Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [440,2,Mod(141,440)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(440, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("440.141");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 440 = 2^{3} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 440.bi (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.51341768894\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 181.1 | ||
Root | \(-0.587785 - 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 440.181 |
Dual form | 440.2.bi.b.141.1 |
$q$-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 \(\left(\mathbb{Z}/440\mathbb{Z}\right)^\times\).
\(n\) | \(111\) | \(177\) | \(221\) | \(321\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.642040 | + | 1.26007i | −0.453990 | + | 0.891007i | ||||
\(3\) | −0.363271 | + | 0.500000i | −0.209735 | + | 0.288675i | −0.900905 | − | 0.434017i | \(-0.857096\pi\) |
0.691170 | + | 0.722692i | \(0.257096\pi\) | |||||||
\(4\) | −1.17557 | − | 1.61803i | −0.587785 | − | 0.809017i | ||||
\(5\) | −0.951057 | − | 0.309017i | −0.425325 | − | 0.138197i | ||||
\(6\) | −0.396802 | − | 0.778768i | −0.161994 | − | 0.317931i | ||||
\(7\) | 0.618034 | − | 0.449028i | 0.233595 | − | 0.169717i | −0.464830 | − | 0.885400i | \(-0.653885\pi\) |
0.698425 | + | 0.715683i | \(0.253885\pi\) | |||||||
\(8\) | 2.79360 | − | 0.442463i | 0.987688 | − | 0.156434i | ||||
\(9\) | 0.809017 | + | 2.48990i | 0.269672 | + | 0.829966i | ||||
\(10\) | 1.00000 | − | 1.00000i | 0.316228 | − | 0.316228i | ||||
\(11\) | 3.21644 | + | 0.809017i | 0.969793 | + | 0.243928i | ||||
\(12\) | 1.23607 | 0.356822 | ||||||||
\(13\) | −0.726543 | + | 0.236068i | −0.201507 | + | 0.0654735i | −0.408031 | − | 0.912968i | \(-0.633785\pi\) |
0.206525 | + | 0.978441i | \(0.433785\pi\) | |||||||
\(14\) | 0.169006 | + | 1.06706i | 0.0451688 | + | 0.285184i | ||||
\(15\) | 0.500000 | − | 0.363271i | 0.129099 | − | 0.0937962i | ||||
\(16\) | −1.23607 | + | 3.80423i | −0.309017 | + | 0.951057i | ||||
\(17\) | −0.118034 | + | 0.363271i | −0.0286274 | + | 0.0881062i | −0.964349 | − | 0.264632i | \(-0.914749\pi\) |
0.935722 | + | 0.352738i | \(0.114749\pi\) | |||||||
\(18\) | −3.65688 | − | 0.579192i | −0.861934 | − | 0.136517i | ||||
\(19\) | −4.75528 | + | 6.54508i | −1.09094 | + | 1.50155i | −0.244057 | + | 0.969761i | \(0.578478\pi\) |
−0.846880 | + | 0.531785i | \(0.821522\pi\) | |||||||
\(20\) | 0.618034 | + | 1.90211i | 0.138197 | + | 0.425325i | ||||
\(21\) | 0.472136i | 0.103029i | ||||||||
\(22\) | −3.08450 | + | 3.53353i | −0.657618 | + | 0.753351i | ||||
\(23\) | −3.23607 | −0.674767 | −0.337383 | − | 0.941367i | \(-0.609542\pi\) | ||||
−0.337383 | + | 0.941367i | \(0.609542\pi\) | |||||||
\(24\) | −0.793604 | + | 1.55754i | −0.161994 | + | 0.317931i | ||||
\(25\) | 0.809017 | + | 0.587785i | 0.161803 | + | 0.117557i | ||||
\(26\) | 0.169006 | − | 1.06706i | 0.0331448 | − | 0.209268i | ||||
\(27\) | −3.30220 | − | 1.07295i | −0.635508 | − | 0.206489i | ||||
\(28\) | −1.45309 | − | 0.472136i | −0.274607 | − | 0.0892253i | ||||
\(29\) | 2.35114 | + | 3.23607i | 0.436596 | + | 0.600923i | 0.969451 | − | 0.245284i | \(-0.0788811\pi\) |
−0.532855 | + | 0.846206i | \(0.678881\pi\) | |||||||
\(30\) | 0.136729 | + | 0.863271i | 0.0249631 | + | 0.157611i | ||||
\(31\) | 0.618034 | + | 1.90211i | 0.111002 | + | 0.341630i | 0.991092 | − | 0.133177i | \(-0.0425179\pi\) |
−0.880090 | + | 0.474807i | \(0.842518\pi\) | |||||||
\(32\) | −4.00000 | − | 4.00000i | −0.707107 | − | 0.707107i | ||||
\(33\) | −1.57295 | + | 1.31433i | −0.273815 | + | 0.228795i | ||||
\(34\) | −0.381966 | − | 0.381966i | −0.0655066 | − | 0.0655066i | ||||
\(35\) | −0.726543 | + | 0.236068i | −0.122808 | + | 0.0399028i | ||||
\(36\) | 3.07768 | − | 4.23607i | 0.512947 | − | 0.706011i | ||||
\(37\) | 4.70228 | + | 6.47214i | 0.773050 | + | 1.06401i | 0.996015 | + | 0.0891861i | \(0.0284266\pi\) |
−0.222965 | + | 0.974827i | \(0.571573\pi\) | |||||||
\(38\) | −5.19421 | − | 10.1942i | −0.842612 | − | 1.65372i | ||||
\(39\) | 0.145898 | − | 0.449028i | 0.0233624 | − | 0.0719020i | ||||
\(40\) | −2.79360 | − | 0.442463i | −0.441708 | − | 0.0699596i | ||||
\(41\) | 5.97214 | + | 4.33901i | 0.932691 | + | 0.677640i | 0.946650 | − | 0.322263i | \(-0.104444\pi\) |
−0.0139593 | + | 0.999903i | \(0.504444\pi\) | |||||||
\(42\) | −0.594926 | − | 0.303130i | −0.0917991 | − | 0.0467740i | ||||
\(43\) | − | 1.85410i | − | 0.282748i | −0.989956 | − | 0.141374i | \(-0.954848\pi\) | ||
0.989956 | − | 0.141374i | \(-0.0451520\pi\) | |||||||
\(44\) | −2.47214 | − | 6.15537i | −0.372689 | − | 0.927957i | ||||
\(45\) | − | 2.61803i | − | 0.390273i | ||||||
\(46\) | 2.07768 | − | 4.07768i | 0.306338 | − | 0.601222i | ||||
\(47\) | −8.85410 | − | 6.43288i | −1.29150 | − | 0.938332i | −0.291669 | − | 0.956519i | \(-0.594211\pi\) |
−0.999835 | + | 0.0181871i | \(0.994211\pi\) | |||||||
\(48\) | −1.45309 | − | 2.00000i | −0.209735 | − | 0.288675i | ||||
\(49\) | −1.98278 | + | 6.10237i | −0.283254 | + | 0.871767i | ||||
\(50\) | −1.26007 | + | 0.642040i | −0.178201 | + | 0.0907981i | ||||
\(51\) | −0.138757 | − | 0.190983i | −0.0194299 | − | 0.0267430i | ||||
\(52\) | 1.23607 | + | 0.898056i | 0.171412 | + | 0.124538i | ||||
\(53\) | 2.62866 | − | 0.854102i | 0.361074 | − | 0.117320i | −0.122861 | − | 0.992424i | \(-0.539207\pi\) |
0.483935 | + | 0.875104i | \(0.339207\pi\) | |||||||
\(54\) | 3.47214 | − | 3.47214i | 0.472498 | − | 0.472498i | ||||
\(55\) | −2.80902 | − | 1.76336i | −0.378768 | − | 0.237771i | ||||
\(56\) | 1.52786 | − | 1.52786i | 0.204169 | − | 0.204169i | ||||
\(57\) | −1.54508 | − | 4.75528i | −0.204652 | − | 0.629853i | ||||
\(58\) | −5.58721 | + | 0.884927i | −0.733636 | + | 0.116197i | ||||
\(59\) | 0.951057 | + | 1.30902i | 0.123817 | + | 0.170419i | 0.866426 | − | 0.499306i | \(-0.166412\pi\) |
−0.742609 | + | 0.669726i | \(0.766412\pi\) | |||||||
\(60\) | −1.17557 | − | 0.381966i | −0.151765 | − | 0.0493116i | ||||
\(61\) | 4.25325 | + | 1.38197i | 0.544573 | + | 0.176943i | 0.568368 | − | 0.822774i | \(-0.307575\pi\) |
−0.0237949 | + | 0.999717i | \(0.507575\pi\) | |||||||
\(62\) | −2.79360 | − | 0.442463i | −0.354788 | − | 0.0561929i | ||||
\(63\) | 1.61803 | + | 1.17557i | 0.203853 | + | 0.148108i | ||||
\(64\) | 7.60845 | − | 2.47214i | 0.951057 | − | 0.309017i | ||||
\(65\) | 0.763932 | 0.0947541 | ||||||||
\(66\) | −0.646254 | − | 2.82588i | −0.0795484 | − | 0.347842i | ||||
\(67\) | 13.3262i | 1.62806i | 0.580823 | + | 0.814030i | \(0.302731\pi\) | ||||
−0.580823 | + | 0.814030i | \(0.697269\pi\) | |||||||
\(68\) | 0.726543 | − | 0.236068i | 0.0881062 | − | 0.0286274i | ||||
\(69\) | 1.17557 | − | 1.61803i | 0.141522 | − | 0.194788i | ||||
\(70\) | 0.169006 | − | 1.06706i | 0.0202001 | − | 0.127538i | ||||
\(71\) | 3.38197 | − | 10.4086i | 0.401366 | − | 1.23528i | −0.522527 | − | 0.852623i | \(-0.675010\pi\) |
0.923892 | − | 0.382653i | \(-0.124990\pi\) | |||||||
\(72\) | 3.36176 | + | 6.59783i | 0.396188 | + | 0.777562i | ||||
\(73\) | 6.35410 | − | 4.61653i | 0.743691 | − | 0.540323i | −0.150174 | − | 0.988660i | \(-0.547983\pi\) |
0.893865 | + | 0.448336i | \(0.147983\pi\) | |||||||
\(74\) | −11.1744 | + | 1.76985i | −1.29900 | + | 0.205741i | ||||
\(75\) | −0.587785 | + | 0.190983i | −0.0678716 | + | 0.0220528i | ||||
\(76\) | 16.1803 | 1.85601 | ||||||||
\(77\) | 2.35114 | − | 0.944272i | 0.267937 | − | 0.107610i | ||||
\(78\) | 0.472136 | + | 0.472136i | 0.0534589 | + | 0.0534589i | ||||
\(79\) | 0.708204 | + | 2.17963i | 0.0796792 | + | 0.245227i | 0.982959 | − | 0.183824i | \(-0.0588478\pi\) |
−0.903280 | + | 0.429052i | \(0.858848\pi\) | |||||||
\(80\) | 2.35114 | − | 3.23607i | 0.262866 | − | 0.361803i | ||||
\(81\) | −4.61803 | + | 3.35520i | −0.513115 | + | 0.372800i | ||||
\(82\) | −9.30182 | + | 4.73951i | −1.02721 | + | 0.523392i | ||||
\(83\) | −4.39201 | − | 1.42705i | −0.482086 | − | 0.156639i | 0.0578844 | − | 0.998323i | \(-0.481565\pi\) |
−0.539970 | + | 0.841684i | \(0.681565\pi\) | |||||||
\(84\) | 0.763932 | − | 0.555029i | 0.0833518 | − | 0.0605586i | ||||
\(85\) | 0.224514 | − | 0.309017i | 0.0243520 | − | 0.0335176i | ||||
\(86\) | 2.33630 | + | 1.19041i | 0.251930 | + | 0.128365i | ||||
\(87\) | −2.47214 | −0.265041 | ||||||||
\(88\) | 9.34342 | + | 0.836916i | 0.996012 | + | 0.0892155i | ||||
\(89\) | −5.56231 | −0.589603 | −0.294802 | − | 0.955558i | \(-0.595254\pi\) | ||||
−0.294802 | + | 0.955558i | \(0.595254\pi\) | |||||||
\(90\) | 3.29892 | + | 1.68088i | 0.347736 | + | 0.177180i | ||||
\(91\) | −0.343027 | + | 0.472136i | −0.0359590 | + | 0.0494933i | ||||
\(92\) | 3.80423 | + | 5.23607i | 0.396618 | + | 0.545898i | ||||
\(93\) | −1.17557 | − | 0.381966i | −0.121901 | − | 0.0396080i | ||||
\(94\) | 13.7906 | − | 7.02666i | 1.42239 | − | 0.724744i | ||||
\(95\) | 6.54508 | − | 4.75528i | 0.671512 | − | 0.487882i | ||||
\(96\) | 3.45309 | − | 0.546915i | 0.352429 | − | 0.0558193i | ||||
\(97\) | −0.899187 | − | 2.76741i | −0.0912986 | − | 0.280988i | 0.894973 | − | 0.446121i | \(-0.147195\pi\) |
−0.986271 | + | 0.165133i | \(0.947195\pi\) | |||||||
\(98\) | −6.41641 | − | 6.41641i | −0.648155 | − | 0.648155i | ||||
\(99\) | 0.587785 | + | 8.66312i | 0.0590746 | + | 0.870676i | ||||
\(100\) | − | 2.00000i | − | 0.200000i | ||||||
\(101\) | 13.4863 | − | 4.38197i | 1.34194 | − | 0.436022i | 0.451965 | − | 0.892036i | \(-0.350723\pi\) |
0.889973 | + | 0.456014i | \(0.150723\pi\) | |||||||
\(102\) | 0.329740 | − | 0.0522257i | 0.0326492 | − | 0.00517112i | ||||
\(103\) | −9.47214 | + | 6.88191i | −0.933317 | + | 0.678095i | −0.946803 | − | 0.321814i | \(-0.895707\pi\) |
0.0134855 | + | 0.999909i | \(0.495707\pi\) | |||||||
\(104\) | −1.92522 | + | 0.980949i | −0.188783 | + | 0.0961900i | ||||
\(105\) | 0.145898 | − | 0.449028i | 0.0142382 | − | 0.0438206i | ||||
\(106\) | −0.611469 | + | 3.86067i | −0.0593912 | + | 0.374981i | ||||
\(107\) | 1.26133 | − | 1.73607i | 0.121937 | − | 0.167832i | −0.743685 | − | 0.668531i | \(-0.766924\pi\) |
0.865622 | + | 0.500699i | \(0.166924\pi\) | |||||||
\(108\) | 2.14590 | + | 6.60440i | 0.206489 | + | 0.635508i | ||||
\(109\) | − | 16.4721i | − | 1.57774i | −0.614557 | − | 0.788872i | \(-0.710665\pi\) | ||
0.614557 | − | 0.788872i | \(-0.289335\pi\) | |||||||
\(110\) | 4.02546 | − | 2.40742i | 0.383812 | − | 0.229539i | ||||
\(111\) | −4.94427 | −0.469290 | ||||||||
\(112\) | 0.944272 | + | 2.90617i | 0.0892253 | + | 0.274607i | ||||
\(113\) | 13.3992 | + | 9.73508i | 1.26049 | + | 0.915799i | 0.998782 | − | 0.0493479i | \(-0.0157143\pi\) |
0.261708 | + | 0.965147i | \(0.415714\pi\) | |||||||
\(114\) | 6.98401 | + | 1.10616i | 0.654113 | + | 0.103601i | ||||
\(115\) | 3.07768 | + | 1.00000i | 0.286995 | + | 0.0932505i | ||||
\(116\) | 2.47214 | − | 7.60845i | 0.229532 | − | 0.706427i | ||||
\(117\) | −1.17557 | − | 1.61803i | −0.108682 | − | 0.149587i | ||||
\(118\) | −2.26007 | + | 0.357960i | −0.208057 | + | 0.0329529i | ||||
\(119\) | 0.0901699 | + | 0.277515i | 0.00826587 | + | 0.0254397i | ||||
\(120\) | 1.23607 | − | 1.23607i | 0.112837 | − | 0.112837i | ||||
\(121\) | 9.69098 | + | 5.20431i | 0.880998 | + | 0.473119i | ||||
\(122\) | −4.47214 | + | 4.47214i | −0.404888 | + | 0.404888i | ||||
\(123\) | −4.33901 | + | 1.40983i | −0.391235 | + | 0.127120i | ||||
\(124\) | 2.35114 | − | 3.23607i | 0.211139 | − | 0.290607i | ||||
\(125\) | −0.587785 | − | 0.809017i | −0.0525731 | − | 0.0723607i | ||||
\(126\) | −2.52015 | + | 1.28408i | −0.224513 | + | 0.114395i | ||||
\(127\) | 5.47214 | − | 16.8415i | 0.485574 | − | 1.49444i | −0.345575 | − | 0.938391i | \(-0.612316\pi\) |
0.831148 | − | 0.556051i | \(-0.187684\pi\) | |||||||
\(128\) | −1.76985 | + | 11.1744i | −0.156434 | + | 0.987688i | ||||
\(129\) | 0.927051 | + | 0.673542i | 0.0816223 | + | 0.0593021i | ||||
\(130\) | −0.490475 | + | 0.962611i | −0.0430175 | + | 0.0844265i | ||||
\(131\) | − | 15.3262i | − | 1.33906i | −0.742785 | − | 0.669530i | \(-0.766496\pi\) | ||
0.742785 | − | 0.669530i | \(-0.233504\pi\) | |||||||
\(132\) | 3.97574 | + | 1.00000i | 0.346044 | + | 0.0870388i | ||||
\(133\) | 6.18034i | 0.535903i | ||||||||
\(134\) | −16.7920 | − | 8.55597i | −1.45061 | − | 0.739123i | ||||
\(135\) | 2.80902 | + | 2.04087i | 0.241762 | + | 0.175650i | ||||
\(136\) | −0.169006 | + | 1.06706i | −0.0144921 | + | 0.0914998i | ||||
\(137\) | 4.89919 | − | 15.0781i | 0.418566 | − | 1.28821i | −0.490457 | − | 0.871466i | \(-0.663170\pi\) |
0.909022 | − | 0.416747i | \(-0.136830\pi\) | |||||||
\(138\) | 1.28408 | + | 2.52015i | 0.109308 | + | 0.214529i | ||||
\(139\) | 0.898056 | + | 1.23607i | 0.0761721 | + | 0.104842i | 0.845403 | − | 0.534129i | \(-0.179360\pi\) |
−0.769231 | + | 0.638971i | \(0.779360\pi\) | |||||||
\(140\) | 1.23607 | + | 0.898056i | 0.104467 | + | 0.0758996i | ||||
\(141\) | 6.43288 | − | 2.09017i | 0.541746 | − | 0.176024i | ||||
\(142\) | 10.9443 | + | 10.9443i | 0.918423 | + | 0.918423i | ||||
\(143\) | −2.52786 | + | 0.171513i | −0.211391 | + | 0.0143427i | ||||
\(144\) | −10.4721 | −0.872678 | ||||||||
\(145\) | −1.23607 | − | 3.80423i | −0.102650 | − | 0.315924i | ||||
\(146\) | 1.73758 | + | 10.9706i | 0.143803 | + | 0.907936i | ||||
\(147\) | −2.33090 | − | 3.20820i | −0.192249 | − | 0.264608i | ||||
\(148\) | 4.94427 | − | 15.2169i | 0.406417 | − | 1.25082i | ||||
\(149\) | −6.43288 | − | 2.09017i | −0.527002 | − | 0.171233i | 0.0334186 | − | 0.999441i | \(-0.489361\pi\) |
−0.560421 | + | 0.828208i | \(0.689361\pi\) | |||||||
\(150\) | 0.136729 | − | 0.863271i | 0.0111639 | − | 0.0704858i | ||||
\(151\) | 11.2361 | + | 8.16348i | 0.914378 | + | 0.664335i | 0.942118 | − | 0.335280i | \(-0.108831\pi\) |
−0.0277401 | + | 0.999615i | \(0.508831\pi\) | |||||||
\(152\) | −10.3884 | + | 20.3884i | −0.842612 | + | 1.65372i | ||||
\(153\) | −1.00000 | −0.0808452 | ||||||||
\(154\) | −0.319673 | + | 3.56887i | −0.0257600 | + | 0.287588i | ||||
\(155\) | − | 2.00000i | − | 0.160644i | ||||||
\(156\) | −0.898056 | + | 0.291796i | −0.0719020 | + | 0.0233624i | ||||
\(157\) | −5.70634 | + | 7.85410i | −0.455415 | + | 0.626826i | −0.973550 | − | 0.228473i | \(-0.926627\pi\) |
0.518135 | + | 0.855299i | \(0.326627\pi\) | |||||||
\(158\) | −3.20119 | − | 0.507018i | −0.254673 | − | 0.0403362i | ||||
\(159\) | −0.527864 | + | 1.62460i | −0.0418623 | + | 0.128839i | ||||
\(160\) | 2.56816 | + | 5.04029i | 0.203031 | + | 0.398470i | ||||
\(161\) | −2.00000 | + | 1.45309i | −0.157622 | + | 0.114519i | ||||
\(162\) | −1.26284 | − | 7.97323i | −0.0992178 | − | 0.626436i | ||||
\(163\) | 4.16750 | − | 1.35410i | 0.326424 | − | 0.106061i | −0.141221 | − | 0.989978i | \(-0.545103\pi\) |
0.467644 | + | 0.883917i | \(0.345103\pi\) | |||||||
\(164\) | − | 14.7639i | − | 1.15287i | ||||||
\(165\) | 1.90211 | − | 0.763932i | 0.148079 | − | 0.0594720i | ||||
\(166\) | 4.61803 | − | 4.61803i | 0.358429 | − | 0.358429i | ||||
\(167\) | −1.70820 | − | 5.25731i | −0.132185 | − | 0.406823i | 0.862957 | − | 0.505278i | \(-0.168610\pi\) |
−0.995142 | + | 0.0984549i | \(0.968610\pi\) | |||||||
\(168\) | 0.208903 | + | 1.31896i | 0.0161172 | + | 0.101760i | ||||
\(169\) | −10.0451 | + | 7.29818i | −0.772699 | + | 0.561399i | ||||
\(170\) | 0.245237 | + | 0.481305i | 0.0188088 | + | 0.0369144i | ||||
\(171\) | −20.1437 | − | 6.54508i | −1.54043 | − | 0.500515i | ||||
\(172\) | −3.00000 | + | 2.17963i | −0.228748 | + | 0.166195i | ||||
\(173\) | 5.42882 | − | 7.47214i | 0.412746 | − | 0.568096i | −0.551140 | − | 0.834413i | \(-0.685807\pi\) |
0.963885 | + | 0.266317i | \(0.0858068\pi\) | |||||||
\(174\) | 1.58721 | − | 3.11507i | 0.120326 | − | 0.236153i | ||||
\(175\) | 0.763932 | 0.0577478 | ||||||||
\(176\) | −7.05342 | + | 11.2361i | −0.531672 | + | 0.846950i | ||||
\(177\) | −1.00000 | −0.0751646 | ||||||||
\(178\) | 3.57122 | − | 7.00891i | 0.267674 | − | 0.525340i | ||||
\(179\) | 4.20025 | − | 5.78115i | 0.313942 | − | 0.432104i | −0.622664 | − | 0.782490i | \(-0.713950\pi\) |
0.936605 | + | 0.350386i | \(0.113950\pi\) | |||||||
\(180\) | −4.23607 | + | 3.07768i | −0.315738 | + | 0.229397i | ||||
\(181\) | −19.0211 | − | 6.18034i | −1.41383 | − | 0.459381i | −0.500193 | − | 0.865914i | \(-0.666738\pi\) |
−0.913636 | + | 0.406533i | \(0.866738\pi\) | |||||||
\(182\) | −0.374689 | − | 0.735369i | −0.0277738 | − | 0.0545092i | ||||
\(183\) | −2.23607 | + | 1.62460i | −0.165295 | + | 0.120094i | ||||
\(184\) | −9.04029 | + | 1.43184i | −0.666459 | + | 0.105557i | ||||
\(185\) | −2.47214 | − | 7.60845i | −0.181755 | − | 0.559385i | ||||
\(186\) | 1.23607 | − | 1.23607i | 0.0906329 | − | 0.0906329i | ||||
\(187\) | −0.673542 | + | 1.07295i | −0.0492543 | + | 0.0784618i | ||||
\(188\) | 21.8885i | 1.59639i | ||||||||
\(189\) | −2.52265 | + | 0.819660i | −0.183496 | + | 0.0596215i | ||||
\(190\) | 1.78980 | + | 11.3004i | 0.129846 | + | 0.819815i | ||||
\(191\) | −9.85410 | + | 7.15942i | −0.713018 | + | 0.518038i | −0.884146 | − | 0.467211i | \(-0.845259\pi\) |
0.171128 | + | 0.985249i | \(0.445259\pi\) | |||||||
\(192\) | −1.52786 | + | 4.70228i | −0.110264 | + | 0.339358i | ||||
\(193\) | −1.85410 | + | 5.70634i | −0.133461 | + | 0.410751i | −0.995347 | − | 0.0963503i | \(-0.969283\pi\) |
0.861886 | + | 0.507102i | \(0.169283\pi\) | |||||||
\(194\) | 4.06446 | + | 0.643747i | 0.291811 | + | 0.0462183i | ||||
\(195\) | −0.277515 | + | 0.381966i | −0.0198732 | + | 0.0273532i | ||||
\(196\) | 12.2047 | − | 3.96556i | 0.871767 | − | 0.283254i | ||||
\(197\) | − | 14.9443i | − | 1.06474i | −0.846513 | − | 0.532368i | \(-0.821302\pi\) | ||
0.846513 | − | 0.532368i | \(-0.178698\pi\) | |||||||
\(198\) | −11.2935 | − | 4.82141i | −0.802598 | − | 0.342643i | ||||
\(199\) | 8.65248 | 0.613358 | 0.306679 | − | 0.951813i | \(-0.400782\pi\) | ||||
0.306679 | + | 0.951813i | \(0.400782\pi\) | |||||||
\(200\) | 2.52015 | + | 1.28408i | 0.178201 | + | 0.0907981i | ||||
\(201\) | −6.66312 | − | 4.84104i | −0.469980 | − | 0.341461i | ||||
\(202\) | −3.13714 | + | 19.8071i | −0.220728 | + | 1.39362i | ||||
\(203\) | 2.90617 | + | 0.944272i | 0.203973 | + | 0.0662749i | ||||
\(204\) | −0.145898 | + | 0.449028i | −0.0102149 | + | 0.0314382i | ||||
\(205\) | −4.33901 | − | 5.97214i | −0.303050 | − | 0.417112i | ||||
\(206\) | −2.59023 | − | 16.3540i | −0.180470 | − | 1.13944i | ||||
\(207\) | −2.61803 | − | 8.05748i | −0.181966 | − | 0.560034i | ||||
\(208\) | − | 3.05573i | − | 0.211877i | ||||||
\(209\) | −20.5902 | + | 17.2048i | −1.42425 | + | 1.19008i | ||||
\(210\) | 0.472136 | + | 0.472136i | 0.0325805 | + | 0.0325805i | ||||
\(211\) | −7.74721 | + | 2.51722i | −0.533340 | + | 0.173293i | −0.563291 | − | 0.826259i | \(-0.690465\pi\) |
0.0299509 | + | 0.999551i | \(0.490465\pi\) | |||||||
\(212\) | −4.47214 | − | 3.24920i | −0.307148 | − | 0.223156i | ||||
\(213\) | 3.97574 | + | 5.47214i | 0.272413 | + | 0.374945i | ||||
\(214\) | 1.37775 | + | 2.70399i | 0.0941811 | + | 0.184841i | ||||
\(215\) | −0.572949 | + | 1.76336i | −0.0390748 | + | 0.120260i | ||||
\(216\) | −9.69977 | − | 1.53629i | −0.659986 | − | 0.104532i | ||||
\(217\) | 1.23607 | + | 0.898056i | 0.0839098 | + | 0.0609640i | ||||
\(218\) | 20.7561 | + | 10.5758i | 1.40578 | + | 0.716281i | ||||
\(219\) | 4.85410i | 0.328010i | ||||||||
\(220\) | 0.449028 | + | 6.61803i | 0.0302735 | + | 0.446188i | ||||
\(221\) | − | 0.291796i | − | 0.0196283i | ||||||
\(222\) | 3.17442 | − | 6.23015i | 0.213053 | − | 0.418140i | ||||
\(223\) | 2.00000 | + | 1.45309i | 0.133930 | + | 0.0973058i | 0.652733 | − | 0.757588i | \(-0.273622\pi\) |
−0.518803 | + | 0.854894i | \(0.673622\pi\) | |||||||
\(224\) | −4.26825 | − | 0.676024i | −0.285184 | − | 0.0451688i | ||||
\(225\) | −0.809017 | + | 2.48990i | −0.0539345 | + | 0.165993i | ||||
\(226\) | −20.8697 | + | 10.6337i | −1.38823 | + | 0.707340i | ||||
\(227\) | −12.1922 | − | 16.7812i | −0.809226 | − | 1.11380i | −0.991442 | − | 0.130546i | \(-0.958327\pi\) |
0.182216 | − | 0.983259i | \(-0.441673\pi\) | |||||||
\(228\) | −5.87785 | + | 8.09017i | −0.389270 | + | 0.535785i | ||||
\(229\) | −4.42477 | + | 1.43769i | −0.292397 | + | 0.0950055i | −0.451542 | − | 0.892250i | \(-0.649126\pi\) |
0.159146 | + | 0.987255i | \(0.449126\pi\) | |||||||
\(230\) | −3.23607 | + | 3.23607i | −0.213380 | + | 0.213380i | ||||
\(231\) | −0.381966 | + | 1.51860i | −0.0251315 | + | 0.0999164i | ||||
\(232\) | 8.00000 | + | 8.00000i | 0.525226 | + | 0.525226i | ||||
\(233\) | 0.0450850 | + | 0.138757i | 0.00295361 | + | 0.00909029i | 0.952522 | − | 0.304468i | \(-0.0984788\pi\) |
−0.949569 | + | 0.313559i | \(0.898479\pi\) | |||||||
\(234\) | 2.79360 | − | 0.442463i | 0.182624 | − | 0.0289247i | ||||
\(235\) | 6.43288 | + | 8.85410i | 0.419635 | + | 0.577578i | ||||
\(236\) | 1.00000 | − | 3.07768i | 0.0650945 | − | 0.200340i | ||||
\(237\) | −1.34708 | − | 0.437694i | −0.0875025 | − | 0.0284313i | ||||
\(238\) | −0.407581 | − | 0.0645546i | −0.0264196 | − | 0.00418445i | ||||
\(239\) | 21.5623 | + | 15.6659i | 1.39475 | + | 1.01334i | 0.995325 | + | 0.0965787i | \(0.0307900\pi\) |
0.399424 | + | 0.916766i | \(0.369210\pi\) | |||||||
\(240\) | 0.763932 | + | 2.35114i | 0.0493116 | + | 0.151765i | ||||
\(241\) | 21.9787 | 1.41577 | 0.707887 | − | 0.706326i | \(-0.249649\pi\) | ||||
0.707887 | + | 0.706326i | \(0.249649\pi\) | |||||||
\(242\) | −12.7798 | + | 8.86998i | −0.821517 | + | 0.570184i | ||||
\(243\) | − | 13.9443i | − | 0.894525i | ||||||
\(244\) | −2.76393 | − | 8.50651i | −0.176943 | − | 0.544573i | ||||
\(245\) | 3.77147 | − | 5.19098i | 0.240950 | − | 0.331640i | ||||
\(246\) | 1.00933 | − | 6.37264i | 0.0643523 | − | 0.406305i | ||||
\(247\) | 1.90983 | − | 5.87785i | 0.121520 | − | 0.373999i | ||||
\(248\) | 2.56816 | + | 5.04029i | 0.163078 | + | 0.320059i | ||||
\(249\) | 2.30902 | − | 1.67760i | 0.146328 | − | 0.106314i | ||||
\(250\) | 1.39680 | − | 0.221232i | 0.0883415 | − | 0.0139919i | ||||
\(251\) | 11.4127 | − | 3.70820i | 0.720362 | − | 0.234060i | 0.0741818 | − | 0.997245i | \(-0.476365\pi\) |
0.646180 | + | 0.763185i | \(0.276365\pi\) | |||||||
\(252\) | − | 4.00000i | − | 0.251976i | ||||||
\(253\) | −10.4086 | − | 2.61803i | −0.654384 | − | 0.164594i | ||||
\(254\) | 17.7082 | + | 17.7082i | 1.11111 | + | 1.11111i | ||||
\(255\) | 0.0729490 | + | 0.224514i | 0.00456824 | + | 0.0140596i | ||||
\(256\) | −12.9443 | − | 9.40456i | −0.809017 | − | 0.587785i | ||||
\(257\) | −13.5902 | + | 9.87384i | −0.847732 | + | 0.615913i | −0.924520 | − | 0.381134i | \(-0.875533\pi\) |
0.0767881 | + | 0.997047i | \(0.475533\pi\) | |||||||
\(258\) | −1.44392 | + | 0.735712i | −0.0898943 | + | 0.0458034i | ||||
\(259\) | 5.81234 | + | 1.88854i | 0.361161 | + | 0.117348i | ||||
\(260\) | −0.898056 | − | 1.23607i | −0.0556951 | − | 0.0766577i | ||||
\(261\) | −6.15537 | + | 8.47214i | −0.381008 | + | 0.524412i | ||||
\(262\) | 19.3122 | + | 9.84005i | 1.19311 | + | 0.607920i | ||||
\(263\) | −24.7639 | −1.52701 | −0.763505 | − | 0.645802i | \(-0.776523\pi\) | ||||
−0.763505 | + | 0.645802i | \(0.776523\pi\) | |||||||
\(264\) | −3.81266 | + | 4.36768i | −0.234653 | + | 0.268812i | ||||
\(265\) | −2.76393 | −0.169787 | ||||||||
\(266\) | −7.78768 | − | 3.96802i | −0.477493 | − | 0.243295i | ||||
\(267\) | 2.02063 | − | 2.78115i | 0.123660 | − | 0.170204i | ||||
\(268\) | 21.5623 | − | 15.6659i | 1.31713 | − | 0.956949i | ||||
\(269\) | −13.2088 | − | 4.29180i | −0.805354 | − | 0.261675i | −0.122725 | − | 0.992441i | \(-0.539163\pi\) |
−0.682629 | + | 0.730765i | \(0.739163\pi\) | |||||||
\(270\) | −4.37515 | + | 2.22925i | −0.266263 | + | 0.135668i | ||||
\(271\) | −12.7082 | + | 9.23305i | −0.771968 | + | 0.560868i | −0.902558 | − | 0.430569i | \(-0.858313\pi\) |
0.130589 | + | 0.991437i | \(0.458313\pi\) | |||||||
\(272\) | −1.23607 | − | 0.898056i | −0.0749476 | − | 0.0544526i | ||||
\(273\) | −0.111456 | − | 0.343027i | −0.00674563 | − | 0.0207609i | ||||
\(274\) | 15.8541 | + | 15.8541i | 0.957781 | + | 0.957781i | ||||
\(275\) | 2.12663 | + | 2.54508i | 0.128240 | + | 0.153474i | ||||
\(276\) | −4.00000 | −0.240772 | ||||||||
\(277\) | −12.7598 | + | 4.14590i | −0.766660 | + | 0.249103i | −0.666135 | − | 0.745832i | \(-0.732052\pi\) |
−0.100525 | + | 0.994935i | \(0.532052\pi\) | |||||||
\(278\) | −2.13412 | + | 0.338012i | −0.127996 | + | 0.0202726i | ||||
\(279\) | −4.23607 | + | 3.07768i | −0.253607 | + | 0.184256i | ||||
\(280\) | −1.92522 | + | 0.980949i | −0.115054 | + | 0.0586229i | ||||
\(281\) | 3.04508 | − | 9.37181i | 0.181655 | − | 0.559075i | −0.818220 | − | 0.574905i | \(-0.805039\pi\) |
0.999875 | + | 0.0158298i | \(0.00503900\pi\) | |||||||
\(282\) | −1.49640 | + | 9.44788i | −0.0891091 | + | 0.562613i | ||||
\(283\) | 6.15537 | − | 8.47214i | 0.365899 | − | 0.503616i | −0.585882 | − | 0.810397i | \(-0.699252\pi\) |
0.951780 | + | 0.306780i | \(0.0992517\pi\) | |||||||
\(284\) | −20.8172 | + | 6.76393i | −1.23528 | + | 0.401366i | ||||
\(285\) | 5.00000i | 0.296174i | ||||||||
\(286\) | 1.40687 | − | 3.29541i | 0.0831899 | − | 0.194862i | ||||
\(287\) | 5.63932 | 0.332879 | ||||||||
\(288\) | 6.72353 | − | 13.1957i | 0.396188 | − | 0.777562i | ||||
\(289\) | 13.6353 | + | 9.90659i | 0.802074 | + | 0.582741i | ||||
\(290\) | 5.58721 | + | 0.884927i | 0.328092 | + | 0.0519647i | ||||
\(291\) | 1.71036 | + | 0.555728i | 0.100263 | + | 0.0325774i | ||||
\(292\) | −14.9394 | − | 4.85410i | −0.874262 | − | 0.284065i | ||||
\(293\) | 18.0171 | + | 24.7984i | 1.05257 | + | 1.44874i | 0.886561 | + | 0.462612i | \(0.153088\pi\) |
0.166008 | + | 0.986124i | \(0.446912\pi\) | |||||||
\(294\) | 5.53910 | − | 0.877307i | 0.323047 | − | 0.0511656i | ||||
\(295\) | −0.500000 | − | 1.53884i | −0.0291111 | − | 0.0895948i | ||||
\(296\) | 16.0000 | + | 16.0000i | 0.929981 | + | 0.929981i | ||||
\(297\) | −9.75329 | − | 6.12261i | −0.565943 | − | 0.355270i | ||||
\(298\) | 6.76393 | − | 6.76393i | 0.391824 | − | 0.391824i | ||||
\(299\) | 2.35114 | − | 0.763932i | 0.135970 | − | 0.0441793i | ||||
\(300\) | 1.00000 | + | 0.726543i | 0.0577350 | + | 0.0419470i | ||||
\(301\) | −0.832544 | − | 1.14590i | −0.0479870 | − | 0.0660485i | ||||
\(302\) | −17.5006 | + | 8.91699i | −1.00705 | + | 0.513115i | ||||
\(303\) | −2.70820 | + | 8.33499i | −0.155582 | + | 0.478833i | ||||
\(304\) | −19.0211 | − | 26.1803i | −1.09094 | − | 1.50155i | ||||
\(305\) | −3.61803 | − | 2.62866i | −0.207168 | − | 0.150516i | ||||
\(306\) | 0.642040 | − | 1.26007i | 0.0367030 | − | 0.0720336i | ||||
\(307\) | − | 5.56231i | − | 0.317458i | −0.987322 | − | 0.158729i | \(-0.949260\pi\) | ||
0.987322 | − | 0.158729i | \(-0.0507395\pi\) | |||||||
\(308\) | −4.29180 | − | 2.69417i | −0.244548 | − | 0.153514i | ||||
\(309\) | − | 7.23607i | − | 0.411646i | ||||||
\(310\) | 2.52015 | + | 1.28408i | 0.143135 | + | 0.0729308i | ||||
\(311\) | 1.09017 | + | 0.792055i | 0.0618179 | + | 0.0449133i | 0.618265 | − | 0.785970i | \(-0.287836\pi\) |
−0.556447 | + | 0.830883i | \(0.687836\pi\) | |||||||
\(312\) | 0.208903 | − | 1.31896i | 0.0118268 | − | 0.0746715i | ||||
\(313\) | 8.88197 | − | 27.3359i | 0.502038 | − | 1.54512i | −0.303655 | − | 0.952782i | \(-0.598207\pi\) |
0.805693 | − | 0.592333i | \(-0.201793\pi\) | |||||||
\(314\) | −6.23305 | − | 12.2331i | −0.351751 | − | 0.690351i | ||||
\(315\) | −1.17557 | − | 1.61803i | −0.0662359 | − | 0.0911659i | ||||
\(316\) | 2.69417 | − | 3.70820i | 0.151559 | − | 0.208603i | ||||
\(317\) | 5.60034 | − | 1.81966i | 0.314546 | − | 0.102202i | −0.147489 | − | 0.989064i | \(-0.547119\pi\) |
0.462036 | + | 0.886861i | \(0.347119\pi\) | |||||||
\(318\) | −1.70820 | − | 1.70820i | −0.0957913 | − | 0.0957913i | ||||
\(319\) | 4.94427 | + | 12.3107i | 0.276826 | + | 0.689269i | ||||
\(320\) | −8.00000 | −0.447214 | ||||||||
\(321\) | 0.409830 | + | 1.26133i | 0.0228745 | + | 0.0704004i | ||||
\(322\) | −0.546915 | − | 3.45309i | −0.0304784 | − | 0.192433i | ||||
\(323\) | −1.81636 | − | 2.50000i | −0.101065 | − | 0.139104i | ||||
\(324\) | 10.8576 | + | 3.52786i | 0.603203 | + | 0.195992i | ||||
\(325\) | −0.726543 | − | 0.236068i | −0.0403013 | − | 0.0130947i | ||||
\(326\) | −0.969430 | + | 6.12074i | −0.0536918 | + | 0.338996i | ||||
\(327\) | 8.23607 | + | 5.98385i | 0.455456 | + | 0.330908i | ||||
\(328\) | 18.6036 | + | 9.47903i | 1.02721 | + | 0.523392i | ||||
\(329\) | −8.36068 | −0.460939 | ||||||||
\(330\) | −0.258621 | + | 2.88728i | −0.0142366 | + | 0.158939i | ||||
\(331\) | − | 10.0344i | − | 0.551543i | −0.961223 | − | 0.275771i | \(-0.911067\pi\) | ||
0.961223 | − | 0.275771i | \(-0.0889333\pi\) | |||||||
\(332\) | 2.85410 | + | 8.78402i | 0.156639 | + | 0.482086i | ||||
\(333\) | −12.3107 | + | 16.9443i | −0.674624 | + | 0.928540i | ||||
\(334\) | 7.72133 | + | 1.22294i | 0.422493 | + | 0.0669162i | ||||
\(335\) | 4.11803 | − | 12.6740i | 0.224992 | − | 0.692455i | ||||
\(336\) | −1.79611 | − | 0.583592i | −0.0979859 | − | 0.0318376i | ||||
\(337\) | 27.5795 | − | 20.0377i | 1.50235 | − | 1.09152i | 0.532920 | − | 0.846166i | \(-0.321095\pi\) |
0.969433 | − | 0.245357i | \(-0.0789053\pi\) | |||||||
\(338\) | −2.74690 | − | 17.3433i | −0.149412 | − | 0.943349i | ||||
\(339\) | −9.73508 | + | 3.16312i | −0.528737 | + | 0.171797i | ||||
\(340\) | −0.763932 | −0.0414300 | ||||||||
\(341\) | 0.449028 | + | 6.61803i | 0.0243162 | + | 0.358387i | ||||
\(342\) | 21.1803 | − | 21.1803i | 1.14530 | − | 1.14530i | ||||
\(343\) | 3.16718 | + | 9.74759i | 0.171012 | + | 0.526320i | ||||
\(344\) | −0.820372 | − | 5.17963i | −0.0442315 | − | 0.279267i | ||||
\(345\) | −1.61803 | + | 1.17557i | −0.0871120 | + | 0.0632906i | ||||
\(346\) | 5.92992 | + | 11.6381i | 0.318795 | + | 0.625669i | ||||
\(347\) | 20.4540 | + | 6.64590i | 1.09803 | + | 0.356770i | 0.801343 | − | 0.598205i | \(-0.204119\pi\) |
0.296684 | + | 0.954976i | \(0.404119\pi\) | |||||||
\(348\) | 2.90617 | + | 4.00000i | 0.155787 | + | 0.214423i | ||||
\(349\) | 9.95959 | − | 13.7082i | 0.533125 | − | 0.733783i | −0.454478 | − | 0.890758i | \(-0.650174\pi\) |
0.987603 | + | 0.156975i | \(0.0501741\pi\) | |||||||
\(350\) | −0.490475 | + | 0.962611i | −0.0262170 | + | 0.0514537i | ||||
\(351\) | 2.65248 | 0.141579 | ||||||||
\(352\) | −9.62970 | − | 16.1018i | −0.513264 | − | 0.858230i | ||||
\(353\) | 10.8541 | 0.577706 | 0.288853 | − | 0.957374i | \(-0.406726\pi\) | ||||
0.288853 | + | 0.957374i | \(0.406726\pi\) | |||||||
\(354\) | 0.642040 | − | 1.26007i | 0.0341240 | − | 0.0669722i | ||||
\(355\) | −6.43288 | + | 8.85410i | −0.341422 | + | 0.469927i | ||||
\(356\) | 6.53888 | + | 9.00000i | 0.346560 | + | 0.476999i | ||||
\(357\) | −0.171513 | − | 0.0557281i | −0.00907745 | − | 0.00294944i | ||||
\(358\) | 4.58795 | + | 9.00436i | 0.242481 | + | 0.475895i | ||||
\(359\) | 16.9443 | − | 12.3107i | 0.894284 | − | 0.649736i | −0.0427071 | − | 0.999088i | \(-0.513598\pi\) |
0.936992 | + | 0.349352i | \(0.113598\pi\) | |||||||
\(360\) | −1.15838 | − | 7.31375i | −0.0610522 | − | 0.385469i | ||||
\(361\) | −14.3541 | − | 44.1774i | −0.755479 | − | 2.32513i | ||||
\(362\) | 20.0000 | − | 20.0000i | 1.05118 | − | 1.05118i | ||||
\(363\) | −6.12261 | + | 2.95492i | −0.321354 | + | 0.155093i | ||||
\(364\) | 1.16718 | 0.0611771 | ||||||||
\(365\) | −7.46969 | + | 2.42705i | −0.390982 | + | 0.127038i | ||||
\(366\) | −0.611469 | − | 3.86067i | −0.0319620 | − | 0.201800i | ||||
\(367\) | −6.23607 | + | 4.53077i | −0.325520 | + | 0.236504i | −0.738527 | − | 0.674224i | \(-0.764478\pi\) |
0.413007 | + | 0.910728i | \(0.364478\pi\) | |||||||
\(368\) | 4.00000 | − | 12.3107i | 0.208514 | − | 0.641741i | ||||
\(369\) | −5.97214 | + | 18.3803i | −0.310897 | + | 0.956843i | ||||
\(370\) | 11.1744 | + | 1.76985i | 0.580930 | + | 0.0920103i | ||||
\(371\) | 1.24108 | − | 1.70820i | 0.0644338 | − | 0.0886855i | ||||
\(372\) | 0.763932 | + | 2.35114i | 0.0396080 | + | 0.121901i | ||||
\(373\) | 16.4721i | 0.852895i | 0.904512 | + | 0.426447i | \(0.140235\pi\) | ||||
−0.904512 | + | 0.426447i | \(0.859765\pi\) | |||||||
\(374\) | −0.919554 | − | 1.53759i | −0.0475490 | − | 0.0795068i | ||||
\(375\) | 0.618034 | 0.0319151 | ||||||||
\(376\) | −27.5812 | − | 14.0533i | −1.42239 | − | 0.724744i | ||||
\(377\) | −2.47214 | − | 1.79611i | −0.127321 | − | 0.0925045i | ||||
\(378\) | 0.586812 | − | 3.70498i | 0.0301823 | − | 0.190564i | ||||
\(379\) | 29.7400 | + | 9.66312i | 1.52764 | + | 0.496361i | 0.947935 | − | 0.318464i | \(-0.103167\pi\) |
0.579707 | + | 0.814825i | \(0.303167\pi\) | |||||||
\(380\) | −15.3884 | − | 5.00000i | −0.789409 | − | 0.256495i | ||||
\(381\) | 6.43288 | + | 8.85410i | 0.329567 | + | 0.453609i | ||||
\(382\) | −2.69468 | − | 17.0135i | −0.137872 | − | 0.870488i | ||||
\(383\) | 7.94427 | + | 24.4500i | 0.405933 | + | 1.24933i | 0.920113 | + | 0.391652i | \(0.128096\pi\) |
−0.514180 | + | 0.857682i | \(0.671904\pi\) | |||||||
\(384\) | −4.94427 | − | 4.94427i | −0.252311 | − | 0.252311i | ||||
\(385\) | −2.52786 | + | 0.171513i | −0.128832 | + | 0.00874113i | ||||
\(386\) | −6.00000 | − | 6.00000i | −0.305392 | − | 0.305392i | ||||
\(387\) | 4.61653 | − | 1.50000i | 0.234671 | − | 0.0762493i | ||||
\(388\) | −3.42071 | + | 4.70820i | −0.173660 | + | 0.239023i | ||||
\(389\) | −5.15131 | − | 7.09017i | −0.261182 | − | 0.359486i | 0.658206 | − | 0.752838i | \(-0.271315\pi\) |
−0.919388 | + | 0.393352i | \(0.871315\pi\) | |||||||
\(390\) | −0.303130 | − | 0.594926i | −0.0153496 | − | 0.0301252i | ||||
\(391\) | 0.381966 | − | 1.17557i | 0.0193169 | − | 0.0594512i | ||||
\(392\) | −2.83903 | + | 17.9249i | −0.143392 | + | 0.905344i | ||||
\(393\) | 7.66312 | + | 5.56758i | 0.386553 | + | 0.280847i | ||||
\(394\) | 18.8309 | + | 9.59481i | 0.948686 | + | 0.483380i | ||||
\(395\) | − | 2.29180i | − | 0.115313i | ||||||
\(396\) | 13.3262 | − | 11.1352i | 0.669669 | − | 0.559563i | ||||
\(397\) | 31.4164i | 1.57674i | 0.615199 | + | 0.788372i | \(0.289076\pi\) | ||||
−0.615199 | + | 0.788372i | \(0.710924\pi\) | |||||||
\(398\) | −5.55523 | + | 10.9028i | −0.278459 | + | 0.546506i | ||||
\(399\) | −3.09017 | − | 2.24514i | −0.154702 | − | 0.112398i | ||||
\(400\) | −3.23607 | + | 2.35114i | −0.161803 | + | 0.117557i | ||||
\(401\) | −10.9549 | + | 33.7158i | −0.547062 | + | 1.68368i | 0.168973 | + | 0.985621i | \(0.445955\pi\) |
−0.716035 | + | 0.698064i | \(0.754045\pi\) | |||||||
\(402\) | 10.3781 | − | 5.28788i | 0.517610 | − | 0.263736i | ||||
\(403\) | −0.898056 | − | 1.23607i | −0.0447354 | − | 0.0615729i | ||||
\(404\) | −22.9443 | − | 16.6700i | −1.14152 | − | 0.829363i | ||||
\(405\) | 5.42882 | − | 1.76393i | 0.269760 | − | 0.0876505i | ||||
\(406\) | −3.05573 | + | 3.05573i | −0.151653 | + | 0.151653i | ||||
\(407\) | 9.88854 | + | 24.6215i | 0.490157 | + | 1.22044i | ||||
\(408\) | −0.472136 | − | 0.472136i | −0.0233742 | − | 0.0233742i | ||||
\(409\) | −6.79837 | − | 20.9232i | −0.336158 | − | 1.03459i | −0.966149 | − | 0.257985i | \(-0.916941\pi\) |
0.629991 | − | 0.776603i | \(-0.283059\pi\) | |||||||
\(410\) | 10.3111 | − | 1.63313i | 0.509231 | − | 0.0806543i | ||||
\(411\) | 5.75934 | + | 7.92705i | 0.284087 | + | 0.391013i | ||||
\(412\) | 22.2703 | + | 7.23607i | 1.09718 | + | 0.356495i | ||||
\(413\) | 1.17557 | + | 0.381966i | 0.0578460 | + | 0.0187953i | ||||
\(414\) | 11.8339 | + | 1.87431i | 0.581604 | + | 0.0921171i | ||||
\(415\) | 3.73607 | + | 2.71441i | 0.183396 | + | 0.133245i | ||||
\(416\) | 3.85044 | + | 1.96190i | 0.188783 | + | 0.0961900i | ||||
\(417\) | −0.944272 | −0.0462412 | ||||||||
\(418\) | −8.45958 | − | 36.9913i | −0.413771 | − | 1.80930i | ||||
\(419\) | 6.90983i | 0.337567i | 0.985653 | + | 0.168784i | \(0.0539839\pi\) | ||||
−0.985653 | + | 0.168784i | \(0.946016\pi\) | |||||||
\(420\) | −0.898056 | + | 0.291796i | −0.0438206 | + | 0.0142382i | ||||
\(421\) | −13.8293 | + | 19.0344i | −0.674000 | + | 0.927682i | −0.999843 | − | 0.0177422i | \(-0.994352\pi\) |
0.325842 | + | 0.945424i | \(0.394352\pi\) | |||||||
\(422\) | 1.80213 | − | 11.3782i | 0.0877264 | − | 0.553883i | ||||
\(423\) | 8.85410 | − | 27.2501i | 0.430501 | − | 1.32495i | ||||
\(424\) | 6.96552 | − | 3.54911i | 0.338275 | − | 0.172360i | ||||
\(425\) | −0.309017 | + | 0.224514i | −0.0149895 | + | 0.0108905i | ||||
\(426\) | −9.44788 | + | 1.49640i | −0.457751 | + | 0.0725006i | ||||
\(427\) | 3.24920 | − | 1.05573i | 0.157240 | − | 0.0510903i | ||||
\(428\) | −4.29180 | −0.207452 | ||||||||
\(429\) | 0.832544 | − | 1.32624i | 0.0401956 | − | 0.0640314i | ||||
\(430\) | −1.85410 | − | 1.85410i | −0.0894127 | − | 0.0894127i | ||||
\(431\) | −3.70820 | − | 11.4127i | −0.178618 | − | 0.549729i | 0.821162 | − | 0.570695i | \(-0.193326\pi\) |
−0.999780 | + | 0.0209654i | \(0.993326\pi\) | |||||||
\(432\) | 8.16348 | − | 11.2361i | 0.392766 | − | 0.540596i | ||||
\(433\) | −15.3992 | + | 11.1882i | −0.740038 | + | 0.537669i | −0.892723 | − | 0.450606i | \(-0.851208\pi\) |
0.152685 | + | 0.988275i | \(0.451208\pi\) | |||||||
\(434\) | −1.92522 | + | 0.980949i | −0.0924136 | + | 0.0470871i | ||||
\(435\) | 2.35114 | + | 0.763932i | 0.112729 | + | 0.0366277i | ||||
\(436\) | −26.6525 | + | 19.3642i | −1.27642 | + | 0.927375i | ||||
\(437\) | 15.3884 | − | 21.1803i | 0.736128 | − | 1.01319i | ||||
\(438\) | −6.11653 | − | 3.11653i | −0.292259 | − | 0.148913i | ||||
\(439\) | 6.65248 | 0.317505 | 0.158753 | − | 0.987318i | \(-0.449253\pi\) | ||||
0.158753 | + | 0.987318i | \(0.449253\pi\) | |||||||
\(440\) | −8.62750 | − | 3.68323i | −0.411300 | − | 0.175591i | ||||
\(441\) | −16.7984 | −0.799923 | ||||||||
\(442\) | 0.367684 | + | 0.187345i | 0.0174890 | + | 0.00891107i | ||||
\(443\) | 20.6255 | − | 28.3885i | 0.979946 | − | 1.34878i | 0.0430880 | − | 0.999071i | \(-0.486280\pi\) |
0.936858 | − | 0.349709i | \(-0.113720\pi\) | |||||||
\(444\) | 5.81234 | + | 8.00000i | 0.275841 | + | 0.379663i | ||||
\(445\) | 5.29007 | + | 1.71885i | 0.250773 | + | 0.0814812i | ||||
\(446\) | −3.11507 | + | 1.58721i | −0.147503 | + | 0.0751565i | ||||
\(447\) | 3.38197 | − | 2.45714i | 0.159962 | − | 0.116219i | ||||
\(448\) | 3.59222 | − | 4.94427i | 0.169717 | − | 0.233595i | ||||
\(449\) | −5.20820 | − | 16.0292i | −0.245790 | − | 0.756465i | −0.995505 | − | 0.0947042i | \(-0.969809\pi\) |
0.749715 | − | 0.661761i | \(-0.230191\pi\) | |||||||
\(450\) | −2.61803 | − | 2.61803i | −0.123415 | − | 0.123415i | ||||
\(451\) | 15.6987 | + | 18.7877i | 0.739222 | + | 0.884680i | ||||
\(452\) | − | 33.1246i | − | 1.55805i | ||||||
\(453\) | −8.16348 | + | 2.65248i | −0.383554 | + | 0.124624i | ||||
\(454\) | 28.9734 | − | 4.58893i | 1.35979 | − | 0.215369i | ||||
\(455\) | 0.472136 | − | 0.343027i | 0.0221341 | − | 0.0160813i | ||||
\(456\) | −6.42040 | − | 12.6007i | −0.300663 | − | 0.590083i | ||||
\(457\) | 9.01064 | − | 27.7319i | 0.421500 | − | 1.29724i | −0.484806 | − | 0.874622i | \(-0.661110\pi\) |
0.906306 | − | 0.422622i | \(-0.138890\pi\) | |||||||
\(458\) | 1.02928 | − | 6.49859i | 0.0480949 | − | 0.303659i | ||||
\(459\) | 0.779543 | − | 1.07295i | 0.0363860 | − | 0.0500810i | ||||
\(460\) | −2.00000 | − | 6.15537i | −0.0932505 | − | 0.286995i | ||||
\(461\) | 39.5967i | 1.84420i | 0.386946 | + | 0.922102i | \(0.373530\pi\) | ||||
−0.386946 | + | 0.922102i | \(0.626470\pi\) | |||||||
\(462\) | −1.66831 | − | 1.45630i | −0.0776167 | − | 0.0677534i | ||||
\(463\) | −31.8885 | −1.48199 | −0.740993 | − | 0.671513i | \(-0.765645\pi\) | ||||
−0.740993 | + | 0.671513i | \(0.765645\pi\) | |||||||
\(464\) | −15.2169 | + | 4.94427i | −0.706427 | + | 0.229532i | ||||
\(465\) | 1.00000 | + | 0.726543i | 0.0463739 | + | 0.0336926i | ||||
\(466\) | −0.203791 | − | 0.0322773i | −0.00944042 | − | 0.00149522i | ||||
\(467\) | 16.6700 | + | 5.41641i | 0.771395 | + | 0.250641i | 0.668162 | − | 0.744016i | \(-0.267081\pi\) |
0.103233 | + | 0.994657i | \(0.467081\pi\) | |||||||
\(468\) | −1.23607 | + | 3.80423i | −0.0571373 | + | 0.175850i | ||||
\(469\) | 5.98385 | + | 8.23607i | 0.276309 | + | 0.380306i | ||||
\(470\) | −15.2870 | + | 2.42122i | −0.705136 | + | 0.111683i | ||||
\(471\) | −1.85410 | − | 5.70634i | −0.0854325 | − | 0.262934i | ||||
\(472\) | 3.23607 | + | 3.23607i | 0.148952 | + | 0.148952i | ||||
\(473\) | 1.50000 | − | 5.96361i | 0.0689701 | − | 0.274207i | ||||
\(474\) | 1.41641 | − | 1.41641i | 0.0650578 | − | 0.0650578i | ||||
\(475\) | −7.69421 | + | 2.50000i | −0.353035 | + | 0.114708i | ||||
\(476\) | 0.343027 | − | 0.472136i | 0.0157226 | − | 0.0216403i | ||||
\(477\) | 4.25325 | + | 5.85410i | 0.194743 | + | 0.268041i | ||||
\(478\) | −33.5841 | + | 17.1119i | −1.53610 | + | 0.782682i | ||||
\(479\) | 5.05573 | − | 15.5599i | 0.231002 | − | 0.710951i | −0.766625 | − | 0.642096i | \(-0.778065\pi\) |
0.997627 | − | 0.0688557i | \(-0.0219348\pi\) | |||||||
\(480\) | −3.45309 | − | 0.546915i | −0.157611 | − | 0.0249631i | ||||
\(481\) | −4.94427 | − | 3.59222i | −0.225439 | − | 0.163791i | ||||
\(482\) | −14.1112 | + | 27.6948i | −0.642748 | + | 1.26146i | ||||
\(483\) | − | 1.52786i | − | 0.0695202i | ||||||
\(484\) | −2.97168 | − | 21.7984i | −0.135076 | − | 0.990835i | ||||
\(485\) | 2.90983i | 0.132129i | ||||||||
\(486\) | 17.5708 | + | 8.95277i | 0.797028 | + | 0.406106i | ||||
\(487\) | −8.85410 | − | 6.43288i | −0.401218 | − | 0.291502i | 0.368819 | − | 0.929501i | \(-0.379762\pi\) |
−0.770037 | + | 0.637999i | \(0.779762\pi\) | |||||||
\(488\) | 12.4934 | + | 1.97876i | 0.565549 | + | 0.0895741i | ||||
\(489\) | −0.836881 | + | 2.57565i | −0.0378451 | + | 0.116475i | ||||
\(490\) | 4.11959 | + | 8.08515i | 0.186104 | + | 0.365250i | ||||
\(491\) | −1.15533 | − | 1.59017i | −0.0521391 | − | 0.0717634i | 0.782151 | − | 0.623089i | \(-0.214122\pi\) |
−0.834290 | + | 0.551325i | \(0.814122\pi\) | |||||||
\(492\) | 7.38197 | + | 5.36331i | 0.332805 | + | 0.241797i | ||||
\(493\) | −1.45309 | + | 0.472136i | −0.0654437 | + | 0.0212639i | ||||
\(494\) | 6.18034 | + | 6.18034i | 0.278067 | + | 0.278067i | ||||
\(495\) | 2.11803 | − | 8.42075i | 0.0951985 | − | 0.378485i | ||||
\(496\) | −8.00000 | −0.359211 | ||||||||
\(497\) | −2.58359 | − | 7.95148i | −0.115890 | − | 0.356673i | ||||
\(498\) | 0.631418 | + | 3.98662i | 0.0282945 | + | 0.178645i | ||||
\(499\) | 13.2945 | + | 18.2984i | 0.595146 | + | 0.819148i | 0.995253 | − | 0.0973205i | \(-0.0310272\pi\) |
−0.400107 | + | 0.916468i | \(0.631027\pi\) | |||||||
\(500\) | −0.618034 | + | 1.90211i | −0.0276393 | + | 0.0850651i | ||||
\(501\) | 3.24920 | + | 1.05573i | 0.145163 | + | 0.0471665i | ||||
\(502\) | −2.65478 | + | 16.7616i | −0.118489 | + | 0.748108i | ||||
\(503\) | 26.5066 | + | 19.2582i | 1.18187 | + | 0.858679i | 0.992381 | − | 0.123204i | \(-0.0393170\pi\) |
0.189489 | + | 0.981883i | \(0.439317\pi\) | |||||||
\(504\) | 5.04029 | + | 2.56816i | 0.224513 | + | 0.114395i | ||||
\(505\) | −14.1803 | −0.631017 | ||||||||
\(506\) | 9.98166 | − | 11.4347i | 0.443739 | − | 0.508336i | ||||
\(507\) | − | 7.67376i | − | 0.340804i | ||||||
\(508\) | −33.6830 | + | 10.9443i | −1.49444 | + | 0.485574i | ||||
\(509\) | 19.0866 | − | 26.2705i | 0.846001 | − | 1.16442i | −0.138729 | − | 0.990330i | \(-0.544302\pi\) |
0.984730 | − | 0.174090i | \(-0.0556982\pi\) | |||||||
\(510\) | −0.329740 | − | 0.0522257i | −0.0146011 | − | 0.00231259i | ||||
\(511\) | 1.85410 | − | 5.70634i | 0.0820206 | − | 0.252434i | ||||
\(512\) | 20.1612 | − | 10.2726i | 0.891007 | − | 0.453990i | ||||
\(513\) | 22.7254 | − | 16.5110i | 1.00335 | − | 0.728978i | ||||
\(514\) | −3.71633 | − | 23.4640i | −0.163920 | − | 1.03495i | ||||
\(515\) | 11.1352 | − | 3.61803i | 0.490674 | − | 0.159430i | ||||
\(516\) | − | 2.29180i | − | 0.100891i | ||||||
\(517\) | −23.2744 | − | 27.8541i | −1.02361 | − | 1.22502i | ||||
\(518\) | −6.11146 | + | 6.11146i | −0.268522 | + | 0.268522i | ||||
\(519\) | 1.76393 | + | 5.42882i | 0.0774280 | + | 0.238299i | ||||
\(520\) | 2.13412 | − | 0.338012i | 0.0935875 | − | 0.0148228i | ||||
\(521\) | −8.69098 | + | 6.31437i | −0.380759 | + | 0.276638i | −0.761658 | − | 0.647979i | \(-0.775614\pi\) |
0.380899 | + | 0.924617i | \(0.375614\pi\) | |||||||
\(522\) | −6.72353 | − | 13.1957i | −0.294281 | − | 0.577558i | ||||
\(523\) | −4.51052 | − | 1.46556i | −0.197231 | − | 0.0640844i | 0.208736 | − | 0.977972i | \(-0.433065\pi\) |
−0.405967 | + | 0.913888i | \(0.633065\pi\) | |||||||
\(524\) | −24.7984 | + | 18.0171i | −1.08332 | + | 0.787079i | ||||
\(525\) | −0.277515 | + | 0.381966i | −0.0121117 | + | 0.0166704i | ||||
\(526\) | 15.8994 | − | 31.2044i | 0.693248 | − | 1.36058i | ||||
\(527\) | −0.763932 | −0.0332774 | ||||||||
\(528\) | −3.05573 | − | 7.60845i | −0.132983 | − | 0.331115i | ||||
\(529\) | −12.5279 | −0.544690 | ||||||||
\(530\) | 1.77455 | − | 3.48276i | 0.0770817 | − | 0.151281i | ||||
\(531\) | −2.48990 | + | 3.42705i | −0.108052 | + | 0.148721i | ||||
\(532\) | 10.0000 | − | 7.26543i | 0.433555 | − | 0.314996i | ||||
\(533\) | −5.36331 | − | 1.74265i | −0.232311 | − | 0.0754824i | ||||
\(534\) | 2.20714 | + | 4.33175i | 0.0955121 | + | 0.187453i | ||||
\(535\) | −1.73607 | + | 1.26133i | −0.0750568 | + | 0.0545319i | ||||
\(536\) | 5.89637 | + | 37.2282i | 0.254685 | + | 1.60801i | ||||
\(537\) | 1.36475 | + | 4.20025i | 0.0588931 | + | 0.181254i | ||||
\(538\) | 13.8885 | − | 13.8885i | 0.598778 | − | 0.598778i | ||||
\(539\) | −11.3144 | + | 18.0238i | −0.487346 | + | 0.776340i | ||||
\(540\) | − | 6.94427i | − | 0.298834i | ||||||
\(541\) | −13.9353 | + | 4.52786i | −0.599127 | + | 0.194668i | −0.592851 | − | 0.805312i | \(-0.701998\pi\) |
−0.00627582 | + | 0.999980i | \(0.501998\pi\) | |||||||
\(542\) | −3.47515 | − | 21.9413i | −0.149271 | − | 0.942458i | ||||
\(543\) | 10.0000 | − | 7.26543i | 0.429141 | − | 0.311789i | ||||
\(544\) | 1.92522 | − | 0.980949i | 0.0825432 | − | 0.0420578i | ||||
\(545\) | −5.09017 | + | 15.6659i | −0.218039 | + | 0.671055i | ||||
\(546\) | 0.503798 | + | 0.0797938i | 0.0215606 | + | 0.00341486i | ||||
\(547\) | −14.8864 | + | 20.4894i | −0.636496 | + | 0.876062i | −0.998423 | − | 0.0561450i | \(-0.982119\pi\) |
0.361927 | + | 0.932207i | \(0.382119\pi\) | |||||||
\(548\) | −30.1563 | + | 9.79837i | −1.28821 | + | 0.418566i | ||||
\(549\) | 11.7082i | 0.499694i | ||||||||
\(550\) | −4.57237 | + | 1.04566i | −0.194967 | + | 0.0445871i | ||||
\(551\) | −32.3607 | −1.37861 | ||||||||
\(552\) | 2.56816 | − | 5.04029i | 0.109308 | − | 0.214529i | ||||
\(553\) | 1.41641 | + | 1.02908i | 0.0602318 | + | 0.0437610i | ||||
\(554\) | 2.96814 | − | 18.7401i | 0.126104 | − | 0.796189i | ||||
\(555\) | 4.70228 | + | 1.52786i | 0.199601 | + | 0.0648542i | ||||
\(556\) | 0.944272 | − | 2.90617i | 0.0400460 | − | 0.123249i | ||||
\(557\) | 9.23305 | + | 12.7082i | 0.391217 | + | 0.538464i | 0.958513 | − | 0.285050i | \(-0.0920103\pi\) |
−0.567296 | + | 0.823514i | \(0.692010\pi\) | |||||||
\(558\) | −1.15838 | − | 7.31375i | −0.0490383 | − | 0.309616i | ||||
\(559\) | 0.437694 | + | 1.34708i | 0.0185125 | + | 0.0569756i | ||||
\(560\) | − | 3.05573i | − | 0.129128i | ||||||
\(561\) | −0.291796 | − | 0.726543i | −0.0123196 | − | 0.0306746i | ||||
\(562\) | 9.85410 | + | 9.85410i | 0.415670 | + | 0.415670i | ||||
\(563\) | −7.36369 | + | 2.39261i | −0.310343 | + | 0.100836i | −0.460048 | − | 0.887894i | \(-0.652168\pi\) |
0.149705 | + | 0.988731i | \(0.452168\pi\) | |||||||
\(564\) | −10.9443 | − | 7.95148i | −0.460837 | − | 0.334818i | ||||
\(565\) | −9.73508 | − | 13.3992i | −0.409558 | − | 0.563708i | ||||
\(566\) | 6.72353 | + | 13.1957i | 0.282611 | + | 0.554655i | ||||
\(567\) | −1.34752 | + | 4.14725i | −0.0565907 | + | 0.174168i | ||||
\(568\) | 4.84244 | − | 30.5740i | 0.203184 | − | 1.28286i | ||||
\(569\) | −7.16312 | − | 5.20431i | −0.300294 | − | 0.218176i | 0.427427 | − | 0.904050i | \(-0.359420\pi\) |
−0.727720 | + | 0.685874i | \(0.759420\pi\) | |||||||
\(570\) | −6.30037 | − | 3.21020i | −0.263893 | − | 0.134460i | ||||
\(571\) | 16.3607i | 0.684673i | 0.939577 | + | 0.342337i | \(0.111218\pi\) | ||||
−0.939577 | + | 0.342337i | \(0.888782\pi\) | |||||||
\(572\) | 3.24920 | + | 3.88854i | 0.135856 | + | 0.162588i | ||||
\(573\) | − | 7.52786i | − | 0.314481i | ||||||
\(574\) | −3.62067 | + | 7.10596i | −0.151124 | + | 0.296597i | ||||
\(575\) | −2.61803 | − | 1.90211i | −0.109180 | − | 0.0793236i | ||||
\(576\) | 12.3107 | + | 16.9443i | 0.512947 | + | 0.706011i | ||||
\(577\) | −13.7016 | + | 42.1693i | −0.570406 | + | 1.75553i | 0.0809081 | + | 0.996722i | \(0.474218\pi\) |
−0.651314 | + | 0.758808i | \(0.725782\pi\) | |||||||
\(578\) | −21.2374 | + | 10.8210i | −0.883360 | + | 0.450094i | ||||
\(579\) | −2.17963 | − | 3.00000i | −0.0905822 | − | 0.124676i | ||||
\(580\) | −4.70228 | + | 6.47214i | −0.195252 | + | 0.268741i | ||||
\(581\) | −3.35520 | + | 1.09017i | −0.139197 | + | 0.0452279i | ||||
\(582\) | −1.79837 | + | 1.79837i | −0.0745450 | + | 0.0745450i | ||||
\(583\) | 9.14590 | − | 0.620541i | 0.378784 | − | 0.0257002i | ||||
\(584\) | 15.7082 | − | 15.7082i | 0.650010 | − | 0.650010i | ||||
\(585\) | 0.618034 | + | 1.90211i | 0.0255526 | + | 0.0786427i | ||||
\(586\) | −42.8154 | + | 6.78130i | −1.76869 | + | 0.280133i | ||||
\(587\) | −6.82891 | − | 9.39919i | −0.281859 | − | 0.387946i | 0.644489 | − | 0.764613i | \(-0.277070\pi\) |
−0.926349 | + | 0.376667i | \(0.877070\pi\) | |||||||
\(588\) | −2.45085 | + | 7.54294i | −0.101071 | + | 0.311066i | ||||
\(589\) | −15.3884 | − | 5.00000i | −0.634069 | − | 0.206021i | ||||
\(590\) | 2.26007 | + | 0.357960i | 0.0930458 | + | 0.0147370i | ||||
\(591\) | 7.47214 | + | 5.42882i | 0.307363 | + | 0.223312i | ||||
\(592\) | −30.4338 | + | 9.88854i | −1.25082 | + | 0.406417i | ||||
\(593\) | −12.5623 | −0.515872 | −0.257936 | − | 0.966162i | \(-0.583042\pi\) | ||||
−0.257936 | + | 0.966162i | \(0.583042\pi\) | |||||||
\(594\) | 13.9769 | − | 8.35890i | 0.573481 | − | 0.342970i | ||||
\(595\) | − | 0.291796i | − | 0.0119625i | ||||||
\(596\) | 4.18034 | + | 12.8658i | 0.171233 | + | 0.527002i | ||||
\(597\) | −3.14320 | + | 4.32624i | −0.128642 | + | 0.177061i | ||||
\(598\) | −0.546915 | + | 3.45309i | −0.0223650 | + | 0.141207i | ||||
\(599\) | 2.03444 | − | 6.26137i | 0.0831250 | − | 0.255833i | −0.900852 | − | 0.434125i | \(-0.857057\pi\) |
0.983977 | + | 0.178293i | \(0.0570575\pi\) | |||||||
\(600\) | −1.55754 | + | 0.793604i | −0.0635862 | + | 0.0323988i | ||||
\(601\) | 27.9164 | − | 20.2825i | 1.13873 | − | 0.827339i | 0.151792 | − | 0.988413i | \(-0.451496\pi\) |
0.986942 | + | 0.161074i | \(0.0514957\pi\) | |||||||
\(602\) | 1.97844 | − | 0.313354i | 0.0806353 | − | 0.0127714i | ||||
\(603\) | −33.1810 | + | 10.7812i | −1.35123 | + | 0.439042i | ||||
\(604\) | − | 27.7771i | − | 1.13023i | ||||||
\(605\) | −7.60845 | − | 7.94427i | −0.309328 | − | 0.322981i | ||||
\(606\) | −8.76393 | − | 8.76393i | −0.356010 | − | 0.356010i | ||||
\(607\) | 10.9443 | + | 33.6830i | 0.444214 | + | 1.36715i | 0.883343 | + | 0.468727i | \(0.155287\pi\) |
−0.439129 | + | 0.898424i | \(0.644713\pi\) | |||||||
\(608\) | 45.2015 | − | 7.15921i | 1.83316 | − | 0.290344i | ||||
\(609\) | −1.52786 | + | 1.11006i | −0.0619122 | + | 0.0449818i | ||||
\(610\) | 5.63522 | − | 2.87129i | 0.228163 | − | 0.116255i | ||||
\(611\) | 7.95148 | + | 2.58359i | 0.321682 | + | 0.104521i | ||||
\(612\) | 1.17557 | + | 1.61803i | 0.0475196 | + | 0.0654051i | ||||
\(613\) | 4.35926 | − | 6.00000i | 0.176069 | − | 0.242338i | −0.711857 | − | 0.702324i | \(-0.752146\pi\) |
0.887926 | + | 0.459986i | \(0.152146\pi\) | |||||||
\(614\) | 7.00891 | + | 3.57122i | 0.282857 | + | 0.144123i | ||||
\(615\) | 4.56231 | 0.183970 | ||||||||
\(616\) | 6.15035 | − | 3.67822i | 0.247805 | − | 0.148200i | ||||
\(617\) | 23.6180 | 0.950826 | 0.475413 | − | 0.879763i | \(-0.342299\pi\) | ||||
0.475413 | + | 0.879763i | \(0.342299\pi\) | |||||||
\(618\) | 9.11798 | + | 4.64584i | 0.366779 | + | 0.186883i | ||||
\(619\) | 1.29408 | − | 1.78115i | 0.0520136 | − | 0.0715906i | −0.782218 | − | 0.623005i | \(-0.785912\pi\) |
0.834232 | + | 0.551414i | \(0.185912\pi\) | |||||||
\(620\) | −3.23607 | + | 2.35114i | −0.129964 | + | 0.0944241i | ||||
\(621\) | 10.6861 | + | 3.47214i | 0.428820 | + | 0.139332i | ||||
\(622\) | −1.69798 | + | 0.865164i | −0.0680828 | + | 0.0346899i | ||||
\(623\) | −3.43769 | + | 2.49763i | −0.137728 | + | 0.100065i | ||||
\(624\) | 1.52786 | + | 1.11006i | 0.0611635 | + | 0.0444379i | ||||
\(625\) | 0.309017 | + | 0.951057i | 0.0123607 | + | 0.0380423i | ||||
\(626\) | 28.7426 | + | 28.7426i | 1.14879 | + | 1.14879i | ||||
\(627\) | −1.12257 | − | 16.5451i | −0.0448311 | − | 0.660747i | ||||
\(628\) | 19.4164 | 0.774799 | ||||||||
\(629\) | −2.90617 | + | 0.944272i | −0.115877 | + | 0.0376506i | ||||
\(630\) | 2.79360 | − | 0.442463i | 0.111300 | − | 0.0176282i | ||||
\(631\) | −26.6525 | + | 19.3642i | −1.06102 | + | 0.770875i | −0.974277 | − | 0.225356i | \(-0.927646\pi\) |
−0.0867418 | + | 0.996231i | \(0.527646\pi\) | |||||||
\(632\) | 2.94285 | + | 5.77566i | 0.117060 | + | 0.229744i | ||||
\(633\) | 1.55573 | − | 4.78804i | 0.0618346 | − | 0.190307i | ||||
\(634\) | −1.30273 | + | 8.22513i | −0.0517381 | + | 0.326662i | ||||
\(635\) | −10.4086 | + | 14.3262i | −0.413054 | + | 0.568519i | ||||
\(636\) | 3.24920 | − | 1.05573i | 0.128839 | − | 0.0418623i | ||||
\(637\) | − | 4.90170i | − | 0.194212i | ||||||
\(638\) | −18.6868 | − | 1.67383i | −0.739819 | − | 0.0662676i | ||||
\(639\) | 28.6525 | 1.13347 | ||||||||
\(640\) | 5.13632 | − | 10.0806i | 0.203031 | − | 0.398470i | ||||
\(641\) | 15.4443 | + | 11.2209i | 0.610012 | + | 0.443200i | 0.849419 | − | 0.527720i | \(-0.176953\pi\) |
−0.239407 | + | 0.970919i | \(0.576953\pi\) | |||||||
\(642\) | −1.85249 | − | 0.293406i | −0.0731120 | − | 0.0115798i | ||||
\(643\) | −19.3314 | − | 6.28115i | −0.762356 | − | 0.247704i | −0.0980665 | − | 0.995180i | \(-0.531266\pi\) |
−0.664290 | + | 0.747475i | \(0.731266\pi\) | |||||||
\(644\) | 4.70228 | + | 1.52786i | 0.185296 | + | 0.0602063i | ||||
\(645\) | −0.673542 | − | 0.927051i | −0.0265207 | − | 0.0365026i | ||||
\(646\) | 4.31636 | − | 0.683644i | 0.169825 | − | 0.0268976i | ||||
\(647\) | 1.52786 | + | 4.70228i | 0.0600665 | + | 0.184866i | 0.976587 | − | 0.215121i | \(-0.0690146\pi\) |
−0.916521 | + | 0.399987i | \(0.869015\pi\) | |||||||
\(648\) | −11.4164 | + | 11.4164i | −0.448479 | + | 0.448479i | ||||
\(649\) | 2.00000 | + | 4.97980i | 0.0785069 | + | 0.195474i | ||||
\(650\) | 0.763932 | − | 0.763932i | 0.0299639 | − | 0.0299639i | ||||
\(651\) | −0.898056 | + | 0.291796i | −0.0351976 | + | 0.0114364i | ||||
\(652\) | −7.09017 | − | 5.15131i | −0.277672 | − | 0.201741i | ||||
\(653\) | 13.6578 | + | 18.7984i | 0.534472 | + | 0.735637i | 0.987804 | − | 0.155705i | \(-0.0497648\pi\) |
−0.453332 | + | 0.891342i | \(0.649765\pi\) | |||||||
\(654\) | −12.8280 | + | 6.53618i | −0.501614 | + | 0.255585i | ||||
\(655\) | −4.73607 | + | 14.5761i | −0.185053 | + | 0.569536i | ||||
\(656\) | −23.8885 | + | 17.3560i | −0.932691 | + | 0.677640i | ||||
\(657\) | 16.6353 | + | 12.0862i | 0.649003 | + | 0.471528i | ||||
\(658\) | 5.36789 | − | 10.5351i | 0.209262 | − | 0.410700i | ||||
\(659\) | − | 3.14590i | − | 0.122547i | −0.998121 | − | 0.0612734i | \(-0.980484\pi\) | ||
0.998121 | − | 0.0612734i | \(-0.0195162\pi\) | |||||||
\(660\) | −3.47214 | − | 2.17963i | −0.135153 | − | 0.0848419i | ||||
\(661\) | − | 31.7082i | − | 1.23331i | −0.787235 | − | 0.616653i | \(-0.788488\pi\) | ||
0.787235 | − | 0.616653i | \(-0.211512\pi\) | |||||||
\(662\) | 12.6441 | + | 6.44251i | 0.491428 | + | 0.250395i | ||||
\(663\) | 0.145898 | + | 0.106001i | 0.00566621 | + | 0.00411674i | ||||
\(664\) | −12.9010 | − | 2.04331i | −0.500654 | − | 0.0792959i | ||||
\(665\) | 1.90983 | − | 5.87785i | 0.0740600 | − | 0.227933i | ||||
\(666\) | −13.4471 | − | 26.3913i | −0.521063 | − | 1.02264i | ||||
\(667\) | −7.60845 | − | 10.4721i | −0.294600 | − | 0.405483i | ||||
\(668\) | −6.49839 | + | 8.94427i | −0.251430 | + | 0.346064i | ||||
\(669\) | −1.45309 | + | 0.472136i | −0.0561795 | + | 0.0182538i | ||||
\(670\) | 13.3262 | + | 13.3262i | 0.514837 | + | 0.514837i | ||||
\(671\) | 12.5623 | + | 7.88597i | 0.484962 | + | 0.304434i | ||||
\(672\) | 1.88854 | − | 1.88854i | 0.0728522 | − | 0.0728522i | ||||
\(673\) | 8.06231 | + | 24.8132i | 0.310779 | + | 0.956480i | 0.977457 | + | 0.211134i | \(0.0677156\pi\) |
−0.666678 | + | 0.745346i | \(0.732284\pi\) | |||||||
\(674\) | 7.54183 | + | 47.6172i | 0.290500 | + | 1.83415i | ||||
\(675\) | −2.04087 | − | 2.80902i | −0.0785531 | − | 0.108119i | ||||
\(676\) | 23.6174 | + | 7.67376i | 0.908362 | + | 0.295145i | ||||
\(677\) | 36.3117 | + | 11.7984i | 1.39557 | + | 0.453448i | 0.907756 | − | 0.419499i | \(-0.137794\pi\) |
0.487815 | + | 0.872947i | \(0.337794\pi\) | |||||||
\(678\) | 2.26454 | − | 14.2978i | 0.0869693 | − | 0.549102i | ||||
\(679\) | −1.79837 | − | 1.30660i | −0.0690153 | − | 0.0501425i | ||||
\(680\) | 0.490475 | − | 0.962611i | 0.0188088 | − | 0.0369144i | ||||
\(681\) | 12.8197 | 0.491250 | ||||||||
\(682\) | −8.62750 | − | 3.68323i | −0.330364 | − | 0.141038i | ||||
\(683\) | − | 27.7771i | − | 1.06286i | −0.847102 | − | 0.531430i | \(-0.821655\pi\) | ||
0.847102 | − | 0.531430i | \(-0.178345\pi\) | |||||||
\(684\) | 13.0902 | + | 40.2874i | 0.500515 | + | 1.54043i | ||||
\(685\) | −9.31881 | + | 12.8262i | −0.356053 | + | 0.490065i | ||||
\(686\) | −14.3161 | − | 2.26745i | −0.546593 | − | 0.0865718i | ||||
\(687\) | 0.888544 | − | 2.73466i | 0.0339001 | − | 0.104334i | ||||
\(688\) | 7.05342 | + | 2.29180i | 0.268909 | + | 0.0873739i | ||||
\(689\) | −1.70820 | + | 1.24108i | −0.0650774 | + | 0.0472815i | ||||
\(690\) | −0.442463 | − | 2.79360i | −0.0168443 | − | 0.106351i | ||||
\(691\) | 9.14729 | − | 2.97214i | 0.347979 | − | 0.113065i | −0.129812 | − | 0.991539i | \(-0.541437\pi\) |
0.477792 | + | 0.878473i | \(0.341437\pi\) | |||||||
\(692\) | −18.4721 | −0.702205 | ||||||||
\(693\) | 4.25325 | + | 5.09017i | 0.161568 | + | 0.193360i | ||||
\(694\) | −21.5066 | + | 21.5066i | −0.816379 | + | 0.816379i | ||||
\(695\) | −0.472136 | − | 1.45309i | −0.0179091 | − | 0.0551187i | ||||
\(696\) | −6.90617 | + | 1.09383i | −0.261778 | + | 0.0414615i | ||||
\(697\) | −2.28115 | + | 1.65735i | −0.0864048 | + | 0.0627768i | ||||
\(698\) | 10.8789 | + | 21.3510i | 0.411772 | + | 0.808148i | ||||
\(699\) | −0.0857567 | − | 0.0278640i | −0.00324362 | − | 0.00105391i | ||||
\(700\) | −0.898056 | − | 1.23607i | −0.0339433 | − | 0.0467190i | ||||
\(701\) | 6.08985 | − | 8.38197i | 0.230011 | − | 0.316582i | −0.678375 | − | 0.734716i | \(-0.737316\pi\) |
0.908386 | + | 0.418133i | \(0.137316\pi\) | |||||||
\(702\) | −1.70299 | + | 3.34231i | −0.0642754 | + | 0.126148i | ||||
\(703\) | −64.7214 | −2.44101 | ||||||||
\(704\) | 26.4721 | − | 1.79611i | 0.997706 | − | 0.0676935i | ||||
\(705\) | −6.76393 | −0.254744 | ||||||||
\(706\) | −6.96876 | + | 13.6770i | −0.262273 | + | 0.514739i | ||||
\(707\) | 6.36737 | − | 8.76393i | 0.239470 | − | 0.329602i | ||||
\(708\) | 1.17557 | + | 1.61803i | 0.0441806 | + | 0.0608094i | ||||
\(709\) | −25.6255 | − | 8.32624i | −0.962387 | − | 0.312698i | −0.214648 | − | 0.976691i | \(-0.568860\pi\) |
−0.747739 | + | 0.663993i | \(0.768860\pi\) | |||||||
\(710\) | −7.02666 | − | 13.7906i | −0.263706 | − | 0.517552i | ||||
\(711\) | −4.85410 | + | 3.52671i | −0.182043 | + | 0.132262i | ||||
\(712\) | −15.5389 | + | 2.46112i | −0.582344 | + | 0.0922343i | ||||
\(713\) | −2.00000 | − | 6.15537i | −0.0749006 | − | 0.230520i | ||||
\(714\) | 0.180340 | − | 0.180340i | 0.00674905 | − | 0.00674905i | ||||
\(715\) | 2.45714 | + | 0.618034i | 0.0918919 | + | 0.0231132i | ||||
\(716\) | −14.2918 | −0.534109 | ||||||||
\(717\) | −15.6659 | + | 5.09017i | −0.585055 | + | 0.190096i | ||||
\(718\) | 4.63354 | + | 29.2550i | 0.172922 | + | 1.09179i | ||||
\(719\) | 17.8541 | − | 12.9718i | 0.665846 | − | 0.483765i | −0.202786 | − | 0.979223i | \(-0.565000\pi\) |
0.868632 | + | 0.495458i | \(0.165000\pi\) | |||||||
\(720\) | 9.95959 | + | 3.23607i | 0.371172 | + | 0.120601i | ||||
\(721\) | −2.76393 | + | 8.50651i | −0.102934 | + | 0.316799i | ||||
\(722\) | 64.8827 | + | 10.2764i | 2.41468 | + | 0.382448i | ||||
\(723\) | −7.98424 | + | 10.9894i | −0.296937 | + | 0.408699i | ||||
\(724\) | 12.3607 | + | 38.0423i | 0.459381 | + | 1.41383i | ||||
\(725\) | 4.00000i | 0.148556i | ||||||||
\(726\) | 0.207548 | − | 9.61211i | 0.00770283 | − | 0.356739i | ||||
\(727\) | −2.76393 | −0.102509 | −0.0512543 | − | 0.998686i | \(-0.516322\pi\) | ||||
−0.0512543 | + | 0.998686i | \(0.516322\pi\) | |||||||
\(728\) | −0.749378 | + | 1.47074i | −0.0277738 | + | 0.0545092i | ||||
\(729\) | −6.88197 | − | 5.00004i | −0.254888 | − | 0.185187i | ||||
\(730\) | 1.73758 | − | 10.9706i | 0.0643106 | − | 0.406041i | ||||
\(731\) | 0.673542 | + | 0.218847i | 0.0249118 | + | 0.00809435i | ||||
\(732\) | 5.25731 | + | 1.70820i | 0.194316 | + | 0.0631370i | ||||
\(733\) | −13.2493 | − | 18.2361i | −0.489373 | − | 0.673565i | 0.490899 | − | 0.871217i | \(-0.336668\pi\) |
−0.980272 | + | 0.197652i | \(0.936668\pi\) | |||||||
\(734\) | −1.70530 | − | 10.7668i | −0.0629437 | − | 0.397411i | ||||
\(735\) | 1.22542 | + | 3.77147i | 0.0452005 | + | 0.139113i | ||||
\(736\) | 12.9443 | + | 12.9443i | 0.477132 | + | 0.477132i | ||||
\(737\) | −10.7812 | + | 42.8631i | −0.397129 | + | 1.57888i | ||||
\(738\) | −19.3262 | − | 19.3262i | −0.711409 | − | 0.711409i | ||||
\(739\) | 22.7396 | − | 7.38854i | 0.836490 | − | 0.271792i | 0.140713 | − | 0.990050i | \(-0.455060\pi\) |
0.695776 | + | 0.718258i | \(0.255060\pi\) | |||||||
\(740\) | −9.40456 | + | 12.9443i | −0.345719 | + | 0.475841i | ||||
\(741\) | 2.24514 | + | 3.09017i | 0.0824773 | + | 0.113520i | ||||
\(742\) | 1.35564 | + | 2.66059i | 0.0497670 | + | 0.0976733i | ||||
\(743\) | 9.32624 | − | 28.7032i | 0.342146 | − | 1.05302i | −0.620947 | − | 0.783852i | \(-0.713252\pi\) |
0.963094 | − | 0.269166i | \(-0.0867481\pi\) | |||||||
\(744\) | −3.45309 | − | 0.546915i | −0.126596 | − | 0.0200509i | ||||
\(745\) | 5.47214 | + | 3.97574i | 0.200484 | + | 0.145660i | ||||
\(746\) | −20.7561 | − | 10.5758i | −0.759935 | − | 0.387206i | ||||
\(747\) | − | 12.0902i | − | 0.442356i | ||||||
\(748\) | 2.52786 | − | 0.171513i | 0.0924279 | − | 0.00627115i | ||||
\(749\) | − | 1.63932i | − | 0.0598995i | ||||||
\(750\) | −0.396802 | + | 0.778768i | −0.0144892 | + | 0.0284366i | ||||
\(751\) | −3.09017 | − | 2.24514i | −0.112762 | − | 0.0819263i | 0.529975 | − | 0.848013i | \(-0.322201\pi\) |
−0.642737 | + | 0.766087i | \(0.722201\pi\) | |||||||
\(752\) | 35.4164 | − | 25.7315i | 1.29150 | − | 0.938332i | ||||
\(753\) | −2.29180 | + | 7.05342i | −0.0835177 | + | 0.257041i | ||||
\(754\) | 3.85044 | − | 1.96190i | 0.140225 | − | 0.0714481i | ||||
\(755\) | −8.16348 | − | 11.2361i | −0.297100 | − | 0.408922i | ||||
\(756\) | 4.29180 | + | 3.11817i | 0.156091 | + | 0.113407i | ||||
\(757\) | 29.0462 | − | 9.43769i | 1.05570 | − | 0.343019i | 0.270799 | − | 0.962636i | \(-0.412712\pi\) |
0.784904 | + | 0.619617i | \(0.212712\pi\) | |||||||
\(758\) | −31.2705 | + | 31.2705i | −1.13580 | + | 1.13580i | ||||
\(759\) | 5.09017 | − | 4.25325i | 0.184761 | − | 0.154383i | ||||
\(760\) | 16.1803 | − | 16.1803i | 0.586923 | − | 0.586923i | ||||
\(761\) | 2.73607 | + | 8.42075i | 0.0991824 | + | 0.305252i | 0.988321 | − | 0.152386i | \(-0.0486956\pi\) |
−0.889139 | + | 0.457638i | \(0.848696\pi\) | |||||||
\(762\) | −15.2870 | + | 2.42122i | −0.553789 | + | 0.0877116i | ||||
\(763\) | −7.39645 | − | 10.1803i | −0.267769 | − | 0.368553i | ||||
\(764\) | 23.1684 | + | 7.52786i | 0.838203 | + | 0.272349i | ||||
\(765\) | 0.951057 | + | 0.309017i | 0.0343855 | + | 0.0111725i | ||||
\(766\) | −35.9093 | − | 5.68747i | −1.29745 | − | 0.205497i | ||||
\(767\) | −1.00000 | − | 0.726543i | −0.0361079 | − | 0.0262339i | ||||
\(768\) | 9.40456 | − | 3.05573i | 0.339358 | − | 0.110264i | ||||
\(769\) | −4.83282 | −0.174276 | −0.0871379 | − | 0.996196i | \(-0.527772\pi\) | ||||
−0.0871379 | + | 0.996196i | \(0.527772\pi\) | |||||||
\(770\) | 1.40687 | − | 3.29541i | 0.0507000 | − | 0.118758i | ||||
\(771\) | − | 10.3820i | − | 0.373897i | ||||||
\(772\) | 11.4127 | − | 3.70820i | 0.410751 | − | 0.133461i | ||||
\(773\) | 4.18774 | − | 5.76393i | 0.150623 | − | 0.207314i | −0.727038 | − | 0.686598i | \(-0.759103\pi\) |
0.877660 | + | 0.479283i | \(0.159103\pi\) | |||||||
\(774\) | −1.07388 | + | 6.78022i | −0.0385999 | + | 0.243710i | ||||
\(775\) | −0.618034 | + | 1.90211i | −0.0222004 | + | 0.0683259i | ||||
\(776\) | −3.73645 | − | 7.33320i | −0.134131 | − | 0.263247i | ||||
\(777\) | −3.05573 | + | 2.22012i | −0.109624 | + | 0.0796462i | ||||
\(778\) | 12.2415 | − | 1.93886i | 0.438878 | − | 0.0695115i | ||||
\(779\) | −56.7984 | + | 18.4549i | −2.03501 | + | 0.661216i | ||||
\(780\) | 0.944272 | 0.0338104 | ||||||||
\(781\) | 19.2986 | − | 30.7426i | 0.690560 | − | 1.10006i | ||||
\(782\) | 1.23607 | + | 1.23607i | 0.0442017 | + | 0.0442017i | ||||
\(783\) | −4.29180 | − | 13.2088i | −0.153376 | − | 0.472044i | ||||
\(784\) | −20.7639 | − | 15.0859i | −0.741569 | − | 0.538781i | ||||
\(785\) | 7.85410 | − | 5.70634i | 0.280325 | − | 0.203668i | ||||
\(786\) | −11.9356 | + | 6.08149i | −0.425728 | + | 0.216919i | ||||
\(787\) | 10.4944 | + | 3.40983i | 0.374084 | + | 0.121547i | 0.490024 | − | 0.871709i | \(-0.336988\pi\) |
−0.115940 | + | 0.993256i | \(0.536988\pi\) | |||||||
\(788\) | −24.1803 | + | 17.5680i | −0.861389 | + | 0.625836i | ||||
\(789\) | 8.99602 | − | 12.3820i | 0.320267 | − | 0.440810i | ||||
\(790\) | 2.88783 | + | 1.47142i | 0.102744 | + | 0.0523509i | ||||
\(791\) | 12.6525 | 0.449870 | ||||||||
\(792\) | 5.47515 | + | 23.9413i | 0.194551 | + | 0.850715i | ||||
\(793\) | −3.41641 | −0.121320 | ||||||||
\(794\) | −39.5870 | − | 20.1706i | −1.40489 | − | 0.715827i | ||||
\(795\) | 1.00406 | − | 1.38197i | 0.0356102 | − | 0.0490133i | ||||
\(796\) | −10.1716 | − | 14.0000i | −0.360523 | − | 0.496217i | ||||
\(797\) | −21.0948 | − | 6.85410i | −0.747215 | − | 0.242785i | −0.0894324 | − | 0.995993i | \(-0.528505\pi\) |
−0.657782 | + | 0.753208i | \(0.728505\pi\) | |||||||
\(798\) | 4.81305 | − | 2.45237i | 0.170380 | − | 0.0868131i | ||||
\(799\) | 3.38197 | − | 2.45714i | 0.119645 | − | 0.0869274i | ||||
\(800\) | −0.884927 | − | 5.58721i | −0.0312869 | − | 0.197538i | ||||
\(801\) | −4.50000 | − | 13.8496i | −0.159000 | − | 0.489351i | ||||
\(802\) | −35.4508 | − | 35.4508i | −1.25181 | − | 1.25181i | ||||
\(803\) | 24.1724 | − | 9.70820i | 0.853027 | − | 0.342595i | ||||
\(804\) | 16.4721i | 0.580927i | ||||||||
\(805\) | 2.35114 | − | 0.763932i | 0.0828668 | − | 0.0269251i | ||||
\(806\) | 2.13412 | − | 0.338012i | 0.0751713 | − | 0.0119060i | ||||
\(807\) | 6.94427 | − | 5.04531i | 0.244450 | − | 0.177603i | ||||
\(808\) | 35.7365 | − | 18.2087i | 1.25721 | − | 0.640579i | ||||
\(809\) | 9.68034 | − | 29.7930i | 0.340343 | − | 1.04747i | −0.623687 | − | 0.781674i | \(-0.714366\pi\) |
0.964030 | − | 0.265793i | \(-0.0856338\pi\) | |||||||
\(810\) | −1.26284 | + | 7.97323i | −0.0443715 | + | 0.280151i | ||||
\(811\) | −14.1926 | + | 19.5344i | −0.498370 | + | 0.685947i | −0.981904 | − | 0.189378i | \(-0.939353\pi\) |
0.483535 | + | 0.875325i | \(0.339353\pi\) | |||||||
\(812\) | −1.88854 | − | 5.81234i | −0.0662749 | − | 0.203973i | ||||
\(813\) | − | 9.70820i | − | 0.340482i | ||||||
\(814\) | −37.3737 | − | 3.34766i | −1.30995 | − | 0.117336i | ||||
\(815\) | −4.38197 | −0.153494 | ||||||||
\(816\) | 0.898056 | − | 0.291796i | 0.0314382 | − | 0.0102149i | ||||
\(817\) | 12.1353 | + | 8.81678i | 0.424559 | + | 0.308460i | ||||
\(818\) | 30.7296 | + | 4.86710i | 1.07444 | + | 0.170174i | ||||
\(819\) | −1.45309 | − | 0.472136i | −0.0507749 | − | 0.0164978i | ||||
\(820\) | −4.56231 | + | 14.0413i | −0.159323 | + | 0.490345i | ||||
\(821\) | −2.41665 | − | 3.32624i | −0.0843418 | − | 0.116087i | 0.764761 | − | 0.644314i | \(-0.222857\pi\) |
−0.849103 | + | 0.528227i | \(0.822857\pi\) | |||||||
\(822\) | −13.6864 | + | 2.16771i | −0.477368 | + | 0.0756076i | ||||
\(823\) | −4.65248 | − | 14.3188i | −0.162175 | − | 0.499124i | 0.836642 | − | 0.547750i | \(-0.184516\pi\) |
−0.998817 | + | 0.0486265i | \(0.984516\pi\) | |||||||
\(824\) | −23.4164 | + | 23.4164i | −0.815749 | + | 0.815749i | ||||
\(825\) | −2.04508 | + | 0.138757i | −0.0712007 | + | 0.00483091i | ||||
\(826\) | −1.23607 | + | 1.23607i | −0.0430083 | + | 0.0430083i | ||||
\(827\) | −41.6547 | + | 13.5344i | −1.44848 | + | 0.470639i | −0.924529 | − | 0.381112i | \(-0.875541\pi\) |
−0.523948 | + | 0.851750i | \(0.675541\pi\) | |||||||
\(828\) | −9.95959 | + | 13.7082i | −0.346120 | + | 0.476393i | ||||
\(829\) | −23.1684 | − | 31.8885i | −0.804671 | − | 1.10753i | −0.992124 | − | 0.125261i | \(-0.960023\pi\) |
0.187453 | − | 0.982274i | \(-0.439977\pi\) | |||||||
\(830\) | −5.81906 | + | 2.96496i | −0.201983 | + | 0.102915i | ||||
\(831\) | 2.56231 | − | 7.88597i | 0.0888854 | − | 0.273561i | ||||
\(832\) | −4.94427 | + | 3.59222i | −0.171412 | + | 0.124538i | ||||
\(833\) | −1.98278 | − | 1.44057i | −0.0686992 | − | 0.0499129i | ||||
\(834\) | 0.606260 | − | 1.18985i | 0.0209931 | − | 0.0412012i | ||||
\(835\) | 5.52786i | 0.191300i | ||||||||
\(836\) | 52.0431 | + | 13.0902i | 1.79995 | + | 0.452733i | ||||
\(837\) | − | 6.94427i | − | 0.240029i | ||||||
\(838\) | −8.70689 | − | 4.43638i | −0.300775 | − | 0.153252i | ||||
\(839\) | −39.7426 | − | 28.8747i | −1.37207 | − | 0.996866i | −0.997572 | − | 0.0696377i | \(-0.977816\pi\) |
−0.374496 | − | 0.927228i | \(-0.622184\pi\) | |||||||
\(840\) | 0.208903 | − | 1.31896i | 0.00720784 | − | 0.0455085i | ||||
\(841\) | 4.01722 | − | 12.3637i | 0.138525 | − | 0.426336i | ||||
\(842\) | −15.1058 | − | 29.6468i | −0.520581 | − | 1.02170i | ||||
\(843\) | 3.57971 | + | 4.92705i | 0.123292 | + | 0.169697i | ||||
\(844\) | 13.1803 | + | 9.57608i | 0.453686 | + | 0.329622i | ||||
\(845\) | 11.8087 | − | 3.83688i | 0.406232 | − | 0.131993i | ||||
\(846\) | 28.6525 | + | 28.6525i | 0.985092 | + | 0.985092i | ||||
\(847\) | 8.32624 | − | 1.13508i | 0.286093 | − | 0.0390019i | ||||
\(848\) | 11.0557i | 0.379655i | ||||||||
\(849\) | 2.00000 | + | 6.15537i | 0.0686398 | + | 0.211252i | ||||
\(850\) | −0.0845030 | − | 0.533531i | −0.00289843 | − | 0.0183000i | ||||
\(851\) | −15.2169 | − | 20.9443i | −0.521629 | − | 0.717960i | ||||
\(852\) | 4.18034 | − | 12.8658i | 0.143216 | − | 0.440774i | ||||
\(853\) | −2.73466 | − | 0.888544i | −0.0936329 | − | 0.0304232i | 0.261826 | − | 0.965115i | \(-0.415675\pi\) |
−0.355459 | + | 0.934692i | \(0.615675\pi\) | |||||||
\(854\) | −0.755818 | + | 4.77205i | −0.0258636 | + | 0.163296i | ||||
\(855\) | 17.1353 | + | 12.4495i | 0.586013 | + | 0.425764i | ||||
\(856\) | 2.75550 | − | 5.40798i | 0.0941811 | − | 0.184841i | ||||
\(857\) | 0.798374 | 0.0272719 | 0.0136360 | − | 0.999907i | \(-0.495659\pi\) | ||||
0.0136360 | + | 0.999907i | \(0.495659\pi\) | |||||||
\(858\) | 1.13663 | + | 1.90056i | 0.0388040 | + | 0.0648842i | ||||
\(859\) | − | 44.6312i | − | 1.52280i | −0.648284 | − | 0.761398i | \(-0.724513\pi\) | ||
0.648284 | − | 0.761398i | \(-0.275487\pi\) | |||||||
\(860\) | 3.52671 | − | 1.14590i | 0.120260 | − | 0.0390748i | ||||
\(861\) | −2.04860 | + | 2.81966i | −0.0698162 | + | 0.0960938i | ||||
\(862\) | 16.7616 | + | 2.65478i | 0.570903 | + | 0.0904222i | ||||
\(863\) | 6.05573 | − | 18.6376i | 0.206139 | − | 0.634432i | −0.793525 | − | 0.608537i | \(-0.791757\pi\) |
0.999665 | − | 0.0258945i | \(-0.00824340\pi\) | |||||||
\(864\) | 8.91699 | + | 17.5006i | 0.303362 | + | 0.595382i | ||||
\(865\) | −7.47214 | + | 5.42882i | −0.254060 | + | 0.184586i | ||||
\(866\) | −4.21102 | − | 26.5874i | −0.143096 | − | 0.903475i | ||||
\(867\) | −9.90659 | + | 3.21885i | −0.336446 | + | 0.109318i | ||||
\(868\) | − | 3.05573i | − | 0.103718i | ||||||
\(869\) | 0.514540 | + | 7.58359i | 0.0174546 | + | 0.257256i | ||||
\(870\) | −2.47214 | + | 2.47214i | −0.0838133 | + | 0.0838133i | ||||
\(871\) | −3.14590 | − | 9.68208i | −0.106595 | − | 0.328065i | ||||
\(872\) | −7.28832 | − | 46.0166i | −0.246814 | − | 1.55832i | ||||
\(873\) | 6.16312 | − | 4.47777i | 0.208590 | − | 0.151549i | ||||
\(874\) | 16.8088 | + | 32.9892i | 0.568567 | + | 1.11587i | ||||
\(875\) | −0.726543 | − | 0.236068i | −0.0245616 | − | 0.00798055i | ||||
\(876\) | 7.85410 | − | 5.70634i | 0.265366 | − | 0.192799i | ||||
\(877\) | −9.78808 | + | 13.4721i | −0.330520 | + | 0.454922i | −0.941643 | − | 0.336614i | \(-0.890718\pi\) |
0.611123 | + | 0.791536i | \(0.290718\pi\) | |||||||
\(878\) | −4.27115 | + | 8.38261i | −0.144144 | + | 0.282899i | ||||
\(879\) | −18.9443 | −0.638974 | ||||||||
\(880\) | 10.1803 | − | 8.50651i | 0.343179 | − | 0.286754i | ||||
\(881\) | −6.43769 | −0.216891 | −0.108446 | − | 0.994102i | \(-0.534587\pi\) | ||||
−0.108446 | + | 0.994102i | \(0.534587\pi\) | |||||||
\(882\) | 10.7852 | − | 21.1672i | 0.363157 | − | 0.712736i | ||||
\(883\) | 9.42481 | − | 12.9721i | 0.317170 | − | 0.436547i | −0.620430 | − | 0.784261i | \(-0.713042\pi\) |
0.937601 | + | 0.347714i | \(0.113042\pi\) | |||||||
\(884\) | −0.472136 | + | 0.343027i | −0.0158797 | + | 0.0115372i | ||||
\(885\) | 0.951057 | + | 0.309017i | 0.0319694 | + | 0.0103875i | ||||
\(886\) | 22.5293 | + | 44.2162i | 0.756886 | + | 1.48547i | ||||
\(887\) | −12.2361 | + | 8.89002i | −0.410847 | + | 0.298498i | −0.773945 | − | 0.633253i | \(-0.781719\pi\) |
0.363098 | + | 0.931751i | \(0.381719\pi\) | |||||||
\(888\) | −13.8123 | + | 2.18766i | −0.463512 | + | 0.0734131i | ||||
\(889\) | −4.18034 | − | 12.8658i | −0.140204 | − | 0.431504i | ||||
\(890\) | −5.56231 | + | 5.56231i | −0.186449 | + | 0.186449i | ||||
\(891\) | −17.5680 | + | 7.05573i | −0.588552 | + | 0.236376i | ||||
\(892\) | − | 4.94427i | − | 0.165546i | ||||||
\(893\) | 84.2075 | − | 27.3607i | 2.81790 | − | 0.915590i | ||||
\(894\) | 0.924824 | + | 5.83911i | 0.0309307 | + | 0.195289i | ||||
\(895\) | −5.78115 | + | 4.20025i | −0.193243 | + | 0.140399i | ||||
\(896\) | 3.92380 | + | 7.70088i | 0.131085 | + | 0.257268i | ||||
\(897\) | −0.472136 | + | 1.45309i | −0.0157642 | + | 0.0485171i | ||||
\(898\) | 23.5418 | + | 3.72866i | 0.785602 | + | 0.124427i | ||||
\(899\) | −4.70228 | + | 6.47214i | −0.156830 | + | 0.215858i | ||||
\(900\) | 4.97980 | − | 1.61803i | 0.165993 | − | 0.0539345i | ||||
\(901\) | 1.05573i | 0.0351714i | ||||||||
\(902\) | −33.7531 | + | 7.71904i | −1.12386 | + | 0.257016i | ||||
\(903\) | 0.875388 | 0.0291311 | ||||||||
\(904\) | 41.7394 | + | 21.2673i | 1.38823 | + | 0.707340i | ||||
\(905\) | 16.1803 | + | 11.7557i | 0.537853 | + | 0.390773i | ||||
\(906\) | 1.89896 | − | 11.9896i | 0.0630888 | − | 0.398327i | ||||
\(907\) | 42.8958 | + | 13.9377i | 1.42433 | + | 0.462794i | 0.916976 | − | 0.398943i | \(-0.130623\pi\) |
0.507356 | + | 0.861736i | \(0.330623\pi\) | |||||||
\(908\) | −12.8197 | + | 39.4549i | −0.425435 | + | 1.30936i | ||||
\(909\) | 21.8213 | + | 30.0344i | 0.723767 | + | 0.996180i | ||||
\(910\) | 0.129109 | + | 0.815163i | 0.00427993 | + | 0.0270224i | ||||
\(911\) | −14.0689 | − | 43.2996i | −0.466123 | − | 1.43458i | −0.857565 | − | 0.514376i | \(-0.828024\pi\) |
0.391442 | − | 0.920203i | \(-0.371976\pi\) | |||||||
\(912\) | 20.0000 | 0.662266 | ||||||||
\(913\) | −12.9721 | − | 8.14324i | −0.429315 | − | 0.269502i | ||||
\(914\) | 29.1591 | + | 29.1591i | 0.964496 | + | 0.964496i | ||||
\(915\) | 2.62866 | − | 0.854102i | 0.0869007 | − | 0.0282357i | ||||
\(916\) | 7.52786 | + | 5.46931i | 0.248728 | + | 0.180711i | ||||
\(917\) | −6.88191 | − | 9.47214i | −0.227261 | − | 0.312797i | ||||
\(918\) | 0.851497 | + | 1.67116i | 0.0281036 | + | 0.0551564i | ||||
\(919\) | −6.36068 | + | 19.5762i | −0.209819 | + | 0.645758i | 0.789661 | + | 0.613543i | \(0.210256\pi\) |
−0.999481 | + | 0.0322151i | \(0.989744\pi\) | |||||||
\(920\) | 9.04029 | + | 1.43184i | 0.298050 | + | 0.0472064i | ||||
\(921\) | 2.78115 | + | 2.02063i | 0.0916421 | + | 0.0665819i | ||||
\(922\) | −49.8948 | − | 25.4227i | −1.64320 | − | 0.837251i | ||||
\(923\) | 8.36068i | 0.275195i | ||||||||
\(924\) | 2.90617 | − | 1.16718i | 0.0956060 | − | 0.0383975i | ||||
\(925\) | 8.00000i | 0.263038i | ||||||||
\(926\) | 20.4737 | − | 40.1819i | 0.672808 | − | 1.32046i | ||||
\(927\) | −24.7984 | − | 18.0171i | −0.814485 | − | 0.591758i | ||||
\(928\) | 3.53971 | − | 22.3488i | 0.116197 | − | 0.733636i | ||||
\(929\) | 0.319660 | − | 0.983813i | 0.0104877 | − | 0.0322778i | −0.945676 | − | 0.325111i | \(-0.894598\pi\) |
0.956163 | + | 0.292834i | \(0.0945982\pi\) | |||||||
\(930\) | −1.55754 | + | 0.793604i | −0.0510736 | + | 0.0260233i | ||||
\(931\) | −30.5118 | − | 41.9959i | −0.999985 | − | 1.37636i | ||||
\(932\) | 0.171513 | − | 0.236068i | 0.00561811 | − | 0.00773266i | ||||
\(933\) | −0.792055 | + | 0.257354i | −0.0259307 | + | 0.00842540i | ||||
\(934\) | −17.5279 | + | 17.5279i | −0.573529 | + | 0.573529i | ||||
\(935\) | 0.972136 | − | 0.812299i | 0.0317922 | − | 0.0265650i | ||||
\(936\) | −4.00000 | − | 4.00000i | −0.130744 | − | 0.130744i | ||||
\(937\) | 4.93769 | + | 15.1967i | 0.161307 | + | 0.496453i | 0.998745 | − | 0.0500794i | \(-0.0159474\pi\) |
−0.837438 | + | 0.546533i | \(0.815947\pi\) | |||||||
\(938\) | −14.2199 | + | 2.25221i | −0.464297 | + | 0.0735374i | ||||
\(939\) | 10.4414 | + | 14.3713i | 0.340741 | + | 0.468990i | ||||
\(940\) | 6.76393 | − | 20.8172i | 0.220615 | − | 0.678984i | ||||
\(941\) | −37.2752 | − | 12.1115i | −1.21514 | − | 0.394822i | −0.369829 | − | 0.929100i | \(-0.620584\pi\) |
−0.845309 | + | 0.534278i | \(0.820584\pi\) | |||||||
\(942\) | 8.38081 | + | 1.32739i | 0.273062 | + | 0.0432487i | ||||
\(943\) | −19.3262 | − | 14.0413i | −0.629349 | − | 0.457249i | ||||
\(944\) | −6.15537 | + | 2.00000i | −0.200340 | + | 0.0650945i | ||||
\(945\) | 2.65248 | 0.0862850 | ||||||||
\(946\) | 6.55153 | + | 5.71898i | 0.213009 | + | 0.185940i | ||||
\(947\) | 52.3820i | 1.70219i | 0.525016 | + | 0.851093i | \(0.324059\pi\) | ||||
−0.525016 | + | 0.851093i | \(0.675941\pi\) | |||||||
\(948\) | 0.875388 | + | 2.69417i | 0.0284313 | + | 0.0875025i | ||||
\(949\) | −3.52671 | + | 4.85410i | −0.114482 | + | 0.157571i | ||||
\(950\) | 1.78980 | − | 11.3004i | 0.0580689 | − | 0.366632i | ||||
\(951\) | −1.12461 | + | 3.46120i | −0.0364680 | + | 0.112237i | ||||
\(952\) | 0.374689 | + | 0.735369i | 0.0121437 | + | 0.0238334i | ||||
\(953\) | 32.4787 | − | 23.5972i | 1.05209 | − | 0.764387i | 0.0794802 | − | 0.996836i | \(-0.474674\pi\) |
0.972609 | + | 0.232449i | \(0.0746740\pi\) | |||||||
\(954\) | −10.1074 | + | 1.60085i | −0.327238 | + | 0.0518294i | ||||
\(955\) | 11.5842 | − | 3.76393i | 0.374856 | − | 0.121798i | ||||
\(956\) | − | 53.3050i | − | 1.72401i | ||||||
\(957\) | −7.95148 | − | 2.00000i | −0.257035 | − | 0.0646508i | ||||
\(958\) | 16.3607 | + | 16.3607i | 0.528590 | + | 0.528590i | ||||
\(959\) | −3.74265 | − | 11.5187i | −0.120856 | − | 0.371958i | ||||
\(960\) | 2.90617 | − | 4.00000i | 0.0937962 | − | 0.129099i | ||||
\(961\) | 21.8435 | − | 15.8702i | 0.704628 | − | 0.511942i | ||||
\(962\) | 7.70088 | − | 3.92380i | 0.248286 | − | 0.126508i | ||||
\(963\) | 5.34307 | + | 1.73607i | 0.172178 | + | 0.0559440i | ||||
\(964\) | −25.8375 | − | 35.5623i | −0.832171 | − | 1.14538i | ||||
\(965\) | 3.52671 | − | 4.85410i | 0.113529 | − | 0.156259i | ||||
\(966\) | 1.92522 | + | 0.980949i | 0.0619430 | + | 0.0315615i | ||||
\(967\) | −58.7214 | −1.88835 | −0.944176 | − | 0.329442i | \(-0.893139\pi\) | ||||
−0.944176 | + | 0.329442i | \(0.893139\pi\) | |||||||
\(968\) | 29.3755 | + | 10.2509i | 0.944164 | + | 0.329476i | ||||
\(969\) | 1.90983 | 0.0613526 | ||||||||
\(970\) | −3.66660 | − | 1.86823i | −0.117727 | − | 0.0599851i | ||||
\(971\) | 26.4176 | − | 36.3607i | 0.847780 | − | 1.16687i | −0.136567 | − | 0.990631i | \(-0.543607\pi\) |
0.984347 | − | 0.176239i | \(-0.0563931\pi\) | |||||||
\(972\) | −22.5623 | + | 16.3925i | −0.723686 | + | 0.525789i | ||||
\(973\) | 1.11006 | + | 0.360680i | 0.0355868 | + | 0.0115629i | ||||
\(974\) | 13.7906 | − | 7.02666i | 0.441879 | − | 0.225149i | ||||
\(975\) | 0.381966 | − | 0.277515i | 0.0122327 | − | 0.00888758i | ||||
\(976\) | −10.5146 | + | 14.4721i | −0.336565 | + | 0.463242i | ||||
\(977\) | 1.56231 | + | 4.80828i | 0.0499826 | + | 0.153831i | 0.972933 | − | 0.231089i | \(-0.0742290\pi\) |
−0.922950 | + | 0.384920i | \(0.874229\pi\) | |||||||
\(978\) | −2.70820 | − | 2.70820i | −0.0865988 | − | 0.0865988i | ||||
\(979\) | −17.8908 | − | 4.50000i | −0.571793 | − | 0.143821i | ||||
\(980\) | −12.8328 | −0.409929 | ||||||||
\(981\) | 41.0139 | − | 13.3262i | 1.30947 | − | 0.425474i | ||||
\(982\) | 2.74550 | − | 0.434844i | 0.0876123 | − | 0.0138764i | ||||
\(983\) | 22.9443 | − | 16.6700i | 0.731809 | − | 0.531690i | −0.158326 | − | 0.987387i | \(-0.550610\pi\) |
0.890135 | + | 0.455697i | \(0.150610\pi\) | |||||||
\(984\) | −11.4977 | + | 5.85836i | −0.366533 | + | 0.186758i | ||||
\(985\) | −4.61803 | + | 14.2128i | −0.147143 | + | 0.452859i | ||||
\(986\) | 0.338012 | − | 2.13412i | 0.0107645 | − | 0.0679644i | ||||
\(987\) | 3.03719 | − | 4.18034i | 0.0966750 | − | 0.133062i | ||||
\(988\) | −11.7557 | + | 3.81966i | −0.373999 | + | 0.121520i | ||||
\(989\) | 6.00000i | 0.190789i | ||||||||
\(990\) | 9.25090 | + | 8.07533i | 0.294013 | + | 0.256651i | ||||
\(991\) | 32.0689 | 1.01870 | 0.509351 | − | 0.860559i | \(-0.329886\pi\) | ||||
0.509351 | + | 0.860559i | \(0.329886\pi\) | |||||||
\(992\) | 5.13632 | − | 10.0806i | 0.163078 | − | 0.320059i | ||||
\(993\) | 5.01722 | + | 3.64522i | 0.159217 | + | 0.115678i | ||||
\(994\) | 11.6782 | + | 1.84965i | 0.370411 | + | 0.0586673i | ||||
\(995\) | −8.22899 | − | 2.67376i | −0.260877 | − | 0.0847640i | ||||
\(996\) | −5.42882 | − | 1.76393i | −0.172019 | − | 0.0558923i | ||||
\(997\) | −27.5276 | − | 37.8885i | −0.871809 | − | 1.19994i | −0.978623 | − | 0.205663i | \(-0.934065\pi\) |
0.106814 | − | 0.994279i | \(-0.465935\pi\) | |||||||
\(998\) | −31.5929 | + | 5.00383i | −1.00006 | + | 0.158393i | ||||
\(999\) | −8.58359 | − | 26.4176i | −0.271573 | − | 0.835815i |
(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 | 440.2.bi.b.181.1 | yes | 8 | |
8.5 | even | 2 | inner | 440.2.bi.b.181.2 | yes | 8 | |
11.9 | even | 5 | inner | 440.2.bi.b.141.2 | yes | 8 | |
88.53 | even | 10 | inner | 440.2.bi.b.141.1 | ✓ | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
440.2.bi.b.141.1 | ✓ | 8 | 88.53 | even | 10 | inner | |
440.2.bi.b.141.2 | yes | 8 | 11.9 | even | 5 | inner | |
440.2.bi.b.181.1 | yes | 8 | 1.1 | even | 1 | trivial | |
440.2.bi.b.181.2 | yes | 8 | 8.5 | even | 2 | inner |