i | ||||
\(53\) | −211.972 | + | 122.382i | −0.549371 | + | 0.317179i | −0.748868 | − | 0.662719i | \(-0.769402\pi\) |
0.199497 | + | 0.979898i | \(0.436069\pi\) | |||||||
\(54\) | 17.7081 | + | 12.3140i | 0.0446252 | + | 0.0310319i | ||||
\(55\) | − | 86.5197i | − | 0.212115i | ||||||
\(56\) | −26.5252 | − | 36.9545i | −0.0632960 | − | 0.0881832i | ||||
\(57\) | 18.9609 | − | 676.791i | 0.0440602 | − | 1.57269i | ||||
\(58\) | 12.7239 | − | 22.0385i | 0.0288058 | − | 0.0498931i | ||||
\(59\) | 292.478 | + | 506.587i | 0.645379 | + | 1.11783i | 0.984214 | + | 0.176984i | \(0.0566340\pi\) |
−0.338834 | + | 0.940846i | \(0.610033\pi\) | |||||||
\(60\) | 98.5494 | + | 182.300i | 0.212045 | + | 0.392246i | ||||
\(61\) | −221.862 | − | 128.092i | −0.465680 | − | 0.268861i | 0.248749 | − | 0.968568i | \(-0.419980\pi\) |
−0.714430 | + | 0.699707i | \(0.753314\pi\) | |||||||
\(62\) | −2.30758 | −0.00472682 | ||||||||
\(63\) | −21.4667 | − | 499.586i | −0.0429294 | − | 0.999078i | ||||
\(64\) | 502.946 | 0.982317 | ||||||||
\(65\) | −157.983 | − | 91.2115i | −0.301467 | − | 0.174052i | ||||
\(66\) | 6.57359 | + | 12.1600i | 0.0122599 | + | 0.0226787i | ||||
\(67\) | −137.355 | − | 237.906i | −0.250457 | − | 0.433804i | 0.713195 | − | 0.700966i | \(-0.247248\pi\) |
−0.963652 | + | 0.267162i | \(0.913914\pi\) | |||||||
\(68\) | −118.545 | + | 205.326i | −0.211408 | + | 0.366169i | ||||
\(69\) | −22.6774 | + | 809.448i | −0.0395657 | + | 1.41226i | ||||
\(70\) | −5.86522 | + | 12.9719i | −0.0100147 | + | 0.0221491i | ||||
\(71\) | 1069.38i | 1.78750i | 0.448569 | + | 0.893748i | \(0.351934\pi\) | ||||
−0.448569 | + | 0.893748i | \(0.648066\pi\) | |||||||
\(72\) | −55.4851 | − | 36.3216i | −0.0908191 | − | 0.0594520i | ||||
\(73\) | −861.294 | + | 497.268i | −1.38092 | + | 0.797272i | −0.992268 | − | 0.124114i | \(-0.960391\pi\) |
−0.388648 | + | 0.921386i | \(0.627058\pi\) | |||||||
\(74\) | 4.49574 | − | 2.59562i | 0.00706242 | − | 0.00407749i | ||||
\(75\) | 68.0770 | − | 110.637i | 0.104811 | − | 0.170337i | ||||
\(76\) | 1039.32i | 1.56866i | ||||||||
\(77\) | 132.032 | − | 292.011i | 0.195409 | − | 0.432179i | ||||
\(78\) | 29.1340 | + | 0.816213i | 0.0422919 | + | 0.00118485i | ||||
\(79\) | −5.81624 | + | 10.0740i | −0.00828327 | + | 0.0143470i | −0.870137 | − | 0.492809i | \(-0.835970\pi\) |
0.861854 | + | 0.507156i | \(0.169303\pi\) | |||||||
\(80\) | −158.583 | − | 274.674i | −0.221627 | − | 0.383869i | ||||
\(81\) | −291.632 | − | 668.126i | −0.400044 | − | 0.916496i | ||||
\(82\) | −36.5107 | − | 21.0794i | −0.0491699 | − | 0.0283882i | ||||
\(83\) | 584.631 | 0.773152 | 0.386576 | − | 0.922258i | \(-0.373658\pi\) | ||||
0.386576 | + | 0.922258i | \(0.373658\pi\) | |||||||
\(84\) | 54.4163 | + | 765.667i | 0.0706822 | + | 0.994537i | ||||
\(85\) | 148.621 | 0.189649 | ||||||||
\(86\) | −33.0660 | − | 19.0906i | −0.0414604 | − | 0.0239372i | ||||
\(87\) | −756.630 | + | 409.027i | −0.932405 | + | 0.504049i | ||||
\(88\) | −21.2506 | − | 36.8071i | −0.0257423 | − | 0.0445870i | ||||
\(89\) | −548.569 | + | 950.149i | −0.653350 | + | 1.13164i | 0.328955 | + | 0.944346i | \(0.393304\pi\) |
−0.982305 | + | 0.187290i | \(0.940030\pi\) | |||||||
\(90\) | −1.16200 | + | 20.7220i | −0.00136095 | + | 0.0242698i | ||||
\(91\) | −394.014 | − | 548.935i | −0.453888 | − | 0.632352i | ||||
\(92\) | − | 1243.03i | − | 1.40864i | ||||||
\(93\) | 66.4260 | + | 40.8732i | 0.0740651 | + | 0.0455737i | ||||
\(94\) | −61.1154 | + | 35.2850i | −0.0670592 | + | 0.0387167i | ||||
\(95\) | 564.214 | − | 325.749i | 0.609338 | − | 0.351801i | ||||
\(96\) | 130.115 | + | 80.0621i | 0.138331 | + | 0.0851178i | ||||
\(97\) | 1117.90i | 1.17016i | 0.810976 | + | 0.585079i | \(0.198936\pi\) | ||||
−0.810976 | + | 0.585079i | \(0.801064\pi\) | |||||||
\(98\) | −39.5912 | + | 34.8307i | −0.0408094 | + | 0.0359024i | ||||
\(99\) | 26.1578 | − | 466.473i | 0.0265552 | − | 0.473559i | ||||
\(100\) | −99.7046 | + | 172.693i | −0.0997046 | + | 0.172693i | ||||
\(101\) | −864.575 | − | 1497.49i | −0.851767 | − | 1.47530i | −0.879612 | − | 0.475691i | \(-0.842198\pi\) |
0.0278458 | − | 0.999612i | \(-0.491135\pi\) | |||||||
\(102\) | −20.8881 | + | 11.2919i | −0.0202767 | + | 0.0109614i | ||||
\(103\) | −977.085 | − | 564.120i | −0.934709 | − | 0.539655i | −0.0464113 | − | 0.998922i | \(-0.514778\pi\) |
−0.888298 | + | 0.459268i | \(0.848112\pi\) | |||||||
\(104\) | −89.6120 | −0.0844921 | ||||||||
\(105\) | 398.602 | − | 269.521i | 0.370472 | − | 0.250500i | ||||
\(106\) | 37.6294 | 0.0344801 | ||||||||
\(107\) | −882.249 | − | 509.367i | −0.797105 | − | 0.460209i | 0.0453528 | − | 0.998971i | \(-0.485559\pi\) |
−0.842458 | + | 0.538762i | \(0.818892\pi\) | |||||||
\(108\) | 476.217 | + | 1012.67i | 0.424296 | + | 0.902260i | ||||
\(109\) | 73.1821 | + | 126.755i | 0.0643080 | + | 0.111385i | 0.896387 | − | 0.443273i | \(-0.146183\pi\) |
−0.832079 | + | 0.554657i | \(0.812849\pi\) | |||||||
\(110\) | −6.65064 | + | 11.5192i | −0.00576467 | + | 0.00998470i | ||||
\(111\) | −175.390 | − | 4.91369i | −0.149975 | − | 0.00420168i | ||||
\(112\) | −116.068 | − | 1169.05i | −0.0979235 | − | 0.986296i | ||||
\(113\) | 911.520i | 0.758837i | 0.925225 | + | 0.379419i | \(0.123876\pi\) | ||||
−0.925225 | + | 0.379419i | \(0.876124\pi\) | |||||||
\(114\) | −54.5484 | + | 88.6506i | −0.0448151 | + | 0.0728324i | ||||
\(115\) | −674.804 | + | 389.598i | −0.547181 | + | 0.315915i | ||||
\(116\) | 1143.43 | − | 660.158i | 0.915212 | − | 0.528398i | ||||
\(117\) | −824.193 | − | 539.533i | −0.651254 | − | 0.426323i | ||||
\(118\) | − | 89.9294i | − | 0.0701582i | ||||||
\(119\) | 501.607 | + | 226.801i | 0.386405 | + | 0.174713i | ||||
\(120\) | 1.78707 | − | 63.7879i | 0.00135947 | − | 0.0485251i | ||||
\(121\) | −515.787 | + | 893.369i | −0.387518 | + | 0.671201i | ||||
\(122\) | 19.6925 | + | 34.1084i | 0.0146137 | + | 0.0253117i | ||||
\(123\) | 677.625 | + | 1253.49i | 0.496743 | + | 0.918890i | ||||
\(124\) | −103.684 | − | 59.8623i | −0.0750898 | − | 0.0433531i | ||||
\(125\) | 125.000 | 0.0894427 | ||||||||
\(126\) | −35.5444 | + | 68.1651i | −0.0251313 | + | 0.0481955i | ||||
\(127\) | 2237.94 | 1.56366 | 0.781830 | − | 0.623491i | \(-0.214286\pi\) | ||||
0.781830 | + | 0.623491i | \(0.214286\pi\) | |||||||
\(128\) | −270.661 | − | 156.266i | −0.186900 | − | 0.107907i | ||||
\(129\) | 613.693 | + | 1135.23i | 0.418858 | + | 0.774815i | ||||
\(130\) | 14.0226 | + | 24.2878i | 0.00946048 | + | 0.0163860i | ||||
\(131\) | −700.695 | + | 1213.64i | −0.467329 | + | 0.809437i | −0.999303 | − | 0.0373234i | \(-0.988117\pi\) |
0.531975 | + | 0.846760i | \(0.321450\pi\) | |||||||
\(132\) | −20.0847 | + | 716.905i | −0.0132436 | + | 0.472716i | ||||
\(133\) | 2401.38 | − | 238.418i | 1.56561 | − | 0.155440i | ||||
\(134\) | 42.2332i | 0.0272268i | ||||||||
\(135\) | 400.488 | − | 575.920i | 0.255323 | − | 0.367165i | ||||
\(136\) | 63.2261 | − | 36.5036i | 0.0398646 | − | 0.0230159i | ||||
\(137\) | −775.480 | + | 447.724i | −0.483604 | + | 0.279209i | −0.721917 | − | 0.691980i | \(-0.756739\pi\) |
0.238313 | + | 0.971188i | \(0.423405\pi\) | |||||||
\(138\) | 65.2403 | − | 106.027i | 0.0402437 | − | 0.0654029i | ||||
\(139\) | − | 430.880i | − | 0.262926i | −0.991321 | − | 0.131463i | \(-0.958032\pi\) | ||
0.991321 | − | 0.131463i | \(-0.0419675\pi\) | |||||||
\(140\) | −600.048 | + | 430.702i | −0.362238 | + | 0.260007i | ||||
\(141\) | 2384.25 | + | 66.7969i | 1.42405 | + | 0.0398959i | ||||
\(142\) | 82.2018 | − | 142.378i | 0.0485790 | − | 0.0841414i | ||||
\(143\) | −315.664 | − | 546.745i | −0.184595 | − | 0.319728i | ||||
\(144\) | −771.963 | − | 1528.86i | −0.446738 | − | 0.884757i | ||||
\(145\) | −716.760 | − | 413.821i | −0.410508 | − | 0.237007i | ||||
\(146\) | 152.897 | 0.0866703 | ||||||||
\(147\) | 1756.62 | − | 301.374i | 0.985600 | − | 0.169094i | ||||
\(148\) | 269.338 | 0.149591 | ||||||||
\(149\) | −1266.00 | − | 730.926i | −0.696073 | − | 0.401878i | 0.109810 | − | 0.993953i | \(-0.464976\pi\) |
−0.805883 | + | 0.592075i | \(0.798309\pi\) | |||||||
\(150\) | −17.5683 | + | 9.49724i | −0.00956296 | + | 0.00516964i | ||||
\(151\) | −757.698 | − | 1312.37i | −0.408348 | − | 0.707280i | 0.586357 | − | 0.810053i | \(-0.300562\pi\) |
−0.994705 | + | 0.102773i | \(0.967228\pi\) | |||||||
\(152\) | 160.018 | − | 277.160i | 0.0853895 | − | 0.147899i | ||||
\(153\) | 801.292 | + | 44.9331i | 0.423403 | + | 0.0237426i | ||||
\(154\) | −40.0253 | + | 28.7293i | −0.0209437 | + | 0.0150329i | ||||
\(155\) | 75.0496i | 0.0388911i | ||||||||
\(156\) | 1287.88 | + | 792.455i | 0.660979 | + | 0.406713i | ||||
\(157\) | 1490.94 | − | 860.793i | 0.757897 | − | 0.437572i | −0.0706433 | − | 0.997502i | \(-0.522505\pi\) |
0.828540 | + | 0.559930i | \(0.189172\pi\) | |||||||
\(158\) | 1.54875 | − | 0.894172i | 0.000779823 | − | 0.000450231i | ||||
\(159\) | −1083.20 | − | 666.513i | −0.540273 | − | 0.332440i | ||||
\(160\) | 147.007i | 0.0726368i | ||||||||
\(161\) | −2872.07 | + | 285.150i | −1.40590 | + | 0.139584i | ||||
\(162\) | −12.5299 | + | 111.372i | −0.00607680 | + | 0.0540135i | ||||
\(163\) | 480.549 | − | 832.334i | 0.230917 | − | 0.399960i | −0.727161 | − | 0.686467i | \(-0.759161\pi\) |
0.958078 | + | 0.286507i | \(0.0924941\pi\) | |||||||
\(164\) | −1093.67 | − | 1894.29i | −0.520739 | − | 0.901946i | ||||
\(165\) | 395.481 | − | 213.793i | 0.186595 | − | 0.100871i | ||||
\(166\) | −77.8379 | − | 44.9398i | −0.0363940 | − | 0.0210121i | ||||
\(167\) | 41.4822 | 0.0192215 | 0.00961075 | − | 0.999954i | \(-0.496941\pi\) | ||||
0.00961075 | + | 0.999954i | \(0.496941\pi\) | |||||||
\(168\) | 103.374 | − | 212.562i | 0.0474732 | − | 0.0976163i | ||||
\(169\) | 865.875 | 0.394117 | ||||||||
\(170\) | −19.7874 | − | 11.4242i | −0.00892719 | − | 0.00515412i | ||||
\(171\) | 3140.46 | − | 1585.70i | 1.40443 | − | 0.709134i | ||||
\(172\) | −990.483 | − | 1715.57i | −0.439091 | − | 0.760528i | ||||
\(173\) | 1109.55 | − | 1921.80i | 0.487616 | − | 0.844575i | −0.512283 | − | 0.858817i | \(-0.671200\pi\) |
0.999899 | + | 0.0142416i | \(0.00453340\pi\) | |||||||
\(174\) | 132.179 | + | 3.70311i | 0.0575889 | + | 0.00161340i | ||||
\(175\) | 421.886 | + | 190.755i | 0.182237 | + | 0.0823984i | ||||
\(176\) | − | 1097.65i | − | 0.470103i | ||||||
\(177\) | −1592.88 | + | 2588.71i | −0.676431 | + | 1.09932i | ||||
\(178\) | 146.073 | − | 84.3353i | 0.0615092 | − | 0.0355124i | ||||
\(179\) | 454.441 | − | 262.372i | 0.189757 | − | 0.109556i | −0.402112 | − | 0.915591i | \(-0.631724\pi\) |
0.591869 | + | 0.806034i | \(0.298390\pi\) | |||||||
\(180\) | −589.771 | + | 900.937i | −0.244216 | + | 0.373066i | ||||
\(181\) | 3053.58i | 1.25398i | 0.779026 | + | 0.626992i | \(0.215714\pi\) | ||||
−0.779026 | + | 0.626992i | \(0.784286\pi\) | |||||||
\(182\) | 10.2632 | + | 103.373i | 0.00418001 | + | 0.0421015i | ||||
\(183\) | 37.2793 | − | 1330.65i | 0.0150588 | − | 0.537510i | ||||
\(184\) | −191.383 | + | 331.485i | −0.0766791 | + | 0.132812i | ||||
\(185\) | −84.4174 | − | 146.215i | −0.0335486 | − | 0.0581079i | ||||
\(186\) | −5.70211 | − | 10.5479i | −0.00224784 | − | 0.00415813i | ||||
\(187\) | 445.435 | + | 257.172i | 0.174190 | + | 0.100568i | ||||
\(188\) | −3661.39 | −1.42040 | ||||||||
\(189\) | 2230.56 | − | 1332.62i | 0.858462 | − | 0.512877i | ||||
\(190\) | −100.159 | −0.0382438 | ||||||||
\(191\) | 3214.37 | + | 1855.82i | 1.21772 | + | 0.703049i | 0.964429 | − | 0.264343i | \(-0.0851550\pi\) |
0.253287 | + | 0.967391i | \(0.418488\pi\) | |||||||
\(192\) | 1242.80 | + | 2298.97i | 0.467142 | + | 0.864133i | ||||
\(193\) | 1684.11 | + | 2916.97i | 0.628109 | + | 1.08792i | 0.987931 | + | 0.154895i | \(0.0495041\pi\) |
−0.359822 | + | 0.933021i | \(0.617163\pi\) | |||||||
\(194\) | 85.9311 | − | 148.837i | 0.0318015 | − | 0.0550819i | ||||
\(195\) | 26.5457 | − | 947.526i | 0.00974862 | − | 0.347968i | ||||
\(196\) | −2682.48 | + | 537.958i | −0.977581 | + | 0.196049i | ||||
\(197\) | 4539.50i | 1.64176i | 0.571103 | + | 0.820879i | \(0.306516\pi\) | ||||
−0.571103 | + | 0.820879i | \(0.693484\pi\) | |||||||
\(198\) | −39.3398 | + | 60.0957i | −0.0141200 | + | 0.0215698i | ||||
\(199\) | −618.443 | + | 357.058i | −0.220303 | + | 0.127192i | −0.606090 | − | 0.795396i | \(-0.707263\pi\) |
0.385788 | + | 0.922588i | \(0.373930\pi\) | |||||||
\(200\) | 53.1774 | − | 30.7020i | 0.0188011 | − | 0.0108548i | ||||
\(201\) | 748.059 | − | 1215.73i | 0.262508 | − | 0.426620i | ||||
\(202\) | 265.834i | 0.0925943i | ||||||||
\(203\) | −1787.62 | − | 2490.49i | −0.618060 | − | 0.861073i | ||||
\(204\) | −1231.47 | − | 34.5008i | −0.422649 | − | 0.0118409i | ||||
\(205\) | −685.568 | + | 1187.44i | −0.233571 | + | 0.404558i | ||||
\(206\) | 86.7262 | + | 150.214i | 0.0293325 | + | 0.0508054i | ||||
\(207\) | −3756.02 | + | 1896.52i | −1.26117 | + | 0.636797i | ||||
\(208\) | −2004.28 | − | 1157.17i | −0.668132 | − | 0.385746i | ||||
\(209\) | 2254.70 | 0.746223 | ||||||||
\(210\) | −73.7876 | + | 5.24412i | −0.0242468 | + | 0.00172323i | ||||
\(211\) | −3219.39 | −1.05039 | −0.525194 | − | 0.850983i | \(-0.676007\pi\) | ||||
−0.525194 | + | 0.850983i | \(0.676007\pi\) | |||||||
\(212\) | 1690.77 | + | 976.166i | 0.547748 | + | 0.316242i | ||||
\(213\) | −4888.14 | + | 2642.48i | −1.57244 | + | 0.850046i | ||||
\(214\) | 78.3086 | + | 135.634i | 0.0250143 | + | 0.0433261i | ||||
\(215\) | −620.886 | + | 1075.41i | −0.196949 | + | 0.341126i | ||||
\(216\) | 28.9203 | − | 343.374i | 0.00911008 | − | 0.108165i | ||||
\(217\) | −114.529 | + | 253.299i | −0.0358281 | + | 0.0792398i | ||||
\(218\) | − | 22.5016i | − | 0.00699083i | ||||||
\(219\) | −4401.30 | − | 2708.20i | −1.35805 | − | 0.835632i | ||||
\(220\) | −597.655 | + | 345.056i | −0.183154 | + | 0.105744i | ||||
\(221\) | 939.180 | − | 542.236i | 0.285865 | − | 0.165044i | ||||
\(222\) | 22.9737 | + | 14.1361i | 0.00694547 | + | 0.00427368i | ||||
\(223\) | − | 4724.84i | − | 1.41883i | −0.704792 | − | 0.709414i | \(-0.748960\pi\) | ||
0.704792 | − | 0.709414i | \(-0.251040\pi\) | |||||||
\(224\) | −224.338 | + | 496.160i | −0.0669161 | + | 0.147996i | ||||
\(225\) | 673.941 | + | 37.7918i | 0.199686 | + | 0.0111976i | ||||
\(226\) | 70.0672 | − | 121.360i | 0.0206230 | − | 0.0357201i | ||||
\(227\) | 1390.18 | + | 2407.86i | 0.406474 | + | 0.704033i | 0.994492 | − | 0.104814i | \(-0.0334249\pi\) |
−0.588018 | + | 0.808848i | \(0.700092\pi\) | |||||||
\(228\) | −4750.71 | + | 2568.19i | −1.37993 | + | 0.745976i | ||||
\(229\) | 2545.85 | + | 1469.85i | 0.734649 | + | 0.424150i | 0.820120 | − | 0.572191i | \(-0.193906\pi\) |
−0.0854716 | + | 0.996341i | \(0.527240\pi\) | |||||||
\(230\) | 119.791 | 0.0343427 | ||||||||
\(231\) | 1661.04 | − | 118.051i | 0.473110 | − | 0.0336241i | ||||
\(232\) | −406.564 | −0.115053 | ||||||||
\(233\) | 5228.24 | + | 3018.53i | 1.47002 | + | 0.848714i | 0.999434 | − | 0.0336426i | \(-0.0107108\pi\) |
0.470582 | + | 0.882356i | \(0.344044\pi\) | |||||||
\(234\) | 68.2601 | + | 135.188i | 0.0190697 | + | 0.0377672i | ||||
\(235\) | 1147.58 | + | 1987.66i | 0.318551 | + | 0.551747i | ||||
\(236\) | 2332.91 | − | 4040.72i | 0.643473 | − | 1.11453i | ||||
\(237\) | −60.4205 | − | 1.69273i | −0.0165600 | − | 0.000463944i | ||||
\(238\) | −49.3502 | − | 68.7541i | −0.0134408 | − | 0.0187255i | ||||
\(239\) | − | 4322.85i | − | 1.16996i | −0.811046 | − | 0.584982i | \(-0.801101\pi\) | ||
0.811046 | − | 0.584982i | \(-0.198899\pi\) | |||||||
\(240\) | 863.670 | − | 1403.61i | 0.232290 | − | 0.377512i | ||||
\(241\) | −3915.54 | + | 2260.64i | −1.04657 | + | 0.604235i | −0.921686 | − | 0.387937i | \(-0.873188\pi\) |
−0.124880 | + | 0.992172i | \(0.539854\pi\) | |||||||
\(242\) | 137.344 | − | 79.2956i | 0.0364827 | − | 0.0210633i | ||||
\(243\) | 2333.37 | − | 2984.01i | 0.615989 | − | 0.787754i | ||||
\(244\) | 2043.42i | 0.536133i | ||||||||
\(245\) | 1132.80 | + | 1287.63i | 0.295396 | + | 0.335770i | ||||
\(246\) | 6.13486 | − | 218.978i | 0.00159002 | − | 0.0567542i | ||||
\(247\) | 2376.96 | − | 4117.02i | 0.612318 | − | 1.06057i | ||||
\(248\) | 18.4334 | + | 31.9275i | 0.00471984 | + | 0.00817500i | ||||
\(249\) | 1444.64 | + | 2672.35i | 0.367673 | + | 0.680133i | ||||
\(250\) | −16.6425 | − | 9.60857i | −0.00421026 | − | 0.00243080i | ||||
\(251\) | −3711.55 | −0.933352 | −0.466676 | − | 0.884428i | \(-0.654549\pi\) | ||||
−0.466676 | + | 0.884428i | \(0.654549\pi\) | |||||||
\(252\) | −3365.39 | + | 2140.73i | −0.841270 | + | 0.535131i | ||||
\(253\) | −2696.64 | −0.670103 | ||||||||
\(254\) | −297.960 | − | 172.027i | −0.0736049 | − | 0.0424958i | ||||
\(255\) | 367.247 | + | 679.344i | 0.0901878 | + | 0.166832i | ||||
\(256\) | −1987.76 | − | 3442.90i | −0.485293 | − | 0.840553i | ||||
\(257\) | −1628.67 | + | 2820.94i | −0.395307 | + | 0.684691i | −0.993140 | − | 0.116929i | \(-0.962695\pi\) |
0.597834 | + | 0.801620i | \(0.296028\pi\) | |||||||
\(258\) | 5.55605 | − | 198.318i | 0.00134072 | − | 0.0478556i | ||||
\(259\) | −61.7858 | − | 622.314i | −0.0148231 | − | 0.149300i | ||||
\(260\) | 1455.07i | 0.347076i | ||||||||
\(261\) | −3739.32 | − | 2447.83i | −0.886812 | − | 0.580525i | ||||
\(262\) | 186.581 | − | 107.723i | 0.0439963 | − | 0.0254013i | ||||
\(263\) | 3190.09 | − | 1841.80i | 0.747945 | − | 0.431826i | −0.0770059 | − | 0.997031i | \(-0.524536\pi\) |
0.824951 | + | 0.565204i | \(0.191203\pi\) | |||||||
\(264\) | 115.734 | − | 188.088i | 0.0269809 | − | 0.0438486i | ||||
\(265\) | − | 1223.82i | − | 0.283694i | ||||||
\(266\) | −338.047 | − | 152.847i | −0.0779209 | − | 0.0352318i | ||||
\(267\) | −5698.66 | − | 159.653i | −1.30619 | − | 0.0365940i | ||||
\(268\) | −1095.60 | + | 1897.63i | −0.249717 | + | 0.432523i | ||||
\(269\) | −2305.20 | − | 3992.72i | −0.522492 | − | 0.904984i | −0.999658 | − | 0.0261698i | \(-0.991669\pi\) |
0.477165 | − | 0.878814i | \(-0.341664\pi\) | |||||||
\(270\) | −97.5912 | + | 45.8932i | −0.0219971 | + | 0.0103443i | ||||
\(271\) | 4246.10 | + | 2451.49i | 0.951780 | + | 0.549510i | 0.893633 | − | 0.448798i | \(-0.148148\pi\) |
0.0581466 | + | 0.998308i | \(0.481481\pi\) | |||||||
\(272\) | 1885.50 | 0.420313 | ||||||||
\(273\) | 1535.56 | − | 3157.47i | 0.340425 | − | 0.699996i | ||||
\(274\) | 137.663 | 0.0303524 | ||||||||
\(275\) | 374.641 | + | 216.299i | 0.0821517 | + | 0.0474303i | ||||
\(276\) | 5681.89 | − | 3071.58i | 1.23917 | − | 0.669881i | ||||
\(277\) | 1735.84 | + | 3006.55i | 0.376521 | + | 0.652153i | 0.990553 | − | 0.137128i | \(-0.0437870\pi\) |
−0.614033 | + | 0.789281i | \(0.710454\pi\) | |||||||
\(278\) | −33.1211 | + | 57.3674i | −0.00714558 | + | 0.0123765i | ||||
\(279\) | −22.6900 | + | 404.632i | −0.00486888 | + | 0.0868268i | ||||
\(280\) | 226.331 | − | 22.4710i | 0.0483066 | − | 0.00479607i | ||||
\(281\) | 5764.29i | 1.22373i | 0.790962 | + | 0.611866i | \(0.209581\pi\) | ||||
−0.790962 | + | 0.611866i | \(0.790419\pi\) | |||||||
\(282\) | −312.306 | − | 192.168i | −0.0659487 | − | 0.0405795i | ||||
\(283\) | 1522.02 | − | 878.739i | 0.319699 | − | 0.184578i | −0.331559 | − | 0.943434i | \(-0.607575\pi\) |
0.651258 | + | 0.758856i | \(0.274241\pi\) | |||||||
\(284\) | 7387.01 | − | 4264.89i | 1.54344 | − | 0.891108i | ||||
\(285\) | 2883.19 | + | 1774.08i | 0.599247 | + | 0.368728i | ||||
\(286\) | 97.0584i | 0.0200671i | ||||||||
\(287\) | −4125.93 | + | 2961.50i | −0.848592 | + | 0.609101i | ||||
\(288\) | −44.4451 | + | 792.591i | −0.00909359 | + | 0.162166i | ||||
\(289\) | 2014.74 | − | 3489.63i | 0.410083 | − | 0.710285i | ||||
\(290\) | 63.6197 | + | 110.193i | 0.0128823 | + | 0.0223129i | ||||
\(291\) | −5109.90 | + | 2762.36i | −1.02937 | + | 0.556470i | ||||
\(292\) | 6870.00 | + | 3966.39i | 1.37684 | + | 0.794917i | ||||
\(293\) | 3080.27 | 0.614168 | 0.307084 | − | 0.951682i | \(-0.400647\pi\) | ||||
0.307084 | + | 0.951682i | \(0.400647\pi\) | |||||||
\(294\) | −257.042 | − | 94.9035i | −0.0509898 | − | 0.0188261i | ||||
\(295\) | −2924.78 | −0.577245 | ||||||||
\(296\) | −71.8256 | − | 41.4685i | −0.0141040 | − | 0.00814294i | ||||
\(297\) | 2196.88 | − | 1033.11i | 0.429213 | − | 0.201841i | ||||
\(298\) | 112.370 | + | 194.631i | 0.0218438 | + | 0.0378345i | ||||
\(299\) | −2842.87 | + | 4923.99i | −0.549857 | + | 0.952381i | ||||
\(300\) | −1035.75 | − | 29.0175i | −0.199331 | − | 0.00558443i | ||||
\(301\) | −3736.66 | + | 2682.09i | −0.715539 | + | 0.513599i | ||||
\(302\) | 232.973i | 0.0443909i | ||||||||
\(303\) | 4708.61 | − | 7652.31i | 0.892748 | − | 1.45087i | ||||
\(304\) | 7157.99 | − | 4132.67i | 1.35046 | − | 0.779687i | ||||
\(305\) | 1109.31 | − | 640.460i | 0.208259 | − | 0.120238i | ||||
\(306\) | −103.230 | − | 67.5766i | −0.0192852 | − | 0.0126245i | ||||
\(307\) | − | 8885.73i | − | 1.65191i | −0.563738 | − | 0.825953i | \(-0.690637\pi\) | ||
0.563738 | − | 0.825953i | \(-0.309363\pi\) | |||||||
\(308\) | −2543.71 | + | 252.549i | −0.470588 | + | 0.0467219i | ||||
\(309\) | 164.179 | − | 5860.21i | 0.0302259 | − | 1.07889i | ||||
\(310\) | 5.76895 | − | 9.99211i | 0.00105695 | − | 0.00183069i | ||||
\(311\) | −920.877 | − | 1595.01i | −0.167904 | − | 0.290818i | 0.769779 | − | 0.638311i | \(-0.220367\pi\) |
−0.937683 | + | 0.347493i | \(0.887033\pi\) | |||||||
\(312\) | −221.434 | − | 409.616i | −0.0401803 | − | 0.0743267i | ||||
\(313\) | 374.901 | + | 216.449i | 0.0677017 | + | 0.0390876i | 0.533469 | − | 0.845820i | \(-0.320888\pi\) |
−0.465767 | + | 0.884907i | \(0.654222\pi\) | |||||||
\(314\) | −264.672 | −0.0475678 | ||||||||
\(315\) | 2216.94 | + | 1156.01i | 0.396541 | + | 0.206774i | ||||
\(316\) | 92.7850 | 0.0165176 | ||||||||
\(317\) | 3607.61 | + | 2082.86i | 0.639192 | + | 0.369037i | 0.784303 | − | 0.620378i | \(-0.213021\pi\) |
−0.145112 | + | 0.989415i | \(0.546354\pi\) | |||||||
\(318\) | 92.9836 | + | 172.004i | 0.0163970 | + | 0.0303317i | ||||
\(319\) | −1432.15 | − | 2480.55i | −0.251363 | − | 0.435374i | ||||
\(320\) | −1257.37 | + | 2177.82i | −0.219653 | + | 0.380450i | ||||
\(321\) | 148.244 | − | 5291.42i | 0.0257762 | − | 0.920057i | ||||
\(322\) | 404.306 | + | 182.807i | 0.0699724 | + | 0.0316379i | ||||
\(323\) | 3873.04i | 0.667188i | ||||||||
\(324\) | −3452.15 | + | 4679.12i | −0.591933 | + | 0.802319i | ||||
\(325\) | 789.914 | − | 456.057i | 0.134820 | − | 0.0778385i | ||||
\(326\) | −127.961 | + | 73.8781i | −0.0217395 | + | 0.0125513i | ||||
\(327\) | −398.561 | + | 647.731i | −0.0674021 | + | 0.109540i | ||||
\(328\) | 673.546i | 0.113385i | ||||||||
\(329\) | 839.919 | + | 8459.76i | 0.140748 | + | 1.41763i | ||||
\(330\) | −69.0884 | − | 1.93557i | −0.0115248 | − | 0.000322878i | ||||
\(331\) | 90.4559 | − | 156.674i | 0.0150209 | − | 0.0260169i | −0.858417 | − | 0.512952i | \(-0.828552\pi\) |
0.873438 | + | 0.486935i | \(0.161885\pi\) | |||||||
\(332\) | −2331.62 | − | 4038.48i | −0.385434 | − | 0.667591i | ||||
\(333\) | −410.933 | − | 813.846i | −0.0676246 | − | 0.133929i | ||||
\(334\) | −5.52295 | − | 3.18868i | −0.000904797 | − | 0.000522385i | ||||
\(335\) | 1373.55 | 0.224016 | ||||||||
\(336\) | 5056.93 | − | 3419.32i | 0.821066 | − | 0.555176i | ||||
\(337\) | 1270.88 | 0.205428 | 0.102714 | − | 0.994711i | \(-0.467247\pi\) | ||||
0.102714 | + | 0.994711i | \(0.467247\pi\) | |||||||
\(338\) | −115.283 | − | 66.5585i | −0.0185519 | − | 0.0107110i | ||||
\(339\) | −4166.55 | + | 2252.40i | −0.667540 | + | 0.360866i | ||||
\(340\) | −592.726 | − | 1026.63i | −0.0945443 | − | 0.163756i | ||||
\(341\) | −129.865 | + | 224.933i | −0.0206235 | + | 0.0357209i | ||||
\(342\) | −540.012 | − | 30.2816i | −0.0853816 | − | 0.00478784i | ||||
\(343\) | 1858.33 | + | 6074.56i | 0.292537 | + | 0.956254i | ||||
\(344\) | 609.998i | 0.0956073i | ||||||||
\(345\) | −3448.32 | − | 2121.82i | −0.538119 | − | 0.331115i | ||||
\(346\) | −295.451 | + | 170.579i | −0.0459063 | + | 0.0265040i | ||||
\(347\) | 7237.61 | − | 4178.64i | 1.11970 | − | 0.646458i | 0.178374 | − | 0.983963i | \(-0.442916\pi\) |
0.941324 | + | 0.337505i | \(0.109583\pi\) | |||||||
\(348\) | 5843.03 | + | 3595.32i | 0.900055 | + | 0.553821i | ||||
\(349\) | − | 8009.35i | − | 1.22845i | −0.789129 | − | 0.614227i | \(-0.789468\pi\) | ||
0.789129 | − | 0.614227i | \(-0.210532\pi\) | |||||||
\(350\) | −41.5069 | − | 57.8269i | −0.00633896 | − | 0.00883136i | ||||
\(351\) | 429.591 | − | 5100.59i | 0.0653273 | − | 0.775639i | ||||
\(352\) | −254.379 | + | 440.598i | −0.0385184 | + | 0.0667158i | ||||
\(353\) | −1606.90 | − | 2783.23i | −0.242285 | − | 0.419649i | 0.719080 | − | 0.694927i | \(-0.244563\pi\) |
−0.961365 | + | 0.275278i | \(0.911230\pi\) | |||||||
\(354\) | 411.067 | − | 222.219i | 0.0617174 | − | 0.0333638i | ||||
\(355\) | −4630.56 | − | 2673.45i | −0.692295 | − | 0.399696i | ||||
\(356\) | 8751.17 | 1.30284 | ||||||||
\(357\) | 202.784 | + | 2853.28i | 0.0300629 | + | 0.423001i | ||||
\(358\) | −80.6725 | −0.0119097 | ||||||||
\(359\) | −6481.42 | − | 3742.05i | −0.952859 | − | 0.550134i | −0.0588913 | − | 0.998264i | \(-0.518757\pi\) |
−0.893968 | + | 0.448131i | \(0.852090\pi\) | |||||||
\(360\) | 295.990 | − | 149.453i | 0.0433334 | − | 0.0218802i | ||||
\(361\) | 5059.49 | + | 8763.30i | 0.737643 | + | 1.27763i | ||||
\(362\) | 234.725 | − | 406.555i | 0.0340797 | − | 0.0590278i | ||||
\(363\) | −5358.11 | − | 150.112i | −0.774733 | − | 0.0217048i | ||||
\(364\) | −2220.50 | + | 4910.99i | −0.319741 | + | 0.707159i | ||||
\(365\) | − | 4972.68i | − | 0.713102i | ||||||
\(366\) | −107.248 | + | 174.297i | −0.0153168 | + | 0.0248925i | ||||
\(367\) | −1091.71 | + | 630.297i | −0.155277 | + | 0.0896491i | −0.575625 | − | 0.817714i | \(-0.695241\pi\) |
0.420348 | + | 0.907363i | \(0.361908\pi\) | |||||||
\(368\) | −8561.02 | + | 4942.70i | −1.21270 | + | 0.700153i | ||||
\(369\) | −4055.26 | + | 6194.84i | −0.572110 | + | 0.873958i | ||||
\(370\) | 25.9562i | 0.00364702i | ||||||||
\(371\) | 1867.60 | − | 4130.51i | 0.261351 | − | 0.578020i | ||||
\(372\) | 17.4220 | − | 621.863i | 0.00242820 | − | 0.0866723i | ||||
\(373\) | −4319.97 | + | 7482.40i | −0.599676 | + | 1.03867i | 0.393192 | + | 0.919456i | \(0.371371\pi\) |
−0.992869 | + | 0.119214i | \(0.961963\pi\) | |||||||
\(374\) | −39.5369 | − | 68.4799i | −0.00546632 | − | 0.00946794i | ||||
\(375\) | 308.879 | + | 571.374i | 0.0425346 | + | 0.0786817i | ||||
\(376\) | 976.401 | + | 563.726i | 0.133920 | + | 0.0773190i | ||||
\(377\) | −6039.24 | −0.825031 | ||||||||
\(378\) | −399.414 | + | 5.96532i | −0.0543482 | + | 0.000811701i | ||||
\(379\) | −14223.5 | −1.92773 | −0.963867 | − | 0.266384i | \(-0.914171\pi\) | ||||
−0.963867 | + | 0.266384i | \(0.914171\pi\) | |||||||
\(380\) | −4500.37 | − | 2598.29i | −0.607538 | − | 0.350762i | ||||
\(381\) | 5530.02 | + | 10229.6i | 0.743600 | + | 1.37553i | ||||
\(382\) | −285.308 | − | 494.168i | −0.0382137 | − | 0.0661880i | ||||
\(383\) | 5208.11 | − | 9020.72i | 0.694836 | − | 1.20349i | −0.275400 | − | 0.961330i | \(-0.588810\pi\) |
0.970236 | − | 0.242162i | \(-0.0778564\pi\) | |||||||
\(384\) | 45.4789 | − | 1623.33i | 0.00604385 | − | 0.215729i | ||||
\(385\) | 934.365 | + | 1301.75i | 0.123687 | + | 0.172320i | ||||
\(386\) | − | 517.821i | − | 0.0682808i | ||||||
\(387\) | −3672.66 | + | 5610.37i | −0.482408 | + | 0.736928i | ||||
\(388\) | 7722.14 | − | 4458.38i | 1.01039 | − | 0.583350i | ||||
\(389\) | 10797.5 | − | 6233.94i | 1.40734 | − | 0.812528i | 0.412209 | − | 0.911089i | \(-0.364757\pi\) |
0.995131 | + | 0.0985609i | \(0.0314239\pi\) | |||||||
\(390\) | −76.3692 | + | 124.113i | −0.00991565 | + | 0.0161147i | ||||
\(391\) | − | 4632.19i | − | 0.599130i | ||||||
\(392\) | 798.177 | + | 269.548i | 0.102842 | + | 0.0347302i | ||||
\(393\) | −7278.98 | − | 203.927i | −0.934291 | − | 0.0261750i | ||||
\(394\) | 348.945 | − | 604.390i | 0.0446183 | − | 0.0772811i | ||||
\(395\) | −29.0812 | − | 50.3701i | −0.00370439 | − | 0.00641620i | ||||
\(396\) | −3326.60 | + | 1679.69i | −0.422141 | + | 0.213150i | ||||
\(397\) | −8261.81 | − | 4769.96i | −1.04445 | − | 0.603016i | −0.123363 | − | 0.992362i | \(-0.539368\pi\) |
−0.921092 | + | 0.389346i | \(0.872701\pi\) | |||||||
\(398\) | 109.786 | 0.0138268 | ||||||||
\(399\) | 7023.69 | + | 10387.5i | 0.881264 | + | 1.30333i | ||||
\(400\) | 1585.83 | 0.198229 | ||||||||
\(401\) | 774.728 | + | 447.290i | 0.0964790 | + | 0.0557022i | 0.547463 | − | 0.836830i | \(-0.315594\pi\) |
−0.450984 | + | 0.892532i | \(0.648927\pi\) | |||||||
\(402\) | −193.048 | + | 104.360i | −0.0239511 | + | 0.0129477i | ||||
\(403\) | 273.815 | + | 474.262i | 0.0338454 | + | 0.0586220i | ||||
\(404\) | −6896.17 | + | 11944.5i | −0.849250 | + | 1.47094i | ||||
\(405\) | 3622.15 | + | 407.511i | 0.444410 | + | 0.0499984i | ||||
\(406\) | 46.5637 | + | 468.995i | 0.00569192 | + | 0.0573297i | ||||
\(407\) | − | 584.302i | − | 0.0711616i | ||||||
\(408\) | 323.091 | + | 198.804i | 0.0392044 | + | 0.0241232i | ||||
\(409\) | −2148.44 | + | 1240.40i | −0.259739 | + | 0.149961i | −0.624216 | − | 0.781252i | \(-0.714581\pi\) |
0.364476 | + | 0.931213i | \(0.381248\pi\) | |||||||
\(410\) | 182.553 | − | 105.397i | 0.0219894 | − | 0.0126956i | ||||
\(411\) | −3962.78 | − | 2438.37i | −0.475595 | − | 0.292643i | ||||
\(412\) | 8999.26i | 1.07612i | ||||||||
\(413\) | −9871.38 | − | 4463.33i | −1.17612 | − | 0.531782i | ||||
\(414\) | 645.859 | + | 36.2170i | 0.0766721 | + | 0.00429944i | ||||
\(415\) | −1461.58 | + | 2531.53i | −0.172882 | + | 0.299441i | ||||
\(416\) | 536.348 | + | 928.981i | 0.0632130 | + | 0.109488i | ||||
\(417\) | 1969.55 | − | 1064.72i | 0.231293 | − | 0.125035i | ||||
\(418\) | −300.191 | − | 173.315i | −0.0351263 | − | 0.0202802i | ||||
\(419\) | 2031.63 | 0.236878 | 0.118439 | − | 0.992961i | \(-0.462211\pi\) | ||||
0.118439 | + | 0.992961i | \(0.462211\pi\) | |||||||
\(420\) | −3451.48 | − | 1678.54i | −0.400988 | − | 0.195010i | ||||
\(421\) | −8997.00 | −1.04154 | −0.520768 | − | 0.853698i | \(-0.674354\pi\) | ||||
−0.520768 | + | 0.853698i | \(0.674354\pi\) | |||||||
\(422\) | 428.630 | + | 247.470i | 0.0494440 | + | 0.0285465i | ||||
\(423\) | 5586.25 | + | 11063.5i | 0.642110 | + | 1.27169i | ||||
\(424\) | −300.590 | − | 520.638i | −0.0344292 | − | 0.0596331i | ||||
\(425\) | −371.551 | + | 643.546i | −0.0424068 | + | 0.0734507i | ||||
\(426\) | 853.931 | + | 23.9236i | 0.0971200 | + | 0.00272090i | ||||
\(427\) | 4721.38 | − | 468.758i | 0.535090 | − | 0.0531259i | ||||
\(428\) | 8125.79i | 0.917698i | ||||||||
\(429\) | 1719.15 | − | 2793.92i | 0.193477 | − | 0.314433i | ||||
\(430\) | 165.330 | − | 95.4532i | 0.0185417 | − | 0.0107050i | ||||
\(431\) | −13741.2 | + | 7933.48i | −1.53571 | + | 0.886642i | −0.536625 | + | 0.843821i | \(0.680301\pi\) |
−0.999083 | + | 0.0428210i | \(0.986365\pi\) | |||||||
\(432\) | 5080.86 | − | 7306.51i | 0.565864 | − | 0.813737i | ||||
\(433\) | − | 6147.48i | − | 0.682284i | −0.940012 | − | 0.341142i | \(-0.889186\pi\) | ||
0.940012 | − | 0.341142i | \(-0.110814\pi\) | |||||||
\(434\) | 34.7191 | − | 24.9206i | 0.00384002 | − | 0.00275628i | ||||
\(435\) | 120.437 | − | 4298.87i | 0.0132747 | − | 0.473828i | ||||
\(436\) | 583.727 | − | 1011.05i | 0.0641180 | − | 0.111056i | ||||
\(437\) | −10152.9 | − | 17585.3i | −1.11139 | − | 1.92499i | ||||
\(438\) | 377.814 | + | 698.892i | 0.0412161 | + | 0.0762428i | ||||
\(439\) | 5458.01 | + | 3151.19i | 0.593387 | + | 0.342592i | 0.766436 | − | 0.642321i | \(-0.222028\pi\) |
−0.173049 | + | 0.984913i | \(0.555362\pi\) | |||||||
\(440\) | 212.506 | 0.0230246 | ||||||||
\(441\) | 5718.24 | + | 7284.77i | 0.617453 | + | 0.786607i | ||||
\(442\) | −166.724 | −0.0179417 | ||||||||
\(443\) | 12071.4 | + | 6969.45i | 1.29465 | + | 0.747468i | 0.979475 | − | 0.201565i | \(-0.0646026\pi\) |
0.315178 | + | 0.949033i | \(0.397936\pi\) | |||||||
\(444\) | 665.543 | + | 1231.14i | 0.0711380 | + | 0.131593i | ||||
\(445\) | −2742.84 | − | 4750.74i | −0.292187 | − | 0.506083i | ||||
\(446\) | −363.191 | + | 629.066i | −0.0385597 | + | 0.0667873i | ||||
\(447\) | 212.725 | − | 7593.03i | 0.0225091 | − | 0.803441i | ||||
\(448\) | −7567.16 | + | 5431.55i | −0.798024 | + | 0.572804i | ||||
\(449\) | 11463.6i | 1.20490i | 0.798157 | + | 0.602449i | \(0.205808\pi\) | ||||
−0.798157 | + | 0.602449i | \(0.794192\pi\) | |||||||
\(450\) | −86.8237 | − | 56.8365i | −0.00909535 | − | 0.00595399i | ||||
\(451\) | −4109.47 | + | 2372.60i | −0.429063 | + | 0.247720i | ||||
\(452\) | 6296.54 | − | 3635.31i | 0.655231 | − | 0.378298i | ||||
\(453\) | 4126.54 | − | 6706.35i | 0.427995 | − | 0.695567i | ||||
\(454\) | − | 427.445i | − | 0.0441872i | ||||||
\(455\) | 3361.99 | − | 333.792i | 0.346401 | − | 0.0343921i | ||||
\(456\) | 1662.31 | + | 46.5710i | 0.170712 | + | 0.00478264i | ||||
\(457\) | 489.645 | − | 848.089i | 0.0501195 | − | 0.0868095i | −0.839877 | − | 0.542776i | \(-0.817373\pi\) |
0.889997 | + | 0.455967i | \(0.150706\pi\) | |||||||
\(458\) | −225.970 | − | 391.392i | −0.0230543 | − | 0.0399313i | ||||
\(459\) | 1774.63 | + | 3773.73i | 0.180464 | + | 0.383753i | ||||
\(460\) | 5382.49 | + | 3107.58i | 0.545565 | + | 0.314982i | ||||
\(461\) | −9965.28 | −1.00679 | −0.503394 | − | 0.864057i | \(-0.667916\pi\) | ||||
−0.503394 | + | 0.864057i | \(0.667916\pi\) | |||||||
\(462\) | −230.225 | − | 111.964i | −0.0231841 | − | 0.0112750i | ||||
\(463\) | 8423.87 | 0.845552 | 0.422776 | − | 0.906234i | \(-0.361056\pi\) | ||||
0.422776 | + | 0.906234i | \(0.361056\pi\) | |||||||
\(464\) | −9093.29 | − | 5250.01i | −0.909796 | − | 0.525271i | ||||
\(465\) | −343.051 | + | 185.450i | −0.0342121 | + | 0.0184947i | ||||
\(466\) | −464.060 | − | 803.775i | −0.0461312 | − | 0.0799016i | ||||
\(467\) | 3656.16 | − | 6332.66i | 0.362285 | − | 0.627495i | −0.626052 | − | 0.779781i | \(-0.715330\pi\) |
0.988336 | + | 0.152286i | \(0.0486635\pi\) | |||||||
\(468\) | −439.918 | + | 7845.06i | −0.0434513 | + | 0.774868i | ||||
\(469\) | 4635.86 | + | 2096.10i | 0.456427 | + | 0.206373i | ||||
\(470\) | − | 352.850i | − | 0.0346292i | ||||||
\(471\) | 7618.84 | + | 4688.02i | 0.745345 | + | 0.458625i | ||||
\(472\) | −1244.26 | + | 718.373i | −0.121338 | + | 0.0700546i | ||||
\(473\) | −3721.75 | + | 2148.76i | −0.361789 | + | 0.208879i | ||||
\(474\) | 7.91428 | + | 4.86980i | 0.000766909 | + | 0.000471893i | ||||
\(475\) | 3257.49i | 0.314661i | ||||||||
\(476\) | −433.821 | − | 4369.49i | −0.0417734 | − | 0.420747i | ||||
\(477\) | 370.003 | − | 6598.28i | 0.0355163 | − | 0.633364i | ||||
\(478\) | −332.291 | + | 575.544i | −0.0317963 | + | 0.0550728i | ||||
\(479\) | −251.793 | − | 436.117i | −0.0240182 | − | 0.0416007i | 0.853767 | − | 0.520656i | \(-0.174313\pi\) |
−0.877785 | + | 0.479055i | \(0.840979\pi\) | |||||||
\(480\) | −671.966 | + | 363.259i | −0.0638978 | + | 0.0345425i | ||||
\(481\) | −1066.92 | − | 615.987i | −0.101138 | − | 0.0583921i | ||||
\(482\) | 695.088 | 0.0656855 | ||||||||
\(483\) | −8400.39 | − | 12423.6i | −0.791369 | − | 1.17038i | ||||
\(484\) | 8228.21 | 0.772747 | ||||||||
\(485\) | −4840.64 | − | 2794.74i | −0.453200 | − | 0.261655i | ||||
\(486\) | −540.041 | + | 217.929i | −0.0504049 | + | 0.0203405i | ||||
\(487\) | 1580.86 | + | 2738.13i | 0.147096 | + | 0.254778i | 0.930153 | − | 0.367172i | \(-0.119674\pi\) |
−0.783057 | + | 0.621950i | \(0.786341\pi\) | |||||||
\(488\) | 314.614 | − | 544.928i | 0.0291843 | − | 0.0505486i | ||||
\(489\) | 4992.05 | + | 139.857i | 0.461653 | + | 0.0129336i | ||||
\(490\) | −51.8432 | − | 258.512i | −0.00477967 | − | 0.0238334i | ||||
\(491\) | − | 6402.37i | − | 0.588462i | −0.955734 | − | 0.294231i | \(-0.904936\pi\) | ||
0.955734 | − | 0.294231i | \(-0.0950636\pi\) | |||||||
\(492\) | 5956.29 | − | 9680.00i | 0.545793 | − | 0.887009i | ||||
\(493\) | 4261.01 | − | 2460.09i | 0.389262 | − | 0.224741i | ||||
\(494\) | −632.939 | + | 365.427i | −0.0576463 | + | 0.0332821i | ||||
\(495\) | 1954.49 | + | 1279.45i | 0.177471 | + | 0.116176i | ||||
\(496\) | 952.128i | 0.0861932i | ||||||||
\(497\) | −11548.7 | − | 16089.6i | −1.04232 | − | 1.45214i | ||||
\(498\) | 13.0791 | − | 466.844i | 0.00117688 | − | 0.0420076i | ||||
\(499\) | 1960.50 | − | 3395.69i | 0.175880 | − | 0.304633i | −0.764585 | − | 0.644522i | \(-0.777056\pi\) |
0.940465 | + | 0.339889i | \(0.110390\pi\) | |||||||
\(500\) | −498.523 | − | 863.467i | −0.0445892 | − | 0.0772308i | ||||
\(501\) | 102.504 | + | 189.615i | 0.00914080 | + | 0.0169089i | ||||
\(502\) | 494.157 | + | 285.302i | 0.0439349 | + | 0.0253658i | ||||
\(503\) | −5461.33 | −0.484113 | −0.242056 | − | 0.970262i | \(-0.577822\pi\) | ||||
−0.242056 | + | 0.970262i | \(0.577822\pi\) | |||||||
\(504\) | 1227.06 | − | 52.7257i | 0.108448 | − | 0.00465990i | ||||
\(505\) | 8645.75 | 0.761843 | ||||||||
\(506\) | 359.031 | + | 207.286i | 0.0315432 | + | 0.0182115i | ||||
\(507\) | 2139.61 | + | 3957.91i | 0.187423 | + | 0.346700i | ||||
\(508\) | −8925.31 | − | 15459.1i | −0.779521 | − | 1.35017i | ||||
\(509\) | −7459.40 | + | 12920.1i | −0.649572 | + | 1.12509i | 0.333654 | + | 0.942696i | \(0.391718\pi\) |
−0.983225 | + | 0.182395i | \(0.941615\pi\) | |||||||
\(510\) | 3.32486 | − | 118.678i | 0.000288681 | − | 0.0103042i | ||||
\(511\) | 7588.51 | − | 16783.2i | 0.656939 | − | 1.45293i | ||||
\(512\) | 3111.44i | 0.268570i | ||||||||
\(513\) | 15008.4 | + | 10436.7i | 1.29169 | + | 0.898229i | ||||
\(514\) | 433.683 | − | 250.387i | 0.0372159 | − | 0.0214866i | ||||
\(515\) | 4885.42 | − | 2820.60i | 0.418015 | − | 0.241341i | ||||
\(516\) | 5394.33 | − | 8766.72i | 0.460217 | − | 0.747933i | ||||
\(517\) | 7943.03i | 0.675694i | ||||||||
\(518\) | −39.6102 | + | 87.6043i | −0.00335979 | + | 0.00743072i | ||||
\(519\) | 11526.3 | + | 322.918i | 0.974849 | + | 0.0273112i | ||||
\(520\) | 224.030 | − | 388.031i | 0.0188930 | − | 0.0327236i | ||||
\(521\) | 4021.29 | + | 6965.07i | 0.338149 | + | 0.585692i | 0.984085 | − | 0.177700i | \(-0.0568658\pi\) |
−0.645935 | + | 0.763392i | \(0.723532\pi\) | |||||||
\(522\) | 309.692 | + | 613.341i | 0.0259672 | + | 0.0514276i | ||||
\(523\) | 2018.19 | + | 1165.20i | 0.168737 | + | 0.0974203i | 0.581990 | − | 0.813196i | \(-0.302274\pi\) |
−0.413253 | + | 0.910616i | \(0.635608\pi\) | |||||||
\(524\) | 11178.0 | 0.931896 | ||||||||
\(525\) | 170.555 | + | 2399.80i | 0.0141783 | + | 0.199497i | ||||
\(526\) | −566.306 | −0.0469432 | ||||||||
\(527\) | −386.383 | − | 223.078i | −0.0319376 | − | 0.0184392i | ||||
\(528\) | 5017.33 | − | 2712.32i | 0.413544 | − | 0.223558i | ||||
\(529\) | 6059.46 | + | 10495.3i | 0.498024 | + | 0.862603i | ||||
\(530\) | −94.0735 | + | 162.940i | −0.00770998 | + | 0.0133541i | ||||
\(531\) | −15769.0 | − | 884.260i | −1.28873 | − | 0.0722667i | ||||
\(532\) | −11224.1 | − | 15637.2i | −0.914708 | − | 1.27436i | ||||
\(533\) | 10005.1i | 0.813072i | ||||||||
\(534\) | 746.448 | + | 459.303i | 0.0604906 | + | 0.0372210i | ||||
\(535\) | 4411.25 | − | 2546.83i | 0.356476 | − | 0.205812i | ||||
\(536\) | 584.336 | − | 337.367i | 0.0470886 | − | 0.0271866i | ||||
\(537\) | 2322.24 | + | 1428.92i | 0.186615 | + | 0.114827i | ||||
\(538\) | 708.789i | 0.0567994i | ||||||||
\(539\) | 1167.05 | + | 5819.38i | 0.0932621 | + | 0.465044i | ||||
\(540\) | −5575.52 | − | 469.592i | −0.444319 | − | 0.0374223i | ||||
\(541\) | 9042.88 | − | 15662.7i | 0.718639 | − | 1.24472i | −0.242900 | − | 0.970051i | \(-0.578099\pi\) |
0.961539 | − | 0.274668i | \(-0.0885680\pi\) | |||||||
\(542\) | −376.885 | − | 652.783i | −0.0298682 | − | 0.0517333i | ||||
\(543\) | −13957.9 | + | 7545.52i | −1.10312 | + | 0.596333i | ||||
\(544\) | −756.844 | − | 436.964i | −0.0596497 | − | 0.0344388i | ||||
\(545\) | −731.821 | −0.0575189 | ||||||||
\(546\) | −447.154 | + | 302.350i | −0.0350484 | + | 0.0236985i | ||||
\(547\) | 6873.98 | 0.537313 | 0.268657 | − | 0.963236i | \(-0.413420\pi\) | ||||
0.268657 | + | 0.963236i | \(0.413420\pi\) | |||||||
\(548\) | 6185.51 | + | 3571.21i | 0.482175 | + | 0.278384i | ||||
\(549\) | 6174.51 | − | 3117.68i | 0.480003 | − | 0.242366i | ||||
\(550\) | −33.2532 | − | 57.5962i | −0.00257804 | − | 0.00446530i | ||||
\(551\) | 10784.1 | − | 18678.7i | 0.833793 | − | 1.44417i | ||||
\(552\) | −1988.13 | − | 55.6992i | −0.153298 | − | 0.00429478i | ||||
\(553\) | −21.2848 | − | 214.383i | −0.00163675 | − | 0.0164855i | ||||
\(554\) | − | 533.724i | − | 0.0409310i | ||||||
\(555\) | 459.751 | − | 747.175i | 0.0351628 | − | 0.0571456i | ||||
\(556\) | −2976.40 | + | 1718.43i | −0.227028 | + | 0.131075i | ||||
\(557\) | −10589.9 | + | 6114.09i | −0.805582 | + | 0.465103i | −0.845419 | − | 0.534103i | \(-0.820649\pi\) |
0.0398376 | + | 0.999206i | \(0.487316\pi\) | |||||||
\(558\) | 34.1244 | − | 52.1286i | 0.00258889 | − | 0.00395480i | ||||
\(559\) | 9061.11i | 0.685589i | ||||||||
\(560\) | 5352.32 | + | 2420.04i | 0.403887 | + | 0.182617i | ||||
\(561\) | −74.8461 | + | 2671.56i | −0.00563281 | + | 0.201058i | ||||
\(562\) | 443.092 | − | 767.458i | 0.0332575 | − | 0.0576037i | ||||
\(563\) | 1734.41 | + | 3004.09i | 0.129835 | + | 0.224880i | 0.923612 | − | 0.383328i | \(-0.125222\pi\) |
−0.793778 | + | 0.608208i | \(0.791889\pi\) | |||||||
\(564\) | −9047.43 | − | 16736.2i | −0.675471 | − | 1.24951i | ||||
\(565\) | −3947.00 | − | 2278.80i | −0.293896 | − | 0.169681i | ||||
\(566\) | −270.190 | −0.0200652 | ||||||||
\(567\) | 11603.2 | + | 6902.93i | 0.859414 | + | 0.511280i | ||||
\(568\) | −2626.57 | −0.194029 | ||||||||
\(569\) | −9690.69 | − | 5594.92i | −0.713980 | − | 0.412217i | 0.0985529 | − | 0.995132i | \(-0.468579\pi\) |
−0.812533 | + | 0.582915i | \(0.801912\pi\) | |||||||
\(570\) | −247.497 | − | 457.828i | −0.0181869 | − | 0.0336426i | ||||
\(571\) | 9458.91 | + | 16383.3i | 0.693245 | + | 1.20074i | 0.970769 | + | 0.240017i | \(0.0771530\pi\) |
−0.277523 | + | 0.960719i | \(0.589514\pi\) | |||||||
\(572\) | −2517.85 | + | 4361.04i | −0.184050 | + | 0.318784i | ||||
\(573\) | −540.108 | + | 19278.7i | −0.0393776 | + | 1.40555i | ||||
\(574\) | 776.973 | − | 77.1410i | 0.0564987 | − | 0.00560941i | ||||
\(575\) | − | 3895.98i | − | 0.282563i | ||||||
\(576\) | −7437.56 | + | 11361.6i | −0.538018 | + | 0.821878i | ||||
\(577\) | −16834.9 | + | 9719.64i | −1.21464 | + | 0.701272i | −0.963766 | − | 0.266749i | \(-0.914051\pi\) |
−0.250872 | + | 0.968020i | \(0.580717\pi\) | |||||||
\(578\) | −536.485 | + | 309.740i | −0.0386070 | + | 0.0222898i | ||||
\(579\) | −9171.94 | + | 14906.0i | −0.658329 | + | 1.06990i | ||||
\(580\) | 6601.58i | 0.472613i | ||||||||
\(581\) | −8796.16 | + | 6313.70i | −0.628100 | + | 0.450837i | ||||
\(582\) | 892.672 | + | 25.0090i | 0.0635781 | + | 0.00178120i | ||||
\(583\) | 2117.70 | − | 3667.96i | 0.150439 | − | 0.260568i | ||||
\(584\) | −1221.37 | − | 2115.48i | −0.0865422 | − | 0.149896i | ||||
\(585\) | 4396.73 | − | 2220.03i | 0.310739 | − | 0.156901i | ||||
\(586\) | −410.107 | − | 236.776i | −0.0289102 | − | 0.0166913i | ||||
\(587\) | 22159.7 | 1.55814 | 0.779070 | − | 0.626937i | \(-0.215692\pi\) | ||||
0.779070 | + | 0.626937i | \(0.215692\pi\) | |||||||
\(588\) | −9087.51 | − | 10932.3i | −0.637351 | − | 0.766735i | ||||
\(589\) | −1955.79 | −0.136820 | ||||||||
\(590\) | 389.406 | + | 224.824i | 0.0271722 | + | 0.0156879i | ||||
\(591\) | −20750.0 | + | 11217.3i | −1.44423 | + | 0.780739i | ||||
\(592\) | −1070.98 | − | 1854.98i | −0.0743528 | − | 0.128783i | ||||
\(593\) | 9285.64 | − | 16083.2i | 0.643028 | − | 1.11376i | −0.341726 | − | 0.939800i | \(-0.611011\pi\) |
0.984753 | − | 0.173957i | \(-0.0556553\pi\) | |||||||
\(594\) | −371.907 | − | 31.3235i | −0.0256894 | − | 0.00216367i | ||||
\(595\) | −2236.09 | + | 1605.02i | −0.154069 | + | 0.110587i | ||||
\(596\) | 11660.3i | 0.801381i | ||||||||
\(597\) | −3160.31 | − | 1944.60i | −0.216654 | − | 0.133312i | ||||
\(598\) | 757.000 | − | 437.054i | 0.0517659 | − | 0.0298871i | ||||
\(599\) | 16435.0 | − | 9488.76i | 1.12106 | − | 0.647246i | 0.179391 | − | 0.983778i | \(-0.442587\pi\) |
0.941672 | + | 0.336532i | \(0.109254\pi\) | |||||||
\(600\) | 271.742 | + | 167.208i | 0.0184897 | + | 0.0113771i | ||||
\(601\) | − | 6978.97i | − | 0.473674i | −0.971549 | − | 0.236837i | \(-0.923889\pi\) | ||
0.971549 | − | 0.236837i | \(-0.0761107\pi\) | |||||||
\(602\) | 703.668 | − | 69.8630i | 0.0476401 | − | 0.00472990i | ||||
\(603\) | 7405.56 | + | 415.272i | 0.500129 | + | 0.0280451i | ||||
\(604\) | −6043.68 | + | 10468.0i | −0.407142 | + | 0.705190i | ||||
\(605\) | −2578.93 | − | 4466.85i | −0.173303 | − | 0.300170i | ||||
\(606\) | −1215.13 | + | 656.886i | −0.0814541 | + | 0.0440333i | ||||
\(607\) | −8863.71 | − | 5117.47i | −0.592697 | − | 0.342194i | 0.173466 | − | 0.984840i | \(-0.444503\pi\) |
−0.766163 | + | 0.642646i | \(0.777837\pi\) | |||||||
\(608\) | −3830.98 | −0.255538 | ||||||||
\(609\) | 6966.73 | − | 14325.3i | 0.463557 | − | 0.953184i | ||||
\(610\) | −196.925 | −0.0130709 | ||||||||
\(611\) | 14503.8 | + | 8373.76i | 0.960328 | + | 0.554445i | ||||
\(612\) | −2885.31 | − | 5714.32i | −0.190575 | − | 0.377431i | ||||
\(613\) | −5480.10 | − | 9491.81i | −0.361075 | − | 0.625401i | 0.627063 | − | 0.778969i | \(-0.284257\pi\) |
−0.988138 | + | 0.153568i | \(0.950924\pi\) | |||||||
\(614\) | −683.033 | + | 1183.05i | −0.0448941 | + | 0.0777588i | ||||
\(615\) | −7121.84 | − | 199.524i | −0.466960 | − | 0.0130823i | ||||
\(616\) | 717.227 | + | 324.293i | 0.0469121 | + | 0.0212112i | ||||
\(617\) | 7305.62i | 0.476682i | 0.971181 | + | 0.238341i | \(0.0766037\pi\) | ||||
−0.971181 | + | 0.238341i | \(0.923396\pi\) | |||||||
\(618\) | −472.325 | + | 767.609i | −0.0307438 | + | 0.0499640i | ||||
\(619\) | −26035.4 | + | 15031.5i | −1.69055 | + | 0.976040i | −0.736481 | + | 0.676459i | \(0.763514\pi\) |
−0.954071 | + | 0.299582i | \(0.903153\pi\) | |||||||
\(620\) | 518.422 | − | 299.311i | 0.0335812 | − | 0.0193881i | ||||
\(621\) | −17950.2 | − | 12482.4i | −1.15993 | − | 0.806603i | ||||
\(622\) | 283.146i | 0.0182526i | ||||||||
\(623\) | −2007.51 | − | 20219.9i | −0.129100 | − | 1.30031i | ||||
\(624\) | 336.777 | − | 12020.9i | 0.0216056 | − | 0.771190i | ||||
\(625\) | −312.500 | + | 541.266i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −33.2762 | − | 57.6361i | −0.00212458 | − | 0.00367988i | ||||
\(627\) | 5571.43 | + | 10306.2i | 0.354867 | + | 0.656443i | ||||
\(628\) | −11892.3 | − | 6866.00i | −0.755658 | − | 0.436279i | ||||
\(629\) | 1003.69 | 0.0636246 | ||||||||
\(630\) | −206.303 | − | 324.324i | −0.0130465 | − | 0.0205101i | ||||
\(631\) | 25464.3 | 1.60653 | 0.803263 | − | 0.595624i | \(-0.203095\pi\) | ||||
0.803263 | + | 0.595624i | \(0.203095\pi\) | |||||||
\(632\) | −24.7434 | − | 14.2856i | −0.00155734 | − | 0.000899132i | ||||
\(633\) | −7955.22 | − | 14715.8i | −0.499513 | − | 0.924014i | ||||
\(634\) | −320.212 | − | 554.624i | −0.0200588 | − | 0.0347428i | ||||
\(635\) | −5594.85 | + | 9690.56i | −0.349645 | + | 0.605603i | ||||
\(636\) | −284.099 | + | 10140.6i | −0.0177126 | + | 0.632236i | ||||
\(637\) | 11856.4 | + | 4003.95i | 0.737468 | + | 0.249046i | ||||
\(638\) | 440.348i | 0.0273253i | ||||||||
\(639\) | −24157.5 | − | 15814.0i | −1.49555 | − | 0.979017i | ||||
\(640\) | 1353.30 | − | 781.330i | 0.0835844 | − | 0.0482575i | ||||
\(641\) | 11576.8 | − | 6683.87i | 0.713348 | − | 0.411852i | −0.0989513 | − | 0.995092i | \(-0.531549\pi\) |
0.812300 | + | 0.583240i | \(0.198215\pi\) | |||||||
\(642\) | −426.481 | + | 693.105i | −0.0262178 | + | 0.0426085i | ||||
\(643\) | 27659.7i | 1.69641i | 0.529666 | + | 0.848207i | \(0.322317\pi\) | ||||
−0.529666 | + | 0.848207i | \(0.677683\pi\) | |||||||
\(644\) | 13424.1 | + | 18702.2i | 0.821401 | + | 1.14437i | ||||
\(645\) | −6449.91 | − | 180.700i | −0.393744 | − | 0.0110311i | ||||
\(646\) | 297.715 | − | 515.657i | 0.0181323 | − | 0.0314060i | ||||
\(647\) | 11868.7 | + | 20557.2i | 0.721186 | + | 1.24913i | 0.960525 | + | 0.278194i | \(0.0897360\pi\) |
−0.239339 | + | 0.970936i | \(0.576931\pi\) | |||||||
\(648\) | 1641.02 | − | 716.295i | 0.0994838 | − | 0.0434239i | ||||
\(649\) | −8765.94 | − | 5061.02i | −0.530190 | − | 0.306105i | ||||
\(650\) | −140.226 | −0.00846171 | ||||||||
\(651\) | −1440.83 | + | 102.401i | −0.0867444 | + | 0.00616496i | ||||
\(652\) | −7666.06 | −0.460469 | ||||||||
\(653\) | 7869.60 | + | 4543.51i | 0.471610 | + | 0.272284i | 0.716913 | − | 0.697162i | \(-0.245554\pi\) |
−0.245304 | + | 0.969446i | \(0.578888\pi\) | |||||||
\(654\) | 102.855 | − | 55.6023i | 0.00614975 | − | 0.00332450i | ||||
\(655\) | −3503.48 | − | 6068.20i | −0.208996 | − | 0.361991i | ||||
\(656\) | −8697.57 | + | 15064.6i | −0.517657 | + | 0.896608i | ||||
\(657\) | 1503.41 | − | 26810.4i | 0.0892750 | − | 1.59204i | ||||
\(658\) | 538.463 | − | 1190.90i | 0.0319019 | − | 0.0705563i | ||||
\(659\) | − | 25926.8i | − | 1.53257i | −0.642499 | − | 0.766287i | \(-0.722102\pi\) | ||
0.642499 | − | 0.766287i | \(-0.277898\pi\) | |||||||
\(660\) | −3054.08 | − | 1879.23i | −0.180121 | − | 0.110832i | ||||
\(661\) | 5148.52 | − | 2972.50i | 0.302957 | − | 0.174912i | −0.340814 | − | 0.940131i | \(-0.610703\pi\) |
0.643770 | + | 0.765219i | \(0.277369\pi\) | |||||||
\(662\) | −24.0866 | + | 13.9064i | −0.00141413 | + | 0.000816448i | ||||
\(663\) | 4799.31 | + | 2953.10i | 0.281131 | + | 0.172985i | ||||
\(664\) | 1435.95i | 0.0839241i | ||||||||
\(665\) | −4971.06 | + | 10994.3i | −0.289879 | + | 0.641114i | ||||
\(666\) | −7.84744 | + | 139.944i | −0.000456580 | + | 0.00814219i | ||||
\(667\) | −12897.9 | + | 22339.9i | −0.748741 | + | 1.29686i | ||||
\(668\) | −165.439 | − | 286.548i | −0.00958235 | − | 0.0165971i | ||||
\(669\) | 21597.2 | − | 11675.2i | 1.24813 | − | 0.674725i | ||||
\(670\) | −182.875 | − | 105.583i | −0.0105449 | − | 0.00608810i | ||||
\(671\) | 4432.99 | 0.255043 | ||||||||
\(672\) | −2822.29 | + | 200.582i | −0.162012 | + | 0.0115143i | ||||
\(673\) | 10966.0 | 0.628095 | 0.314047 | − | 0.949407i | \(-0.398315\pi\) | ||||
0.314047 | + | 0.949407i | \(0.398315\pi\) | |||||||
\(674\) | −169.205 | − | 97.6905i | −0.00966992 | − | 0.00558293i | ||||
\(675\) | 1492.59 | + | 3173.97i | 0.0851107 | + | 0.180987i | ||||
\(676\) | −3453.27 | − | 5981.23i | −0.196476 | − | 0.340307i | ||||
\(677\) | −796.434 | + | 1379.46i | −0.0452134 | + | 0.0783118i | −0.887746 | − | 0.460333i | \(-0.847730\pi\) |
0.842533 | + | 0.538645i | \(0.181063\pi\) | |||||||
\(678\) | 727.874 | + | 20.3920i | 0.0412299 | + | 0.00115509i | ||||
\(679\) | −12072.7 | − | 16819.5i | −0.682337 | − | 0.950623i | ||||
\(680\) | 365.036i | 0.0205860i | ||||||||
\(681\) | −7571.15 | + | 12304.4i | −0.426031 | + | 0.692374i | ||||
\(682\) | 34.5806 | − | 19.9651i | 0.00194158 | − | 0.00112097i | ||||
\(683\) | −22933.5 | + | 13240.7i | −1.28481 | + | 0.741788i | −0.977724 | − | 0.209893i | \(-0.932688\pi\) |
−0.307089 | + | 0.951681i | \(0.599355\pi\) | |||||||
\(684\) | −23478.4 | − | 15369.4i | −1.31245 | − | 0.859157i | ||||
\(685\) | − | 4477.24i | − | 0.249732i | ||||||
\(686\) | 219.524 | − | 951.615i | 0.0122179 | − | 0.0529633i | ||||
\(687\) | −427.777 | + | 15269.1i | −0.0237565 | + | 0.847967i | ||||
\(688\) | −7876.97 | + | 13643.3i | −0.436492 | + | 0.756027i | ||||
\(689\) | −4465.07 | − | 7733.72i | −0.246888 | − | 0.427622i | ||||
\(690\) | 296.009 | + | 547.566i | 0.0163317 | + | 0.0302108i | ||||
\(691\) | 1461.64 | + | 843.876i | 0.0804678 | + | 0.0464581i | 0.539694 | − | 0.841861i | \(-0.318540\pi\) |
−0.459226 | + | 0.888319i | \(0.651873\pi\) | |||||||
\(692\) | −17700.3 | −0.972350 | ||||||||
\(693\) | 4644.10 | + | 7300.89i | 0.254567 | + | 0.400199i | ||||
\(694\) | −1284.82 | −0.0702755 | ||||||||
\(695\) | 1865.76 | + | 1077.20i | 0.101831 | + | 0.0587921i | ||||
\(696\) | −1004.64 | − | 1858.40i | −0.0547135 | − | 0.101211i | ||||
\(697\) | −4075.58 | − | 7059.11i | −0.221483 | − | 0.383620i | ||||
\(698\) | −615.667 | + | 1066.37i | −0.0333859 | + | 0.0578260i | ||||
\(699\) | −878.498 | + | 31357.2i | −0.0475362 | + | 1.69676i | ||||
\(700\) | −364.873 | − | 3675.04i | −0.0197013 | − | 0.198434i | ||||
\(701\) | − | 4560.98i | − | 0.245743i | −0.992423 | − | 0.122871i | \(-0.960790\pi\) | ||
0.992423 | − | 0.122871i | \(-0.0392103\pi\) | |||||||
\(702\) | −449.271 | + | 646.071i | −0.0241547 | + | 0.0347356i | ||||
\(703\) | 3810.36 | − | 2199.91i | 0.204424 | − | 0.118025i | ||||
\(704\) | −7536.98 | + | 4351.48i | −0.403495 | + | 0.232958i | ||||
\(705\) | −6249.88 | + | 10157.1i | −0.333878 | + | 0.542610i | ||||
\(706\) | 494.079i | 0.0263384i | ||||||||
\(707\) | 29180.1 | + | 13193.8i | 1.55224 | + | 0.701842i | ||||
\(708\) | 24234.8 | + | 678.959i | 1.28644 | + | 0.0360407i | ||||
\(709\) | −2799.16 | + | 4848.29i | −0.148272 | + | 0.256815i | −0.930589 | − | 0.366066i | \(-0.880704\pi\) |
0.782317 | + | 0.622881i | \(0.214038\pi\) | |||||||
\(710\) | 411.009 | + | 711.889i | 0.0217252 | + | 0.0376292i | ||||
\(711\) | −141.564 | − | 280.364i | −0.00746702 | − | 0.0147883i | ||||
\(712\) | −2333.72 | − | 1347.37i | −0.122837 | − | 0.0709198i | ||||
\(713\) | 2339.14 | 0.122863 | ||||||||
\(714\) | 192.329 | − | 395.473i | 0.0100808 | − | 0.0207286i | ||||
\(715\) | 3156.64 | 0.165107 | ||||||||
\(716\) | −3624.79 | − | 2092.77i | −0.189196 | − | 0.109233i | ||||
\(717\) | 19759.7 | − | 10681.9i | 1.02920 | − | 0.556378i | ||||
\(718\) | 575.292 | + | 996.435i | 0.0299021 | + | 0.0517920i | ||||
\(719\) | −2130.26 | + | 3689.72i | −0.110494 | + | 0.191382i | −0.915970 | − | 0.401248i | \(-0.868577\pi\) |
0.805475 | + | 0.592629i | \(0.201910\pi\) | |||||||
\(720\) | 8550.07 | + | 479.451i | 0.442559 | + | 0.0248168i | ||||
\(721\) | 20793.1 | − | 2064.42i | 1.07403 | − | 0.106634i | ||||
\(722\) | − | 1555.66i | − | 0.0801881i | ||||||
\(723\) | −20008.8 | − | 12311.8i | −1.02923 | − | 0.633307i | ||||
\(724\) | 21093.4 | − | 12178.3i | 1.08277 | − | 0.625140i | ||||
\(725\) | 3583.80 | − | 2069.11i | 0.183585 | − | 0.105993i | ||||
\(726\) | 701.841 | + | 431.856i | 0.0358785 | + | 0.0220767i | ||||
\(727\) | 32435.0i | 1.65467i | 0.561707 | + | 0.827336i | \(0.310145\pi\) | ||||
−0.561707 | + | 0.827336i | \(0.689855\pi\) | |||||||
\(728\) | 1348.27 | − | 967.760i | 0.0686405 | − | 0.0492686i | ||||
\(729\) | 19405.7 | + | 3292.20i | 0.985913 | + | 0.167261i | ||||
\(730\) | −382.243 | + | 662.064i | −0.0193801 | + | 0.0335672i | ||||
\(731\) | −3691.06 | − | 6393.10i | −0.186756 | − | 0.323471i | ||||
\(732\) | −9340.45 | + | 5049.35i | −0.471629 | + | 0.254958i | ||||
\(733\) | 1426.04 | + | 823.323i | 0.0718579 | + | 0.0414872i | 0.535498 | − | 0.844536i | \(-0.320124\pi\) |
−0.463641 | + | 0.886023i | \(0.653457\pi\) | |||||||
\(734\) | 193.800 | 0.00974563 | ||||||||
\(735\) | −3086.55 | + | 8359.80i | −0.154897 | + | 0.419532i | ||||
\(736\) | 4581.89 | 0.229471 | ||||||||
\(737\) | 4116.72 | + | 2376.79i | 0.205755 | + | 0.118793i | ||||
\(738\) | 1016.11 | − | 513.060i | 0.0506821 | − | 0.0255908i | ||||
\(739\) | −3446.71 | − | 5969.88i | −0.171569 | − | 0.297166i | 0.767400 | − | 0.641169i | \(-0.221550\pi\) |
−0.938969 | + | 0.344003i | \(0.888217\pi\) | |||||||
\(740\) | −673.344 | + | 1166.27i | −0.0334495 | + | 0.0579362i | ||||
\(741\) | 24692.4 | + | 691.780i | 1.22416 | + | 0.0342958i | ||||
\(742\) | −566.159 | + | 406.377i | −0.0280113 | + | 0.0201059i | ||||
\(743\) | − | 15079.0i | − | 0.744545i | −0.928124 | − | 0.372272i | \(-0.878579\pi\) | ||
0.928124 | − | 0.372272i | \(-0.121421\pi\) | |||||||
\(744\) | −100.391 | + | 163.153i | −0.00494693 | + | 0.00803962i | ||||
\(745\) | 6330.01 | − | 3654.63i | 0.311293 | − | 0.179725i | ||||
\(746\) | 1150.32 | − | 664.139i | 0.0564562 | − | 0.0325950i | ||||
\(747\) | −8645.51 | + | 13206.9i | −0.423457 | + | 0.646876i | ||||
\(748\) | − | 4102.60i | − | 0.200543i | ||||||
\(749\) | 18774.9 | − | 1864.05i | 0.915915 | − | 0.0909357i | ||||
\(750\) | 2.79643 | − | 99.8160i | 0.000136148 | − | 0.00485969i | ||||
\(751\) | 7920.87 | − | 13719.4i | 0.384869 | − | 0.666613i | −0.606882 | − | 0.794792i | \(-0.707580\pi\) |
0.991751 | + | 0.128179i | \(0.0409132\pi\) | |||||||
\(752\) | 14558.9 | + | 25216.8i | 0.705995 | + | 1.22282i | ||||
\(753\) | −9171.38 | − | 16965.5i | −0.443856 | − | 0.821058i | ||||
\(754\) | 804.066 | + | 464.228i | 0.0388360 | + | 0.0224220i | ||||
\(755\) | 7576.98 | 0.365238 | ||||||||
\(756\) | −18101.3 | − | 10093.4i | −0.870815 | − | 0.485573i | ||||
\(757\) | 21422.4 | 1.02855 | 0.514273 | − | 0.857627i | \(-0.328062\pi\) | ||||
0.514273 | + | 0.857627i | \(0.328062\pi\) | |||||||
\(758\) | 1893.72 | + | 1093.34i | 0.0907426 | + | 0.0523903i | ||||
\(759\) | −6663.48 | − | 12326.3i | −0.318668 | − | 0.589482i | ||||
\(760\) | 800.091 | + | 1385.80i | 0.0381873 | + | 0.0661424i | ||||
\(761\) | 1309.82 | − | 2268.67i | 0.0623927 | − | 0.108067i | −0.833142 | − | 0.553060i | \(-0.813460\pi\) |
0.895534 | + | 0.444992i | \(0.146794\pi\) | |||||||
\(762\) | 50.0659 | − | 1787.06i | 0.00238018 | − | 0.0849583i | ||||
\(763\) | −2469.96 | − | 1116.79i | −0.117193 | − | 0.0529888i | ||||
\(764\) | − | 29605.4i | − | 1.40194i | ||||||
\(765\) | −2197.80 | + | 3357.36i | −0.103871 | + | 0.158674i | ||||
\(766\) | −1386.82 | + | 800.680i | −0.0654149 | + | 0.0377673i | ||||
\(767\) | −18482.6 | + | 10670.9i | −0.870102 | + | 0.502354i | ||||
\(768\) | 10825.7 | − | 17593.6i | 0.508643 | − | 0.826633i | ||||
\(769\) | − | 35239.7i | − | 1.65250i | −0.563301 | − | 0.826252i | \(-0.690469\pi\) | ||
0.563301 | − | 0.826252i | \(-0.309531\pi\) | |||||||
\(770\) | −24.3383 | − | 245.138i | −0.00113908 | − | 0.0114729i | ||||
\(771\) | −16919.0 | − | 474.001i | −0.790303 | − | 0.0221410i | ||||
\(772\) | 13433.1 | − | 23266.8i | 0.626253 | − | 1.08470i | ||||
\(773\) | 10841.0 | + | 18777.1i | 0.504427 | + | 0.873693i | 0.999987 | + | 0.00511943i | \(0.00162957\pi\) |
−0.495560 | + | 0.868574i | \(0.665037\pi\) | |||||||
\(774\) | 920.240 | − | 464.654i | 0.0427356 | − | 0.0215784i | ||||
\(775\) | −324.974 | − | 187.624i | −0.0150625 | − | 0.00869632i | ||||
\(776\) | −2745.73 | −0.127018 | ||||||||
\(777\) | 2691.92 | − | 1820.18i | 0.124288 | − | 0.0840394i | ||||
\(778\) | −1916.78 | −0.0883288 | ||||||||
\(779\) | −30944.5 | − | 17865.8i | −1.42324 | − | 0.821708i | ||||
\(780\) | −6651.12 | + | 3595.53i | −0.305319 | + | 0.165052i | ||||
\(781\) | −9252.26 | − | 16025.4i | −0.423908 | − | 0.734229i | ||||
\(782\) | −356.070 | + | 616.730i | −0.0162826 | + | 0.0282023i | ||||
\(783\) | 1949.03 | − | 23141.1i | 0.0889562 | − | 1.05619i | ||||
\(784\) | 14371.5 | + | 16335.7i | 0.654677 | + | 0.744156i | ||||
\(785\) | 8607.93i | 0.391376i | ||||||||
\(786\) | 953.450 | + | 586.676i | 0.0432677 | + | 0.0266234i | ||||
\(787\) | −9043.80 | + | 5221.44i | −0.409627 | + | 0.236498i | −0.690629 | − | 0.723209i | \(-0.742666\pi\) |
0.281002 | + | 0.959707i | \(0.409333\pi\) | |||||||
\(788\) | 31357.7 | − | 18104.4i | 1.41760 | − | 0.818454i | ||||
\(789\) | 16301.7 | + | 10030.7i | 0.735558 | + | 0.452603i | ||||
\(790\) | 8.94172i | 0.000402699i | ||||||||
\(791\) | −9843.92 | − | 13714.4i | −0.442490 | − | 0.616471i | ||||
\(792\) | 1145.73 | + | 64.2478i | 0.0514039 | + | 0.00288251i | ||||
\(793\) | 4673.38 | − | 8094.54i | 0.209277 | − | 0.362478i | ||||
\(794\) | 733.319 | + | 1270.15i | 0.0327765 | + | 0.0567705i | ||||
\(795\) | 5594.09 | − | 3024.11i | 0.249562 | − | 0.134911i | ||||
\(796\) | 4932.93 | + | 2848.03i | 0.219652 | + | 0.126816i | ||||
\(797\) | −29378.6 | −1.30570 | −0.652850 | − | 0.757487i | \(-0.726427\pi\) | ||||
−0.652850 | + | 0.757487i | \(0.726427\pi\) | |||||||
\(798\) | −136.661 | − | 1922.90i | −0.00606235 | − | 0.0853006i | ||||
\(799\) | −13644.3 | −0.604129 | ||||||||
\(800\) | −636.557 | − | 367.517i | −0.0281321 | − | 0.0162421i | ||||
\(801\) | −13351.8 | − | 26443.0i | −0.588967 | − | 1.16644i | ||||
\(802\) | −68.7650 | − | 119.104i | −0.00302765 | − | 0.00524405i | ||||
\(803\) | 8604.70 | − | 14903.8i | 0.378149 | − | 0.654972i | ||||
\(804\) | −11381.3 | − | 318.857i | −0.499238 | − | 0.0139866i | ||||
\(805\) | 5945.43 | − | 13149.3i | 0.260309 | − | 0.575716i | ||||
\(806\) | − | 84.1911i | − | 0.00367929i | ||||||
\(807\) | 12554.5 | − | 20403.2i | 0.547632 | − | 0.889996i | ||||
\(808\) | 3678.07 | − | 2123.53i | 0.160141 | − | 0.0924575i | ||||
\(809\) | 11033.8 | − | 6370.39i | 0.479517 | − | 0.276849i | −0.240698 | − | 0.970600i | \(-0.577376\pi\) |
0.720215 | + | 0.693751i | \(0.244043\pi\) | |||||||
\(810\) | −450.929 | − | 332.685i | −0.0195605 | − | 0.0144313i | ||||
\(811\) | 9282.79i | 0.401927i | 0.979599 | + | 0.200964i | \(0.0644073\pi\) | ||||
−0.979599 | + | 0.200964i | \(0.935593\pi\) | |||||||
\(812\) | −10074.3 | + | 22280.9i | −0.435391 | + | 0.962939i | ||||
\(813\) | −713.469 | + | 25466.6i | −0.0307779 | + | 1.09859i | ||||
\(814\) | −44.9144 | + | 77.7940i | −0.00193397 | + | 0.00334973i | ||||
\(815\) | 2402.74 | + | 4161.67i | 0.103269 | + | 0.178868i | ||||
\(816\) | 4659.13 | + | 8618.60i | 0.199880 | + | 0.369745i | ||||
\(817\) | −28025.0 | − | 16180.2i | −1.20009 | − | 0.692870i | ||||
\(818\) | 381.391 | 0.0163020 | ||||||||
\(819\) | 18227.2 | − | 783.205i | 0.777667 | − | 0.0334156i | ||||
\(820\) | 10936.7 | 0.465763 | ||||||||
\(821\) | 8268.85 | + | 4774.02i | 0.351504 | + | 0.202941i | 0.665348 | − | 0.746534i | \(-0.268283\pi\) |
−0.313843 | + | 0.949475i | \(0.601617\pi\) | |||||||
\(822\) | 340.171 | + | 629.259i | 0.0144341 | + | 0.0267006i | ||||
\(823\) | 16940.8 | + | 29342.4i | 0.717521 | + | 1.24278i | 0.961979 | + | 0.273123i | \(0.0880565\pi\) |
−0.244458 | + | 0.969660i | \(0.578610\pi\) | |||||||
\(824\) | 1385.57 | − | 2399.88i | 0.0585784 | − | 0.101461i | ||||
\(825\) | −62.9507 | + | 2246.97i | −0.00265656 | + | 0.0948234i | ||||
\(826\) | 971.188 | + | 1353.05i | 0.0409104 | + | 0.0569958i | ||||
\(827\) | − | 5465.50i | − | 0.229811i | −0.993376 | − | 0.114906i | \(-0.963343\pi\) | ||
0.993376 | − | 0.114906i | \(-0.0366566\pi\) | |||||||
\(828\) | 28080.3 | + | 18381.9i | 1.17857 | + | 0.771517i | ||||
\(829\) | −98.9858 | + | 57.1495i | −0.00414707 | + | 0.00239431i | −0.502072 | − | 0.864826i | \(-0.667429\pi\) |
0.497925 | + | 0.867220i | \(0.334095\pi\) | |||||||
\(830\) | 389.190 | − | 224.699i | 0.0162759 | − | 0.00939688i | ||||
\(831\) | −9453.63 | + | 15363.8i | −0.394636 | + | 0.641353i | ||||
\(832\) | 18349.8i | 0.764621i | ||||||||
\(833\) | −9996.34 | + | 2004.71i | −0.415789 | + | 0.0833844i | ||||
\(834\) | −344.070 | − | 9.63941i | −0.0142856 | − | 0.000400222i | ||||
\(835\) | −103.705 | + | 179.623i | −0.00429806 | + | 0.00744445i | ||||
\(836\) | −8992.14 | − | 15574.8i | −0.372009 | − | 0.644339i | ||||
\(837\) | −1905.64 | + | 896.144i | −0.0786959 | + | 0.0370075i | ||||
\(838\) | −270.492 | − | 156.169i | −0.0111503 | − | 0.00643765i | ||||
\(839\) | 3786.86 | 0.155825 | 0.0779123 | − | 0.996960i | \(-0.475175\pi\) | ||||
0.0779123 | + | 0.996960i | \(0.475175\pi\) | |||||||
\(840\) | 661.986 | + | 979.030i | 0.0271913 | + | 0.0402140i | ||||
\(841\) | −3010.69 | −0.123445 | ||||||||
\(842\) | 1197.86 | + | 691.586i | 0.0490274 | + | 0.0283060i | ||||
\(843\) | −26348.5 | + | 14243.8i | −1.07650 | + | 0.581946i | ||||
\(844\) | 12839.5 | + | 22238.7i | 0.523642 | + | 0.906975i | ||||
\(845\) | −2164.69 | + | 3749.35i | −0.0881272 | + | 0.152641i | ||||
\(846\) | 106.678 | − | 1902.40i | 0.00433532 | − | 0.0773119i | ||||
\(847\) | −1887.54 | − | 19011.5i | −0.0765723 | − | 0.771245i | ||||
\(848\) | − | 15526.2i | − | 0.628742i | ||||||
\(849\) | 7777.68 | + | 4785.75i | 0.314404 | + | 0.193459i | ||||
\(850\) | 98.9369 | − | 57.1212i | 0.00399236 | − | 0.00230499i | ||||
\(851\) | −4557.22 | + | 2631.11i | −0.183572 | + | 0.105985i | ||||
\(852\) | 37748.3 | + | 23227.3i | 1.51788 | + | 0.933982i | ||||
\(853\) | − | 17751.9i | − | 0.712559i | −0.934379 | − | 0.356280i | \(-0.884045\pi\) | ||
0.934379 | − | 0.356280i | \(-0.115955\pi\) | |||||||
\(854\) | −664.638 | − | 300.515i | −0.0266317 | − | 0.0120415i | ||||
\(855\) | −984.850 | + | 17562.9i | −0.0393932 | + | 0.702499i | ||||
\(856\) | 1251.09 | − | 2166.94i | 0.0499547 | − | 0.0865241i | ||||
\(857\) | 6500.24 | + | 11258.7i | 0.259094 | + | 0.448765i | 0.966000 | − | 0.258544i | \(-0.0832426\pi\) |
−0.706905 | + | 0.707308i | \(0.749909\pi\) | |||||||
\(858\) | −443.653 | + | 239.835i | −0.0176528 | + | 0.00954291i | ||||
\(859\) | 15348.1 | + | 8861.23i | 0.609628 | + | 0.351969i | 0.772820 | − | 0.634625i | \(-0.218846\pi\) |
−0.163192 | + | 0.986594i | \(0.552179\pi\) | |||||||
\(860\) | 9904.83 | 0.392735 | ||||||||
\(861\) | −23732.3 | − | 11541.6i | −0.939368 | − | 0.456838i | ||||
\(862\) | 2439.34 | 0.0963855 | ||||||||
\(863\) | 1571.32 | + | 907.201i | 0.0619795 | + | 0.0357839i | 0.530670 | − | 0.847579i | \(-0.321941\pi\) |
−0.468690 | + | 0.883363i | \(0.655274\pi\) | |||||||
\(864\) | −3732.75 | + | 1755.36i | −0.146980 | + | 0.0691188i | ||||
\(865\) | 5547.75 | + | 9608.98i | 0.218068 | + | 0.377705i | ||||
\(866\) | −472.548 | + | 818.476i | −0.0185425 | + | 0.0321166i | ||||
\(867\) | 20929.6 | + | 586.360i | 0.819845 | + | 0.0229687i | ||||
\(868\) | 2206.48 | − | 219.068i | 0.0862821 | − | 0.00856643i | ||||
\(869\) | − | 201.288i | − | 0.00785756i | ||||||
\(870\) | −346.483 | + | 563.095i | −0.0135021 | + | 0.0219433i | ||||
\(871\) | 8679.92 | − | 5011.35i | 0.337667 | − | 0.194952i | ||||
\(872\) | −311.331 | + | 179.747i | −0.0120906 | + | 0.00698051i | ||||
\(873\) | −25253.5 | − | 16531.4i | −0.979039 | − | 0.640898i | ||||
\(874\) | 3121.76i | 0.120818i | ||||||||
\(875\) | −1880.71 | + | 1349.93i | −0.0726623 | + | 0.0521554i | ||||
\(876\) | −1154.36 | + | 41203.8i | −0.0445231 | + | 1.58921i | ||||
\(877\) | −19242.8 | + | 33329.5i | −0.740916 | + | 1.28330i | 0.211162 | + | 0.977451i | \(0.432275\pi\) |
−0.952079 | + | 0.305854i | \(0.901058\pi\) | |||||||
\(878\) | −484.454 | − | 839.099i | −0.0186213 | − | 0.0322531i | ||||
\(879\) | 7611.45 | + | 14079.9i | 0.292068 | + | 0.540276i | ||||
\(880\) | 4752.95 | + | 2744.12i | 0.182070 | + | 0.105118i | ||||
\(881\) | −8924.43 | −0.341285 | −0.170642 | − | 0.985333i | \(-0.554584\pi\) | ||||
−0.170642 | + | 0.985333i | \(0.554584\pi\) | |||||||
\(882\) | −201.357 | − | 1409.45i | −0.00768714 | − | 0.0538079i | ||||
\(883\) | −48075.7 | −1.83225 | −0.916124 | − | 0.400894i | \(-0.868699\pi\) | ||||
−0.916124 | + | 0.400894i | \(0.868699\pi\) | |||||||
\(884\) | −7491.25 | − | 4325.07i | −0.285020 | − | 0.164556i | ||||
\(885\) | −7227.23 | − | 13369.1i | −0.274509 | − | 0.507796i | ||||
\(886\) | −1071.46 | − | 1855.83i | −0.0406281 | − | 0.0703699i | ||||
\(887\) | 6260.47 | − | 10843.4i | 0.236985 | − | 0.410470i | −0.722863 | − | 0.690992i | \(-0.757174\pi\) |
0.959848 | + | 0.280521i | \(0.0905074\pi\) | |||||||
\(888\) | 12.0688 | − | 430.785i | 0.000456084 | − | 0.0162795i | ||||
\(889\) | −33671.3 | + | 24168.5i | −1.27030 | + | 0.911795i | ||||
\(890\) | 843.353i | 0.0317632i | ||||||||
\(891\) | 10150.9 | + | 7489.11i | 0.381670 | + | 0.281588i | ||||
\(892\) | −32637.9 | + | 18843.5i | −1.22511 | + | 0.707318i | ||||
\(893\) | −51798.2 | + | 29905.7i | −1.94105 | + | 1.12067i | ||||
\(894\) | −611.987 | + | 994.586i | −0.0228948 | + | 0.0372080i | ||||
\(895\) | 2623.72i | 0.0979901i | ||||||||
\(896\) | 5759.86 | − | 571.862i | 0.214758 | − | 0.0213221i | ||||
\(897\) | −29532.4 | − | 827.375i | −1.09928 | − | 0.0307974i | ||||
\(898\) | 881.188 | − | 1526.26i | 0.0327457 | − | 0.0567172i | ||||
\(899\) | 1242.28 | + | 2151.70i | 0.0460873 | + | 0.0798256i | ||||
\(900\) | −2426.75 | − | 4806.13i | −0.0898795 | − | 0.178005i | ||||
\(901\) | 6300.69 | + | 3637.71i | 0.232971 | + | 0.134506i | ||||
\(902\) | 729.515 | 0.0269292 | ||||||||
\(903\) | −21493.2 | − | 10452.7i | −0.792082 | − | 0.385209i | ||||
\(904\) | −2238.84 | −0.0823702 | ||||||||
\(905\) | −13222.4 | − | 7633.96i | −0.485666 | − | 0.280399i | ||||
\(906\) | −1064.92 | + | 575.683i | −0.0390502 | + | 0.0211102i | ||||
\(907\) | −10558.3 | − | 18287.5i | −0.386529 | − | 0.669488i | 0.605451 | − | 0.795882i | \(-0.292993\pi\) |
−0.991980 | + | 0.126395i | \(0.959659\pi\) | |||||||
\(908\) | 11088.6 | − | 19206.0i | 0.405273 | − | 0.701953i | ||||
\(909\) | 46613.8 | + | 2613.90i | 1.70086 | + | 0.0953770i | ||||
\(910\) | −473.274 | − | 213.990i | −0.0172405 | − | 0.00779528i | ||||
\(911\) | 26013.1i | 0.946050i | 0.881049 | + | 0.473025i | \(0.156838\pi\) | ||||
−0.881049 | + | 0.473025i | \(0.843162\pi\) | |||||||
\(912\) | 36578.0 | + | 22507.2i | 1.32809 | + | 0.817200i | ||||
\(913\) | −8761.08 | + | 5058.21i | −0.317579 | + | 0.183354i | ||||
\(914\) | −130.383 | + | 75.2765i | −0.00471847 | + | 0.00272421i | ||||
\(915\) | 5668.68 | + | 3488.05i | 0.204810 | + | 0.126023i | ||||
\(916\) | − | 23448.1i | − | 0.845793i | ||||||
\(917\) | −2564.22 | − | 25827.1i | −0.0923425 | − | 0.930084i | ||||
\(918\) | 53.8064 | − | 638.849i | 0.00193450 | − | 0.0229686i | ||||
\(919\) | 13097.3 | − | 22685.3i | 0.470121 | − | 0.814274i | −0.529295 | − | 0.848438i | \(-0.677543\pi\) |
0.999416 | + | 0.0341639i | \(0.0108768\pi\) | |||||||
\(920\) | −956.916 | − | 1657.43i | −0.0342919 | − | 0.0593954i | ||||
\(921\) | 40616.6 | − | 21957.0i | 1.45316 | − | 0.785566i | ||||
\(922\) | 1326.78 | + | 766.016i | 0.0473917 | + | 0.0273616i | ||||
\(923\) | −39016.0 | −1.39136 | ||||||||
\(924\) | −7439.99 | − | 11003.2i | −0.264889 | − | 0.391752i | ||||
\(925\) | 844.174 | 0.0300068 | ||||||||
\(926\) | −1121.56 | − | 647.531i | −0.0398020 | − | 0.0229797i | ||||
\(927\) | 27192.7 | − | 13730.3i | 0.963457 | − | 0.486476i | ||||
\(928\) | 2433.38 | + | 4214.74i | 0.0860771 | + | 0.149090i | ||||
\(929\) | −7499.33 | + | 12989.2i | −0.264849 | + | 0.458732i | −0.967524 | − | 0.252779i | \(-0.918656\pi\) |
0.702675 | + | 0.711511i | \(0.251989\pi\) | |||||||
\(930\) | 59.9292 | + | 1.67897i | 0.00211307 | + | 5.91995e-5i | ||||
\(931\) | −33555.5 | + | 29520.7i | −1.18124 | + | 1.03921i | ||||
\(932\) | − | 48153.8i | − | 1.69241i | ||||||
\(933\) | 5015.24 | − | 8150.64i | 0.175982 | − | 0.286002i | ||||
\(934\) | −973.564 | + | 562.087i | −0.0341071 | + | 0.0196917i | ||||
\(935\) | −2227.18 | + | 1285.86i | −0.0778999 | + | 0.0449755i | ||||
\(936\) | 1325.18 | − | 2024.35i | 0.0462765 | − | 0.0706923i | ||||
\(937\) | − | 8484.86i | − | 0.295825i | −0.989000 | − | 0.147913i | \(-0.952745\pi\) | ||
0.989000 | − | 0.147913i | \(-0.0472555\pi\) | |||||||
\(938\) | −456.096 | − | 635.427i | −0.0158764 | − | 0.0221188i | ||||
\(939\) | −62.9943 | + | 2248.52i | −0.00218929 | + | 0.0781445i | ||||
\(940\) | 9153.48 | − | 15854.3i | 0.317610 | − | 0.550117i | ||||
\(941\) | 4495.58 | + | 7786.57i | 0.155740 | + | 0.269750i | 0.933328 | − | 0.359024i | \(-0.116890\pi\) |
−0.777588 | + | 0.628774i | \(0.783557\pi\) | |||||||
\(942\) | −654.013 | − | 1209.81i | −0.0226209 | − | 0.0418448i | ||||
\(943\) | 37009.9 | + | 21367.7i | 1.27806 | + | 0.737888i | ||||
\(944\) | −37105.7 | −1.27933 | ||||||||
\(945\) | 194.011 | + | 12990.2i | 0.00667848 | + | 0.447164i | ||||
\(946\) | 660.687 | 0.0227070 | ||||||||
\(947\) | −5302.79 | − | 3061.57i | −0.181961 | − | 0.105056i | 0.406252 | − | 0.913761i | \(-0.366835\pi\) |
−0.588214 | + | 0.808705i | \(0.700169\pi\) | |||||||
\(948\) | 229.275 | + | 424.119i | 0.00785496 | + | 0.0145303i | ||||
\(949\) | −18142.6 | − | 31424.0i | −0.620584 | − | 1.07488i | ||||
\(950\) | 250.398 | − | 433.703i | 0.00855158 | − | 0.0148118i | ||||
\(951\) | −606.184 | + | 21637.2i | −0.0206697 | + | 0.737785i | ||||
\(952\) | −557.059 | + | 1232.03i | −0.0189647 | + | 0.0419435i | ||||
\(953\) | 228.212i | 0.00775711i | 0.999992 | + | 0.00387855i | \(0.00123459\pi\) | ||||
−0.999992 | + | 0.00387855i | \(0.998765\pi\) | |||||||
\(954\) | −556.462 | + | 850.055i | −0.0188848 | + | 0.0288486i | ||||
\(955\) | −16071.9 | + | 9279.09i | −0.544579 | + | 0.314413i | ||||
\(956\) | −29861.1 | + | 17240.3i | −1.01023 | + | 0.583254i | ||||
\(957\) | 7799.70 | − | 12675.9i | 0.263457 | − | 0.428164i | ||||
\(958\) | 77.4197i | 0.00261098i | ||||||||
\(959\) | 6832.44 | − | 15111.1i | 0.230064 | − | 0.508823i | ||||
\(960\) | −13061.8 | − | 365.938i | −0.439133 | − | 0.0123027i | ||||
\(961\) | −14782.9 | + | 25604.6i | −0.496219 | + | 0.859476i | ||||
\(962\) | 94.7001 | + | 164.025i | 0.00317386 | + | 0.00549729i | ||||
\(963\) | 24553.4 | − | 12397.7i | 0.821621 | − | 0.414859i | ||||
\(964\) | 31231.8 | + | 18031.7i | 1.04347 | + | 0.602450i | ||||
\(965\) | −16841.1 | −0.561798 | ||||||||
\(966\) | 163.448 | + | 2299.80i | 0.00544395 | + | 0.0765993i | ||||
\(967\) | 2427.96 | 0.0807425 | 0.0403712 | − | 0.999185i | \(-0.487146\pi\) | ||||
0.0403712 | + | 0.999185i | \(0.487146\pi\) | |||||||
\(968\) | −2194.26 | − | 1266.85i | −0.0728575 | − | 0.0420643i | ||||
\(969\) | −17703.6 | + | 9570.42i | −0.586917 | + | 0.317282i | ||||
\(970\) | 429.656 | + | 744.186i | 0.0142221 | + | 0.0246334i | ||||
\(971\) | 29081.4 | − | 50370.5i | 0.961140 | − | 1.66474i | 0.241495 | − | 0.970402i | \(-0.422362\pi\) |
0.719645 | − | 0.694342i | \(-0.244305\pi\) | |||||||
\(972\) | −29918.6 | − | 4217.49i | −0.987285 | − | 0.139173i | ||||
\(973\) | 4653.27 | + | 6482.87i | 0.153316 | + | 0.213599i | ||||
\(974\) | − | 486.074i | − | 0.0159906i | ||||||
\(975\) | 4036.54 | + | 2483.76i | 0.132587 | + | 0.0815836i | ||||
\(976\) | 14073.4 | − | 8125.30i | 0.461557 | − | 0.266480i | ||||
\(977\) | −18454.9 | + | 10655.0i | −0.604326 | + | 0.348908i | −0.770741 | − | 0.637148i | \(-0.780114\pi\) |
0.166416 | + | 0.986056i | \(0.446781\pi\) | |||||||
\(978\) | −653.892 | − | 402.352i | −0.0213795 | − | 0.0131552i | ||||
\(979\) | − | 18984.8i | − | 0.619772i | ||||||
\(980\) | 4376.78 | − | 12960.4i | 0.142664 | − | 0.422453i | ||||
\(981\) | −3945.64 | − | 221.254i | −0.128414 | − | 0.00720093i | ||||
\(982\) | −492.141 | + | 852.413i | −0.0159927 | + | 0.0277002i | ||||
\(983\) | 2012.71 | + | 3486.11i | 0.0653056 | + | 0.113113i | 0.896830 | − | 0.442376i | \(-0.145864\pi\) |
−0.831524 | + | 0.555489i | \(0.812531\pi\) | |||||||
\(984\) | −3078.77 | + | 1664.36i | −0.0997436 | + | 0.0539204i | ||||
\(985\) | −19656.6 | − | 11348.8i | −0.635850 | − | 0.367108i | ||||
\(986\) | −756.415 | −0.0244312 | ||||||||
\(987\) | −36594.1 | + | 24743.6i | −1.18014 | + | 0.797972i | ||||
\(988\) | −37919.1 | −1.22102 | ||||||||
\(989\) | 33518.1 | + | 19351.7i | 1.07767 | + | 0.622193i | ||||
\(990\) | −161.872 | − | 320.585i | −0.00519661 | − | 0.0102918i | ||||
\(991\) | −2914.75 | − | 5048.50i | −0.0934311 | − | 0.161827i | 0.815522 | − | 0.578727i | \(-0.196450\pi\) |
−0.908953 | + | 0.416899i | \(0.863117\pi\) | |||||||
\(992\) | 220.656 | − | 382.187i | 0.00706232 | − | 0.0122323i | ||||
\(993\) | 939.677 | + | 26.3259i | 0.0300300 | + | 0.000841315i | ||||
\(994\) | 300.821 | + | 3029.90i | 0.00959905 | + | 0.0966827i | ||||
\(995\) | − | 3570.58i | − | 0.113764i | ||||||
\(996\) | 12698.4 | − | 20637.0i | 0.403979 | − | 0.656535i | ||||
\(997\) | 39114.3 | − | 22582.7i | 1.24249 | − | 0.717352i | 0.272890 | − | 0.962045i | \(-0.412021\pi\) |
0.969601 | + | 0.244693i | \(0.0786872\pi\) | |||||||
\(998\) | −522.043 | + | 301.402i | −0.0165581 | + | 0.00955983i | ||||
\(999\) | 2704.66 | − | 3889.42i | 0.0856572 | − | 0.123179i |
(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 | 105.4.s.a.26.8 | ✓ | 32 | |
3.2 | odd | 2 | 105.4.s.b.26.9 | yes | 32 | ||
7.3 | odd | 6 | 105.4.s.b.101.9 | yes | 32 | ||
21.17 | even | 6 | inner | 105.4.s.a.101.8 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.4.s.a.26.8 | ✓ | 32 | 1.1 | even | 1 | trivial | |
105.4.s.a.101.8 | yes | 32 | 21.17 | even | 6 | inner | |
105.4.s.b.26.9 | yes | 32 | 3.2 | odd | 2 | ||
105.4.s.b.101.9 | yes | 32 | 7.3 | odd | 6 |