Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(267,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("560.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.bl (of order \(4\), 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: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(72\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 323.42 | ||
Character | \(\chi\) | \(=\) | 560.323 |
Dual form | 560.2.bl.a.267.42 |
$q$-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 \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.259757 | + | 1.39015i | 0.183676 | + | 0.982987i | ||||
\(3\) | 2.75657 | 1.59151 | 0.795754 | − | 0.605620i | \(-0.207075\pi\) | ||||
0.795754 | + | 0.605620i | \(0.207075\pi\) | |||||||
\(4\) | −1.86505 | + | 0.722204i | −0.932526 | + | 0.361102i | ||||
\(5\) | 1.07707 | + | 1.95957i | 0.481680 | + | 0.876347i | ||||
\(6\) | 0.716039 | + | 3.83206i | 0.292322 | + | 1.56443i | ||||
\(7\) | −0.707107 | + | 0.707107i | −0.267261 | + | 0.267261i | ||||
\(8\) | −1.48843 | − | 2.40511i | −0.526241 | − | 0.850335i | ||||
\(9\) | 4.59869 | 1.53290 | ||||||||
\(10\) | −2.44433 | + | 2.00630i | −0.772965 | + | 0.634449i | ||||
\(11\) | 2.48496 | + | 2.48496i | 0.749245 | + | 0.749245i | 0.974337 | − | 0.225092i | \(-0.0722684\pi\) |
−0.225092 | + | 0.974337i | \(0.572268\pi\) | |||||||
\(12\) | −5.14115 | + | 1.99081i | −1.48412 | + | 0.574697i | ||||
\(13\) | − | 4.84084i | − | 1.34261i | −0.741182 | − | 0.671304i | \(-0.765735\pi\) | ||
0.741182 | − | 0.671304i | \(-0.234265\pi\) | |||||||
\(14\) | −1.16666 | − | 0.799311i | −0.311804 | − | 0.213625i | ||||
\(15\) | 2.96902 | + | 5.40170i | 0.766598 | + | 1.39471i | ||||
\(16\) | 2.95684 | − | 2.69390i | 0.739211 | − | 0.673474i | ||||
\(17\) | −1.63587 | + | 1.63587i | −0.396756 | + | 0.396756i | −0.877087 | − | 0.480331i | \(-0.840516\pi\) |
0.480331 | + | 0.877087i | \(0.340516\pi\) | |||||||
\(18\) | 1.19454 | + | 6.39289i | 0.281556 | + | 1.50682i | ||||
\(19\) | 1.02421 | + | 1.02421i | 0.234970 | + | 0.234970i | 0.814764 | − | 0.579793i | \(-0.196867\pi\) |
−0.579793 | + | 0.814764i | \(0.696867\pi\) | |||||||
\(20\) | −3.42400 | − | 2.87684i | −0.765630 | − | 0.643281i | ||||
\(21\) | −1.94919 | + | 1.94919i | −0.425348 | + | 0.425348i | ||||
\(22\) | −2.80899 | + | 4.09997i | −0.598880 | + | 0.874116i | ||||
\(23\) | −4.88728 | − | 4.88728i | −1.01907 | − | 1.01907i | −0.999815 | − | 0.0192526i | \(-0.993871\pi\) |
−0.0192526 | − | 0.999815i | \(-0.506129\pi\) | |||||||
\(24\) | −4.10298 | − | 6.62987i | −0.837517 | − | 1.35332i | ||||
\(25\) | −2.67984 | + | 4.22119i | −0.535969 | + | 0.844238i | ||||
\(26\) | 6.72951 | − | 1.25744i | 1.31977 | − | 0.246605i | ||||
\(27\) | 4.40691 | 0.848111 | ||||||||
\(28\) | 0.808116 | − | 1.82947i | 0.152720 | − | 0.345737i | ||||
\(29\) | −2.08627 | + | 2.08627i | −0.387411 | + | 0.387411i | −0.873763 | − | 0.486352i | \(-0.838327\pi\) |
0.486352 | + | 0.873763i | \(0.338327\pi\) | |||||||
\(30\) | −6.73797 | + | 5.53052i | −1.23018 | + | 1.00973i | ||||
\(31\) | − | 5.11030i | − | 0.917837i | −0.888478 | − | 0.458918i | \(-0.848237\pi\) | ||
0.888478 | − | 0.458918i | \(-0.151763\pi\) | |||||||
\(32\) | 4.51299 | + | 3.41071i | 0.797792 | + | 0.602933i | ||||
\(33\) | 6.84999 | + | 6.84999i | 1.19243 | + | 1.19243i | ||||
\(34\) | −2.69903 | − | 1.84918i | −0.462881 | − | 0.317131i | ||||
\(35\) | −2.14723 | − | 0.624023i | −0.362948 | − | 0.105479i | ||||
\(36\) | −8.57681 | + | 3.32120i | −1.42947 | + | 0.553533i | ||||
\(37\) | − | 8.59247i | − | 1.41259i | −0.707916 | − | 0.706296i | \(-0.750365\pi\) | ||
0.707916 | − | 0.706296i | \(-0.249635\pi\) | |||||||
\(38\) | −1.15777 | + | 1.68986i | −0.187814 | + | 0.274131i | ||||
\(39\) | − | 13.3441i | − | 2.13677i | ||||||
\(40\) | 3.10984 | − | 5.50717i | 0.491709 | − | 0.870760i | ||||
\(41\) | 6.94716i | 1.08496i | 0.840067 | + | 0.542482i | \(0.182515\pi\) | ||||
−0.840067 | + | 0.542482i | \(0.817485\pi\) | |||||||
\(42\) | −3.21599 | − | 2.20336i | −0.496238 | − | 0.339986i | ||||
\(43\) | 2.49682i | 0.380761i | 0.981710 | + | 0.190380i | \(0.0609722\pi\) | ||||
−0.981710 | + | 0.190380i | \(0.939028\pi\) | |||||||
\(44\) | −6.42924 | − | 2.83994i | −0.969245 | − | 0.428137i | ||||
\(45\) | 4.95311 | + | 9.01147i | 0.738366 | + | 1.34335i | ||||
\(46\) | 5.52456 | − | 8.06357i | 0.814552 | − | 1.18891i | ||||
\(47\) | 7.21178 | + | 7.21178i | 1.05195 | + | 1.05195i | 0.998575 | + | 0.0533712i | \(0.0169966\pi\) |
0.0533712 | + | 0.998575i | \(0.483003\pi\) | |||||||
\(48\) | 8.15075 | − | 7.42592i | 1.17646 | − | 1.07184i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | −6.56421 | − | 2.62891i | −0.928319 | − | 0.371784i | ||||
\(51\) | −4.50939 | + | 4.50939i | −0.631441 | + | 0.631441i | ||||
\(52\) | 3.49607 | + | 9.02842i | 0.484818 | + | 1.25202i | ||||
\(53\) | 5.61513 | 0.771297 | 0.385649 | − | 0.922646i | \(-0.373978\pi\) | ||||
0.385649 | + | 0.922646i | \(0.373978\pi\) | |||||||
\(54\) | 1.14473 | + | 6.12629i | 0.155778 | + | 0.833682i | ||||
\(55\) | −2.19299 | + | 7.54595i | −0.295702 | + | 1.01750i | ||||
\(56\) | 2.75315 | + | 0.648188i | 0.367906 | + | 0.0866178i | ||||
\(57\) | 2.82331 | + | 2.82331i | 0.373957 | + | 0.373957i | ||||
\(58\) | −3.44216 | − | 2.35831i | −0.451978 | − | 0.309662i | ||||
\(59\) | 8.09154 | − | 8.09154i | 1.05343 | − | 1.05343i | 0.0549384 | − | 0.998490i | \(-0.482504\pi\) |
0.998490 | − | 0.0549384i | \(-0.0174962\pi\) | |||||||
\(60\) | −9.43851 | − | 7.93022i | −1.21851 | − | 1.02379i | ||||
\(61\) | −4.06506 | − | 4.06506i | −0.520477 | − | 0.520477i | 0.397238 | − | 0.917716i | \(-0.369969\pi\) |
−0.917716 | + | 0.397238i | \(0.869969\pi\) | |||||||
\(62\) | 7.10410 | − | 1.32744i | 0.902222 | − | 0.168585i | ||||
\(63\) | −3.25177 | + | 3.25177i | −0.409684 | + | 0.409684i | ||||
\(64\) | −3.56912 | + | 7.15970i | −0.446140 | + | 0.894963i | ||||
\(65\) | 9.48597 | − | 5.21392i | 1.17659 | − | 0.646707i | ||||
\(66\) | −7.74320 | + | 11.3019i | −0.953122 | + | 1.39116i | ||||
\(67\) | − | 10.8820i | − | 1.32945i | −0.747090 | − | 0.664723i | \(-0.768549\pi\) | ||
0.747090 | − | 0.664723i | \(-0.231451\pi\) | |||||||
\(68\) | 1.86955 | − | 4.23241i | 0.226716 | − | 0.513255i | ||||
\(69\) | −13.4721 | − | 13.4721i | −1.62185 | − | 1.62185i | ||||
\(70\) | 0.309730 | − | 3.14707i | 0.0370198 | − | 0.376147i | ||||
\(71\) | −12.1998 | −1.44785 | −0.723927 | − | 0.689876i | \(-0.757665\pi\) | ||||
−0.723927 | + | 0.689876i | \(0.757665\pi\) | |||||||
\(72\) | −6.84486 | − | 11.0604i | −0.806674 | − | 1.30348i | ||||
\(73\) | 5.45819 | − | 5.45819i | 0.638833 | − | 0.638833i | −0.311435 | − | 0.950268i | \(-0.600809\pi\) |
0.950268 | + | 0.311435i | \(0.100809\pi\) | |||||||
\(74\) | 11.9448 | − | 2.23195i | 1.38856 | − | 0.259459i | ||||
\(75\) | −7.38718 | + | 11.6360i | −0.852998 | + | 1.34361i | ||||
\(76\) | −2.64990 | − | 1.17052i | −0.303964 | − | 0.134268i | ||||
\(77\) | −3.51427 | −0.400488 | ||||||||
\(78\) | 18.5504 | − | 3.46623i | 2.10042 | − | 0.392473i | ||||
\(79\) | 11.5728 | 1.30204 | 0.651022 | − | 0.759059i | \(-0.274341\pi\) | ||||
0.651022 | + | 0.759059i | \(0.274341\pi\) | |||||||
\(80\) | 8.46361 | + | 2.89263i | 0.946260 | + | 0.323406i | ||||
\(81\) | −1.64810 | −0.183122 | ||||||||
\(82\) | −9.65762 | + | 1.80457i | −1.06651 | + | 0.199282i | ||||
\(83\) | 2.86002 | 0.313928 | 0.156964 | − | 0.987604i | \(-0.449829\pi\) | ||||
0.156964 | + | 0.987604i | \(0.449829\pi\) | |||||||
\(84\) | 2.22763 | − | 5.04306i | 0.243054 | − | 0.550243i | ||||
\(85\) | −4.96754 | − | 1.44366i | −0.538806 | − | 0.156587i | ||||
\(86\) | −3.47096 | + | 0.648566i | −0.374283 | + | 0.0699366i | ||||
\(87\) | −5.75096 | + | 5.75096i | −0.616568 | + | 0.616568i | ||||
\(88\) | 2.27791 | − | 9.67532i | 0.242826 | − | 1.03139i | ||||
\(89\) | −6.32940 | −0.670915 | −0.335458 | − | 0.942055i | \(-0.608891\pi\) | ||||
−0.335458 | + | 0.942055i | \(0.608891\pi\) | |||||||
\(90\) | −11.2407 | + | 9.22638i | −1.18488 | + | 0.972546i | ||||
\(91\) | 3.42299 | + | 3.42299i | 0.358827 | + | 0.358827i | ||||
\(92\) | 12.6446 | + | 5.58542i | 1.31829 | + | 0.582320i | ||||
\(93\) | − | 14.0869i | − | 1.46074i | ||||||
\(94\) | −8.15217 | + | 11.8988i | −0.840832 | + | 1.22727i | ||||
\(95\) | −0.903869 | + | 3.11016i | −0.0927350 | + | 0.319096i | ||||
\(96\) | 12.4404 | + | 9.40186i | 1.26969 | + | 0.959573i | ||||
\(97\) | −6.62293 | + | 6.62293i | −0.672457 | + | 0.672457i | −0.958282 | − | 0.285825i | \(-0.907732\pi\) |
0.285825 | + | 0.958282i | \(0.407732\pi\) | |||||||
\(98\) | 1.39015 | − | 0.259757i | 0.140427 | − | 0.0262394i | ||||
\(99\) | 11.4276 | + | 11.4276i | 1.14852 | + | 1.14852i | ||||
\(100\) | 1.94949 | − | 9.80813i | 0.194949 | − | 0.980813i | ||||
\(101\) | −5.48001 | + | 5.48001i | −0.545282 | + | 0.545282i | −0.925072 | − | 0.379791i | \(-0.875996\pi\) |
0.379791 | + | 0.925072i | \(0.375996\pi\) | |||||||
\(102\) | −7.44008 | − | 5.09740i | −0.736678 | − | 0.504717i | ||||
\(103\) | −3.71500 | − | 3.71500i | −0.366050 | − | 0.366050i | 0.499984 | − | 0.866034i | \(-0.333339\pi\) |
−0.866034 | + | 0.499984i | \(0.833339\pi\) | |||||||
\(104\) | −11.6428 | + | 7.20527i | −1.14167 | + | 0.706535i | ||||
\(105\) | −5.91899 | − | 1.72017i | −0.577635 | − | 0.167871i | ||||
\(106\) | 1.45857 | + | 7.80589i | 0.141669 | + | 0.758175i | ||||
\(107\) | −0.755462 | −0.0730333 | −0.0365167 | − | 0.999333i | \(-0.511626\pi\) | ||||
−0.0365167 | + | 0.999333i | \(0.511626\pi\) | |||||||
\(108\) | −8.21913 | + | 3.18269i | −0.790886 | + | 0.306255i | ||||
\(109\) | −4.12169 | + | 4.12169i | −0.394786 | + | 0.394786i | −0.876389 | − | 0.481603i | \(-0.840055\pi\) |
0.481603 | + | 0.876389i | \(0.340055\pi\) | |||||||
\(110\) | −11.0597 | − | 1.08848i | −1.05450 | − | 0.103782i | ||||
\(111\) | − | 23.6858i | − | 2.24815i | ||||||
\(112\) | −0.185930 | + | 3.99568i | −0.0175688 | + | 0.377556i | ||||
\(113\) | −3.68326 | − | 3.68326i | −0.346492 | − | 0.346492i | 0.512309 | − | 0.858801i | \(-0.328790\pi\) |
−0.858801 | + | 0.512309i | \(0.828790\pi\) | |||||||
\(114\) | −3.19146 | + | 4.65822i | −0.298908 | + | 0.436282i | ||||
\(115\) | 4.31303 | − | 14.8409i | 0.402192 | − | 1.38392i | ||||
\(116\) | 2.38429 | − | 5.39772i | 0.221376 | − | 0.501166i | ||||
\(117\) | − | 22.2615i | − | 2.05808i | ||||||
\(118\) | 13.3503 | + | 9.14664i | 1.22900 | + | 0.842017i | ||||
\(119\) | − | 2.31347i | − | 0.212075i | ||||||
\(120\) | 8.57250 | − | 15.1809i | 0.782559 | − | 1.38582i | ||||
\(121\) | 1.35010i | 0.122736i | ||||||||
\(122\) | 4.59513 | − | 6.70698i | 0.416023 | − | 0.607221i | ||||
\(123\) | 19.1504i | 1.72673i | ||||||||
\(124\) | 3.69068 | + | 9.53098i | 0.331433 | + | 0.855907i | ||||
\(125\) | −11.1581 | − | 0.704829i | −0.998011 | − | 0.0630418i | ||||
\(126\) | −5.36512 | − | 3.67579i | −0.477963 | − | 0.327465i | ||||
\(127\) | 13.2450 | + | 13.2450i | 1.17531 | + | 1.17531i | 0.980926 | + | 0.194379i | \(0.0622693\pi\) |
0.194379 | + | 0.980926i | \(0.437731\pi\) | |||||||
\(128\) | −10.8802 | − | 3.10185i | −0.961682 | − | 0.274167i | ||||
\(129\) | 6.88266i | 0.605984i | ||||||||
\(130\) | 9.71220 | + | 11.8326i | 0.851816 | + | 1.03779i | ||||
\(131\) | 10.6722 | − | 10.6722i | 0.932430 | − | 0.932430i | −0.0654271 | − | 0.997857i | \(-0.520841\pi\) |
0.997857 | + | 0.0654271i | \(0.0208410\pi\) | |||||||
\(132\) | −17.7227 | − | 7.82850i | −1.54256 | − | 0.681383i | ||||
\(133\) | −1.44845 | −0.125597 | ||||||||
\(134\) | 15.1276 | − | 2.82667i | 1.30683 | − | 0.244187i | ||||
\(135\) | 4.74655 | + | 8.63567i | 0.408518 | + | 0.743240i | ||||
\(136\) | 6.36933 | + | 1.49956i | 0.546165 | + | 0.128586i | ||||
\(137\) | −9.93546 | − | 9.93546i | −0.848843 | − | 0.848843i | 0.141145 | − | 0.989989i | \(-0.454921\pi\) |
−0.989989 | + | 0.141145i | \(0.954921\pi\) | |||||||
\(138\) | 15.2288 | − | 22.2278i | 1.29637 | − | 1.89216i | ||||
\(139\) | 3.69691 | − | 3.69691i | 0.313568 | − | 0.313568i | −0.532722 | − | 0.846290i | \(-0.678831\pi\) |
0.846290 | + | 0.532722i | \(0.178831\pi\) | |||||||
\(140\) | 4.45537 | − | 0.386902i | 0.376547 | − | 0.0326992i | ||||
\(141\) | 19.8798 | + | 19.8798i | 1.67418 | + | 1.67418i | ||||
\(142\) | −3.16899 | − | 16.9596i | −0.265936 | − | 1.42322i | ||||
\(143\) | 12.0293 | − | 12.0293i | 1.00594 | − | 1.00594i | ||||
\(144\) | 13.5976 | − | 12.3884i | 1.13313 | − | 1.03237i | ||||
\(145\) | −6.33526 | − | 1.84114i | −0.526115 | − | 0.152898i | ||||
\(146\) | 9.00553 | + | 6.16992i | 0.745303 | + | 0.510626i | ||||
\(147\) | − | 2.75657i | − | 0.227358i | ||||||
\(148\) | 6.20551 | + | 16.0254i | 0.510090 | + | 1.31728i | ||||
\(149\) | 13.4801 | + | 13.4801i | 1.10434 | + | 1.10434i | 0.993881 | + | 0.110455i | \(0.0352307\pi\) |
0.110455 | + | 0.993881i | \(0.464769\pi\) | |||||||
\(150\) | −18.0947 | − | 7.24678i | −1.47743 | − | 0.591697i | ||||
\(151\) | 1.50233 | 0.122258 | 0.0611289 | − | 0.998130i | \(-0.480530\pi\) | ||||
0.0611289 | + | 0.998130i | \(0.480530\pi\) | |||||||
\(152\) | 0.938871 | − | 3.98782i | 0.0761525 | − | 0.323455i | ||||
\(153\) | −7.52285 | + | 7.52285i | −0.608187 | + | 0.608187i | ||||
\(154\) | −0.912856 | − | 4.88537i | −0.0735601 | − | 0.393675i | ||||
\(155\) | 10.0140 | − | 5.50415i | 0.804344 | − | 0.442104i | ||||
\(156\) | 9.63718 | + | 24.8875i | 0.771592 | + | 1.99259i | ||||
\(157\) | −19.5243 | −1.55821 | −0.779104 | − | 0.626895i | \(-0.784326\pi\) | ||||
−0.779104 | + | 0.626895i | \(0.784326\pi\) | |||||||
\(158\) | 3.00612 | + | 16.0880i | 0.239154 | + | 1.27989i | ||||
\(159\) | 15.4785 | 1.22753 | ||||||||
\(160\) | −1.82272 | + | 12.5171i | −0.144099 | + | 0.989563i | ||||
\(161\) | 6.91165 | 0.544714 | ||||||||
\(162\) | −0.428105 | − | 2.29111i | −0.0336351 | − | 0.180007i | ||||
\(163\) | 2.85332 | 0.223489 | 0.111745 | − | 0.993737i | \(-0.464356\pi\) | ||||
0.111745 | + | 0.993737i | \(0.464356\pi\) | |||||||
\(164\) | −5.01727 | − | 12.9568i | −0.391783 | − | 1.01176i | ||||
\(165\) | −6.04513 | + | 20.8009i | −0.470613 | + | 1.61935i | ||||
\(166\) | 0.742909 | + | 3.97586i | 0.0576609 | + | 0.308587i | ||||
\(167\) | 9.35953 | − | 9.35953i | 0.724262 | − | 0.724262i | −0.245208 | − | 0.969470i | \(-0.578856\pi\) |
0.969470 | + | 0.245208i | \(0.0788563\pi\) | |||||||
\(168\) | 7.58927 | + | 1.78678i | 0.585525 | + | 0.137853i | ||||
\(169\) | −10.4337 | −0.802594 | ||||||||
\(170\) | 0.716550 | − | 7.28065i | 0.0549569 | − | 0.558400i | ||||
\(171\) | 4.71004 | + | 4.71004i | 0.360186 | + | 0.360186i | ||||
\(172\) | −1.80321 | − | 4.65669i | −0.137494 | − | 0.355070i | ||||
\(173\) | 0.635940i | 0.0483496i | 0.999708 | + | 0.0241748i | \(0.00769583\pi\) | ||||
−0.999708 | + | 0.0241748i | \(0.992304\pi\) | |||||||
\(174\) | −9.48857 | − | 6.50086i | −0.719327 | − | 0.492829i | ||||
\(175\) | −1.08990 | − | 4.87977i | −0.0823885 | − | 0.368876i | ||||
\(176\) | 14.0419 | + | 0.653410i | 1.05845 | + | 0.0492526i | ||||
\(177\) | 22.3049 | − | 22.3049i | 1.67654 | − | 1.67654i | ||||
\(178\) | −1.64411 | − | 8.79884i | −0.123231 | − | 0.659501i | ||||
\(179\) | 17.8546 | + | 17.8546i | 1.33451 | + | 1.33451i | 0.901283 | + | 0.433231i | \(0.142626\pi\) |
0.433231 | + | 0.901283i | \(0.357374\pi\) | |||||||
\(180\) | −15.7459 | − | 13.2297i | −1.17363 | − | 0.986084i | ||||
\(181\) | −15.3924 | + | 15.3924i | −1.14411 | + | 1.14411i | −0.156420 | + | 0.987691i | \(0.549995\pi\) |
−0.987691 | + | 0.156420i | \(0.950005\pi\) | |||||||
\(182\) | −3.86934 | + | 5.64763i | −0.286814 | + | 0.418630i | ||||
\(183\) | −11.2056 | − | 11.2056i | −0.828344 | − | 0.828344i | ||||
\(184\) | −4.48005 | + | 19.0288i | −0.330274 | + | 1.40282i | ||||
\(185\) | 16.8376 | − | 9.25468i | 1.23792 | − | 0.680418i | ||||
\(186\) | 19.5830 | − | 3.65917i | 1.43589 | − | 0.268304i | ||||
\(187\) | −8.13014 | −0.594535 | ||||||||
\(188\) | −18.6587 | − | 8.24197i | −1.36083 | − | 0.601107i | ||||
\(189\) | −3.11616 | + | 3.11616i | −0.226667 | + | 0.226667i | ||||
\(190\) | −4.55839 | − | 0.448630i | −0.330700 | − | 0.0325470i | ||||
\(191\) | − | 14.8696i | − | 1.07593i | −0.842968 | − | 0.537964i | \(-0.819194\pi\) | ||
0.842968 | − | 0.537964i | \(-0.180806\pi\) | |||||||
\(192\) | −9.83855 | + | 19.7362i | −0.710036 | + | 1.42434i | ||||
\(193\) | −2.14146 | − | 2.14146i | −0.154146 | − | 0.154146i | 0.625821 | − | 0.779967i | \(-0.284764\pi\) |
−0.779967 | + | 0.625821i | \(0.784764\pi\) | |||||||
\(194\) | −10.9272 | − | 7.48653i | −0.784530 | − | 0.537502i | ||||
\(195\) | 26.1488 | − | 14.3726i | 1.87255 | − | 1.02924i | ||||
\(196\) | 0.722204 | + | 1.86505i | 0.0515860 | + | 0.133218i | ||||
\(197\) | − | 7.18026i | − | 0.511572i | −0.966733 | − | 0.255786i | \(-0.917666\pi\) | ||
0.966733 | − | 0.255786i | \(-0.0823342\pi\) | |||||||
\(198\) | −12.9177 | + | 18.8545i | −0.918021 | + | 1.33993i | ||||
\(199\) | 11.2655i | 0.798593i | 0.916822 | + | 0.399297i | \(0.130746\pi\) | ||||
−0.916822 | + | 0.399297i | \(0.869254\pi\) | |||||||
\(200\) | 14.1412 | + | 0.162354i | 0.999934 | + | 0.0114802i | ||||
\(201\) | − | 29.9970i | − | 2.11582i | ||||||
\(202\) | −9.04153 | − | 6.19459i | −0.636160 | − | 0.435850i | ||||
\(203\) | − | 2.95043i | − | 0.207080i | ||||||
\(204\) | 5.15355 | − | 11.6669i | 0.360820 | − | 0.816849i | ||||
\(205\) | −13.6135 | + | 7.48257i | −0.950805 | + | 0.522606i | ||||
\(206\) | 4.19942 | − | 6.12942i | 0.292588 | − | 0.427057i | ||||
\(207\) | −22.4751 | − | 22.4751i | −1.56213 | − | 1.56213i | ||||
\(208\) | −13.0407 | − | 14.3136i | −0.904211 | − | 0.992469i | ||||
\(209\) | 5.09026i | 0.352101i | ||||||||
\(210\) | 0.853794 | − | 8.67514i | 0.0589174 | − | 0.598641i | ||||
\(211\) | −20.2604 | + | 20.2604i | −1.39479 | + | 1.39479i | −0.580592 | + | 0.814195i | \(0.697179\pi\) |
−0.814195 | + | 0.580592i | \(0.802821\pi\) | |||||||
\(212\) | −10.4725 | + | 4.05527i | −0.719255 | + | 0.278517i | ||||
\(213\) | −33.6297 | −2.30427 | ||||||||
\(214\) | −0.196237 | − | 1.05021i | −0.0134145 | − | 0.0717908i | ||||
\(215\) | −4.89269 | + | 2.68924i | −0.333679 | + | 0.183405i | ||||
\(216\) | −6.55941 | − | 10.5991i | −0.446311 | − | 0.721179i | ||||
\(217\) | 3.61353 | + | 3.61353i | 0.245302 | + | 0.245302i | ||||
\(218\) | −6.80042 | − | 4.65915i | −0.460583 | − | 0.315557i | ||||
\(219\) | 15.0459 | − | 15.0459i | 1.01671 | − | 1.01671i | ||||
\(220\) | −1.35968 | − | 15.6574i | −0.0916694 | − | 1.05562i | ||||
\(221\) | 7.91897 | + | 7.91897i | 0.532688 | + | 0.532688i | ||||
\(222\) | 32.9268 | − | 6.15254i | 2.20990 | − | 0.412932i | ||||
\(223\) | −7.56278 | + | 7.56278i | −0.506441 | + | 0.506441i | −0.913432 | − | 0.406991i | \(-0.866578\pi\) |
0.406991 | + | 0.913432i | \(0.366578\pi\) | |||||||
\(224\) | −5.60290 | + | 0.779433i | −0.374359 | + | 0.0520781i | ||||
\(225\) | −12.3238 | + | 19.4120i | −0.821585 | + | 1.29413i | ||||
\(226\) | 4.16354 | − | 6.07705i | 0.276955 | − | 0.404239i | ||||
\(227\) | 24.2843i | 1.61180i | 0.592049 | + | 0.805902i | \(0.298319\pi\) | ||||
−0.592049 | + | 0.805902i | \(0.701681\pi\) | |||||||
\(228\) | −7.30464 | − | 3.22662i | −0.483762 | − | 0.213688i | ||||
\(229\) | −13.9087 | − | 13.9087i | −0.919113 | − | 0.919113i | 0.0778522 | − | 0.996965i | \(-0.475194\pi\) |
−0.996965 | + | 0.0778522i | \(0.975194\pi\) | |||||||
\(230\) | 21.7515 | + | 2.14075i | 1.43425 | + | 0.141157i | ||||
\(231\) | −9.68734 | −0.637380 | ||||||||
\(232\) | 8.12300 | + | 1.91244i | 0.533301 | + | 0.125558i | ||||
\(233\) | 10.3692 | − | 10.3692i | 0.679310 | − | 0.679310i | −0.280534 | − | 0.959844i | \(-0.590512\pi\) |
0.959844 | + | 0.280534i | \(0.0905115\pi\) | |||||||
\(234\) | 30.9469 | − | 5.78259i | 2.02307 | − | 0.378020i | ||||
\(235\) | −6.36441 | + | 21.8996i | −0.415168 | + | 1.42857i | ||||
\(236\) | −9.24740 | + | 20.9349i | −0.601954 | + | 1.36274i | ||||
\(237\) | 31.9013 | 2.07221 | ||||||||
\(238\) | 3.21607 | − | 0.600939i | 0.208467 | − | 0.0389531i | ||||
\(239\) | −3.66770 | −0.237244 | −0.118622 | − | 0.992940i | \(-0.537848\pi\) | ||||
−0.118622 | + | 0.992940i | \(0.537848\pi\) | |||||||
\(240\) | 23.3306 | + | 7.97375i | 1.50598 | + | 0.514703i | ||||
\(241\) | −12.3924 | −0.798262 | −0.399131 | − | 0.916894i | \(-0.630688\pi\) | ||||
−0.399131 | + | 0.916894i | \(0.630688\pi\) | |||||||
\(242\) | −1.87684 | + | 0.350697i | −0.120648 | + | 0.0225437i | ||||
\(243\) | −17.7638 | −1.13955 | ||||||||
\(244\) | 10.5173 | + | 4.64574i | 0.673304 | + | 0.297413i | ||||
\(245\) | 1.95957 | − | 1.07707i | 0.125192 | − | 0.0688114i | ||||
\(246\) | −26.6219 | + | 4.97444i | −1.69735 | + | 0.317159i | ||||
\(247\) | 4.95805 | − | 4.95805i | 0.315473 | − | 0.315473i | ||||
\(248\) | −12.2908 | + | 7.60635i | −0.780469 | + | 0.483004i | ||||
\(249\) | 7.88384 | 0.499618 | ||||||||
\(250\) | −1.91857 | − | 15.6946i | −0.121341 | − | 0.992611i | ||||
\(251\) | −12.2903 | − | 12.2903i | −0.775755 | − | 0.775755i | 0.203351 | − | 0.979106i | \(-0.434817\pi\) |
−0.979106 | + | 0.203351i | \(0.934817\pi\) | |||||||
\(252\) | 3.71628 | − | 8.41316i | 0.234103 | − | 0.529979i | ||||
\(253\) | − | 24.2894i | − | 1.52706i | ||||||
\(254\) | −14.9721 | + | 21.8531i | −0.939435 | + | 1.37119i | ||||
\(255\) | −13.6934 | − | 3.97954i | −0.857513 | − | 0.249209i | ||||
\(256\) | 1.48584 | − | 15.9309i | 0.0928647 | − | 0.995679i | ||||
\(257\) | 5.98659 | − | 5.98659i | 0.373433 | − | 0.373433i | −0.495293 | − | 0.868726i | \(-0.664939\pi\) |
0.868726 | + | 0.495293i | \(0.164939\pi\) | |||||||
\(258\) | −9.56795 | + | 1.78782i | −0.595674 | + | 0.111305i | ||||
\(259\) | 6.07579 | + | 6.07579i | 0.377531 | + | 0.377531i | ||||
\(260\) | −13.9263 | + | 16.5750i | −0.863674 | + | 1.02794i | ||||
\(261\) | −9.59413 | + | 9.59413i | −0.593861 | + | 0.593861i | ||||
\(262\) | 17.6081 | + | 12.0638i | 1.08783 | + | 0.745302i | ||||
\(263\) | 5.70192 | + | 5.70192i | 0.351595 | + | 0.351595i | 0.860703 | − | 0.509108i | \(-0.170024\pi\) |
−0.509108 | + | 0.860703i | \(0.670024\pi\) | |||||||
\(264\) | 6.27922 | − | 26.6707i | 0.386459 | − | 1.64147i | ||||
\(265\) | 6.04788 | + | 11.0032i | 0.371519 | + | 0.675924i | ||||
\(266\) | −0.376246 | − | 2.01357i | −0.0230691 | − | 0.123460i | ||||
\(267\) | −17.4475 | −1.06777 | ||||||||
\(268\) | 7.85902 | + | 20.2955i | 0.480066 | + | 1.23974i | ||||
\(269\) | −17.6264 | + | 17.6264i | −1.07470 | + | 1.07470i | −0.0777265 | + | 0.996975i | \(0.524766\pi\) |
−0.996975 | + | 0.0777265i | \(0.975234\pi\) | |||||||
\(270\) | −10.7719 | + | 8.84161i | −0.655560 | + | 0.538083i | ||||
\(271\) | 21.0928i | 1.28130i | 0.767834 | + | 0.640649i | \(0.221335\pi\) | ||||
−0.767834 | + | 0.640649i | \(0.778665\pi\) | |||||||
\(272\) | −0.430144 | + | 9.24386i | −0.0260813 | + | 0.560491i | ||||
\(273\) | 9.43572 | + | 9.43572i | 0.571076 | + | 0.571076i | ||||
\(274\) | 11.2310 | − | 16.3926i | 0.678490 | − | 0.990314i | ||||
\(275\) | −17.1488 | + | 3.83019i | −1.03411 | + | 0.230969i | ||||
\(276\) | 34.8559 | + | 15.3966i | 2.09808 | + | 0.926767i | ||||
\(277\) | 32.3123i | 1.94146i | 0.240181 | + | 0.970728i | \(0.422793\pi\) | ||||
−0.240181 | + | 0.970728i | \(0.577207\pi\) | |||||||
\(278\) | 6.09957 | + | 4.17897i | 0.365828 | + | 0.250638i | ||||
\(279\) | − | 23.5007i | − | 1.40695i | ||||||
\(280\) | 1.69517 | + | 6.09314i | 0.101306 | + | 0.364135i | ||||
\(281\) | − | 2.13535i | − | 0.127384i | −0.997970 | − | 0.0636920i | \(-0.979712\pi\) | ||
0.997970 | − | 0.0636920i | \(-0.0202875\pi\) | |||||||
\(282\) | −22.4720 | + | 32.7999i | −1.33819 | + | 1.95320i | ||||
\(283\) | − | 11.2031i | − | 0.665958i | −0.942934 | − | 0.332979i | \(-0.891946\pi\) | ||
0.942934 | − | 0.332979i | \(-0.108054\pi\) | |||||||
\(284\) | 22.7533 | − | 8.81077i | 1.35016 | − | 0.522823i | ||||
\(285\) | −2.49158 | + | 8.57339i | −0.147589 | + | 0.507844i | ||||
\(286\) | 19.8473 | + | 13.5979i | 1.17359 | + | 0.804060i | ||||
\(287\) | −4.91238 | − | 4.91238i | −0.289969 | − | 0.289969i | ||||
\(288\) | 20.7539 | + | 15.6848i | 1.22293 | + | 0.924235i | ||||
\(289\) | 11.6479i | 0.685169i | ||||||||
\(290\) | 0.913838 | − | 9.28523i | 0.0536624 | − | 0.545248i | ||||
\(291\) | −18.2566 | + | 18.2566i | −1.07022 | + | 1.07022i | ||||
\(292\) | −6.23789 | + | 14.1217i | −0.365045 | + | 0.826412i | ||||
\(293\) | −10.8022 | −0.631071 | −0.315535 | − | 0.948914i | \(-0.602184\pi\) | ||||
−0.315535 | + | 0.948914i | \(0.602184\pi\) | |||||||
\(294\) | 3.83206 | − | 0.716039i | 0.223490 | − | 0.0417602i | ||||
\(295\) | 24.5711 | + | 7.14080i | 1.43058 | + | 0.415753i | ||||
\(296\) | −20.6658 | + | 12.7893i | −1.20118 | + | 0.743365i | ||||
\(297\) | 10.9510 | + | 10.9510i | 0.635443 | + | 0.635443i | ||||
\(298\) | −15.2379 | + | 22.2410i | −0.882708 | + | 1.28839i | ||||
\(299\) | −23.6585 | + | 23.6585i | −1.36821 | + | 1.36821i | ||||
\(300\) | 5.37390 | − | 27.0368i | 0.310262 | − | 1.56097i | ||||
\(301\) | −1.76552 | − | 1.76552i | −0.101763 | − | 0.101763i | ||||
\(302\) | 0.390241 | + | 2.08847i | 0.0224558 | + | 0.120178i | ||||
\(303\) | −15.1061 | + | 15.1061i | −0.867820 | + | 0.867820i | ||||
\(304\) | 5.78756 | + | 0.269312i | 0.331939 | + | 0.0154461i | ||||
\(305\) | 3.58742 | − | 12.3441i | 0.205415 | − | 0.706822i | ||||
\(306\) | −12.4120 | − | 8.50380i | −0.709549 | − | 0.486130i | ||||
\(307\) | − | 12.3400i | − | 0.704279i | −0.935948 | − | 0.352140i | \(-0.885454\pi\) | ||
0.935948 | − | 0.352140i | \(-0.114546\pi\) | |||||||
\(308\) | 6.55430 | − | 2.53802i | 0.373466 | − | 0.144617i | ||||
\(309\) | −10.2407 | − | 10.2407i | −0.582571 | − | 0.582571i | ||||
\(310\) | 10.2528 | + | 12.4913i | 0.582321 | + | 0.709455i | ||||
\(311\) | 8.05926 | 0.456999 | 0.228499 | − | 0.973544i | \(-0.426618\pi\) | ||||
0.228499 | + | 0.973544i | \(0.426618\pi\) | |||||||
\(312\) | −32.0941 | + | 19.8619i | −1.81697 | + | 1.12446i | ||||
\(313\) | −5.79372 | + | 5.79372i | −0.327480 | + | 0.327480i | −0.851628 | − | 0.524147i | \(-0.824384\pi\) |
0.524147 | + | 0.851628i | \(0.324384\pi\) | |||||||
\(314\) | −5.07157 | − | 27.1418i | −0.286205 | − | 1.53170i | ||||
\(315\) | −9.87445 | − | 2.86969i | −0.556362 | − | 0.161689i | ||||
\(316\) | −21.5839 | + | 8.35794i | −1.21419 | + | 0.470171i | ||||
\(317\) | −22.9733 | −1.29031 | −0.645154 | − | 0.764052i | \(-0.723207\pi\) | ||||
−0.645154 | + | 0.764052i | \(0.723207\pi\) | |||||||
\(318\) | 4.02065 | + | 21.5175i | 0.225467 | + | 1.20664i | ||||
\(319\) | −10.3686 | −0.580531 | ||||||||
\(320\) | −17.8741 | + | 0.717546i | −0.999195 | + | 0.0401120i | ||||
\(321\) | −2.08249 | −0.116233 | ||||||||
\(322\) | 1.79535 | + | 9.60825i | 0.100051 | + | 0.535447i | ||||
\(323\) | −3.35095 | −0.186452 | ||||||||
\(324\) | 3.07379 | − | 1.19026i | 0.170766 | − | 0.0661258i | ||||
\(325\) | 20.4341 | + | 12.9727i | 1.13348 | + | 0.719595i | ||||
\(326\) | 0.741170 | + | 3.96655i | 0.0410496 | + | 0.219687i | ||||
\(327\) | −11.3617 | + | 11.3617i | −0.628306 | + | 0.628306i | ||||
\(328\) | 16.7087 | − | 10.3404i | 0.922583 | − | 0.570953i | ||||
\(329\) | −10.1990 | −0.562289 | ||||||||
\(330\) | −30.4868 | − | 3.00046i | −1.67824 | − | 0.165170i | ||||
\(331\) | 7.93068 | + | 7.93068i | 0.435909 | + | 0.435909i | 0.890633 | − | 0.454723i | \(-0.150262\pi\) |
−0.454723 | + | 0.890633i | \(0.650262\pi\) | |||||||
\(332\) | −5.33408 | + | 2.06552i | −0.292746 | + | 0.113360i | ||||
\(333\) | − | 39.5141i | − | 2.16536i | ||||||
\(334\) | 15.4424 | + | 10.5800i | 0.844970 | + | 0.578911i | ||||
\(335\) | 21.3240 | − | 11.7207i | 1.16506 | − | 0.640368i | ||||
\(336\) | −0.512531 | + | 11.0144i | −0.0279608 | + | 0.600883i | ||||
\(337\) | 2.92814 | − | 2.92814i | 0.159506 | − | 0.159506i | −0.622842 | − | 0.782348i | \(-0.714022\pi\) |
0.782348 | + | 0.622842i | \(0.214022\pi\) | |||||||
\(338\) | −2.71023 | − | 14.5045i | −0.147417 | − | 0.788939i | ||||
\(339\) | −10.1532 | − | 10.1532i | −0.551444 | − | 0.551444i | ||||
\(340\) | 10.3073 | − | 0.895084i | 0.558994 | − | 0.0485427i | ||||
\(341\) | 12.6989 | − | 12.6989i | 0.687685 | − | 0.687685i | ||||
\(342\) | −5.32421 | + | 7.77114i | −0.287900 | + | 0.420215i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 6.00512 | − | 3.71635i | 0.323774 | − | 0.200372i | ||||
\(345\) | 11.8892 | − | 40.9100i | 0.640092 | − | 2.20252i | ||||
\(346\) | −0.884054 | + | 0.165190i | −0.0475270 | + | 0.00888066i | ||||
\(347\) | 21.4335 | 1.15061 | 0.575305 | − | 0.817939i | \(-0.304883\pi\) | ||||
0.575305 | + | 0.817939i | \(0.304883\pi\) | |||||||
\(348\) | 6.57248 | − | 14.8792i | 0.352322 | − | 0.797609i | ||||
\(349\) | −21.0849 | + | 21.0849i | −1.12865 | + | 1.12865i | −0.138252 | + | 0.990397i | \(0.544148\pi\) |
−0.990397 | + | 0.138252i | \(0.955852\pi\) | |||||||
\(350\) | 6.50052 | − | 2.78268i | 0.347467 | − | 0.148740i | ||||
\(351\) | − | 21.3332i | − | 1.13868i | ||||||
\(352\) | 2.73914 | + | 19.6901i | 0.145997 | + | 1.04949i | ||||
\(353\) | 1.99903 | + | 1.99903i | 0.106398 | + | 0.106398i | 0.758302 | − | 0.651904i | \(-0.226029\pi\) |
−0.651904 | + | 0.758302i | \(0.726029\pi\) | |||||||
\(354\) | 36.8011 | + | 25.2134i | 1.95596 | + | 1.34008i | ||||
\(355\) | −13.1401 | − | 23.9065i | −0.697403 | − | 1.26882i | ||||
\(356\) | 11.8047 | − | 4.57112i | 0.625646 | − | 0.242269i | ||||
\(357\) | − | 6.37724i | − | 0.337519i | ||||||
\(358\) | −20.1827 | + | 29.4585i | −1.06669 | + | 1.55693i | ||||
\(359\) | − | 27.1270i | − | 1.43171i | −0.698251 | − | 0.715853i | \(-0.746038\pi\) | ||
0.698251 | − | 0.715853i | \(-0.253962\pi\) | |||||||
\(360\) | 14.3012 | − | 25.3258i | 0.753740 | − | 1.33479i | ||||
\(361\) | − | 16.9020i | − | 0.889578i | ||||||
\(362\) | −25.3961 | − | 17.3995i | −1.33479 | − | 0.914500i | ||||
\(363\) | 3.72164i | 0.195335i | ||||||||
\(364\) | −8.85615 | − | 3.91196i | −0.464189 | − | 0.205042i | ||||
\(365\) | 16.5746 | + | 4.81687i | 0.867553 | + | 0.252126i | ||||
\(366\) | 12.6668 | − | 18.4883i | 0.662104 | − | 0.966398i | ||||
\(367\) | −14.2201 | − | 14.2201i | −0.742284 | − | 0.742284i | 0.230733 | − | 0.973017i | \(-0.425887\pi\) |
−0.973017 | + | 0.230733i | \(0.925887\pi\) | |||||||
\(368\) | −27.6167 | − | 1.28509i | −1.43962 | − | 0.0669897i | ||||
\(369\) | 31.9479i | 1.66314i | ||||||||
\(370\) | 17.2391 | + | 21.0028i | 0.896218 | + | 1.09188i | ||||
\(371\) | −3.97050 | + | 3.97050i | −0.206138 | + | 0.206138i | ||||
\(372\) | 10.1736 | + | 26.2728i | 0.527478 | + | 1.36218i | ||||
\(373\) | 17.4713 | 0.904631 | 0.452315 | − | 0.891858i | \(-0.350598\pi\) | ||||
0.452315 | + | 0.891858i | \(0.350598\pi\) | |||||||
\(374\) | −2.11186 | − | 11.3021i | −0.109202 | − | 0.584420i | ||||
\(375\) | −30.7581 | − | 1.94291i | −1.58834 | − | 0.100332i | ||||
\(376\) | 6.61087 | − | 28.0794i | 0.340930 | − | 1.44808i | ||||
\(377\) | 10.0993 | + | 10.0993i | 0.520141 | + | 0.520141i | ||||
\(378\) | −5.14138 | − | 3.52250i | −0.264444 | − | 0.181178i | ||||
\(379\) | −20.2052 | + | 20.2052i | −1.03787 | + | 1.03787i | −0.0386164 | + | 0.999254i | \(0.512295\pi\) |
−0.999254 | + | 0.0386164i | \(0.987705\pi\) | |||||||
\(380\) | −0.560410 | − | 6.45340i | −0.0287484 | − | 0.331052i | ||||
\(381\) | 36.5109 | + | 36.5109i | 1.87051 | + | 1.87051i | ||||
\(382\) | 20.6711 | − | 3.86249i | 1.05762 | − | 0.197622i | ||||
\(383\) | −17.2009 | + | 17.2009i | −0.878923 | + | 0.878923i | −0.993423 | − | 0.114501i | \(-0.963473\pi\) |
0.114501 | + | 0.993423i | \(0.463473\pi\) | |||||||
\(384\) | −29.9920 | − | 8.55046i | −1.53052 | − | 0.436339i | ||||
\(385\) | −3.78511 | − | 6.88646i | −0.192907 | − | 0.350967i | ||||
\(386\) | 2.42070 | − | 3.53321i | 0.123210 | − | 0.179836i | ||||
\(387\) | 11.4821i | 0.583668i | ||||||||
\(388\) | 7.56900 | − | 17.1352i | 0.384258 | − | 0.869909i | ||||
\(389\) | 10.1366 | + | 10.1366i | 0.513945 | + | 0.513945i | 0.915733 | − | 0.401788i | \(-0.131611\pi\) |
−0.401788 | + | 0.915733i | \(0.631611\pi\) | |||||||
\(390\) | 26.7724 | + | 32.6174i | 1.35567 | + | 1.65165i | ||||
\(391\) | 15.9899 | 0.808642 | ||||||||
\(392\) | −2.40511 | + | 1.48843i | −0.121476 | + | 0.0751773i | ||||
\(393\) | 29.4186 | − | 29.4186i | 1.48397 | − | 1.48397i | ||||
\(394\) | 9.98166 | − | 1.86512i | 0.502869 | − | 0.0939635i | ||||
\(395\) | 12.4647 | + | 22.6778i | 0.627169 | + | 1.14104i | ||||
\(396\) | −29.5661 | − | 13.0600i | −1.48575 | − | 0.656290i | ||||
\(397\) | 26.9825 | 1.35421 | 0.677107 | − | 0.735884i | \(-0.263233\pi\) | ||||
0.677107 | + | 0.735884i | \(0.263233\pi\) | |||||||
\(398\) | −15.6608 | + | 2.92630i | −0.785007 | + | 0.146682i | ||||
\(399\) | −3.99277 | −0.199889 | ||||||||
\(400\) | 3.44758 | + | 19.7006i | 0.172379 | + | 0.985031i | ||||
\(401\) | −12.6110 | −0.629766 | −0.314883 | − | 0.949131i | \(-0.601965\pi\) | ||||
−0.314883 | + | 0.949131i | \(0.601965\pi\) | |||||||
\(402\) | 41.7004 | − | 7.79193i | 2.07983 | − | 0.388626i | ||||
\(403\) | −24.7381 | −1.23229 | ||||||||
\(404\) | 6.26283 | − | 14.1782i | 0.311587 | − | 0.705392i | ||||
\(405\) | −1.77512 | − | 3.22957i | −0.0882063 | − | 0.160479i | ||||
\(406\) | 4.10156 | − | 0.766396i | 0.203557 | − | 0.0380356i | ||||
\(407\) | 21.3520 | − | 21.3520i | 1.05838 | − | 1.05838i | ||||
\(408\) | 17.5575 | + | 4.13365i | 0.869226 | + | 0.204646i | ||||
\(409\) | −30.9798 | −1.53185 | −0.765925 | − | 0.642930i | \(-0.777719\pi\) | ||||
−0.765925 | + | 0.642930i | \(0.777719\pi\) | |||||||
\(410\) | −13.9381 | − | 16.9811i | −0.688354 | − | 0.838639i | ||||
\(411\) | −27.3878 | − | 27.3878i | −1.35094 | − | 1.35094i | ||||
\(412\) | 9.61166 | + | 4.24568i | 0.473533 | + | 0.209170i | ||||
\(413\) | 11.4432i | 0.563081i | ||||||||
\(414\) | 25.4057 | − | 37.0819i | 1.24862 | − | 1.82247i | ||||
\(415\) | 3.08044 | + | 5.60441i | 0.151213 | + | 0.275110i | ||||
\(416\) | 16.5107 | − | 21.8467i | 0.809503 | − | 1.07112i | ||||
\(417\) | 10.1908 | − | 10.1908i | 0.499046 | − | 0.499046i | ||||
\(418\) | −7.07624 | + | 1.32223i | −0.346110 | + | 0.0646724i | ||||
\(419\) | −4.37756 | − | 4.37756i | −0.213858 | − | 0.213858i | 0.592046 | − | 0.805904i | \(-0.298320\pi\) |
−0.805904 | + | 0.592046i | \(0.798320\pi\) | |||||||
\(420\) | 12.2815 | − | 1.06652i | 0.599278 | − | 0.0520410i | ||||
\(421\) | 12.5006 | − | 12.5006i | 0.609242 | − | 0.609242i | −0.333506 | − | 0.942748i | \(-0.608232\pi\) |
0.942748 | + | 0.333506i | \(0.108232\pi\) | |||||||
\(422\) | −33.4279 | − | 22.9023i | −1.62725 | − | 1.11487i | ||||
\(423\) | 33.1648 | + | 33.1648i | 1.61253 | + | 1.61253i | ||||
\(424\) | −8.35775 | − | 13.5050i | −0.405888 | − | 0.655861i | ||||
\(425\) | −2.52144 | − | 11.2892i | −0.122308 | − | 0.547605i | ||||
\(426\) | −8.73556 | − | 46.7505i | −0.423239 | − | 2.26507i | ||||
\(427\) | 5.74886 | 0.278207 | ||||||||
\(428\) | 1.40898 | − | 0.545598i | 0.0681055 | − | 0.0263725i | ||||
\(429\) | 33.1597 | − | 33.1597i | 1.60096 | − | 1.60096i | ||||
\(430\) | −5.00937 | − | 6.10304i | −0.241573 | − | 0.294315i | ||||
\(431\) | − | 3.76636i | − | 0.181419i | −0.995877 | − | 0.0907096i | \(-0.971086\pi\) | ||
0.995877 | − | 0.0907096i | \(-0.0289135\pi\) | |||||||
\(432\) | 13.0306 | − | 11.8718i | 0.626933 | − | 0.571181i | ||||
\(433\) | 0.265304 | + | 0.265304i | 0.0127497 | + | 0.0127497i | 0.713453 | − | 0.700703i | \(-0.247130\pi\) |
−0.700703 | + | 0.713453i | \(0.747130\pi\) | |||||||
\(434\) | −4.08472 | + | 5.96200i | −0.196073 | + | 0.286185i | ||||
\(435\) | −17.4636 | − | 5.07524i | −0.837316 | − | 0.243339i | ||||
\(436\) | 4.71047 | − | 10.6639i | 0.225591 | − | 0.510707i | ||||
\(437\) | − | 10.0112i | − | 0.478901i | ||||||
\(438\) | 24.8244 | + | 17.0078i | 1.18616 | + | 0.812666i | ||||
\(439\) | − | 22.7533i | − | 1.08595i | −0.839748 | − | 0.542977i | \(-0.817297\pi\) | ||
0.839748 | − | 0.542977i | \(-0.182703\pi\) | |||||||
\(440\) | 21.4130 | − | 5.95727i | 1.02082 | − | 0.284002i | ||||
\(441\) | − | 4.59869i | − | 0.218985i | ||||||
\(442\) | −8.95158 | + | 13.0656i | −0.425783 | + | 0.621467i | ||||
\(443\) | 8.76302i | 0.416344i | 0.978092 | + | 0.208172i | \(0.0667513\pi\) | ||||
−0.978092 | + | 0.208172i | \(0.933249\pi\) | |||||||
\(444\) | 17.1060 | + | 44.1752i | 0.811813 | + | 2.09646i | ||||
\(445\) | −6.81721 | − | 12.4029i | −0.323167 | − | 0.587955i | ||||
\(446\) | −12.4779 | − | 8.54894i | −0.590846 | − | 0.404804i | ||||
\(447\) | 37.1590 | + | 37.1590i | 1.75756 | + | 1.75756i | ||||
\(448\) | −2.53892 | − | 7.58643i | −0.119953 | − | 0.358425i | ||||
\(449\) | 27.0012i | 1.27427i | 0.770753 | + | 0.637134i | \(0.219880\pi\) | ||||
−0.770753 | + | 0.637134i | \(0.780120\pi\) | |||||||
\(450\) | −30.1868 | − | 12.0895i | −1.42302 | − | 0.569907i | ||||
\(451\) | −17.2634 | + | 17.2634i | −0.812904 | + | 0.812904i | ||||
\(452\) | 9.52953 | + | 4.20941i | 0.448232 | + | 0.197994i | ||||
\(453\) | 4.14128 | 0.194574 | ||||||||
\(454\) | −33.7589 | + | 6.30801i | −1.58438 | + | 0.296050i | ||||
\(455\) | −3.02080 | + | 10.3944i | −0.141617 | + | 0.487297i | ||||
\(456\) | 2.58807 | − | 10.9927i | 0.121197 | − | 0.514781i | ||||
\(457\) | −0.580944 | − | 0.580944i | −0.0271754 | − | 0.0271754i | 0.693389 | − | 0.720564i | \(-0.256117\pi\) |
−0.720564 | + | 0.693389i | \(0.756117\pi\) | |||||||
\(458\) | 15.7223 | − | 22.9481i | 0.734657 | − | 1.07229i | ||||
\(459\) | −7.20913 | + | 7.20913i | −0.336493 | + | 0.336493i | ||||
\(460\) | 2.67413 | + | 30.7939i | 0.124682 | + | 1.43578i | ||||
\(461\) | 8.34383 | + | 8.34383i | 0.388611 | + | 0.388611i | 0.874192 | − | 0.485581i | \(-0.161392\pi\) |
−0.485581 | + | 0.874192i | \(0.661392\pi\) | |||||||
\(462\) | −2.51635 | − | 13.4669i | −0.117071 | − | 0.626536i | ||||
\(463\) | 29.3567 | − | 29.3567i | 1.36432 | − | 1.36432i | 0.496002 | − | 0.868321i | \(-0.334801\pi\) |
0.868321 | − | 0.496002i | \(-0.165199\pi\) | |||||||
\(464\) | −0.548575 | + | 11.7890i | −0.0254670 | + | 0.547290i | ||||
\(465\) | 27.6043 | − | 15.1726i | 1.28012 | − | 0.703612i | ||||
\(466\) | 17.1083 | + | 11.7213i | 0.792526 | + | 0.542980i | ||||
\(467\) | − | 9.81342i | − | 0.454111i | −0.973882 | − | 0.227056i | \(-0.927090\pi\) | ||
0.973882 | − | 0.227056i | \(-0.0729099\pi\) | |||||||
\(468\) | 16.0774 | + | 41.5189i | 0.743177 | + | 1.91921i | ||||
\(469\) | 7.69473 | + | 7.69473i | 0.355309 | + | 0.355309i | ||||
\(470\) | −32.0970 | − | 3.15894i | −1.48052 | − | 0.145711i | ||||
\(471\) | −53.8201 | −2.47990 | ||||||||
\(472\) | −31.5048 | − | 7.41732i | −1.45012 | − | 0.341410i | ||||
\(473\) | −6.20450 | + | 6.20450i | −0.285283 | + | 0.285283i | ||||
\(474\) | 8.28659 | + | 44.3477i | 0.380616 | + | 2.03696i | ||||
\(475\) | −7.06812 | + | 1.57867i | −0.324308 | + | 0.0724342i | ||||
\(476\) | 1.67079 | + | 4.31474i | 0.0765807 | + | 0.197766i | ||||
\(477\) | 25.8223 | 1.18232 | ||||||||
\(478\) | −0.952710 | − | 5.09866i | −0.0435759 | − | 0.233207i | ||||
\(479\) | −6.71897 | −0.306997 | −0.153499 | − | 0.988149i | \(-0.549054\pi\) | ||||
−0.153499 | + | 0.988149i | \(0.549054\pi\) | |||||||
\(480\) | −5.02445 | + | 34.5043i | −0.229334 | + | 1.57490i | ||||
\(481\) | −41.5947 | −1.89656 | ||||||||
\(482\) | −3.21900 | − | 17.2273i | −0.146621 | − | 0.784681i | ||||
\(483\) | 19.0525 | 0.866917 | ||||||||
\(484\) | −0.975045 | − | 2.51800i | −0.0443202 | − | 0.114455i | ||||
\(485\) | −20.1115 | − | 5.84475i | −0.913214 | − | 0.265396i | ||||
\(486\) | −4.61428 | − | 24.6945i | −0.209308 | − | 1.12016i | ||||
\(487\) | 5.98522 | − | 5.98522i | 0.271216 | − | 0.271216i | −0.558373 | − | 0.829590i | \(-0.688574\pi\) |
0.829590 | + | 0.558373i | \(0.188574\pi\) | |||||||
\(488\) | −3.72634 | + | 15.8275i | −0.168684 | + | 0.716477i | ||||
\(489\) | 7.86539 | 0.355685 | ||||||||
\(490\) | 2.00630 | + | 2.44433i | 0.0906356 | + | 0.110424i | ||||
\(491\) | 15.4101 | + | 15.4101i | 0.695448 | + | 0.695448i | 0.963425 | − | 0.267977i | \(-0.0863552\pi\) |
−0.267977 | + | 0.963425i | \(0.586355\pi\) | |||||||
\(492\) | −13.8305 | − | 35.7164i | −0.623525 | − | 1.61022i | ||||
\(493\) | − | 6.82573i | − | 0.307415i | ||||||
\(494\) | 8.18033 | + | 5.60456i | 0.368050 | + | 0.252161i | ||||
\(495\) | −10.0849 | + | 34.7015i | −0.453281 | + | 1.55972i | ||||
\(496\) | −13.7666 | − | 15.1104i | −0.618140 | − | 0.678475i | ||||
\(497\) | 8.62659 | − | 8.62659i | 0.386955 | − | 0.386955i | ||||
\(498\) | 2.04788 | + | 10.9598i | 0.0917678 | + | 0.491118i | ||||
\(499\) | 4.98932 | + | 4.98932i | 0.223353 | + | 0.223353i | 0.809909 | − | 0.586556i | \(-0.199517\pi\) |
−0.586556 | + | 0.809909i | \(0.699517\pi\) | |||||||
\(500\) | 21.3195 | − | 6.74388i | 0.953436 | − | 0.301596i | ||||
\(501\) | 25.8002 | − | 25.8002i | 1.15267 | − | 1.15267i | ||||
\(502\) | 13.8929 | − | 20.2778i | 0.620069 | − | 0.905044i | ||||
\(503\) | −9.96195 | − | 9.96195i | −0.444181 | − | 0.444181i | 0.449233 | − | 0.893415i | \(-0.351697\pi\) |
−0.893415 | + | 0.449233i | \(0.851697\pi\) | |||||||
\(504\) | 12.6609 | + | 2.98082i | 0.563962 | + | 0.132776i | ||||
\(505\) | −16.6408 | − | 4.83612i | −0.740507 | − | 0.215205i | ||||
\(506\) | 33.7660 | − | 6.30934i | 1.50108 | − | 0.280485i | ||||
\(507\) | −28.7613 | −1.27733 | ||||||||
\(508\) | −34.2683 | − | 15.1371i | −1.52041 | − | 0.671598i | ||||
\(509\) | 2.99819 | − | 2.99819i | 0.132892 | − | 0.132892i | −0.637532 | − | 0.770424i | \(-0.720045\pi\) |
0.770424 | + | 0.637532i | \(0.220045\pi\) | |||||||
\(510\) | 1.97522 | − | 20.0696i | 0.0874643 | − | 0.888698i | ||||
\(511\) | 7.71905i | 0.341471i | ||||||||
\(512\) | 22.5323 | − | 2.07261i | 0.995796 | − | 0.0915974i | ||||
\(513\) | 4.51361 | + | 4.51361i | 0.199281 | + | 0.199281i | ||||
\(514\) | 9.87733 | + | 6.76722i | 0.435670 | + | 0.298489i | ||||
\(515\) | 3.27850 | − | 11.2811i | 0.144468 | − | 0.497106i | ||||
\(516\) | −4.97068 | − | 12.8365i | −0.218822 | − | 0.565096i | ||||
\(517\) | 35.8420i | 1.57633i | ||||||||
\(518\) | −6.86805 | + | 10.0245i | −0.301765 | + | 0.440452i | ||||
\(519\) | 1.75302i | 0.0769488i | ||||||||
\(520\) | −26.6593 | − | 15.0542i | −1.16909 | − | 0.660172i | ||||
\(521\) | − | 22.1577i | − | 0.970748i | −0.874307 | − | 0.485374i | \(-0.838683\pi\) | ||
0.874307 | − | 0.485374i | \(-0.161317\pi\) | |||||||
\(522\) | −15.8294 | − | 10.8452i | −0.692836 | − | 0.474680i | ||||
\(523\) | − | 1.20225i | − | 0.0525706i | −0.999654 | − | 0.0262853i | \(-0.991632\pi\) | ||
0.999654 | − | 0.0262853i | \(-0.00836784\pi\) | |||||||
\(524\) | −12.1967 | + | 27.6116i | −0.532813 | + | 1.20622i | ||||
\(525\) | −3.00438 | − | 13.4514i | −0.131122 | − | 0.587069i | ||||
\(526\) | −6.44543 | + | 9.40765i | −0.281034 | + | 0.410193i | ||||
\(527\) | 8.35977 | + | 8.35977i | 0.364157 | + | 0.364157i | ||||
\(528\) | 38.7075 | + | 1.80117i | 1.68453 | + | 0.0783859i | ||||
\(529\) | 24.7709i | 1.07700i | ||||||||
\(530\) | −13.7252 | + | 11.2657i | −0.596186 | + | 0.489349i | ||||
\(531\) | 37.2105 | − | 37.2105i | 1.61480 | − | 1.61480i | ||||
\(532\) | 2.70144 | − | 1.04608i | 0.117122 | − | 0.0453533i | ||||
\(533\) | 33.6301 | 1.45668 | ||||||||
\(534\) | −4.53210 | − | 24.2546i | −0.196123 | − | 1.04960i | ||||
\(535\) | −0.813686 | − | 1.48038i | −0.0351787 | − | 0.0640025i | ||||
\(536\) | −26.1724 | + | 16.1971i | −1.13048 | + | 0.699609i | ||||
\(537\) | 49.2174 | + | 49.2174i | 2.12389 | + | 2.12389i | ||||
\(538\) | −29.0820 | − | 19.9248i | −1.25381 | − | 0.859020i | ||||
\(539\) | 2.48496 | − | 2.48496i | 0.107035 | − | 0.107035i | ||||
\(540\) | −15.0893 | − | 12.6780i | −0.649339 | − | 0.545574i | ||||
\(541\) | 23.1670 | + | 23.1670i | 0.996029 | + | 0.996029i | 0.999992 | − | 0.00396338i | \(-0.00126159\pi\) |
−0.00396338 | + | 0.999992i | \(0.501262\pi\) | |||||||
\(542\) | −29.3223 | + | 5.47901i | −1.25950 | + | 0.235344i | ||||
\(543\) | −42.4304 | + | 42.4304i | −1.82086 | + | 1.82086i | ||||
\(544\) | −12.9621 | + | 1.80319i | −0.555746 | + | 0.0773112i | ||||
\(545\) | −12.5161 | − | 3.63740i | −0.536131 | − | 0.155809i | ||||
\(546\) | −10.6661 | + | 15.5681i | −0.456467 | + | 0.666253i | ||||
\(547\) | − | 7.51457i | − | 0.321300i | −0.987011 | − | 0.160650i | \(-0.948641\pi\) | ||
0.987011 | − | 0.160650i | \(-0.0513590\pi\) | |||||||
\(548\) | 25.7056 | + | 11.3547i | 1.09809 | + | 0.485050i | ||||
\(549\) | −18.6940 | − | 18.6940i | −0.797838 | − | 0.797838i | ||||
\(550\) | −9.77908 | − | 22.8446i | −0.416981 | − | 0.974096i | ||||
\(551\) | −4.27357 | −0.182060 | ||||||||
\(552\) | −12.3496 | + | 52.4544i | −0.525633 | + | 2.23261i | ||||
\(553\) | −8.18322 | + | 8.18322i | −0.347986 | + | 0.347986i | ||||
\(554\) | −44.9190 | + | 8.39334i | −1.90843 | + | 0.356599i | ||||
\(555\) | 46.4139 | − | 25.5112i | 1.97016 | − | 1.08289i | ||||
\(556\) | −4.22501 | + | 9.56486i | −0.179180 | + | 0.405640i | ||||
\(557\) | −12.5088 | −0.530015 | −0.265007 | − | 0.964246i | \(-0.585374\pi\) | ||||
−0.265007 | + | 0.964246i | \(0.585374\pi\) | |||||||
\(558\) | 32.6696 | − | 6.10447i | 1.38301 | − | 0.258423i | ||||
\(559\) | 12.0867 | 0.511212 | ||||||||
\(560\) | −8.03007 | + | 3.93928i | −0.339333 | + | 0.166465i | ||||
\(561\) | −22.4113 | −0.946207 | ||||||||
\(562\) | 2.96846 | − | 0.554671i | 0.125217 | − | 0.0233974i | ||||
\(563\) | −11.1356 | −0.469310 | −0.234655 | − | 0.972079i | \(-0.575396\pi\) | ||||
−0.234655 | + | 0.972079i | \(0.575396\pi\) | |||||||
\(564\) | −51.4341 | − | 22.7196i | −2.16577 | − | 0.956667i | ||||
\(565\) | 3.25048 | − | 11.1847i | 0.136749 | − | 0.470545i | ||||
\(566\) | 15.5741 | − | 2.91009i | 0.654628 | − | 0.122320i | ||||
\(567\) | 1.16538 | − | 1.16538i | 0.0489414 | − | 0.0489414i | ||||
\(568\) | 18.1587 | + | 29.3420i | 0.761921 | + | 1.23116i | ||||
\(569\) | 38.9443 | 1.63263 | 0.816316 | − | 0.577606i | \(-0.196013\pi\) | ||||
0.816316 | + | 0.577606i | \(0.196013\pi\) | |||||||
\(570\) | −12.5655 | − | 1.23668i | −0.526312 | − | 0.0517989i | ||||
\(571\) | 0.910506 | + | 0.910506i | 0.0381035 | + | 0.0381035i | 0.725902 | − | 0.687798i | \(-0.241423\pi\) |
−0.687798 | + | 0.725902i | \(0.741423\pi\) | |||||||
\(572\) | −13.7477 | + | 31.1229i | −0.574819 | + | 1.30131i | ||||
\(573\) | − | 40.9892i | − | 1.71235i | ||||||
\(574\) | 5.55294 | − | 8.10499i | 0.231775 | − | 0.338296i | ||||
\(575\) | 33.7272 | − | 7.53299i | 1.40652 | − | 0.314147i | ||||
\(576\) | −16.4133 | + | 32.9253i | −0.683888 | + | 1.37189i | ||||
\(577\) | 8.65158 | − | 8.65158i | 0.360170 | − | 0.360170i | −0.503705 | − | 0.863875i | \(-0.668030\pi\) |
0.863875 | + | 0.503705i | \(0.168030\pi\) | |||||||
\(578\) | −16.1923 | + | 3.02562i | −0.673512 | + | 0.125849i | ||||
\(579\) | −5.90308 | − | 5.90308i | −0.245324 | − | 0.245324i | ||||
\(580\) | 13.1453 | − | 1.14153i | 0.545828 | − | 0.0473994i | ||||
\(581\) | −2.02234 | + | 2.02234i | −0.0839007 | + | 0.0839007i | ||||
\(582\) | −30.1217 | − | 20.6372i | −1.24859 | − | 0.855439i | ||||
\(583\) | 13.9534 | + | 13.9534i | 0.577891 | + | 0.577891i | ||||
\(584\) | −21.2517 | − | 5.00340i | −0.879402 | − | 0.207042i | ||||
\(585\) | 43.6231 | − | 23.9772i | 1.80359 | − | 0.991336i | ||||
\(586\) | −2.80595 | − | 15.0167i | −0.115913 | − | 0.620334i | ||||
\(587\) | −28.3456 | −1.16995 | −0.584975 | − | 0.811051i | \(-0.698896\pi\) | ||||
−0.584975 | + | 0.811051i | \(0.698896\pi\) | |||||||
\(588\) | 1.99081 | + | 5.14115i | 0.0820995 | + | 0.212018i | ||||
\(589\) | 5.23403 | − | 5.23403i | 0.215664 | − | 0.215664i | ||||
\(590\) | −3.54429 | + | 36.0125i | −0.145916 | + | 1.48261i | ||||
\(591\) | − | 19.7929i | − | 0.814171i | ||||||
\(592\) | −23.1472 | − | 25.4066i | −0.951345 | − | 1.04420i | ||||
\(593\) | 17.0187 | + | 17.0187i | 0.698876 | + | 0.698876i | 0.964168 | − | 0.265292i | \(-0.0854683\pi\) |
−0.265292 | + | 0.964168i | \(0.585468\pi\) | |||||||
\(594\) | −12.3790 | + | 18.0682i | −0.507917 | + | 0.741348i | ||||
\(595\) | 4.53340 | − | 2.49176i | 0.185851 | − | 0.102152i | ||||
\(596\) | −34.8766 | − | 15.4058i | −1.42860 | − | 0.631044i | ||||
\(597\) | 31.0543i | 1.27097i | ||||||||
\(598\) | −39.0344 | − | 26.7435i | −1.59624 | − | 1.09362i | ||||
\(599\) | 27.7975i | 1.13578i | 0.823106 | + | 0.567888i | \(0.192239\pi\) | ||||
−0.823106 | + | 0.567888i | \(0.807761\pi\) | |||||||
\(600\) | 38.9813 | + | 0.447541i | 1.59140 | + | 0.0182708i | ||||
\(601\) | − | 11.6173i | − | 0.473880i | −0.971524 | − | 0.236940i | \(-0.923856\pi\) | ||
0.971524 | − | 0.236940i | \(-0.0761445\pi\) | |||||||
\(602\) | 1.99573 | − | 2.91294i | 0.0813400 | − | 0.118723i | ||||
\(603\) | − | 50.0429i | − | 2.03791i | ||||||
\(604\) | −2.80192 | + | 1.08499i | −0.114009 | + | 0.0441476i | ||||
\(605\) | −2.64561 | + | 1.45415i | −0.107559 | + | 0.0591195i | ||||
\(606\) | −24.9236 | − | 17.0758i | −1.01245 | − | 0.693658i | ||||
\(607\) | 1.46563 | + | 1.46563i | 0.0594882 | + | 0.0594882i | 0.736225 | − | 0.676737i | \(-0.236606\pi\) |
−0.676737 | + | 0.736225i | \(0.736606\pi\) | |||||||
\(608\) | 1.12897 | + | 8.11555i | 0.0457859 | + | 0.329129i | ||||
\(609\) | − | 8.13309i | − | 0.329569i | ||||||
\(610\) | 18.0921 | + | 1.78059i | 0.732527 | + | 0.0720942i | ||||
\(611\) | 34.9111 | − | 34.9111i | 1.41235 | − | 1.41235i | ||||
\(612\) | 8.59748 | − | 19.4636i | 0.347533 | − | 0.786767i | ||||
\(613\) | 11.1696 | 0.451137 | 0.225568 | − | 0.974227i | \(-0.427576\pi\) | ||||
0.225568 | + | 0.974227i | \(0.427576\pi\) | |||||||
\(614\) | 17.1544 | − | 3.20539i | 0.692297 | − | 0.129359i | ||||
\(615\) | −37.5265 | + | 20.6263i | −1.51321 | + | 0.831731i | ||||
\(616\) | 5.23076 | + | 8.45221i | 0.210753 | + | 0.340549i | ||||
\(617\) | 16.6541 | + | 16.6541i | 0.670468 | + | 0.670468i | 0.957824 | − | 0.287356i | \(-0.0927763\pi\) |
−0.287356 | + | 0.957824i | \(0.592776\pi\) | |||||||
\(618\) | 11.5760 | − | 16.8962i | 0.465656 | − | 0.679664i | ||||
\(619\) | 0.0485986 | − | 0.0485986i | 0.00195334 | − | 0.00195334i | −0.706129 | − | 0.708083i | \(-0.749560\pi\) |
0.708083 | + | 0.706129i | \(0.249560\pi\) | |||||||
\(620\) | −14.7015 | + | 17.4977i | −0.590427 | + | 0.702724i | ||||
\(621\) | −21.5378 | − | 21.5378i | −0.864282 | − | 0.864282i | ||||
\(622\) | 2.09345 | + | 11.2036i | 0.0839396 | + | 0.449224i | ||||
\(623\) | 4.47556 | − | 4.47556i | 0.179310 | − | 0.179310i | ||||
\(624\) | −35.9477 | − | 39.4565i | −1.43906 | − | 1.57952i | ||||
\(625\) | −10.6369 | − | 22.6242i | −0.425476 | − | 0.904970i | ||||
\(626\) | −9.55911 | − | 6.54920i | −0.382059 | − | 0.261759i | ||||
\(627\) | 14.0317i | 0.560371i | ||||||||
\(628\) | 36.4138 | − | 14.1005i | 1.45307 | − | 0.562672i | ||||
\(629\) | 14.0561 | + | 14.0561i | 0.560455 | + | 0.560455i | ||||
\(630\) | 1.42435 | − | 14.4724i | 0.0567476 | − | 0.576595i | ||||
\(631\) | 13.0513 | 0.519565 | 0.259782 | − | 0.965667i | \(-0.416349\pi\) | ||||
0.259782 | + | 0.965667i | \(0.416349\pi\) | |||||||
\(632\) | −17.2254 | − | 27.8339i | −0.685189 | − | 1.10717i | ||||
\(633\) | −55.8494 | + | 55.8494i | −2.21981 | + | 2.21981i | ||||
\(634\) | −5.96747 | − | 31.9364i | −0.236999 | − | 1.26836i | ||||
\(635\) | −11.6888 | + | 40.2204i | −0.463854 | + | 1.59610i | ||||
\(636\) | −28.8682 | + | 11.1786i | −1.14470 | + | 0.443262i | ||||
\(637\) | −4.84084 | −0.191801 | ||||||||
\(638\) | −2.69332 | − | 14.4140i | −0.106630 | − | 0.570655i | ||||
\(639\) | −56.1033 | −2.21941 | ||||||||
\(640\) | −5.64043 | − | 24.6614i | −0.222958 | − | 0.974828i | ||||
\(641\) | 34.2117 | 1.35128 | 0.675641 | − | 0.737231i | \(-0.263867\pi\) | ||||
0.675641 | + | 0.737231i | \(0.263867\pi\) | |||||||
\(642\) | −0.540941 | − | 2.89498i | −0.0213492 | − | 0.114256i | ||||
\(643\) | 28.6521 | 1.12993 | 0.564965 | − | 0.825115i | \(-0.308890\pi\) | ||||
0.564965 | + | 0.825115i | \(0.308890\pi\) | |||||||
\(644\) | −12.8906 | + | 4.99162i | −0.507960 | + | 0.196697i | ||||
\(645\) | −13.4871 | + | 7.41310i | −0.531052 | + | 0.291890i | ||||
\(646\) | −0.870433 | − | 4.65833i | −0.0342467 | − | 0.183280i | ||||
\(647\) | −2.27054 | + | 2.27054i | −0.0892640 | + | 0.0892640i | −0.750329 | − | 0.661065i | \(-0.770105\pi\) |
0.661065 | + | 0.750329i | \(0.270105\pi\) | |||||||
\(648\) | 2.45309 | + | 3.96386i | 0.0963664 | + | 0.155715i | ||||
\(649\) | 40.2144 | 1.57855 | ||||||||
\(650\) | −12.7261 | + | 31.7763i | −0.499160 | + | 1.24637i | ||||
\(651\) | 9.96095 | + | 9.96095i | 0.390400 | + | 0.390400i | ||||
\(652\) | −5.32159 | + | 2.06068i | −0.208410 | + | 0.0807025i | ||||
\(653\) | − | 4.22100i | − | 0.165181i | −0.996584 | − | 0.0825903i | \(-0.973681\pi\) | ||
0.996584 | − | 0.0825903i | \(-0.0263193\pi\) | |||||||
\(654\) | −18.7459 | − | 12.8433i | −0.733021 | − | 0.502212i | ||||
\(655\) | 32.4075 | + | 9.41820i | 1.26627 | + | 0.367999i | ||||
\(656\) | 18.7149 | + | 20.5417i | 0.730695 | + | 0.802017i | ||||
\(657\) | 25.1005 | − | 25.1005i | 0.979266 | − | 0.979266i | ||||
\(658\) | −2.64926 | − | 14.1782i | −0.103279 | − | 0.552722i | ||||
\(659\) | 11.9000 | + | 11.9000i | 0.463559 | + | 0.463559i | 0.899820 | − | 0.436261i | \(-0.143698\pi\) |
−0.436261 | + | 0.899820i | \(0.643698\pi\) | |||||||
\(660\) | −3.74805 | − | 43.1607i | −0.145893 | − | 1.68003i | ||||
\(661\) | −30.9844 | + | 30.9844i | −1.20515 | + | 1.20515i | −0.232576 | + | 0.972578i | \(0.574715\pi\) |
−0.972578 | + | 0.232576i | \(0.925285\pi\) | |||||||
\(662\) | −8.96481 | + | 13.0849i | −0.348427 | + | 0.508559i | ||||
\(663\) | 21.8292 | + | 21.8292i | 0.847777 | + | 0.847777i | ||||
\(664\) | −4.25695 | − | 6.87866i | −0.165202 | − | 0.266944i | ||||
\(665\) | −1.56009 | − | 2.83835i | −0.0604975 | − | 0.110067i | ||||
\(666\) | 54.9307 | − | 10.2641i | 2.12852 | − | 0.397725i | ||||
\(667\) | 20.3924 | 0.789596 | ||||||||
\(668\) | −10.6965 | + | 24.2155i | −0.413861 | + | 0.936926i | ||||
\(669\) | −20.8474 | + | 20.8474i | −0.806005 | + | 0.806005i | ||||
\(670\) | 21.8326 | + | 26.5992i | 0.843466 | + | 1.02762i | ||||
\(671\) | − | 20.2030i | − | 0.779930i | ||||||
\(672\) | −15.4448 | + | 2.14856i | −0.595796 | + | 0.0828827i | ||||
\(673\) | −13.4783 | − | 13.4783i | −0.519551 | − | 0.519551i | 0.397884 | − | 0.917436i | \(-0.369745\pi\) |
−0.917436 | + | 0.397884i | \(0.869745\pi\) | |||||||
\(674\) | 4.83118 | + | 3.30996i | 0.186090 | + | 0.127495i | ||||
\(675\) | −11.8098 | + | 18.6024i | −0.454561 | + | 0.716008i | ||||
\(676\) | 19.4594 | − | 7.53528i | 0.748440 | − | 0.289818i | ||||
\(677\) | − | 6.46862i | − | 0.248609i | −0.992244 | − | 0.124305i | \(-0.960330\pi\) | ||
0.992244 | − | 0.124305i | \(-0.0396700\pi\) | |||||||
\(678\) | 11.4771 | − | 16.7518i | 0.440776 | − | 0.643350i | ||||
\(679\) | − | 9.36624i | − | 0.359443i | ||||||
\(680\) | 3.92171 | + | 14.0963i | 0.150391 | + | 0.540568i | ||||
\(681\) | 66.9414i | 2.56520i | ||||||||
\(682\) | 20.9521 | + | 14.3548i | 0.802296 | + | 0.549674i | ||||
\(683\) | − | 42.9729i | − | 1.64431i | −0.569263 | − | 0.822155i | \(-0.692771\pi\) | ||
0.569263 | − | 0.822155i | \(-0.307229\pi\) | |||||||
\(684\) | −12.1861 | − | 5.38286i | −0.465946 | − | 0.205819i | ||||
\(685\) | 8.76806 | − | 30.1704i | 0.335010 | − | 1.15275i | ||||
\(686\) | −0.799311 | + | 1.16666i | −0.0305178 | + | 0.0445434i | ||||
\(687\) | −38.3403 | − | 38.3403i | −1.46278 | − | 1.46278i | ||||
\(688\) | 6.72617 | + | 7.38269i | 0.256433 | + | 0.281463i | ||||
\(689\) | − | 27.1819i | − | 1.03555i | ||||||
\(690\) | 59.9595 | + | 5.90112i | 2.28262 | + | 0.224652i | ||||
\(691\) | 2.17093 | − | 2.17093i | 0.0825860 | − | 0.0825860i | −0.664607 | − | 0.747193i | \(-0.731401\pi\) |
0.747193 | + | 0.664607i | \(0.231401\pi\) | |||||||
\(692\) | −0.459279 | − | 1.18606i | −0.0174591 | − | 0.0450873i | ||||
\(693\) | −16.1611 | −0.613908 | ||||||||
\(694\) | 5.56750 | + | 29.7959i | 0.211340 | + | 1.13104i | ||||
\(695\) | 11.2262 | + | 3.26253i | 0.425834 | + | 0.123755i | ||||
\(696\) | 22.3916 | + | 5.27177i | 0.848753 | + | 0.199826i | ||||
\(697\) | −11.3646 | − | 11.3646i | −0.430466 | − | 0.430466i | ||||
\(698\) | −34.7882 | − | 23.8343i | −1.31675 | − | 0.902141i | ||||
\(699\) | 28.5835 | − | 28.5835i | 1.08113 | − | 1.08113i | ||||
\(700\) | 5.55690 | + | 8.31389i | 0.210031 | + | 0.314236i | ||||
\(701\) | 1.86030 | + | 1.86030i | 0.0702627 | + | 0.0702627i | 0.741365 | − | 0.671102i | \(-0.234179\pi\) |
−0.671102 | + | 0.741365i | \(0.734179\pi\) | |||||||
\(702\) | 29.6564 | − | 5.54144i | 1.11931 | − | 0.209148i | ||||
\(703\) | 8.80051 | − | 8.80051i | 0.331917 | − | 0.331917i | ||||
\(704\) | −26.6608 | + | 8.92247i | −1.00481 | + | 0.336278i | ||||
\(705\) | −17.5440 | + | 60.3678i | −0.660744 | + | 2.27358i | ||||
\(706\) | −2.25970 | + | 3.29822i | −0.0850449 | + | 0.124130i | ||||
\(707\) | − | 7.74991i | − | 0.291465i | ||||||
\(708\) | −25.4911 | + | 57.7085i | −0.958015 | + | 2.16882i | ||||
\(709\) | −19.6414 | − | 19.6414i | −0.737649 | − | 0.737649i | 0.234473 | − | 0.972123i | \(-0.424663\pi\) |
−0.972123 | + | 0.234473i | \(0.924663\pi\) | |||||||
\(710\) | 29.8204 | − | 24.4766i | 1.11914 | − | 0.918590i | ||||
\(711\) | 53.2199 | 1.99590 | ||||||||
\(712\) | 9.42090 | + | 15.2229i | 0.353063 | + | 0.570503i | ||||
\(713\) | −24.9754 | + | 24.9754i | −0.935337 | + | 0.935337i | ||||
\(714\) | 8.86534 | − | 1.65653i | 0.331777 | − | 0.0619941i | ||||
\(715\) | 36.5287 | + | 10.6159i | 1.36610 | + | 0.397012i | ||||
\(716\) | −46.1944 | − | 20.4051i | −1.72636 | − | 0.762574i | ||||
\(717\) | −10.1103 | −0.377575 | ||||||||
\(718\) | 37.7106 | − | 7.04642i | 1.40735 | − | 0.262970i | ||||
\(719\) | 13.6872 | 0.510445 | 0.255222 | − | 0.966882i | \(-0.417851\pi\) | ||||
0.255222 | + | 0.966882i | \(0.417851\pi\) | |||||||
\(720\) | 38.9215 | + | 13.3023i | 1.45052 | + | 0.495748i | ||||
\(721\) | 5.25380 | 0.195662 | ||||||||
\(722\) | 23.4963 | − | 4.39041i | 0.874443 | − | 0.163394i | ||||
\(723\) | −34.1604 | −1.27044 | ||||||||
\(724\) | 17.5912 | − | 39.8242i | 0.653772 | − | 1.48005i | ||||
\(725\) | −3.21567 | − | 14.3974i | −0.119427 | − | 0.534707i | ||||
\(726\) | −5.17365 | + | 0.966722i | −0.192012 | + | 0.0358784i | ||||
\(727\) | 25.6782 | − | 25.6782i | 0.952350 | − | 0.952350i | −0.0465653 | − | 0.998915i | \(-0.514828\pi\) |
0.998915 | + | 0.0465653i | \(0.0148275\pi\) | |||||||
\(728\) | 3.13778 | − | 13.3276i | 0.116294 | − | 0.493953i | ||||
\(729\) | −44.0230 | −1.63048 | ||||||||
\(730\) | −2.39082 | + | 24.2924i | −0.0884883 | + | 0.899102i | ||||
\(731\) | −4.08446 | − | 4.08446i | −0.151069 | − | 0.151069i | ||||
\(732\) | 28.9918 | + | 12.8063i | 1.07157 | + | 0.473336i | ||||
\(733\) | − | 10.9558i | − | 0.404663i | −0.979317 | − | 0.202332i | \(-0.935148\pi\) | ||
0.979317 | − | 0.202332i | \(-0.0648519\pi\) | |||||||
\(734\) | 16.0744 | − | 23.4619i | 0.593315 | − | 0.865995i | ||||
\(735\) | 5.40170 | − | 2.96902i | 0.199245 | − | 0.109514i | ||||
\(736\) | −5.38717 | − | 38.7253i | −0.198574 | − | 1.42743i | ||||
\(737\) | 27.0414 | − | 27.0414i | 0.996081 | − | 0.996081i | ||||
\(738\) | −44.4124 | + | 8.29868i | −1.63484 | + | 0.305479i | ||||
\(739\) | −11.1809 | − | 11.1809i | −0.411294 | − | 0.411294i | 0.470895 | − | 0.882189i | \(-0.343931\pi\) |
−0.882189 | + | 0.470895i | \(0.843931\pi\) | |||||||
\(740\) | −24.7192 | + | 29.4206i | −0.908694 | + | 1.08152i | ||||
\(741\) | 13.6672 | − | 13.6672i | 0.502078 | − | 0.502078i | ||||
\(742\) | −6.55096 | − | 4.48823i | −0.240493 | − | 0.164768i | ||||
\(743\) | −3.74955 | − | 3.74955i | −0.137558 | − | 0.137558i | 0.634975 | − | 0.772533i | \(-0.281010\pi\) |
−0.772533 | + | 0.634975i | \(0.781010\pi\) | |||||||
\(744\) | −33.8806 | + | 20.9675i | −1.24212 | + | 0.768704i | ||||
\(745\) | −11.8962 | + | 40.9343i | −0.435845 | + | 1.49972i | ||||
\(746\) | 4.53830 | + | 24.2878i | 0.166159 | + | 0.889240i | ||||
\(747\) | 13.1523 | 0.481219 | ||||||||
\(748\) | 15.1631 | − | 5.87162i | 0.554420 | − | 0.214688i | ||||
\(749\) | 0.534193 | − | 0.534193i | 0.0195190 | − | 0.0195190i | ||||
\(750\) | −5.28869 | − | 43.2632i | −0.193116 | − | 1.57975i | ||||
\(751\) | − | 6.56902i | − | 0.239707i | −0.992792 | − | 0.119854i | \(-0.961758\pi\) | ||
0.992792 | − | 0.119854i | \(-0.0382425\pi\) | |||||||
\(752\) | 40.7519 | + | 1.89630i | 1.48607 | + | 0.0691510i | ||||
\(753\) | −33.8790 | − | 33.8790i | −1.23462 | − | 1.23462i | ||||
\(754\) | −11.4162 | + | 16.6630i | −0.415754 | + | 0.606829i | ||||
\(755\) | 1.61811 | + | 2.94392i | 0.0588892 | + | 0.107140i | ||||
\(756\) | 3.56130 | − | 8.06230i | 0.129523 | − | 0.293223i | ||||
\(757\) | − | 35.7256i | − | 1.29847i | −0.760589 | − | 0.649234i | \(-0.775090\pi\) | ||
0.760589 | − | 0.649234i | \(-0.224910\pi\) | |||||||
\(758\) | −33.3367 | − | 22.8399i | −1.21084 | − | 0.829581i | ||||
\(759\) | − | 66.9555i | − | 2.43033i | ||||||
\(760\) | 8.82564 | − | 2.45537i | 0.320140 | − | 0.0890656i | ||||
\(761\) | 23.5949i | 0.855315i | 0.903941 | + | 0.427658i | \(0.140661\pi\) | ||||
−0.903941 | + | 0.427658i | \(0.859339\pi\) | |||||||
\(762\) | −41.2718 | + | 60.2397i | −1.49512 | + | 2.18225i | ||||
\(763\) | − | 5.82895i | − | 0.211022i | ||||||
\(764\) | 10.7389 | + | 27.7326i | 0.388520 | + | 1.00333i | ||||
\(765\) | −22.8442 | − | 6.63893i | −0.825934 | − | 0.240031i | ||||
\(766\) | −28.3799 | − | 19.4438i | −1.02541 | − | 0.702532i | ||||
\(767\) | −39.1698 | − | 39.1698i | −1.41434 | − | 1.41434i | ||||
\(768\) | 4.09581 | − | 43.9146i | 0.147795 | − | 1.58463i | ||||
\(769\) | − | 20.1520i | − | 0.726700i | −0.931653 | − | 0.363350i | \(-0.881633\pi\) | ||
0.931653 | − | 0.363350i | \(-0.118367\pi\) | |||||||
\(770\) | 8.59003 | − | 7.05070i | 0.309563 | − | 0.254089i | ||||
\(771\) | 16.5025 | − | 16.5025i | 0.594322 | − | 0.594322i | ||||
\(772\) | 5.54050 | + | 2.44736i | 0.199407 | + | 0.0880825i | ||||
\(773\) | 5.06146 | 0.182048 | 0.0910240 | − | 0.995849i | \(-0.470986\pi\) | ||||
0.0910240 | + | 0.995849i | \(0.470986\pi\) | |||||||
\(774\) | −15.9619 | + | 2.98255i | −0.573738 | + | 0.107206i | ||||
\(775\) | 21.5715 | + | 13.6948i | 0.774873 | + | 0.491932i | ||||
\(776\) | 25.7867 | + | 6.07108i | 0.925688 | + | 0.217939i | ||||
\(777\) | 16.7484 | + | 16.7484i | 0.600844 | + | 0.600844i | ||||
\(778\) | −11.4584 | + | 16.7245i | −0.410802 | + | 0.599601i | ||||
\(779\) | −7.11536 | + | 7.11536i | −0.254934 | + | 0.254934i | ||||
\(780\) | −38.3889 | + | 45.6903i | −1.37454 | + | 1.63598i | ||||
\(781\) | −30.3162 | − | 30.3162i | −1.08480 | − | 1.08480i | ||||
\(782\) | 4.15348 | + | 22.2284i | 0.148528 | + | 0.794885i | ||||
\(783\) | −9.19402 | + | 9.19402i | −0.328568 | + | 0.328568i | ||||
\(784\) | −2.69390 | − | 2.95684i | −0.0962106 | − | 0.105602i | ||||
\(785\) | −21.0290 | − | 38.2592i | −0.750558 | − | 1.36553i | ||||
\(786\) | 48.5380 | + | 33.2546i | 1.73129 | + | 1.18615i | ||||
\(787\) | − | 11.1184i | − | 0.396328i | −0.980169 | − | 0.198164i | \(-0.936502\pi\) | ||
0.980169 | − | 0.198164i | \(-0.0634979\pi\) | |||||||
\(788\) | 5.18561 | + | 13.3916i | 0.184730 | + | 0.477054i | ||||
\(789\) | 15.7178 | + | 15.7178i | 0.559567 | + | 0.559567i | ||||
\(790\) | −28.2878 | + | 23.2186i | −1.00643 | + | 0.826081i | ||||
\(791\) | 5.20891 | 0.185208 | ||||||||
\(792\) | 10.4754 | − | 44.4939i | 0.372227 | − | 1.58102i | ||||
\(793\) | −19.6783 | + | 19.6783i | −0.698796 | + | 0.698796i | ||||
\(794\) | 7.00890 | + | 37.5099i | 0.248737 | + | 1.33118i | ||||
\(795\) | 16.6714 | + | 30.3313i | 0.591275 | + | 1.07574i | ||||
\(796\) | −8.13602 | − | 21.0108i | −0.288374 | − | 0.744709i | ||||
\(797\) | −24.7966 | −0.878340 | −0.439170 | − | 0.898404i | \(-0.644727\pi\) | ||||
−0.439170 | + | 0.898404i | \(0.644727\pi\) | |||||||
\(798\) | −1.03715 | − | 5.55056i | −0.0367147 | − | 0.196488i | ||||
\(799\) | −23.5950 | −0.834732 | ||||||||
\(800\) | −26.4913 | + | 9.91004i | −0.936610 | + | 0.350373i | ||||
\(801\) | −29.1070 | −1.02844 | ||||||||
\(802\) | −3.27581 | − | 17.5313i | −0.115673 | − | 0.619051i | ||||
\(803\) | 27.1268 | 0.957285 | ||||||||
\(804\) | 21.6639 | + | 55.9460i | 0.764029 | + | 1.97306i | ||||
\(805\) | 7.44433 | + | 13.5439i | 0.262378 | + | 0.477359i | ||||
\(806\) | −6.42590 | − | 34.3898i | −0.226343 | − | 1.21133i | ||||
\(807\) | −48.5885 | + | 48.5885i | −1.71040 | + | 1.71040i | ||||
\(808\) | 21.3367 | + | 5.02340i | 0.750622 | + | 0.176723i | ||||
\(809\) | 42.9948 | 1.51162 | 0.755808 | − | 0.654793i | \(-0.227244\pi\) | ||||
0.755808 | + | 0.654793i | \(0.227244\pi\) | |||||||
\(810\) | 4.02850 | − | 3.30659i | 0.141547 | − | 0.116182i | ||||
\(811\) | −13.1430 | − | 13.1430i | −0.461514 | − | 0.461514i | 0.437638 | − | 0.899151i | \(-0.355815\pi\) |
−0.899151 | + | 0.437638i | \(0.855815\pi\) | |||||||
\(812\) | 2.13082 | + | 5.50272i | 0.0747770 | + | 0.193107i | ||||
\(813\) | 58.1439i | 2.03920i | ||||||||
\(814\) | 35.2288 | + | 24.1362i | 1.23477 | + | 0.845973i | ||||
\(815\) | 3.07323 | + | 5.59129i | 0.107650 | + | 0.195854i | ||||
\(816\) | −1.18572 | + | 25.4814i | −0.0415086 | + | 0.892027i | ||||
\(817\) | −2.55727 | + | 2.55727i | −0.0894675 | + | 0.0894675i | ||||
\(818\) | −8.04721 | − | 43.0666i | −0.281364 | − | 1.50579i | ||||
\(819\) | 15.7413 | + | 15.7413i | 0.550045 | + | 0.550045i | ||||
\(820\) | 19.9859 | − | 23.7871i | 0.697937 | − | 0.830681i | ||||
\(821\) | 6.71849 | − | 6.71849i | 0.234477 | − | 0.234477i | −0.580082 | − | 0.814558i | \(-0.696979\pi\) |
0.814558 | + | 0.580082i | \(0.196979\pi\) | |||||||
\(822\) | 30.9591 | − | 45.1874i | 1.07982 | − | 1.57609i | ||||
\(823\) | 20.1460 | + | 20.1460i | 0.702246 | + | 0.702246i | 0.964892 | − | 0.262646i | \(-0.0845952\pi\) |
−0.262646 | + | 0.964892i | \(0.584595\pi\) | |||||||
\(824\) | −3.40545 | + | 14.4645i | −0.118635 | + | 0.503896i | ||||
\(825\) | −47.2720 | + | 10.5582i | −1.64580 | + | 0.367590i | ||||
\(826\) | −15.9077 | + | 2.97244i | −0.553501 | + | 0.103424i | ||||
\(827\) | −26.8726 | −0.934451 | −0.467225 | − | 0.884138i | \(-0.654746\pi\) | ||||
−0.467225 | + | 0.884138i | \(0.654746\pi\) | |||||||
\(828\) | 58.1488 | + | 25.6856i | 2.02081 | + | 0.892637i | ||||
\(829\) | −15.5232 | + | 15.5232i | −0.539144 | + | 0.539144i | −0.923277 | − | 0.384134i | \(-0.874500\pi\) |
0.384134 | + | 0.923277i | \(0.374500\pi\) | |||||||
\(830\) | −6.99082 | + | 5.73806i | −0.242655 | + | 0.199171i | ||||
\(831\) | 89.0711i | 3.08984i | ||||||||
\(832\) | 34.6590 | + | 17.2776i | 1.20158 | + | 0.598991i | ||||
\(833\) | 1.63587 | + | 1.63587i | 0.0566794 | + | 0.0566794i | ||||
\(834\) | 16.8139 | + | 11.5196i | 0.582218 | + | 0.398893i | ||||
\(835\) | 28.4215 | + | 8.25981i | 0.983568 | + | 0.285842i | ||||
\(836\) | −3.67621 | − | 9.49360i | −0.127144 | − | 0.328343i | ||||
\(837\) | − | 22.5207i | − | 0.778428i | ||||||
\(838\) | 4.94838 | − | 7.22259i | 0.170939 | − | 0.249500i | ||||
\(839\) | 50.9551i | 1.75917i | 0.475746 | + | 0.879583i | \(0.342178\pi\) | ||||
−0.475746 | + | 0.879583i | \(0.657822\pi\) | |||||||
\(840\) | 4.67285 | + | 16.7962i | 0.161229 | + | 0.579524i | ||||
\(841\) | 20.2949i | 0.699825i | ||||||||
\(842\) | 20.6249 | + | 14.1306i | 0.710780 | + | 0.486973i | ||||
\(843\) | − | 5.88624i | − | 0.202733i | ||||||
\(844\) | 23.1546 | − | 52.4190i | 0.797015 | − | 1.80434i | ||||
\(845\) | −11.2378 | − | 20.4456i | −0.386594 | − | 0.703351i | ||||
\(846\) | −37.4893 | + | 54.7189i | −1.28891 | + | 1.88127i | ||||
\(847\) | −0.954662 | − | 0.954662i | −0.0328026 | − | 0.0328026i | ||||
\(848\) | 16.6031 | − | 15.1266i | 0.570151 | − | 0.519449i | ||||
\(849\) | − | 30.8823i | − | 1.05988i | ||||||
\(850\) | 15.0387 | − | 6.43763i | 0.515824 | − | 0.220809i | ||||
\(851\) | −41.9937 | + | 41.9937i | −1.43953 | + | 1.43953i | ||||
\(852\) | 62.7212 | − | 24.2875i | 2.14879 | − | 0.832077i | ||||
\(853\) | 47.4000 | 1.62294 | 0.811472 | − | 0.584391i | \(-0.198666\pi\) | ||||
0.811472 | + | 0.584391i | \(0.198666\pi\) | |||||||
\(854\) | 1.49331 | + | 7.99180i | 0.0510999 | + | 0.273474i | ||||
\(855\) | −4.15662 | + | 14.3027i | −0.142153 | + | 0.489142i | ||||
\(856\) | 1.12446 | + | 1.81697i | 0.0384331 | + | 0.0621028i | ||||
\(857\) | −17.6753 | − | 17.6753i | −0.603778 | − | 0.603778i | 0.337535 | − | 0.941313i | \(-0.390407\pi\) |
−0.941313 | + | 0.337535i | \(0.890407\pi\) | |||||||
\(858\) | 54.7105 | + | 37.4836i | 1.86779 | + | 1.27967i | ||||
\(859\) | 10.3000 | − | 10.3000i | 0.351431 | − | 0.351431i | −0.509211 | − | 0.860642i | \(-0.670063\pi\) |
0.860642 | + | 0.509211i | \(0.170063\pi\) | |||||||
\(860\) | 7.18294 | − | 8.54910i | 0.244936 | − | 0.291522i | ||||
\(861\) | −13.5413 | − | 13.5413i | −0.461488 | − | 0.461488i | ||||
\(862\) | 5.23582 | − | 0.978338i | 0.178333 | − | 0.0333223i | ||||
\(863\) | −3.80338 | + | 3.80338i | −0.129469 | + | 0.129469i | −0.768872 | − | 0.639403i | \(-0.779182\pi\) |
0.639403 | + | 0.768872i | \(0.279182\pi\) | |||||||
\(864\) | 19.8884 | + | 15.0307i | 0.676616 | + | 0.511354i | ||||
\(865\) | −1.24617 | + | 0.684952i | −0.0423711 | + | 0.0232891i | ||||
\(866\) | −0.299899 | + | 0.437728i | −0.0101910 | + | 0.0148746i | ||||
\(867\) | 32.1082i | 1.09045i | ||||||||
\(868\) | −9.34912 | − | 4.12971i | −0.317330 | − | 0.140172i | ||||
\(869\) | 28.7580 | + | 28.7580i | 0.975550 | + | 0.975550i | ||||
\(870\) | 2.51906 | − | 25.5954i | 0.0854042 | − | 0.867766i | ||||
\(871\) | −52.6780 | −1.78492 | ||||||||
\(872\) | 16.0480 | + | 3.77826i | 0.543454 | + | 0.127948i | ||||
\(873\) | −30.4568 | + | 30.4568i | −1.03081 | + | 1.03081i | ||||
\(874\) | 13.9171 | − | 2.60048i | 0.470754 | − | 0.0879626i | ||||
\(875\) | 8.38836 | − | 7.39158i | 0.283578 | − | 0.249881i | ||||
\(876\) | −17.1952 | + | 38.9276i | −0.580971 | + | 1.31524i | ||||
\(877\) | −20.5582 | −0.694203 | −0.347101 | − | 0.937828i | \(-0.612834\pi\) | ||||
−0.347101 | + | 0.937828i | \(0.612834\pi\) | |||||||
\(878\) | 31.6305 | − | 5.91032i | 1.06748 | − | 0.199464i | ||||
\(879\) | −29.7770 | −1.00435 | ||||||||
\(880\) | 13.8437 | + | 28.2199i | 0.466671 | + | 0.951291i | ||||
\(881\) | 50.4861 | 1.70092 | 0.850461 | − | 0.526039i | \(-0.176323\pi\) | ||||
0.850461 | + | 0.526039i | \(0.176323\pi\) | |||||||
\(882\) | 6.39289 | − | 1.19454i | 0.215260 | − | 0.0402223i | ||||
\(883\) | −0.350512 | −0.0117957 | −0.00589784 | − | 0.999983i | \(-0.501877\pi\) | ||||
−0.00589784 | + | 0.999983i | \(0.501877\pi\) | |||||||
\(884\) | −20.4884 | − | 9.05018i | −0.689100 | − | 0.304391i | ||||
\(885\) | 67.7320 | + | 19.6841i | 2.27679 | + | 0.661675i | ||||
\(886\) | −12.1819 | + | 2.27626i | −0.409260 | + | 0.0764723i | ||||
\(887\) | −7.80320 | + | 7.80320i | −0.262006 | + | 0.262006i | −0.825869 | − | 0.563863i | \(-0.809315\pi\) |
0.563863 | + | 0.825869i | \(0.309315\pi\) | |||||||
\(888\) | −56.9669 | + | 35.2547i | −1.91168 | + | 1.18307i | ||||
\(889\) | −18.7313 | −0.628227 | ||||||||
\(890\) | 15.4711 | − | 12.6987i | 0.518594 | − | 0.425662i | ||||
\(891\) | −4.09547 | − | 4.09547i | −0.137203 | − | 0.137203i | ||||
\(892\) | 8.64311 | − | 19.5669i | 0.289393 | − | 0.655147i | ||||
\(893\) | 14.7728i | 0.494352i | ||||||||
\(894\) | −42.0044 | + | 61.3090i | −1.40484 | + | 2.05048i | ||||
\(895\) | −15.7567 | + | 54.2179i | −0.526689 | + | 1.81231i | ||||
\(896\) | 9.88679 | − | 5.50012i | 0.330295 | − | 0.183746i | ||||
\(897\) | −65.2164 | + | 65.2164i | −2.17751 | + | 2.17751i | ||||
\(898\) | −37.5359 | + | 7.01376i | −1.25259 | + | 0.234052i | ||||
\(899\) | 10.6615 | + | 10.6615i | 0.355580 | + | 0.355580i | ||||
\(900\) | 8.96509 | − | 45.1046i | 0.298836 | − | 1.50349i | ||||
\(901\) | −9.18561 | + | 9.18561i | −0.306017 | + | 0.306017i | ||||
\(902\) | −28.4831 | − | 19.5145i | −0.948385 | − | 0.649763i | ||||
\(903\) | −4.86677 | − | 4.86677i | −0.161956 | − | 0.161956i | ||||
\(904\) | −3.37636 | + | 14.3409i | −0.112296 | + | 0.476972i | ||||
\(905\) | −46.7413 | − | 13.5839i | −1.55373 | − | 0.451543i | ||||
\(906\) | 1.07573 | + | 5.75702i | 0.0357386 | + | 0.191264i | ||||
\(907\) | 11.3958 | 0.378391 | 0.189195 | − | 0.981939i | \(-0.439412\pi\) | ||||
0.189195 | + | 0.981939i | \(0.439412\pi\) | |||||||
\(908\) | −17.5382 | − | 45.2915i | −0.582026 | − | 1.50305i | ||||
\(909\) | −25.2009 | + | 25.2009i | −0.835861 | + | 0.835861i | ||||
\(910\) | −15.2345 | − | 1.49935i | −0.505018 | − | 0.0497031i | ||||
\(911\) | − | 5.90154i | − | 0.195527i | −0.995210 | − | 0.0977634i | \(-0.968831\pi\) | ||
0.995210 | − | 0.0977634i | \(-0.0311688\pi\) | |||||||
\(912\) | 15.9538 | + | 0.742377i | 0.528284 | + | 0.0245826i | ||||
\(913\) | 7.10704 | + | 7.10704i | 0.235209 | + | 0.235209i | ||||
\(914\) | 0.656697 | − | 0.958505i | 0.0217216 | − | 0.0317045i | ||||
\(915\) | 9.88899 | − | 34.0275i | 0.326920 | − | 1.12491i | ||||
\(916\) | 35.9854 | + | 15.8955i | 1.18899 | + | 0.525203i | ||||
\(917\) | 15.0927i | 0.498405i | ||||||||
\(918\) | −11.8944 | − | 8.14917i | −0.392574 | − | 0.268963i | ||||
\(919\) | − | 8.38806i | − | 0.276697i | −0.990384 | − | 0.138348i | \(-0.955821\pi\) | ||
0.990384 | − | 0.138348i | \(-0.0441794\pi\) | |||||||
\(920\) | −42.1137 | + | 11.7164i | −1.38845 | + | 0.386278i | ||||
\(921\) | − | 34.0160i | − | 1.12087i | ||||||
\(922\) | −9.43184 | + | 13.7666i | −0.310621 | + | 0.453378i | ||||
\(923\) | 59.0575i | 1.94390i | ||||||||
\(924\) | 18.0674 | − | 6.99624i | 0.594374 | − | 0.230159i | ||||
\(925\) | 36.2704 | + | 23.0265i | 1.19256 | + | 0.757105i | ||||
\(926\) | 48.4360 | + | 33.1848i | 1.59171 | + | 1.09052i | ||||
\(927\) | −17.0841 | − | 17.0841i | −0.561117 | − | 0.561117i | ||||
\(928\) | −16.5310 | + | 2.29967i | −0.542656 | + | 0.0754902i | ||||
\(929\) | − | 15.9242i | − | 0.522456i | −0.965277 | − | 0.261228i | \(-0.915873\pi\) | ||
0.965277 | − | 0.261228i | \(-0.0841275\pi\) | |||||||
\(930\) | 28.2626 | + | 34.4330i | 0.926768 | + | 1.12910i | ||||
\(931\) | 1.02421 | − | 1.02421i | 0.0335672 | − | 0.0335672i | ||||
\(932\) | −11.8504 | + | 26.8278i | −0.388174 | + | 0.878775i | ||||
\(933\) | 22.2159 | 0.727317 | ||||||||
\(934\) | 13.6422 | − | 2.54911i | 0.446385 | − | 0.0834093i | ||||
\(935\) | −8.75673 | − | 15.9316i | −0.286376 | − | 0.521019i | ||||
\(936\) | −53.5415 | + | 33.1348i | −1.75006 | + | 1.08305i | ||||
\(937\) | −5.02005 | − | 5.02005i | −0.163998 | − | 0.163998i | 0.620337 | − | 0.784335i | \(-0.286996\pi\) |
−0.784335 | + | 0.620337i | \(0.786996\pi\) | |||||||
\(938\) | −8.69809 | + | 12.6956i | −0.284003 | + | 0.414526i | ||||
\(939\) | −15.9708 | + | 15.9708i | −0.521187 | + | 0.521187i | ||||
\(940\) | −3.94601 | − | 45.4403i | −0.128705 | − | 1.48210i | ||||
\(941\) | −9.06596 | − | 9.06596i | −0.295542 | − | 0.295542i | 0.543723 | − | 0.839265i | \(-0.317014\pi\) |
−0.839265 | + | 0.543723i | \(0.817014\pi\) | |||||||
\(942\) | −13.9802 | − | 74.8182i | −0.455498 | − | 2.43771i | ||||
\(943\) | 33.9527 | − | 33.9527i | 1.10565 | − | 1.10565i | ||||
\(944\) | 2.12763 | − | 45.7232i | 0.0692485 | − | 1.48816i | ||||
\(945\) | −9.46266 | − | 2.75002i | −0.307820 | − | 0.0894581i | ||||
\(946\) | −10.2369 | − | 7.01354i | −0.332829 | − | 0.228030i | ||||
\(947\) | 22.0953i | 0.718000i | 0.933337 | + | 0.359000i | \(0.116882\pi\) | ||||
−0.933337 | + | 0.359000i | \(0.883118\pi\) | |||||||
\(948\) | −59.4976 | + | 23.0393i | −1.93239 | + | 0.748281i | ||||
\(949\) | −26.4222 | − | 26.4222i | −0.857702 | − | 0.857702i | ||||
\(950\) | −4.03058 | − | 9.41570i | −0.130769 | − | 0.305486i | ||||
\(951\) | −63.3275 | −2.05354 | ||||||||
\(952\) | −5.56414 | + | 3.44344i | −0.180335 | + | 0.111603i | ||||
\(953\) | −18.7860 | + | 18.7860i | −0.608539 | + | 0.608539i | −0.942564 | − | 0.334025i | \(-0.891593\pi\) |
0.334025 | + | 0.942564i | \(0.391593\pi\) | |||||||
\(954\) | 6.70751 | + | 35.8969i | 0.217164 | + | 1.16220i | ||||
\(955\) | 29.1381 | − | 16.0156i | 0.942887 | − | 0.518253i | ||||
\(956\) | 6.84045 | − | 2.64883i | 0.221236 | − | 0.0856691i | ||||
\(957\) | −28.5819 | −0.923920 | ||||||||
\(958\) | −1.74530 | − | 9.34039i | −0.0563880 | − | 0.301774i | ||||
\(959\) | 14.0509 | 0.453726 | ||||||||
\(960\) | −49.2714 | + | 1.97797i | −1.59023 | + | 0.0638386i | ||||
\(961\) | 4.88484 | 0.157576 | ||||||||
\(962\) | −10.8045 | − | 57.8231i | −0.348352 | − | 1.86429i | ||||
\(963\) | −3.47414 | −0.111953 | ||||||||
\(964\) | 23.1124 | − | 8.94981i | 0.744400 | − | 0.288254i | ||||
\(965\) | 1.88984 | − | 6.50284i | 0.0608361 | − | 0.209334i | ||||
\(966\) | 4.94901 | + | 26.4859i | 0.159232 | + | 0.852168i | ||||
\(967\) | 3.53862 | − | 3.53862i | 0.113794 | − | 0.113794i | −0.647917 | − | 0.761711i | \(-0.724360\pi\) |
0.761711 | + | 0.647917i | \(0.224360\pi\) | |||||||
\(968\) | 3.24713 | − | 2.00953i | 0.104367 | − | 0.0645888i | ||||
\(969\) | −9.23714 | −0.296740 | ||||||||
\(970\) | 2.90101 | − | 29.4762i | 0.0931457 | − | 0.946425i | ||||
\(971\) | −17.2283 | − | 17.2283i | −0.552881 | − | 0.552881i | 0.374390 | − | 0.927271i | \(-0.377852\pi\) |
−0.927271 | + | 0.374390i | \(0.877852\pi\) | |||||||
\(972\) | 33.1305 | − | 12.8291i | 1.06266 | − | 0.411494i | ||||
\(973\) | 5.22822i | 0.167609i | ||||||||
\(974\) | 9.87508 | + | 6.76567i | 0.316418 | + | 0.216786i | ||||
\(975\) | 56.3281 | + | 35.7602i | 1.80394 | + | 1.14524i | ||||
\(976\) | −22.9706 | − | 1.06889i | −0.735270 | − | 0.0342143i | ||||
\(977\) | 10.6098 | − | 10.6098i | 0.339438 | − | 0.339438i | −0.516718 | − | 0.856156i | \(-0.672846\pi\) |
0.856156 | + | 0.516718i | \(0.172846\pi\) | |||||||
\(978\) | 2.04309 | + | 10.9341i | 0.0653308 | + | 0.349634i | ||||
\(979\) | −15.7283 | − | 15.7283i | −0.502680 | − | 0.502680i | ||||
\(980\) | −2.87684 | + | 3.42400i | −0.0918973 | + | 0.109376i | ||||
\(981\) | −18.9544 | + | 18.9544i | −0.605167 | + | 0.605167i | ||||
\(982\) | −17.4195 | + | 25.4253i | −0.555879 | + | 0.811354i | ||||
\(983\) | −0.221714 | − | 0.221714i | −0.00707158 | − | 0.00707158i | 0.703562 | − | 0.710634i | \(-0.251592\pi\) |
−0.710634 | + | 0.703562i | \(0.751592\pi\) | |||||||
\(984\) | 46.0587 | − | 28.5040i | 1.46830 | − | 0.908676i | ||||
\(985\) | 14.0702 | − | 7.73363i | 0.448315 | − | 0.246414i | ||||
\(986\) | 9.48881 | − | 1.77303i | 0.302185 | − | 0.0564648i | ||||
\(987\) | −28.1143 | −0.894887 | ||||||||
\(988\) | −5.66629 | + | 12.8277i | −0.180269 | + | 0.408105i | ||||
\(989\) | 12.2026 | − | 12.2026i | 0.388021 | − | 0.388021i | ||||
\(990\) | −50.8600 | − | 5.00557i | −1.61644 | − | 0.159087i | ||||
\(991\) | 17.4578i | 0.554565i | 0.960788 | + | 0.277283i | \(0.0894338\pi\) | ||||
−0.960788 | + | 0.277283i | \(0.910566\pi\) | |||||||
\(992\) | 17.4297 | − | 23.0627i | 0.553394 | − | 0.732243i | ||||
\(993\) | 21.8615 | + | 21.8615i | 0.693753 | + | 0.693753i | ||||
\(994\) | 14.2331 | + | 9.75146i | 0.451446 | + | 0.309298i | ||||
\(995\) | −22.0756 | + | 12.1338i | −0.699845 | + | 0.384667i | ||||
\(996\) | −14.7038 | + | 5.69374i | −0.465907 | + | 0.180413i | ||||
\(997\) | − | 17.6800i | − | 0.559932i | −0.960010 | − | 0.279966i | \(-0.909677\pi\) | ||
0.960010 | − | 0.279966i | \(-0.0903231\pi\) | |||||||
\(998\) | −5.63991 | + | 8.23194i | −0.178528 | + | 0.260577i | ||||
\(999\) | − | 37.8663i | − | 1.19804i |
(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 | 560.2.bl.a.323.42 | yes | 144 | |
5.2 | odd | 4 | 560.2.t.a.547.6 | yes | 144 | ||
16.11 | odd | 4 | 560.2.t.a.43.6 | ✓ | 144 | ||
80.27 | even | 4 | inner | 560.2.bl.a.267.42 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
560.2.t.a.43.6 | ✓ | 144 | 16.11 | odd | 4 | ||
560.2.t.a.547.6 | yes | 144 | 5.2 | odd | 4 | ||
560.2.bl.a.267.42 | yes | 144 | 80.27 | even | 4 | inner | |
560.2.bl.a.323.42 | yes | 144 | 1.1 | even | 1 | trivial |