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 | 287.15 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.15 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.84964 | + | 0.760803i | −0.924821 | + | 0.380402i | ||||
\(3\) | 1.59435 | − | 2.54127i | 0.531450 | − | 0.847090i | ||||
\(4\) | 2.84236 | − | 2.81443i | 0.710589 | − | 0.703607i | ||||
\(5\) | −0.179543 | + | 4.99678i | −0.0359085 | + | 0.999355i | ||||
\(6\) | −1.01557 | + | 5.91343i | −0.169262 | + | 0.985571i | ||||
\(7\) | −8.22741 | + | 8.22741i | −1.17534 | + | 1.17534i | −0.194427 | + | 0.980917i | \(0.562285\pi\) |
−0.980917 | + | 0.194427i | \(0.937715\pi\) | |||||||
\(8\) | −3.11612 | + | 7.36816i | −0.389515 | + | 0.921020i | ||||
\(9\) | −3.91609 | − | 8.10335i | −0.435121 | − | 0.900372i | ||||
\(10\) | −3.46947 | − | 9.37885i | −0.346947 | − | 0.937885i | ||||
\(11\) | −1.28714 | − | 0.935165i | −0.117013 | − | 0.0850150i | 0.527740 | − | 0.849406i | \(-0.323040\pi\) |
−0.644753 | + | 0.764391i | \(0.723040\pi\) | |||||||
\(12\) | −2.62050 | − | 11.7104i | −0.218375 | − | 0.975865i | ||||
\(13\) | 2.67538 | − | 16.8917i | 0.205798 | − | 1.29936i | −0.641039 | − | 0.767508i | \(-0.721496\pi\) |
0.846838 | − | 0.531851i | \(-0.178504\pi\) | |||||||
\(14\) | 8.95833 | − | 21.4772i | 0.639881 | − | 1.53409i | ||||
\(15\) | 12.4119 | + | 8.42288i | 0.827460 | + | 0.561525i | ||||
\(16\) | 0.157988 | − | 15.9992i | 0.00987427 | − | 0.999951i | ||||
\(17\) | −11.2749 | − | 22.1283i | −0.663231 | − | 1.30167i | −0.940146 | − | 0.340771i | \(-0.889312\pi\) |
0.276915 | − | 0.960894i | \(-0.410688\pi\) | |||||||
\(18\) | 13.4084 | + | 12.0089i | 0.744912 | + | 0.667162i | ||||
\(19\) | 3.50658 | − | 10.7921i | 0.184557 | − | 0.568008i | −0.815384 | − | 0.578921i | \(-0.803474\pi\) |
0.999940 | + | 0.0109133i | \(0.00347389\pi\) | |||||||
\(20\) | 13.5527 | + | 14.7079i | 0.677637 | + | 0.735397i | ||||
\(21\) | 7.79068 | + | 34.0254i | 0.370985 | + | 1.62026i | ||||
\(22\) | 3.09223 | + | 0.750458i | 0.140556 | + | 0.0341117i | ||||
\(23\) | −31.9007 | + | 5.05258i | −1.38699 | + | 0.219677i | −0.804882 | − | 0.593435i | \(-0.797771\pi\) |
−0.582106 | + | 0.813113i | \(0.697771\pi\) | |||||||
\(24\) | 13.7563 | + | 19.6663i | 0.573179 | + | 0.819430i | ||||
\(25\) | −24.9355 | − | 1.79427i | −0.997421 | − | 0.0717708i | ||||
\(26\) | 7.90274 | + | 33.2790i | 0.303952 | + | 1.27996i | ||||
\(27\) | −26.8364 | − | 2.96773i | −0.993941 | − | 0.109916i | ||||
\(28\) | −0.229783 | + | 46.5407i | −0.00820655 | + | 1.66217i | ||||
\(29\) | −10.1746 | − | 31.3142i | −0.350848 | − | 1.07980i | −0.958378 | − | 0.285503i | \(-0.907839\pi\) |
0.607529 | − | 0.794297i | \(-0.292161\pi\) | |||||||
\(30\) | −29.3657 | − | 6.13631i | −0.978857 | − | 0.204544i | ||||
\(31\) | −10.4297 | − | 3.38881i | −0.336442 | − | 0.109317i | 0.135924 | − | 0.990719i | \(-0.456600\pi\) |
−0.472366 | + | 0.881403i | \(0.656600\pi\) | |||||||
\(32\) | 11.8800 | + | 29.7130i | 0.371251 | + | 0.928533i | ||||
\(33\) | −4.42867 | + | 1.78000i | −0.134202 | + | 0.0539394i | ||||
\(34\) | 37.6899 | + | 32.3515i | 1.10853 | + | 0.951513i | ||||
\(35\) | −39.6333 | − | 42.5877i | −1.13238 | − | 1.21679i | ||||
\(36\) | −33.9372 | − | 12.0110i | −0.942701 | − | 0.333640i | ||||
\(37\) | 32.8985 | + | 5.21062i | 0.889150 | + | 0.140827i | 0.584266 | − | 0.811562i | \(-0.301382\pi\) |
0.304884 | + | 0.952390i | \(0.401382\pi\) | |||||||
\(38\) | 1.72478 | + | 22.6294i | 0.0453889 | + | 0.595512i | ||||
\(39\) | −38.6608 | − | 33.7301i | −0.991302 | − | 0.864874i | ||||
\(40\) | −36.2576 | − | 16.8934i | −0.906439 | − | 0.422336i | ||||
\(41\) | 10.7464 | + | 14.7912i | 0.262108 | + | 0.360761i | 0.919706 | − | 0.392608i | \(-0.128427\pi\) |
−0.657597 | + | 0.753370i | \(0.728427\pi\) | |||||||
\(42\) | −40.2966 | − | 57.0077i | −0.959444 | − | 1.35733i | ||||
\(43\) | 14.1057 | + | 14.1057i | 0.328038 | + | 0.328038i | 0.851840 | − | 0.523802i | \(-0.175487\pi\) |
−0.523802 | + | 0.851840i | \(0.675487\pi\) | |||||||
\(44\) | −6.29048 | + | 0.964502i | −0.142965 | + | 0.0219205i | ||||
\(45\) | 41.1937 | − | 18.1129i | 0.915416 | − | 0.402510i | ||||
\(46\) | 55.1609 | − | 33.6156i | 1.19915 | − | 0.730775i | ||||
\(47\) | −33.4318 | + | 65.6136i | −0.711315 | + | 1.39603i | 0.198116 | + | 0.980178i | \(0.436518\pi\) |
−0.909431 | + | 0.415855i | \(0.863482\pi\) | |||||||
\(48\) | −40.4064 | − | 25.9099i | −0.841801 | − | 0.539789i | ||||
\(49\) | − | 86.3805i | − | 1.76287i | ||||||
\(50\) | 47.4869 | − | 15.6523i | 0.949738 | − | 0.313045i | ||||
\(51\) | −74.2102 | − | 6.62764i | −1.45510 | − | 0.129954i | ||||
\(52\) | −39.9360 | − | 55.5418i | −0.768000 | − | 1.06811i | ||||
\(53\) | −9.37047 | + | 18.3906i | −0.176801 | + | 0.346992i | −0.962352 | − | 0.271805i | \(-0.912380\pi\) |
0.785551 | + | 0.618797i | \(0.212380\pi\) | |||||||
\(54\) | 51.8956 | − | 14.9280i | 0.961030 | − | 0.276444i | ||||
\(55\) | 4.90391 | − | 6.26367i | 0.0891620 | − | 0.113885i | ||||
\(56\) | −34.9833 | − | 86.2585i | −0.624701 | − | 1.54033i | ||||
\(57\) | −21.8350 | − | 26.1176i | −0.383071 | − | 0.458204i | ||||
\(58\) | 42.6433 | + | 50.1792i | 0.735230 | + | 0.865159i | ||||
\(59\) | −31.1033 | − | 42.8101i | −0.527175 | − | 0.725594i | 0.459521 | − | 0.888167i | \(-0.348021\pi\) |
−0.986697 | + | 0.162572i | \(0.948021\pi\) | |||||||
\(60\) | 58.9846 | − | 10.9916i | 0.983077 | − | 0.183193i | ||||
\(61\) | 63.9151 | + | 46.4370i | 1.04779 | + | 0.761263i | 0.971791 | − | 0.235845i | \(-0.0757858\pi\) |
0.0759977 | + | 0.997108i | \(0.475786\pi\) | |||||||
\(62\) | 21.8694 | − | 1.66685i | 0.352733 | − | 0.0268847i | ||||
\(63\) | 98.8888 | + | 34.4502i | 1.56966 | + | 0.546829i | ||||
\(64\) | −44.5796 | − | 45.9201i | −0.696556 | − | 0.717502i | ||||
\(65\) | 83.9235 | + | 16.4010i | 1.29113 | + | 0.252324i | ||||
\(66\) | 6.83722 | − | 6.66170i | 0.103594 | − | 0.100935i | ||||
\(67\) | −31.0349 | − | 60.9095i | −0.463208 | − | 0.909097i | −0.997945 | − | 0.0640784i | \(-0.979589\pi\) |
0.534737 | − | 0.845019i | \(-0.320411\pi\) | |||||||
\(68\) | −94.3259 | − | 31.1641i | −1.38715 | − | 0.458295i | ||||
\(69\) | −38.0210 | + | 89.1239i | −0.551029 | + | 1.29165i | ||||
\(70\) | 105.708 | + | 48.6188i | 1.51012 | + | 0.694555i | ||||
\(71\) | −26.1590 | − | 80.5092i | −0.368437 | − | 1.13393i | −0.947801 | − | 0.318863i | \(-0.896699\pi\) |
0.579364 | − | 0.815069i | \(-0.303301\pi\) | |||||||
\(72\) | 71.9098 | − | 3.60340i | 0.998747 | − | 0.0500473i | ||||
\(73\) | −127.359 | + | 20.1717i | −1.74465 | + | 0.276325i | −0.945691 | − | 0.325067i | \(-0.894613\pi\) |
−0.798954 | + | 0.601392i | \(0.794613\pi\) | |||||||
\(74\) | −64.8148 | + | 15.3915i | −0.875876 | + | 0.207994i | ||||
\(75\) | −44.3157 | + | 60.5072i | −0.590876 | + | 0.806762i | ||||
\(76\) | −20.4068 | − | 40.5442i | −0.268510 | − | 0.533476i | ||||
\(77\) | 18.2839 | − | 2.89588i | 0.237453 | − | 0.0376088i | ||||
\(78\) | 97.1706 | + | 32.9754i | 1.24578 | + | 0.422761i | ||||
\(79\) | 32.1438 | + | 98.9284i | 0.406884 | + | 1.25226i | 0.919312 | + | 0.393529i | \(0.128746\pi\) |
−0.512429 | + | 0.858730i | \(0.671254\pi\) | |||||||
\(80\) | 79.9161 | + | 3.66198i | 0.998952 | + | 0.0457747i | ||||
\(81\) | −50.3284 | + | 63.4669i | −0.621339 | + | 0.783542i | ||||
\(82\) | −31.1303 | − | 19.1825i | −0.379638 | − | 0.233933i | ||||
\(83\) | 32.0538 | + | 62.9091i | 0.386190 | + | 0.757941i | 0.999491 | − | 0.0319087i | \(-0.0101586\pi\) |
−0.613301 | + | 0.789850i | \(0.710159\pi\) | |||||||
\(84\) | 117.906 | + | 74.7861i | 1.40364 | + | 0.890311i | ||||
\(85\) | 112.595 | − | 52.3653i | 1.32464 | − | 0.616063i | ||||
\(86\) | −36.8220 | − | 15.3588i | −0.428163 | − | 0.178591i | ||||
\(87\) | −95.7997 | − | 24.0694i | −1.10115 | − | 0.276660i | ||||
\(88\) | 10.9013 | − | 6.56980i | 0.123879 | − | 0.0746568i | ||||
\(89\) | 2.59645 | + | 1.88643i | 0.0291736 | + | 0.0211959i | 0.602277 | − | 0.798288i | \(-0.294260\pi\) |
−0.573103 | + | 0.819483i | \(0.694260\pi\) | |||||||
\(90\) | −62.4133 | + | 64.8428i | −0.693481 | + | 0.720475i | ||||
\(91\) | 116.963 | + | 160.986i | 1.28531 | + | 1.76908i | ||||
\(92\) | −76.4531 | + | 104.144i | −0.831012 | + | 1.13199i | ||||
\(93\) | −25.2405 | + | 21.1017i | −0.271403 | + | 0.226900i | ||||
\(94\) | 11.9178 | − | 146.797i | 0.126786 | − | 1.56167i | ||||
\(95\) | 53.2964 | + | 19.4593i | 0.561014 | + | 0.204834i | ||||
\(96\) | 94.4498 | + | 17.1826i | 0.983852 | + | 0.178986i | ||||
\(97\) | −15.6847 | + | 30.7829i | −0.161697 | + | 0.317349i | −0.957613 | − | 0.288059i | \(-0.906990\pi\) |
0.795915 | + | 0.605408i | \(0.206990\pi\) | |||||||
\(98\) | 65.7186 | + | 159.773i | 0.670598 | + | 1.63034i | ||||
\(99\) | −2.53739 | + | 14.0924i | −0.0256302 | + | 0.142347i | ||||
\(100\) | −75.9255 | + | 65.0793i | −0.759255 | + | 0.650793i | ||||
\(101\) | − | 131.000i | − | 1.29703i | −0.761203 | − | 0.648514i | \(-0.775391\pi\) | ||
0.761203 | − | 0.648514i | \(-0.224609\pi\) | |||||||
\(102\) | 142.305 | − | 44.2006i | 1.39514 | − | 0.433339i | ||||
\(103\) | 18.7813 | − | 36.8605i | 0.182343 | − | 0.357868i | −0.781683 | − | 0.623676i | \(-0.785639\pi\) |
0.964026 | + | 0.265807i | \(0.0856385\pi\) | |||||||
\(104\) | 116.124 | + | 72.3491i | 1.11657 | + | 0.695664i | ||||
\(105\) | −171.416 | + | 32.8193i | −1.63254 | + | 0.312564i | ||||
\(106\) | 3.34041 | − | 41.1451i | 0.0315133 | − | 0.388161i | ||||
\(107\) | −8.66442 | − | 8.66442i | −0.0809759 | − | 0.0809759i | 0.665459 | − | 0.746435i | \(-0.268236\pi\) |
−0.746435 | + | 0.665459i | \(0.768236\pi\) | |||||||
\(108\) | −84.6311 | + | 67.0938i | −0.783621 | + | 0.621239i | ||||
\(109\) | 67.6136 | + | 93.0621i | 0.620308 | + | 0.853781i | 0.997375 | − | 0.0724049i | \(-0.0230674\pi\) |
−0.377067 | + | 0.926186i | \(0.623067\pi\) | |||||||
\(110\) | −4.30506 | + | 15.3165i | −0.0391369 | + | 0.139241i | ||||
\(111\) | 65.6934 | − | 75.2965i | 0.591832 | − | 0.678346i | ||||
\(112\) | 130.332 | + | 132.932i | 1.16368 | + | 1.18689i | ||||
\(113\) | −1.31449 | − | 0.208194i | −0.0116326 | − | 0.00184243i | 0.150615 | − | 0.988592i | \(-0.451874\pi\) |
−0.162248 | + | 0.986750i | \(0.551874\pi\) | |||||||
\(114\) | 60.2574 | + | 31.6961i | 0.528574 | + | 0.278036i | ||||
\(115\) | −19.5191 | − | 160.308i | −0.169731 | − | 1.39398i | ||||
\(116\) | −117.051 | − | 60.3705i | −1.00906 | − | 0.520435i | ||||
\(117\) | −147.356 | + | 44.4698i | −1.25945 | + | 0.380084i | ||||
\(118\) | 90.1001 | + | 55.5198i | 0.763560 | + | 0.470507i | ||||
\(119\) | 274.822 | + | 89.2951i | 2.30943 | + | 0.750379i | ||||
\(120\) | −100.738 | + | 65.2061i | −0.839484 | + | 0.543385i | ||||
\(121\) | −36.6088 | − | 112.670i | −0.302552 | − | 0.931161i | ||||
\(122\) | −153.550 | − | 37.2651i | −1.25860 | − | 0.305452i | ||||
\(123\) | 54.7221 | − | 3.72723i | 0.444895 | − | 0.0303026i | ||||
\(124\) | −39.1825 | + | 19.7214i | −0.315988 | + | 0.159044i | ||||
\(125\) | 13.4426 | − | 124.275i | 0.107540 | − | 0.994201i | ||||
\(126\) | −209.119 | + | 11.5143i | −1.65967 | + | 0.0913832i | ||||
\(127\) | −3.37366 | + | 0.534336i | −0.0265643 | + | 0.00420737i | −0.169702 | − | 0.985495i | \(-0.554281\pi\) |
0.143138 | + | 0.989703i | \(0.454281\pi\) | |||||||
\(128\) | 117.393 | + | 51.0196i | 0.917129 | + | 0.398590i | ||||
\(129\) | 58.3356 | − | 13.3569i | 0.452214 | − | 0.103542i | ||||
\(130\) | −167.707 | + | 33.5132i | −1.29005 | + | 0.257794i | ||||
\(131\) | 1.87573 | − | 5.77292i | 0.0143186 | − | 0.0440681i | −0.943642 | − | 0.330968i | \(-0.892625\pi\) |
0.957961 | + | 0.286900i | \(0.0926247\pi\) | |||||||
\(132\) | −7.57817 | + | 17.5236i | −0.0574104 | + | 0.132754i | ||||
\(133\) | 59.9413 | + | 117.642i | 0.450687 | + | 0.884523i | ||||
\(134\) | 103.744 | + | 89.0493i | 0.774207 | + | 0.664547i | ||||
\(135\) | 19.6474 | − | 133.563i | 0.145536 | − | 0.989353i | ||||
\(136\) | 198.179 | − | 14.1211i | 1.45720 | − | 0.103832i | ||||
\(137\) | 3.19682 | − | 20.1839i | 0.0233344 | − | 0.147328i | −0.973270 | − | 0.229663i | \(-0.926238\pi\) |
0.996605 | + | 0.0823349i | \(0.0262377\pi\) | |||||||
\(138\) | 2.51950 | − | 193.774i | 0.0182572 | − | 1.40416i | ||||
\(139\) | −22.3729 | − | 16.2549i | −0.160956 | − | 0.116942i | 0.504392 | − | 0.863475i | \(-0.331717\pi\) |
−0.665348 | + | 0.746533i | \(0.731717\pi\) | |||||||
\(140\) | −232.512 | − | 9.50422i | −1.66080 | − | 0.0678873i | ||||
\(141\) | 113.440 | + | 189.570i | 0.804537 | + | 1.34447i | ||||
\(142\) | 109.636 | + | 129.011i | 0.772088 | + | 0.908531i | ||||
\(143\) | −19.2401 | + | 19.2401i | −0.134546 | + | 0.134546i | ||||
\(144\) | −130.266 | + | 61.3742i | −0.904624 | + | 0.426210i | ||||
\(145\) | 158.297 | − | 45.2180i | 1.09170 | − | 0.311848i | ||||
\(146\) | 220.222 | − | 134.206i | 1.50837 | − | 0.919217i | ||||
\(147\) | −219.516 | − | 137.721i | −1.49331 | − | 0.936876i | ||||
\(148\) | 108.174 | − | 77.7801i | 0.730907 | − | 0.525541i | ||||
\(149\) | 19.8537 | 0.133246 | 0.0666232 | − | 0.997778i | \(-0.478777\pi\) | ||||
0.0666232 | + | 0.997778i | \(0.478777\pi\) | |||||||
\(150\) | 35.9342 | − | 145.632i | 0.239561 | − | 0.970881i | ||||
\(151\) | 190.556i | 1.26196i | 0.775800 | + | 0.630979i | \(0.217347\pi\) | ||||
−0.775800 | + | 0.630979i | \(0.782653\pi\) | |||||||
\(152\) | 68.5914 | + | 59.4667i | 0.451259 | + | 0.391228i | ||||
\(153\) | −135.160 | + | 178.021i | −0.883396 | + | 1.16354i | ||||
\(154\) | −31.6154 | + | 19.2667i | −0.205295 | + | 0.125109i | ||||
\(155\) | 18.8057 | − | 51.5064i | 0.121327 | − | 0.332300i | ||||
\(156\) | −204.819 | + | 12.9350i | −1.31294 | + | 0.0829167i | ||||
\(157\) | −39.8092 | − | 39.8092i | −0.253562 | − | 0.253562i | 0.568867 | − | 0.822429i | \(-0.307382\pi\) |
−0.822429 | + | 0.568867i | \(0.807382\pi\) | |||||||
\(158\) | −134.720 | − | 158.527i | −0.852656 | − | 1.00334i | ||||
\(159\) | 31.7956 | + | 53.1339i | 0.199972 | + | 0.334176i | ||||
\(160\) | −150.602 | + | 54.0271i | −0.941265 | + | 0.337669i | ||||
\(161\) | 220.891 | − | 304.030i | 1.37199 | − | 1.88838i | ||||
\(162\) | 44.8038 | − | 155.681i | 0.276567 | − | 0.960995i | ||||
\(163\) | −30.3575 | − | 4.80816i | −0.186242 | − | 0.0294979i | 0.0626165 | − | 0.998038i | \(-0.480056\pi\) |
−0.248859 | + | 0.968540i | \(0.580056\pi\) | |||||||
\(164\) | 72.1741 | + | 11.7968i | 0.440086 | + | 0.0719318i | ||||
\(165\) | −8.09912 | − | 22.4486i | −0.0490856 | − | 0.136052i | ||||
\(166\) | −107.149 | − | 91.9727i | −0.645479 | − | 0.554053i | ||||
\(167\) | −107.618 | + | 54.8339i | −0.644417 | + | 0.328347i | −0.745475 | − | 0.666534i | \(-0.767777\pi\) |
0.101058 | + | 0.994881i | \(0.467777\pi\) | |||||||
\(168\) | −274.982 | − | 48.6243i | −1.63679 | − | 0.289430i | ||||
\(169\) | −117.442 | − | 38.1593i | −0.694925 | − | 0.225795i | ||||
\(170\) | −168.420 | + | 182.519i | −0.990705 | + | 1.07364i | ||||
\(171\) | −101.185 | + | 13.8480i | −0.591723 | + | 0.0809825i | ||||
\(172\) | 79.7926 | + | 0.393957i | 0.463911 | + | 0.00229045i | ||||
\(173\) | −22.9347 | − | 144.804i | −0.132570 | − | 0.837016i | −0.960924 | − | 0.276811i | \(-0.910722\pi\) |
0.828354 | − | 0.560205i | \(-0.189278\pi\) | |||||||
\(174\) | 195.507 | − | 28.3649i | 1.12361 | − | 0.163017i | ||||
\(175\) | 219.917 | − | 190.393i | 1.25667 | − | 1.08796i | ||||
\(176\) | −15.1653 | + | 20.4456i | −0.0861663 | + | 0.116168i | ||||
\(177\) | −158.382 | + | 10.7877i | −0.894811 | + | 0.0609473i | ||||
\(178\) | −6.23771 | − | 1.51384i | −0.0350433 | − | 0.00850471i | ||||
\(179\) | −17.8415 | + | 5.79705i | −0.0996732 | + | 0.0323858i | −0.358429 | − | 0.933557i | \(-0.616687\pi\) |
0.258756 | + | 0.965943i | \(0.416687\pi\) | |||||||
\(180\) | 66.1097 | − | 167.420i | 0.367276 | − | 0.930112i | ||||
\(181\) | 14.4235 | − | 44.3911i | 0.0796881 | − | 0.245255i | −0.903274 | − | 0.429065i | \(-0.858843\pi\) |
0.982962 | + | 0.183810i | \(0.0588432\pi\) | |||||||
\(182\) | −338.819 | − | 208.781i | −1.86164 | − | 1.14715i | ||||
\(183\) | 219.912 | − | 88.3885i | 1.20171 | − | 0.482997i | ||||
\(184\) | 62.1783 | − | 250.794i | 0.337925 | − | 1.36301i | ||||
\(185\) | −31.9430 | + | 163.451i | −0.172665 | + | 0.883519i | ||||
\(186\) | 30.6316 | − | 58.2337i | 0.164686 | − | 0.313084i | ||||
\(187\) | −6.18115 | + | 39.0263i | −0.0330543 | + | 0.208697i | ||||
\(188\) | 89.6396 | + | 280.589i | 0.476806 | + | 1.49249i | ||||
\(189\) | 245.211 | − | 196.377i | 1.29741 | − | 1.03903i | ||||
\(190\) | −113.384 | + | 4.55537i | −0.596757 | + | 0.0239756i | ||||
\(191\) | −20.0883 | + | 14.5950i | −0.105175 | + | 0.0764138i | −0.639129 | − | 0.769099i | \(-0.720705\pi\) |
0.533955 | + | 0.845513i | \(0.320705\pi\) | |||||||
\(192\) | −187.771 | + | 40.0759i | −0.977974 | + | 0.208729i | ||||
\(193\) | 11.1405 | − | 11.1405i | 0.0577226 | − | 0.0577226i | −0.677656 | − | 0.735379i | \(-0.737004\pi\) |
0.735379 | + | 0.677656i | \(0.237004\pi\) | |||||||
\(194\) | 5.59131 | − | 68.8702i | 0.0288212 | − | 0.355001i | ||||
\(195\) | 175.483 | − | 187.123i | 0.899913 | − | 0.959606i | ||||
\(196\) | −243.112 | − | 245.524i | −1.24037 | − | 1.25267i | ||||
\(197\) | 108.065 | + | 55.0617i | 0.548552 | + | 0.279501i | 0.706222 | − | 0.707991i | \(-0.250398\pi\) |
−0.157670 | + | 0.987492i | \(0.550398\pi\) | |||||||
\(198\) | −6.02825 | − | 27.9963i | −0.0304457 | − | 0.141395i | ||||
\(199\) | −223.591 | −1.12357 | −0.561785 | − | 0.827283i | \(-0.689885\pi\) | ||||
−0.561785 | + | 0.827283i | \(0.689885\pi\) | |||||||
\(200\) | 90.9226 | − | 178.138i | 0.454613 | − | 0.890689i | ||||
\(201\) | −204.268 | − | 18.2430i | −1.01626 | − | 0.0907611i | ||||
\(202\) | 99.6651 | + | 242.303i | 0.493391 | + | 1.19952i | ||||
\(203\) | 341.345 | + | 173.924i | 1.68150 | + | 0.856769i | ||||
\(204\) | −229.585 | + | 190.021i | −1.12542 | + | 0.931476i | ||||
\(205\) | −75.8378 | + | 51.0419i | −0.369941 | + | 0.248985i | ||||
\(206\) | −6.69522 | + | 82.4676i | −0.0325011 | + | 0.400328i | ||||
\(207\) | 165.869 | + | 238.716i | 0.801299 | + | 1.15322i | ||||
\(208\) | −269.831 | − | 45.4726i | −1.29726 | − | 0.218619i | ||||
\(209\) | −14.6059 | + | 10.6118i | −0.0698848 | + | 0.0507743i | ||||
\(210\) | 292.090 | − | 191.118i | 1.39090 | − | 0.910085i | ||||
\(211\) | −124.121 | + | 170.838i | −0.588251 | + | 0.809658i | −0.994570 | − | 0.104073i | \(-0.966812\pi\) |
0.406318 | + | 0.913732i | \(0.366812\pi\) | |||||||
\(212\) | 25.1247 | + | 78.6451i | 0.118513 | + | 0.370968i | ||||
\(213\) | −246.302 | − | 61.8828i | −1.15635 | − | 0.290529i | ||||
\(214\) | 22.6180 | + | 9.43417i | 0.105692 | + | 0.0440849i | ||||
\(215\) | −73.0153 | + | 67.9502i | −0.339606 | + | 0.316047i | ||||
\(216\) | 105.492 | − | 188.487i | 0.488390 | − | 0.872626i | ||||
\(217\) | 113.691 | − | 57.9282i | 0.523920 | − | 0.266950i | ||||
\(218\) | −195.863 | − | 120.691i | −0.898454 | − | 0.553629i | ||||
\(219\) | −151.793 | + | 355.814i | −0.693120 | + | 1.62472i | ||||
\(220\) | −3.68999 | − | 31.6053i | −0.0167727 | − | 0.143660i | ||||
\(221\) | −403.949 | + | 131.251i | −1.82782 | + | 0.593896i | ||||
\(222\) | −64.2235 | + | 189.251i | −0.289295 | + | 0.852483i | ||||
\(223\) | −29.4635 | − | 186.025i | −0.132123 | − | 0.834193i | −0.961360 | − | 0.275295i | \(-0.911224\pi\) |
0.829237 | − | 0.558898i | \(-0.188776\pi\) | |||||||
\(224\) | −342.203 | − | 146.719i | −1.52769 | − | 0.654997i | ||||
\(225\) | 83.1103 | + | 209.088i | 0.369379 | + | 0.929279i | ||||
\(226\) | 2.58972 | − | 0.614980i | 0.0114590 | − | 0.00272115i | ||||
\(227\) | 11.4814 | + | 72.4909i | 0.0505790 | + | 0.319343i | 0.999986 | + | 0.00529485i | \(0.00168541\pi\) |
−0.949407 | + | 0.314048i | \(0.898315\pi\) | |||||||
\(228\) | −135.569 | − | 12.7825i | −0.594602 | − | 0.0560637i | ||||
\(229\) | −399.215 | + | 129.713i | −1.74330 | + | 0.566431i | −0.995262 | − | 0.0972293i | \(-0.969002\pi\) |
−0.748034 | + | 0.663660i | \(0.769002\pi\) | |||||||
\(230\) | 158.066 | + | 281.662i | 0.687244 | + | 1.22462i | ||||
\(231\) | 21.7917 | − | 51.0812i | 0.0943362 | − | 0.221131i | ||||
\(232\) | 262.433 | + | 22.6107i | 1.13118 | + | 0.0974600i | ||||
\(233\) | 315.797 | − | 160.907i | 1.35535 | − | 0.690587i | 0.382923 | − | 0.923780i | \(-0.374917\pi\) |
0.972430 | + | 0.233193i | \(0.0749174\pi\) | |||||||
\(234\) | 238.723 | − | 194.362i | 1.02019 | − | 0.830608i | ||||
\(235\) | −321.854 | − | 178.832i | −1.36959 | − | 0.760985i | ||||
\(236\) | −208.893 | − | 34.1434i | −0.885138 | − | 0.144675i | ||||
\(237\) | 302.652 | + | 76.0406i | 1.27701 | + | 0.320846i | ||||
\(238\) | −576.259 | + | 43.9215i | −2.42126 | + | 0.184544i | ||||
\(239\) | 203.772 | − | 280.468i | 0.852604 | − | 1.17351i | −0.130679 | − | 0.991425i | \(-0.541716\pi\) |
0.983283 | − | 0.182084i | \(-0.0582841\pi\) | |||||||
\(240\) | 136.720 | − | 197.250i | 0.569668 | − | 0.821875i | ||||
\(241\) | 108.950 | − | 79.1567i | 0.452074 | − | 0.328451i | −0.338340 | − | 0.941024i | \(-0.609865\pi\) |
0.790414 | + | 0.612573i | \(0.209865\pi\) | |||||||
\(242\) | 153.433 | + | 180.548i | 0.634022 | + | 0.746066i | ||||
\(243\) | 81.0453 | + | 229.087i | 0.333520 | + | 0.942743i | ||||
\(244\) | 312.363 | − | 47.8938i | 1.28018 | − | 0.196286i | ||||
\(245\) | 431.624 | + | 15.5090i | 1.76173 | + | 0.0633020i | ||||
\(246\) | −98.3806 | + | 48.5267i | −0.399921 | + | 0.197263i | ||||
\(247\) | −172.916 | − | 88.1051i | −0.700065 | − | 0.356701i | ||||
\(248\) | 57.4695 | − | 66.2877i | 0.231732 | − | 0.267289i | ||||
\(249\) | 210.974 | + | 18.8419i | 0.847285 | + | 0.0756702i | ||||
\(250\) | 69.6850 | + | 240.092i | 0.278740 | + | 0.960367i | ||||
\(251\) | 184.008 | 0.733098 | 0.366549 | − | 0.930399i | \(-0.380539\pi\) | ||||
0.366549 | + | 0.930399i | \(0.380539\pi\) | |||||||
\(252\) | 378.035 | − | 180.396i | 1.50014 | − | 0.715856i | ||||
\(253\) | 45.7858 | + | 23.3291i | 0.180972 | + | 0.0922097i | ||||
\(254\) | 5.83355 | − | 3.55502i | 0.0229667 | − | 0.0139962i | ||||
\(255\) | 46.4407 | − | 369.622i | 0.182120 | − | 1.44950i | ||||
\(256\) | −255.950 | − | 5.05538i | −0.999805 | − | 0.0197476i | ||||
\(257\) | −108.222 | + | 108.222i | −0.421096 | + | 0.421096i | −0.885581 | − | 0.464485i | \(-0.846239\pi\) |
0.464485 | + | 0.885581i | \(0.346239\pi\) | |||||||
\(258\) | −97.7381 | + | 69.0874i | −0.378830 | + | 0.267781i | ||||
\(259\) | −313.540 | + | 227.800i | −1.21058 | + | 0.879536i | ||||
\(260\) | 284.700 | − | 189.579i | 1.09500 | − | 0.729151i | ||||
\(261\) | −213.905 | + | 205.078i | −0.819560 | + | 0.785738i | ||||
\(262\) | 0.922615 | + | 12.1049i | 0.00352143 | + | 0.0462019i | ||||
\(263\) | 28.7688 | − | 181.639i | 0.109387 | − | 0.690643i | −0.870661 | − | 0.491883i | \(-0.836309\pi\) |
0.980048 | − | 0.198760i | \(-0.0636913\pi\) | |||||||
\(264\) | 0.684935 | − | 38.1778i | 0.00259445 | − | 0.144613i | ||||
\(265\) | −90.2112 | − | 50.1240i | −0.340420 | − | 0.189147i | ||||
\(266\) | −200.372 | − | 171.991i | −0.753279 | − | 0.646583i | ||||
\(267\) | 8.93359 | − | 3.59065i | 0.0334591 | − | 0.0134481i | ||||
\(268\) | −259.638 | − | 85.7809i | −0.968798 | − | 0.320078i | ||||
\(269\) | −151.049 | + | 464.882i | −0.561522 | + | 1.72819i | 0.116543 | + | 0.993186i | \(0.462819\pi\) |
−0.678065 | + | 0.735002i | \(0.737181\pi\) | |||||||
\(270\) | 65.2743 | + | 261.991i | 0.241757 | + | 0.970337i | ||||
\(271\) | 297.208 | − | 96.5686i | 1.09671 | − | 0.356342i | 0.295873 | − | 0.955227i | \(-0.404390\pi\) |
0.800835 | + | 0.598886i | \(0.204390\pi\) | |||||||
\(272\) | −355.817 | + | 176.894i | −1.30815 | + | 0.650346i | ||||
\(273\) | 595.589 | − | 40.5668i | 2.18165 | − | 0.148596i | ||||
\(274\) | 9.44301 | + | 39.7652i | 0.0344635 | + | 0.145128i | ||||
\(275\) | 30.4177 | + | 25.6283i | 0.110610 | + | 0.0931939i | ||||
\(276\) | 142.764 | + | 360.329i | 0.517259 | + | 1.30554i | ||||
\(277\) | −39.3371 | − | 248.365i | −0.142011 | − | 0.896624i | −0.951088 | − | 0.308921i | \(-0.900032\pi\) |
0.809076 | − | 0.587703i | \(-0.199968\pi\) | |||||||
\(278\) | 53.7486 | + | 13.0443i | 0.193340 | + | 0.0469220i | ||||
\(279\) | 13.3829 | + | 97.7864i | 0.0479675 | + | 0.350489i | ||||
\(280\) | 437.295 | − | 159.317i | 1.56177 | − | 0.568988i | ||||
\(281\) | 241.797 | + | 78.5647i | 0.860488 | + | 0.279590i | 0.705832 | − | 0.708379i | \(-0.250573\pi\) |
0.154656 | + | 0.987968i | \(0.450573\pi\) | |||||||
\(282\) | −354.049 | − | 264.332i | −1.25549 | − | 0.937347i | ||||
\(283\) | 373.730 | − | 190.425i | 1.32060 | − | 0.672880i | 0.355481 | − | 0.934684i | \(-0.384317\pi\) |
0.965121 | + | 0.261803i | \(0.0843171\pi\) | |||||||
\(284\) | −300.941 | − | 155.213i | −1.05965 | − | 0.546525i | ||||
\(285\) | 134.424 | − | 104.416i | 0.471664 | − | 0.366370i | ||||
\(286\) | 20.9494 | − | 50.2252i | 0.0732496 | − | 0.175613i | ||||
\(287\) | −210.109 | − | 33.2780i | −0.732086 | − | 0.115951i | ||||
\(288\) | 194.252 | − | 212.627i | 0.674485 | − | 0.738288i | ||||
\(289\) | −192.668 | + | 265.185i | −0.666671 | + | 0.917594i | ||||
\(290\) | −258.391 | + | 204.070i | −0.891002 | + | 0.703689i | ||||
\(291\) | 53.2207 | + | 88.9376i | 0.182889 | + | 0.305627i | ||||
\(292\) | −305.228 | + | 415.778i | −1.04530 | + | 1.42390i | ||||
\(293\) | −19.4355 | − | 19.4355i | −0.0663326 | − | 0.0663326i | 0.673162 | − | 0.739495i | \(-0.264936\pi\) |
−0.739495 | + | 0.673162i | \(0.764936\pi\) | |||||||
\(294\) | 510.805 | + | 87.7258i | 1.73743 | + | 0.298387i | ||||
\(295\) | 219.497 | − | 147.730i | 0.744057 | − | 0.500780i | ||||
\(296\) | −140.908 | + | 226.165i | −0.476042 | + | 0.764070i | ||||
\(297\) | 31.7670 | + | 28.9164i | 0.106960 | + | 0.0973615i | ||||
\(298\) | −36.7223 | + | 15.1048i | −0.123229 | + | 0.0506871i | ||||
\(299\) | 552.374i | 1.84741i | ||||||||
\(300\) | 44.3321 | + | 296.706i | 0.147774 | + | 0.989021i | ||||
\(301\) | −232.106 | −0.771116 | ||||||||
\(302\) | −144.975 | − | 352.460i | −0.480051 | − | 1.16709i | ||||
\(303\) | −332.906 | − | 208.860i | −1.09870 | − | 0.689306i | ||||
\(304\) | −172.112 | − | 57.8076i | −0.566158 | − | 0.190157i | ||||
\(305\) | −243.511 | + | 311.032i | −0.798396 | + | 1.01978i | ||||
\(306\) | 114.558 | − | 432.106i | 0.374372 | − | 1.41211i | ||||
\(307\) | −23.1328 | + | 23.1328i | −0.0753513 | + | 0.0753513i | −0.743778 | − | 0.668427i | \(-0.766968\pi\) |
0.668427 | + | 0.743778i | \(0.266968\pi\) | |||||||
\(308\) | 43.8190 | − | 59.6897i | 0.142269 | − | 0.193798i | ||||
\(309\) | −63.7283 | − | 106.497i | −0.206240 | − | 0.344650i | ||||
\(310\) | 4.40238 | + | 109.576i | 0.0142012 | + | 0.353471i | ||||
\(311\) | 87.9809 | + | 63.9218i | 0.282897 | + | 0.205536i | 0.720180 | − | 0.693787i | \(-0.244059\pi\) |
−0.437283 | + | 0.899324i | \(0.644059\pi\) | |||||||
\(312\) | 369.000 | − | 179.752i | 1.18269 | − | 0.576128i | ||||
\(313\) | −19.9935 | + | 126.234i | −0.0638770 | + | 0.403303i | 0.934946 | + | 0.354791i | \(0.115448\pi\) |
−0.998823 | + | 0.0485122i | \(0.984552\pi\) | |||||||
\(314\) | 103.920 | + | 43.3459i | 0.330955 | + | 0.138044i | ||||
\(315\) | −189.895 | + | 487.940i | −0.602841 | + | 1.54902i | ||||
\(316\) | 369.791 | + | 190.724i | 1.17023 | + | 0.603556i | ||||
\(317\) | −110.536 | − | 216.938i | −0.348693 | − | 0.684348i | 0.648338 | − | 0.761353i | \(-0.275464\pi\) |
−0.997031 | + | 0.0770044i | \(0.975464\pi\) | |||||||
\(318\) | −99.2349 | − | 74.0886i | −0.312060 | − | 0.232983i | ||||
\(319\) | −16.1878 | + | 49.8209i | −0.0507454 | + | 0.156178i | ||||
\(320\) | 237.457 | − | 214.510i | 0.742052 | − | 0.670343i | ||||
\(321\) | −35.8328 | + | 8.20450i | −0.111629 | + | 0.0255592i | ||||
\(322\) | −177.262 | + | 730.401i | −0.550503 | + | 2.26833i | ||||
\(323\) | −278.348 | + | 44.0861i | −0.861760 | + | 0.136489i | ||||
\(324\) | 35.5716 | + | 322.041i | 0.109789 | + | 0.993955i | ||||
\(325\) | −97.0202 | + | 416.402i | −0.298524 | + | 1.28124i | ||||
\(326\) | 59.8086 | − | 14.2027i | 0.183462 | − | 0.0435666i | ||||
\(327\) | 344.296 | − | 23.4506i | 1.05289 | − | 0.0717145i | ||||
\(328\) | −142.471 | + | 33.0904i | −0.434364 | + | 0.100885i | ||||
\(329\) | −264.773 | − | 814.887i | −0.804780 | − | 2.47686i | ||||
\(330\) | 32.0595 | + | 35.3601i | 0.0971499 | + | 0.107152i | ||||
\(331\) | −131.725 | − | 42.8001i | −0.397961 | − | 0.129305i | 0.103197 | − | 0.994661i | \(-0.467093\pi\) |
−0.501158 | + | 0.865356i | \(0.667093\pi\) | |||||||
\(332\) | 268.161 | + | 88.5970i | 0.807715 | + | 0.266859i | ||||
\(333\) | −86.6103 | − | 286.993i | −0.260091 | − | 0.861842i | ||||
\(334\) | 157.336 | − | 183.299i | 0.471067 | − | 0.548799i | ||||
\(335\) | 309.923 | − | 144.139i | 0.925144 | − | 0.430265i | ||||
\(336\) | 545.611 | − | 119.269i | 1.62384 | − | 0.354968i | ||||
\(337\) | 203.546 | + | 32.2385i | 0.603994 | + | 0.0956632i | 0.450939 | − | 0.892555i | \(-0.351089\pi\) |
0.153054 | + | 0.988218i | \(0.451089\pi\) | |||||||
\(338\) | 246.258 | − | 18.7694i | 0.728575 | − | 0.0555307i | ||||
\(339\) | −2.62483 | + | 3.00853i | −0.00774286 | + | 0.00887471i | ||||
\(340\) | 172.655 | − | 465.730i | 0.507810 | − | 1.36979i | ||||
\(341\) | 10.2554 | + | 14.1154i | 0.0300746 | + | 0.0413941i | ||||
\(342\) | 176.620 | − | 102.595i | 0.516432 | − | 0.299987i | ||||
\(343\) | 307.545 | + | 307.545i | 0.896632 | + | 0.896632i | ||||
\(344\) | −147.888 | + | 59.9778i | −0.429906 | + | 0.174354i | ||||
\(345\) | −438.506 | − | 205.984i | −1.27103 | − | 0.597055i | ||||
\(346\) | 152.588 | + | 250.387i | 0.441006 | + | 0.723660i | ||||
\(347\) | 239.928 | − | 470.885i | 0.691434 | − | 1.35702i | −0.231795 | − | 0.972765i | \(-0.574460\pi\) |
0.923229 | − | 0.384251i | \(-0.125540\pi\) | |||||||
\(348\) | −340.039 | + | 201.207i | −0.977123 | + | 0.578182i | ||||
\(349\) | 267.689i | 0.767017i | 0.923537 | + | 0.383509i | \(0.125284\pi\) | ||||
−0.923537 | + | 0.383509i | \(0.874716\pi\) | |||||||
\(350\) | −261.917 | + | 519.472i | −0.748333 | + | 1.48421i | ||||
\(351\) | −121.927 | + | 445.372i | −0.347372 | + | 1.26887i | ||||
\(352\) | 12.4953 | − | 49.3548i | 0.0354980 | − | 0.140212i | ||||
\(353\) | −90.2248 | + | 177.076i | −0.255594 | + | 0.501632i | −0.982773 | − | 0.184816i | \(-0.940831\pi\) |
0.727179 | + | 0.686448i | \(0.240831\pi\) | |||||||
\(354\) | 284.742 | − | 140.450i | 0.804356 | − | 0.396753i | ||||
\(355\) | 406.983 | − | 116.256i | 1.14643 | − | 0.327481i | ||||
\(356\) | 12.6893 | − | 1.94561i | 0.0356440 | − | 0.00546520i | ||||
\(357\) | 665.086 | − | 556.029i | 1.86299 | − | 1.55750i | ||||
\(358\) | 28.5900 | − | 24.2963i | 0.0798603 | − | 0.0678669i | ||||
\(359\) | −415.575 | − | 571.989i | −1.15759 | − | 1.59329i | −0.719752 | − | 0.694231i | \(-0.755744\pi\) |
−0.437838 | − | 0.899054i | \(-0.644256\pi\) | |||||||
\(360\) | 5.09452 | + | 359.964i | 0.0141514 | + | 0.999900i | ||||
\(361\) | 187.881 | + | 136.503i | 0.520445 | + | 0.378126i | ||||
\(362\) | 7.09449 | + | 93.0812i | 0.0195980 | + | 0.257130i | ||||
\(363\) | −344.693 | − | 86.6033i | −0.949568 | − | 0.238577i | ||||
\(364\) | 785.535 | + | 128.395i | 2.15806 | + | 0.352734i | ||||
\(365\) | −77.9271 | − | 640.007i | −0.213499 | − | 1.75344i | ||||
\(366\) | −339.512 | + | 330.797i | −0.927630 | + | 0.903817i | ||||
\(367\) | −124.112 | − | 243.584i | −0.338180 | − | 0.663716i | 0.657809 | − | 0.753184i | \(-0.271483\pi\) |
−0.995990 | + | 0.0894683i | \(0.971483\pi\) | |||||||
\(368\) | 75.7974 | + | 511.185i | 0.205971 | + | 1.38909i | ||||
\(369\) | 77.7743 | − | 145.006i | 0.210770 | − | 0.392970i | ||||
\(370\) | −65.2710 | − | 326.628i | −0.176408 | − | 0.882779i | ||||
\(371\) | −74.2121 | − | 228.401i | −0.200033 | − | 0.615637i | ||||
\(372\) | −12.3532 | + | 131.016i | −0.0332076 | + | 0.352194i | ||||
\(373\) | −36.0421 | + | 5.70850i | −0.0966275 | + | 0.0153043i | −0.204561 | − | 0.978854i | \(-0.565577\pi\) |
0.107933 | + | 0.994158i | \(0.465577\pi\) | |||||||
\(374\) | −18.2584 | − | 76.8873i | −0.0488192 | − | 0.205581i | ||||
\(375\) | −294.384 | − | 232.299i | −0.785025 | − | 0.619465i | ||||
\(376\) | −379.274 | − | 450.790i | −1.00871 | − | 1.19891i | ||||
\(377\) | −556.170 | + | 88.0887i | −1.47525 | + | 0.233657i | ||||
\(378\) | −304.148 | + | 549.785i | −0.804624 | + | 1.45446i | ||||
\(379\) | −20.9570 | − | 64.4990i | −0.0552955 | − | 0.170182i | 0.919595 | − | 0.392869i | \(-0.128517\pi\) |
−0.974890 | + | 0.222687i | \(0.928517\pi\) | |||||||
\(380\) | 206.254 | − | 94.6886i | 0.542774 | − | 0.249181i | ||||
\(381\) | −4.02091 | + | 9.42530i | −0.0105536 | + | 0.0247383i | ||||
\(382\) | 26.0523 | − | 42.2789i | 0.0681998 | − | 0.110678i | ||||
\(383\) | −122.293 | − | 240.014i | −0.319303 | − | 0.626668i | 0.674443 | − | 0.738327i | \(-0.264384\pi\) |
−0.993747 | + | 0.111659i | \(0.964384\pi\) | |||||||
\(384\) | 316.819 | − | 216.983i | 0.825050 | − | 0.565059i | ||||
\(385\) | 11.1873 | + | 91.8802i | 0.0290580 | + | 0.238650i | ||||
\(386\) | −12.1302 | + | 29.0816i | −0.0314253 | + | 0.0753409i | ||||
\(387\) | 59.0639 | − | 169.542i | 0.152620 | − | 0.438093i | ||||
\(388\) | 42.0548 | + | 131.639i | 0.108389 | + | 0.339276i | ||||
\(389\) | −115.149 | − | 83.6607i | −0.296013 | − | 0.215066i | 0.429859 | − | 0.902896i | \(-0.358563\pi\) |
−0.725872 | + | 0.687830i | \(0.758563\pi\) | |||||||
\(390\) | −182.217 | + | 479.619i | −0.467223 | + | 1.22979i | ||||
\(391\) | 471.484 | + | 648.942i | 1.20584 | + | 1.65970i | ||||
\(392\) | 636.465 | + | 269.172i | 1.62364 | + | 0.686663i | ||||
\(393\) | −11.6800 | − | 13.9708i | −0.0297200 | − | 0.0355491i | ||||
\(394\) | −241.772 | − | 19.6285i | −0.613635 | − | 0.0498186i | ||||
\(395\) | −500.094 | + | 142.853i | −1.26606 | + | 0.361654i | ||||
\(396\) | 32.4498 | + | 47.1969i | 0.0819439 | + | 0.119184i | ||||
\(397\) | 160.711 | − | 315.414i | 0.404814 | − | 0.794493i | −0.595144 | − | 0.803619i | \(-0.702905\pi\) |
0.999958 | + | 0.00912606i | \(0.00290495\pi\) | |||||||
\(398\) | 413.563 | − | 170.108i | 1.03910 | − | 0.427408i | ||||
\(399\) | 394.526 | + | 35.2348i | 0.988787 | + | 0.0883077i | ||||
\(400\) | −32.6464 | + | 398.666i | −0.0816161 | + | 0.996664i | ||||
\(401\) | − | 303.852i | − | 0.757735i | −0.925451 | − | 0.378868i | \(-0.876314\pi\) | ||
0.925451 | − | 0.378868i | \(-0.123686\pi\) | |||||||
\(402\) | 391.702 | − | 121.665i | 0.974383 | − | 0.302649i | ||||
\(403\) | −85.1461 | + | 167.109i | −0.211281 | + | 0.414662i | ||||
\(404\) | −368.690 | − | 372.348i | −0.912598 | − | 0.921654i | ||||
\(405\) | −308.094 | − | 262.875i | −0.760725 | − | 0.649074i | ||||
\(406\) | −763.689 | − | 62.0009i | −1.88101 | − | 0.152712i | ||||
\(407\) | −37.4724 | − | 37.4724i | −0.0920697 | − | 0.0920697i | ||||
\(408\) | 280.081 | − | 526.140i | 0.686474 | − | 1.28956i | ||||
\(409\) | −91.5304 | − | 125.981i | −0.223791 | − | 0.308021i | 0.682327 | − | 0.731047i | \(-0.260968\pi\) |
−0.906118 | + | 0.423026i | \(0.860968\pi\) | |||||||
\(410\) | 101.440 | − | 152.107i | 0.247415 | − | 0.370993i | ||||
\(411\) | −46.1959 | − | 40.3042i | −0.112399 | − | 0.0980637i | ||||
\(412\) | −50.3578 | − | 157.629i | −0.122228 | − | 0.382595i | ||||
\(413\) | 608.116 | + | 96.3161i | 1.47244 | + | 0.233211i | ||||
\(414\) | −488.414 | − | 315.346i | −1.17975 | − | 0.761706i | ||||
\(415\) | −320.098 | + | 148.871i | −0.771320 | + | 0.358725i | ||||
\(416\) | 533.687 | − | 121.180i | 1.28290 | − | 0.291298i | ||||
\(417\) | −76.9782 | + | 30.9396i | −0.184600 | + | 0.0741957i | ||||
\(418\) | 18.9422 | − | 30.7403i | 0.0453163 | − | 0.0735414i | ||||
\(419\) | −683.753 | − | 222.165i | −1.63187 | − | 0.530226i | −0.657168 | − | 0.753744i | \(-0.728246\pi\) |
−0.974700 | + | 0.223518i | \(0.928246\pi\) | |||||||
\(420\) | −394.859 | + | 575.723i | −0.940139 | + | 1.37077i | ||||
\(421\) | −74.8007 | − | 230.213i | −0.177674 | − | 0.546824i | 0.822072 | − | 0.569384i | \(-0.192818\pi\) |
−0.999745 | + | 0.0225601i | \(0.992818\pi\) | |||||||
\(422\) | 99.6055 | − | 410.421i | 0.236032 | − | 0.972561i | ||||
\(423\) | 662.611 | + | 13.9605i | 1.56646 | + | 0.0330036i | ||||
\(424\) | −106.305 | − | 126.350i | −0.250720 | − | 0.297996i | ||||
\(425\) | 241.442 | + | 572.011i | 0.568100 | + | 1.34591i | ||||
\(426\) | 502.651 | − | 72.9264i | 1.17993 | − | 0.171189i | ||||
\(427\) | −907.912 | + | 143.799i | −2.12626 | + | 0.336766i | ||||
\(428\) | −49.0128 | − | 0.241989i | −0.114516 | − | 0.000565394i | ||||
\(429\) | 18.2188 | + | 79.5697i | 0.0424681 | + | 0.185477i | ||||
\(430\) | 83.3556 | − | 181.234i | 0.193850 | − | 0.421474i | ||||
\(431\) | −227.623 | + | 700.551i | −0.528127 | + | 1.62541i | 0.229921 | + | 0.973209i | \(0.426153\pi\) |
−0.758048 | + | 0.652198i | \(0.773847\pi\) | |||||||
\(432\) | −51.7212 | + | 428.893i | −0.119725 | + | 0.992807i | ||||
\(433\) | 147.128 | + | 288.755i | 0.339788 | + | 0.666871i | 0.996159 | − | 0.0875672i | \(-0.0279092\pi\) |
−0.656371 | + | 0.754439i | \(0.727909\pi\) | |||||||
\(434\) | −166.215 | + | 193.643i | −0.382984 | + | 0.446181i | ||||
\(435\) | 137.470 | − | 474.368i | 0.316022 | − | 1.09050i | ||||
\(436\) | 454.099 | + | 74.2222i | 1.04151 | + | 0.170234i | ||||
\(437\) | −57.3343 | + | 361.995i | −0.131200 | + | 0.828363i | ||||
\(438\) | 10.0587 | − | 773.614i | 0.0229651 | − | 1.76624i | ||||
\(439\) | −31.9957 | − | 23.2463i | −0.0728832 | − | 0.0529528i | 0.550747 | − | 0.834672i | \(-0.314343\pi\) |
−0.623630 | + | 0.781719i | \(0.714343\pi\) | |||||||
\(440\) | 30.8706 | + | 55.6511i | 0.0701604 | + | 0.126480i | ||||
\(441\) | −699.971 | + | 338.274i | −1.58724 | + | 0.767061i | ||||
\(442\) | 647.305 | − | 550.093i | 1.46449 | − | 1.24455i | ||||
\(443\) | −515.747 | + | 515.747i | −1.16421 | + | 1.16421i | −0.180670 | + | 0.983544i | \(0.557827\pi\) |
−0.983544 | + | 0.180670i | \(0.942173\pi\) | |||||||
\(444\) | −25.1925 | − | 398.909i | −0.0567398 | − | 0.898443i | ||||
\(445\) | −9.89226 | + | 12.6352i | −0.0222298 | + | 0.0283937i | ||||
\(446\) | 196.025 | + | 321.664i | 0.439519 | + | 0.721219i | ||||
\(447\) | 31.6538 | − | 50.4536i | 0.0708138 | − | 0.112872i | ||||
\(448\) | 744.578 | + | 11.0292i | 1.66201 | + | 0.0246188i | ||||
\(449\) | 426.888 | 0.950752 | 0.475376 | − | 0.879783i | \(-0.342312\pi\) | ||||
0.475376 | + | 0.879783i | \(0.342312\pi\) | |||||||
\(450\) | −312.799 | − | 323.507i | −0.695109 | − | 0.718905i | ||||
\(451\) | − | 29.0881i | − | 0.0644970i | ||||||
\(452\) | −4.32219 | + | 3.10776i | −0.00956236 | + | 0.00687559i | ||||
\(453\) | 484.253 | + | 303.813i | 1.06899 | + | 0.670668i | ||||
\(454\) | −76.3879 | − | 125.347i | −0.168255 | − | 0.276095i | ||||
\(455\) | −825.411 | + | 555.535i | −1.81409 | + | 1.22096i | ||||
\(456\) | 260.480 | − | 79.4983i | 0.571227 | − | 0.174338i | ||||
\(457\) | −400.495 | − | 400.495i | −0.876357 | − | 0.876357i | 0.116799 | − | 0.993156i | \(-0.462737\pi\) |
−0.993156 | + | 0.116799i | \(0.962737\pi\) | |||||||
\(458\) | 639.719 | − | 543.646i | 1.39677 | − | 1.18700i | ||||
\(459\) | 236.908 | + | 627.305i | 0.516139 | + | 1.36668i | ||||
\(460\) | −506.655 | − | 400.717i | −1.10142 | − | 0.871125i | ||||
\(461\) | −280.229 | + | 385.702i | −0.607872 | + | 0.836664i | −0.996400 | − | 0.0847729i | \(-0.972984\pi\) |
0.388528 | + | 0.921437i | \(0.372984\pi\) | |||||||
\(462\) | −1.44405 | + | 111.061i | −0.00312564 | + | 0.240392i | ||||
\(463\) | 419.383 | + | 66.4238i | 0.905796 | + | 0.143464i | 0.591917 | − | 0.805999i | \(-0.298371\pi\) |
0.313879 | + | 0.949463i | \(0.398371\pi\) | |||||||
\(464\) | −502.610 | + | 157.838i | −1.08321 | + | 0.340169i | ||||
\(465\) | −100.909 | − | 129.910i | −0.217008 | − | 0.279376i | ||||
\(466\) | −461.694 | + | 537.880i | −0.990760 | + | 1.15425i | ||||
\(467\) | 152.836 | − | 77.8737i | 0.327272 | − | 0.166753i | −0.282633 | − | 0.959228i | \(-0.591208\pi\) |
0.609904 | + | 0.792475i | \(0.291208\pi\) | |||||||
\(468\) | −293.681 | + | 541.122i | −0.627525 | + | 1.15624i | ||||
\(469\) | 756.464 | + | 245.790i | 1.61293 | + | 0.524073i | ||||
\(470\) | 731.370 | + | 85.9071i | 1.55611 | + | 0.182781i | ||||
\(471\) | −164.636 | + | 37.6961i | −0.349545 | + | 0.0800341i | ||||
\(472\) | 412.353 | − | 95.7731i | 0.873630 | − | 0.202909i | ||||
\(473\) | −4.96490 | − | 31.3471i | −0.0104966 | − | 0.0662730i | ||||
\(474\) | −617.650 | + | 89.6108i | −1.30306 | + | 0.189052i | ||||
\(475\) | −106.802 | + | 262.816i | −0.224847 | + | 0.553297i | ||||
\(476\) | 1032.46 | − | 519.658i | 2.16903 | − | 1.09172i | ||||
\(477\) | 185.721 | + | 3.91294i | 0.389352 | + | 0.00820323i | ||||
\(478\) | −163.525 | + | 673.797i | −0.342102 | + | 1.40962i | ||||
\(479\) | −98.0246 | + | 31.8501i | −0.204644 | + | 0.0664930i | −0.409545 | − | 0.912290i | \(-0.634313\pi\) |
0.204901 | + | 0.978783i | \(0.434313\pi\) | |||||||
\(480\) | −102.816 | + | 468.859i | −0.214199 | + | 0.976790i | ||||
\(481\) | 176.032 | − | 541.771i | 0.365971 | − | 1.12634i | ||||
\(482\) | −141.296 | + | 229.301i | −0.293145 | + | 0.475728i | ||||
\(483\) | −420.445 | − | 1046.07i | −0.870486 | − | 2.16578i | ||||
\(484\) | −421.158 | − | 217.217i | −0.870162 | − | 0.448795i | ||||
\(485\) | −150.999 | − | 83.8995i | −0.311338 | − | 0.172989i | ||||
\(486\) | −324.195 | − | 362.069i | −0.667067 | − | 0.744998i | ||||
\(487\) | −14.4276 | + | 91.0920i | −0.0296254 | + | 0.187047i | −0.998063 | − | 0.0622080i | \(-0.980186\pi\) |
0.968438 | + | 0.249255i | \(0.0801858\pi\) | |||||||
\(488\) | −541.323 | + | 326.233i | −1.10927 | + | 0.668511i | ||||
\(489\) | −60.6193 | + | 69.4807i | −0.123966 | + | 0.142087i | ||||
\(490\) | −810.149 | + | 299.695i | −1.65337 | + | 0.611622i | ||||
\(491\) | 722.792 | − | 525.139i | 1.47208 | − | 1.06953i | 0.492078 | − | 0.870551i | \(-0.336238\pi\) |
0.980004 | − | 0.198979i | \(-0.0637625\pi\) | |||||||
\(492\) | 145.050 | − | 164.605i | 0.294816 | − | 0.334564i | ||||
\(493\) | −578.213 | + | 578.213i | −1.17284 | + | 1.17284i | ||||
\(494\) | 386.864 | + | 31.4079i | 0.783125 | + | 0.0635788i | ||||
\(495\) | −69.9608 | − | 15.2090i | −0.141335 | − | 0.0307252i | ||||
\(496\) | −55.8662 | + | 166.332i | −0.112633 | + | 0.335346i | ||||
\(497\) | 877.603 | + | 447.161i | 1.76580 | + | 0.899720i | ||||
\(498\) | −404.561 | + | 125.659i | −0.812372 | + | 0.252327i | ||||
\(499\) | −790.102 | −1.58337 | −0.791686 | − | 0.610929i | \(-0.790796\pi\) | ||||
−0.791686 | + | 0.610929i | \(0.790796\pi\) | |||||||
\(500\) | −311.555 | − | 391.067i | −0.623110 | − | 0.782135i | ||||
\(501\) | −32.2325 | + | 360.910i | −0.0643364 | + | 0.720379i | ||||
\(502\) | −340.348 | + | 139.994i | −0.677985 | + | 0.278872i | ||||
\(503\) | 520.613 | + | 265.266i | 1.03502 | + | 0.527367i | 0.887073 | − | 0.461629i | \(-0.152735\pi\) |
0.147943 | + | 0.988996i | \(0.452735\pi\) | |||||||
\(504\) | −561.984 | + | 621.278i | −1.11505 | + | 1.23269i | ||||
\(505\) | 654.577 | + | 23.5201i | 1.29619 | + | 0.0465744i | ||||
\(506\) | −102.436 | − | 8.31640i | −0.202443 | − | 0.0164356i | ||||
\(507\) | −284.217 | + | 237.613i | −0.560587 | + | 0.468665i | ||||
\(508\) | −8.08530 | + | 11.0137i | −0.0159160 | + | 0.0216805i | ||||
\(509\) | −582.134 | + | 422.945i | −1.14368 | + | 0.830933i | −0.987628 | − | 0.156816i | \(-0.949877\pi\) |
−0.156053 | + | 0.987749i | \(0.549877\pi\) | |||||||
\(510\) | 195.311 | + | 719.000i | 0.382962 | + | 1.40980i | ||||
\(511\) | 881.875 | − | 1213.80i | 1.72578 | − | 2.37533i | ||||
\(512\) | 477.262 | − | 185.377i | 0.932153 | − | 0.362064i | ||||
\(513\) | −126.132 | + | 279.216i | −0.245872 | + | 0.544280i | ||||
\(514\) | 117.836 | − | 282.507i | 0.229253 | − | 0.549624i | ||||
\(515\) | 180.811 | + | 100.464i | 0.351090 | + | 0.195076i | ||||
\(516\) | 128.219 | − | 202.146i | 0.248486 | − | 0.391757i | ||||
\(517\) | 104.391 | − | 53.1899i | 0.201917 | − | 0.102882i | ||||
\(518\) | 406.625 | − | 659.890i | 0.784991 | − | 1.27392i | ||||
\(519\) | −404.551 | − | 172.585i | −0.779482 | − | 0.332533i | ||||
\(520\) | −382.361 | + | 567.255i | −0.735310 | + | 1.09087i | ||||
\(521\) | 458.456 | − | 148.961i | 0.879953 | − | 0.285914i | 0.166015 | − | 0.986123i | \(-0.446910\pi\) |
0.713938 | + | 0.700209i | \(0.246910\pi\) | |||||||
\(522\) | 239.625 | − | 542.060i | 0.459051 | − | 1.03843i | ||||
\(523\) | −67.2483 | − | 424.589i | −0.128582 | − | 0.811834i | −0.964713 | − | 0.263304i | \(-0.915188\pi\) |
0.836131 | − | 0.548530i | \(-0.184812\pi\) | |||||||
\(524\) | −10.9160 | − | 21.6878i | −0.0208320 | − | 0.0413890i | ||||
\(525\) | −133.214 | − | 862.421i | −0.253741 | − | 1.64271i | ||||
\(526\) | 84.9796 | + | 357.855i | 0.161558 | + | 0.680333i | ||||
\(527\) | 42.6055 | + | 269.000i | 0.0808453 | + | 0.510437i | ||||
\(528\) | 27.7789 | + | 71.1364i | 0.0526116 | + | 0.134728i | ||||
\(529\) | 489.019 | − | 158.892i | 0.924421 | − | 0.300363i | ||||
\(530\) | 204.993 | + | 24.0786i | 0.386779 | + | 0.0454313i | ||||
\(531\) | −225.101 | + | 419.689i | −0.423920 | + | 0.790375i | ||||
\(532\) | 501.468 | + | 165.679i | 0.942610 | + | 0.311426i | ||||
\(533\) | 278.599 | − | 141.953i | 0.522700 | − | 0.266329i | ||||
\(534\) | −13.7922 | + | 13.4381i | −0.0258280 | + | 0.0251650i | ||||
\(535\) | 44.8498 | − | 41.7385i | 0.0838314 | − | 0.0780160i | ||||
\(536\) | 545.500 | − | 38.8691i | 1.01772 | − | 0.0725171i | ||||
\(537\) | −13.7137 | + | 54.5826i | −0.0255377 | + | 0.101644i | ||||
\(538\) | −74.2965 | − | 974.785i | −0.138098 | − | 1.81187i | ||||
\(539\) | −80.7800 | + | 111.184i | −0.149870 | + | 0.206279i | ||||
\(540\) | −320.058 | − | 434.929i | −0.592699 | − | 0.805424i | ||||
\(541\) | 191.989 | − | 139.488i | 0.354878 | − | 0.257834i | −0.396035 | − | 0.918236i | \(-0.629614\pi\) |
0.750912 | + | 0.660402i | \(0.229614\pi\) | |||||||
\(542\) | −476.258 | + | 404.734i | −0.878705 | + | 0.746742i | ||||
\(543\) | −89.8135 | − | 107.429i | −0.165402 | − | 0.197844i | ||||
\(544\) | 523.553 | − | 597.898i | 0.962413 | − | 1.09908i | ||||
\(545\) | −477.150 | + | 321.141i | −0.875505 | + | 0.589250i | ||||
\(546\) | −1070.76 | + | 528.160i | −1.96111 | + | 0.967327i | ||||
\(547\) | 28.2304 | + | 14.3841i | 0.0516095 | + | 0.0262964i | 0.479605 | − | 0.877485i | \(-0.340780\pi\) |
−0.427995 | + | 0.903781i | \(0.640780\pi\) | |||||||
\(548\) | −47.7196 | − | 66.3671i | −0.0870796 | − | 0.121108i | ||||
\(549\) | 125.998 | − | 699.778i | 0.229504 | − | 1.27464i | ||||
\(550\) | −75.7600 | − | 24.2614i | −0.137745 | − | 0.0441116i | ||||
\(551\) | −373.626 | −0.678087 | ||||||||
\(552\) | −538.201 | − | 557.865i | −0.975002 | − | 1.01063i | ||||
\(553\) | −1078.38 | − | 549.465i | −1.95006 | − | 0.993607i | ||||
\(554\) | 261.716 | + | 429.459i | 0.472412 | + | 0.775196i | ||||
\(555\) | 364.445 | + | 341.774i | 0.656657 | + | 0.615809i | ||||
\(556\) | −109.340 | + | 16.7648i | −0.196655 | + | 0.0301525i | ||||
\(557\) | −541.820 | + | 541.820i | −0.972747 | + | 0.972747i | −0.999638 | − | 0.0268917i | \(-0.991439\pi\) |
0.0268917 | + | 0.999638i | \(0.491439\pi\) | |||||||
\(558\) | −99.1498 | − | 170.688i | −0.177688 | − | 0.305893i | ||||
\(559\) | 276.006 | − | 200.530i | 0.493749 | − | 0.358730i | ||||
\(560\) | −687.631 | + | 627.374i | −1.22791 | + | 1.12031i | ||||
\(561\) | 89.3213 | + | 77.9295i | 0.159218 | + | 0.138912i | ||||
\(562\) | −507.011 | + | 38.6435i | −0.902154 | + | 0.0687607i | ||||
\(563\) | 162.430 | − | 1025.54i | 0.288508 | − | 1.82157i | −0.237847 | − | 0.971303i | \(-0.576442\pi\) |
0.526355 | − | 0.850265i | \(-0.323558\pi\) | |||||||
\(564\) | 855.968 | + | 219.558i | 1.51767 | + | 0.389288i | ||||
\(565\) | 1.27631 | − | 6.53081i | 0.00225895 | − | 0.0115590i | ||||
\(566\) | −546.392 | + | 636.554i | −0.965356 | + | 1.12465i | ||||
\(567\) | −108.096 | − | 936.241i | −0.190645 | − | 1.65122i | ||||
\(568\) | 674.719 | + | 58.1324i | 1.18789 | + | 0.102346i | ||||
\(569\) | −172.598 | + | 531.203i | −0.303336 | + | 0.933572i | 0.676957 | + | 0.736023i | \(0.263298\pi\) |
−0.980293 | + | 0.197550i | \(0.936702\pi\) | |||||||
\(570\) | −169.197 | + | 295.402i | −0.296837 | + | 0.518249i | ||||
\(571\) | −492.014 | + | 159.865i | −0.861672 | + | 0.279974i | −0.706327 | − | 0.707886i | \(-0.749649\pi\) |
−0.155345 | + | 0.987860i | \(0.549649\pi\) | |||||||
\(572\) | −0.537357 | + | 108.837i | −0.000939435 | + | 0.190275i | ||||
\(573\) | 5.06204 | + | 74.3195i | 0.00883428 | + | 0.129702i | ||||
\(574\) | 413.944 | − | 98.2991i | 0.721157 | − | 0.171253i | ||||
\(575\) | 804.527 | − | 68.7502i | 1.39918 | − | 0.119566i | ||||
\(576\) | −197.529 | + | 541.071i | −0.342932 | + | 0.939360i | ||||
\(577\) | −21.1453 | − | 133.506i | −0.0366469 | − | 0.231380i | 0.962566 | − | 0.271047i | \(-0.0873700\pi\) |
−0.999213 | + | 0.0396678i | \(0.987370\pi\) | |||||||
\(578\) | 154.613 | − | 637.079i | 0.267497 | − | 1.10221i | ||||
\(579\) | −10.5491 | − | 46.0727i | −0.0182195 | − | 0.0795729i | ||||
\(580\) | 322.673 | − | 574.041i | 0.556334 | − | 0.989726i | ||||
\(581\) | −781.298 | − | 253.859i | −1.34475 | − | 0.436935i | ||||
\(582\) | −166.103 | − | 124.012i | −0.285401 | − | 0.213080i | ||||
\(583\) | 29.2594 | − | 14.9084i | 0.0501876 | − | 0.0255719i | ||||
\(584\) | 248.238 | − | 1001.26i | 0.425065 | − | 1.71449i | ||||
\(585\) | −195.749 | − | 744.290i | −0.334614 | − | 1.27229i | ||||
\(586\) | 50.7352 | + | 21.1621i | 0.0865788 | + | 0.0361128i | ||||
\(587\) | −581.251 | − | 92.0611i | −0.990206 | − | 0.156833i | −0.359742 | − | 0.933052i | \(-0.617135\pi\) |
−0.630464 | + | 0.776218i | \(0.717135\pi\) | |||||||
\(588\) | −1011.55 | + | 226.360i | −1.72032 | + | 0.384967i | ||||
\(589\) | −73.1452 | + | 100.676i | −0.124185 | + | 0.170927i | ||||
\(590\) | −293.597 | + | 440.242i | −0.497622 | + | 0.746173i | ||||
\(591\) | 312.220 | − | 186.834i | 0.528290 | − | 0.316132i | ||||
\(592\) | 88.5634 | − | 525.528i | 0.149600 | − | 0.887716i | ||||
\(593\) | −609.750 | − | 609.750i | −1.02825 | − | 1.02825i | −0.999589 | − | 0.0286566i | \(-0.990877\pi\) |
−0.0286566 | − | 0.999589i | \(-0.509123\pi\) | |||||||
\(594\) | −80.7573 | − | 29.3165i | −0.135955 | − | 0.0493544i | ||||
\(595\) | −495.530 | + | 1357.19i | −0.832823 | + | 2.28100i | ||||
\(596\) | 56.4313 | − | 55.8768i | 0.0946835 | − | 0.0937531i | ||||
\(597\) | −356.482 | + | 568.204i | −0.597122 | + | 0.951765i | ||||
\(598\) | −420.248 | − | 1021.69i | −0.702756 | − | 1.70852i | ||||
\(599\) | 116.349i | 0.194239i | 0.995273 | + | 0.0971194i | \(0.0309629\pi\) | ||||
−0.995273 | + | 0.0971194i | \(0.969037\pi\) | |||||||
\(600\) | −307.734 | − | 515.073i | −0.512889 | − | 0.858455i | ||||
\(601\) | 489.642 | 0.814713 | 0.407356 | − | 0.913269i | \(-0.366451\pi\) | ||||
0.407356 | + | 0.913269i | \(0.366451\pi\) | |||||||
\(602\) | 429.313 | − | 176.587i | 0.713145 | − | 0.293334i | ||||
\(603\) | −372.035 | + | 490.014i | −0.616974 | + | 0.812627i | ||||
\(604\) | 536.305 | + | 541.627i | 0.887923 | + | 0.896734i | ||||
\(605\) | 569.562 | − | 162.697i | 0.941424 | − | 0.268921i | ||||
\(606\) | 774.658 | + | 133.040i | 1.27831 | + | 0.219538i | ||||
\(607\) | 645.267 | − | 645.267i | 1.06304 | − | 1.06304i | 0.0651694 | − | 0.997874i | \(-0.479241\pi\) |
0.997874 | − | 0.0651694i | \(-0.0207588\pi\) | |||||||
\(608\) | 362.326 | − | 24.0199i | 0.595931 | − | 0.0395064i | ||||
\(609\) | 986.212 | − | 590.154i | 1.61940 | − | 0.969055i | ||||
\(610\) | 213.774 | − | 760.562i | 0.350449 | − | 1.24682i | ||||
\(611\) | 1018.88 | + | 740.260i | 1.66756 | + | 1.21155i | ||||
\(612\) | 116.856 | + | 886.397i | 0.190941 | + | 1.44836i | ||||
\(613\) | 129.195 | − | 815.705i | 0.210759 | − | 1.33068i | −0.624588 | − | 0.780954i | \(-0.714733\pi\) |
0.835347 | − | 0.549723i | \(-0.185267\pi\) | |||||||
\(614\) | 25.1880 | − | 60.3870i | 0.0410227 | − | 0.0983502i | ||||
\(615\) | 8.79916 | + | 274.103i | 0.0143076 | + | 0.445696i | ||||
\(616\) | −35.6374 | + | 143.742i | −0.0578529 | + | 0.233348i | ||||
\(617\) | 110.391 | + | 216.654i | 0.178915 | + | 0.351141i | 0.962995 | − | 0.269519i | \(-0.0868648\pi\) |
−0.784080 | + | 0.620660i | \(0.786865\pi\) | |||||||
\(618\) | 198.898 | + | 148.497i | 0.321841 | + | 0.240286i | ||||
\(619\) | 39.2837 | − | 120.903i | 0.0634632 | − | 0.195320i | −0.914297 | − | 0.405043i | \(-0.867256\pi\) |
0.977761 | + | 0.209724i | \(0.0672564\pi\) | |||||||
\(620\) | −91.5086 | − | 199.327i | −0.147594 | − | 0.321495i | ||||
\(621\) | 871.095 | − | 40.9202i | 1.40273 | − | 0.0658941i | ||||
\(622\) | −211.365 | − | 51.2964i | −0.339815 | − | 0.0824702i | ||||
\(623\) | −36.8825 | + | 5.84162i | −0.0592015 | + | 0.00937660i | ||||
\(624\) | −545.763 | + | 613.213i | −0.874621 | + | 0.982714i | ||||
\(625\) | 618.561 | + | 89.4821i | 0.989698 | + | 0.143171i | ||||
\(626\) | −59.0583 | − | 248.699i | −0.0943424 | − | 0.397282i | ||||
\(627\) | 3.68053 | + | 54.0365i | 0.00587007 | + | 0.0861827i | ||||
\(628\) | −225.192 | − | 1.11183i | −0.358586 | − | 0.00177043i | ||||
\(629\) | −255.627 | − | 786.738i | −0.406402 | − | 1.25078i | ||||
\(630\) | −19.9885 | − | 1046.99i | −0.0317278 | − | 1.66188i | ||||
\(631\) | −865.105 | − | 281.090i | −1.37101 | − | 0.445467i | −0.471304 | − | 0.881971i | \(-0.656217\pi\) |
−0.899702 | + | 0.436504i | \(0.856217\pi\) | |||||||
\(632\) | −829.085 | − | 71.4322i | −1.31184 | − | 0.113026i | ||||
\(633\) | 236.253 | + | 587.800i | 0.373227 | + | 0.928595i | ||||
\(634\) | 369.499 | + | 317.163i | 0.582806 | + | 0.500257i | ||||
\(635\) | −2.06424 | − | 16.9534i | −0.00325077 | − | 0.0266982i | ||||
\(636\) | 239.916 | + | 61.5391i | 0.377226 | + | 0.0967597i | ||||
\(637\) | −1459.11 | − | 231.100i | −2.29060 | − | 0.362795i | ||||
\(638\) | −7.96226 | − | 104.466i | −0.0124800 | − | 0.163741i | ||||
\(639\) | −549.953 | + | 527.257i | −0.860646 | + | 0.825128i | ||||
\(640\) | −276.010 | + | 577.424i | −0.431266 | + | 0.902225i | ||||
\(641\) | −208.424 | − | 286.871i | −0.325155 | − | 0.447537i | 0.614877 | − | 0.788623i | \(-0.289205\pi\) |
−0.940032 | + | 0.341085i | \(0.889205\pi\) | |||||||
\(642\) | 60.0358 | − | 42.4371i | 0.0935137 | − | 0.0661013i | ||||
\(643\) | 313.408 | + | 313.408i | 0.487415 | + | 0.487415i | 0.907490 | − | 0.420075i | \(-0.137996\pi\) |
−0.420075 | + | 0.907490i | \(0.637996\pi\) | |||||||
\(644\) | −227.820 | − | 1485.84i | −0.353758 | − | 2.30721i | ||||
\(645\) | 56.2677 | + | 293.888i | 0.0872367 | + | 0.455640i | ||||
\(646\) | 481.304 | − | 293.312i | 0.745053 | − | 0.454043i | ||||
\(647\) | 466.094 | − | 914.761i | 0.720393 | − | 1.41385i | −0.182159 | − | 0.983269i | \(-0.558308\pi\) |
0.902552 | − | 0.430582i | \(-0.141692\pi\) | |||||||
\(648\) | −310.805 | − | 568.599i | −0.479637 | − | 0.877467i | ||||
\(649\) | 84.1895i | 0.129722i | ||||||||
\(650\) | −137.348 | − | 844.009i | −0.211304 | − | 1.29848i | ||||
\(651\) | 34.0514 | − | 381.276i | 0.0523063 | − | 0.585678i | ||||
\(652\) | −99.8191 | + | 71.7725i | −0.153097 | + | 0.110081i | ||||
\(653\) | 124.755 | − | 244.846i | 0.191049 | − | 0.374955i | −0.775535 | − | 0.631305i | \(-0.782520\pi\) |
0.966584 | + | 0.256350i | \(0.0825198\pi\) | |||||||
\(654\) | −618.983 | + | 305.317i | −0.946457 | + | 0.466845i | ||||
\(655\) | 28.5092 | + | 10.4091i | 0.0435255 | + | 0.0158918i | ||||
\(656\) | 238.346 | − | 169.598i | 0.363332 | − | 0.258533i | ||||
\(657\) | 662.208 | + | 953.041i | 1.00793 | + | 1.45059i | ||||
\(658\) | 1109.70 | + | 1305.81i | 1.68648 | + | 1.98451i | ||||
\(659\) | −193.444 | − | 266.253i | −0.293542 | − | 0.404026i | 0.636619 | − | 0.771179i | \(-0.280333\pi\) |
−0.930161 | + | 0.367153i | \(0.880333\pi\) | |||||||
\(660\) | −86.2007 | − | 41.0126i | −0.130607 | − | 0.0621404i | ||||
\(661\) | 794.588 | + | 577.302i | 1.20210 | + | 0.873377i | 0.994490 | − | 0.104835i | \(-0.0334314\pi\) |
0.207610 | + | 0.978212i | \(0.433431\pi\) | |||||||
\(662\) | 276.207 | − | 21.0520i | 0.417231 | − | 0.0318006i | ||||
\(663\) | −310.492 | + | 1235.80i | −0.468314 | + | 1.86396i | ||||
\(664\) | −563.408 | + | 40.1452i | −0.848506 | + | 0.0604596i | ||||
\(665\) | −598.590 | + | 278.392i | −0.900136 | + | 0.418634i | ||||
\(666\) | 378.544 | + | 464.942i | 0.568384 | + | 0.698111i | ||||
\(667\) | 482.795 | + | 947.538i | 0.723830 | + | 1.42060i | ||||
\(668\) | −151.562 | + | 458.740i | −0.226889 | + | 0.686736i | ||||
\(669\) | −519.715 | − | 221.714i | −0.776853 | − | 0.331412i | ||||
\(670\) | −463.586 | + | 502.396i | −0.691919 | + | 0.749844i | ||||
\(671\) | −38.8417 | − | 119.542i | −0.0578862 | − | 0.178155i | ||||
\(672\) | −918.445 | + | 635.708i | −1.36673 | + | 0.945994i | ||||
\(673\) | −790.008 | + | 125.125i | −1.17386 | + | 0.185921i | −0.712748 | − | 0.701421i | \(-0.752550\pi\) |
−0.461112 | + | 0.887342i | \(0.652550\pi\) | |||||||
\(674\) | −401.014 | + | 95.2286i | −0.594977 | + | 0.141289i | ||||
\(675\) | 663.855 | + | 122.154i | 0.983489 | + | 0.180968i | ||||
\(676\) | −441.210 | + | 222.071i | −0.652677 | + | 0.328507i | ||||
\(677\) | 115.513 | − | 18.2955i | 0.170625 | − | 0.0270244i | −0.0705372 | − | 0.997509i | \(-0.522471\pi\) |
0.241162 | + | 0.970485i | \(0.422471\pi\) | |||||||
\(678\) | 2.56610 | − | 7.56168i | 0.00378481 | − | 0.0111529i | ||||
\(679\) | −124.219 | − | 382.307i | −0.182944 | − | 0.563045i | ||||
\(680\) | 34.9783 | + | 992.791i | 0.0514387 | + | 1.45999i | ||||
\(681\) | 202.524 | + | 86.3985i | 0.297393 | + | 0.126870i | ||||
\(682\) | −29.7079 | − | 18.3061i | −0.0435600 | − | 0.0268417i | ||||
\(683\) | −41.0475 | − | 80.5603i | −0.0600988 | − | 0.117951i | 0.859003 | − | 0.511970i | \(-0.171084\pi\) |
−0.919102 | + | 0.394020i | \(0.871084\pi\) | |||||||
\(684\) | −248.629 | + | 324.138i | −0.363492 | + | 0.473886i | ||||
\(685\) | 100.280 | + | 19.5976i | 0.146395 | + | 0.0286097i | ||||
\(686\) | −802.829 | − | 334.867i | −1.17030 | − | 0.488144i | ||||
\(687\) | −306.853 | + | 1221.32i | −0.446657 | + | 1.77776i | ||||
\(688\) | 227.908 | − | 223.451i | 0.331262 | − | 0.324783i | ||||
\(689\) | 285.578 | + | 207.485i | 0.414482 | + | 0.301139i | ||||
\(690\) | 967.792 | + | 47.3800i | 1.40260 | + | 0.0686667i | ||||
\(691\) | 116.086 | + | 159.778i | 0.167997 | + | 0.231228i | 0.884712 | − | 0.466139i | \(-0.154355\pi\) |
−0.716715 | + | 0.697366i | \(0.754355\pi\) | |||||||
\(692\) | −472.728 | − | 347.036i | −0.683134 | − | 0.501497i | ||||
\(693\) | −95.0675 | − | 136.820i | −0.137183 | − | 0.197431i | ||||
\(694\) | −85.5300 | + | 1053.51i | −0.123242 | + | 1.51802i | ||||
\(695\) | 85.2388 | − | 108.874i | 0.122646 | − | 0.156653i | ||||
\(696\) | 475.871 | − | 630.865i | 0.683722 | − | 0.906415i | ||||
\(697\) | 206.139 | − | 404.571i | 0.295752 | − | 0.580446i | ||||
\(698\) | −203.659 | − | 495.129i | −0.291774 | − | 0.709354i | ||||
\(699\) | 94.5843 | − | 1059.07i | 0.135314 | − | 1.51512i | ||||
\(700\) | 89.2363 | − | 1160.10i | 0.127480 | − | 1.65729i | ||||
\(701\) | 936.333i | 1.33571i | 0.744291 | + | 0.667855i | \(0.232788\pi\) | ||||
−0.744291 | + | 0.667855i | \(0.767212\pi\) | |||||||
\(702\) | −113.318 | − | 916.542i | −0.161422 | − | 1.30562i | ||||
\(703\) | 171.595 | − | 336.774i | 0.244090 | − | 0.479053i | ||||
\(704\) | 14.4375 | + | 100.795i | 0.0205078 | + | 0.143175i | ||||
\(705\) | −967.607 | + | 532.797i | −1.37249 | + | 0.755740i | ||||
\(706\) | 32.1636 | − | 396.171i | 0.0455575 | − | 0.561149i | ||||
\(707\) | 1077.79 | + | 1077.79i | 1.52445 | + | 1.52445i | ||||
\(708\) | −419.816 | + | 476.416i | −0.592960 | + | 0.672904i | ||||
\(709\) | −213.495 | − | 293.851i | −0.301122 | − | 0.414458i | 0.631465 | − | 0.775404i | \(-0.282454\pi\) |
−0.932587 | + | 0.360946i | \(0.882454\pi\) | |||||||
\(710\) | −664.325 | + | 524.666i | −0.935669 | + | 0.738966i | ||||
\(711\) | 675.773 | − | 647.885i | 0.950455 | − | 0.911231i | ||||
\(712\) | −21.9904 | + | 13.2527i | −0.0308854 | + | 0.0186134i | ||||
\(713\) | 349.837 | + | 55.4088i | 0.490655 | + | 0.0777122i | ||||
\(714\) | −807.142 | + | 1534.45i | −1.13045 | + | 2.14910i | ||||
\(715\) | −92.6841 | − | 99.5929i | −0.129628 | − | 0.139291i | ||||
\(716\) | −34.3965 | + | 66.6909i | −0.0480398 | + | 0.0931437i | ||||
\(717\) | −387.861 | − | 965.005i | −0.540950 | − | 1.34589i | ||||
\(718\) | 1203.84 | + | 741.806i | 1.67665 | + | 1.03316i | ||||
\(719\) | 1292.87 | + | 420.079i | 1.79815 | + | 0.584255i | 0.999838 | − | 0.0179871i | \(-0.00572577\pi\) |
0.798314 | + | 0.602242i | \(0.205726\pi\) | |||||||
\(720\) | −283.285 | − | 661.929i | −0.393451 | − | 0.919346i | ||||
\(721\) | 148.744 | + | 457.788i | 0.206303 | + | 0.634935i | ||||
\(722\) | −451.364 | − | 109.542i | −0.625159 | − | 0.151720i | ||||
\(723\) | −27.4542 | − | 403.074i | −0.0379726 | − | 0.557503i | ||||
\(724\) | −83.9387 | − | 166.769i | −0.115937 | − | 0.230345i | ||||
\(725\) | 197.523 | + | 799.092i | 0.272446 | + | 1.10220i | ||||
\(726\) | 703.447 | − | 102.059i | 0.968936 | − | 0.140577i | ||||
\(727\) | 579.625 | − | 91.8036i | 0.797283 | − | 0.126277i | 0.255515 | − | 0.966805i | \(-0.417755\pi\) |
0.541768 | + | 0.840528i | \(0.317755\pi\) | |||||||
\(728\) | −1550.64 | + | 360.152i | −2.13000 | + | 0.494714i | ||||
\(729\) | 711.385 | + | 159.287i | 0.975837 | + | 0.218500i | ||||
\(730\) | 631.056 | + | 1124.50i | 0.864461 | + | 1.54041i | ||||
\(731\) | 153.094 | − | 471.174i | 0.209431 | − | 0.644562i | ||||
\(732\) | 376.305 | − | 870.158i | 0.514078 | − | 1.18874i | ||||
\(733\) | −210.644 | − | 413.412i | −0.287372 | − | 0.564000i | 0.701517 | − | 0.712652i | \(-0.252506\pi\) |
−0.988889 | + | 0.148653i | \(0.952506\pi\) | |||||||
\(734\) | 414.883 | + | 356.118i | 0.565235 | + | 0.485175i | ||||
\(735\) | 727.572 | − | 1072.15i | 0.989894 | − | 1.45870i | ||||
\(736\) | −529.109 | − | 887.843i | −0.718898 | − | 1.20631i | ||||
\(737\) | −17.0140 | + | 107.422i | −0.0230855 | + | 0.145756i | ||||
\(738\) | −33.5336 | + | 327.380i | −0.0454385 | + | 0.443604i | ||||
\(739\) | 799.186 | + | 580.643i | 1.08144 | + | 0.785714i | 0.977934 | − | 0.208914i | \(-0.0669930\pi\) |
0.103509 | + | 0.994629i | \(0.466993\pi\) | |||||||
\(740\) | 369.228 | + | 554.487i | 0.498957 | + | 0.749307i | ||||
\(741\) | −499.588 | + | 298.956i | −0.674207 | + | 0.403449i | ||||
\(742\) | 311.035 | + | 366.000i | 0.419184 | + | 0.493262i | ||||
\(743\) | 478.664 | − | 478.664i | 0.644231 | − | 0.644231i | −0.307362 | − | 0.951593i | \(-0.599446\pi\) |
0.951593 | + | 0.307362i | \(0.0994461\pi\) | |||||||
\(744\) | −76.8284 | − | 251.731i | −0.103264 | − | 0.338349i | ||||
\(745\) | −3.56459 | + | 99.2045i | −0.00478468 | + | 0.133160i | ||||
\(746\) | 62.3219 | − | 37.9796i | 0.0835414 | − | 0.0509110i | ||||
\(747\) | 384.249 | − | 506.101i | 0.514389 | − | 0.677511i | ||||
\(748\) | 92.2676 | + | 128.323i | 0.123352 | + | 0.171555i | ||||
\(749\) | 142.571 | 0.190349 | ||||||||
\(750\) | 721.240 | + | 205.702i | 0.961653 | + | 0.274269i | ||||
\(751\) | 1034.68i | 1.37774i | 0.724885 | + | 0.688870i | \(0.241893\pi\) | ||||
−0.724885 | + | 0.688870i | \(0.758107\pi\) | |||||||
\(752\) | 1044.48 | + | 545.249i | 1.38894 | + | 0.725065i | ||||
\(753\) | 293.373 | − | 467.613i | 0.389605 | − | 0.621000i | ||||
\(754\) | 961.698 | − | 586.069i | 1.27546 | − | 0.777280i | ||||
\(755\) | −952.164 | − | 34.2129i | −1.26114 | − | 0.0453151i | ||||
\(756\) | 144.287 | − | 1248.30i | 0.190856 | − | 1.65119i | ||||
\(757\) | 324.298 | + | 324.298i | 0.428399 | + | 0.428399i | 0.888083 | − | 0.459684i | \(-0.152037\pi\) |
−0.459684 | + | 0.888083i | \(0.652037\pi\) | |||||||
\(758\) | 87.8339 | + | 103.356i | 0.115876 | + | 0.136353i | ||||
\(759\) | 132.284 | − | 79.1594i | 0.174287 | − | 0.104294i | ||||
\(760\) | −309.457 | + | 332.059i | −0.407180 | + | 0.436920i | ||||
\(761\) | 0.157101 | − | 0.216231i | 0.000206440 | − | 0.000284140i | −0.808914 | − | 0.587927i | \(-0.799944\pi\) |
0.809120 | + | 0.587643i | \(0.199944\pi\) | |||||||
\(762\) | 0.266449 | − | 20.4926i | 0.000349671 | − | 0.0268931i | ||||
\(763\) | −1321.94 | − | 209.376i | −1.73256 | − | 0.274411i | ||||
\(764\) | −16.0216 | + | 98.0215i | −0.0209706 | + | 0.128300i | ||||
\(765\) | −865.265 | − | 707.325i | −1.13107 | − | 0.924608i | ||||
\(766\) | 408.802 | + | 350.899i | 0.533684 | + | 0.458093i | ||||
\(767\) | −806.347 | + | 410.854i | −1.05130 | + | 0.535664i | ||||
\(768\) | −420.921 | + | 642.378i | −0.548075 | + | 0.836429i | ||||
\(769\) | −659.773 | − | 214.373i | −0.857962 | − | 0.278769i | −0.153185 | − | 0.988198i | \(-0.548953\pi\) |
−0.704777 | + | 0.709429i | \(0.748953\pi\) | |||||||
\(770\) | −90.5953 | − | 161.434i | −0.117656 | − | 0.209655i | ||||
\(771\) | 102.477 | + | 447.563i | 0.132914 | + | 0.580497i | ||||
\(772\) | 0.311142 | − | 63.0192i | 0.000403034 | − | 0.0816311i | ||||
\(773\) | 202.993 | + | 1281.65i | 0.262604 | + | 1.65802i | 0.668214 | + | 0.743969i | \(0.267059\pi\) |
−0.405610 | + | 0.914046i | \(0.632941\pi\) | |||||||
\(774\) | 19.7409 | + | 358.528i | 0.0255050 | + | 0.463215i | ||||
\(775\) | 253.990 | + | 103.216i | 0.327729 | + | 0.133181i | ||||
\(776\) | −177.938 | − | 211.490i | −0.229301 | − | 0.272539i | ||||
\(777\) | 79.0086 | + | 1159.98i | 0.101684 | + | 1.49290i | ||||
\(778\) | 276.634 | + | 67.1366i | 0.355571 | + | 0.0862939i | ||||
\(779\) | 197.312 | − | 64.1107i | 0.253289 | − | 0.0822987i | ||||
\(780\) | −27.8596 | − | 1025.76i | −0.0357175 | − | 1.31507i | ||||
\(781\) | −41.6189 | + | 128.090i | −0.0532893 | + | 0.164008i | ||||
\(782\) | −1365.79 | − | 841.604i | −1.74654 | − | 1.07622i | ||||
\(783\) | 180.118 | + | 870.556i | 0.230035 | + | 1.11182i | ||||
\(784\) | −1382.02 | − | 13.6471i | −1.76278 | − | 0.0174070i | ||||
\(785\) | 206.065 | − | 191.770i | 0.262503 | − | 0.244293i | ||||
\(786\) | 32.2328 | + | 16.9548i | 0.0410086 | + | 0.0215710i | ||||
\(787\) | 193.178 | − | 1219.68i | 0.245461 | − | 1.54978i | −0.489704 | − | 0.871889i | \(-0.662895\pi\) |
0.735164 | − | 0.677889i | \(-0.237105\pi\) | |||||||
\(788\) | 462.126 | − | 147.635i | 0.586454 | − | 0.187354i | ||||
\(789\) | −415.726 | − | 362.706i | −0.526903 | − | 0.459703i | ||||
\(790\) | 816.313 | − | 644.701i | 1.03331 | − | 0.816078i | ||||
\(791\) | 12.5277 | − | 9.10192i | 0.0158378 | − | 0.0115068i | ||||
\(792\) | −95.9280 | − | 62.6094i | −0.121121 | − | 0.0790523i | ||||
\(793\) | 955.396 | − | 955.396i | 1.20479 | − | 1.20479i | ||||
\(794\) | −57.2908 | + | 705.672i | −0.0721546 | + | 0.888756i | ||||
\(795\) | −271.207 | + | 149.336i | −0.341141 | + | 0.187844i | ||||
\(796\) | −635.524 | + | 629.280i | −0.798397 | + | 0.790552i | ||||
\(797\) | −685.339 | − | 349.198i | −0.859898 | − | 0.438140i | −0.0323113 | − | 0.999478i | \(-0.510287\pi\) |
−0.827587 | + | 0.561338i | \(0.810287\pi\) | |||||||
\(798\) | −756.539 | + | 234.985i | −0.948044 | + | 0.294467i | ||||
\(799\) | 1828.86 | 2.28893 | ||||||||
\(800\) | −242.922 | − | 762.226i | −0.303652 | − | 0.952783i | ||||
\(801\) | 5.11847 | − | 28.4274i | 0.00639010 | − | 0.0354899i | ||||
\(802\) | 231.171 | + | 562.017i | 0.288244 | + | 0.700770i | ||||
\(803\) | 182.793 | + | 93.1379i | 0.227638 | + | 0.115987i | ||||
\(804\) | −631.946 | + | 523.044i | −0.786003 | + | 0.650553i | ||||
\(805\) | 1479.51 | + | 1158.33i | 1.83790 | + | 1.43892i | ||||
\(806\) | 30.3531 | − | 373.871i | 0.0376589 | − | 0.463860i | ||||
\(807\) | 940.565 | + | 1125.04i | 1.16551 | + | 1.39411i | ||||
\(808\) | 965.228 | + | 408.211i | 1.19459 | + | 0.505212i | ||||
\(809\) | −633.105 | + | 459.977i | −0.782577 | + | 0.568575i | −0.905751 | − | 0.423810i | \(-0.860692\pi\) |
0.123175 | + | 0.992385i | \(0.460692\pi\) | |||||||
\(810\) | 769.860 | + | 251.826i | 0.950444 | + | 0.310896i | ||||
\(811\) | 37.1237 | − | 51.0964i | 0.0457752 | − | 0.0630042i | −0.785516 | − | 0.618842i | \(-0.787602\pi\) |
0.831291 | + | 0.555837i | \(0.187602\pi\) | |||||||
\(812\) | 1459.72 | − | 466.338i | 1.79769 | − | 0.574307i | ||||
\(813\) | 228.446 | − | 909.249i | 0.280992 | − | 1.11839i | ||||
\(814\) | 97.8196 | + | 40.8014i | 0.120172 | + | 0.0501246i | ||||
\(815\) | 29.4757 | − | 150.826i | 0.0361665 | − | 0.185063i | ||||
\(816\) | −117.761 | + | 1186.26i | −0.144315 | + | 1.45375i | ||||
\(817\) | 201.693 | − | 102.768i | 0.246870 | − | 0.125787i | ||||
\(818\) | 265.145 | + | 163.383i | 0.324138 | + | 0.199734i | ||||
\(819\) | 846.487 | − | 1578.23i | 1.03356 | − | 1.92702i | ||||
\(820\) | −71.9044 | + | 358.519i | −0.0876882 | + | 0.437219i | ||||
\(821\) | 1037.82 | − | 337.208i | 1.26409 | − | 0.410729i | 0.401142 | − | 0.916016i | \(-0.368614\pi\) |
0.862951 | + | 0.505288i | \(0.168614\pi\) | |||||||
\(822\) | 116.109 | + | 39.4024i | 0.141252 | + | 0.0479348i | ||||
\(823\) | −83.9477 | − | 530.025i | −0.102002 | − | 0.644016i | −0.984724 | − | 0.174121i | \(-0.944292\pi\) |
0.882722 | − | 0.469895i | \(-0.155708\pi\) | |||||||
\(824\) | 213.069 | + | 253.246i | 0.258579 | + | 0.307337i | ||||
\(825\) | 113.625 | − | 36.4390i | 0.137727 | − | 0.0441685i | ||||
\(826\) | −1198.07 | + | 284.506i | −1.45045 | + | 0.344438i | ||||
\(827\) | −19.0962 | − | 120.569i | −0.0230909 | − | 0.145790i | 0.973449 | − | 0.228903i | \(-0.0735138\pi\) |
−0.996540 | + | 0.0831127i | \(0.973514\pi\) | |||||||
\(828\) | 1143.31 | + | 211.691i | 1.38081 | + | 0.255665i | ||||
\(829\) | −993.683 | + | 322.867i | −1.19865 | + | 0.389466i | −0.839265 | − | 0.543723i | \(-0.817014\pi\) |
−0.359387 | + | 0.933188i | \(0.617014\pi\) | |||||||
\(830\) | 478.805 | − | 518.889i | 0.576874 | − | 0.625167i | ||||
\(831\) | −693.879 | − | 296.014i | −0.834993 | − | 0.356215i | ||||
\(832\) | −894.935 | + | 630.170i | −1.07564 | + | 0.757416i | ||||
\(833\) | −1911.45 | + | 973.935i | −2.29466 | + | 1.16919i | ||||
\(834\) | 118.843 | − | 115.793i | 0.142498 | − | 0.138840i | ||||
\(835\) | −254.671 | − | 547.586i | −0.304995 | − | 0.655792i | ||||
\(836\) | −11.6490 | + | 71.2699i | −0.0139342 | + | 0.0852511i | ||||
\(837\) | 269.839 | + | 121.896i | 0.322388 | + | 0.145635i | ||||
\(838\) | 1433.72 | − | 109.276i | 1.71089 | − | 0.130401i | ||||
\(839\) | 503.459 | − | 692.952i | 0.600071 | − | 0.825927i | −0.395644 | − | 0.918404i | \(-0.629479\pi\) |
0.995715 | + | 0.0924774i | \(0.0294786\pi\) | |||||||
\(840\) | 292.336 | − | 1365.29i | 0.348019 | − | 1.62535i | ||||
\(841\) | −196.674 | + | 142.892i | −0.233857 | + | 0.169907i | ||||
\(842\) | 313.501 | + | 368.903i | 0.372329 | + | 0.438127i | ||||
\(843\) | 585.163 | − | 489.212i | 0.694144 | − | 0.580323i | ||||
\(844\) | 128.015 | + | 834.912i | 0.151676 | + | 0.989232i | ||||
\(845\) | 211.760 | − | 579.982i | 0.250603 | − | 0.686369i | ||||
\(846\) | −1236.22 | + | 478.295i | −1.46125 | + | 0.565360i | ||||
\(847\) | 1228.18 | + | 625.790i | 1.45004 | + | 0.738831i | ||||
\(848\) | 292.755 | + | 152.826i | 0.345229 | + | 0.180219i | ||||
\(849\) | 111.936 | − | 1253.35i | 0.131844 | − | 1.47627i | ||||
\(850\) | −881.770 | − | 874.327i | −1.03738 | − | 1.02862i | ||||
\(851\) | −1075.81 | −1.26418 | ||||||||
\(852\) | −874.243 | + | 517.307i | −1.02611 | + | 0.607167i | ||||
\(853\) | −385.150 | − | 196.244i | −0.451524 | − | 0.230063i | 0.213413 | − | 0.976962i | \(-0.431542\pi\) |
−0.664938 | + | 0.746899i | \(0.731542\pi\) | |||||||
\(854\) | 1569.91 | − | 956.719i | 1.83830 | − | 1.12028i | ||||
\(855\) | −51.0284 | − | 508.083i | −0.0596824 | − | 0.594249i | ||||
\(856\) | 90.8402 | − | 36.8415i | 0.106122 | − | 0.0430391i | ||||
\(857\) | 447.862 | − | 447.862i | 0.522593 | − | 0.522593i | −0.395761 | − | 0.918354i | \(-0.629519\pi\) |
0.918354 | + | 0.395761i | \(0.129519\pi\) | |||||||
\(858\) | −94.2352 | − | 133.315i | −0.109831 | − | 0.155378i | ||||
\(859\) | 173.291 | − | 125.903i | 0.201736 | − | 0.146570i | −0.482331 | − | 0.875989i | \(-0.660210\pi\) |
0.684067 | + | 0.729420i | \(0.260210\pi\) | |||||||
\(860\) | −16.2947 | + | 398.635i | −0.0189473 | + | 0.463529i | ||||
\(861\) | −419.555 | + | 480.886i | −0.487288 | + | 0.558520i | ||||
\(862\) | −111.960 | − | 1468.94i | −0.129885 | − | 1.70411i | ||||
\(863\) | −105.028 | + | 663.122i | −0.121701 | + | 0.768392i | 0.849051 | + | 0.528310i | \(0.177174\pi\) |
−0.970753 | + | 0.240082i | \(0.922826\pi\) | |||||||
\(864\) | −230.637 | − | 832.648i | −0.266941 | − | 0.963713i | ||||
\(865\) | 727.670 | − | 88.6009i | 0.841237 | − | 0.102429i | ||||
\(866\) | −491.821 | − | 422.159i | −0.567922 | − | 0.487481i | ||||
\(867\) | 366.725 | + | 912.418i | 0.422982 | + | 1.05239i | ||||
\(868\) | 160.114 | − | 484.627i | 0.184463 | − | 0.558326i | ||||
\(869\) | 51.1407 | − | 157.395i | 0.0588501 | − | 0.181122i | ||||
\(870\) | 106.631 | + | 981.999i | 0.122564 | + | 1.12873i | ||||
\(871\) | −1111.89 | + | 361.276i | −1.27657 | + | 0.414783i | ||||
\(872\) | −896.389 | + | 208.195i | −1.02797 | + | 0.238756i | ||||
\(873\) | 310.867 | + | 6.54963i | 0.356090 | + | 0.00750244i | ||||
\(874\) | −169.359 | − | 713.181i | −0.193774 | − | 0.815997i | ||||
\(875\) | 911.865 | + | 1133.06i | 1.04213 | + | 1.29492i | ||||
\(876\) | 569.963 | + | 1438.56i | 0.650643 | + | 1.64220i | ||||
\(877\) | 84.7027 | + | 534.792i | 0.0965823 | + | 0.609797i | 0.987741 | + | 0.156104i | \(0.0498935\pi\) |
−0.891158 | + | 0.453692i | \(0.850106\pi\) | |||||||
\(878\) | 76.8665 | + | 18.6548i | 0.0875473 | + | 0.0212470i | ||||
\(879\) | −80.3776 | + | 18.4038i | −0.0914421 | + | 0.0209372i | ||||
\(880\) | −99.4391 | − | 79.4483i | −0.112999 | − | 0.0902821i | ||||
\(881\) | −1195.56 | − | 388.460i | −1.35705 | − | 0.440931i | −0.461990 | − | 0.886885i | \(-0.652864\pi\) |
−0.895056 | + | 0.445955i | \(0.852864\pi\) | |||||||
\(882\) | 1037.34 | − | 1158.23i | 1.17612 | − | 1.31318i | ||||
\(883\) | −1020.71 | + | 520.075i | −1.15595 | + | 0.588987i | −0.923491 | − | 0.383619i | \(-0.874678\pi\) |
−0.232460 | + | 0.972606i | \(0.574678\pi\) | |||||||
\(884\) | −778.770 | + | 1509.95i | −0.880962 | + | 1.70808i | ||||
\(885\) | −25.4673 | − | 793.334i | −0.0287766 | − | 0.896422i | ||||
\(886\) | 561.566 | − | 1346.33i | 0.633821 | − | 1.51956i | ||||
\(887\) | −1632.24 | − | 258.522i | −1.84019 | − | 0.291457i | −0.863216 | − | 0.504835i | \(-0.831553\pi\) |
−0.976970 | + | 0.213378i | \(0.931553\pi\) | |||||||
\(888\) | 350.088 | + | 718.672i | 0.394243 | + | 0.809315i | ||||
\(889\) | 23.3603 | − | 32.1527i | 0.0262771 | − | 0.0361673i | ||||
\(890\) | 8.68425 | − | 30.8967i | 0.00975758 | − | 0.0347153i | ||||
\(891\) | 124.132 | − | 34.6257i | 0.139318 | − | 0.0388616i | ||||
\(892\) | −607.300 | − | 445.827i | −0.680829 | − | 0.499806i | ||||
\(893\) | 590.880 | + | 590.880i | 0.661680 | + | 0.661680i | ||||
\(894\) | −20.1629 | + | 117.403i | −0.0225536 | + | 0.131324i | ||||
\(895\) | −25.7633 | − | 90.1908i | −0.0287858 | − | 0.100772i | ||||
\(896\) | −1385.60 | + | 546.077i | −1.54642 | + | 0.609461i | ||||
\(897\) | 1403.73 | + | 880.678i | 1.56492 | + | 0.981804i | ||||
\(898\) | −789.589 | + | 324.777i | −0.879276 | + | 0.361667i | ||||
\(899\) | 361.078i | 0.401644i | ||||||||
\(900\) | 824.691 | + | 360.394i | 0.916324 | + | 0.400438i | ||||
\(901\) | 512.604 | 0.568928 | ||||||||
\(902\) | 22.1303 | + | 53.8027i | 0.0245347 | + | 0.0596482i | ||||
\(903\) | −370.058 | + | 589.843i | −0.409810 | + | 0.653204i | ||||
\(904\) | 5.63010 | − | 9.03659i | 0.00622799 | − | 0.00999623i | ||||
\(905\) | 219.223 | + | 80.0413i | 0.242235 | + | 0.0884434i | ||||
\(906\) | −1126.84 | − | 193.523i | −1.24375 | − | 0.213602i | ||||
\(907\) | 398.455 | − | 398.455i | 0.439310 | − | 0.439310i | −0.452469 | − | 0.891780i | \(-0.649457\pi\) |
0.891780 | + | 0.452469i | \(0.149457\pi\) | |||||||
\(908\) | 236.655 | + | 173.731i | 0.260633 | + | 0.191334i | ||||
\(909\) | −1061.54 | + | 513.007i | −1.16781 | + | 0.564365i | ||||
\(910\) | 1104.06 | − | 1655.52i | 1.21326 | − | 1.81925i | ||||
\(911\) | −1071.59 | − | 778.553i | −1.17627 | − | 0.854614i | −0.184528 | − | 0.982827i | \(-0.559076\pi\) |
−0.991747 | + | 0.128214i | \(0.959076\pi\) | |||||||
\(912\) | −421.311 | + | 345.217i | −0.461964 | + | 0.378528i | ||||
\(913\) | 17.5725 | − | 110.949i | 0.0192470 | − | 0.121521i | ||||
\(914\) | 1045.47 | + | 436.075i | 1.14384 | + | 0.477106i | ||||
\(915\) | 402.174 | + | 1114.72i | 0.439534 | + | 1.21827i | ||||
\(916\) | −769.644 | + | 1492.25i | −0.840222 | + | 1.62910i | ||||
\(917\) | 32.0637 | + | 62.9286i | 0.0349659 | + | 0.0686244i | ||||
\(918\) | −915.451 | − | 980.050i | −0.997223 | − | 1.06759i | ||||
\(919\) | −232.833 | + | 716.588i | −0.253355 | + | 0.779747i | 0.740794 | + | 0.671732i | \(0.234449\pi\) |
−0.994149 | + | 0.108015i | \(0.965551\pi\) | |||||||
\(920\) | 1242.00 | + | 355.719i | 1.35000 | + | 0.386651i | ||||
\(921\) | 21.9049 | + | 95.6686i | 0.0237838 | + | 0.103875i | ||||
\(922\) | 224.880 | − | 926.610i | 0.243905 | − | 1.00500i | ||||
\(923\) | −1429.92 | + | 226.477i | −1.54921 | + | 0.245371i | ||||
\(924\) | −81.8247 | − | 206.522i | −0.0885549 | − | 0.223509i | ||||
\(925\) | −810.993 | − | 188.958i | −0.876749 | − | 0.204279i | ||||
\(926\) | −826.245 | + | 196.208i | −0.892273 | + | 0.211888i | ||||
\(927\) | −372.242 | − | 7.84275i | −0.401556 | − | 0.00846036i | ||||
\(928\) | 809.566 | − | 674.332i | 0.872377 | − | 0.726651i | ||||
\(929\) | 130.508 | + | 401.664i | 0.140483 | + | 0.432361i | 0.996402 | − | 0.0847473i | \(-0.0270083\pi\) |
−0.855920 | + | 0.517109i | \(0.827008\pi\) | |||||||
\(930\) | 285.481 | + | 163.515i | 0.306969 | + | 0.175822i | ||||
\(931\) | −932.231 | − | 302.900i | −1.00132 | − | 0.325349i | ||||
\(932\) | 444.748 | − | 1346.14i | 0.477198 | − | 1.44436i | ||||
\(933\) | 302.715 | − | 121.669i | 0.324453 | − | 0.130406i | ||||
\(934\) | −223.445 | + | 260.317i | −0.239235 | + | 0.278712i | ||||
\(935\) | −193.896 | − | 37.8927i | −0.207375 | − | 0.0405270i | ||||
\(936\) | 131.518 | − | 1224.32i | 0.140511 | − | 1.30803i | ||||
\(937\) | −634.438 | − | 100.485i | −0.677095 | − | 0.107241i | −0.191590 | − | 0.981475i | \(-0.561364\pi\) |
−0.485505 | + | 0.874234i | \(0.661364\pi\) | |||||||
\(938\) | −1586.19 | + | 120.896i | −1.69103 | + | 0.128887i | ||||
\(939\) | 288.918 | + | 252.070i | 0.307687 | + | 0.268445i | ||||
\(940\) | −1418.13 | + | 397.531i | −1.50865 | + | 0.422906i | ||||
\(941\) | 162.341 | + | 223.443i | 0.172519 | + | 0.237452i | 0.886517 | − | 0.462695i | \(-0.153118\pi\) |
−0.713998 | + | 0.700148i | \(0.753118\pi\) | |||||||
\(942\) | 275.838 | − | 194.980i | 0.292822 | − | 0.206985i | ||||
\(943\) | −417.553 | − | 417.553i | −0.442792 | − | 0.442792i | ||||
\(944\) | −689.842 | + | 490.866i | −0.730765 | + | 0.519985i | ||||
\(945\) | 937.228 | + | 1260.52i | 0.991775 | + | 1.33389i | ||||
\(946\) | 33.0323 | + | 54.2037i | 0.0349178 | + | 0.0572978i | ||||
\(947\) | 499.392 | − | 980.111i | 0.527341 | − | 1.03496i | −0.461660 | − | 0.887057i | \(-0.652746\pi\) |
0.989001 | − | 0.147908i | \(-0.0472539\pi\) | |||||||
\(948\) | 1074.26 | − | 635.658i | 1.13318 | − | 0.670526i | ||||
\(949\) | 2205.28i | 2.32379i | ||||||||
\(950\) | −2.40493 | − | 567.372i | −0.00253150 | − | 0.597233i | ||||
\(951\) | −727.531 | − | 64.9751i | −0.765017 | − | 0.0683230i | ||||
\(952\) | −1514.32 | + | 1746.68i | −1.59067 | + | 1.83475i | ||||
\(953\) | 438.842 | − | 861.275i | 0.460484 | − | 0.903751i | −0.537678 | − | 0.843150i | \(-0.680698\pi\) |
0.998162 | − | 0.0606010i | \(-0.0193017\pi\) | |||||||
\(954\) | −346.494 | + | 134.059i | −0.363202 | + | 0.140524i | ||||
\(955\) | −69.3214 | − | 102.997i | −0.0725878 | − | 0.107851i | ||||
\(956\) | −210.165 | − | 1370.69i | −0.219838 | − | 1.43378i | ||||
\(957\) | 100.799 | + | 120.569i | 0.105328 | + | 0.125987i | ||||
\(958\) | 157.079 | − | 133.489i | 0.163965 | − | 0.139341i | ||||
\(959\) | 139.760 | + | 192.363i | 0.145735 | + | 0.200587i | ||||
\(960\) | −166.537 | − | 945.444i | −0.173477 | − | 0.984838i | ||||
\(961\) | −680.171 | − | 494.173i | −0.707774 | − | 0.514228i | ||||
\(962\) | 86.5846 | + | 1136.01i | 0.0900048 | + | 1.18088i | ||||
\(963\) | −36.2801 | + | 104.141i | −0.0376741 | + | 0.108143i | ||||
\(964\) | 86.8935 | − | 531.623i | 0.0901385 | − | 0.551476i | ||||
\(965\) | 53.6662 | + | 57.6666i | 0.0556127 | + | 0.0597581i | ||||
\(966\) | 1573.53 | + | 1614.99i | 1.62891 | + | 1.67183i | ||||
\(967\) | 271.386 | + | 532.625i | 0.280647 | + | 0.550801i | 0.987700 | − | 0.156359i | \(-0.0499758\pi\) |
−0.707053 | + | 0.707161i | \(0.749976\pi\) | |||||||
\(968\) | 944.252 | + | 81.3547i | 0.975467 | + | 0.0840441i | ||||
\(969\) | −331.751 | + | 777.647i | −0.342364 | + | 0.802525i | ||||
\(970\) | 343.125 | + | 40.3036i | 0.353737 | + | 0.0415502i | ||||
\(971\) | −188.731 | − | 580.853i | −0.194367 | − | 0.598201i | −0.999983 | − | 0.00576307i | \(-0.998166\pi\) |
0.805616 | − | 0.592438i | \(-0.201834\pi\) | |||||||
\(972\) | 875.107 | + | 423.050i | 0.900316 | + | 0.435236i | ||||
\(973\) | 317.806 | − | 50.3356i | 0.326625 | − | 0.0517324i | ||||
\(974\) | −42.6172 | − | 179.464i | −0.0437549 | − | 0.184255i | ||||
\(975\) | 903.506 | + | 910.446i | 0.926673 | + | 0.933791i | ||||
\(976\) | 753.054 | − | 1015.26i | 0.771572 | − | 1.04022i | ||||
\(977\) | 991.672 | − | 157.065i | 1.01502 | − | 0.160763i | 0.373305 | − | 0.927709i | \(-0.378224\pi\) |
0.641712 | + | 0.766946i | \(0.278224\pi\) | |||||||
\(978\) | 59.2630 | − | 174.634i | 0.0605961 | − | 0.178562i | ||||
\(979\) | −1.57788 | − | 4.85622i | −0.00161173 | − | 0.00496039i | ||||
\(980\) | 1270.48 | − | 1170.69i | 1.29641 | − | 1.19458i | ||||
\(981\) | 489.334 | − | 912.336i | 0.498811 | − | 0.930006i | ||||
\(982\) | −937.380 | + | 1521.22i | −0.954562 | + | 1.54911i | ||||
\(983\) | 579.489 | + | 1137.31i | 0.589511 | + | 1.15698i | 0.972429 | + | 0.233198i | \(0.0749192\pi\) |
−0.382918 | + | 0.923782i | \(0.625081\pi\) | |||||||
\(984\) | −143.058 | + | 414.815i | −0.145384 | + | 0.421560i | ||||
\(985\) | −294.533 | + | 530.089i | −0.299018 | + | 0.538161i | ||||
\(986\) | 629.581 | − | 1509.39i | 0.638520 | − | 1.53082i | ||||
\(987\) | −2492.99 | − | 626.356i | −2.52582 | − | 0.634606i | ||||
\(988\) | −739.455 | + | 236.234i | −0.748436 | + | 0.239103i | ||||
\(989\) | −521.250 | − | 378.711i | −0.527048 | − | 0.382923i | ||||
\(990\) | 140.974 | − | 25.0953i | 0.142398 | − | 0.0253488i | ||||
\(991\) | −995.278 | − | 1369.88i | −1.00432 | − | 1.38232i | −0.922639 | − | 0.385664i | \(-0.873972\pi\) |
−0.0816771 | − | 0.996659i | \(-0.526028\pi\) | |||||||
\(992\) | −23.2132 | − | 350.157i | −0.0234004 | − | 0.352981i | ||||
\(993\) | −318.782 | + | 266.511i | −0.321030 | + | 0.268389i | ||||
\(994\) | −1963.45 | − | 159.405i | −1.97530 | − | 0.160367i | ||||
\(995\) | 40.1441 | − | 1117.23i | 0.0403458 | − | 1.12285i | ||||
\(996\) | 652.692 | − | 540.216i | 0.655313 | − | 0.542385i | ||||
\(997\) | −12.1957 | + | 23.9353i | −0.0122324 | + | 0.0240073i | −0.897042 | − | 0.441946i | \(-0.854288\pi\) |
0.884809 | + | 0.465953i | \(0.154288\pi\) | |||||||
\(998\) | 1461.41 | − | 601.112i | 1.46434 | − | 0.602317i | ||||
\(999\) | −867.415 | − | 237.468i | −0.868283 | − | 0.237706i |
(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.287.15 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.102 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.4 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.113 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.113 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.4 | ✓ | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.102 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.15 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.4 | ✓ | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.15 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.102 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.113 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.287.4 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.15 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.102 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.113 | yes | 928 | 12.11 | even | 2 | inner |