Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(5,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.l (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.7 | ||
Root | \(-1.68301 - 0.409224i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.101 |
Dual form | 126.2.l.a.5.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | 1.38631 | − | 1.03834i | 0.800385 | − | 0.599486i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.714925 | − | 1.23829i | 0.319724 | − | 0.553779i | −0.660706 | − | 0.750645i | \(-0.729743\pi\) |
0.980430 | + | 0.196866i | \(0.0630764\pi\) | |||||||
\(6\) | 1.03834 | + | 1.38631i | 0.423901 | + | 0.565958i | ||||
\(7\) | 0.327442 | + | 2.62541i | 0.123762 | + | 0.992312i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.843698 | − | 2.87892i | 0.281233 | − | 0.959640i | ||||
\(10\) | 1.23829 | + | 0.714925i | 0.391581 | + | 0.226079i | ||||
\(11\) | 2.96133 | − | 1.70972i | 0.892874 | − | 0.515501i | 0.0179923 | − | 0.999838i | \(-0.494273\pi\) |
0.874881 | + | 0.484337i | \(0.160939\pi\) | |||||||
\(12\) | −1.38631 | + | 1.03834i | −0.400193 | + | 0.299743i | ||||
\(13\) | −5.48813 | + | 3.16857i | −1.52213 | + | 0.878804i | −0.522476 | + | 0.852654i | \(0.674991\pi\) |
−0.999658 | + | 0.0261501i | \(0.991675\pi\) | |||||||
\(14\) | −2.62541 | + | 0.327442i | −0.701671 | + | 0.0875127i | ||||
\(15\) | −0.294657 | − | 2.45898i | −0.0760802 | − | 0.634907i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −1.14201 | + | 1.97802i | −0.276978 | + | 0.479739i | −0.970632 | − | 0.240569i | \(-0.922666\pi\) |
0.693655 | + | 0.720308i | \(0.255999\pi\) | |||||||
\(18\) | 2.87892 | + | 0.843698i | 0.678568 | + | 0.198861i | ||||
\(19\) | −1.87673 | + | 1.08353i | −0.430553 | + | 0.248580i | −0.699582 | − | 0.714552i | \(-0.746630\pi\) |
0.269029 | + | 0.963132i | \(0.413297\pi\) | |||||||
\(20\) | −0.714925 | + | 1.23829i | −0.159862 | + | 0.276889i | ||||
\(21\) | 3.18001 | + | 3.29963i | 0.693934 | + | 0.720038i | ||||
\(22\) | 1.70972 | + | 2.96133i | 0.364514 | + | 0.631357i | ||||
\(23\) | −6.97507 | − | 4.02706i | −1.45440 | − | 0.839699i | −0.455675 | − | 0.890146i | \(-0.650602\pi\) |
−0.998727 | + | 0.0504469i | \(0.983935\pi\) | |||||||
\(24\) | −1.03834 | − | 1.38631i | −0.211950 | − | 0.282979i | ||||
\(25\) | 1.47776 | + | 2.55956i | 0.295553 | + | 0.511912i | ||||
\(26\) | −3.16857 | − | 5.48813i | −0.621408 | − | 1.07631i | ||||
\(27\) | −1.81967 | − | 4.86711i | −0.350196 | − | 0.936676i | ||||
\(28\) | −0.327442 | − | 2.62541i | −0.0618808 | − | 0.496156i | ||||
\(29\) | −0.298879 | − | 0.172558i | −0.0555003 | − | 0.0320431i | 0.471993 | − | 0.881602i | \(-0.343535\pi\) |
−0.527493 | + | 0.849559i | \(0.676868\pi\) | |||||||
\(30\) | 2.45898 | − | 0.294657i | 0.448947 | − | 0.0537968i | ||||
\(31\) | − | 4.34228i | − | 0.779896i | −0.920837 | − | 0.389948i | \(-0.872493\pi\) | ||
0.920837 | − | 0.389948i | \(-0.127507\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 2.33004 | − | 5.44507i | 0.405607 | − | 0.947865i | ||||
\(34\) | −1.97802 | − | 1.14201i | −0.339227 | − | 0.195853i | ||||
\(35\) | 3.48511 | + | 1.47150i | 0.589091 | + | 0.248730i | ||||
\(36\) | −0.843698 | + | 2.87892i | −0.140616 | + | 0.479820i | ||||
\(37\) | 1.07786 | + | 1.86690i | 0.177199 | + | 0.306917i | 0.940920 | − | 0.338629i | \(-0.109963\pi\) |
−0.763721 | + | 0.645546i | \(0.776630\pi\) | |||||||
\(38\) | −1.08353 | − | 1.87673i | −0.175772 | − | 0.304447i | ||||
\(39\) | −4.31818 | + | 10.0912i | −0.691462 | + | 1.61588i | ||||
\(40\) | −1.23829 | − | 0.714925i | −0.195790 | − | 0.113040i | ||||
\(41\) | 0.202180 | + | 0.350186i | 0.0315752 | + | 0.0546898i | 0.881381 | − | 0.472406i | \(-0.156614\pi\) |
−0.849806 | + | 0.527096i | \(0.823281\pi\) | |||||||
\(42\) | −3.29963 | + | 3.18001i | −0.509144 | + | 0.490686i | ||||
\(43\) | 2.90883 | − | 5.03824i | 0.443592 | − | 0.768325i | −0.554361 | − | 0.832277i | \(-0.687037\pi\) |
0.997953 | + | 0.0639521i | \(0.0203705\pi\) | |||||||
\(44\) | −2.96133 | + | 1.70972i | −0.446437 | + | 0.257750i | ||||
\(45\) | −2.96175 | − | 3.10295i | −0.441511 | − | 0.462561i | ||||
\(46\) | 4.02706 | − | 6.97507i | 0.593757 | − | 1.02842i | ||||
\(47\) | −5.51829 | −0.804926 | −0.402463 | − | 0.915436i | \(-0.631846\pi\) | ||||
−0.402463 | + | 0.915436i | \(0.631846\pi\) | |||||||
\(48\) | 1.38631 | − | 1.03834i | 0.200096 | − | 0.149872i | ||||
\(49\) | −6.78556 | + | 1.71934i | −0.969366 | + | 0.245620i | ||||
\(50\) | −2.55956 | + | 1.47776i | −0.361977 | + | 0.208987i | ||||
\(51\) | 0.470680 | + | 3.92793i | 0.0659084 | + | 0.550020i | ||||
\(52\) | 5.48813 | − | 3.16857i | 0.761067 | − | 0.439402i | ||||
\(53\) | 8.56310 | + | 4.94391i | 1.17623 | + | 0.679098i | 0.955140 | − | 0.296155i | \(-0.0957044\pi\) |
0.221093 | + | 0.975253i | \(0.429038\pi\) | |||||||
\(54\) | 4.86711 | − | 1.81967i | 0.662330 | − | 0.247626i | ||||
\(55\) | − | 4.88930i | − | 0.659273i | ||||||
\(56\) | 2.62541 | − | 0.327442i | 0.350835 | − | 0.0437563i | ||||
\(57\) | −1.47666 | + | 3.45080i | −0.195588 | + | 0.457070i | ||||
\(58\) | 0.172558 | − | 0.298879i | 0.0226579 | − | 0.0392447i | ||||
\(59\) | 11.0296 | 1.43593 | 0.717966 | − | 0.696079i | \(-0.245074\pi\) | ||||
0.717966 | + | 0.696079i | \(0.245074\pi\) | |||||||
\(60\) | 0.294657 | + | 2.45898i | 0.0380401 | + | 0.317453i | ||||
\(61\) | 11.4797i | 1.46983i | 0.678159 | + | 0.734915i | \(0.262778\pi\) | ||||
−0.678159 | + | 0.734915i | \(0.737222\pi\) | |||||||
\(62\) | 4.34228 | 0.551470 | ||||||||
\(63\) | 7.83461 | + | 1.27237i | 0.987068 | + | 0.160304i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 9.06117i | 1.12390i | ||||||||
\(66\) | 5.44507 | + | 2.33004i | 0.670242 | + | 0.286808i | ||||
\(67\) | 4.25366 | 0.519667 | 0.259833 | − | 0.965653i | \(-0.416332\pi\) | ||||
0.259833 | + | 0.965653i | \(0.416332\pi\) | |||||||
\(68\) | 1.14201 | − | 1.97802i | 0.138489 | − | 0.239870i | ||||
\(69\) | −13.8510 | + | 1.65976i | −1.66747 | + | 0.199811i | ||||
\(70\) | −1.47150 | + | 3.48511i | −0.175878 | + | 0.416550i | ||||
\(71\) | − | 3.55393i | − | 0.421773i | −0.977511 | − | 0.210887i | \(-0.932365\pi\) | ||
0.977511 | − | 0.210887i | \(-0.0676351\pi\) | |||||||
\(72\) | −2.87892 | − | 0.843698i | −0.339284 | − | 0.0994307i | ||||
\(73\) | −0.201057 | − | 0.116080i | −0.0235320 | − | 0.0135862i | 0.488188 | − | 0.872739i | \(-0.337658\pi\) |
−0.511720 | + | 0.859152i | \(0.670991\pi\) | |||||||
\(74\) | −1.86690 | + | 1.07786i | −0.217023 | + | 0.125298i | ||||
\(75\) | 4.70633 | + | 2.01392i | 0.543440 | + | 0.232547i | ||||
\(76\) | 1.87673 | − | 1.08353i | 0.215276 | − | 0.124290i | ||||
\(77\) | 5.45839 | + | 7.21486i | 0.622041 | + | 0.822210i | ||||
\(78\) | −10.0912 | − | 4.31818i | −1.14260 | − | 0.488937i | ||||
\(79\) | 14.5620 | 1.63835 | 0.819177 | − | 0.573541i | \(-0.194431\pi\) | ||||
0.819177 | + | 0.573541i | \(0.194431\pi\) | |||||||
\(80\) | 0.714925 | − | 1.23829i | 0.0799311 | − | 0.138445i | ||||
\(81\) | −7.57635 | − | 4.85787i | −0.841817 | − | 0.539764i | ||||
\(82\) | −0.350186 | + | 0.202180i | −0.0386716 | + | 0.0223270i | ||||
\(83\) | 0.811624 | − | 1.40577i | 0.0890873 | − | 0.154304i | −0.818038 | − | 0.575164i | \(-0.804938\pi\) |
0.907126 | + | 0.420860i | \(0.138272\pi\) | |||||||
\(84\) | −3.18001 | − | 3.29963i | −0.346967 | − | 0.360019i | ||||
\(85\) | 1.63290 | + | 2.82827i | 0.177113 | + | 0.306769i | ||||
\(86\) | 5.03824 | + | 2.90883i | 0.543287 | + | 0.313667i | ||||
\(87\) | −0.593511 | + | 0.0711198i | −0.0636311 | + | 0.00762484i | ||||
\(88\) | −1.70972 | − | 2.96133i | −0.182257 | − | 0.315679i | ||||
\(89\) | −2.02974 | − | 3.51562i | −0.215152 | − | 0.372655i | 0.738167 | − | 0.674618i | \(-0.235691\pi\) |
−0.953320 | + | 0.301963i | \(0.902358\pi\) | |||||||
\(90\) | 3.10295 | − | 2.96175i | 0.327080 | − | 0.312196i | ||||
\(91\) | −10.1159 | − | 13.3711i | −1.06043 | − | 1.40167i | ||||
\(92\) | 6.97507 | + | 4.02706i | 0.727201 | + | 0.419850i | ||||
\(93\) | −4.50877 | − | 6.01974i | −0.467537 | − | 0.624218i | ||||
\(94\) | − | 5.51829i | − | 0.569169i | ||||||
\(95\) | 3.09858i | 0.317908i | ||||||||
\(96\) | 1.03834 | + | 1.38631i | 0.105975 | + | 0.141489i | ||||
\(97\) | −9.18719 | − | 5.30423i | −0.932818 | − | 0.538563i | −0.0451164 | − | 0.998982i | \(-0.514366\pi\) |
−0.887702 | + | 0.460419i | \(0.847699\pi\) | |||||||
\(98\) | −1.71934 | − | 6.78556i | −0.173680 | − | 0.685445i | ||||
\(99\) | −2.42369 | − | 9.96791i | −0.243590 | − | 1.00181i | ||||
\(100\) | −1.47776 | − | 2.55956i | −0.147776 | − | 0.255956i | ||||
\(101\) | −4.02443 | − | 6.97052i | −0.400446 | − | 0.693593i | 0.593334 | − | 0.804957i | \(-0.297811\pi\) |
−0.993780 | + | 0.111364i | \(0.964478\pi\) | |||||||
\(102\) | −3.92793 | + | 0.470680i | −0.388923 | + | 0.0466043i | ||||
\(103\) | −2.43692 | − | 1.40695i | −0.240117 | − | 0.138631i | 0.375114 | − | 0.926979i | \(-0.377604\pi\) |
−0.615230 | + | 0.788347i | \(0.710937\pi\) | |||||||
\(104\) | 3.16857 | + | 5.48813i | 0.310704 | + | 0.538156i | ||||
\(105\) | 6.35936 | − | 1.57877i | 0.620610 | − | 0.154072i | ||||
\(106\) | −4.94391 | + | 8.56310i | −0.480195 | + | 0.831722i | ||||
\(107\) | −13.7019 | + | 7.91078i | −1.32461 | + | 0.764764i | −0.984460 | − | 0.175607i | \(-0.943811\pi\) |
−0.340150 | + | 0.940371i | \(0.610478\pi\) | |||||||
\(108\) | 1.81967 | + | 4.86711i | 0.175098 | + | 0.468338i | ||||
\(109\) | 5.10675 | − | 8.84514i | 0.489138 | − | 0.847211i | −0.510784 | − | 0.859709i | \(-0.670645\pi\) |
0.999922 | + | 0.0124977i | \(0.00397826\pi\) | |||||||
\(110\) | 4.88930 | 0.466176 | ||||||||
\(111\) | 3.43272 | + | 1.46892i | 0.325819 | + | 0.139424i | ||||
\(112\) | 0.327442 | + | 2.62541i | 0.0309404 | + | 0.248078i | ||||
\(113\) | 7.28808 | − | 4.20778i | 0.685605 | − | 0.395834i | −0.116359 | − | 0.993207i | \(-0.537122\pi\) |
0.801963 | + | 0.597373i | \(0.203789\pi\) | |||||||
\(114\) | −3.45080 | − | 1.47666i | −0.323197 | − | 0.138301i | ||||
\(115\) | −9.97330 | + | 5.75809i | −0.930015 | + | 0.536945i | ||||
\(116\) | 0.298879 | + | 0.172558i | 0.0277502 | + | 0.0160216i | ||||
\(117\) | 4.49174 | + | 18.4732i | 0.415262 | + | 1.70785i | ||||
\(118\) | 11.0296i | 1.01536i | ||||||||
\(119\) | −5.56705 | − | 2.35055i | −0.510330 | − | 0.215475i | ||||
\(120\) | −2.45898 | + | 0.294657i | −0.224473 | + | 0.0268984i | ||||
\(121\) | 0.346305 | − | 0.599818i | 0.0314823 | − | 0.0545289i | ||||
\(122\) | −11.4797 | −1.03933 | ||||||||
\(123\) | 0.643896 | + | 0.275534i | 0.0580581 | + | 0.0248440i | ||||
\(124\) | 4.34228i | 0.389948i | ||||||||
\(125\) | 11.3752 | 1.01743 | ||||||||
\(126\) | −1.27237 | + | 7.83461i | −0.113352 | + | 0.697962i | ||||
\(127\) | 5.77773 | 0.512691 | 0.256345 | − | 0.966585i | \(-0.417482\pi\) | ||||
0.256345 | + | 0.966585i | \(0.417482\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −1.19888 | − | 10.0049i | −0.105555 | − | 0.880883i | ||||
\(130\) | −9.06117 | −0.794718 | ||||||||
\(131\) | 2.22833 | − | 3.85959i | 0.194690 | − | 0.337214i | −0.752109 | − | 0.659039i | \(-0.770963\pi\) |
0.946799 | + | 0.321825i | \(0.104296\pi\) | |||||||
\(132\) | −2.33004 | + | 5.44507i | −0.202804 | + | 0.473932i | ||||
\(133\) | −3.45924 | − | 4.57241i | −0.299954 | − | 0.396478i | ||||
\(134\) | 4.25366i | 0.367460i | ||||||||
\(135\) | −7.32781 | − | 1.22634i | −0.630678 | − | 0.105547i | ||||
\(136\) | 1.97802 | + | 1.14201i | 0.169613 | + | 0.0979264i | ||||
\(137\) | 8.36293 | − | 4.82834i | 0.714493 | − | 0.412513i | −0.0982292 | − | 0.995164i | \(-0.531318\pi\) |
0.812723 | + | 0.582651i | \(0.197984\pi\) | |||||||
\(138\) | −1.65976 | − | 13.8510i | −0.141288 | − | 1.17908i | ||||
\(139\) | 16.0680 | − | 9.27686i | 1.36287 | − | 0.786853i | 0.372864 | − | 0.927886i | \(-0.378376\pi\) |
0.990005 | + | 0.141033i | \(0.0450423\pi\) | |||||||
\(140\) | −3.48511 | − | 1.47150i | −0.294545 | − | 0.124365i | ||||
\(141\) | −7.65005 | + | 5.72987i | −0.644251 | + | 0.482542i | ||||
\(142\) | 3.55393 | 0.298239 | ||||||||
\(143\) | −10.8348 | + | 18.7664i | −0.906049 | + | 1.56932i | ||||
\(144\) | 0.843698 | − | 2.87892i | 0.0703081 | − | 0.239910i | ||||
\(145\) | −0.427352 | + | 0.246732i | −0.0354896 | + | 0.0204899i | ||||
\(146\) | 0.116080 | − | 0.201057i | 0.00960689 | − | 0.0166396i | ||||
\(147\) | −7.62162 | + | 9.42926i | −0.628620 | + | 0.777712i | ||||
\(148\) | −1.07786 | − | 1.86690i | −0.0885993 | − | 0.153458i | ||||
\(149\) | −5.63517 | − | 3.25347i | −0.461651 | − | 0.266535i | 0.251087 | − | 0.967965i | \(-0.419212\pi\) |
−0.712738 | + | 0.701430i | \(0.752545\pi\) | |||||||
\(150\) | −2.01392 | + | 4.70633i | −0.164436 | + | 0.384270i | ||||
\(151\) | −2.87950 | − | 4.98745i | −0.234331 | − | 0.405873i | 0.724747 | − | 0.689015i | \(-0.241956\pi\) |
−0.959078 | + | 0.283142i | \(0.908623\pi\) | |||||||
\(152\) | 1.08353 | + | 1.87673i | 0.0878862 | + | 0.152223i | ||||
\(153\) | 4.73104 | + | 4.95660i | 0.382482 | + | 0.400717i | ||||
\(154\) | −7.21486 | + | 5.45839i | −0.581390 | + | 0.439850i | ||||
\(155\) | −5.37699 | − | 3.10441i | −0.431890 | − | 0.249352i | ||||
\(156\) | 4.31818 | − | 10.0912i | 0.345731 | − | 0.807940i | ||||
\(157\) | 7.96361i | 0.635565i | 0.948164 | + | 0.317783i | \(0.102938\pi\) | ||||
−0.948164 | + | 0.317783i | \(0.897062\pi\) | |||||||
\(158\) | 14.5620i | 1.15849i | ||||||||
\(159\) | 17.0046 | − | 2.03764i | 1.34855 | − | 0.161595i | ||||
\(160\) | 1.23829 | + | 0.714925i | 0.0978952 | + | 0.0565198i | ||||
\(161\) | 8.28874 | − | 19.6310i | 0.653245 | − | 1.54714i | ||||
\(162\) | 4.85787 | − | 7.57635i | 0.381671 | − | 0.595254i | ||||
\(163\) | 5.69256 | + | 9.85980i | 0.445876 | + | 0.772279i | 0.998113 | − | 0.0614080i | \(-0.0195591\pi\) |
−0.552237 | + | 0.833687i | \(0.686226\pi\) | |||||||
\(164\) | −0.202180 | − | 0.350186i | −0.0157876 | − | 0.0273449i | ||||
\(165\) | −5.07676 | − | 6.77807i | −0.395225 | − | 0.527672i | ||||
\(166\) | 1.40577 | + | 0.811624i | 0.109109 | + | 0.0629942i | ||||
\(167\) | −5.66418 | − | 9.81065i | −0.438308 | − | 0.759171i | 0.559252 | − | 0.828998i | \(-0.311089\pi\) |
−0.997559 | + | 0.0698271i | \(0.977755\pi\) | |||||||
\(168\) | 3.29963 | − | 3.18001i | 0.254572 | − | 0.245343i | ||||
\(169\) | 13.5797 | − | 23.5208i | 1.04459 | − | 1.80929i | ||||
\(170\) | −2.82827 | + | 1.63290i | −0.216918 | + | 0.125238i | ||||
\(171\) | 1.53601 | + | 6.31714i | 0.117461 | + | 0.483084i | ||||
\(172\) | −2.90883 | + | 5.03824i | −0.221796 | + | 0.384162i | ||||
\(173\) | −21.6914 | −1.64917 | −0.824584 | − | 0.565739i | \(-0.808591\pi\) | ||||
−0.824584 | + | 0.565739i | \(0.808591\pi\) | |||||||
\(174\) | −0.0711198 | − | 0.593511i | −0.00539158 | − | 0.0449940i | ||||
\(175\) | −6.23602 | + | 4.71785i | −0.471399 | + | 0.356636i | ||||
\(176\) | 2.96133 | − | 1.70972i | 0.223218 | − | 0.128875i | ||||
\(177\) | 15.2904 | − | 11.4525i | 1.14930 | − | 0.860821i | ||||
\(178\) | 3.51562 | − | 2.02974i | 0.263507 | − | 0.152136i | ||||
\(179\) | −18.0057 | − | 10.3956i | −1.34581 | − | 0.777002i | −0.358155 | − | 0.933662i | \(-0.616594\pi\) |
−0.987653 | + | 0.156660i | \(0.949927\pi\) | |||||||
\(180\) | 2.96175 | + | 3.10295i | 0.220756 | + | 0.231280i | ||||
\(181\) | 21.5301i | 1.60032i | 0.599788 | + | 0.800159i | \(0.295252\pi\) | ||||
−0.599788 | + | 0.800159i | \(0.704748\pi\) | |||||||
\(182\) | 13.3711 | − | 10.1159i | 0.991130 | − | 0.749837i | ||||
\(183\) | 11.9199 | + | 15.9145i | 0.881143 | + | 1.17643i | ||||
\(184\) | −4.02706 | + | 6.97507i | −0.296879 | + | 0.514209i | ||||
\(185\) | 3.08235 | 0.226619 | ||||||||
\(186\) | 6.01974 | − | 4.50877i | 0.441388 | − | 0.330599i | ||||
\(187\) | 7.81007i | 0.571129i | ||||||||
\(188\) | 5.51829 | 0.402463 | ||||||||
\(189\) | 12.1823 | − | 6.37109i | 0.886134 | − | 0.463429i | ||||
\(190\) | −3.09858 | −0.224795 | ||||||||
\(191\) | − | 7.36938i | − | 0.533230i | −0.963803 | − | 0.266615i | \(-0.914095\pi\) | ||
0.963803 | − | 0.266615i | \(-0.0859052\pi\) | |||||||
\(192\) | −1.38631 | + | 1.03834i | −0.100048 | + | 0.0749358i | ||||
\(193\) | −2.82559 | −0.203390 | −0.101695 | − | 0.994816i | \(-0.532427\pi\) | ||||
−0.101695 | + | 0.994816i | \(0.532427\pi\) | |||||||
\(194\) | 5.30423 | − | 9.18719i | 0.380821 | − | 0.659602i | ||||
\(195\) | 9.40859 | + | 12.5616i | 0.673763 | + | 0.899553i | ||||
\(196\) | 6.78556 | − | 1.71934i | 0.484683 | − | 0.122810i | ||||
\(197\) | 26.0883i | 1.85871i | 0.369183 | + | 0.929357i | \(0.379637\pi\) | ||||
−0.369183 | + | 0.929357i | \(0.620363\pi\) | |||||||
\(198\) | 9.96791 | − | 2.42369i | 0.708388 | − | 0.172244i | ||||
\(199\) | 13.3511 | + | 7.70826i | 0.946434 | + | 0.546424i | 0.891971 | − | 0.452092i | \(-0.149322\pi\) |
0.0544625 | + | 0.998516i | \(0.482655\pi\) | |||||||
\(200\) | 2.55956 | − | 1.47776i | 0.180988 | − | 0.104494i | ||||
\(201\) | 5.89688 | − | 4.41674i | 0.415934 | − | 0.311533i | ||||
\(202\) | 6.97052 | − | 4.02443i | 0.490444 | − | 0.283158i | ||||
\(203\) | 0.355169 | − | 0.841182i | 0.0249280 | − | 0.0590394i | ||||
\(204\) | −0.470680 | − | 3.92793i | −0.0329542 | − | 0.275010i | ||||
\(205\) | 0.578174 | 0.0403814 | ||||||||
\(206\) | 1.40695 | − | 2.43692i | 0.0980272 | − | 0.169788i | ||||
\(207\) | −17.4784 | + | 16.6830i | −1.21483 | + | 1.15955i | ||||
\(208\) | −5.48813 | + | 3.16857i | −0.380533 | + | 0.219701i | ||||
\(209\) | −3.70508 | + | 6.41739i | −0.256286 | + | 0.443900i | ||||
\(210\) | 1.57877 | + | 6.35936i | 0.108946 | + | 0.438837i | ||||
\(211\) | 4.42465 | + | 7.66371i | 0.304605 | + | 0.527592i | 0.977173 | − | 0.212443i | \(-0.0681421\pi\) |
−0.672568 | + | 0.740035i | \(0.734809\pi\) | |||||||
\(212\) | −8.56310 | − | 4.94391i | −0.588116 | − | 0.339549i | ||||
\(213\) | −3.69019 | − | 4.92684i | −0.252847 | − | 0.337581i | ||||
\(214\) | −7.91078 | − | 13.7019i | −0.540770 | − | 0.936641i | ||||
\(215\) | −4.15919 | − | 7.20393i | −0.283655 | − | 0.491304i | ||||
\(216\) | −4.86711 | + | 1.81967i | −0.331165 | + | 0.123813i | ||||
\(217\) | 11.4003 | − | 1.42185i | 0.773901 | − | 0.0965212i | ||||
\(218\) | 8.84514 | + | 5.10675i | 0.599069 | + | 0.345873i | ||||
\(219\) | −0.399258 | + | 0.0478427i | −0.0269794 | + | 0.00323291i | ||||
\(220\) | 4.88930i | 0.329636i | ||||||||
\(221\) | − | 14.4741i | − | 0.973637i | ||||||
\(222\) | −1.46892 | + | 3.43272i | −0.0985874 | + | 0.230389i | ||||
\(223\) | −6.88961 | − | 3.97772i | −0.461363 | − | 0.266368i | 0.251254 | − | 0.967921i | \(-0.419157\pi\) |
−0.712617 | + | 0.701553i | \(0.752490\pi\) | |||||||
\(224\) | −2.62541 | + | 0.327442i | −0.175418 | + | 0.0218782i | ||||
\(225\) | 8.61556 | − | 2.09487i | 0.574370 | − | 0.139658i | ||||
\(226\) | 4.20778 | + | 7.28808i | 0.279897 | + | 0.484796i | ||||
\(227\) | 4.61984 | + | 8.00180i | 0.306630 | + | 0.531098i | 0.977623 | − | 0.210365i | \(-0.0674654\pi\) |
−0.670993 | + | 0.741464i | \(0.734132\pi\) | |||||||
\(228\) | 1.47666 | − | 3.45080i | 0.0977939 | − | 0.228535i | ||||
\(229\) | −7.31319 | − | 4.22227i | −0.483269 | − | 0.279016i | 0.238509 | − | 0.971140i | \(-0.423341\pi\) |
−0.721778 | + | 0.692125i | \(0.756675\pi\) | |||||||
\(230\) | −5.75809 | − | 9.97330i | −0.379677 | − | 0.657620i | ||||
\(231\) | 15.0585 | + | 4.33435i | 0.990776 | + | 0.285180i | ||||
\(232\) | −0.172558 | + | 0.298879i | −0.0113290 | + | 0.0196223i | ||||
\(233\) | 14.4176 | − | 8.32399i | 0.944526 | − | 0.545323i | 0.0531500 | − | 0.998587i | \(-0.483074\pi\) |
0.891376 | + | 0.453264i | \(0.149741\pi\) | |||||||
\(234\) | −18.4732 | + | 4.49174i | −1.20763 | + | 0.293635i | ||||
\(235\) | −3.94517 | + | 6.83323i | −0.257354 | + | 0.445751i | ||||
\(236\) | −11.0296 | −0.717966 | ||||||||
\(237\) | 20.1874 | − | 15.1203i | 1.31131 | − | 0.982170i | ||||
\(238\) | 2.35055 | − | 5.56705i | 0.152364 | − | 0.360858i | ||||
\(239\) | −23.6325 | + | 13.6442i | −1.52866 | + | 0.882572i | −0.529242 | + | 0.848471i | \(0.677524\pi\) |
−0.999418 | + | 0.0341012i | \(0.989143\pi\) | |||||||
\(240\) | −0.294657 | − | 2.45898i | −0.0190200 | − | 0.158727i | ||||
\(241\) | −21.9018 | + | 12.6450i | −1.41082 | + | 0.814537i | −0.995466 | − | 0.0951223i | \(-0.969676\pi\) |
−0.415354 | + | 0.909660i | \(0.636342\pi\) | |||||||
\(242\) | 0.599818 | + | 0.346305i | 0.0385578 | + | 0.0222613i | ||||
\(243\) | −15.5473 | + | 1.13232i | −0.997358 | + | 0.0726386i | ||||
\(244\) | − | 11.4797i | − | 0.734915i | ||||||
\(245\) | −2.72213 | + | 9.63167i | −0.173911 | + | 0.615345i | ||||
\(246\) | −0.275534 | + | 0.643896i | −0.0175674 | + | 0.0410533i | ||||
\(247\) | 6.86651 | − | 11.8931i | 0.436906 | − | 0.756743i | ||||
\(248\) | −4.34228 | −0.275735 | ||||||||
\(249\) | −0.334512 | − | 2.79158i | −0.0211988 | − | 0.176909i | ||||
\(250\) | 11.3752i | 0.719432i | ||||||||
\(251\) | −8.19337 | −0.517161 | −0.258581 | − | 0.965990i | \(-0.583255\pi\) | ||||
−0.258581 | + | 0.965990i | \(0.583255\pi\) | |||||||
\(252\) | −7.83461 | − | 1.27237i | −0.493534 | − | 0.0801519i | ||||
\(253\) | −27.5406 | −1.73146 | ||||||||
\(254\) | 5.77773i | 0.362527i | ||||||||
\(255\) | 5.20041 | + | 2.22534i | 0.325662 | + | 0.139356i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −3.31723 | + | 5.74560i | −0.206923 | + | 0.358401i | −0.950744 | − | 0.309978i | \(-0.899678\pi\) |
0.743821 | + | 0.668379i | \(0.233012\pi\) | |||||||
\(258\) | 10.0049 | − | 1.19888i | 0.622878 | − | 0.0746388i | ||||
\(259\) | −4.54845 | + | 3.44112i | −0.282627 | + | 0.213821i | ||||
\(260\) | − | 9.06117i | − | 0.561950i | ||||||
\(261\) | −0.748942 | + | 0.714861i | −0.0463584 | + | 0.0442488i | ||||
\(262\) | 3.85959 | + | 2.22833i | 0.238446 | + | 0.137667i | ||||
\(263\) | 5.23590 | − | 3.02295i | 0.322860 | − | 0.186403i | −0.329807 | − | 0.944048i | \(-0.606984\pi\) |
0.652666 | + | 0.757645i | \(0.273650\pi\) | |||||||
\(264\) | −5.44507 | − | 2.33004i | −0.335121 | − | 0.143404i | ||||
\(265\) | 12.2440 | − | 7.06905i | 0.752140 | − | 0.434248i | ||||
\(266\) | 4.57241 | − | 3.45924i | 0.280352 | − | 0.212100i | ||||
\(267\) | −6.46426 | − | 2.76616i | −0.395606 | − | 0.169286i | ||||
\(268\) | −4.25366 | −0.259833 | ||||||||
\(269\) | 3.41069 | − | 5.90750i | 0.207954 | − | 0.360186i | −0.743116 | − | 0.669163i | \(-0.766653\pi\) |
0.951070 | + | 0.308976i | \(0.0999863\pi\) | |||||||
\(270\) | 1.22634 | − | 7.32781i | 0.0746329 | − | 0.445956i | ||||
\(271\) | −4.39780 | + | 2.53907i | −0.267148 | + | 0.154238i | −0.627591 | − | 0.778543i | \(-0.715959\pi\) |
0.360443 | + | 0.932781i | \(0.382625\pi\) | |||||||
\(272\) | −1.14201 | + | 1.97802i | −0.0692444 | + | 0.119935i | ||||
\(273\) | −27.9074 | − | 8.03272i | −1.68903 | − | 0.486162i | ||||
\(274\) | 4.82834 | + | 8.36293i | 0.291691 | + | 0.505223i | ||||
\(275\) | 8.75228 | + | 5.05313i | 0.527783 | + | 0.304715i | ||||
\(276\) | 13.8510 | − | 1.65976i | 0.833735 | − | 0.0999055i | ||||
\(277\) | 0.989567 | + | 1.71398i | 0.0594573 | + | 0.102983i | 0.894222 | − | 0.447624i | \(-0.147730\pi\) |
−0.834765 | + | 0.550607i | \(0.814396\pi\) | |||||||
\(278\) | 9.27686 | + | 16.0680i | 0.556389 | + | 0.963694i | ||||
\(279\) | −12.5011 | − | 3.66357i | −0.748420 | − | 0.219332i | ||||
\(280\) | 1.47150 | − | 3.48511i | 0.0879392 | − | 0.208275i | ||||
\(281\) | −15.2703 | − | 8.81631i | −0.910950 | − | 0.525937i | −0.0302131 | − | 0.999543i | \(-0.509619\pi\) |
−0.880737 | + | 0.473606i | \(0.842952\pi\) | |||||||
\(282\) | −5.72987 | − | 7.65005i | −0.341209 | − | 0.455554i | ||||
\(283\) | 5.15385i | 0.306365i | 0.988198 | + | 0.153182i | \(0.0489522\pi\) | ||||
−0.988198 | + | 0.153182i | \(0.951048\pi\) | |||||||
\(284\) | 3.55393i | 0.210887i | ||||||||
\(285\) | 3.21738 | + | 4.29559i | 0.190581 | + | 0.254449i | ||||
\(286\) | −18.7664 | − | 10.8348i | −1.10968 | − | 0.640673i | ||||
\(287\) | −0.853179 | + | 0.645471i | −0.0503616 | + | 0.0381009i | ||||
\(288\) | 2.87892 | + | 0.843698i | 0.169642 | + | 0.0497154i | ||||
\(289\) | 5.89164 | + | 10.2046i | 0.346567 | + | 0.600271i | ||||
\(290\) | −0.246732 | − | 0.427352i | −0.0144886 | − | 0.0250949i | ||||
\(291\) | −18.2439 | + | 2.18614i | −1.06947 | + | 0.128154i | ||||
\(292\) | 0.201057 | + | 0.116080i | 0.0117660 | + | 0.00679310i | ||||
\(293\) | 1.03248 | + | 1.78831i | 0.0603183 | + | 0.104474i | 0.894608 | − | 0.446852i | \(-0.147455\pi\) |
−0.834289 | + | 0.551327i | \(0.814122\pi\) | |||||||
\(294\) | −9.42926 | − | 7.62162i | −0.549926 | − | 0.444502i | ||||
\(295\) | 7.88534 | − | 13.6578i | 0.459102 | − | 0.795188i | ||||
\(296\) | 1.86690 | − | 1.07786i | 0.108511 | − | 0.0626491i | ||||
\(297\) | −13.7101 | − | 11.3020i | −0.795539 | − | 0.655807i | ||||
\(298\) | 3.25347 | − | 5.63517i | 0.188468 | − | 0.326437i | ||||
\(299\) | 51.0401 | 2.95173 | ||||||||
\(300\) | −4.70633 | − | 2.01392i | −0.271720 | − | 0.116274i | ||||
\(301\) | 14.1799 | + | 5.98714i | 0.817317 | + | 0.345093i | ||||
\(302\) | 4.98745 | − | 2.87950i | 0.286995 | − | 0.165697i | ||||
\(303\) | −12.8169 | − | 5.48455i | −0.736310 | − | 0.315079i | ||||
\(304\) | −1.87673 | + | 1.08353i | −0.107638 | + | 0.0621449i | ||||
\(305\) | 14.2152 | + | 8.20716i | 0.813961 | + | 0.469941i | ||||
\(306\) | −4.95660 | + | 4.73104i | −0.283350 | + | 0.270455i | ||||
\(307\) | − | 1.09119i | − | 0.0622772i | −0.999515 | − | 0.0311386i | \(-0.990087\pi\) | ||
0.999515 | − | 0.0311386i | \(-0.00991333\pi\) | |||||||
\(308\) | −5.45839 | − | 7.21486i | −0.311021 | − | 0.411105i | ||||
\(309\) | −4.83921 | + | 0.579878i | −0.275293 | + | 0.0329881i | ||||
\(310\) | 3.10441 | − | 5.37699i | 0.176318 | − | 0.305392i | ||||
\(311\) | 15.2220 | 0.863161 | 0.431580 | − | 0.902075i | \(-0.357956\pi\) | ||||
0.431580 | + | 0.902075i | \(0.357956\pi\) | |||||||
\(312\) | 10.0912 | + | 4.31818i | 0.571300 | + | 0.244469i | ||||
\(313\) | − | 11.5704i | − | 0.653996i | −0.945025 | − | 0.326998i | \(-0.893963\pi\) | ||
0.945025 | − | 0.326998i | \(-0.106037\pi\) | |||||||
\(314\) | −7.96361 | −0.449412 | ||||||||
\(315\) | 7.17672 | − | 8.79184i | 0.404362 | − | 0.495364i | ||||
\(316\) | −14.5620 | −0.819177 | ||||||||
\(317\) | 17.1604i | 0.963824i | 0.876220 | + | 0.481912i | \(0.160058\pi\) | ||||
−0.876220 | + | 0.481912i | \(0.839942\pi\) | |||||||
\(318\) | 2.03764 | + | 17.0046i | 0.114265 | + | 0.953568i | ||||
\(319\) | −1.18010 | −0.0660731 | ||||||||
\(320\) | −0.714925 | + | 1.23829i | −0.0399655 | + | 0.0692223i | ||||
\(321\) | −10.7809 | + | 25.1940i | −0.601733 | + | 1.40619i | ||||
\(322\) | 19.6310 | + | 8.28874i | 1.09400 | + | 0.461914i | ||||
\(323\) | − | 4.94962i | − | 0.275404i | ||||||
\(324\) | 7.57635 | + | 4.85787i | 0.420908 | + | 0.269882i | ||||
\(325\) | −16.2203 | − | 9.36481i | −0.899742 | − | 0.519466i | ||||
\(326\) | −9.85980 | + | 5.69256i | −0.546084 | + | 0.315282i | ||||
\(327\) | −2.10475 | − | 17.5646i | −0.116393 | − | 0.971326i | ||||
\(328\) | 0.350186 | − | 0.202180i | 0.0193358 | − | 0.0111635i | ||||
\(329\) | −1.80692 | − | 14.4878i | −0.0996189 | − | 0.798738i | ||||
\(330\) | 6.77807 | − | 5.07676i | 0.373120 | − | 0.279466i | ||||
\(331\) | −26.4931 | −1.45619 | −0.728096 | − | 0.685475i | \(-0.759595\pi\) | ||||
−0.728096 | + | 0.685475i | \(0.759595\pi\) | |||||||
\(332\) | −0.811624 | + | 1.40577i | −0.0445436 | + | 0.0771519i | ||||
\(333\) | 6.28404 | − | 1.52796i | 0.344364 | − | 0.0837317i | ||||
\(334\) | 9.81065 | − | 5.66418i | 0.536815 | − | 0.309930i | ||||
\(335\) | 3.04105 | − | 5.26725i | 0.166150 | − | 0.287780i | ||||
\(336\) | 3.18001 | + | 3.29963i | 0.173484 | + | 0.180010i | ||||
\(337\) | 4.06451 | + | 7.03993i | 0.221408 | + | 0.383490i | 0.955236 | − | 0.295846i | \(-0.0956015\pi\) |
−0.733828 | + | 0.679335i | \(0.762268\pi\) | |||||||
\(338\) | 23.5208 | + | 13.5797i | 1.27936 | + | 0.738640i | ||||
\(339\) | 5.73442 | − | 13.4008i | 0.311451 | − | 0.727830i | ||||
\(340\) | −1.63290 | − | 2.82827i | −0.0885565 | − | 0.153384i | ||||
\(341\) | −7.42410 | − | 12.8589i | −0.402037 | − | 0.696349i | ||||
\(342\) | −6.31714 | + | 1.53601i | −0.341592 | + | 0.0830578i | ||||
\(343\) | −6.73586 | − | 17.2519i | −0.363702 | − | 0.931515i | ||||
\(344\) | −5.03824 | − | 2.90883i | −0.271644 | − | 0.156834i | ||||
\(345\) | −7.84721 | + | 18.3382i | −0.422479 | + | 0.987294i | ||||
\(346\) | − | 21.6914i | − | 1.16614i | ||||||
\(347\) | 25.6171i | 1.37520i | 0.726090 | + | 0.687599i | \(0.241335\pi\) | ||||
−0.726090 | + | 0.687599i | \(0.758665\pi\) | |||||||
\(348\) | 0.593511 | − | 0.0711198i | 0.0318155 | − | 0.00381242i | ||||
\(349\) | 9.11932 | + | 5.26504i | 0.488146 | + | 0.281831i | 0.723805 | − | 0.690005i | \(-0.242391\pi\) |
−0.235659 | + | 0.971836i | \(0.575725\pi\) | |||||||
\(350\) | −4.71785 | − | 6.23602i | −0.252179 | − | 0.333329i | ||||
\(351\) | 25.4084 | + | 20.9456i | 1.35620 | + | 1.11799i | ||||
\(352\) | 1.70972 | + | 2.96133i | 0.0911285 | + | 0.157839i | ||||
\(353\) | 6.42186 | + | 11.1230i | 0.341801 | + | 0.592017i | 0.984767 | − | 0.173878i | \(-0.0556297\pi\) |
−0.642966 | + | 0.765895i | \(0.722296\pi\) | |||||||
\(354\) | 11.4525 | + | 15.2904i | 0.608692 | + | 0.812676i | ||||
\(355\) | −4.40078 | − | 2.54079i | −0.233569 | − | 0.134851i | ||||
\(356\) | 2.02974 | + | 3.51562i | 0.107576 | + | 0.186327i | ||||
\(357\) | −10.1583 | + | 2.52190i | −0.537635 | + | 0.133473i | ||||
\(358\) | 10.3956 | − | 18.0057i | 0.549424 | − | 0.951630i | ||||
\(359\) | 25.6881 | − | 14.8311i | 1.35577 | − | 0.782753i | 0.366718 | − | 0.930332i | \(-0.380482\pi\) |
0.989050 | + | 0.147579i | \(0.0471482\pi\) | |||||||
\(360\) | −3.10295 | + | 2.96175i | −0.163540 | + | 0.156098i | ||||
\(361\) | −7.15191 | + | 12.3875i | −0.376416 | + | 0.651972i | ||||
\(362\) | −21.5301 | −1.13160 | ||||||||
\(363\) | −0.142730 | − | 1.19112i | −0.00749139 | − | 0.0625173i | ||||
\(364\) | 10.1159 | + | 13.3711i | 0.530215 | + | 0.700835i | ||||
\(365\) | −0.287482 | + | 0.165978i | −0.0150475 | + | 0.00868767i | ||||
\(366\) | −15.9145 | + | 11.9199i | −0.831862 | + | 0.623062i | ||||
\(367\) | 20.7828 | − | 11.9989i | 1.08485 | − | 0.626340i | 0.152651 | − | 0.988280i | \(-0.451219\pi\) |
0.932201 | + | 0.361940i | \(0.117885\pi\) | |||||||
\(368\) | −6.97507 | − | 4.02706i | −0.363600 | − | 0.209925i | ||||
\(369\) | 1.17874 | − | 0.286609i | 0.0613625 | − | 0.0149202i | ||||
\(370\) | 3.08235i | 0.160244i | ||||||||
\(371\) | −10.1759 | + | 24.1005i | −0.528305 | + | 1.25124i | ||||
\(372\) | 4.50877 | + | 6.01974i | 0.233769 | + | 0.312109i | ||||
\(373\) | 5.91948 | − | 10.2528i | 0.306499 | − | 0.530872i | −0.671095 | − | 0.741371i | \(-0.734176\pi\) |
0.977594 | + | 0.210500i | \(0.0675091\pi\) | |||||||
\(374\) | −7.81007 | −0.403849 | ||||||||
\(375\) | 15.7695 | − | 11.8113i | 0.814336 | − | 0.609935i | ||||
\(376\) | 5.51829i | 0.284584i | ||||||||
\(377\) | 2.18705 | 0.112639 | ||||||||
\(378\) | 6.37109 | + | 12.1823i | 0.327694 | + | 0.626592i | ||||
\(379\) | −13.1379 | −0.674850 | −0.337425 | − | 0.941352i | \(-0.609556\pi\) | ||||
−0.337425 | + | 0.941352i | \(0.609556\pi\) | |||||||
\(380\) | − | 3.09858i | − | 0.158954i | ||||||
\(381\) | 8.00971 | − | 5.99925i | 0.410350 | − | 0.307351i | ||||
\(382\) | 7.36938 | 0.377050 | ||||||||
\(383\) | −8.77603 | + | 15.2005i | −0.448434 | + | 0.776711i | −0.998284 | − | 0.0585527i | \(-0.981351\pi\) |
0.549850 | + | 0.835263i | \(0.314685\pi\) | |||||||
\(384\) | −1.03834 | − | 1.38631i | −0.0529876 | − | 0.0707447i | ||||
\(385\) | 12.8364 | − | 1.60096i | 0.654204 | − | 0.0815926i | ||||
\(386\) | − | 2.82559i | − | 0.143819i | ||||||
\(387\) | −12.0505 | − | 12.6250i | −0.612562 | − | 0.641767i | ||||
\(388\) | 9.18719 | + | 5.30423i | 0.466409 | + | 0.269281i | ||||
\(389\) | 18.9148 | − | 10.9205i | 0.959020 | − | 0.553691i | 0.0631489 | − | 0.998004i | \(-0.479886\pi\) |
0.895871 | + | 0.444313i | \(0.146552\pi\) | |||||||
\(390\) | −12.5616 | + | 9.40859i | −0.636080 | + | 0.476422i | ||||
\(391\) | 15.9312 | − | 9.19786i | 0.805674 | − | 0.465156i | ||||
\(392\) | 1.71934 | + | 6.78556i | 0.0868399 | + | 0.342723i | ||||
\(393\) | −0.918411 | − | 7.66435i | −0.0463277 | − | 0.386615i | ||||
\(394\) | −26.0883 | −1.31431 | ||||||||
\(395\) | 10.4107 | − | 18.0319i | 0.523821 | − | 0.907285i | ||||
\(396\) | 2.42369 | + | 9.96791i | 0.121795 | + | 0.500906i | ||||
\(397\) | 33.7636 | − | 19.4935i | 1.69455 | − | 0.978348i | 0.743792 | − | 0.668411i | \(-0.233025\pi\) |
0.950757 | − | 0.309937i | \(-0.100308\pi\) | |||||||
\(398\) | −7.70826 | + | 13.3511i | −0.386380 | + | 0.669230i | ||||
\(399\) | −9.54329 | − | 2.74689i | −0.477762 | − | 0.137516i | ||||
\(400\) | 1.47776 | + | 2.55956i | 0.0738882 | + | 0.127978i | ||||
\(401\) | −20.0899 | − | 11.5989i | −1.00324 | − | 0.579223i | −0.0940373 | − | 0.995569i | \(-0.529977\pi\) |
−0.909206 | + | 0.416346i | \(0.863311\pi\) | |||||||
\(402\) | 4.41674 | + | 5.89688i | 0.220287 | + | 0.294109i | ||||
\(403\) | 13.7588 | + | 23.8310i | 0.685376 | + | 1.18711i | ||||
\(404\) | 4.02443 | + | 6.97052i | 0.200223 | + | 0.346796i | ||||
\(405\) | −11.4320 | + | 5.90868i | −0.568059 | + | 0.293605i | ||||
\(406\) | 0.841182 | + | 0.355169i | 0.0417471 | + | 0.0176267i | ||||
\(407\) | 6.38377 | + | 3.68567i | 0.316432 | + | 0.182692i | ||||
\(408\) | 3.92793 | − | 0.470680i | 0.194462 | − | 0.0233021i | ||||
\(409\) | − | 24.6187i | − | 1.21732i | −0.793432 | − | 0.608659i | \(-0.791708\pi\) | ||
0.793432 | − | 0.608659i | \(-0.208292\pi\) | |||||||
\(410\) | 0.578174i | 0.0285540i | ||||||||
\(411\) | 6.58013 | − | 15.3771i | 0.324574 | − | 0.758498i | ||||
\(412\) | 2.43692 | + | 1.40695i | 0.120058 | + | 0.0693157i | ||||
\(413\) | 3.61156 | + | 28.9572i | 0.177713 | + | 1.42489i | ||||
\(414\) | −16.6830 | − | 17.4784i | −0.819926 | − | 0.859017i | ||||
\(415\) | −1.16050 | − | 2.01005i | −0.0569667 | − | 0.0986693i | ||||
\(416\) | −3.16857 | − | 5.48813i | −0.155352 | − | 0.269078i | ||||
\(417\) | 12.6426 | − | 29.5446i | 0.619113 | − | 1.44681i | ||||
\(418\) | −6.41739 | − | 3.70508i | −0.313885 | − | 0.181222i | ||||
\(419\) | 8.53996 | + | 14.7916i | 0.417204 | + | 0.722619i | 0.995657 | − | 0.0930969i | \(-0.0296766\pi\) |
−0.578453 | + | 0.815716i | \(0.696343\pi\) | |||||||
\(420\) | −6.35936 | + | 1.57877i | −0.310305 | + | 0.0770362i | ||||
\(421\) | −7.35652 | + | 12.7419i | −0.358535 | + | 0.621000i | −0.987716 | − | 0.156258i | \(-0.950057\pi\) |
0.629182 | + | 0.777258i | \(0.283390\pi\) | |||||||
\(422\) | −7.66371 | + | 4.42465i | −0.373064 | + | 0.215388i | ||||
\(423\) | −4.65577 | + | 15.8867i | −0.226371 | + | 0.772439i | ||||
\(424\) | 4.94391 | − | 8.56310i | 0.240097 | − | 0.415861i | ||||
\(425\) | −6.75047 | −0.327446 | ||||||||
\(426\) | 4.92684 | − | 3.69019i | 0.238706 | − | 0.178790i | ||||
\(427\) | −30.1391 | + | 3.75896i | −1.45853 | + | 0.181909i | ||||
\(428\) | 13.7019 | − | 7.91078i | 0.662305 | − | 0.382382i | ||||
\(429\) | 4.46556 | + | 37.2661i | 0.215599 | + | 1.79923i | ||||
\(430\) | 7.20393 | − | 4.15919i | 0.347404 | − | 0.200574i | ||||
\(431\) | −8.32286 | − | 4.80521i | −0.400898 | − | 0.231459i | 0.285973 | − | 0.958238i | \(-0.407683\pi\) |
−0.686871 | + | 0.726779i | \(0.741016\pi\) | |||||||
\(432\) | −1.81967 | − | 4.86711i | −0.0875491 | − | 0.234169i | ||||
\(433\) | 9.04314i | 0.434585i | 0.976106 | + | 0.217293i | \(0.0697226\pi\) | ||||
−0.976106 | + | 0.217293i | \(0.930277\pi\) | |||||||
\(434\) | 1.42185 | + | 11.4003i | 0.0682508 | + | 0.547230i | ||||
\(435\) | −0.336249 | + | 0.785782i | −0.0161219 | + | 0.0376754i | ||||
\(436\) | −5.10675 | + | 8.84514i | −0.244569 | + | 0.423606i | ||||
\(437\) | 17.4538 | 0.834929 | ||||||||
\(438\) | −0.0478427 | − | 0.399258i | −0.00228601 | − | 0.0190773i | ||||
\(439\) | − | 0.913795i | − | 0.0436131i | −0.999762 | − | 0.0218065i | \(-0.993058\pi\) | ||
0.999762 | − | 0.0218065i | \(-0.00694178\pi\) | |||||||
\(440\) | −4.88930 | −0.233088 | ||||||||
\(441\) | −0.775118 | + | 20.9857i | −0.0369104 | + | 0.999319i | ||||
\(442\) | 14.4741 | 0.688465 | ||||||||
\(443\) | − | 29.3616i | − | 1.39501i | −0.716578 | − | 0.697507i | \(-0.754293\pi\) | ||
0.716578 | − | 0.697507i | \(-0.245707\pi\) | |||||||
\(444\) | −3.43272 | − | 1.46892i | −0.162910 | − | 0.0697118i | ||||
\(445\) | −5.80446 | −0.275158 | ||||||||
\(446\) | 3.97772 | − | 6.88961i | 0.188351 | − | 0.326233i | ||||
\(447\) | −11.1903 | + | 1.34092i | −0.529283 | + | 0.0634234i | ||||
\(448\) | −0.327442 | − | 2.62541i | −0.0154702 | − | 0.124039i | ||||
\(449\) | 3.36736i | 0.158915i | 0.996838 | + | 0.0794577i | \(0.0253189\pi\) | ||||
−0.996838 | + | 0.0794577i | \(0.974681\pi\) | |||||||
\(450\) | 2.09487 | + | 8.61556i | 0.0987529 | + | 0.406141i | ||||
\(451\) | 1.19744 | + | 0.691343i | 0.0563853 | + | 0.0325541i | ||||
\(452\) | −7.28808 | + | 4.20778i | −0.342802 | + | 0.197917i | ||||
\(453\) | −9.17054 | − | 3.92423i | −0.430870 | − | 0.184376i | ||||
\(454\) | −8.00180 | + | 4.61984i | −0.375543 | + | 0.216820i | ||||
\(455\) | −23.7893 | + | 2.96701i | −1.11526 | + | 0.139096i | ||||
\(456\) | 3.45080 | + | 1.47666i | 0.161599 | + | 0.0691507i | ||||
\(457\) | −15.1139 | −0.706996 | −0.353498 | − | 0.935435i | \(-0.615008\pi\) | ||||
−0.353498 | + | 0.935435i | \(0.615008\pi\) | |||||||
\(458\) | 4.22227 | − | 7.31319i | 0.197294 | − | 0.341723i | ||||
\(459\) | 11.7053 | + | 1.95894i | 0.546357 | + | 0.0914354i | ||||
\(460\) | 9.97330 | − | 5.75809i | 0.465008 | − | 0.268472i | ||||
\(461\) | 5.19445 | − | 8.99706i | 0.241930 | − | 0.419035i | −0.719334 | − | 0.694664i | \(-0.755553\pi\) |
0.961264 | + | 0.275629i | \(0.0888863\pi\) | |||||||
\(462\) | −4.33435 | + | 15.0585i | −0.201652 | + | 0.700584i | ||||
\(463\) | −2.65722 | − | 4.60244i | −0.123492 | − | 0.213894i | 0.797651 | − | 0.603120i | \(-0.206076\pi\) |
−0.921142 | + | 0.389226i | \(0.872743\pi\) | |||||||
\(464\) | −0.298879 | − | 0.172558i | −0.0138751 | − | 0.00801078i | ||||
\(465\) | −10.6776 | + | 1.27948i | −0.495161 | + | 0.0593347i | ||||
\(466\) | 8.32399 | + | 14.4176i | 0.385601 | + | 0.667881i | ||||
\(467\) | 9.74994 | + | 16.8874i | 0.451173 | + | 0.781455i | 0.998459 | − | 0.0554907i | \(-0.0176723\pi\) |
−0.547286 | + | 0.836946i | \(0.684339\pi\) | |||||||
\(468\) | −4.49174 | − | 18.4732i | −0.207631 | − | 0.853924i | ||||
\(469\) | 1.39283 | + | 11.1676i | 0.0643148 | + | 0.515672i | ||||
\(470\) | −6.83323 | − | 3.94517i | −0.315193 | − | 0.181977i | ||||
\(471\) | 8.26894 | + | 11.0400i | 0.381012 | + | 0.508697i | ||||
\(472\) | − | 11.0296i | − | 0.507678i | ||||||
\(473\) | − | 19.8932i | − | 0.914689i | ||||||
\(474\) | 15.1203 | + | 20.1874i | 0.694499 | + | 0.927239i | ||||
\(475\) | −5.54674 | − | 3.20241i | −0.254502 | − | 0.146937i | ||||
\(476\) | 5.56705 | + | 2.35055i | 0.255165 | + | 0.107737i | ||||
\(477\) | 21.4578 | − | 20.4813i | 0.982484 | − | 0.937775i | ||||
\(478\) | −13.6442 | − | 23.6325i | −0.624073 | − | 1.08093i | ||||
\(479\) | −13.9012 | − | 24.0776i | −0.635163 | − | 1.10013i | −0.986481 | − | 0.163878i | \(-0.947600\pi\) |
0.351318 | − | 0.936256i | \(-0.385734\pi\) | |||||||
\(480\) | 2.45898 | − | 0.294657i | 0.112237 | − | 0.0134492i | ||||
\(481\) | −11.8308 | − | 6.83054i | −0.539440 | − | 0.311446i | ||||
\(482\) | −12.6450 | − | 21.9018i | −0.575965 | − | 0.997600i | ||||
\(483\) | −8.89296 | − | 35.8212i | −0.404644 | − | 1.62992i | ||||
\(484\) | −0.346305 | + | 0.599818i | −0.0157411 | + | 0.0272645i | ||||
\(485\) | −13.1363 | + | 7.58425i | −0.596489 | + | 0.344383i | ||||
\(486\) | −1.13232 | − | 15.5473i | −0.0513632 | − | 0.705239i | ||||
\(487\) | 3.73838 | − | 6.47506i | 0.169402 | − | 0.293413i | −0.768808 | − | 0.639480i | \(-0.779150\pi\) |
0.938210 | + | 0.346067i | \(0.112483\pi\) | |||||||
\(488\) | 11.4797 | 0.519664 | ||||||||
\(489\) | 18.1295 | + | 7.75790i | 0.819843 | + | 0.350824i | ||||
\(490\) | −9.63167 | − | 2.72213i | −0.435115 | − | 0.122973i | ||||
\(491\) | 19.1466 | − | 11.0543i | 0.864073 | − | 0.498873i | −0.00130103 | − | 0.999999i | \(-0.500414\pi\) |
0.865374 | + | 0.501126i | \(0.167081\pi\) | |||||||
\(492\) | −0.643896 | − | 0.275534i | −0.0290291 | − | 0.0124220i | ||||
\(493\) | 0.682643 | − | 0.394124i | 0.0307447 | − | 0.0177505i | ||||
\(494\) | 11.8931 | + | 6.86651i | 0.535098 | + | 0.308939i | ||||
\(495\) | −14.0759 | − | 4.12509i | −0.632664 | − | 0.185409i | ||||
\(496\) | − | 4.34228i | − | 0.194974i | ||||||
\(497\) | 9.33052 | − | 1.16371i | 0.418531 | − | 0.0521994i | ||||
\(498\) | 2.79158 | − | 0.334512i | 0.125094 | − | 0.0149898i | ||||
\(499\) | −16.4521 | + | 28.4959i | −0.736498 | + | 1.27565i | 0.217565 | + | 0.976046i | \(0.430189\pi\) |
−0.954063 | + | 0.299606i | \(0.903145\pi\) | |||||||
\(500\) | −11.3752 | −0.508715 | ||||||||
\(501\) | −18.0391 | − | 7.71923i | −0.805927 | − | 0.344870i | ||||
\(502\) | − | 8.19337i | − | 0.365688i | ||||||
\(503\) | −25.6142 | −1.14208 | −0.571039 | − | 0.820923i | \(-0.693460\pi\) | ||||
−0.571039 | + | 0.820923i | \(0.693460\pi\) | |||||||
\(504\) | 1.27237 | − | 7.83461i | 0.0566760 | − | 0.348981i | ||||
\(505\) | −11.5087 | −0.512129 | ||||||||
\(506\) | − | 27.5406i | − | 1.22433i | ||||||
\(507\) | −5.59690 | − | 46.7074i | −0.248567 | − | 2.07435i | ||||
\(508\) | −5.77773 | −0.256345 | ||||||||
\(509\) | −10.7358 | + | 18.5950i | −0.475857 | + | 0.824209i | −0.999617 | − | 0.0276567i | \(-0.991195\pi\) |
0.523760 | + | 0.851866i | \(0.324529\pi\) | |||||||
\(510\) | −2.22534 | + | 5.20041i | −0.0985398 | + | 0.230278i | ||||
\(511\) | 0.238924 | − | 0.565868i | 0.0105694 | − | 0.0250325i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 8.68873 | + | 7.16260i | 0.383617 | + | 0.316237i | ||||
\(514\) | −5.74560 | − | 3.31723i | −0.253428 | − | 0.146317i | ||||
\(515\) | −3.48443 | + | 2.01173i | −0.153542 | + | 0.0886476i | ||||
\(516\) | 1.19888 | + | 10.0049i | 0.0527776 | + | 0.440441i | ||||
\(517\) | −16.3415 | + | 9.43475i | −0.718697 | + | 0.414940i | ||||
\(518\) | −3.44112 | − | 4.54845i | −0.151194 | − | 0.199847i | ||||
\(519\) | −30.0710 | + | 22.5231i | −1.31997 | + | 0.988654i | ||||
\(520\) | 9.06117 | 0.397359 | ||||||||
\(521\) | −3.23087 | + | 5.59604i | −0.141547 | + | 0.245167i | −0.928079 | − | 0.372382i | \(-0.878541\pi\) |
0.786532 | + | 0.617549i | \(0.211874\pi\) | |||||||
\(522\) | −0.714861 | − | 0.748942i | −0.0312886 | − | 0.0327803i | ||||
\(523\) | 11.7830 | − | 6.80291i | 0.515234 | − | 0.297470i | −0.219749 | − | 0.975557i | \(-0.570524\pi\) |
0.734982 | + | 0.678086i | \(0.237190\pi\) | |||||||
\(524\) | −2.22833 | + | 3.85959i | −0.0973452 | + | 0.168607i | ||||
\(525\) | −3.74631 | + | 13.0155i | −0.163502 | + | 0.568043i | ||||
\(526\) | 3.02295 | + | 5.23590i | 0.131807 | + | 0.228296i | ||||
\(527\) | 8.58910 | + | 4.95892i | 0.374147 | + | 0.216014i | ||||
\(528\) | 2.33004 | − | 5.44507i | 0.101402 | − | 0.236966i | ||||
\(529\) | 20.9344 | + | 36.2594i | 0.910190 | + | 1.57649i | ||||
\(530\) | 7.06905 | + | 12.2440i | 0.307060 | + | 0.531843i | ||||
\(531\) | 9.30564 | − | 31.7533i | 0.403830 | − | 1.37798i | ||||
\(532\) | 3.45924 | + | 4.57241i | 0.149977 | + | 0.198239i | ||||
\(533\) | −2.21918 | − | 1.28124i | −0.0961233 | − | 0.0554968i | ||||
\(534\) | 2.76616 | − | 6.46426i | 0.119704 | − | 0.279736i | ||||
\(535\) | 22.6225i | 0.978055i | ||||||||
\(536\) | − | 4.25366i | − | 0.183730i | ||||||
\(537\) | −35.7556 | + | 4.28455i | −1.54297 | + | 0.184892i | ||||
\(538\) | 5.90750 | + | 3.41069i | 0.254690 | + | 0.147045i | ||||
\(539\) | −17.1547 | + | 16.6930i | −0.738904 | + | 0.719017i | ||||
\(540\) | 7.32781 | + | 1.22634i | 0.315339 | + | 0.0527734i | ||||
\(541\) | −14.9288 | − | 25.8574i | −0.641838 | − | 1.11170i | −0.985022 | − | 0.172428i | \(-0.944839\pi\) |
0.343184 | − | 0.939268i | \(-0.388494\pi\) | |||||||
\(542\) | −2.53907 | − | 4.39780i | −0.109063 | − | 0.188902i | ||||
\(543\) | 22.3556 | + | 29.8473i | 0.959369 | + | 1.28087i | ||||
\(544\) | −1.97802 | − | 1.14201i | −0.0848067 | − | 0.0489632i | ||||
\(545\) | −7.30188 | − | 12.6472i | −0.312778 | − | 0.541748i | ||||
\(546\) | 8.03272 | − | 27.9074i | 0.343769 | − | 1.19433i | ||||
\(547\) | −9.07207 | + | 15.7133i | −0.387894 | + | 0.671852i | −0.992166 | − | 0.124926i | \(-0.960131\pi\) |
0.604272 | + | 0.796778i | \(0.293464\pi\) | |||||||
\(548\) | −8.36293 | + | 4.82834i | −0.357247 | + | 0.206256i | ||||
\(549\) | 33.0493 | + | 9.68543i | 1.41051 | + | 0.413364i | ||||
\(550\) | −5.05313 | + | 8.75228i | −0.215466 | + | 0.373199i | ||||
\(551\) | 0.747888 | 0.0318611 | ||||||||
\(552\) | 1.65976 | + | 13.8510i | 0.0706439 | + | 0.589540i | ||||
\(553\) | 4.76822 | + | 38.2312i | 0.202765 | + | 1.62576i | ||||
\(554\) | −1.71398 | + | 0.989567i | −0.0728201 | + | 0.0420427i | ||||
\(555\) | 4.27308 | − | 3.20053i | 0.181382 | − | 0.135855i | ||||
\(556\) | −16.0680 | + | 9.27686i | −0.681435 | + | 0.393426i | ||||
\(557\) | −32.5079 | − | 18.7684i | −1.37740 | − | 0.795245i | −0.385558 | − | 0.922684i | \(-0.625991\pi\) |
−0.991846 | + | 0.127439i | \(0.959324\pi\) | |||||||
\(558\) | 3.66357 | − | 12.5011i | 0.155091 | − | 0.529213i | ||||
\(559\) | 36.8674i | 1.55932i | ||||||||
\(560\) | 3.48511 | + | 1.47150i | 0.147273 | + | 0.0621824i | ||||
\(561\) | 8.10951 | + | 10.8272i | 0.342384 | + | 0.457123i | ||||
\(562\) | 8.81631 | − | 15.2703i | 0.371894 | − | 0.644139i | ||||
\(563\) | 7.10681 | 0.299516 | 0.149758 | − | 0.988723i | \(-0.452150\pi\) | ||||
0.149758 | + | 0.988723i | \(0.452150\pi\) | |||||||
\(564\) | 7.65005 | − | 5.72987i | 0.322125 | − | 0.241271i | ||||
\(565\) | − | 12.0330i | − | 0.506231i | ||||||
\(566\) | −5.15385 | −0.216633 | ||||||||
\(567\) | 10.2731 | − | 21.4817i | 0.431429 | − | 0.902147i | ||||
\(568\) | −3.55393 | −0.149119 | ||||||||
\(569\) | 41.1650i | 1.72572i | 0.505439 | + | 0.862862i | \(0.331331\pi\) | ||||
−0.505439 | + | 0.862862i | \(0.668669\pi\) | |||||||
\(570\) | −4.29559 | + | 3.21738i | −0.179922 | + | 0.134761i | ||||
\(571\) | 4.42585 | 0.185216 | 0.0926080 | − | 0.995703i | \(-0.470480\pi\) | ||||
0.0926080 | + | 0.995703i | \(0.470480\pi\) | |||||||
\(572\) | 10.8348 | − | 18.7664i | 0.453024 | − | 0.784661i | ||||
\(573\) | −7.65193 | − | 10.2162i | −0.319664 | − | 0.426789i | ||||
\(574\) | −0.645471 | − | 0.853179i | −0.0269414 | − | 0.0356110i | ||||
\(575\) | − | 23.8042i | − | 0.992702i | ||||||
\(576\) | −0.843698 | + | 2.87892i | −0.0351541 | + | 0.119955i | ||||
\(577\) | 2.37542 | + | 1.37145i | 0.0988900 | + | 0.0570941i | 0.548629 | − | 0.836066i | \(-0.315150\pi\) |
−0.449739 | + | 0.893160i | \(0.648483\pi\) | |||||||
\(578\) | −10.2046 | + | 5.89164i | −0.424456 | + | 0.245060i | ||||
\(579\) | −3.91713 | + | 2.93392i | −0.162791 | + | 0.121930i | ||||
\(580\) | 0.427352 | − | 0.246732i | 0.0177448 | − | 0.0102450i | ||||
\(581\) | 3.95649 | + | 1.67054i | 0.164143 | + | 0.0693055i | ||||
\(582\) | −2.18614 | − | 18.2439i | −0.0906186 | − | 0.756233i | ||||
\(583\) | 33.8109 | 1.40030 | ||||||||
\(584\) | −0.116080 | + | 0.201057i | −0.00480344 | + | 0.00831981i | ||||
\(585\) | 26.0864 | + | 7.64489i | 1.07854 | + | 0.316077i | ||||
\(586\) | −1.78831 | + | 1.03248i | −0.0738745 | + | 0.0426515i | ||||
\(587\) | 9.90248 | − | 17.1516i | 0.408719 | − | 0.707922i | −0.586027 | − | 0.810291i | \(-0.699309\pi\) |
0.994747 | + | 0.102369i | \(0.0326422\pi\) | |||||||
\(588\) | 7.62162 | − | 9.42926i | 0.314310 | − | 0.388856i | ||||
\(589\) | 4.70501 | + | 8.14931i | 0.193866 | + | 0.335786i | ||||
\(590\) | 13.6578 | + | 7.88534i | 0.562283 | + | 0.324634i | ||||
\(591\) | 27.0885 | + | 36.1664i | 1.11427 | + | 1.48769i | ||||
\(592\) | 1.07786 | + | 1.86690i | 0.0442996 | + | 0.0767292i | ||||
\(593\) | 0.434850 | + | 0.753183i | 0.0178572 | + | 0.0309295i | 0.874816 | − | 0.484456i | \(-0.160982\pi\) |
−0.856959 | + | 0.515385i | \(0.827649\pi\) | |||||||
\(594\) | 11.3020 | − | 13.7101i | 0.463726 | − | 0.562531i | ||||
\(595\) | −6.89068 | + | 5.21313i | −0.282490 | + | 0.213717i | ||||
\(596\) | 5.63517 | + | 3.25347i | 0.230826 | + | 0.133267i | ||||
\(597\) | 26.5125 | − | 3.17697i | 1.08509 | − | 0.130025i | ||||
\(598\) | 51.0401i | 2.08719i | ||||||||
\(599\) | − | 2.69365i | − | 0.110059i | −0.998485 | − | 0.0550297i | \(-0.982475\pi\) | ||
0.998485 | − | 0.0550297i | \(-0.0175254\pi\) | |||||||
\(600\) | 2.01392 | − | 4.70633i | 0.0822179 | − | 0.192135i | ||||
\(601\) | 0.115325 | + | 0.0665827i | 0.00470419 | + | 0.00271596i | 0.502350 | − | 0.864664i | \(-0.332469\pi\) |
−0.497646 | + | 0.867380i | \(0.665802\pi\) | |||||||
\(602\) | −5.98714 | + | 14.1799i | −0.244018 | + | 0.577931i | ||||
\(603\) | 3.58880 | − | 12.2459i | 0.146147 | − | 0.498693i | ||||
\(604\) | 2.87950 | + | 4.98745i | 0.117165 | + | 0.202936i | ||||
\(605\) | −0.495165 | − | 0.857650i | −0.0201313 | − | 0.0348684i | ||||
\(606\) | 5.48455 | − | 12.8169i | 0.222795 | − | 0.520650i | ||||
\(607\) | −38.3860 | − | 22.1622i | −1.55804 | − | 0.899534i | −0.997445 | − | 0.0714432i | \(-0.977240\pi\) |
−0.560594 | − | 0.828091i | \(-0.689427\pi\) | |||||||
\(608\) | −1.08353 | − | 1.87673i | −0.0439431 | − | 0.0761117i | ||||
\(609\) | −0.381059 | − | 1.53492i | −0.0154413 | − | 0.0621982i | ||||
\(610\) | −8.20716 | + | 14.2152i | −0.332298 | + | 0.575557i | ||||
\(611\) | 30.2851 | − | 17.4851i | 1.22520 | − | 0.707372i | ||||
\(612\) | −4.73104 | − | 4.95660i | −0.191241 | − | 0.200359i | ||||
\(613\) | 3.29901 | − | 5.71406i | 0.133246 | − | 0.230789i | −0.791680 | − | 0.610936i | \(-0.790793\pi\) |
0.924926 | + | 0.380147i | \(0.124127\pi\) | |||||||
\(614\) | 1.09119 | 0.0440367 | ||||||||
\(615\) | 0.801527 | − | 0.600342i | 0.0323207 | − | 0.0242081i | ||||
\(616\) | 7.21486 | − | 5.45839i | 0.290695 | − | 0.219925i | ||||
\(617\) | −7.99450 | + | 4.61563i | −0.321846 | + | 0.185818i | −0.652215 | − | 0.758034i | \(-0.726160\pi\) |
0.330369 | + | 0.943852i | \(0.392827\pi\) | |||||||
\(618\) | −0.579878 | − | 4.83921i | −0.0233261 | − | 0.194662i | ||||
\(619\) | −5.66289 | + | 3.26947i | −0.227611 | + | 0.131411i | −0.609469 | − | 0.792810i | \(-0.708617\pi\) |
0.381859 | + | 0.924221i | \(0.375284\pi\) | |||||||
\(620\) | 5.37699 | + | 3.10441i | 0.215945 | + | 0.124676i | ||||
\(621\) | −6.90779 | + | 41.2764i | −0.277200 | + | 1.65636i | ||||
\(622\) | 15.2220i | 0.610347i | ||||||||
\(623\) | 8.56532 | − | 6.48007i | 0.343162 | − | 0.259619i | ||||
\(624\) | −4.31818 | + | 10.0912i | −0.172866 | + | 0.403970i | ||||
\(625\) | 0.743610 | − | 1.28797i | 0.0297444 | − | 0.0515188i | ||||
\(626\) | 11.5704 | 0.462445 | ||||||||
\(627\) | 1.52705 | + | 12.7436i | 0.0609847 | + | 0.508931i | ||||
\(628\) | − | 7.96361i | − | 0.317783i | ||||||
\(629\) | −4.92368 | −0.196320 | ||||||||
\(630\) | 8.79184 | + | 7.17672i | 0.350275 | + | 0.285927i | ||||
\(631\) | 13.8837 | 0.552699 | 0.276350 | − | 0.961057i | \(-0.410875\pi\) | ||||
0.276350 | + | 0.961057i | \(0.410875\pi\) | |||||||
\(632\) | − | 14.5620i | − | 0.579245i | ||||||
\(633\) | 14.0915 | + | 6.02997i | 0.560086 | + | 0.239670i | ||||
\(634\) | −17.1604 | −0.681526 | ||||||||
\(635\) | 4.13064 | − | 7.15449i | 0.163920 | − | 0.283917i | ||||
\(636\) | −17.0046 | + | 2.03764i | −0.674274 | + | 0.0807976i | ||||
\(637\) | 31.7922 | − | 30.9365i | 1.25965 | − | 1.22575i | ||||
\(638\) | − | 1.18010i | − | 0.0467207i | ||||||
\(639\) | −10.2315 | − | 2.99844i | −0.404751 | − | 0.118616i | ||||
\(640\) | −1.23829 | − | 0.714925i | −0.0489476 | − | 0.0282599i | ||||
\(641\) | −13.1940 | + | 7.61757i | −0.521133 | + | 0.300876i | −0.737398 | − | 0.675459i | \(-0.763946\pi\) |
0.216265 | + | 0.976335i | \(0.430612\pi\) | |||||||
\(642\) | −25.1940 | − | 10.7809i | −0.994328 | − | 0.425489i | ||||
\(643\) | −16.5813 | + | 9.57324i | −0.653904 | + | 0.377532i | −0.789950 | − | 0.613171i | \(-0.789894\pi\) |
0.136046 | + | 0.990702i | \(0.456560\pi\) | |||||||
\(644\) | −8.28874 | + | 19.6310i | −0.326622 | + | 0.773571i | ||||
\(645\) | −13.2461 | − | 5.66821i | −0.521563 | − | 0.223185i | ||||
\(646\) | 4.94962 | 0.194740 | ||||||||
\(647\) | 0.793991 | − | 1.37523i | 0.0312150 | − | 0.0540660i | −0.849996 | − | 0.526789i | \(-0.823396\pi\) |
0.881211 | + | 0.472723i | \(0.156729\pi\) | |||||||
\(648\) | −4.85787 | + | 7.57635i | −0.190835 | + | 0.297627i | ||||
\(649\) | 32.6622 | − | 18.8576i | 1.28211 | − | 0.740224i | ||||
\(650\) | 9.36481 | − | 16.2203i | 0.367318 | − | 0.636213i | ||||
\(651\) | 14.3279 | − | 13.8085i | 0.561555 | − | 0.541197i | ||||
\(652\) | −5.69256 | − | 9.85980i | −0.222938 | − | 0.386140i | ||||
\(653\) | −15.5572 | − | 8.98197i | −0.608802 | − | 0.351492i | 0.163695 | − | 0.986511i | \(-0.447659\pi\) |
−0.772496 | + | 0.635019i | \(0.780992\pi\) | |||||||
\(654\) | 17.5646 | − | 2.10475i | 0.686831 | − | 0.0823023i | ||||
\(655\) | −3.18619 | − | 5.51863i | −0.124495 | − | 0.215631i | ||||
\(656\) | 0.202180 | + | 0.350186i | 0.00789380 | + | 0.0136725i | ||||
\(657\) | −0.503818 | + | 0.480891i | −0.0196558 | + | 0.0187613i | ||||
\(658\) | 14.4878 | − | 1.80692i | 0.564793 | − | 0.0704412i | ||||
\(659\) | 10.0955 | + | 5.82866i | 0.393266 | + | 0.227052i | 0.683574 | − | 0.729881i | \(-0.260424\pi\) |
−0.290308 | + | 0.956933i | \(0.593758\pi\) | |||||||
\(660\) | 5.07676 | + | 6.77807i | 0.197612 | + | 0.263836i | ||||
\(661\) | − | 18.2195i | − | 0.708657i | −0.935121 | − | 0.354328i | \(-0.884710\pi\) | ||
0.935121 | − | 0.354328i | \(-0.115290\pi\) | |||||||
\(662\) | − | 26.4931i | − | 1.02968i | ||||||
\(663\) | −15.0291 | − | 20.0656i | −0.583682 | − | 0.779284i | ||||
\(664\) | −1.40577 | − | 0.811624i | −0.0545546 | − | 0.0314971i | ||||
\(665\) | −8.13505 | + | 1.01461i | −0.315464 | + | 0.0393448i | ||||
\(666\) | 1.52796 | + | 6.28404i | 0.0592073 | + | 0.243502i | ||||
\(667\) | 1.38980 | + | 2.40720i | 0.0538132 | + | 0.0932072i | ||||
\(668\) | 5.66418 | + | 9.81065i | 0.219154 | + | 0.379585i | ||||
\(669\) | −13.6814 | + | 1.63942i | −0.528952 | + | 0.0633837i | ||||
\(670\) | 5.26725 | + | 3.04105i | 0.203491 | + | 0.117486i | ||||
\(671\) | 19.6272 | + | 33.9953i | 0.757699 | + | 1.31237i | ||||
\(672\) | −3.29963 | + | 3.18001i | −0.127286 | + | 0.122671i | ||||
\(673\) | 2.41106 | − | 4.17608i | 0.0929395 | − | 0.160976i | −0.815807 | − | 0.578324i | \(-0.803707\pi\) |
0.908747 | + | 0.417348i | \(0.137040\pi\) | |||||||
\(674\) | −7.03993 | + | 4.06451i | −0.271168 | + | 0.156559i | ||||
\(675\) | 9.76863 | − | 11.8500i | 0.375995 | − | 0.456107i | ||||
\(676\) | −13.5797 | + | 23.5208i | −0.522297 | + | 0.904645i | ||||
\(677\) | 23.1290 | 0.888920 | 0.444460 | − | 0.895799i | \(-0.353396\pi\) | ||||
0.444460 | + | 0.895799i | \(0.353396\pi\) | |||||||
\(678\) | 13.4008 | + | 5.73442i | 0.514654 | + | 0.220229i | ||||
\(679\) | 10.9175 | − | 25.8570i | 0.418975 | − | 0.992300i | ||||
\(680\) | 2.82827 | − | 1.63290i | 0.108459 | − | 0.0626189i | ||||
\(681\) | 14.7131 | + | 6.29599i | 0.563808 | + | 0.241263i | ||||
\(682\) | 12.8589 | − | 7.42410i | 0.492393 | − | 0.284283i | ||||
\(683\) | −6.80041 | − | 3.92622i | −0.260210 | − | 0.150233i | 0.364220 | − | 0.931313i | \(-0.381336\pi\) |
−0.624431 | + | 0.781080i | \(0.714669\pi\) | |||||||
\(684\) | −1.53601 | − | 6.31714i | −0.0587307 | − | 0.241542i | ||||
\(685\) | − | 13.8076i | − | 0.527562i | ||||||
\(686\) | 17.2519 | − | 6.73586i | 0.658681 | − | 0.257176i | ||||
\(687\) | −14.5225 | + | 1.74021i | −0.554067 | + | 0.0663933i | ||||
\(688\) | 2.90883 | − | 5.03824i | 0.110898 | − | 0.192081i | ||||
\(689\) | −62.6606 | −2.38718 | ||||||||
\(690\) | −18.3382 | − | 7.84721i | −0.698122 | − | 0.298738i | ||||
\(691\) | 17.1676i | 0.653085i | 0.945182 | + | 0.326543i | \(0.105884\pi\) | ||||
−0.945182 | + | 0.326543i | \(0.894116\pi\) | |||||||
\(692\) | 21.6914 | 0.824584 | ||||||||
\(693\) | 25.3762 | − | 9.62710i | 0.963964 | − | 0.365703i | ||||
\(694\) | −25.6171 | −0.972412 | ||||||||
\(695\) | − | 26.5290i | − | 1.00630i | ||||||
\(696\) | 0.0711198 | + | 0.593511i | 0.00269579 | + | 0.0224970i | ||||
\(697\) | −0.923564 | −0.0349825 | ||||||||
\(698\) | −5.26504 | + | 9.11932i | −0.199285 | + | 0.345171i | ||||
\(699\) | 11.3441 | − | 26.5100i | 0.429071 | − | 1.00270i | ||||
\(700\) | 6.23602 | − | 4.71785i | 0.235699 | − | 0.178318i | ||||
\(701\) | − | 34.9404i | − | 1.31968i | −0.751406 | − | 0.659840i | \(-0.770624\pi\) | ||
0.751406 | − | 0.659840i | \(-0.229376\pi\) | |||||||
\(702\) | −20.9456 | + | 25.4084i | −0.790540 | + | 0.958979i | ||||
\(703\) | −4.04570 | − | 2.33579i | −0.152587 | − | 0.0880959i | ||||
\(704\) | −2.96133 | + | 1.70972i | −0.111609 | + | 0.0644376i | ||||
\(705\) | 1.62601 | + | 13.5694i | 0.0612389 | + | 0.511053i | ||||
\(706\) | −11.1230 | + | 6.42186i | −0.418619 | + | 0.241690i | ||||
\(707\) | 16.9827 | − | 12.8482i | 0.638701 | − | 0.483207i | ||||
\(708\) | −15.2904 | + | 11.4525i | −0.574649 | + | 0.430410i | ||||
\(709\) | −24.3336 | −0.913867 | −0.456933 | − | 0.889501i | \(-0.651052\pi\) | ||||
−0.456933 | + | 0.889501i | \(0.651052\pi\) | |||||||
\(710\) | 2.54079 | − | 4.40078i | 0.0953542 | − | 0.165158i | ||||
\(711\) | 12.2859 | − | 41.9228i | 0.460758 | − | 1.57223i | ||||
\(712\) | −3.51562 | + | 2.02974i | −0.131753 | + | 0.0760678i | ||||
\(713\) | −17.4866 | + | 30.2877i | −0.654879 | + | 1.13428i | ||||
\(714\) | −2.52190 | − | 10.1583i | −0.0943797 | − | 0.380165i | ||||
\(715\) | 15.4921 | + | 26.8331i | 0.579372 | + | 1.00350i | ||||
\(716\) | 18.0057 | + | 10.3956i | 0.672904 | + | 0.388501i | ||||
\(717\) | −18.5946 | + | 43.4537i | −0.694427 | + | 1.62281i | ||||
\(718\) | 14.8311 | + | 25.6881i | 0.553490 | + | 0.958673i | ||||
\(719\) | 8.76887 | + | 15.1881i | 0.327024 | + | 0.566422i | 0.981920 | − | 0.189297i | \(-0.0606210\pi\) |
−0.654896 | + | 0.755719i | \(0.727288\pi\) | |||||||
\(720\) | −2.96175 | − | 3.10295i | −0.110378 | − | 0.115640i | ||||
\(721\) | 2.89588 | − | 6.85860i | 0.107848 | − | 0.255428i | ||||
\(722\) | −12.3875 | − | 7.15191i | −0.461014 | − | 0.266167i | ||||
\(723\) | −17.2328 | + | 40.2714i | −0.640895 | + | 1.49771i | ||||
\(724\) | − | 21.5301i | − | 0.800159i | ||||||
\(725\) | − | 1.02000i | − | 0.0378818i | ||||||
\(726\) | 1.19112 | − | 0.142730i | 0.0442064 | − | 0.00529721i | ||||
\(727\) | −33.8627 | − | 19.5507i | −1.25590 | − | 0.725094i | −0.283625 | − | 0.958935i | \(-0.591537\pi\) |
−0.972275 | + | 0.233841i | \(0.924870\pi\) | |||||||
\(728\) | −13.3711 | + | 10.1159i | −0.495565 | + | 0.374919i | ||||
\(729\) | −20.3776 | + | 17.7131i | −0.754725 | + | 0.656041i | ||||
\(730\) | −0.165978 | − | 0.287482i | −0.00614311 | − | 0.0106402i | ||||
\(731\) | 6.64381 | + | 11.5074i | 0.245730 | + | 0.425617i | ||||
\(732\) | −11.9199 | − | 15.9145i | −0.440572 | − | 0.588215i | ||||
\(733\) | 20.3073 | + | 11.7245i | 0.750069 | + | 0.433053i | 0.825719 | − | 0.564082i | \(-0.190770\pi\) |
−0.0756499 | + | 0.997134i | \(0.524103\pi\) | |||||||
\(734\) | 11.9989 | + | 20.7828i | 0.442889 | + | 0.767107i | ||||
\(735\) | 6.22725 | + | 16.1790i | 0.229695 | + | 0.596770i | ||||
\(736\) | 4.02706 | − | 6.97507i | 0.148439 | − | 0.257104i | ||||
\(737\) | 12.5965 | − | 7.27257i | 0.463997 | − | 0.267889i | ||||
\(738\) | 0.286609 | + | 1.17874i | 0.0105502 | + | 0.0433898i | ||||
\(739\) | 13.3662 | − | 23.1509i | 0.491682 | − | 0.851618i | −0.508272 | − | 0.861197i | \(-0.669716\pi\) |
0.999954 | + | 0.00957820i | \(0.00304888\pi\) | |||||||
\(740\) | −3.08235 | −0.113309 | ||||||||
\(741\) | −2.83004 | − | 23.6173i | −0.103964 | − | 0.867605i | ||||
\(742\) | −24.1005 | − | 10.1759i | −0.884757 | − | 0.373568i | ||||
\(743\) | −11.0914 | + | 6.40360i | −0.406903 | + | 0.234925i | −0.689458 | − | 0.724326i | \(-0.742151\pi\) |
0.282555 | + | 0.959251i | \(0.408818\pi\) | |||||||
\(744\) | −6.01974 | + | 4.50877i | −0.220694 | + | 0.165299i | ||||
\(745\) | −8.05745 | + | 4.65197i | −0.295202 | + | 0.170435i | ||||
\(746\) | 10.2528 | + | 5.91948i | 0.375383 | + | 0.216727i | ||||
\(747\) | −3.36234 | − | 3.52265i | −0.123022 | − | 0.128887i | ||||
\(748\) | − | 7.81007i | − | 0.285564i | ||||||
\(749\) | −25.2556 | − | 33.3827i | −0.922821 | − | 1.21978i | ||||
\(750\) | 11.8113 | + | 15.7695i | 0.431289 | + | 0.575822i | ||||
\(751\) | 5.12417 | − | 8.87532i | 0.186984 | − | 0.323865i | −0.757260 | − | 0.653114i | \(-0.773462\pi\) |
0.944243 | + | 0.329249i | \(0.106796\pi\) | |||||||
\(752\) | −5.51829 | −0.201231 | ||||||||
\(753\) | −11.3585 | + | 8.50751i | −0.413928 | + | 0.310031i | ||||
\(754\) | 2.18705i | 0.0796475i | ||||||||
\(755\) | −8.23452 | −0.299685 | ||||||||
\(756\) | −12.1823 | + | 6.37109i | −0.443067 | + | 0.231714i | ||||
\(757\) | 11.0844 | 0.402868 | 0.201434 | − | 0.979502i | \(-0.435440\pi\) | ||||
0.201434 | + | 0.979502i | \(0.435440\pi\) | |||||||
\(758\) | − | 13.1379i | − | 0.477191i | ||||||
\(759\) | −38.1797 | + | 28.5965i | −1.38584 | + | 1.03799i | ||||
\(760\) | 3.09858 | 0.112397 | ||||||||
\(761\) | −8.14993 | + | 14.1161i | −0.295435 | + | 0.511708i | −0.975086 | − | 0.221827i | \(-0.928798\pi\) |
0.679651 | + | 0.733536i | \(0.262131\pi\) | |||||||
\(762\) | 5.99925 | + | 8.00971i | 0.217330 | + | 0.290161i | ||||
\(763\) | 24.8943 | + | 10.5110i | 0.901234 | + | 0.380525i | ||||
\(764\) | 7.36938i | 0.266615i | ||||||||
\(765\) | 9.52003 | − | 2.31479i | 0.344197 | − | 0.0836913i | ||||
\(766\) | −15.2005 | − | 8.77603i | −0.549217 | − | 0.317091i | ||||
\(767\) | −60.5319 | + | 34.9481i | −2.18568 | + | 1.26190i | ||||
\(768\) | 1.38631 | − | 1.03834i | 0.0500241 | − | 0.0374679i | ||||
\(769\) | 41.4043 | − | 23.9048i | 1.49308 | − | 0.862029i | 0.493110 | − | 0.869967i | \(-0.335860\pi\) |
0.999968 | + | 0.00793771i | \(0.00252668\pi\) | |||||||
\(770\) | 1.60096 | + | 12.8364i | 0.0576947 | + | 0.462592i | ||||
\(771\) | 1.36720 | + | 11.4096i | 0.0492384 | + | 0.410906i | ||||
\(772\) | 2.82559 | 0.101695 | ||||||||
\(773\) | −6.25441 | + | 10.8330i | −0.224956 | + | 0.389635i | −0.956306 | − | 0.292367i | \(-0.905557\pi\) |
0.731350 | + | 0.682002i | \(0.238890\pi\) | |||||||
\(774\) | 12.6250 | − | 12.0505i | 0.453798 | − | 0.433147i | ||||
\(775\) | 11.1143 | − | 6.41686i | 0.399239 | − | 0.230501i | ||||
\(776\) | −5.30423 | + | 9.18719i | −0.190411 | + | 0.329801i | ||||
\(777\) | −2.73250 | + | 9.49329i | −0.0980277 | + | 0.340570i | ||||
\(778\) | 10.9205 | + | 18.9148i | 0.391518 | + | 0.678130i | ||||
\(779\) | −0.758876 | − | 0.438137i | −0.0271896 | − | 0.0156979i | ||||
\(780\) | −9.40859 | − | 12.5616i | −0.336881 | − | 0.449777i | ||||
\(781\) | −6.07623 | − | 10.5243i | −0.217425 | − | 0.376590i | ||||
\(782\) | 9.19786 | + | 15.9312i | 0.328915 | + | 0.569697i | ||||
\(783\) | −0.295996 | + | 1.76867i | −0.0105780 | + | 0.0632073i | ||||
\(784\) | −6.78556 | + | 1.71934i | −0.242342 | + | 0.0614051i | ||||
\(785\) | 9.86123 | + | 5.69338i | 0.351962 | + | 0.203206i | ||||
\(786\) | 7.66435 | − | 0.918411i | 0.273378 | − | 0.0327586i | ||||
\(787\) | 0.261017i | 0.00930426i | 0.999989 | + | 0.00465213i | \(0.00148082\pi\) | ||||
−0.999989 | + | 0.00465213i | \(0.998519\pi\) | |||||||
\(788\) | − | 26.0883i | − | 0.929357i | ||||||
\(789\) | 4.11972 | − | 9.62739i | 0.146666 | − | 0.342744i | ||||
\(790\) | 18.0319 | + | 10.4107i | 0.641548 | + | 0.370398i | ||||
\(791\) | 13.4336 | + | 17.7564i | 0.477643 | + | 0.631345i | ||||
\(792\) | −9.96791 | + | 2.42369i | −0.354194 | + | 0.0861221i | ||||
\(793\) | −36.3744 | − | 63.0024i | −1.29169 | − | 2.23728i | ||||
\(794\) | 19.4935 | + | 33.7636i | 0.691797 | + | 1.19823i | ||||
\(795\) | 9.63381 | − | 22.5133i | 0.341676 | − | 0.798464i | ||||
\(796\) | −13.3511 | − | 7.70826i | −0.473217 | − | 0.273212i | ||||
\(797\) | 1.85220 | + | 3.20810i | 0.0656083 | + | 0.113637i | 0.896964 | − | 0.442104i | \(-0.145768\pi\) |
−0.831355 | + | 0.555741i | \(0.812435\pi\) | |||||||
\(798\) | 2.74689 | − | 9.54329i | 0.0972388 | − | 0.337829i | ||||
\(799\) | 6.30194 | − | 10.9153i | 0.222946 | − | 0.386155i | ||||
\(800\) | −2.55956 | + | 1.47776i | −0.0904942 | + | 0.0522468i | ||||
\(801\) | −11.8337 | + | 2.87735i | −0.418122 | + | 0.101666i | ||||
\(802\) | 11.5989 | − | 20.0899i | 0.409573 | − | 0.709400i | ||||
\(803\) | −0.793862 | −0.0280148 | ||||||||
\(804\) | −5.89688 | + | 4.41674i | −0.207967 | + | 0.155767i | ||||
\(805\) | −18.3830 | − | 24.2986i | −0.647917 | − | 0.856412i | ||||
\(806\) | −23.8310 | + | 13.7588i | −0.839411 | + | 0.484634i | ||||
\(807\) | −1.40572 | − | 11.7311i | −0.0494837 | − | 0.412953i | ||||
\(808\) | −6.97052 | + | 4.02443i | −0.245222 | + | 0.141579i | ||||
\(809\) | 5.94276 | + | 3.43105i | 0.208936 | + | 0.120629i | 0.600817 | − | 0.799387i | \(-0.294842\pi\) |
−0.391881 | + | 0.920016i | \(0.628175\pi\) | |||||||
\(810\) | −5.90868 | − | 11.4320i | −0.207610 | − | 0.401678i | ||||
\(811\) | − | 23.1945i | − | 0.814470i | −0.913323 | − | 0.407235i | \(-0.866493\pi\) | ||
0.913323 | − | 0.407235i | \(-0.133507\pi\) | |||||||
\(812\) | −0.355169 | + | 0.841182i | −0.0124640 | + | 0.0295197i | ||||
\(813\) | −3.46029 | + | 8.08635i | −0.121358 | + | 0.283601i | ||||
\(814\) | −3.68567 | + | 6.38377i | −0.129183 | + | 0.223751i | ||||
\(815\) | 16.2790 | 0.570229 | ||||||||
\(816\) | 0.470680 | + | 3.92793i | 0.0164771 | + | 0.137505i | ||||
\(817\) | 12.6073i | 0.441072i | ||||||||
\(818\) | 24.6187 | 0.860774 | ||||||||
\(819\) | −47.0290 | + | 17.8416i | −1.64332 | + | 0.623435i | ||||
\(820\) | −0.578174 | −0.0201907 | ||||||||
\(821\) | − | 3.79377i | − | 0.132403i | −0.997806 | − | 0.0662017i | \(-0.978912\pi\) | ||
0.997806 | − | 0.0662017i | \(-0.0210881\pi\) | |||||||
\(822\) | 15.3771 | + | 6.58013i | 0.536339 | + | 0.229508i | ||||
\(823\) | −14.9079 | −0.519656 | −0.259828 | − | 0.965655i | \(-0.583666\pi\) | ||||
−0.259828 | + | 0.965655i | \(0.583666\pi\) | |||||||
\(824\) | −1.40695 | + | 2.43692i | −0.0490136 | + | 0.0848940i | ||||
\(825\) | 17.3802 | − | 2.08265i | 0.605102 | − | 0.0725087i | ||||
\(826\) | −28.9572 | + | 3.61156i | −1.00755 | + | 0.125662i | ||||
\(827\) | − | 21.9819i | − | 0.764384i | −0.924083 | − | 0.382192i | \(-0.875169\pi\) | ||
0.924083 | − | 0.382192i | \(-0.124831\pi\) | |||||||
\(828\) | 17.4784 | − | 16.6830i | 0.607417 | − | 0.579775i | ||||
\(829\) | 12.2406 | + | 7.06713i | 0.425135 | + | 0.245452i | 0.697272 | − | 0.716807i | \(-0.254397\pi\) |
−0.272137 | + | 0.962259i | \(0.587730\pi\) | |||||||
\(830\) | 2.01005 | − | 1.16050i | 0.0697697 | − | 0.0402816i | ||||
\(831\) | 3.15154 | + | 1.34860i | 0.109326 | + | 0.0467823i | ||||
\(832\) | 5.48813 | − | 3.16857i | 0.190267 | − | 0.109851i | ||||
\(833\) | 4.34828 | − | 15.3855i | 0.150659 | − | 0.533074i | ||||
\(834\) | 29.5446 | + | 12.6426i | 1.02305 | + | 0.437779i | ||||
\(835\) | −16.1979 | −0.560550 | ||||||||
\(836\) | 3.70508 | − | 6.41739i | 0.128143 | − | 0.221950i | ||||
\(837\) | −21.1344 | + | 7.90153i | −0.730511 | + | 0.273117i | ||||
\(838\) | −14.7916 | + | 8.53996i | −0.510969 | + | 0.295008i | ||||
\(839\) | 8.92488 | − | 15.4583i | 0.308121 | − | 0.533681i | −0.669830 | − | 0.742514i | \(-0.733633\pi\) |
0.977951 | + | 0.208833i | \(0.0669665\pi\) | |||||||
\(840\) | −1.57877 | − | 6.35936i | −0.0544728 | − | 0.219419i | ||||
\(841\) | −14.4404 | − | 25.0116i | −0.497946 | − | 0.862469i | ||||
\(842\) | −12.7419 | − | 7.35652i | −0.439114 | − | 0.253522i | ||||
\(843\) | −30.3237 | + | 3.63365i | −1.04440 | + | 0.125150i | ||||
\(844\) | −4.42465 | − | 7.66371i | −0.152303 | − | 0.263796i | ||||
\(845\) | −19.4170 | − | 33.6312i | −0.667964 | − | 1.15695i | ||||
\(846\) | −15.8867 | − | 4.65577i | −0.546197 | − | 0.160069i | ||||
\(847\) | 1.68816 | + | 0.712787i | 0.0580060 | + | 0.0244917i | ||||
\(848\) | 8.56310 | + | 4.94391i | 0.294058 | + | 0.169775i | ||||
\(849\) | 5.35145 | + | 7.14482i | 0.183661 | + | 0.245210i | ||||
\(850\) | − | 6.75047i | − | 0.231539i | ||||||
\(851\) | − | 17.3624i | − | 0.595174i | ||||||
\(852\) | 3.69019 | + | 4.92684i | 0.126424 | + | 0.168791i | ||||
\(853\) | 35.2392 | + | 20.3454i | 1.20657 | + | 0.696612i | 0.962008 | − | 0.273022i | \(-0.0880233\pi\) |
0.244559 | + | 0.969634i | \(0.421357\pi\) | |||||||
\(854\) | −3.75896 | − | 30.1391i | −0.128629 | − | 1.03134i | ||||
\(855\) | 8.92057 | + | 2.61427i | 0.305077 | + | 0.0894060i | ||||
\(856\) | 7.91078 | + | 13.7019i | 0.270385 | + | 0.468320i | ||||
\(857\) | 2.72896 | + | 4.72669i | 0.0932194 | + | 0.161461i | 0.908864 | − | 0.417092i | \(-0.136951\pi\) |
−0.815645 | + | 0.578553i | \(0.803618\pi\) | |||||||
\(858\) | −37.2661 | + | 4.46556i | −1.27224 | + | 0.152452i | ||||
\(859\) | 38.8822 | + | 22.4487i | 1.32664 | + | 0.765938i | 0.984779 | − | 0.173810i | \(-0.0556080\pi\) |
0.341865 | + | 0.939749i | \(0.388941\pi\) | |||||||
\(860\) | 4.15919 | + | 7.20393i | 0.141827 | + | 0.245652i | ||||
\(861\) | −0.512550 | + | 1.78071i | −0.0174677 | + | 0.0606865i | ||||
\(862\) | 4.80521 | − | 8.32286i | 0.163666 | − | 0.283478i | ||||
\(863\) | 19.6689 | − | 11.3559i | 0.669539 | − | 0.386558i | −0.126363 | − | 0.991984i | \(-0.540330\pi\) |
0.795902 | + | 0.605426i | \(0.206997\pi\) | |||||||
\(864\) | 4.86711 | − | 1.81967i | 0.165583 | − | 0.0619066i | ||||
\(865\) | −15.5077 | + | 26.8602i | −0.527279 | + | 0.913274i | ||||
\(866\) | −9.04314 | −0.307298 | ||||||||
\(867\) | 18.7635 | + | 8.02921i | 0.637241 | + | 0.272686i | ||||
\(868\) | −11.4003 | + | 1.42185i | −0.386950 | + | 0.0482606i | ||||
\(869\) | 43.1229 | − | 24.8970i | 1.46284 | − | 0.844573i | ||||
\(870\) | −0.785782 | − | 0.336249i | −0.0266405 | − | 0.0113999i | ||||
\(871\) | −23.3446 | + | 13.4780i | −0.791002 | + | 0.456685i | ||||
\(872\) | −8.84514 | − | 5.10675i | −0.299534 | − | 0.172936i | ||||
\(873\) | −23.0217 | + | 21.9740i | −0.779165 | + | 0.743708i | ||||
\(874\) | 17.4538i | 0.590384i | ||||||||
\(875\) | 3.72473 | + | 29.8646i | 0.125919 | + | 1.00961i | ||||
\(876\) | 0.399258 | − | 0.0478427i | 0.0134897 | − | 0.00161645i | ||||
\(877\) | 15.2445 | − | 26.4043i | 0.514771 | − | 0.891610i | −0.485082 | − | 0.874469i | \(-0.661210\pi\) |
0.999853 | − | 0.0171413i | \(-0.00545653\pi\) | |||||||
\(878\) | 0.913795 | 0.0308391 | ||||||||
\(879\) | 3.28822 | + | 1.40708i | 0.110909 | + | 0.0474597i | ||||
\(880\) | − | 4.88930i | − | 0.164818i | ||||||
\(881\) | 29.3810 | 0.989871 | 0.494935 | − | 0.868930i | \(-0.335192\pi\) | ||||
0.494935 | + | 0.868930i | \(0.335192\pi\) | |||||||
\(882\) | −20.9857 | − | 0.775118i | −0.706625 | − | 0.0260996i | ||||
\(883\) | 14.1682 | 0.476798 | 0.238399 | − | 0.971167i | \(-0.423377\pi\) | ||||
0.238399 | + | 0.971167i | \(0.423377\pi\) | |||||||
\(884\) | 14.4741i | 0.486818i | ||||||||
\(885\) | −3.24995 | − | 27.1216i | −0.109246 | − | 0.911682i | ||||
\(886\) | 29.3616 | 0.986424 | ||||||||
\(887\) | −16.3537 | + | 28.3254i | −0.549103 | + | 0.951074i | 0.449234 | + | 0.893414i | \(0.351697\pi\) |
−0.998336 | + | 0.0576593i | \(0.981636\pi\) | |||||||
\(888\) | 1.46892 | − | 3.43272i | 0.0492937 | − | 0.115195i | ||||
\(889\) | 1.89187 | + | 15.1689i | 0.0634514 | + | 0.508749i | ||||
\(890\) | − | 5.80446i | − | 0.194566i | ||||||
\(891\) | −30.7417 | − | 1.43230i | −1.02988 | − | 0.0479837i | ||||
\(892\) | 6.88961 | + | 3.97772i | 0.230681 | + | 0.133184i | ||||
\(893\) | 10.3564 | − | 5.97926i | 0.346563 | − | 0.200088i | ||||
\(894\) | −1.34092 | − | 11.1903i | −0.0448471 | − | 0.374259i | ||||
\(895\) | −25.7454 | + | 14.8641i | −0.860575 | + | 0.496853i | ||||
\(896\) | 2.62541 | − | 0.327442i | 0.0877088 | − | 0.0109391i | ||||
\(897\) | 70.7573 | − | 52.9970i | 2.36252 | − | 1.76952i | ||||
\(898\) | −3.36736 | −0.112370 | ||||||||
\(899\) | −0.749293 | + | 1.29781i | −0.0249903 | + | 0.0432845i | ||||
\(900\) | −8.61556 | + | 2.09487i | −0.287185 | + | 0.0698289i | ||||
\(901\) | −19.5583 | + | 11.2920i | −0.651580 | + | 0.376190i | ||||
\(902\) | −0.691343 | + | 1.19744i | −0.0230192 | + | 0.0398704i | ||||
\(903\) | 25.8744 | − | 6.42358i | 0.861047 | − | 0.213763i | ||||
\(904\) | −4.20778 | − | 7.28808i | −0.139949 | − | 0.242398i | ||||
\(905\) | 26.6604 | + | 15.3924i | 0.886222 | + | 0.511661i | ||||
\(906\) | 3.92423 | − | 9.17054i | 0.130374 | − | 0.304671i | ||||
\(907\) | −28.3467 | − | 49.0980i | −0.941238 | − | 1.63027i | −0.763115 | − | 0.646263i | \(-0.776331\pi\) |
−0.178123 | − | 0.984008i | \(-0.557002\pi\) | |||||||
\(908\) | −4.61984 | − | 8.00180i | −0.153315 | − | 0.265549i | ||||
\(909\) | −23.4630 | + | 5.70500i | −0.778218 | + | 0.189223i | ||||
\(910\) | −2.96701 | − | 23.7893i | −0.0983555 | − | 0.788608i | ||||
\(911\) | 0.621795 | + | 0.358994i | 0.0206010 | + | 0.0118940i | 0.510265 | − | 0.860017i | \(-0.329547\pi\) |
−0.489664 | + | 0.871911i | \(0.662881\pi\) | |||||||
\(912\) | −1.47666 | + | 3.45080i | −0.0488969 | + | 0.114267i | ||||
\(913\) | − | 5.55061i | − | 0.183698i | ||||||
\(914\) | − | 15.1139i | − | 0.499922i | ||||||
\(915\) | 28.2285 | − | 3.38259i | 0.933205 | − | 0.111825i | ||||
\(916\) | 7.31319 | + | 4.22227i | 0.241635 | + | 0.139508i | ||||
\(917\) | 10.8627 | + | 4.58650i | 0.358717 | + | 0.151460i | ||||
\(918\) | −1.95894 | + | 11.7053i | −0.0646546 | + | 0.386333i | ||||
\(919\) | 18.9720 | + | 32.8605i | 0.625829 | + | 1.08397i | 0.988380 | + | 0.152004i | \(0.0485727\pi\) |
−0.362550 | + | 0.931964i | \(0.618094\pi\) | |||||||
\(920\) | 5.75809 | + | 9.97330i | 0.189839 | + | 0.328810i | ||||
\(921\) | −1.13302 | − | 1.51272i | −0.0373343 | − | 0.0498458i | ||||
\(922\) | 8.99706 | + | 5.19445i | 0.296302 | + | 0.171070i | ||||
\(923\) | 11.2609 | + | 19.5044i | 0.370656 | + | 0.641996i | ||||
\(924\) | −15.0585 | − | 4.33435i | −0.495388 | − | 0.142590i | ||||
\(925\) | −3.18563 | + | 5.51768i | −0.104743 | + | 0.181420i | ||||
\(926\) | 4.60244 | − | 2.65722i | 0.151246 | − | 0.0873217i | ||||
\(927\) | −6.10653 | + | 5.82864i | −0.200565 | + | 0.191438i | ||||
\(928\) | 0.172558 | − | 0.298879i | 0.00566448 | − | 0.00981117i | ||||
\(929\) | 42.8700 | 1.40652 | 0.703259 | − | 0.710934i | \(-0.251727\pi\) | ||||
0.703259 | + | 0.710934i | \(0.251727\pi\) | |||||||
\(930\) | −1.27948 | − | 10.6776i | −0.0419559 | − | 0.350132i | ||||
\(931\) | 10.8717 | − | 10.5791i | 0.356307 | − | 0.346717i | ||||
\(932\) | −14.4176 | + | 8.32399i | −0.472263 | + | 0.272661i | ||||
\(933\) | 21.1024 | − | 15.8056i | 0.690861 | − | 0.517453i | ||||
\(934\) | −16.8874 | + | 9.74994i | −0.552572 | + | 0.319028i | ||||
\(935\) | 9.67111 | + | 5.58362i | 0.316279 | + | 0.182604i | ||||
\(936\) | 18.4732 | − | 4.49174i | 0.603816 | − | 0.146817i | ||||
\(937\) | 8.64637i | 0.282464i | 0.989976 | + | 0.141232i | \(0.0451064\pi\) | ||||
−0.989976 | + | 0.141232i | \(0.954894\pi\) | |||||||
\(938\) | −11.1676 | + | 1.39283i | −0.364635 | + | 0.0454774i | ||||
\(939\) | −12.0140 | − | 16.0401i | −0.392061 | − | 0.523448i | ||||
\(940\) | 3.94517 | − | 6.83323i | 0.128677 | − | 0.222875i | ||||
\(941\) | 10.0921 | 0.328991 | 0.164496 | − | 0.986378i | \(-0.447400\pi\) | ||||
0.164496 | + | 0.986378i | \(0.447400\pi\) | |||||||
\(942\) | −11.0400 | + | 8.26894i | −0.359703 | + | 0.269417i | ||||
\(943\) | − | 3.25676i | − | 0.106055i | ||||||
\(944\) | 11.0296 | 0.358983 | ||||||||
\(945\) | 0.820218 | − | 19.6401i | 0.0266817 | − | 0.638892i | ||||
\(946\) | 19.8932 | 0.646783 | ||||||||
\(947\) | 58.2693i | 1.89350i | 0.321973 | + | 0.946749i | \(0.395654\pi\) | ||||
−0.321973 | + | 0.946749i | \(0.604346\pi\) | |||||||
\(948\) | −20.1874 | + | 15.1203i | −0.655657 | + | 0.491085i | ||||
\(949\) | 1.47124 | 0.0477584 | ||||||||
\(950\) | 3.20241 | − | 5.54674i | 0.103900 | − | 0.179960i | ||||
\(951\) | 17.8183 | + | 23.7896i | 0.577799 | + | 0.771430i | ||||
\(952\) | −2.35055 | + | 5.56705i | −0.0761819 | + | 0.180429i | ||||
\(953\) | 46.9356i | 1.52039i | 0.649694 | + | 0.760196i | \(0.274897\pi\) | ||||
−0.649694 | + | 0.760196i | \(0.725103\pi\) | |||||||
\(954\) | 20.4813 | + | 21.4578i | 0.663107 | + | 0.694721i | ||||
\(955\) | −9.12541 | − | 5.26856i | −0.295291 | − | 0.170487i | ||||
\(956\) | 23.6325 | − | 13.6442i | 0.764330 | − | 0.441286i | ||||
\(957\) | −1.63599 | + | 1.22535i | −0.0528839 | + | 0.0396099i | ||||
\(958\) | 24.0776 | − | 13.9012i | 0.777912 | − | 0.449128i | ||||
\(959\) | 15.4148 | + | 20.3751i | 0.497768 | + | 0.657947i | ||||
\(960\) | 0.294657 | + | 2.45898i | 0.00951002 | + | 0.0793633i | ||||
\(961\) | 12.1446 | 0.391761 | ||||||||
\(962\) | 6.83054 | − | 11.8308i | 0.220225 | − | 0.381441i | ||||
\(963\) | 11.2143 | + | 46.1209i | 0.361374 | + | 1.48623i | ||||
\(964\) | 21.9018 | − | 12.6450i | 0.705410 | − | 0.407269i | ||||
\(965\) | −2.02008 | + | 3.49889i | −0.0650288 | + | 0.112633i | ||||
\(966\) | 35.8212 | − | 8.89296i | 1.15253 | − | 0.286126i | ||||
\(967\) | 6.43145 | + | 11.1396i | 0.206822 | + | 0.358226i | 0.950712 | − | 0.310077i | \(-0.100355\pi\) |
−0.743890 | + | 0.668302i | \(0.767021\pi\) | |||||||
\(968\) | −0.599818 | − | 0.346305i | −0.0192789 | − | 0.0111307i | ||||
\(969\) | −5.13939 | − | 6.86169i | −0.165101 | − | 0.220429i | ||||
\(970\) | −7.58425 | − | 13.1363i | −0.243516 | − | 0.421782i | ||||
\(971\) | 17.3742 | + | 30.0930i | 0.557565 | + | 0.965731i | 0.997699 | + | 0.0677990i | \(0.0215977\pi\) |
−0.440134 | + | 0.897932i | \(0.645069\pi\) | |||||||
\(972\) | 15.5473 | − | 1.13232i | 0.498679 | − | 0.0363193i | ||||
\(973\) | 29.6169 | + | 39.1474i | 0.949474 | + | 1.25501i | ||||
\(974\) | 6.47506 | + | 3.73838i | 0.207474 | + | 0.119785i | ||||
\(975\) | −32.2102 | + | 3.85972i | −1.03155 | + | 0.123610i | ||||
\(976\) | 11.4797i | 0.367458i | ||||||||
\(977\) | 20.3667i | 0.651590i | 0.945441 | + | 0.325795i | \(0.105632\pi\) | ||||
−0.945441 | + | 0.325795i | \(0.894368\pi\) | |||||||
\(978\) | −7.75790 | + | 18.1295i | −0.248070 | + | 0.579716i | ||||
\(979\) | −12.0215 | − | 6.94060i | −0.384208 | − | 0.221822i | ||||
\(980\) | 2.72213 | − | 9.63167i | 0.0869553 | − | 0.307673i | ||||
\(981\) | −21.1559 | − | 22.1645i | −0.675456 | − | 0.707659i | ||||
\(982\) | 11.0543 | + | 19.1466i | 0.352756 | + | 0.610992i | ||||
\(983\) | −14.6682 | − | 25.4061i | −0.467843 | − | 0.810328i | 0.531482 | − | 0.847070i | \(-0.321635\pi\) |
−0.999325 | + | 0.0367416i | \(0.988302\pi\) | |||||||
\(984\) | 0.275534 | − | 0.643896i | 0.00878369 | − | 0.0205266i | ||||
\(985\) | 32.3048 | + | 18.6512i | 1.02932 | + | 0.594276i | ||||
\(986\) | 0.394124 | + | 0.682643i | 0.0125515 | + | 0.0217398i | ||||
\(987\) | −17.5482 | − | 18.2083i | −0.558566 | − | 0.579578i | ||||
\(988\) | −6.86651 | + | 11.8931i | −0.218453 | + | 0.378371i | ||||
\(989\) | −40.5786 | + | 23.4280i | −1.29032 | + | 0.744968i | ||||
\(990\) | 4.12509 | − | 14.0759i | 0.131104 | − | 0.447361i | ||||
\(991\) | −14.8114 | + | 25.6540i | −0.470498 | + | 0.814927i | −0.999431 | − | 0.0337371i | \(-0.989259\pi\) |
0.528933 | + | 0.848664i | \(0.322592\pi\) | |||||||
\(992\) | 4.34228 | 0.137868 | ||||||||
\(993\) | −36.7276 | + | 27.5089i | −1.16551 | + | 0.872967i | ||||
\(994\) | 1.16371 | + | 9.33052i | 0.0369105 | + | 0.295946i | ||||
\(995\) | 19.0901 | − | 11.0217i | 0.605196 | − | 0.349410i | ||||
\(996\) | 0.334512 | + | 2.79158i | 0.0105994 | + | 0.0884545i | ||||
\(997\) | 23.4011 | − | 13.5106i | 0.741120 | − | 0.427886i | −0.0813562 | − | 0.996685i | \(-0.525925\pi\) |
0.822477 | + | 0.568799i | \(0.192592\pi\) | |||||||
\(998\) | −28.4959 | − | 16.4521i | −0.902022 | − | 0.520783i | ||||
\(999\) | 7.12508 | − | 8.64320i | 0.225427 | − | 0.273459i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))