Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.92 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.92 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.57282 | − | 1.23541i | 0.786412 | − | 0.617703i | ||||
\(3\) | −2.13948 | + | 2.10301i | −0.713159 | + | 0.701003i | ||||
\(4\) | 0.947546 | − | 3.88615i | 0.236887 | − | 0.971537i | ||||
\(5\) | 4.57873 | − | 2.00878i | 0.915747 | − | 0.401756i | ||||
\(6\) | −0.766950 | + | 5.95078i | −0.127825 | + | 0.991797i | ||||
\(7\) | 0.467335 | − | 0.467335i | 0.0667622 | − | 0.0667622i | −0.672937 | − | 0.739699i | \(-0.734968\pi\) |
0.739699 | + | 0.672937i | \(0.234968\pi\) | |||||||
\(8\) | −3.31065 | − | 7.28283i | −0.413831 | − | 0.910354i | ||||
\(9\) | 0.154715 | − | 8.99867i | 0.0171905 | − | 0.999852i | ||||
\(10\) | 4.71988 | − | 8.81605i | 0.471988 | − | 0.881605i | ||||
\(11\) | 6.23663 | + | 4.53118i | 0.566966 | + | 0.411925i | 0.834002 | − | 0.551762i | \(-0.186044\pi\) |
−0.267036 | + | 0.963687i | \(0.586044\pi\) | |||||||
\(12\) | 6.14535 | + | 10.3070i | 0.512112 | + | 0.858918i | ||||
\(13\) | −0.214421 | + | 1.35380i | −0.0164939 | + | 0.104138i | −0.994562 | − | 0.104148i | \(-0.966789\pi\) |
0.978068 | + | 0.208286i | \(0.0667885\pi\) | |||||||
\(14\) | 0.157687 | − | 1.31238i | 0.0112634 | − | 0.0937417i | ||||
\(15\) | −5.57161 | + | 13.9269i | −0.371440 | + | 0.928457i | ||||
\(16\) | −14.2043 | − | 7.36461i | −0.887769 | − | 0.460288i | ||||
\(17\) | −2.24244 | − | 4.40103i | −0.131908 | − | 0.258884i | 0.815600 | − | 0.578616i | \(-0.196407\pi\) |
−0.947508 | + | 0.319732i | \(0.896407\pi\) | |||||||
\(18\) | −10.8737 | − | 14.3445i | −0.604093 | − | 0.796914i | ||||
\(19\) | 9.89600 | − | 30.4568i | 0.520842 | − | 1.60299i | −0.251552 | − | 0.967844i | \(-0.580941\pi\) |
0.772394 | − | 0.635144i | \(-0.219059\pi\) | |||||||
\(20\) | −3.46786 | − | 19.6971i | −0.173393 | − | 0.984853i | ||||
\(21\) | −0.0170428 | + | 1.98266i | −0.000811560 | + | 0.0944125i | ||||
\(22\) | 15.4070 | − | 0.578026i | 0.700316 | − | 0.0262739i | ||||
\(23\) | 18.1917 | − | 2.88128i | 0.790943 | − | 0.125273i | 0.252124 | − | 0.967695i | \(-0.418871\pi\) |
0.538818 | + | 0.842422i | \(0.318871\pi\) | |||||||
\(24\) | 22.3989 | + | 8.61912i | 0.933287 | + | 0.359130i | ||||
\(25\) | 16.9296 | − | 18.3953i | 0.677184 | − | 0.735814i | ||||
\(26\) | 1.33524 | + | 2.39418i | 0.0513555 | + | 0.0920839i | ||||
\(27\) | 18.5933 | + | 19.5778i | 0.688639 | + | 0.725104i | ||||
\(28\) | −1.37331 | − | 2.25896i | −0.0490469 | − | 0.0806770i | ||||
\(29\) | −3.46494 | − | 10.6640i | −0.119481 | − | 0.367724i | 0.873374 | − | 0.487049i | \(-0.161927\pi\) |
−0.992855 | + | 0.119325i | \(0.961927\pi\) | |||||||
\(30\) | 8.44216 | + | 28.7877i | 0.281405 | + | 0.959589i | ||||
\(31\) | −3.44869 | − | 1.12055i | −0.111248 | − | 0.0361467i | 0.252864 | − | 0.967502i | \(-0.418627\pi\) |
−0.364112 | + | 0.931355i | \(0.618627\pi\) | |||||||
\(32\) | −31.4392 | + | 5.96485i | −0.982474 | + | 0.186401i | ||||
\(33\) | −22.8722 | + | 3.42134i | −0.693097 | + | 0.103677i | ||||
\(34\) | −8.96401 | − | 4.15172i | −0.263647 | − | 0.122110i | ||||
\(35\) | 1.20103 | − | 3.07858i | 0.0343151 | − | 0.0879593i | ||||
\(36\) | −34.8236 | − | 9.12790i | −0.967322 | − | 0.253553i | ||||
\(37\) | 43.7106 | + | 6.92308i | 1.18137 | + | 0.187110i | 0.716060 | − | 0.698039i | \(-0.245944\pi\) |
0.465308 | + | 0.885149i | \(0.345944\pi\) | |||||||
\(38\) | −22.0618 | − | 60.1287i | −0.580573 | − | 1.58233i | ||||
\(39\) | −2.38830 | − | 3.34735i | −0.0612385 | − | 0.0858294i | ||||
\(40\) | −29.7882 | − | 26.6958i | −0.744705 | − | 0.667394i | ||||
\(41\) | −9.63498 | − | 13.2614i | −0.234999 | − | 0.323449i | 0.675188 | − | 0.737646i | \(-0.264063\pi\) |
−0.910187 | + | 0.414197i | \(0.864063\pi\) | |||||||
\(42\) | 2.42259 | + | 3.13943i | 0.0576806 | + | 0.0747484i | ||||
\(43\) | −17.2313 | − | 17.2313i | −0.400728 | − | 0.400728i | 0.477761 | − | 0.878490i | \(-0.341448\pi\) |
−0.878490 | + | 0.477761i | \(0.841448\pi\) | |||||||
\(44\) | 23.5183 | − | 19.9430i | 0.534507 | − | 0.453249i | ||||
\(45\) | −17.3680 | − | 41.5133i | −0.385955 | − | 0.922518i | ||||
\(46\) | 25.0528 | − | 27.0058i | 0.544625 | − | 0.587084i | ||||
\(47\) | −20.1804 | + | 39.6062i | −0.429370 | + | 0.842685i | 0.570403 | + | 0.821365i | \(0.306787\pi\) |
−0.999773 | + | 0.0213204i | \(0.993213\pi\) | |||||||
\(48\) | 45.8776 | − | 14.1154i | 0.955784 | − | 0.294070i | ||||
\(49\) | 48.5632i | 0.991086i | ||||||||
\(50\) | 3.90154 | − | 49.8475i | 0.0780308 | − | 0.996951i | ||||
\(51\) | 14.0530 | + | 4.70003i | 0.275550 | + | 0.0921575i | ||||
\(52\) | 5.05789 | + | 2.11606i | 0.0972671 | + | 0.0406934i | ||||
\(53\) | −42.6234 | + | 83.6531i | −0.804215 | + | 1.57836i | 0.0115198 | + | 0.999934i | \(0.496333\pi\) |
−0.815734 | + | 0.578427i | \(0.803667\pi\) | |||||||
\(54\) | 53.4305 | + | 7.82220i | 0.989453 | + | 0.144856i | ||||
\(55\) | 37.6580 | + | 8.21902i | 0.684691 | + | 0.149437i | ||||
\(56\) | −4.95070 | − | 1.85634i | −0.0884054 | − | 0.0331489i | ||||
\(57\) | 42.8786 | + | 85.9729i | 0.752255 | + | 1.50830i | ||||
\(58\) | −18.6241 | − | 12.4920i | −0.321105 | − | 0.215379i | ||||
\(59\) | 27.7933 | + | 38.2541i | 0.471072 | + | 0.648375i | 0.976759 | − | 0.214342i | \(-0.0687607\pi\) |
−0.505686 | + | 0.862717i | \(0.668761\pi\) | |||||||
\(60\) | 48.8425 | + | 34.8484i | 0.814041 | + | 0.580807i | ||||
\(61\) | −31.8550 | − | 23.1440i | −0.522214 | − | 0.379410i | 0.295223 | − | 0.955428i | \(-0.404606\pi\) |
−0.817437 | + | 0.576018i | \(0.804606\pi\) | |||||||
\(62\) | −6.80851 | + | 2.49811i | −0.109815 | + | 0.0402920i | ||||
\(63\) | −4.13309 | − | 4.27770i | −0.0656046 | − | 0.0679000i | ||||
\(64\) | −42.0792 | + | 48.2218i | −0.657488 | + | 0.753465i | ||||
\(65\) | 1.73771 | + | 6.62940i | 0.0267340 | + | 0.101991i | ||||
\(66\) | −31.7472 | + | 33.6376i | −0.481018 | + | 0.509661i | ||||
\(67\) | −6.11543 | − | 12.0022i | −0.0912751 | − | 0.179137i | 0.840856 | − | 0.541260i | \(-0.182052\pi\) |
−0.932131 | + | 0.362122i | \(0.882052\pi\) | |||||||
\(68\) | −19.2279 | + | 4.54426i | −0.282763 | + | 0.0668274i | ||||
\(69\) | −32.8613 | + | 44.4217i | −0.476251 | + | 0.643792i | ||||
\(70\) | −1.91429 | − | 6.32582i | −0.0273469 | − | 0.0903688i | ||||
\(71\) | 15.7988 | + | 48.6239i | 0.222519 | + | 0.684843i | 0.998534 | + | 0.0541285i | \(0.0172381\pi\) |
−0.776015 | + | 0.630714i | \(0.782762\pi\) | |||||||
\(72\) | −66.0480 | + | 28.6647i | −0.917333 | + | 0.398120i | ||||
\(73\) | −80.9566 | + | 12.8223i | −1.10900 | + | 0.175648i | −0.683953 | − | 0.729526i | \(-0.739741\pi\) |
−0.425042 | + | 0.905174i | \(0.639741\pi\) | |||||||
\(74\) | 77.3019 | − | 43.1116i | 1.04462 | − | 0.582589i | ||||
\(75\) | 2.46511 | + | 74.9595i | 0.0328682 | + | 0.999460i | ||||
\(76\) | −108.983 | − | 67.3165i | −1.43398 | − | 0.885744i | ||||
\(77\) | 5.03217 | − | 0.797018i | 0.0653529 | − | 0.0103509i | ||||
\(78\) | −7.89170 | − | 2.31427i | −0.101176 | − | 0.0296701i | ||||
\(79\) | −7.54896 | − | 23.2333i | −0.0955565 | − | 0.294093i | 0.891842 | − | 0.452347i | \(-0.149413\pi\) |
−0.987398 | + | 0.158255i | \(0.949413\pi\) | |||||||
\(80\) | −79.8317 | − | 5.18724i | −0.997896 | − | 0.0648405i | ||||
\(81\) | −80.9521 | − | 2.78446i | −0.999409 | − | 0.0343760i | ||||
\(82\) | −31.5373 | − | 8.95475i | −0.384602 | − | 0.109204i | ||||
\(83\) | 43.6127 | + | 85.5947i | 0.525454 | + | 1.03126i | 0.989375 | + | 0.145385i | \(0.0464420\pi\) |
−0.463921 | + | 0.885876i | \(0.653558\pi\) | |||||||
\(84\) | 7.68877 | + | 1.94490i | 0.0915330 | + | 0.0231535i | ||||
\(85\) | −19.1082 | − | 15.6466i | −0.224803 | − | 0.184077i | ||||
\(86\) | −48.3895 | − | 5.81416i | −0.562669 | − | 0.0676065i | ||||
\(87\) | 29.8396 | + | 15.5286i | 0.342984 | + | 0.178489i | ||||
\(88\) | 12.3525 | − | 60.4214i | 0.140369 | − | 0.686607i | ||||
\(89\) | 131.861 | + | 95.8029i | 1.48159 | + | 1.07644i | 0.977040 | + | 0.213054i | \(0.0683410\pi\) |
0.504548 | + | 0.863383i | \(0.331659\pi\) | |||||||
\(90\) | −78.6025 | − | 43.8366i | −0.873361 | − | 0.487073i | ||||
\(91\) | 0.532471 | + | 0.732884i | 0.00585133 | + | 0.00805367i | ||||
\(92\) | 6.04038 | − | 73.4257i | 0.0656563 | − | 0.798106i | ||||
\(93\) | 9.73490 | − | 4.85524i | 0.104676 | − | 0.0522068i | ||||
\(94\) | 17.1896 | + | 87.2245i | 0.182868 | + | 0.927920i | ||||
\(95\) | −15.8698 | − | 159.332i | −0.167051 | − | 1.67718i | ||||
\(96\) | 54.7192 | − | 78.8784i | 0.569992 | − | 0.821650i | ||||
\(97\) | −66.3279 | + | 130.176i | −0.683793 | + | 1.34202i | 0.244311 | + | 0.969697i | \(0.421438\pi\) |
−0.928104 | + | 0.372322i | \(0.878562\pi\) | |||||||
\(98\) | 59.9952 | + | 76.3813i | 0.612196 | + | 0.779401i | ||||
\(99\) | 41.7395 | − | 55.4203i | 0.421611 | − | 0.559801i | ||||
\(100\) | −55.4455 | − | 83.2214i | −0.554455 | − | 0.832214i | ||||
\(101\) | − | 95.3699i | − | 0.944257i | −0.881530 | − | 0.472128i | \(-0.843486\pi\) | ||
0.881530 | − | 0.472128i | \(-0.156514\pi\) | |||||||
\(102\) | 27.9094 | − | 9.96888i | 0.273622 | − | 0.0977341i | ||||
\(103\) | −43.8899 | + | 86.1388i | −0.426116 | + | 0.836299i | 0.573735 | + | 0.819041i | \(0.305494\pi\) |
−0.999851 | + | 0.0172585i | \(0.994506\pi\) | |||||||
\(104\) | 10.5694 | − | 2.92036i | 0.101628 | − | 0.0280804i | ||||
\(105\) | 3.90470 | + | 9.11231i | 0.0371876 | + | 0.0867840i | ||||
\(106\) | 36.3064 | + | 184.229i | 0.342514 | + | 1.73801i | ||||
\(107\) | 28.1689 | + | 28.1689i | 0.263261 | + | 0.263261i | 0.826377 | − | 0.563117i | \(-0.190398\pi\) |
−0.563117 | + | 0.826377i | \(0.690398\pi\) | |||||||
\(108\) | 93.7003 | − | 53.7053i | 0.867595 | − | 0.497272i | ||||
\(109\) | −90.3070 | − | 124.297i | −0.828505 | − | 1.14034i | −0.988199 | − | 0.153172i | \(-0.951051\pi\) |
0.159695 | − | 0.987166i | \(-0.448949\pi\) | |||||||
\(110\) | 69.3832 | − | 33.5958i | 0.630756 | − | 0.305417i | ||||
\(111\) | −108.077 | + | 77.1120i | −0.973668 | + | 0.694703i | ||||
\(112\) | −10.0799 | + | 3.19643i | −0.0899993 | + | 0.0285396i | ||||
\(113\) | 156.720 | + | 24.8220i | 1.38690 | + | 0.219664i | 0.804845 | − | 0.593485i | \(-0.202248\pi\) |
0.582056 | + | 0.813149i | \(0.302248\pi\) | |||||||
\(114\) | 173.652 | + | 82.2478i | 1.52326 | + | 0.721472i | ||||
\(115\) | 77.5070 | − | 49.7357i | 0.673974 | − | 0.432485i | ||||
\(116\) | −44.7250 | + | 3.36065i | −0.385561 | + | 0.0289711i | ||||
\(117\) | 12.1492 | + | 2.13895i | 0.103839 | + | 0.0182816i | ||||
\(118\) | 90.9733 | + | 25.8311i | 0.770960 | + | 0.218907i | ||||
\(119\) | −3.10473 | − | 1.00879i | −0.0260901 | − | 0.00847720i | ||||
\(120\) | 119.873 | − | 5.52983i | 0.998938 | − | 0.0460819i | ||||
\(121\) | −19.0271 | − | 58.5593i | −0.157249 | − | 0.483961i | ||||
\(122\) | −78.6946 | + | 2.95240i | −0.645038 | + | 0.0242000i | ||||
\(123\) | 48.5027 | + | 8.11003i | 0.394331 | + | 0.0659352i | ||||
\(124\) | −7.62240 | + | 12.3403i | −0.0614710 | + | 0.0995189i | ||||
\(125\) | 40.5638 | − | 118.235i | 0.324511 | − | 0.945882i | ||||
\(126\) | −11.7853 | − | 1.62202i | −0.0935342 | − | 0.0128732i | ||||
\(127\) | 242.197 | − | 38.3602i | 1.90706 | − | 0.302049i | 0.912748 | − | 0.408524i | \(-0.133956\pi\) |
0.994315 | + | 0.106474i | \(0.0339562\pi\) | |||||||
\(128\) | −6.60977 | + | 127.829i | −0.0516389 | + | 0.998666i | ||||
\(129\) | 73.1036 | + | 0.628392i | 0.566695 | + | 0.00487125i | ||||
\(130\) | 10.9231 | + | 8.28010i | 0.0840239 | + | 0.0636931i | ||||
\(131\) | −55.0771 | + | 169.510i | −0.420436 | + | 1.29397i | 0.486861 | + | 0.873479i | \(0.338142\pi\) |
−0.907297 | + | 0.420490i | \(0.861858\pi\) | |||||||
\(132\) | −8.37666 | + | 92.1267i | −0.0634595 | + | 0.697930i | ||||
\(133\) | −9.60877 | − | 18.8583i | −0.0722464 | − | 0.141791i | ||||
\(134\) | −24.4461 | − | 11.3223i | −0.182433 | − | 0.0844949i | ||||
\(135\) | 124.461 | + | 52.2917i | 0.921934 | + | 0.387346i | ||||
\(136\) | −24.6280 | + | 30.9015i | −0.181088 | + | 0.227217i | ||||
\(137\) | 23.5818 | − | 148.890i | 0.172130 | − | 1.08679i | −0.738709 | − | 0.674024i | \(-0.764564\pi\) |
0.910839 | − | 0.412762i | \(-0.135436\pi\) | |||||||
\(138\) | 3.19375 | + | 110.464i | 0.0231431 | + | 0.800467i | ||||
\(139\) | −189.529 | − | 137.701i | −1.36352 | − | 0.990654i | −0.998212 | − | 0.0597658i | \(-0.980965\pi\) |
−0.365305 | − | 0.930888i | \(-0.619035\pi\) | |||||||
\(140\) | −10.8258 | − | 7.58447i | −0.0773270 | − | 0.0541748i | ||||
\(141\) | −40.1168 | − | 127.176i | −0.284516 | − | 0.901958i | ||||
\(142\) | 84.9190 | + | 56.9587i | 0.598021 | + | 0.401118i | ||||
\(143\) | −7.47156 | + | 7.47156i | −0.0522487 | + | 0.0522487i | ||||
\(144\) | −68.4693 | + | 126.680i | −0.475482 | + | 0.879726i | ||||
\(145\) | −37.2867 | − | 41.8673i | −0.257149 | − | 0.288740i | ||||
\(146\) | −111.490 | + | 120.181i | −0.763629 | + | 0.823161i | ||||
\(147\) | −102.129 | − | 103.900i | −0.694754 | − | 0.706801i | ||||
\(148\) | 68.3220 | − | 163.306i | 0.461635 | − | 1.10342i | ||||
\(149\) | −68.4544 | −0.459425 | −0.229713 | − | 0.973259i | \(-0.573779\pi\) | ||||
−0.229713 | + | 0.973259i | \(0.573779\pi\) | |||||||
\(150\) | 96.4825 | + | 114.853i | 0.643217 | + | 0.765684i | ||||
\(151\) | − | 93.2632i | − | 0.617637i | −0.951121 | − | 0.308818i | \(-0.900066\pi\) | ||
0.951121 | − | 0.308818i | \(-0.0999336\pi\) | |||||||
\(152\) | −254.574 | + | 28.7607i | −1.67483 | + | 0.189215i | ||||
\(153\) | −39.9504 | + | 19.4980i | −0.261113 | + | 0.127438i | ||||
\(154\) | 6.93008 | − | 7.47034i | 0.0450005 | − | 0.0485087i | ||||
\(155\) | −18.0416 | + | 1.79698i | −0.116397 | + | 0.0115934i | ||||
\(156\) | −15.2713 | + | 6.10953i | −0.0978930 | + | 0.0391636i | ||||
\(157\) | 73.0390 | + | 73.0390i | 0.465217 | + | 0.465217i | 0.900361 | − | 0.435144i | \(-0.143303\pi\) |
−0.435144 | + | 0.900361i | \(0.643303\pi\) | |||||||
\(158\) | −40.5758 | − | 27.2159i | −0.256809 | − | 0.172252i | ||||
\(159\) | −84.7314 | − | 268.611i | −0.532902 | − | 1.68938i | ||||
\(160\) | −131.969 | + | 90.4658i | −0.824809 | + | 0.565412i | ||||
\(161\) | 7.15509 | − | 9.84813i | 0.0444415 | − | 0.0611685i | ||||
\(162\) | −130.763 | + | 95.6292i | −0.807181 | + | 0.590304i | ||||
\(163\) | −54.6573 | − | 8.65687i | −0.335321 | − | 0.0531096i | −0.0134964 | − | 0.999909i | \(-0.504296\pi\) |
−0.321825 | + | 0.946799i | \(0.604296\pi\) | |||||||
\(164\) | −60.6654 | + | 24.8772i | −0.369911 | + | 0.151690i | ||||
\(165\) | −97.8530 | + | 61.6107i | −0.593049 | + | 0.373398i | ||||
\(166\) | 174.339 | + | 80.7460i | 1.05024 | + | 0.486422i | ||||
\(167\) | 30.1154 | − | 15.3445i | 0.180331 | − | 0.0918835i | −0.361494 | − | 0.932374i | \(-0.617733\pi\) |
0.541826 | + | 0.840491i | \(0.317733\pi\) | |||||||
\(168\) | 14.4958 | − | 6.43977i | 0.0862846 | − | 0.0383320i | ||||
\(169\) | 158.942 | + | 51.6433i | 0.940484 | + | 0.305582i | ||||
\(170\) | −49.3837 | − | 1.00289i | −0.290493 | − | 0.00589935i | ||||
\(171\) | −272.539 | − | 93.7630i | −1.59380 | − | 0.548322i | ||||
\(172\) | −83.2910 | + | 50.6360i | −0.484250 | + | 0.294395i | ||||
\(173\) | 36.1098 | + | 227.989i | 0.208727 | + | 1.31785i | 0.840125 | + | 0.542393i | \(0.182482\pi\) |
−0.631397 | + | 0.775459i | \(0.717518\pi\) | |||||||
\(174\) | 66.1165 | − | 12.4404i | 0.379980 | − | 0.0714963i | ||||
\(175\) | −0.685000 | − | 16.5086i | −0.00391429 | − | 0.0943348i | ||||
\(176\) | −55.2167 | − | 110.293i | −0.313731 | − | 0.626662i | ||||
\(177\) | −139.912 | − | 23.3944i | −0.790462 | − | 0.132172i | ||||
\(178\) | 325.750 | − | 12.2212i | 1.83006 | − | 0.0686586i | ||||
\(179\) | −138.981 | + | 45.1578i | −0.776432 | + | 0.252278i | −0.670316 | − | 0.742076i | \(-0.733842\pi\) |
−0.106116 | + | 0.994354i | \(0.533842\pi\) | |||||||
\(180\) | −177.784 | + | 28.1587i | −0.987688 | + | 0.156437i | ||||
\(181\) | 14.7080 | − | 45.2666i | 0.0812597 | − | 0.250092i | −0.902170 | − | 0.431380i | \(-0.858027\pi\) |
0.983430 | + | 0.181288i | \(0.0580268\pi\) | |||||||
\(182\) | 1.74289 | + | 0.494879i | 0.00957633 | + | 0.00271911i | ||||
\(183\) | 116.825 | − | 17.4753i | 0.638389 | − | 0.0954933i | ||||
\(184\) | −81.2101 | − | 122.948i | −0.441359 | − | 0.668196i | ||||
\(185\) | 214.046 | − | 56.1061i | 1.15701 | − | 0.303276i | ||||
\(186\) | 9.31310 | − | 19.6630i | 0.0500704 | − | 0.105715i | ||||
\(187\) | 5.95659 | − | 37.6085i | 0.0318534 | − | 0.201115i | ||||
\(188\) | 134.794 | + | 115.953i | 0.716988 | + | 0.616769i | ||||
\(189\) | 17.8387 | + | 0.460109i | 0.0943846 | + | 0.00243444i | ||||
\(190\) | −221.800 | − | 230.996i | −1.16737 | − | 1.21577i | ||||
\(191\) | −46.2390 | + | 33.5946i | −0.242089 | + | 0.175888i | −0.702213 | − | 0.711967i | \(-0.747805\pi\) |
0.460125 | + | 0.887854i | \(0.347805\pi\) | |||||||
\(192\) | −11.3832 | − | 191.662i | −0.0592877 | − | 0.998241i | ||||
\(193\) | −33.4646 | + | 33.4646i | −0.173392 | + | 0.173392i | −0.788468 | − | 0.615076i | \(-0.789125\pi\) |
0.615076 | + | 0.788468i | \(0.289125\pi\) | |||||||
\(194\) | 56.4979 | + | 286.685i | 0.291226 | + | 1.47776i | ||||
\(195\) | −17.6595 | − | 10.5290i | −0.0905614 | − | 0.0539950i | ||||
\(196\) | 188.724 | + | 46.0159i | 0.962877 | + | 0.234775i | ||||
\(197\) | −30.1558 | − | 15.3652i | −0.153075 | − | 0.0779958i | 0.375775 | − | 0.926711i | \(-0.377377\pi\) |
−0.528850 | + | 0.848715i | \(0.677377\pi\) | |||||||
\(198\) | −2.81778 | − | 138.732i | −0.0142312 | − | 0.700664i | ||||
\(199\) | −255.855 | −1.28570 | −0.642851 | − | 0.765991i | \(-0.722249\pi\) | ||||
−0.642851 | + | 0.765991i | \(0.722249\pi\) | |||||||
\(200\) | −190.018 | − | 62.3948i | −0.950091 | − | 0.311974i | ||||
\(201\) | 38.3246 | + | 12.8176i | 0.190669 | + | 0.0637693i | ||||
\(202\) | −117.821 | − | 150.000i | −0.583270 | − | 0.742575i | ||||
\(203\) | −6.60295 | − | 3.36437i | −0.0325268 | − | 0.0165732i | ||||
\(204\) | 31.5809 | − | 50.1587i | 0.154809 | − | 0.245876i | ||||
\(205\) | −70.7553 | − | 41.3659i | −0.345148 | − | 0.201785i | ||||
\(206\) | 37.3853 | + | 189.703i | 0.181482 | + | 0.920888i | ||||
\(207\) | −23.1132 | − | 164.147i | −0.111658 | − | 0.792979i | ||||
\(208\) | 13.0159 | − | 17.6506i | 0.0625764 | − | 0.0848589i | ||||
\(209\) | 199.723 | − | 145.107i | 0.955611 | − | 0.694292i | ||||
\(210\) | 17.3988 | + | 9.50817i | 0.0828515 | + | 0.0452770i | ||||
\(211\) | −120.893 | + | 166.395i | −0.572951 | + | 0.788600i | −0.992901 | − | 0.118948i | \(-0.962048\pi\) |
0.419949 | + | 0.907548i | \(0.362048\pi\) | |||||||
\(212\) | 284.701 | + | 244.906i | 1.34293 | + | 1.15522i | ||||
\(213\) | −136.058 | − | 70.8045i | −0.638768 | − | 0.332415i | ||||
\(214\) | 79.1048 | + | 9.50470i | 0.369649 | + | 0.0444145i | ||||
\(215\) | −113.512 | − | 44.2837i | −0.527961 | − | 0.205971i | ||||
\(216\) | 81.0261 | − | 200.227i | 0.375121 | − | 0.926976i | ||||
\(217\) | −2.13536 | + | 1.08802i | −0.00984039 | + | 0.00501393i | ||||
\(218\) | −295.594 | − | 83.9313i | −1.35594 | − | 0.385006i | ||||
\(219\) | 146.239 | − | 197.685i | 0.667760 | − | 0.902673i | ||||
\(220\) | 67.6230 | − | 138.557i | 0.307377 | − | 0.629803i | ||||
\(221\) | 6.43893 | − | 2.09213i | 0.0291354 | − | 0.00946667i | ||||
\(222\) | −74.7216 | + | 254.803i | −0.336584 | + | 1.14776i | ||||
\(223\) | 65.8389 | + | 415.690i | 0.295242 | + | 1.86408i | 0.474465 | + | 0.880274i | \(0.342642\pi\) |
−0.179223 | + | 0.983808i | \(0.557358\pi\) | |||||||
\(224\) | −11.9050 | + | 17.4802i | −0.0531475 | + | 0.0780366i | ||||
\(225\) | −162.914 | − | 155.190i | −0.724064 | − | 0.689733i | ||||
\(226\) | 277.158 | − | 154.572i | 1.22636 | − | 0.683946i | ||||
\(227\) | −30.6962 | − | 193.808i | −0.135226 | − | 0.853781i | −0.958283 | − | 0.285822i | \(-0.907733\pi\) |
0.823057 | − | 0.567959i | \(-0.192267\pi\) | |||||||
\(228\) | 374.733 | − | 85.1692i | 1.64357 | − | 0.373549i | ||||
\(229\) | 345.752 | − | 112.342i | 1.50984 | − | 0.490575i | 0.566967 | − | 0.823740i | \(-0.308117\pi\) |
0.942869 | + | 0.333165i | \(0.108117\pi\) | |||||||
\(230\) | 60.4610 | − | 173.978i | 0.262874 | − | 0.756426i | ||||
\(231\) | −9.09008 | + | 12.2879i | −0.0393510 | + | 0.0531944i | ||||
\(232\) | −66.1928 | + | 60.5393i | −0.285314 | + | 0.260945i | ||||
\(233\) | 76.4513 | − | 38.9539i | 0.328117 | − | 0.167184i | −0.282170 | − | 0.959364i | \(-0.591054\pi\) |
0.610287 | + | 0.792180i | \(0.291054\pi\) | |||||||
\(234\) | 21.7510 | − | 11.6450i | 0.0929531 | − | 0.0497650i | ||||
\(235\) | −12.8403 | + | 221.884i | −0.0546396 | + | 0.944188i | ||||
\(236\) | 174.997 | − | 71.7612i | 0.741512 | − | 0.304073i | ||||
\(237\) | 65.0107 | + | 33.8316i | 0.274307 | + | 0.142749i | ||||
\(238\) | −6.12944 | + | 2.24895i | −0.0257540 | + | 0.00944938i | ||||
\(239\) | 102.778 | − | 141.461i | 0.430033 | − | 0.591889i | −0.537928 | − | 0.842991i | \(-0.680793\pi\) |
0.967961 | + | 0.251102i | \(0.0807929\pi\) | |||||||
\(240\) | 181.707 | − | 156.789i | 0.757111 | − | 0.653286i | ||||
\(241\) | 222.607 | − | 161.733i | 0.923679 | − | 0.671092i | −0.0207583 | − | 0.999785i | \(-0.506608\pi\) |
0.944437 | + | 0.328693i | \(0.106608\pi\) | |||||||
\(242\) | −102.271 | − | 68.5973i | −0.422606 | − | 0.283460i | ||||
\(243\) | 179.051 | − | 164.286i | 0.736835 | − | 0.676073i | ||||
\(244\) | −120.125 | + | 101.863i | −0.492317 | + | 0.417473i | ||||
\(245\) | 97.5529 | + | 222.358i | 0.398175 | + | 0.907583i | ||||
\(246\) | 86.3053 | − | 47.1648i | 0.350835 | − | 0.191727i | ||||
\(247\) | 39.1104 | + | 19.9277i | 0.158342 | + | 0.0806791i | ||||
\(248\) | 3.25664 | + | 28.8259i | 0.0131316 | + | 0.116234i | ||||
\(249\) | −273.315 | − | 91.4100i | −1.09765 | − | 0.367108i | ||||
\(250\) | −82.2687 | − | 236.076i | −0.329075 | − | 0.944304i | ||||
\(251\) | −318.893 | −1.27049 | −0.635246 | − | 0.772310i | \(-0.719101\pi\) | ||||
−0.635246 | + | 0.772310i | \(0.719101\pi\) | |||||||
\(252\) | −20.5401 | + | 12.0085i | −0.0815082 | + | 0.0476527i | ||||
\(253\) | 126.510 | + | 64.4602i | 0.500041 | + | 0.254784i | ||||
\(254\) | 333.543 | − | 359.545i | 1.31316 | − | 1.41553i | ||||
\(255\) | 73.7865 | − | 6.70928i | 0.289359 | − | 0.0263109i | ||||
\(256\) | 147.525 | + | 209.219i | 0.576269 | + | 0.817260i | ||||
\(257\) | −144.850 | + | 144.850i | −0.563617 | + | 0.563617i | −0.930333 | − | 0.366716i | \(-0.880482\pi\) |
0.366716 | + | 0.930333i | \(0.380482\pi\) | |||||||
\(258\) | 115.755 | − | 89.3243i | 0.448664 | − | 0.346218i | ||||
\(259\) | 23.6629 | − | 17.1921i | 0.0913626 | − | 0.0663788i | ||||
\(260\) | 27.4094 | − | 0.471333i | 0.105421 | − | 0.00181282i | ||||
\(261\) | −96.4978 | + | 29.5300i | −0.369723 | + | 0.113142i | ||||
\(262\) | 122.787 | + | 334.652i | 0.468653 | + | 1.27730i | ||||
\(263\) | 20.1060 | − | 126.944i | 0.0764486 | − | 0.482677i | −0.919525 | − | 0.393031i | \(-0.871426\pi\) |
0.995974 | − | 0.0896461i | \(-0.0285736\pi\) | |||||||
\(264\) | 100.639 | + | 155.248i | 0.381208 | + | 0.588059i | ||||
\(265\) | −27.1203 | + | 468.646i | −0.102341 | + | 1.76848i | ||||
\(266\) | −38.4105 | − | 17.7900i | −0.144400 | − | 0.0668797i | ||||
\(267\) | −483.589 | + | 72.3375i | −1.81119 | + | 0.270927i | ||||
\(268\) | −52.4370 | + | 12.3928i | −0.195661 | + | 0.0462419i | ||||
\(269\) | 114.223 | − | 351.543i | 0.424622 | − | 1.30685i | −0.478734 | − | 0.877960i | \(-0.658904\pi\) |
0.903356 | − | 0.428891i | \(-0.141096\pi\) | |||||||
\(270\) | 260.357 | − | 71.5143i | 0.964285 | − | 0.264868i | ||||
\(271\) | 191.655 | − | 62.2724i | 0.707213 | − | 0.229788i | 0.0667428 | − | 0.997770i | \(-0.478739\pi\) |
0.640471 | + | 0.767983i | \(0.278739\pi\) | |||||||
\(272\) | −0.559617 | + | 79.0283i | −0.00205741 | + | 0.290545i | ||||
\(273\) | −2.68047 | − | 0.448196i | −0.00981857 | − | 0.00164174i | ||||
\(274\) | −146.849 | − | 263.310i | −0.535946 | − | 0.960986i | ||||
\(275\) | 188.936 | − | 38.0140i | 0.687041 | − | 0.138233i | ||||
\(276\) | 141.492 | + | 169.796i | 0.512651 | + | 0.615201i | ||||
\(277\) | −44.3833 | − | 280.225i | −0.160229 | − | 1.01164i | −0.928450 | − | 0.371459i | \(-0.878858\pi\) |
0.768221 | − | 0.640185i | \(-0.221142\pi\) | |||||||
\(278\) | −468.212 | + | 17.5660i | −1.68422 | + | 0.0631871i | ||||
\(279\) | −10.6170 | + | 30.8602i | −0.0380537 | + | 0.110610i | ||||
\(280\) | −26.3969 | + | 1.44519i | −0.0942748 | + | 0.00516141i | ||||
\(281\) | 289.136 | + | 93.9459i | 1.02895 | + | 0.334327i | 0.774376 | − | 0.632725i | \(-0.218064\pi\) |
0.254577 | + | 0.967053i | \(0.418064\pi\) | |||||||
\(282\) | −220.211 | − | 150.465i | −0.780888 | − | 0.533564i | ||||
\(283\) | −438.632 | + | 223.494i | −1.54993 | + | 0.789731i | −0.998995 | − | 0.0448142i | \(-0.985730\pi\) |
−0.550939 | + | 0.834545i | \(0.685730\pi\) | |||||||
\(284\) | 203.930 | − | 15.3233i | 0.718062 | − | 0.0539553i | ||||
\(285\) | 369.030 | + | 307.513i | 1.29484 | + | 1.07899i | ||||
\(286\) | −2.52104 | + | 20.9818i | −0.00881481 | + | 0.0733631i | ||||
\(287\) | −10.7003 | − | 1.69476i | −0.0372832 | − | 0.00590508i | ||||
\(288\) | 48.8116 | + | 283.833i | 0.169485 | + | 0.985533i | ||||
\(289\) | 155.529 | − | 214.068i | 0.538164 | − | 0.740719i | ||||
\(290\) | −110.368 | − | 19.7856i | −0.380581 | − | 0.0682264i | ||||
\(291\) | −131.854 | − | 417.996i | −0.453106 | − | 1.43641i | ||||
\(292\) | −26.8809 | + | 326.759i | −0.0920579 | + | 1.11904i | ||||
\(293\) | −267.729 | − | 267.729i | −0.913752 | − | 0.913752i | 0.0828127 | − | 0.996565i | \(-0.473610\pi\) |
−0.996565 | + | 0.0828127i | \(0.973610\pi\) | |||||||
\(294\) | −288.989 | − | 37.2455i | −0.982955 | − | 0.126686i | ||||
\(295\) | 204.102 | + | 119.325i | 0.691872 | + | 0.404491i | ||||
\(296\) | −94.2908 | − | 341.257i | −0.318550 | − | 1.15289i | ||||
\(297\) | 27.2488 | + | 206.349i | 0.0917469 | + | 0.694777i | ||||
\(298\) | −107.667 | + | 84.5689i | −0.361297 | + | 0.283788i | ||||
\(299\) | 25.2457i | 0.0844337i | ||||||||
\(300\) | 293.640 | + | 61.4478i | 0.978798 | + | 0.204826i | ||||
\(301\) | −16.1056 | −0.0535070 | ||||||||
\(302\) | −115.218 | − | 146.687i | −0.381516 | − | 0.485717i | ||||
\(303\) | 200.564 | + | 204.042i | 0.661927 | + | 0.673405i | ||||
\(304\) | −364.868 | + | 359.737i | −1.20022 | + | 1.18335i | ||||
\(305\) | −192.347 | − | 41.9806i | −0.630646 | − | 0.137641i | ||||
\(306\) | −38.7469 | + | 80.0219i | −0.126624 | + | 0.261509i | ||||
\(307\) | 346.076 | − | 346.076i | 1.12728 | − | 1.12728i | 0.136665 | − | 0.990617i | \(-0.456362\pi\) |
0.990617 | − | 0.136665i | \(-0.0436384\pi\) | |||||||
\(308\) | 1.67089 | − | 20.3110i | 0.00542496 | − | 0.0659448i | ||||
\(309\) | −87.2492 | − | 276.593i | −0.282360 | − | 0.895122i | ||||
\(310\) | −26.1562 | + | 25.1150i | −0.0843748 | + | 0.0810160i | ||||
\(311\) | 380.359 | + | 276.347i | 1.22302 | + | 0.888576i | 0.996347 | − | 0.0853955i | \(-0.0272154\pi\) |
0.226672 | + | 0.973971i | \(0.427215\pi\) | |||||||
\(312\) | −16.4713 | + | 28.4755i | −0.0527927 | + | 0.0912675i | ||||
\(313\) | −45.6553 | + | 288.256i | −0.145864 | + | 0.920947i | 0.800849 | + | 0.598867i | \(0.204382\pi\) |
−0.946712 | + | 0.322080i | \(0.895618\pi\) | |||||||
\(314\) | 205.110 | + | 24.6447i | 0.653217 | + | 0.0784862i | ||||
\(315\) | −27.5173 | − | 11.2840i | −0.0873565 | − | 0.0358221i | ||||
\(316\) | −97.4411 | + | 7.32175i | −0.308358 | + | 0.0231701i | ||||
\(317\) | 78.5226 | + | 154.109i | 0.247705 | + | 0.486149i | 0.981062 | − | 0.193695i | \(-0.0620473\pi\) |
−0.733356 | + | 0.679844i | \(0.762047\pi\) | |||||||
\(318\) | −465.111 | − | 317.800i | −1.46261 | − | 0.999371i | ||||
\(319\) | 26.7109 | − | 82.2076i | 0.0837331 | − | 0.257704i | ||||
\(320\) | −95.8026 | + | 305.323i | −0.299383 | + | 0.954133i | ||||
\(321\) | −119.506 | − | 1.02726i | −0.372293 | − | 0.00320020i | ||||
\(322\) | −0.912749 | − | 24.3288i | −0.00283463 | − | 0.0755553i | ||||
\(323\) | −156.232 | + | 24.7448i | −0.483691 | + | 0.0766092i | ||||
\(324\) | −87.5267 | + | 311.954i | −0.270144 | + | 0.962820i | ||||
\(325\) | 21.2735 | + | 26.8636i | 0.0654570 | + | 0.0826572i | ||||
\(326\) | −96.6611 | + | 53.9083i | −0.296506 | + | 0.165363i | ||||
\(327\) | 454.607 | + | 76.0139i | 1.39024 | + | 0.232459i | ||||
\(328\) | −64.6826 | + | 114.074i | −0.197203 | + | 0.347786i | ||||
\(329\) | 9.07838 | + | 27.9404i | 0.0275939 | + | 0.0849251i | ||||
\(330\) | −77.7914 | + | 217.791i | −0.235731 | + | 0.659972i | ||||
\(331\) | −389.688 | − | 126.617i | −1.17731 | − | 0.382530i | −0.345941 | − | 0.938256i | \(-0.612440\pi\) |
−0.831365 | + | 0.555726i | \(0.812440\pi\) | |||||||
\(332\) | 373.959 | − | 88.3804i | 1.12638 | − | 0.266206i | ||||
\(333\) | 69.0612 | − | 392.266i | 0.207391 | − | 1.17798i | ||||
\(334\) | 28.4094 | − | 61.3389i | 0.0850581 | − | 0.183650i | ||||
\(335\) | −52.1107 | − | 42.6703i | −0.155554 | − | 0.127374i | ||||
\(336\) | 14.8436 | − | 28.0368i | 0.0441774 | − | 0.0834430i | ||||
\(337\) | −332.163 | − | 52.6095i | −0.985647 | − | 0.156111i | −0.357254 | − | 0.934007i | \(-0.616287\pi\) |
−0.628393 | + | 0.777896i | \(0.716287\pi\) | |||||||
\(338\) | 313.788 | − | 115.132i | 0.928366 | − | 0.340626i | ||||
\(339\) | −387.499 | + | 276.477i | −1.14307 | + | 0.815566i | ||||
\(340\) | −78.9109 | + | 59.4316i | −0.232091 | + | 0.174799i | ||||
\(341\) | −16.4308 | − | 22.6150i | −0.0481841 | − | 0.0663198i | ||||
\(342\) | −544.492 | + | 189.224i | −1.59208 | + | 0.553287i | ||||
\(343\) | 45.5947 | + | 45.5947i | 0.132929 | + | 0.132929i | ||||
\(344\) | −68.4460 | + | 182.540i | −0.198971 | + | 0.530638i | ||||
\(345\) | −61.2297 | + | 269.406i | −0.177477 | + | 0.780888i | ||||
\(346\) | 338.453 | + | 313.975i | 0.978187 | + | 0.907443i | ||||
\(347\) | 217.068 | − | 426.020i | 0.625557 | − | 1.22772i | −0.333028 | − | 0.942917i | \(-0.608070\pi\) |
0.958585 | − | 0.284807i | \(-0.0919297\pi\) | |||||||
\(348\) | 88.6207 | − | 101.247i | 0.254657 | − | 0.290940i | ||||
\(349\) | 502.182i | 1.43892i | 0.694536 | + | 0.719458i | \(0.255610\pi\) | ||||
−0.694536 | + | 0.719458i | \(0.744390\pi\) | |||||||
\(350\) | −21.4722 | − | 25.1188i | −0.0613491 | − | 0.0717681i | ||||
\(351\) | −30.4912 | + | 20.9736i | −0.0868694 | + | 0.0597540i | ||||
\(352\) | −223.102 | − | 105.256i | −0.633813 | − | 0.299022i | ||||
\(353\) | −101.405 | + | 199.019i | −0.287268 | + | 0.563794i | −0.988871 | − | 0.148773i | \(-0.952468\pi\) |
0.701604 | + | 0.712567i | \(0.252468\pi\) | |||||||
\(354\) | −248.958 | + | 136.053i | −0.703271 | + | 0.384329i | ||||
\(355\) | 170.013 | + | 190.899i | 0.478911 | + | 0.537744i | ||||
\(356\) | 497.249 | − | 421.655i | 1.39677 | − | 1.18443i | ||||
\(357\) | 8.76397 | − | 4.37099i | 0.0245489 | − | 0.0122437i | ||||
\(358\) | −162.805 | + | 242.724i | −0.454763 | + | 0.677999i | ||||
\(359\) | 339.480 | + | 467.254i | 0.945627 | + | 1.30154i | 0.953443 | + | 0.301575i | \(0.0975123\pi\) |
−0.00781521 | + | 0.999969i | \(0.502488\pi\) | |||||||
\(360\) | −244.835 | + | 263.924i | −0.680097 | + | 0.733122i | ||||
\(361\) | −537.629 | − | 390.610i | −1.48928 | − | 1.08202i | ||||
\(362\) | −32.7895 | − | 89.3667i | −0.0905788 | − | 0.246869i | ||||
\(363\) | 163.859 | + | 85.2722i | 0.451401 | + | 0.234910i | ||||
\(364\) | 3.35264 | − | 1.37482i | 0.00921054 | − | 0.00377698i | ||||
\(365\) | −344.922 | + | 221.334i | −0.944991 | + | 0.606394i | ||||
\(366\) | 162.156 | − | 171.812i | 0.443050 | − | 0.469432i | ||||
\(367\) | 151.155 | + | 296.659i | 0.411867 | + | 0.808335i | 1.00000 | 0.000429778i | \(-0.000136802\pi\) | |
−0.588133 | + | 0.808764i | \(0.700137\pi\) | |||||||
\(368\) | −279.620 | − | 93.0481i | −0.759836 | − | 0.252848i | ||||
\(369\) | −120.826 | + | 84.6503i | −0.327441 | + | 0.229405i | ||||
\(370\) | 267.343 | − | 352.679i | 0.722549 | − | 0.953186i | ||||
\(371\) | 19.1746 | + | 59.0134i | 0.0516836 | + | 0.159066i | ||||
\(372\) | −9.64390 | − | 42.4318i | −0.0259245 | − | 0.114064i | ||||
\(373\) | −319.394 | + | 50.5871i | −0.856285 | + | 0.135622i | −0.569115 | − | 0.822258i | \(-0.692714\pi\) |
−0.287169 | + | 0.957880i | \(0.592714\pi\) | |||||||
\(374\) | −37.0930 | − | 66.5103i | −0.0991792 | − | 0.177835i | ||||
\(375\) | 161.864 | + | 338.268i | 0.431638 | + | 0.902047i | ||||
\(376\) | 355.255 | + | 15.8480i | 0.944828 | + | 0.0421491i | ||||
\(377\) | 15.1798 | − | 2.40425i | 0.0402648 | − | 0.00637732i | ||||
\(378\) | 28.6255 | − | 21.3143i | 0.0757289 | − | 0.0563871i | ||||
\(379\) | −51.8594 | − | 159.607i | −0.136832 | − | 0.421126i | 0.859038 | − | 0.511911i | \(-0.171062\pi\) |
−0.995871 | + | 0.0907850i | \(0.971062\pi\) | |||||||
\(380\) | −634.227 | − | 89.3022i | −1.66902 | − | 0.235006i | ||||
\(381\) | −437.503 | + | 591.413i | −1.14830 | + | 1.55227i | ||||
\(382\) | −31.2228 | + | 109.962i | −0.0817351 | + | 0.287859i | ||||
\(383\) | −81.7196 | − | 160.384i | −0.213367 | − | 0.418756i | 0.759373 | − | 0.650656i | \(-0.225506\pi\) |
−0.972740 | + | 0.231899i | \(0.925506\pi\) | |||||||
\(384\) | −254.684 | − | 287.388i | −0.663241 | − | 0.748406i | ||||
\(385\) | 21.4399 | − | 13.7579i | 0.0556882 | − | 0.0357347i | ||||
\(386\) | −11.2915 | + | 93.9762i | −0.0292527 | + | 0.243462i | ||||
\(387\) | −157.725 | + | 152.393i | −0.407558 | + | 0.393781i | ||||
\(388\) | 443.034 | + | 381.108i | 1.14184 | + | 0.982236i | ||||
\(389\) | −17.2071 | − | 12.5017i | −0.0442341 | − | 0.0321380i | 0.565448 | − | 0.824784i | \(-0.308703\pi\) |
−0.609683 | + | 0.792646i | \(0.708703\pi\) | |||||||
\(390\) | −40.7829 | + | 5.25631i | −0.104571 | + | 0.0134777i | ||||
\(391\) | −53.4743 | − | 73.6010i | −0.136763 | − | 0.188238i | ||||
\(392\) | 353.678 | − | 160.776i | 0.902239 | − | 0.410142i | ||||
\(393\) | −238.645 | − | 478.490i | −0.607238 | − | 1.21753i | ||||
\(394\) | −66.4120 | + | 13.0880i | −0.168558 | + | 0.0332183i | ||||
\(395\) | −81.2353 | − | 91.2149i | −0.205659 | − | 0.230924i | ||||
\(396\) | −175.822 | − | 214.719i | −0.443994 | − | 0.542220i | ||||
\(397\) | 2.45629 | − | 4.82074i | 0.00618713 | − | 0.0121429i | −0.887892 | − | 0.460051i | \(-0.847831\pi\) |
0.894079 | + | 0.447908i | \(0.147831\pi\) | |||||||
\(398\) | −402.414 | + | 316.084i | −1.01109 | + | 0.794182i | ||||
\(399\) | 60.2168 | + | 20.1395i | 0.150919 | + | 0.0504749i | ||||
\(400\) | −375.948 | + | 136.613i | −0.939870 | + | 0.341533i | ||||
\(401\) | 209.472i | 0.522375i | 0.965288 | + | 0.261188i | \(0.0841141\pi\) | ||||
−0.965288 | + | 0.261188i | \(0.915886\pi\) | |||||||
\(402\) | 76.1127 | − | 27.1865i | 0.189335 | − | 0.0676281i | ||||
\(403\) | 2.25646 | − | 4.42856i | 0.00559916 | − | 0.0109890i | ||||
\(404\) | −370.622 | − | 90.3675i | −0.917381 | − | 0.223682i | ||||
\(405\) | −376.252 | + | 149.866i | −0.929016 | + | 0.370039i | ||||
\(406\) | −14.5416 | + | 2.86576i | −0.0358168 | + | 0.00705852i | ||||
\(407\) | 241.237 | + | 241.237i | 0.592720 | + | 0.592720i | ||||
\(408\) | −12.2951 | − | 117.906i | −0.0301350 | − | 0.288985i | ||||
\(409\) | 348.504 | + | 479.675i | 0.852088 | + | 1.17280i | 0.983399 | + | 0.181457i | \(0.0580814\pi\) |
−0.131311 | + | 0.991341i | \(0.541919\pi\) | |||||||
\(410\) | −162.389 | + | 22.3502i | −0.396071 | + | 0.0545127i | ||||
\(411\) | 262.663 | + | 368.139i | 0.639084 | + | 0.895714i | ||||
\(412\) | 293.161 | + | 252.183i | 0.711555 | + | 0.612095i | ||||
\(413\) | 30.8663 | + | 4.88874i | 0.0747367 | + | 0.0118371i | ||||
\(414\) | −239.141 | − | 229.620i | −0.577634 | − | 0.554637i | ||||
\(415\) | 371.632 | + | 304.307i | 0.895498 | + | 0.733270i | ||||
\(416\) | −1.33400 | − | 43.8413i | −0.00320673 | − | 0.105388i | ||||
\(417\) | 695.079 | − | 103.973i | 1.66686 | − | 0.249336i | ||||
\(418\) | 134.862 | − | 474.966i | 0.322637 | − | 1.13628i | ||||
\(419\) | 430.550 | + | 139.894i | 1.02756 | + | 0.333876i | 0.773827 | − | 0.633397i | \(-0.218340\pi\) |
0.253738 | + | 0.967273i | \(0.418340\pi\) | |||||||
\(420\) | 39.1117 | − | 6.53991i | 0.0931231 | − | 0.0155712i | ||||
\(421\) | −80.3003 | − | 247.139i | −0.190737 | − | 0.587028i | 0.809263 | − | 0.587447i | \(-0.199867\pi\) |
−1.00000 | 0.000418408i | \(0.999867\pi\) | ||||||||
\(422\) | 15.4219 | + | 411.061i | 0.0365447 | + | 0.974078i | ||||
\(423\) | 353.281 | + | 187.724i | 0.835180 | + | 0.443792i | ||||
\(424\) | 750.342 | + | 33.4730i | 1.76968 | + | 0.0789457i | ||||
\(425\) | −118.922 | − | 33.2572i | −0.279816 | − | 0.0782523i | ||||
\(426\) | −301.467 | + | 56.7234i | −0.707669 | + | 0.133154i | ||||
\(427\) | −25.7030 | + | 4.07096i | −0.0601944 | + | 0.00953385i | ||||
\(428\) | 136.160 | − | 82.7773i | 0.318131 | − | 0.193405i | ||||
\(429\) | 0.272473 | − | 31.6980i | 0.000635134 | − | 0.0738880i | ||||
\(430\) | −233.242 | + | 70.5825i | −0.542423 | + | 0.164145i | ||||
\(431\) | −31.0372 | + | 95.5226i | −0.0720120 | + | 0.221630i | −0.980584 | − | 0.196097i | \(-0.937173\pi\) |
0.908572 | + | 0.417727i | \(0.137173\pi\) | |||||||
\(432\) | −119.922 | − | 415.021i | −0.277596 | − | 0.960698i | ||||
\(433\) | −252.172 | − | 494.916i | −0.582384 | − | 1.14299i | −0.974774 | − | 0.223194i | \(-0.928352\pi\) |
0.392390 | − | 0.919799i | \(-0.371648\pi\) | |||||||
\(434\) | −2.01440 | + | 4.34931i | −0.00464148 | + | 0.0100214i | ||||
\(435\) | 167.821 | + | 11.1598i | 0.385796 | + | 0.0256548i | ||||
\(436\) | −568.606 | + | 233.169i | −1.30414 | + | 0.534792i | ||||
\(437\) | 92.2705 | − | 582.573i | 0.211145 | − | 1.33312i | ||||
\(438\) | −14.2128 | − | 491.589i | −0.0324494 | − | 1.12235i | ||||
\(439\) | 245.639 | + | 178.467i | 0.559543 | + | 0.406531i | 0.831292 | − | 0.555837i | \(-0.187602\pi\) |
−0.271749 | + | 0.962368i | \(0.587602\pi\) | |||||||
\(440\) | −64.8146 | − | 301.467i | −0.147306 | − | 0.685152i | ||||
\(441\) | 437.004 | + | 7.51345i | 0.990939 | + | 0.0170373i | ||||
\(442\) | 7.54266 | − | 11.2452i | 0.0170648 | − | 0.0254417i | ||||
\(443\) | −404.138 | + | 404.138i | −0.912275 | + | 0.912275i | −0.996451 | − | 0.0841756i | \(-0.973174\pi\) |
0.0841756 | + | 0.996451i | \(0.473174\pi\) | |||||||
\(444\) | 197.261 | + | 493.071i | 0.444281 | + | 1.11052i | ||||
\(445\) | 796.205 | + | 173.775i | 1.78923 | + | 0.390506i | ||||
\(446\) | 617.099 | + | 572.470i | 1.38363 | + | 1.28356i | ||||
\(447\) | 146.456 | − | 143.960i | 0.327643 | − | 0.322058i | ||||
\(448\) | 2.87062 | + | 42.2008i | 0.00640763 | + | 0.0941983i | ||||
\(449\) | −855.036 | −1.90431 | −0.952155 | − | 0.305614i | \(-0.901138\pi\) | ||||
−0.952155 | + | 0.305614i | \(0.901138\pi\) | |||||||
\(450\) | −447.958 | − | 42.8208i | −0.995462 | − | 0.0951574i | ||||
\(451\) | − | 126.364i | − | 0.280187i | ||||||
\(452\) | 244.961 | − | 585.517i | 0.541950 | − | 1.29539i | ||||
\(453\) | 196.133 | + | 199.534i | 0.432965 | + | 0.440473i | ||||
\(454\) | −287.712 | − | 266.904i | −0.633726 | − | 0.587894i | ||||
\(455\) | 3.91025 | + | 2.28606i | 0.00859395 | + | 0.00502431i | ||||
\(456\) | 484.170 | − | 596.903i | 1.06178 | − | 1.30900i | ||||
\(457\) | 106.799 | + | 106.799i | 0.233697 | + | 0.233697i | 0.814234 | − | 0.580537i | \(-0.197157\pi\) |
−0.580537 | + | 0.814234i | \(0.697157\pi\) | |||||||
\(458\) | 405.020 | − | 603.838i | 0.884323 | − | 1.31842i | ||||
\(459\) | 44.4683 | − | 125.731i | 0.0968808 | − | 0.273925i | ||||
\(460\) | −119.839 | − | 348.331i | −0.260519 | − | 0.757240i | ||||
\(461\) | −367.982 | + | 506.484i | −0.798226 | + | 1.09866i | 0.194809 | + | 0.980841i | \(0.437591\pi\) |
−0.993035 | + | 0.117823i | \(0.962409\pi\) | |||||||
\(462\) | 0.883453 | + | 30.5566i | 0.00191224 | + | 0.0661399i | ||||
\(463\) | 345.434 | + | 54.7114i | 0.746078 | + | 0.118167i | 0.517887 | − | 0.855449i | \(-0.326719\pi\) |
0.228191 | + | 0.973616i | \(0.426719\pi\) | |||||||
\(464\) | −29.3191 | + | 176.993i | −0.0631877 | + | 0.381450i | ||||
\(465\) | 34.8204 | − | 41.7861i | 0.0748826 | − | 0.0898626i | ||||
\(466\) | 72.1205 | − | 155.716i | 0.154765 | − | 0.334154i | ||||
\(467\) | 262.494 | − | 133.748i | 0.562086 | − | 0.286397i | −0.149772 | − | 0.988721i | \(-0.547854\pi\) |
0.711858 | + | 0.702323i | \(0.247854\pi\) | |||||||
\(468\) | 19.8242 | − | 45.1869i | 0.0423595 | − | 0.0965532i | ||||
\(469\) | −8.46701 | − | 2.75110i | −0.0180533 | − | 0.00586588i | ||||
\(470\) | 253.921 | + | 364.848i | 0.540258 | + | 0.776272i | ||||
\(471\) | −309.867 | − | 2.66358i | −0.657891 | − | 0.00565517i | ||||
\(472\) | 186.585 | − | 329.060i | 0.395307 | − | 0.697160i | ||||
\(473\) | −29.3872 | − | 185.544i | −0.0621294 | − | 0.392270i | ||||
\(474\) | 144.046 | − | 27.1034i | 0.303895 | − | 0.0571802i | ||||
\(475\) | −392.728 | − | 697.661i | −0.826795 | − | 1.46876i | ||||
\(476\) | −6.86217 | + | 11.1096i | −0.0144163 | + | 0.0233394i | ||||
\(477\) | 746.172 | + | 396.496i | 1.56430 | + | 0.831229i | ||||
\(478\) | −13.1110 | − | 349.466i | −0.0274289 | − | 0.731101i | ||||
\(479\) | −386.113 | + | 125.456i | −0.806081 | + | 0.261912i | −0.682937 | − | 0.730477i | \(-0.739298\pi\) |
−0.123144 | + | 0.992389i | \(0.539298\pi\) | |||||||
\(480\) | 92.0950 | − | 471.082i | 0.191865 | − | 0.981421i | ||||
\(481\) | −18.7449 | + | 57.6909i | −0.0389707 | + | 0.119939i | ||||
\(482\) | 150.315 | − | 529.387i | 0.311856 | − | 1.09831i | ||||
\(483\) | 5.40257 | + | 36.1171i | 0.0111854 | + | 0.0747765i | ||||
\(484\) | −245.599 | + | 18.4544i | −0.507437 | + | 0.0381289i | ||||
\(485\) | −42.2029 | + | 729.278i | −0.0870163 | + | 1.50367i | ||||
\(486\) | 78.6559 | − | 479.593i | 0.161843 | − | 0.986816i | ||||
\(487\) | 108.966 | − | 687.984i | 0.223749 | − | 1.41270i | −0.578487 | − | 0.815692i | \(-0.696357\pi\) |
0.802236 | − | 0.597006i | \(-0.203643\pi\) | |||||||
\(488\) | −63.0933 | + | 308.617i | −0.129290 | + | 0.632411i | ||||
\(489\) | 135.144 | − | 96.4237i | 0.276367 | − | 0.197185i | ||||
\(490\) | 428.136 | + | 229.212i | 0.873746 | + | 0.467780i | ||||
\(491\) | 220.753 | − | 160.387i | 0.449599 | − | 0.326653i | −0.339838 | − | 0.940484i | \(-0.610372\pi\) |
0.789437 | + | 0.613831i | \(0.210372\pi\) | |||||||
\(492\) | 77.4753 | − | 180.804i | 0.157470 | − | 0.367488i | ||||
\(493\) | −39.1626 | + | 39.1626i | −0.0794374 | + | 0.0794374i | ||||
\(494\) | 86.1326 | − | 16.9744i | 0.174357 | − | 0.0343611i | ||||
\(495\) | 79.7865 | − | 337.600i | 0.161185 | − | 0.682021i | ||||
\(496\) | 40.7338 | + | 41.3148i | 0.0821247 | + | 0.0832961i | ||||
\(497\) | 30.1070 | + | 15.3403i | 0.0605774 | + | 0.0308658i | ||||
\(498\) | −542.804 | + | 193.883i | −1.08997 | + | 0.389322i | ||||
\(499\) | −328.494 | −0.658305 | −0.329153 | − | 0.944277i | \(-0.606763\pi\) | ||||
−0.329153 | + | 0.944277i | \(0.606763\pi\) | |||||||
\(500\) | −421.044 | − | 269.671i | −0.842087 | − | 0.539341i | ||||
\(501\) | −32.1614 | + | 96.1621i | −0.0641944 | + | 0.191940i | ||||
\(502\) | −501.563 | + | 393.962i | −0.999129 | + | 0.784786i | ||||
\(503\) | −284.317 | − | 144.867i | −0.565243 | − | 0.288006i | 0.147925 | − | 0.988999i | \(-0.452740\pi\) |
−0.713168 | + | 0.700993i | \(0.752740\pi\) | |||||||
\(504\) | −17.4705 | + | 44.2626i | −0.0346638 | + | 0.0878225i | ||||
\(505\) | −191.577 | − | 436.673i | −0.379361 | − | 0.864700i | ||||
\(506\) | 278.613 | − | 54.9070i | 0.550618 | − | 0.108512i | ||||
\(507\) | −448.658 | + | 223.766i | −0.884928 | + | 0.441353i | ||||
\(508\) | 80.4193 | − | 977.562i | 0.158306 | − | 1.92433i | ||||
\(509\) | 243.478 | − | 176.897i | 0.478345 | − | 0.347538i | −0.322339 | − | 0.946624i | \(-0.604469\pi\) |
0.800685 | + | 0.599086i | \(0.204469\pi\) | |||||||
\(510\) | 107.764 | − | 101.709i | 0.211303 | − | 0.199429i | ||||
\(511\) | −31.8416 | + | 43.8262i | −0.0623123 | + | 0.0857655i | ||||
\(512\) | 490.500 | + | 146.811i | 0.958009 | + | 0.286740i | ||||
\(513\) | 780.276 | − | 372.549i | 1.52101 | − | 0.726216i | ||||
\(514\) | −48.8748 | + | 406.771i | −0.0950872 | + | 0.791383i | ||||
\(515\) | −27.9262 | + | 482.572i | −0.0542255 | + | 0.937033i | ||||
\(516\) | 71.7111 | − | 283.496i | 0.138975 | − | 0.549411i | ||||
\(517\) | −305.320 | + | 155.568i | −0.590561 | + | 0.300906i | ||||
\(518\) | 15.9783 | − | 56.2734i | 0.0308462 | − | 0.108636i | ||||
\(519\) | −556.718 | − | 411.837i | −1.07267 | − | 0.793520i | ||||
\(520\) | 42.5279 | − | 34.6031i | 0.0817844 | − | 0.0665444i | ||||
\(521\) | 347.549 | − | 112.926i | 0.667081 | − | 0.216748i | 0.0441502 | − | 0.999025i | \(-0.485942\pi\) |
0.622930 | + | 0.782277i | \(0.285942\pi\) | |||||||
\(522\) | −115.292 | + | 165.659i | −0.220867 | + | 0.317355i | ||||
\(523\) | −66.2387 | − | 418.215i | −0.126651 | − | 0.799646i | −0.966470 | − | 0.256779i | \(-0.917339\pi\) |
0.839819 | − | 0.542867i | \(-0.182661\pi\) | |||||||
\(524\) | 606.553 | + | 374.657i | 1.15754 | + | 0.714993i | ||||
\(525\) | 36.1832 | + | 33.8792i | 0.0689204 | + | 0.0645317i | ||||
\(526\) | −125.204 | − | 224.500i | −0.238031 | − | 0.426806i | ||||
\(527\) | 2.80190 | + | 17.6905i | 0.00531671 | + | 0.0335684i | ||||
\(528\) | 350.081 | + | 119.847i | 0.663032 | + | 0.226984i | ||||
\(529\) | −180.473 | + | 58.6394i | −0.341160 | + | 0.110849i | ||||
\(530\) | 536.313 | + | 770.602i | 1.01191 | + | 1.45397i | ||||
\(531\) | 348.536 | − | 244.184i | 0.656377 | − | 0.459857i | ||||
\(532\) | −82.3908 | + | 19.4720i | −0.154870 | + | 0.0366015i | ||||
\(533\) | 20.0192 | − | 10.2003i | 0.0375595 | − | 0.0191375i | ||||
\(534\) | −671.233 | + | 711.202i | −1.25699 | + | 1.33184i | ||||
\(535\) | 185.563 | + | 72.3928i | 0.346847 | + | 0.135314i | ||||
\(536\) | −67.1640 | + | 84.2727i | −0.125306 | + | 0.157225i | ||||
\(537\) | 202.380 | − | 388.893i | 0.376872 | − | 0.724195i | ||||
\(538\) | −254.645 | − | 694.027i | −0.473318 | − | 1.29001i | ||||
\(539\) | −220.048 | + | 302.871i | −0.408253 | + | 0.561912i | ||||
\(540\) | 321.146 | − | 434.126i | 0.594715 | − | 0.803937i | ||||
\(541\) | 415.781 | − | 302.083i | 0.768542 | − | 0.558378i | −0.132977 | − | 0.991119i | \(-0.542454\pi\) |
0.901518 | + | 0.432741i | \(0.142454\pi\) | |||||||
\(542\) | 224.508 | − | 334.715i | 0.414221 | − | 0.617555i | ||||
\(543\) | 63.7286 | + | 127.778i | 0.117364 | + | 0.235318i | ||||
\(544\) | 96.7518 | + | 124.989i | 0.177853 | + | 0.229759i | ||||
\(545\) | −663.177 | − | 387.715i | −1.21684 | − | 0.711404i | ||||
\(546\) | −4.76961 | + | 2.60653i | −0.00873555 | + | 0.00477387i | ||||
\(547\) | −569.828 | − | 290.342i | −1.04173 | − | 0.530789i | −0.152528 | − | 0.988299i | \(-0.548741\pi\) |
−0.889204 | + | 0.457510i | \(0.848741\pi\) | |||||||
\(548\) | −556.263 | − | 232.722i | −1.01508 | − | 0.424676i | ||||
\(549\) | −213.194 | + | 283.072i | −0.388332 | + | 0.515614i | ||||
\(550\) | 250.200 | − | 293.202i | 0.454910 | − | 0.533095i | ||||
\(551\) | −359.080 | −0.651687 | ||||||||
\(552\) | 432.308 | + | 92.2589i | 0.783166 | + | 0.167136i | ||||
\(553\) | −14.3856 | − | 7.32985i | −0.0260138 | − | 0.0132547i | ||||
\(554\) | −415.999 | − | 385.913i | −0.750900 | − | 0.696595i | ||||
\(555\) | −339.955 | + | 570.179i | −0.612532 | + | 1.02735i | ||||
\(556\) | −714.714 | + | 606.060i | −1.28546 | + | 1.09004i | ||||
\(557\) | −161.932 | + | 161.932i | −0.290722 | + | 0.290722i | −0.837365 | − | 0.546644i | \(-0.815905\pi\) |
0.546644 | + | 0.837365i | \(0.315905\pi\) | |||||||
\(558\) | 21.4263 | + | 61.6540i | 0.0383983 | + | 0.110491i | ||||
\(559\) | 27.0225 | − | 19.6330i | 0.0483408 | − | 0.0351216i | ||||
\(560\) | −39.7323 | + | 34.8840i | −0.0709506 | + | 0.0622928i | ||||
\(561\) | 66.3469 | + | 92.9892i | 0.118265 | + | 0.165756i | ||||
\(562\) | 570.821 | − | 209.440i | 1.01570 | − | 0.372668i | ||||
\(563\) | −55.3237 | + | 349.300i | −0.0982659 | + | 0.620426i | 0.888575 | + | 0.458731i | \(0.151696\pi\) |
−0.986841 | + | 0.161695i | \(0.948304\pi\) | |||||||
\(564\) | −532.237 | + | 35.3945i | −0.943683 | + | 0.0627562i | ||||
\(565\) | 767.440 | − | 201.163i | 1.35830 | − | 0.356040i | ||||
\(566\) | −413.784 | + | 893.404i | −0.731068 | + | 1.57845i | ||||
\(567\) | −39.1330 | + | 36.5305i | −0.0690177 | + | 0.0644277i | ||||
\(568\) | 301.815 | − | 276.037i | 0.531364 | − | 0.485980i | ||||
\(569\) | −101.858 | + | 313.486i | −0.179012 | + | 0.550943i | −0.999794 | − | 0.0202992i | \(-0.993538\pi\) |
0.820782 | + | 0.571242i | \(0.193538\pi\) | |||||||
\(570\) | 960.323 | + | 27.7620i | 1.68478 | + | 0.0487053i | ||||
\(571\) | 50.7224 | − | 16.4807i | 0.0888308 | − | 0.0288629i | −0.264264 | − | 0.964450i | \(-0.585129\pi\) |
0.353095 | + | 0.935587i | \(0.385129\pi\) | |||||||
\(572\) | 21.9559 | + | 36.1152i | 0.0383845 | + | 0.0631385i | ||||
\(573\) | 28.2775 | − | 169.116i | 0.0493499 | − | 0.295141i | ||||
\(574\) | −18.9234 | + | 10.5536i | −0.0329676 | + | 0.0183861i | ||||
\(575\) | 254.976 | − | 383.421i | 0.443436 | − | 0.666819i | ||||
\(576\) | 427.421 | + | 386.118i | 0.742051 | + | 0.670343i | ||||
\(577\) | 40.4371 | + | 255.310i | 0.0700816 | + | 0.442478i | 0.997632 | + | 0.0687795i | \(0.0219105\pi\) |
−0.927550 | + | 0.373698i | \(0.878090\pi\) | |||||||
\(578\) | −19.8403 | − | 528.833i | −0.0343258 | − | 0.914936i | ||||
\(579\) | 1.22039 | − | 141.973i | 0.00210775 | − | 0.245204i | ||||
\(580\) | −198.033 | + | 105.230i | −0.341437 | + | 0.181432i | ||||
\(581\) | 60.3831 | + | 19.6197i | 0.103930 | + | 0.0337688i | ||||
\(582\) | −723.777 | − | 494.541i | −1.24360 | − | 0.849727i | ||||
\(583\) | −644.873 | + | 328.579i | −1.10613 | + | 0.563601i | ||||
\(584\) | 361.401 | + | 547.143i | 0.618838 | + | 0.936889i | ||||
\(585\) | 59.9247 | − | 14.6114i | 0.102435 | − | 0.0249768i | ||||
\(586\) | −751.846 | − | 90.3367i | −1.28301 | − | 0.154158i | ||||
\(587\) | −826.634 | − | 130.926i | −1.40823 | − | 0.223042i | −0.594414 | − | 0.804159i | \(-0.702616\pi\) |
−0.813820 | + | 0.581117i | \(0.802616\pi\) | |||||||
\(588\) | −500.542 | + | 298.438i | −0.851262 | + | 0.507547i | ||||
\(589\) | −68.2565 | + | 93.9469i | −0.115885 | + | 0.159502i | ||||
\(590\) | 468.431 | − | 64.4719i | 0.793951 | − | 0.109274i | ||||
\(591\) | 96.8308 | − | 30.5446i | 0.163842 | − | 0.0516829i | ||||
\(592\) | −569.893 | − | 420.249i | −0.962658 | − | 0.709881i | ||||
\(593\) | −169.038 | − | 169.038i | −0.285056 | − | 0.285056i | 0.550066 | − | 0.835121i | \(-0.314603\pi\) |
−0.835121 | + | 0.550066i | \(0.814603\pi\) | |||||||
\(594\) | 297.782 | + | 290.887i | 0.501317 | + | 0.489709i | ||||
\(595\) | −16.2421 | + | 1.61775i | −0.0272977 | + | 0.00271891i | ||||
\(596\) | −64.8637 | + | 266.024i | −0.108832 | + | 0.446349i | ||||
\(597\) | 547.395 | − | 538.065i | 0.916910 | − | 0.901281i | ||||
\(598\) | 31.1886 | + | 39.7070i | 0.0521549 | + | 0.0663996i | ||||
\(599\) | − | 955.085i | − | 1.59447i | −0.603672 | − | 0.797233i | \(-0.706296\pi\) | ||
0.603672 | − | 0.797233i | \(-0.293704\pi\) | |||||||
\(600\) | 537.756 | − | 266.117i | 0.896260 | − | 0.443529i | ||||
\(601\) | 275.328 | 0.458117 | 0.229059 | − | 0.973413i | \(-0.426435\pi\) | ||||
0.229059 | + | 0.973413i | \(0.426435\pi\) | |||||||
\(602\) | −25.3313 | + | 19.8970i | −0.0420785 | + | 0.0330514i | ||||
\(603\) | −108.950 | + | 53.1738i | −0.180680 | + | 0.0881821i | ||||
\(604\) | −362.435 | − | 88.3712i | −0.600057 | − | 0.146310i | ||||
\(605\) | −204.753 | − | 229.906i | −0.338434 | − | 0.380010i | ||||
\(606\) | 567.526 | + | 73.1440i | 0.936511 | + | 0.120700i | ||||
\(607\) | 132.368 | − | 132.368i | 0.218069 | − | 0.218069i | −0.589616 | − | 0.807684i | \(-0.700721\pi\) |
0.807684 | + | 0.589616i | \(0.200721\pi\) | |||||||
\(608\) | −129.452 | + | 1016.56i | −0.212915 | + | 1.67198i | ||||
\(609\) | 21.2021 | − | 6.68806i | 0.0348147 | − | 0.0109820i | ||||
\(610\) | −354.391 | + | 171.599i | −0.580969 | + | 0.281309i | ||||
\(611\) | −49.2917 | − | 35.8125i | −0.0806738 | − | 0.0586130i | ||||
\(612\) | 37.9175 | + | 173.728i | 0.0619567 | + | 0.283870i | ||||
\(613\) | −119.719 | + | 755.877i | −0.195300 | + | 1.23308i | 0.673976 | + | 0.738753i | \(0.264585\pi\) |
−0.869277 | + | 0.494326i | \(0.835415\pi\) | |||||||
\(614\) | 116.772 | − | 971.860i | 0.190183 | − | 1.58283i | ||||
\(615\) | 238.372 | − | 60.2976i | 0.387597 | − | 0.0980448i | ||||
\(616\) | −22.4643 | − | 34.0098i | −0.0364680 | − | 0.0552107i | ||||
\(617\) | −232.335 | − | 455.983i | −0.376556 | − | 0.739032i | 0.622494 | − | 0.782625i | \(-0.286120\pi\) |
−0.999049 | + | 0.0435927i | \(0.986120\pi\) | |||||||
\(618\) | −478.932 | − | 327.243i | −0.774971 | − | 0.529520i | ||||
\(619\) | −105.257 | + | 323.946i | −0.170043 | + | 0.523338i | −0.999372 | − | 0.0354217i | \(-0.988723\pi\) |
0.829330 | + | 0.558760i | \(0.188723\pi\) | |||||||
\(620\) | −10.1119 | + | 71.8149i | −0.0163095 | + | 0.115830i | ||||
\(621\) | 394.652 | + | 302.581i | 0.635510 | + | 0.487248i | ||||
\(622\) | 939.638 | − | 35.2526i | 1.51067 | − | 0.0566762i | ||||
\(623\) | 106.396 | − | 16.8514i | 0.170779 | − | 0.0270488i | ||||
\(624\) | 9.27225 | + | 65.1357i | 0.0148594 | + | 0.104384i | ||||
\(625\) | −51.7778 | − | 622.852i | −0.0828445 | − | 0.996562i | ||||
\(626\) | 284.306 | + | 509.779i | 0.454163 | + | 0.814344i | ||||
\(627\) | −122.141 | + | 730.471i | −0.194802 | + | 1.16503i | ||||
\(628\) | 353.048 | − | 214.633i | 0.562179 | − | 0.341772i | ||||
\(629\) | −67.5496 | − | 207.896i | −0.107392 | − | 0.330519i | ||||
\(630\) | −57.2201 | + | 16.2473i | −0.0908255 | + | 0.0257894i | ||||
\(631\) | 1085.36 | + | 352.656i | 1.72007 | + | 0.558884i | 0.991957 | − | 0.126575i | \(-0.0403986\pi\) |
0.728111 | + | 0.685459i | \(0.240399\pi\) | |||||||
\(632\) | −144.212 | + | 131.895i | −0.228184 | + | 0.208695i | ||||
\(633\) | −91.2820 | − | 610.236i | −0.144205 | − | 0.964037i | ||||
\(634\) | 313.890 | + | 145.379i | 0.495094 | + | 0.229305i | ||||
\(635\) | 1031.90 | − | 662.162i | 1.62504 | − | 1.04278i | ||||
\(636\) | −1124.15 | + | 74.7575i | −1.76753 | + | 0.117543i | ||||
\(637\) | −65.7448 | − | 10.4129i | −0.103210 | − | 0.0163469i | ||||
\(638\) | −59.5482 | − | 162.297i | −0.0933358 | − | 0.254384i | ||||
\(639\) | 439.994 | − | 134.646i | 0.688567 | − | 0.210713i | ||||
\(640\) | 226.517 | + | 598.573i | 0.353932 | + | 0.935271i | ||||
\(641\) | 276.638 | + | 380.760i | 0.431573 | + | 0.594009i | 0.968313 | − | 0.249738i | \(-0.0803446\pi\) |
−0.536741 | + | 0.843747i | \(0.680345\pi\) | |||||||
\(642\) | −189.231 | + | 146.023i | −0.294753 | + | 0.227450i | ||||
\(643\) | −295.460 | − | 295.460i | −0.459502 | − | 0.459502i | 0.438990 | − | 0.898492i | \(-0.355336\pi\) |
−0.898492 | + | 0.438990i | \(0.855336\pi\) | |||||||
\(644\) | −31.4915 | − | 37.1373i | −0.0488999 | − | 0.0576666i | ||||
\(645\) | 335.984 | − | 143.972i | 0.520906 | − | 0.223212i | ||||
\(646\) | −215.156 | + | 231.929i | −0.333059 | + | 0.359024i | ||||
\(647\) | 443.470 | − | 870.359i | 0.685425 | − | 1.34522i | −0.241656 | − | 0.970362i | \(-0.577691\pi\) |
0.927081 | − | 0.374860i | \(-0.122309\pi\) | |||||||
\(648\) | 247.725 | + | 598.779i | 0.382292 | + | 0.924042i | ||||
\(649\) | 364.513i | 0.561653i | ||||||||
\(650\) | 66.6469 | + | 15.9702i | 0.102534 | + | 0.0245696i | ||||
\(651\) | 2.28044 | − | 6.81848i | 0.00350298 | − | 0.0104739i | ||||
\(652\) | −85.4323 | + | 204.204i | −0.131031 | + | 0.313196i | ||||
\(653\) | −131.146 | + | 257.389i | −0.200837 | + | 0.394164i | −0.969355 | − | 0.245663i | \(-0.920994\pi\) |
0.768519 | + | 0.639827i | \(0.220994\pi\) | |||||||
\(654\) | 808.925 | − | 442.068i | 1.23689 | − | 0.675944i | ||||
\(655\) | 88.3251 | + | 886.779i | 0.134847 | + | 1.35386i | ||||
\(656\) | 39.1931 | + | 259.327i | 0.0597455 | + | 0.395316i | ||||
\(657\) | 102.858 | + | 730.486i | 0.156557 | + | 1.11185i | ||||
\(658\) | 48.7964 | + | 32.7298i | 0.0741586 | + | 0.0497413i | ||||
\(659\) | 95.2237 | + | 131.064i | 0.144497 | + | 0.198883i | 0.875131 | − | 0.483886i | \(-0.160775\pi\) |
−0.730634 | + | 0.682770i | \(0.760775\pi\) | |||||||
\(660\) | 146.708 | + | 438.651i | 0.222285 | + | 0.664622i | ||||
\(661\) | −433.889 | − | 315.239i | −0.656412 | − | 0.476912i | 0.209037 | − | 0.977908i | \(-0.432967\pi\) |
−0.865449 | + | 0.500996i | \(0.832967\pi\) | |||||||
\(662\) | −769.335 | + | 282.276i | −1.16214 | + | 0.426399i | ||||
\(663\) | −9.37616 | + | 18.0172i | −0.0141420 | + | 0.0271753i | ||||
\(664\) | 478.985 | − | 600.997i | 0.721363 | − | 0.905117i | ||||
\(665\) | −81.8781 | − | 67.0451i | −0.123125 | − | 0.100820i | ||||
\(666\) | −375.987 | − | 702.284i | −0.564545 | − | 1.05448i | ||||
\(667\) | −93.7590 | − | 184.012i | −0.140568 | − | 0.275881i | ||||
\(668\) | −31.0955 | − | 131.572i | −0.0465501 | − | 0.196965i | ||||
\(669\) | −1015.06 | − | 750.900i | −1.51728 | − | 1.12242i | ||||
\(670\) | −134.676 | − | 2.73502i | −0.201009 | − | 0.00408211i | ||||
\(671\) | −93.7983 | − | 288.682i | −0.139789 | − | 0.430226i | ||||
\(672\) | −11.2905 | − | 62.4349i | −0.0168013 | − | 0.0929090i | ||||
\(673\) | −937.471 | + | 148.481i | −1.39297 | + | 0.220625i | −0.807405 | − | 0.589998i | \(-0.799128\pi\) |
−0.585568 | + | 0.810623i | \(0.699128\pi\) | |||||||
\(674\) | −587.428 | + | 327.611i | −0.871555 | + | 0.486069i | ||||
\(675\) | 674.917 | − | 10.5854i | 0.999877 | − | 0.0156820i | ||||
\(676\) | 351.298 | − | 568.737i | 0.519672 | − | 0.841327i | ||||
\(677\) | 498.885 | − | 79.0156i | 0.736905 | − | 0.116714i | 0.223311 | − | 0.974747i | \(-0.428314\pi\) |
0.513595 | + | 0.858033i | \(0.328314\pi\) | |||||||
\(678\) | −267.906 | + | 913.568i | −0.395142 | + | 1.34745i | ||||
\(679\) | 29.8384 | + | 91.8331i | 0.0439446 | + | 0.135248i | ||||
\(680\) | −50.6908 | + | 190.962i | −0.0745452 | + | 0.280827i | ||||
\(681\) | 473.254 | + | 350.094i | 0.694940 | + | 0.514088i | ||||
\(682\) | −53.7815 | − | 15.2708i | −0.0788585 | − | 0.0223912i | ||||
\(683\) | −147.139 | − | 288.777i | −0.215431 | − | 0.422807i | 0.757849 | − | 0.652430i | \(-0.226250\pi\) |
−0.973279 | + | 0.229624i | \(0.926250\pi\) | |||||||
\(684\) | −622.621 | + | 970.284i | −0.910264 | + | 1.41854i | ||||
\(685\) | −191.112 | − | 729.097i | −0.278996 | − | 1.06437i | ||||
\(686\) | 128.040 | + | 15.3845i | 0.186648 | + | 0.0224263i | ||||
\(687\) | −503.473 | + | 967.473i | −0.732858 | + | 1.40826i | ||||
\(688\) | 117.857 | + | 371.661i | 0.171304 | + | 0.540205i | ||||
\(689\) | −104.110 | − | 75.6404i | −0.151103 | − | 0.109783i | ||||
\(690\) | 236.522 | + | 499.372i | 0.342786 | + | 0.723727i | ||||
\(691\) | −262.487 | − | 361.283i | −0.379866 | − | 0.522840i | 0.575683 | − | 0.817673i | \(-0.304736\pi\) |
−0.955549 | + | 0.294833i | \(0.904736\pi\) | |||||||
\(692\) | 920.213 | + | 75.7015i | 1.32979 | + | 0.109395i | ||||
\(693\) | −6.39355 | − | 45.4062i | −0.00922590 | − | 0.0655212i | ||||
\(694\) | −184.898 | − | 938.222i | −0.266424 | − | 1.35190i | ||||
\(695\) | −1144.41 | − | 249.773i | −1.64664 | − | 0.359386i | ||||
\(696\) | 14.3034 | − | 268.726i | 0.0205509 | − | 0.386101i | ||||
\(697\) | −36.7580 | + | 72.1417i | −0.0527375 | + | 0.103503i | ||||
\(698\) | 620.398 | + | 789.844i | 0.888823 | + | 1.13158i | ||||
\(699\) | −81.6454 | + | 244.119i | −0.116803 | + | 0.349240i | ||||
\(700\) | −64.8039 | − | 12.9806i | −0.0925770 | − | 0.0185438i | ||||
\(701\) | − | 792.384i | − | 1.13036i | −0.824967 | − | 0.565181i | \(-0.808806\pi\) | ||
0.824967 | − | 0.565181i | \(-0.191194\pi\) | |||||||
\(702\) | −22.0463 | + | 70.6568i | −0.0314049 | + | 0.100651i | ||||
\(703\) | 643.415 | − | 1262.77i | 0.915242 | − | 1.79626i | ||||
\(704\) | −480.934 | + | 110.073i | −0.683145 | + | 0.156353i | ||||
\(705\) | −439.153 | − | 501.719i | −0.622912 | − | 0.711658i | ||||
\(706\) | 86.3768 | + | 438.299i | 0.122347 | + | 0.620820i | ||||
\(707\) | −44.5697 | − | 44.5697i | −0.0630406 | − | 0.0630406i | ||||
\(708\) | −223.487 | + | 521.551i | −0.315660 | + | 0.736654i | ||||
\(709\) | −150.766 | − | 207.511i | −0.212646 | − | 0.292682i | 0.689348 | − | 0.724430i | \(-0.257897\pi\) |
−0.901994 | + | 0.431748i | \(0.857897\pi\) | |||||||
\(710\) | 503.239 | + | 90.2152i | 0.708787 | + | 0.127064i | ||||
\(711\) | −210.237 | + | 64.3361i | −0.295692 | + | 0.0904868i | ||||
\(712\) | 261.170 | − | 1277.49i | 0.366812 | − | 1.79423i | ||||
\(713\) | −65.9660 | − | 10.4480i | −0.0925190 | − | 0.0146536i | ||||
\(714\) | 8.38424 | − | 17.7018i | 0.0117426 | − | 0.0247925i | ||||
\(715\) | −19.2015 | + | 49.2190i | −0.0268553 | + | 0.0688378i | ||||
\(716\) | 43.7986 | + | 582.892i | 0.0611712 | + | 0.814094i | ||||
\(717\) | 77.6040 | + | 518.796i | 0.108234 | + | 0.723565i | ||||
\(718\) | 1111.19 | + | 315.513i | 1.54762 | + | 0.439433i | ||||
\(719\) | 196.680 | + | 63.9051i | 0.273546 | + | 0.0888806i | 0.442578 | − | 0.896730i | \(-0.354064\pi\) |
−0.169032 | + | 0.985611i | \(0.554064\pi\) | |||||||
\(720\) | −59.0294 | + | 717.576i | −0.0819853 | + | 0.996634i | ||||
\(721\) | 19.7444 | + | 60.7670i | 0.0273847 | + | 0.0842816i | ||||
\(722\) | −1328.16 | + | 49.8287i | −1.83955 | + | 0.0690149i | ||||
\(723\) | −136.135 | + | 814.167i | −0.188292 | + | 1.12610i | ||||
\(724\) | −161.976 | − | 100.050i | −0.223724 | − | 0.138190i | ||||
\(725\) | −254.828 | − | 116.798i | −0.351487 | − | 0.161101i | ||||
\(726\) | 363.066 | − | 68.3139i | 0.500092 | − | 0.0940963i | ||||
\(727\) | −1300.15 | + | 205.924i | −1.78838 | + | 0.283252i | −0.960628 | − | 0.277837i | \(-0.910382\pi\) |
−0.827755 | + | 0.561089i | \(0.810382\pi\) | |||||||
\(728\) | 3.57464 | − | 6.30422i | 0.00491022 | − | 0.00865964i | ||||
\(729\) | −37.5809 | + | 728.031i | −0.0515513 | + | 0.998670i | ||||
\(730\) | −269.064 | + | 774.237i | −0.368580 | + | 1.06060i | ||||
\(731\) | −37.1954 | + | 114.476i | −0.0508829 | + | 0.156602i | ||||
\(732\) | 42.7857 | − | 470.559i | 0.0584505 | − | 0.642840i | ||||
\(733\) | 329.551 | + | 646.780i | 0.449592 | + | 0.882373i | 0.998906 | + | 0.0467577i | \(0.0148889\pi\) |
−0.549315 | + | 0.835616i | \(0.685111\pi\) | |||||||
\(734\) | 604.234 | + | 279.854i | 0.823207 | + | 0.381272i | ||||
\(735\) | −676.332 | − | 270.575i | −0.920180 | − | 0.368129i | ||||
\(736\) | −554.745 | + | 199.096i | −0.753729 | + | 0.270510i | ||||
\(737\) | 16.2444 | − | 102.563i | 0.0220413 | − | 0.139163i | ||||
\(738\) | −85.4601 | + | 282.409i | −0.115800 | + | 0.382668i | ||||
\(739\) | 671.539 | + | 487.902i | 0.908714 | + | 0.660219i | 0.940689 | − | 0.339270i | \(-0.110180\pi\) |
−0.0319757 | + | 0.999489i | \(0.510180\pi\) | |||||||
\(740\) | −15.2181 | − | 884.979i | −0.0205650 | − | 1.19592i | ||||
\(741\) | −125.584 | + | 39.6146i | −0.169479 | + | 0.0534609i | ||||
\(742\) | 103.064 | + | 69.1293i | 0.138900 | + | 0.0931661i | ||||
\(743\) | 316.139 | − | 316.139i | 0.425490 | − | 0.425490i | −0.461599 | − | 0.887089i | \(-0.652724\pi\) |
0.887089 | + | 0.461599i | \(0.152724\pi\) | |||||||
\(744\) | −67.5887 | − | 54.8237i | −0.0908450 | − | 0.0736877i | ||||
\(745\) | −313.434 | + | 137.510i | −0.420717 | + | 0.184577i | ||||
\(746\) | −439.855 | + | 474.146i | −0.589618 | + | 0.635584i | ||||
\(747\) | 776.986 | − | 379.213i | 1.04014 | − | 0.507648i | ||||
\(748\) | −140.508 | − | 58.7840i | −0.187845 | − | 0.0785882i | ||||
\(749\) | 26.3287 | 0.0351517 | ||||||||
\(750\) | 672.482 | + | 332.067i | 0.896642 | + | 0.442756i | ||||
\(751\) | 520.103i | 0.692547i | 0.938134 | + | 0.346273i | \(0.112553\pi\) | ||||
−0.938134 | + | 0.346273i | \(0.887447\pi\) | |||||||
\(752\) | 578.333 | − | 413.958i | 0.769059 | − | 0.550476i | ||||
\(753\) | 682.264 | − | 670.635i | 0.906062 | − | 0.890618i | ||||
\(754\) | 20.9050 | − | 22.5347i | 0.0277254 | − | 0.0298869i | ||||
\(755\) | −187.345 | − | 427.027i | −0.248140 | − | 0.565599i | ||||
\(756\) | 18.6910 | − | 68.8878i | 0.0247236 | − | 0.0911214i | ||||
\(757\) | −594.062 | − | 594.062i | −0.784758 | − | 0.784758i | 0.195872 | − | 0.980630i | \(-0.437246\pi\) |
−0.980630 | + | 0.195872i | \(0.937246\pi\) | |||||||
\(758\) | −278.745 | − | 186.966i | −0.367737 | − | 0.246657i | ||||
\(759\) | −406.226 | + | 128.141i | −0.535212 | + | 0.168829i | ||||
\(760\) | −1107.85 | + | 643.070i | −1.45770 | + | 0.846145i | ||||
\(761\) | −260.709 | + | 358.835i | −0.342587 | + | 0.471531i | −0.945195 | − | 0.326507i | \(-0.894128\pi\) |
0.602608 | + | 0.798038i | \(0.294128\pi\) | |||||||
\(762\) | 42.5203 | + | 1470.68i | 0.0558010 | + | 1.93003i | ||||
\(763\) | −100.292 | − | 15.8847i | −0.131444 | − | 0.0208187i | ||||
\(764\) | 86.7400 | + | 211.524i | 0.113534 | + | 0.276864i | ||||
\(765\) | −143.755 | + | 169.528i | −0.187915 | + | 0.221605i | ||||
\(766\) | −326.669 | − | 151.298i | −0.426461 | − | 0.197518i | ||||
\(767\) | −57.7478 | + | 29.4240i | −0.0752905 | + | 0.0383624i | ||||
\(768\) | −755.614 | − | 137.372i | −0.983873 | − | 0.178870i | ||||
\(769\) | −191.266 | − | 62.1462i | −0.248721 | − | 0.0808143i | 0.182003 | − | 0.983298i | \(-0.441742\pi\) |
−0.430724 | + | 0.902484i | \(0.641742\pi\) | |||||||
\(770\) | 16.7247 | − | 48.1257i | 0.0217204 | − | 0.0625009i | ||||
\(771\) | 5.28237 | − | 614.522i | 0.00685133 | − | 0.797045i | ||||
\(772\) | 98.3391 | + | 161.758i | 0.127382 | + | 0.209531i | ||||
\(773\) | 64.4270 | + | 406.776i | 0.0833468 | + | 0.526231i | 0.993671 | + | 0.112334i | \(0.0358326\pi\) |
−0.910324 | + | 0.413897i | \(0.864167\pi\) | |||||||
\(774\) | −59.8062 | + | 434.542i | −0.0772691 | + | 0.561423i | ||||
\(775\) | −78.9977 | + | 44.4694i | −0.101933 | + | 0.0573799i | ||||
\(776\) | 1167.64 | + | 52.0886i | 1.50469 | + | 0.0671245i | ||||
\(777\) | −14.4711 | + | 86.5454i | −0.0186243 | + | 0.111384i | ||||
\(778\) | −42.5083 | + | 1.59479i | −0.0546379 | + | 0.00204986i | ||||
\(779\) | −499.247 | + | 162.215i | −0.640883 | + | 0.208235i | ||||
\(780\) | −57.6506 | + | 58.6506i | −0.0739110 | + | 0.0751931i | ||||
\(781\) | −121.792 | + | 374.836i | −0.155943 | + | 0.479944i | ||||
\(782\) | −175.033 | − | 49.6990i | −0.223827 | − | 0.0635537i | ||||
\(783\) | 144.353 | − | 266.114i | 0.184359 | − | 0.339865i | ||||
\(784\) | 357.649 | − | 689.807i | 0.456185 | − | 0.879856i | ||||
\(785\) | 481.145 | + | 187.707i | 0.612924 | + | 0.239117i | ||||
\(786\) | −966.475 | − | 457.758i | −1.22961 | − | 0.582389i | ||||
\(787\) | −36.3625 | + | 229.584i | −0.0462040 | + | 0.291720i | −0.999961 | − | 0.00885901i | \(-0.997180\pi\) |
0.953757 | + | 0.300579i | \(0.0971801\pi\) | |||||||
\(788\) | −88.2854 | + | 102.631i | −0.112037 | + | 0.130242i | ||||
\(789\) | 223.948 | + | 313.877i | 0.283838 | + | 0.397816i | ||||
\(790\) | −240.456 | − | 43.1064i | −0.304375 | − | 0.0545651i | ||||
\(791\) | 84.8409 | − | 61.6405i | 0.107258 | − | 0.0779273i | ||||
\(792\) | −541.801 | − | 120.504i | −0.684093 | − | 0.152152i | ||||
\(793\) | 38.1627 | − | 38.1627i | 0.0481245 | − | 0.0481245i | ||||
\(794\) | −2.09226 | − | 10.6167i | −0.00263509 | − | 0.0133711i | ||||
\(795\) | −927.544 | − | 1059.69i | −1.16672 | − | 1.33295i | ||||
\(796\) | −242.434 | + | 994.290i | −0.304566 | + | 1.24911i | ||||
\(797\) | 241.444 | + | 123.022i | 0.302941 | + | 0.154356i | 0.598853 | − | 0.800859i | \(-0.295624\pi\) |
−0.295912 | + | 0.955215i | \(0.595624\pi\) | |||||||
\(798\) | 119.591 | − | 42.7163i | 0.149863 | − | 0.0535292i | ||||
\(799\) | 219.561 | 0.274795 | ||||||||
\(800\) | −422.527 | + | 679.317i | −0.528158 | + | 0.849146i | ||||
\(801\) | 882.500 | − | 1171.76i | 1.10175 | − | 1.46287i | ||||
\(802\) | 258.783 | + | 329.463i | 0.322673 | + | 0.410802i | ||||
\(803\) | −562.996 | − | 286.861i | −0.701116 | − | 0.357237i | ||||
\(804\) | 86.1255 | − | 136.790i | 0.107121 | − | 0.170136i | ||||
\(805\) | 12.9785 | − | 59.4650i | 0.0161223 | − | 0.0738696i | ||||
\(806\) | −1.92205 | − | 9.75299i | −0.00238467 | − | 0.0121005i | ||||
\(807\) | 494.920 | + | 992.330i | 0.613284 | + | 1.22965i | ||||
\(808\) | −694.563 | + | 315.736i | −0.859608 | + | 0.390763i | ||||
\(809\) | −145.996 | + | 106.072i | −0.180465 | + | 0.131115i | −0.674350 | − | 0.738412i | \(-0.735576\pi\) |
0.493886 | + | 0.869527i | \(0.335576\pi\) | |||||||
\(810\) | −406.632 | + | 700.536i | −0.502015 | + | 0.864859i | ||||
\(811\) | −96.4095 | + | 132.696i | −0.118877 | + | 0.163620i | −0.864309 | − | 0.502962i | \(-0.832244\pi\) |
0.745431 | + | 0.666582i | \(0.232244\pi\) | |||||||
\(812\) | −19.3310 | + | 22.4721i | −0.0238067 | + | 0.0276750i | ||||
\(813\) | −279.082 | + | 536.282i | −0.343274 | + | 0.659634i | ||||
\(814\) | 677.449 | + | 81.3977i | 0.832247 | + | 0.0999972i | ||||
\(815\) | −267.651 | + | 70.1572i | −0.328406 | + | 0.0860824i | ||||
\(816\) | −165.000 | − | 170.256i | −0.202206 | − | 0.208647i | ||||
\(817\) | −695.332 | + | 354.289i | −0.851079 | + | 0.433646i | ||||
\(818\) | 1140.73 | + | 323.900i | 1.39453 | + | 0.395965i | ||||
\(819\) | 6.67736 | − | 4.67814i | 0.00815306 | − | 0.00571202i | ||||
\(820\) | −227.798 | + | 235.769i | −0.277802 | + | 0.287524i | ||||
\(821\) | 618.441 | − | 200.944i | 0.753277 | − | 0.244755i | 0.0928864 | − | 0.995677i | \(-0.470391\pi\) |
0.660391 | + | 0.750922i | \(0.270391\pi\) | |||||||
\(822\) | 867.924 | + | 254.521i | 1.05587 | + | 0.309636i | ||||
\(823\) | −233.576 | − | 1474.74i | −0.283810 | − | 1.79191i | −0.557593 | − | 0.830114i | \(-0.688275\pi\) |
0.273783 | − | 0.961791i | \(-0.411725\pi\) | |||||||
\(824\) | 772.638 | + | 34.4676i | 0.937668 | + | 0.0418296i | ||||
\(825\) | −324.281 | + | 478.664i | −0.393067 | + | 0.580199i | ||||
\(826\) | 54.5868 | − | 30.4432i | 0.0660857 | − | 0.0368562i | ||||
\(827\) | 173.392 | + | 1094.75i | 0.209664 | + | 1.32377i | 0.837934 | + | 0.545771i | \(0.183763\pi\) |
−0.628270 | + | 0.777995i | \(0.716237\pi\) | |||||||
\(828\) | −659.799 | − | 65.7155i | −0.796859 | − | 0.0793665i | ||||
\(829\) | 84.9585 | − | 27.6047i | 0.102483 | − | 0.0332988i | −0.257327 | − | 0.966325i | \(-0.582842\pi\) |
0.359810 | + | 0.933026i | \(0.382842\pi\) | |||||||
\(830\) | 960.453 | + | 19.5050i | 1.15717 | + | 0.0235000i | ||||
\(831\) | 684.273 | + | 506.197i | 0.823433 | + | 0.609142i | ||||
\(832\) | −56.2599 | − | 67.3065i | −0.0676200 | − | 0.0808973i | ||||
\(833\) | 213.728 | − | 108.900i | 0.256576 | − | 0.130732i | ||||
\(834\) | 964.787 | − | 1022.24i | 1.15682 | − | 1.22570i | ||||
\(835\) | 107.066 | − | 130.754i | 0.128223 | − | 0.156591i | ||||
\(836\) | −374.661 | − | 913.648i | −0.448159 | − | 1.09288i | ||||
\(837\) | −42.1845 | − | 88.3524i | −0.0503997 | − | 0.105558i | ||||
\(838\) | 850.004 | − | 311.875i | 1.01432 | − | 0.372166i | ||||
\(839\) | 309.701 | − | 426.267i | 0.369131 | − | 0.508065i | −0.583533 | − | 0.812089i | \(-0.698330\pi\) |
0.952664 | + | 0.304024i | \(0.0983303\pi\) | |||||||
\(840\) | 53.4364 | − | 58.6049i | 0.0636147 | − | 0.0697678i | ||||
\(841\) | 578.668 | − | 420.427i | 0.688072 | − | 0.499913i | ||||
\(842\) | −431.615 | − | 289.502i | −0.512607 | − | 0.343827i | ||||
\(843\) | −816.168 | + | 407.060i | −0.968171 | + | 0.482871i | ||||
\(844\) | 532.083 | + | 627.474i | 0.630430 | + | 0.743452i | ||||
\(845\) | 831.492 | − | 82.8184i | 0.984014 | − | 0.0980099i | ||||
\(846\) | 787.564 | − | 141.188i | 0.930927 | − | 0.166889i | ||||
\(847\) | −36.2589 | − | 18.4748i | −0.0428086 | − | 0.0218121i | ||||
\(848\) | 1221.51 | − | 874.330i | 1.44046 | − | 1.03105i | ||||
\(849\) | 468.432 | − | 1400.61i | 0.551746 | − | 1.64971i | ||||
\(850\) | −228.129 | + | 94.6092i | −0.268388 | + | 0.111305i | ||||
\(851\) | 815.117 | 0.957834 | ||||||||
\(852\) | −404.078 | + | 461.650i | −0.474269 | + | 0.541842i | ||||
\(853\) | 1105.25 | + | 563.151i | 1.29572 | + | 0.660201i | 0.959533 | − | 0.281596i | \(-0.0908637\pi\) |
0.336184 | + | 0.941796i | \(0.390864\pi\) | |||||||
\(854\) | −35.3970 | + | 38.1565i | −0.0414485 | + | 0.0446798i | ||||
\(855\) | −1436.23 | + | 118.156i | −1.67981 | + | 0.138195i | ||||
\(856\) | 111.892 | − | 298.407i | 0.130715 | − | 0.348606i | ||||
\(857\) | −483.481 | + | 483.481i | −0.564155 | + | 0.564155i | −0.930485 | − | 0.366330i | \(-0.880614\pi\) |
0.366330 | + | 0.930485i | \(0.380614\pi\) | |||||||
\(858\) | −38.7313 | − | 50.1919i | −0.0451414 | − | 0.0584987i | ||||
\(859\) | 148.835 | − | 108.135i | 0.173265 | − | 0.125884i | −0.497773 | − | 0.867307i | \(-0.665849\pi\) |
0.671038 | + | 0.741423i | \(0.265849\pi\) | |||||||
\(860\) | −279.650 | + | 399.162i | −0.325175 | + | 0.464142i | ||||
\(861\) | 26.4571 | − | 18.8769i | 0.0307283 | − | 0.0219244i | ||||
\(862\) | 69.1932 | + | 188.584i | 0.0802705 | + | 0.218775i | ||||
\(863\) | 171.486 | − | 1082.72i | 0.198709 | − | 1.25460i | −0.663551 | − | 0.748131i | \(-0.730952\pi\) |
0.862260 | − | 0.506466i | \(-0.169048\pi\) | |||||||
\(864\) | −701.335 | − | 504.604i | −0.811731 | − | 0.584032i | ||||
\(865\) | 623.316 | + | 971.362i | 0.720597 | + | 1.12296i | ||||
\(866\) | −1008.04 | − | 466.880i | −1.16402 | − | 0.539123i | ||||
\(867\) | 117.435 | + | 785.073i | 0.135450 | + | 0.905505i | ||||
\(868\) | 2.20486 | + | 9.32929i | 0.00254016 | + | 0.0107480i | ||||
\(869\) | 58.1942 | − | 179.103i | 0.0669668 | − | 0.206103i | ||||
\(870\) | 277.740 | − | 189.775i | 0.319241 | − | 0.218132i | ||||
\(871\) | 17.5598 | − | 5.70554i | 0.0201606 | − | 0.00655056i | ||||
\(872\) | −606.259 | + | 1069.19i | −0.695251 | + | 1.22614i | ||||
\(873\) | 1161.15 | + | 617.003i | 1.33007 | + | 0.706762i | ||||
\(874\) | −574.589 | − | 1030.28i | −0.657424 | − | 1.17881i | ||||
\(875\) | −36.2986 | − | 74.2124i | −0.0414841 | − | 0.0848142i | ||||
\(876\) | −629.666 | − | 755.624i | −0.718797 | − | 0.862585i | ||||
\(877\) | −131.247 | − | 828.660i | −0.149654 | − | 0.944881i | −0.942196 | − | 0.335063i | \(-0.891243\pi\) |
0.792541 | − | 0.609818i | \(-0.208757\pi\) | |||||||
\(878\) | 606.827 | − | 22.7664i | 0.691146 | − | 0.0259299i | ||||
\(879\) | 1135.84 | + | 9.76355i | 1.29219 | + | 0.0111076i | ||||
\(880\) | −474.376 | − | 394.082i | −0.539064 | − | 0.447821i | ||||
\(881\) | −1050.92 | − | 341.465i | −1.19287 | − | 0.387588i | −0.355739 | − | 0.934585i | \(-0.615771\pi\) |
−0.837134 | + | 0.546998i | \(0.815771\pi\) | |||||||
\(882\) | 696.613 | − | 528.060i | 0.789810 | − | 0.598708i | ||||
\(883\) | 353.023 | − | 179.874i | 0.399800 | − | 0.203708i | −0.242517 | − | 0.970147i | \(-0.577973\pi\) |
0.642317 | + | 0.766439i | \(0.277973\pi\) | |||||||
\(884\) | −2.02916 | − | 27.0050i | −0.00229543 | − | 0.0305487i | ||||
\(885\) | −687.613 | + | 173.936i | −0.776964 | + | 0.196537i | ||||
\(886\) | −136.363 | + | 1134.91i | −0.153909 | + | 1.28094i | ||||
\(887\) | −810.258 | − | 128.332i | −0.913482 | − | 0.144681i | −0.318038 | − | 0.948078i | \(-0.603024\pi\) |
−0.595444 | + | 0.803397i | \(0.703024\pi\) | |||||||
\(888\) | 919.399 | + | 531.817i | 1.03536 | + | 0.598893i | ||||
\(889\) | 95.2601 | − | 131.114i | 0.107154 | − | 0.147485i | ||||
\(890\) | 1466.97 | − | 710.319i | 1.64828 | − | 0.798111i | ||||
\(891\) | −492.251 | − | 384.174i | −0.552471 | − | 0.431172i | ||||
\(892\) | 1677.82 | + | 138.026i | 1.88096 | + | 0.154738i | ||||
\(893\) | 1006.57 | + | 1006.57i | 1.12718 | + | 1.12718i | ||||
\(894\) | 52.5011 | − | 407.357i | 0.0587260 | − | 0.455656i | ||||
\(895\) | −545.647 | + | 485.949i | −0.609661 | + | 0.542959i | ||||
\(896\) | 56.6501 | + | 62.8281i | 0.0632256 | + | 0.0701206i | ||||
\(897\) | −53.0918 | − | 54.0125i | −0.0591882 | − | 0.0602146i | ||||
\(898\) | −1344.82 | + | 1056.32i | −1.49757 | + | 1.17630i | ||||
\(899\) | 40.6594i | 0.0452274i | ||||||||
\(900\) | −757.460 | + | 486.060i | −0.841622 | + | 0.540067i | ||||
\(901\) | 463.740 | 0.514695 | ||||||||
\(902\) | −156.111 | − | 198.749i | −0.173072 | − | 0.220342i | ||||
\(903\) | 34.4576 | − | 33.8702i | 0.0381590 | − | 0.0375086i | ||||
\(904\) | −338.070 | − | 1223.54i | −0.373971 | − | 1.35347i | ||||
\(905\) | −23.5867 | − | 236.809i | −0.0260626 | − | 0.261667i | ||||
\(906\) | 554.989 | + | 71.5282i | 0.612570 | + | 0.0789495i | ||||
\(907\) | −381.990 | + | 381.990i | −0.421157 | + | 0.421157i | −0.885602 | − | 0.464445i | \(-0.846254\pi\) |
0.464445 | + | 0.885602i | \(0.346254\pi\) | |||||||
\(908\) | −782.254 | − | 64.3523i | −0.861513 | − | 0.0708726i | ||||
\(909\) | −858.203 | − | 14.7551i | −0.944117 | − | 0.0162323i | ||||
\(910\) | 8.97434 | − | 1.23517i | 0.00986191 | − | 0.00135733i | ||||
\(911\) | 281.799 | + | 204.739i | 0.309329 | + | 0.224741i | 0.731608 | − | 0.681725i | \(-0.238770\pi\) |
−0.422280 | + | 0.906466i | \(0.638770\pi\) | |||||||
\(912\) | 24.0967 | − | 1536.97i | 0.0264219 | − | 1.68527i | ||||
\(913\) | −115.849 | + | 731.439i | −0.126888 | + | 0.801138i | ||||
\(914\) | 299.917 | + | 36.0360i | 0.328137 | + | 0.0394267i | ||||
\(915\) | 499.807 | − | 314.691i | 0.546237 | − | 0.343924i | ||||
\(916\) | −108.960 | − | 1450.09i | −0.118952 | − | 1.58307i | ||||
\(917\) | 53.4785 | + | 104.957i | 0.0583190 | + | 0.114457i | ||||
\(918\) | −85.3886 | − | 252.690i | −0.0930159 | − | 0.275261i | ||||
\(919\) | −214.544 | + | 660.298i | −0.233454 | + | 0.718496i | 0.763869 | + | 0.645371i | \(0.223297\pi\) |
−0.997323 | + | 0.0731250i | \(0.976703\pi\) | |||||||
\(920\) | −618.815 | − | 399.813i | −0.672625 | − | 0.434579i | ||||
\(921\) | −12.6207 | + | 1468.22i | −0.0137032 | + | 1.59416i | ||||
\(922\) | 46.9422 | + | 1251.22i | 0.0509134 | + | 1.35707i | ||||
\(923\) | −69.2145 | + | 10.9625i | −0.0749886 | + | 0.0118770i | ||||
\(924\) | 39.1393 | + | 46.9688i | 0.0423586 | + | 0.0508320i | ||||
\(925\) | 867.355 | − | 686.867i | 0.937682 | − | 0.742559i | ||||
\(926\) | 610.898 | − | 340.700i | 0.659717 | − | 0.367927i | ||||
\(927\) | 768.344 | + | 408.278i | 0.828851 | + | 0.440429i | ||||
\(928\) | 172.544 | + | 314.599i | 0.185931 | + | 0.339008i | ||||
\(929\) | 478.190 | + | 1471.72i | 0.514736 | + | 1.58419i | 0.783762 | + | 0.621062i | \(0.213298\pi\) |
−0.269026 | + | 0.963133i | \(0.586702\pi\) | |||||||
\(930\) | 3.14356 | − | 108.740i | 0.00338017 | − | 0.116924i | ||||
\(931\) | 1479.08 | + | 480.582i | 1.58870 | + | 0.516199i | ||||
\(932\) | −78.9394 | − | 334.012i | −0.0846990 | − | 0.358382i | ||||
\(933\) | −1394.93 | + | 208.660i | −1.49510 | + | 0.223644i | ||||
\(934\) | 247.625 | − | 534.648i | 0.265123 | − | 0.572428i | ||||
\(935\) | −48.2735 | − | 184.165i | −0.0516294 | − | 0.196967i | ||||
\(936\) | −24.6441 | − | 95.5619i | −0.0263292 | − | 0.102096i | ||||
\(937\) | −1659.73 | − | 262.876i | −1.77133 | − | 0.280550i | −0.816420 | − | 0.577459i | \(-0.804044\pi\) |
−0.954906 | + | 0.296908i | \(0.904044\pi\) | |||||||
\(938\) | −16.7158 | + | 6.13320i | −0.0178207 | + | 0.00653859i | ||||
\(939\) | −508.527 | − | 712.731i | −0.541562 | − | 0.759032i | ||||
\(940\) | 850.108 | + | 260.145i | 0.904371 | + | 0.276750i | ||||
\(941\) | −934.321 | − | 1285.98i | −0.992903 | − | 1.36661i | −0.929580 | − | 0.368620i | \(-0.879830\pi\) |
−0.0633224 | − | 0.997993i | \(-0.520170\pi\) | |||||||
\(942\) | −490.656 | + | 378.622i | −0.520867 | + | 0.401934i | ||||
\(943\) | −213.486 | − | 213.486i | −0.226391 | − | 0.226391i | ||||
\(944\) | −113.057 | − | 748.060i | −0.119764 | − | 0.792437i | ||||
\(945\) | 82.6028 | − | 33.7273i | 0.0874104 | − | 0.0356903i | ||||
\(946\) | −275.442 | − | 255.522i | −0.291165 | − | 0.270108i | ||||
\(947\) | 356.710 | − | 700.083i | 0.376674 | − | 0.739264i | −0.622382 | − | 0.782714i | \(-0.713835\pi\) |
0.999056 | + | 0.0434498i | \(0.0138349\pi\) | |||||||
\(948\) | 193.075 | − | 220.584i | 0.203666 | − | 0.232684i | ||||
\(949\) | − | 112.348i | − | 0.118386i | ||||||
\(950\) | −1479.59 | − | 612.120i | −1.55746 | − | 0.644337i | ||||
\(951\) | −492.090 | − | 164.579i | −0.517445 | − | 0.173059i | ||||
\(952\) | 2.93183 | + | 25.9509i | 0.00307965 | + | 0.0272594i | ||||
\(953\) | 414.468 | − | 813.440i | 0.434909 | − | 0.853557i | −0.564692 | − | 0.825302i | \(-0.691005\pi\) |
0.999601 | − | 0.0282550i | \(-0.00899504\pi\) | |||||||
\(954\) | 1663.43 | − | 298.207i | 1.74364 | − | 0.312586i | ||||
\(955\) | −144.232 | + | 246.705i | −0.151028 | + | 0.258329i | ||||
\(956\) | −452.354 | − | 533.451i | −0.473173 | − | 0.558003i | ||||
\(957\) | 115.736 | + | 232.054i | 0.120936 | + | 0.242481i | ||||
\(958\) | −452.299 | + | 674.325i | −0.472128 | + | 0.703889i | ||||
\(959\) | −58.5608 | − | 80.6020i | −0.0610644 | − | 0.0840479i | ||||
\(960\) | −437.128 | − | 854.704i | −0.455342 | − | 0.890317i | ||||
\(961\) | −766.828 | − | 557.133i | −0.797947 | − | 0.579743i | ||||
\(962\) | 41.7892 | + | 113.895i | 0.0434399 | + | 0.118394i | ||||
\(963\) | 257.841 | − | 249.125i | 0.267748 | − | 0.258696i | ||||
\(964\) | −417.589 | − | 1018.33i | −0.433184 | − | 1.05636i | ||||
\(965\) | −86.0023 | + | 220.448i | −0.0891216 | + | 0.228444i | ||||
\(966\) | 53.1165 | + | 50.1314i | 0.0549860 | + | 0.0518958i | ||||
\(967\) | 26.7081 | + | 52.4176i | 0.0276195 | + | 0.0542064i | 0.904404 | − | 0.426677i | \(-0.140316\pi\) |
−0.876784 | + | 0.480884i | \(0.840316\pi\) | |||||||
\(968\) | −363.486 | + | 332.440i | −0.375502 | + | 0.343430i | ||||
\(969\) | 282.217 | − | 381.499i | 0.291245 | − | 0.393703i | ||||
\(970\) | 834.577 | + | 1199.16i | 0.860389 | + | 1.23625i | ||||
\(971\) | −362.865 | − | 1116.78i | −0.373703 | − | 1.15014i | −0.944350 | − | 0.328943i | \(-0.893308\pi\) |
0.570647 | − | 0.821195i | \(-0.306692\pi\) | |||||||
\(972\) | −468.780 | − | 851.487i | −0.482284 | − | 0.876015i | ||||
\(973\) | −152.926 | + | 24.2211i | −0.157170 | + | 0.0248932i | ||||
\(974\) | −678.555 | − | 1216.69i | −0.696668 | − | 1.24917i | ||||
\(975\) | −102.009 | − | 12.7356i | −0.104624 | − | 0.0130621i | ||||
\(976\) | 282.032 | + | 563.345i | 0.288967 | + | 0.577198i | ||||
\(977\) | −1651.73 | + | 261.609i | −1.69062 | + | 0.267767i | −0.926222 | − | 0.376980i | \(-0.876963\pi\) |
−0.764396 | + | 0.644747i | \(0.776963\pi\) | |||||||
\(978\) | 93.4346 | − | 318.614i | 0.0955364 | − | 0.325782i | ||||
\(979\) | 388.271 | + | 1194.97i | 0.396599 | + | 1.22061i | ||||
\(980\) | 956.552 | − | 168.411i | 0.976073 | − | 0.171847i | ||||
\(981\) | −1132.48 | + | 793.412i | −1.15441 | + | 0.808779i | ||||
\(982\) | 149.063 | − | 524.979i | 0.151796 | − | 0.534602i | ||||
\(983\) | 648.631 | + | 1273.01i | 0.659849 | + | 1.29503i | 0.941986 | + | 0.335652i | \(0.108957\pi\) |
−0.282138 | + | 0.959374i | \(0.591043\pi\) | |||||||
\(984\) | −101.511 | − | 380.086i | −0.103162 | − | 0.386266i | ||||
\(985\) | −168.941 | − | 9.77651i | −0.171514 | − | 0.00992539i | ||||
\(986\) | −13.2142 | + | 109.978i | −0.0134018 | + | 0.111539i | ||||
\(987\) | −78.1818 | − | 40.6859i | −0.0792115 | − | 0.0412217i | ||||
\(988\) | 114.501 | − | 133.106i | 0.115892 | − | 0.134723i | ||||
\(989\) | −363.115 | − | 263.818i | −0.367154 | − | 0.266753i | ||||
\(990\) | −291.583 | − | 629.554i | −0.294529 | − | 0.635913i | ||||
\(991\) | −167.363 | − | 230.355i | −0.168883 | − | 0.232447i | 0.716184 | − | 0.697912i | \(-0.245887\pi\) |
−0.885067 | + | 0.465465i | \(0.845887\pi\) | |||||||
\(992\) | 115.108 | + | 14.6581i | 0.116036 | + | 0.0147764i | ||||
\(993\) | 1100.01 | − | 548.623i | 1.10776 | − | 0.552490i | ||||
\(994\) | 66.3044 | − | 13.0668i | 0.0667047 | − | 0.0131457i | ||||
\(995\) | −1171.49 | + | 513.956i | −1.17738 | + | 0.516539i | ||||
\(996\) | −614.211 | + | 975.526i | −0.616678 | + | 0.979444i | ||||
\(997\) | 339.299 | − | 665.913i | 0.340320 | − | 0.667916i | −0.655893 | − | 0.754854i | \(-0.727708\pi\) |
0.996214 | + | 0.0869371i | \(0.0277079\pi\) | |||||||
\(998\) | −516.664 | + | 405.824i | −0.517699 | + | 0.406637i | ||||
\(999\) | 677.184 | + | 984.481i | 0.677862 | + | 0.985466i |
(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 | 300.3.u.a.287.92 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.25 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.104 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.13 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.13 | ✓ | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.104 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.25 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.92 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.13 | ✓ | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.25 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.92 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.104 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.287.13 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.25 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.92 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.104 | yes | 928 | 4.3 | odd | 2 | inner |