Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(91,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 6 x^{10} - 26 x^{9} + 61 x^{8} - 120 x^{7} + 465 x^{6} - 600 x^{5} + 1525 x^{4} - 3250 x^{3} + 3750 x^{2} - 3125 x + 15625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 361.3 | ||
Root | \(-1.38239 - 1.75756i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 450.361 |
Dual form | 450.2.h.g.91.3 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 1.38239 | + | 1.75756i | 0.618223 | + | 0.786003i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.447412 | −0.169106 | −0.0845529 | − | 0.996419i | \(-0.526946\pi\) | ||||
−0.0845529 | + | 0.996419i | \(0.526946\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.15144 | + | 0.609344i | 0.680345 | + | 0.192692i | ||||
\(11\) | 4.42816 | − | 3.21725i | 1.33514 | − | 0.970036i | 0.335532 | − | 0.942029i | \(-0.391084\pi\) |
0.999608 | − | 0.0280073i | \(-0.00891617\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.573372 | − | 0.416579i | −0.159025 | − | 0.115538i | 0.505427 | − | 0.862869i | \(-0.331335\pi\) |
−0.664452 | + | 0.747331i | \(0.731335\pi\) | |||||||
\(14\) | −0.361964 | + | 0.262982i | −0.0967389 | + | 0.0702849i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 0.133697 | + | 0.411479i | 0.0324264 | + | 0.0997982i | 0.965960 | − | 0.258692i | \(-0.0832916\pi\) |
−0.933533 | + | 0.358490i | \(0.883292\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.49304 | + | 7.67280i | 0.571944 | + | 1.76026i | 0.646358 | + | 0.763034i | \(0.276291\pi\) |
−0.0744148 | + | 0.997227i | \(0.523709\pi\) | |||||||
\(20\) | 2.09872 | − | 0.771616i | 0.469287 | − | 0.172539i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.69141 | − | 5.20561i | 0.360609 | − | 1.10984i | ||||
\(23\) | 4.65186 | − | 3.37978i | 0.969981 | − | 0.704732i | 0.0145336 | − | 0.999894i | \(-0.495374\pi\) |
0.955447 | + | 0.295162i | \(0.0953737\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.17800 | + | 4.85925i | −0.235600 | + | 0.971850i | ||||
\(26\) | −0.708727 | −0.138993 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.138258 | + | 0.425514i | −0.0261283 | + | 0.0804145i | ||||
\(29\) | 1.03259 | − | 3.17797i | 0.191746 | − | 0.590135i | −0.808253 | − | 0.588836i | \(-0.799587\pi\) |
0.999999 | − | 0.00129904i | \(-0.000413496\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.407310 | − | 1.25357i | −0.0731550 | − | 0.225148i | 0.907793 | − | 0.419419i | \(-0.137766\pi\) |
−0.980948 | + | 0.194271i | \(0.937766\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.350025 | + | 0.254308i | 0.0600287 | + | 0.0436134i | ||||
\(35\) | −0.618497 | − | 0.786351i | −0.104545 | − | 0.132918i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.14595 | − | 5.91838i | −1.33919 | − | 0.972976i | −0.999473 | − | 0.0324464i | \(-0.989670\pi\) |
−0.339713 | − | 0.940529i | \(-0.610330\pi\) | |||||||
\(38\) | 6.52687 | + | 4.74205i | 1.05880 | + | 0.769262i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.24435 | − | 1.85784i | 0.196749 | − | 0.293751i | ||||
\(41\) | −4.80242 | − | 3.48916i | −0.750012 | − | 0.544916i | 0.145819 | − | 0.989311i | \(-0.453418\pi\) |
−0.895831 | + | 0.444396i | \(0.853418\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.09283 | −1.08165 | −0.540823 | − | 0.841136i | \(-0.681887\pi\) | ||||
−0.540823 | + | 0.841136i | \(0.681887\pi\) | |||||||
\(44\) | −1.69141 | − | 5.20561i | −0.254989 | − | 0.784776i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.77685 | − | 5.46859i | 0.261983 | − | 0.806300i | ||||
\(47\) | −2.83769 | + | 8.73350i | −0.413919 | + | 1.27391i | 0.499295 | + | 0.866432i | \(0.333592\pi\) |
−0.913214 | + | 0.407480i | \(0.866408\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.79982 | −0.971403 | ||||||||
\(50\) | 1.90317 | + | 4.62363i | 0.269149 | + | 0.653880i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.573372 | + | 0.416579i | −0.0795124 | + | 0.0577691i | ||||
\(53\) | −0.210809 | + | 0.648802i | −0.0289568 | + | 0.0891198i | −0.964490 | − | 0.264118i | \(-0.914919\pi\) |
0.935534 | + | 0.353238i | \(0.114919\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 11.7759 | + | 3.33525i | 1.58787 | + | 0.449725i | ||||
\(56\) | 0.138258 | + | 0.425514i | 0.0184755 | + | 0.0568617i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.03259 | − | 3.17797i | −0.135585 | − | 0.417288i | ||||
\(59\) | 2.75539 | + | 2.00191i | 0.358721 | + | 0.260626i | 0.752518 | − | 0.658571i | \(-0.228839\pi\) |
−0.393798 | + | 0.919197i | \(0.628839\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.91755 | − | 3.57281i | 0.629628 | − | 0.457451i | −0.226644 | − | 0.973978i | \(-0.572775\pi\) |
0.856271 | + | 0.516527i | \(0.172775\pi\) | |||||||
\(62\) | −1.06635 | − | 0.774750i | −0.135427 | − | 0.0983933i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −0.0604623 | − | 1.58361i | −0.00749943 | − | 0.196422i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.528998 | + | 1.62809i | 0.0646274 | + | 0.198903i | 0.978156 | − | 0.207871i | \(-0.0666536\pi\) |
−0.913529 | + | 0.406774i | \(0.866654\pi\) | |||||||
\(68\) | 0.432654 | 0.0524670 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.962580 | − | 0.272628i | −0.115050 | − | 0.0325852i | ||||
\(71\) | 0.558490 | − | 1.71886i | 0.0662806 | − | 0.203991i | −0.912431 | − | 0.409230i | \(-0.865797\pi\) |
0.978712 | + | 0.205240i | \(0.0657973\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.0932 | + | 7.33316i | −1.18132 | + | 0.858281i | −0.992320 | − | 0.123695i | \(-0.960525\pi\) |
−0.189003 | + | 0.981977i | \(0.560525\pi\) | |||||||
\(74\) | −10.0689 | −1.17049 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.06766 | 0.925424 | ||||||||
\(77\) | −1.98121 | + | 1.43943i | −0.225780 | + | 0.164039i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.72171 | + | 8.37656i | −0.306216 | + | 0.942436i | 0.673004 | + | 0.739638i | \(0.265003\pi\) |
−0.979221 | + | 0.202798i | \(0.934997\pi\) | |||||||
\(80\) | −0.0853112 | − | 2.23444i | −0.00953808 | − | 0.249818i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.93612 | −0.655534 | ||||||||
\(83\) | −0.545222 | − | 1.67802i | −0.0598459 | − | 0.184187i | 0.916664 | − | 0.399658i | \(-0.130871\pi\) |
−0.976510 | + | 0.215471i | \(0.930871\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.538374 | + | 0.803804i | −0.0583949 | + | 0.0871848i | ||||
\(86\) | −5.73822 | + | 4.16906i | −0.618768 | + | 0.449561i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.42816 | − | 3.21725i | −0.472043 | − | 0.342960i | ||||
\(89\) | −11.2689 | + | 8.18730i | −1.19450 | + | 0.867852i | −0.993732 | − | 0.111787i | \(-0.964342\pi\) |
−0.200764 | + | 0.979640i | \(0.564342\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.256533 | + | 0.186382i | 0.0268920 | + | 0.0195382i | ||||
\(92\) | −1.77685 | − | 5.46859i | −0.185250 | − | 0.570140i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.83769 | + | 8.73350i | 0.292685 | + | 0.900792i | ||||
\(95\) | −10.0390 | + | 14.9885i | −1.02998 | + | 1.53778i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.04585 | − | 12.4519i | 0.410794 | − | 1.26429i | −0.505165 | − | 0.863023i | \(-0.668568\pi\) |
0.915959 | − | 0.401272i | \(-0.131432\pi\) | |||||||
\(98\) | −5.50117 | + | 3.99684i | −0.555702 | + | 0.403741i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.25740 | + | 2.62194i | 0.425740 | + | 0.262194i | ||||
\(101\) | 11.9062 | 1.18471 | 0.592354 | − | 0.805678i | \(-0.298199\pi\) | ||||
0.592354 | + | 0.805678i | \(0.298199\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.66263 | + | 5.11705i | −0.163824 | + | 0.504198i | −0.998948 | − | 0.0458642i | \(-0.985396\pi\) |
0.835124 | + | 0.550062i | \(0.185396\pi\) | |||||||
\(104\) | −0.219009 | + | 0.674039i | −0.0214756 | + | 0.0660950i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.210809 | + | 0.648802i | 0.0204755 | + | 0.0630172i | ||||
\(107\) | −13.9215 | −1.34584 | −0.672921 | − | 0.739715i | \(-0.734960\pi\) | ||||
−0.672921 | + | 0.739715i | \(0.734960\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.60018 | + | 4.06877i | 0.536400 | + | 0.389718i | 0.822746 | − | 0.568409i | \(-0.192441\pi\) |
−0.286346 | + | 0.958126i | \(0.592441\pi\) | |||||||
\(110\) | 11.4873 | − | 4.22344i | 1.09527 | − | 0.402689i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.361964 | + | 0.262982i | 0.0342024 | + | 0.0248495i | ||||
\(113\) | −11.1677 | − | 8.11381i | −1.05057 | − | 0.763283i | −0.0782487 | − | 0.996934i | \(-0.524933\pi\) |
−0.972321 | + | 0.233651i | \(0.924933\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 12.3708 | + | 3.50374i | 1.15359 | + | 0.326726i | ||||
\(116\) | −2.70335 | − | 1.96410i | −0.250999 | − | 0.182362i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.40584 | 0.313533 | ||||||||
\(119\) | −0.0598178 | − | 0.184100i | −0.00548349 | − | 0.0168764i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.85873 | − | 18.0313i | 0.532612 | − | 1.63921i | ||||
\(122\) | 1.87834 | − | 5.78092i | 0.170057 | − | 0.523380i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.31808 | −0.118367 | ||||||||
\(125\) | −10.1689 | + | 4.64697i | −0.909530 | + | 0.415638i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.62222 | − | 6.26441i | 0.765098 | − | 0.555876i | −0.135372 | − | 0.990795i | \(-0.543223\pi\) |
0.900470 | + | 0.434919i | \(0.143223\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.979736 | − | 1.24563i | −0.0859285 | − | 0.109249i | ||||
\(131\) | −3.01855 | − | 9.29014i | −0.263732 | − | 0.811683i | −0.991983 | − | 0.126373i | \(-0.959666\pi\) |
0.728251 | − | 0.685311i | \(-0.240334\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.11542 | − | 3.43290i | −0.0967189 | − | 0.297670i | ||||
\(134\) | 1.38494 | + | 1.00621i | 0.119640 | + | 0.0869237i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.350025 | − | 0.254308i | 0.0300144 | − | 0.0218067i | ||||
\(137\) | 12.7881 | + | 9.29107i | 1.09256 | + | 0.793790i | 0.979829 | − | 0.199836i | \(-0.0640409\pi\) |
0.112729 | + | 0.993626i | \(0.464041\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.10149 | + | 5.88608i | −0.687159 | + | 0.499251i | −0.875725 | − | 0.482810i | \(-0.839616\pi\) |
0.188566 | + | 0.982061i | \(0.439616\pi\) | |||||||
\(140\) | −0.938990 | + | 0.345230i | −0.0793591 | + | 0.0291772i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.558490 | − | 1.71886i | −0.0468674 | − | 0.144243i | ||||
\(143\) | −3.87922 | −0.324397 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.01290 | − | 2.57837i | 0.582390 | − | 0.214122i | ||||
\(146\) | −3.85527 | + | 11.8653i | −0.319064 | + | 0.981979i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −8.14595 | + | 5.91838i | −0.669593 | + | 0.486488i | ||||
\(149\) | 15.8758 | 1.30060 | 0.650299 | − | 0.759678i | \(-0.274644\pi\) | ||||
0.650299 | + | 0.759678i | \(0.274644\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.9787 | 1.46308 | 0.731541 | − | 0.681797i | \(-0.238801\pi\) | ||||
0.731541 | + | 0.681797i | \(0.238801\pi\) | |||||||
\(152\) | 6.52687 | − | 4.74205i | 0.529399 | − | 0.384631i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.756755 | + | 2.32905i | −0.0609810 | + | 0.187680i | ||||
\(155\) | 1.64016 | − | 2.44879i | 0.131741 | − | 0.196692i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −20.7997 | −1.66000 | −0.830000 | − | 0.557763i | \(-0.811660\pi\) | ||||
−0.830000 | + | 0.557763i | \(0.811660\pi\) | |||||||
\(158\) | 2.72171 | + | 8.37656i | 0.216528 | + | 0.666403i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.38239 | − | 1.75756i | −0.109287 | − | 0.138947i | ||||
\(161\) | −2.08130 | + | 1.51215i | −0.164029 | + | 0.119174i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.54778 | − | 3.30416i | −0.356210 | − | 0.258802i | 0.395260 | − | 0.918569i | \(-0.370655\pi\) |
−0.751469 | + | 0.659768i | \(0.770655\pi\) | |||||||
\(164\) | −4.80242 | + | 3.48916i | −0.375006 | + | 0.272458i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.42741 | − | 1.03707i | −0.110788 | − | 0.0804925i | ||||
\(167\) | 0.628797 | + | 1.93524i | 0.0486578 | + | 0.149753i | 0.972433 | − | 0.233181i | \(-0.0749135\pi\) |
−0.923776 | + | 0.382934i | \(0.874914\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.86200 | − | 11.8860i | −0.297077 | − | 0.914310i | ||||
\(170\) | 0.0369102 | + | 0.966740i | 0.00283088 | + | 0.0741455i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.19180 | + | 6.74568i | −0.167124 | + | 0.514353i | ||||
\(173\) | 3.75509 | − | 2.72823i | 0.285494 | − | 0.207424i | −0.435816 | − | 0.900036i | \(-0.643540\pi\) |
0.721310 | + | 0.692612i | \(0.243540\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.527051 | − | 2.17409i | 0.0398413 | − | 0.164345i | ||||
\(176\) | −5.47350 | −0.412581 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.30432 | + | 13.2473i | −0.322622 | + | 0.992930i | ||||
\(179\) | 5.14952 | − | 15.8486i | 0.384893 | − | 1.18458i | −0.551664 | − | 0.834066i | \(-0.686007\pi\) |
0.936558 | − | 0.350514i | \(-0.113993\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.03554 | + | 6.26475i | 0.151301 | + | 0.465655i | 0.997767 | − | 0.0667863i | \(-0.0212746\pi\) |
−0.846467 | + | 0.532442i | \(0.821275\pi\) | |||||||
\(182\) | 0.317093 | 0.0235045 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.65186 | − | 3.37978i | −0.342940 | − | 0.249160i | ||||
\(185\) | −0.858994 | − | 22.4985i | −0.0631545 | − | 1.65412i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.91586 | + | 1.39195i | 0.140102 | + | 0.101790i | ||||
\(188\) | 7.42916 | + | 5.39760i | 0.541827 | + | 0.393661i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.688261 | + | 18.0267i | 0.0499317 | + | 1.30779i | ||||
\(191\) | 7.30988 | + | 5.31094i | 0.528924 | + | 0.384286i | 0.819955 | − | 0.572428i | \(-0.193998\pi\) |
−0.291031 | + | 0.956714i | \(0.593998\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.1970 | −1.16589 | −0.582944 | − | 0.812512i | \(-0.698099\pi\) | ||||
−0.582944 | + | 0.812512i | \(0.698099\pi\) | |||||||
\(194\) | −4.04585 | − | 12.4519i | −0.290475 | − | 0.893991i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.10126 | + | 6.46702i | −0.150090 | + | 0.461930i | ||||
\(197\) | −2.93651 | + | 9.03765i | −0.209218 | + | 0.643906i | 0.790296 | + | 0.612725i | \(0.209927\pi\) |
−0.999514 | + | 0.0311807i | \(0.990073\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.2676 | 1.22407 | 0.612033 | − | 0.790832i | \(-0.290352\pi\) | ||||
0.612033 | + | 0.790832i | \(0.290352\pi\) | |||||||
\(200\) | 4.98544 | − | 0.381245i | 0.352524 | − | 0.0269581i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.63228 | − | 6.99826i | 0.677725 | − | 0.492396i | ||||
\(203\) | −0.461991 | + | 1.42186i | −0.0324254 | + | 0.0997952i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.506417 | − | 13.2639i | −0.0353697 | − | 0.926391i | ||||
\(206\) | 1.66263 | + | 5.11705i | 0.115841 | + | 0.356521i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.219009 | + | 0.674039i | 0.0151855 | + | 0.0467362i | ||||
\(209\) | 35.7249 | + | 25.9556i | 2.47114 | + | 1.79539i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.18538 | + | 0.861229i | −0.0816049 | + | 0.0592894i | −0.627840 | − | 0.778343i | \(-0.716061\pi\) |
0.546235 | + | 0.837632i | \(0.316061\pi\) | |||||||
\(212\) | 0.551904 | + | 0.400982i | 0.0379049 | + | 0.0275395i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.2627 | + | 8.18285i | −0.769904 | + | 0.559368i | ||||
\(215\) | −9.80505 | − | 12.4660i | −0.668699 | − | 0.850177i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.182235 | + | 0.560863i | 0.0123709 | + | 0.0380738i | ||||
\(218\) | 6.92221 | 0.468831 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.81097 | − | 10.1689i | 0.459196 | − | 0.685589i | ||||
\(221\) | 0.0947550 | − | 0.291626i | 0.00637391 | − | 0.0196169i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.5522 | − | 9.84622i | 0.907520 | − | 0.659352i | −0.0328667 | − | 0.999460i | \(-0.510464\pi\) |
0.940386 | + | 0.340108i | \(0.110464\pi\) | |||||||
\(224\) | 0.447412 | 0.0298940 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.8040 | −0.918231 | ||||||||
\(227\) | 17.3999 | − | 12.6418i | 1.15487 | − | 0.839064i | 0.165752 | − | 0.986167i | \(-0.446995\pi\) |
0.989121 | + | 0.147103i | \(0.0469949\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.13908 | + | 15.8165i | −0.339600 | + | 1.04518i | 0.624812 | + | 0.780775i | \(0.285176\pi\) |
−0.964412 | + | 0.264406i | \(0.914824\pi\) | |||||||
\(230\) | 12.0677 | − | 4.43681i | 0.795718 | − | 0.292554i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.34152 | −0.219381 | ||||||||
\(233\) | −6.74920 | − | 20.7719i | −0.442155 | − | 1.36081i | −0.885574 | − | 0.464498i | \(-0.846235\pi\) |
0.443420 | − | 0.896314i | \(-0.353765\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −19.2724 | + | 7.08571i | −1.25719 | + | 0.462221i | ||||
\(236\) | 2.75539 | − | 2.00191i | 0.179360 | − | 0.130313i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.156605 | − | 0.113780i | −0.0101512 | − | 0.00737528i | ||||
\(239\) | −5.25729 | + | 3.81964i | −0.340066 | + | 0.247072i | −0.744690 | − | 0.667411i | \(-0.767402\pi\) |
0.404624 | + | 0.914483i | \(0.367402\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.3804 | − | 11.9011i | −1.05515 | − | 0.766614i | −0.0819684 | − | 0.996635i | \(-0.526121\pi\) |
−0.973186 | + | 0.230021i | \(0.926121\pi\) | |||||||
\(242\) | −5.85873 | − | 18.0313i | −0.376614 | − | 1.15910i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.87834 | − | 5.78092i | −0.120248 | − | 0.370086i | ||||
\(245\) | −9.40000 | − | 11.9511i | −0.600544 | − | 0.763525i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.76689 | − | 5.43792i | 0.112424 | − | 0.346007i | ||||
\(248\) | −1.06635 | + | 0.774750i | −0.0677134 | + | 0.0491967i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.49536 | + | 9.73658i | −0.347557 | + | 0.615796i | ||||
\(251\) | 2.36756 | 0.149439 | 0.0747196 | − | 0.997205i | \(-0.476194\pi\) | ||||
0.0747196 | + | 0.997205i | \(0.476194\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.72562 | − | 29.9324i | 0.611444 | − | 1.88183i | ||||
\(254\) | 3.29339 | − | 10.1360i | 0.206646 | − | 0.635991i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 13.0993 | 0.817115 | 0.408557 | − | 0.912733i | \(-0.366032\pi\) | ||||
0.408557 | + | 0.912733i | \(0.366032\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.64459 | + | 2.64795i | 0.226464 | + | 0.164536i | ||||
\(260\) | −1.52478 | − | 0.431859i | −0.0945631 | − | 0.0267827i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.90267 | − | 5.74162i | −0.488228 | − | 0.354719i | ||||
\(263\) | 5.88793 | + | 4.27783i | 0.363065 | + | 0.263782i | 0.754330 | − | 0.656496i | \(-0.227962\pi\) |
−0.391264 | + | 0.920278i | \(0.627962\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.43172 | + | 0.526389i | −0.0879501 | + | 0.0323358i | ||||
\(266\) | −2.92020 | − | 2.12165i | −0.179049 | − | 0.130087i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.71187 | 0.104569 | ||||||||
\(269\) | −0.236058 | − | 0.726511i | −0.0143927 | − | 0.0442962i | 0.943602 | − | 0.331081i | \(-0.107413\pi\) |
−0.957995 | + | 0.286785i | \(0.907413\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.744584 | − | 2.29159i | 0.0452303 | − | 0.139204i | −0.925891 | − | 0.377791i | \(-0.876684\pi\) |
0.971121 | + | 0.238586i | \(0.0766839\pi\) | |||||||
\(272\) | 0.133697 | − | 0.411479i | 0.00810660 | − | 0.0249496i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 15.8069 | 0.954931 | ||||||||
\(275\) | 10.4170 | + | 25.3074i | 0.628170 | + | 1.52610i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.52655 | − | 6.19490i | 0.512311 | − | 0.372215i | −0.301389 | − | 0.953501i | \(-0.597450\pi\) |
0.813699 | + | 0.581286i | \(0.197450\pi\) | |||||||
\(278\) | −3.09449 | + | 9.52387i | −0.185595 | + | 0.571204i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.556738 | + | 0.831221i | −0.0332715 | + | 0.0496750i | ||||
\(281\) | 5.62518 | + | 17.3125i | 0.335570 | + | 1.03278i | 0.966440 | + | 0.256891i | \(0.0826980\pi\) |
−0.630870 | + | 0.775888i | \(0.717302\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.09320 | + | 24.9083i | 0.481091 | + | 1.48064i | 0.837564 | + | 0.546339i | \(0.183979\pi\) |
−0.356473 | + | 0.934305i | \(0.616021\pi\) | |||||||
\(284\) | −1.46215 | − | 1.06231i | −0.0867624 | − | 0.0630366i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.13835 | + | 2.28015i | −0.185575 | + | 0.134828i | ||||
\(287\) | 2.14866 | + | 1.56109i | 0.126831 | + | 0.0921483i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.6018 | − | 9.88232i | 0.800109 | − | 0.581313i | ||||
\(290\) | 4.15803 | − | 6.20802i | 0.244168 | − | 0.364548i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.85527 | + | 11.8653i | 0.225613 | + | 0.694364i | ||||
\(293\) | −23.8637 | −1.39413 | −0.697067 | − | 0.717006i | \(-0.745512\pi\) | ||||
−0.697067 | + | 0.717006i | \(0.745512\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.290557 | + | 7.61015i | 0.0169169 | + | 0.443080i | ||||
\(296\) | −3.11148 | + | 9.57614i | −0.180851 | + | 0.556602i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 12.8438 | − | 9.33157i | 0.744022 | − | 0.540563i | ||||
\(299\) | −4.07519 | −0.235675 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.17341 | 0.182913 | ||||||||
\(302\) | 14.5450 | − | 10.5676i | 0.836973 | − | 0.608097i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.49304 | − | 7.67280i | 0.142986 | − | 0.440065i | ||||
\(305\) | 13.0774 | + | 3.70385i | 0.748808 | + | 0.212082i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.8333 | −1.07487 | −0.537436 | − | 0.843304i | \(-0.680607\pi\) | ||||
−0.537436 | + | 0.843304i | \(0.680607\pi\) | |||||||
\(308\) | 0.756755 | + | 2.32905i | 0.0431201 | + | 0.132710i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.112447 | − | 2.94518i | −0.00638657 | − | 0.167275i | ||||
\(311\) | 24.9160 | − | 18.1025i | 1.41285 | − | 1.02650i | 0.419955 | − | 0.907545i | \(-0.362046\pi\) |
0.992900 | − | 0.118954i | \(-0.0379542\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.8105 | + | 10.0339i | 0.780616 | + | 0.567151i | 0.905164 | − | 0.425063i | \(-0.139748\pi\) |
−0.124548 | + | 0.992214i | \(0.539748\pi\) | |||||||
\(314\) | −16.8273 | + | 12.2258i | −0.949622 | + | 0.689941i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.12553 | + | 5.17700i | 0.400842 | + | 0.291229i | ||||
\(317\) | −8.42991 | − | 25.9446i | −0.473471 | − | 1.45719i | −0.848009 | − | 0.529982i | \(-0.822199\pi\) |
0.374538 | − | 0.927212i | \(-0.377801\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.65186 | − | 17.3946i | −0.316444 | − | 0.973913i | ||||
\(320\) | −2.15144 | − | 0.609344i | −0.120269 | − | 0.0340634i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.794985 | + | 2.44671i | −0.0443028 | + | 0.136350i | ||||
\(323\) | −2.82388 | + | 2.05167i | −0.157125 | + | 0.114158i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.69970 | − | 2.29543i | 0.149752 | − | 0.127327i | ||||
\(326\) | −5.62137 | −0.311339 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.83436 | + | 5.64558i | −0.101286 | + | 0.311725i | ||||
\(329\) | 1.26961 | − | 3.90747i | 0.0699961 | − | 0.215426i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.85194 | + | 11.8551i | 0.211722 | + | 0.651613i | 0.999370 | + | 0.0354879i | \(0.0112985\pi\) |
−0.787648 | + | 0.616125i | \(0.788701\pi\) | |||||||
\(332\) | −1.76437 | −0.0968327 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.64621 | + | 1.19604i | 0.0900768 | + | 0.0654446i | ||||
\(335\) | −2.13018 | + | 3.18040i | −0.116384 | + | 0.173764i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.2892 | + | 18.3737i | 1.37759 | + | 1.00088i | 0.997101 | + | 0.0760905i | \(0.0242438\pi\) |
0.380487 | + | 0.924786i | \(0.375756\pi\) | |||||||
\(338\) | −10.1109 | − | 7.34597i | −0.549958 | − | 0.399568i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.598096 | + | 0.760414i | 0.0324363 | + | 0.0412392i | ||||
\(341\) | −5.83668 | − | 4.24060i | −0.316074 | − | 0.229641i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.17420 | 0.333376 | ||||||||
\(344\) | 2.19180 | + | 6.74568i | 0.118174 | + | 0.363703i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.43432 | − | 4.41438i | 0.0771094 | − | 0.237318i | ||||
\(347\) | −8.23487 | + | 25.3443i | −0.442071 | + | 1.36056i | 0.443593 | + | 0.896228i | \(0.353704\pi\) |
−0.885664 | + | 0.464327i | \(0.846296\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −17.1736 | −0.919283 | −0.459642 | − | 0.888104i | \(-0.652022\pi\) | ||||
−0.459642 | + | 0.888104i | \(0.652022\pi\) | |||||||
\(350\) | −0.851502 | − | 2.06867i | −0.0455147 | − | 0.110575i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.42816 | + | 3.21725i | −0.236022 | + | 0.171480i | ||||
\(353\) | 1.75506 | − | 5.40152i | 0.0934124 | − | 0.287494i | −0.893424 | − | 0.449214i | \(-0.851704\pi\) |
0.986837 | + | 0.161720i | \(0.0517041\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.79303 | − | 1.39455i | 0.201313 | − | 0.0740150i | ||||
\(356\) | 4.30432 | + | 13.2473i | 0.228128 | + | 0.702107i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.14952 | − | 15.8486i | −0.272161 | − | 0.837625i | ||||
\(359\) | 24.1874 | + | 17.5731i | 1.27656 | + | 0.927475i | 0.999443 | − | 0.0333611i | \(-0.0106211\pi\) |
0.277117 | + | 0.960836i | \(0.410621\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −37.2853 | + | 27.0893i | −1.96238 | + | 1.42576i | ||||
\(362\) | 5.32912 | + | 3.87183i | 0.280092 | + | 0.203499i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.256533 | − | 0.186382i | 0.0134460 | − | 0.00976909i | ||||
\(365\) | −26.8412 | − | 7.60213i | −1.40493 | − | 0.397913i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.81431 | + | 27.1277i | 0.460103 | + | 1.41605i | 0.865038 | + | 0.501706i | \(0.167294\pi\) |
−0.404935 | + | 0.914346i | \(0.632706\pi\) | |||||||
\(368\) | −5.75002 | −0.299741 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −13.9192 | − | 17.6967i | −0.723625 | − | 0.920009i | ||||
\(371\) | 0.0943182 | − | 0.290282i | 0.00489676 | − | 0.0150707i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.60399 | − | 1.89191i | 0.134830 | − | 0.0979595i | −0.518326 | − | 0.855183i | \(-0.673445\pi\) |
0.653156 | + | 0.757224i | \(0.273445\pi\) | |||||||
\(374\) | 2.36813 | 0.122453 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 9.18295 | 0.473574 | ||||||||
\(377\) | −1.91593 | + | 1.39201i | −0.0986756 | + | 0.0716920i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.54435 | − | 20.1414i | 0.336161 | − | 1.03460i | −0.629987 | − | 0.776606i | \(-0.716940\pi\) |
0.966147 | − | 0.257990i | \(-0.0830603\pi\) | |||||||
\(380\) | 11.1526 | + | 14.1794i | 0.572119 | + | 0.727386i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.03551 | 0.462297 | ||||||||
\(383\) | 1.68003 | + | 5.17061i | 0.0858456 | + | 0.264206i | 0.984760 | − | 0.173919i | \(-0.0556430\pi\) |
−0.898914 | + | 0.438124i | \(0.855643\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.26869 | − | 1.49223i | −0.268517 | − | 0.0760510i | ||||
\(386\) | −13.1037 | + | 9.52038i | −0.666960 | + | 0.484575i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −10.5922 | − | 7.69567i | −0.537737 | − | 0.390689i | ||||
\(389\) | −21.4966 | + | 15.6182i | −1.08992 | + | 0.791873i | −0.979386 | − | 0.201999i | \(-0.935256\pi\) |
−0.110534 | + | 0.993872i | \(0.535256\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.01265 | + | 1.46227i | 0.101784 | + | 0.0739504i | ||||
\(392\) | 2.10126 | + | 6.46702i | 0.106130 | + | 0.326634i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.93651 | + | 9.03765i | 0.147939 | + | 0.455310i | ||||
\(395\) | −18.4847 | + | 6.79611i | −0.930067 | + | 0.341949i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.315674 | − | 0.971546i | 0.0158432 | − | 0.0487605i | −0.942822 | − | 0.333296i | \(-0.891839\pi\) |
0.958666 | + | 0.284535i | \(0.0918393\pi\) | |||||||
\(398\) | 13.9698 | − | 10.1496i | 0.700241 | − | 0.508755i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.80922 | − | 3.23880i | 0.190461 | − | 0.161940i | ||||
\(401\) | −22.2689 | −1.11205 | −0.556027 | − | 0.831164i | \(-0.687675\pi\) | ||||
−0.556027 | + | 0.831164i | \(0.687675\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.288672 | + | 0.888440i | −0.0143798 | + | 0.0442563i | ||||
\(404\) | 3.67921 | − | 11.3234i | 0.183047 | − | 0.563362i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.461991 | + | 1.42186i | 0.0229282 | + | 0.0705658i | ||||
\(407\) | −55.1124 | −2.73182 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.27376 | − | 1.65198i | −0.112430 | − | 0.0816852i | 0.530150 | − | 0.847904i | \(-0.322136\pi\) |
−0.642580 | + | 0.766219i | \(0.722136\pi\) | |||||||
\(410\) | −8.20602 | − | 10.4331i | −0.405267 | − | 0.515252i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.35282 | + | 3.16251i | 0.214448 | + | 0.155806i | ||||
\(413\) | −1.23279 | − | 0.895676i | −0.0606617 | − | 0.0440733i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.19550 | − | 3.27793i | 0.107773 | − | 0.160907i | ||||
\(416\) | 0.573372 | + | 0.416579i | 0.0281119 | + | 0.0204245i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 44.1584 | 2.15986 | ||||||||
\(419\) | −11.9334 | − | 36.7271i | −0.582983 | − | 1.79424i | −0.607222 | − | 0.794532i | \(-0.707716\pi\) |
0.0242384 | − | 0.999706i | \(-0.492284\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.31871 | + | 19.4470i | −0.307955 | + | 0.947788i | 0.670603 | + | 0.741816i | \(0.266035\pi\) |
−0.978558 | + | 0.205971i | \(0.933965\pi\) | |||||||
\(422\) | −0.452775 | + | 1.39350i | −0.0220407 | + | 0.0678344i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.682191 | 0.0331301 | ||||||||
\(425\) | −2.15697 | + | 0.164947i | −0.104629 | + | 0.00800112i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.20017 | + | 1.59852i | −0.106474 | + | 0.0773576i | ||||
\(428\) | −4.30198 | + | 13.2401i | −0.207944 | + | 0.639985i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −15.2598 | − | 4.32197i | −0.735893 | − | 0.208424i | ||||
\(431\) | −6.40476 | − | 19.7118i | −0.308506 | − | 0.949485i | −0.978345 | − | 0.206979i | \(-0.933637\pi\) |
0.669839 | − | 0.742506i | \(-0.266363\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.302540 | + | 0.931123i | 0.0145392 | + | 0.0447469i | 0.958063 | − | 0.286558i | \(-0.0925111\pi\) |
−0.943524 | + | 0.331305i | \(0.892511\pi\) | |||||||
\(434\) | 0.477098 | + | 0.346632i | 0.0229014 | + | 0.0166389i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.60018 | − | 4.06877i | 0.268200 | − | 0.194859i | ||||
\(437\) | 37.5297 | + | 27.2669i | 1.79529 | + | 1.30435i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 24.2110 | − | 17.5904i | 1.15553 | − | 0.839542i | 0.166324 | − | 0.986071i | \(-0.446810\pi\) |
0.989206 | + | 0.146529i | \(0.0468103\pi\) | |||||||
\(440\) | −0.466951 | − | 12.2302i | −0.0222610 | − | 0.583053i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.0947550 | − | 0.291626i | −0.00450704 | − | 0.0138712i | ||||
\(443\) | 24.4581 | 1.16204 | 0.581020 | − | 0.813889i | \(-0.302654\pi\) | ||||
0.581020 | + | 0.813889i | \(0.302654\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −29.9676 | − | 8.48760i | −1.42060 | − | 0.402351i | ||||
\(446\) | 5.17646 | − | 15.9315i | 0.245113 | − | 0.754379i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.361964 | − | 0.262982i | 0.0171012 | − | 0.0124247i | ||||
\(449\) | −14.0251 | −0.661886 | −0.330943 | − | 0.943651i | \(-0.607367\pi\) | ||||
−0.330943 | + | 0.943651i | \(0.607367\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −32.4914 | −1.52996 | ||||||||
\(452\) | −11.1677 | + | 8.11381i | −0.525285 | + | 0.381642i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.64618 | − | 20.4548i | 0.311921 | − | 0.959993i | ||||
\(455\) | 0.0270515 | + | 0.708525i | 0.00126820 | + | 0.0332161i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.2858 | 0.808595 | 0.404298 | − | 0.914627i | \(-0.367516\pi\) | ||||
0.404298 | + | 0.914627i | \(0.367516\pi\) | |||||||
\(458\) | 5.13908 | + | 15.8165i | 0.240133 | + | 0.739055i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7.15505 | − | 10.6826i | 0.333606 | − | 0.498081i | ||||
\(461\) | −29.2840 | + | 21.2761i | −1.36389 | + | 0.990925i | −0.365705 | + | 0.930731i | \(0.619172\pi\) |
−0.998187 | + | 0.0601941i | \(0.980828\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.6981 | + | 11.4054i | 0.729554 | + | 0.530052i | 0.889422 | − | 0.457086i | \(-0.151107\pi\) |
−0.159868 | + | 0.987138i | \(0.551107\pi\) | |||||||
\(464\) | −2.70335 | + | 1.96410i | −0.125500 | + | 0.0911808i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17.6696 | − | 12.8377i | −0.818530 | − | 0.594697i | ||||
\(467\) | 2.20831 | + | 6.79649i | 0.102189 | + | 0.314504i | 0.989060 | − | 0.147512i | \(-0.0471264\pi\) |
−0.886872 | + | 0.462016i | \(0.847126\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.236680 | − | 0.728426i | −0.0109289 | − | 0.0336356i | ||||
\(470\) | −11.4268 | + | 17.0605i | −0.527080 | + | 0.786942i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.05246 | − | 3.23915i | 0.0484436 | − | 0.149094i | ||||
\(473\) | −31.4082 | + | 22.8194i | −1.44415 | + | 1.04924i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −40.2209 | + | 3.07576i | −1.84546 | + | 0.141125i | ||||
\(476\) | −0.193575 | −0.00887247 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.00811 | + | 6.18031i | −0.0918486 | + | 0.282681i | ||||
\(479\) | 5.88784 | − | 18.1209i | 0.269022 | − | 0.827965i | −0.721717 | − | 0.692188i | \(-0.756647\pi\) |
0.990739 | − | 0.135777i | \(-0.0433531\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.20519 | + | 6.78687i | 0.100548 | + | 0.309455i | ||||
\(482\) | −20.2473 | −0.922239 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.3384 | − | 11.1440i | −0.697198 | − | 0.506544i | ||||
\(485\) | 27.4778 | − | 10.1025i | 1.24770 | − | 0.458731i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.0136 | − | 14.5407i | −0.906903 | − | 0.658904i | 0.0333265 | − | 0.999445i | \(-0.489390\pi\) |
−0.940230 | + | 0.340541i | \(0.889390\pi\) | |||||||
\(488\) | −4.91755 | − | 3.57281i | −0.222607 | − | 0.161733i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.6294 | − | 4.14343i | −0.660890 | − | 0.187181i | ||||
\(491\) | 8.43327 | + | 6.12713i | 0.380588 | + | 0.276513i | 0.761588 | − | 0.648062i | \(-0.224420\pi\) |
−0.381000 | + | 0.924575i | \(0.624420\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.44572 | 0.0651120 | ||||||||
\(494\) | −1.76689 | − | 5.43792i | −0.0794960 | − | 0.244664i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.407310 | + | 1.25357i | −0.0182888 | + | 0.0562870i | ||||
\(497\) | −0.249875 | + | 0.769036i | −0.0112084 | + | 0.0344960i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −43.6293 | −1.95311 | −0.976557 | − | 0.215259i | \(-0.930940\pi\) | ||||
−0.976557 | + | 0.215259i | \(0.930940\pi\) | |||||||
\(500\) | 1.27718 | + | 11.1072i | 0.0571174 | + | 0.496727i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.91540 | − | 1.39162i | 0.0854884 | − | 0.0621110i | ||||
\(503\) | 8.61533 | − | 26.5153i | 0.384139 | − | 1.18226i | −0.552965 | − | 0.833205i | \(-0.686504\pi\) |
0.937103 | − | 0.349052i | \(-0.113496\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 16.4589 | + | 20.9257i | 0.732413 | + | 0.931183i | ||||
\(506\) | −9.72562 | − | 29.9324i | −0.432357 | − | 1.33066i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.29339 | − | 10.1360i | −0.146121 | − | 0.449713i | ||||
\(509\) | 21.3896 | + | 15.5405i | 0.948078 | + | 0.688819i | 0.950352 | − | 0.311178i | \(-0.100724\pi\) |
−0.00227352 | + | 0.999997i | \(0.500724\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.51583 | − | 3.28094i | 0.199768 | − | 0.145140i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.5976 | − | 7.69960i | 0.467440 | − | 0.339615i | ||||
\(515\) | −11.2919 | + | 4.15159i | −0.497580 | + | 0.182941i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.5321 | + | 47.8029i | 0.683101 | + | 2.10237i | ||||
\(518\) | 4.50497 | 0.197937 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.48742 | + | 0.546865i | −0.0652275 | + | 0.0239816i | ||||
\(521\) | 3.63782 | − | 11.1961i | 0.159376 | − | 0.490509i | −0.839202 | − | 0.543820i | \(-0.816977\pi\) |
0.998578 | + | 0.0533110i | \(0.0169775\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.22035 | − | 3.06626i | 0.184543 | − | 0.134078i | −0.491678 | − | 0.870777i | \(-0.663616\pi\) |
0.676221 | + | 0.736699i | \(0.263616\pi\) | |||||||
\(524\) | −9.76823 | −0.426727 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.27788 | 0.317331 | ||||||||
\(527\) | 0.461361 | − | 0.335199i | 0.0200972 | − | 0.0146015i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.10956 | − | 9.57023i | 0.135198 | − | 0.416097i | ||||
\(530\) | −0.848886 | + | 1.26740i | −0.0368732 | + | 0.0550525i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.60957 | −0.156495 | ||||||||
\(533\) | 1.30006 | + | 4.00118i | 0.0563119 | + | 0.173310i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.2449 | − | 24.4678i | −0.832030 | − | 1.05783i | ||||
\(536\) | 1.38494 | − | 1.00621i | 0.0598201 | − | 0.0434619i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.618008 | − | 0.449009i | −0.0266442 | − | 0.0193581i | ||||
\(539\) | −30.1107 | + | 21.8767i | −1.29696 | + | 0.942296i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.91189 | + | 7.20141i | 0.426145 | + | 0.309613i | 0.780106 | − | 0.625648i | \(-0.215165\pi\) |
−0.353960 | + | 0.935260i | \(0.615165\pi\) | |||||||
\(542\) | −0.744584 | − | 2.29159i | −0.0319826 | − | 0.0984324i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.133697 | − | 0.411479i | −0.00573223 | − | 0.0176420i | ||||
\(545\) | 0.590541 | + | 15.4673i | 0.0252960 | + | 0.662544i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.7782 | + | 33.1719i | −0.460842 | + | 1.41833i | 0.403295 | + | 0.915070i | \(0.367865\pi\) |
−0.864137 | + | 0.503256i | \(0.832135\pi\) | |||||||
\(548\) | 12.7881 | − | 9.29107i | 0.546279 | − | 0.396895i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 23.3029 | + | 14.3512i | 0.993639 | + | 0.611936i | ||||
\(551\) | 26.9582 | 1.14846 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.21772 | − | 3.74777i | 0.0517829 | − | 0.159371i | ||||
\(554\) | 3.25685 | − | 10.0236i | 0.138370 | − | 0.425860i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.09449 | + | 9.52387i | 0.131236 | + | 0.403902i | ||||
\(557\) | 9.78468 | 0.414590 | 0.207295 | − | 0.978278i | \(-0.433534\pi\) | ||||
0.207295 | + | 0.978278i | \(0.433534\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.06683 | + | 2.95472i | 0.172009 | + | 0.124972i | ||||
\(560\) | 0.0381692 | + | 0.999715i | 0.00161294 | + | 0.0422456i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.7269 | + | 10.6997i | 0.621218 | + | 0.451341i | ||||
\(563\) | 15.8610 | + | 11.5237i | 0.668460 | + | 0.485665i | 0.869510 | − | 0.493916i | \(-0.164435\pi\) |
−0.201049 | + | 0.979581i | \(0.564435\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.17764 | − | 30.8443i | −0.0495436 | − | 1.29763i | ||||
\(566\) | 21.1883 | + | 15.3942i | 0.890609 | + | 0.647065i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.80731 | −0.0758331 | ||||||||
\(569\) | −4.27880 | − | 13.1688i | −0.179377 | − | 0.552064i | 0.820430 | − | 0.571747i | \(-0.193734\pi\) |
−0.999806 | + | 0.0196831i | \(0.993734\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.28381 | + | 19.3396i | −0.262969 | + | 0.809336i | 0.729185 | + | 0.684317i | \(0.239899\pi\) |
−0.992154 | + | 0.125020i | \(0.960101\pi\) | |||||||
\(572\) | −1.19874 | + | 3.68936i | −0.0501220 | + | 0.154260i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.65589 | 0.110855 | ||||||||
\(575\) | 10.9433 | + | 26.5860i | 0.456366 | + | 1.10871i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.3717 | + | 18.4337i | −1.05624 | + | 0.767403i | −0.973389 | − | 0.229159i | \(-0.926402\pi\) |
−0.0828507 | + | 0.996562i | \(0.526402\pi\) | |||||||
\(578\) | 5.19544 | − | 15.9899i | 0.216102 | − | 0.665094i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.285069 | − | 7.46642i | −0.0118368 | − | 0.310026i | ||||
\(581\) | 0.243939 | + | 0.750766i | 0.0101203 | + | 0.0311470i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.15386 | + | 3.55122i | 0.0477881 | + | 0.147077i | ||||
\(584\) | 10.0932 | + | 7.33316i | 0.417661 | + | 0.303448i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19.3062 | + | 14.0267i | −0.797530 | + | 0.579439i | ||||
\(587\) | −18.9945 | − | 13.8003i | −0.783985 | − | 0.569598i | 0.122187 | − | 0.992507i | \(-0.461009\pi\) |
−0.906172 | + | 0.422909i | \(0.861009\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.60296 | − | 6.25042i | 0.354479 | − | 0.257544i | ||||
\(590\) | 4.70820 | + | 5.98596i | 0.193834 | + | 0.246438i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.11148 | + | 9.57614i | 0.127881 | + | 0.393577i | ||||
\(593\) | 21.9658 | 0.902025 | 0.451013 | − | 0.892518i | \(-0.351063\pi\) | ||||
0.451013 | + | 0.892518i | \(0.351063\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.240875 | − | 0.359631i | 0.00987491 | − | 0.0147434i | ||||
\(596\) | 4.90590 | − | 15.0988i | 0.200953 | − | 0.618471i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.29690 | + | 2.39534i | −0.134820 | + | 0.0979527i | ||||
\(599\) | −19.6941 | −0.804680 | −0.402340 | − | 0.915490i | \(-0.631803\pi\) | ||||
−0.402340 | + | 0.915490i | \(0.631803\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.4764 | 0.549715 | 0.274857 | − | 0.961485i | \(-0.411369\pi\) | ||||
0.274857 | + | 0.961485i | \(0.411369\pi\) | |||||||
\(602\) | 2.56735 | − | 1.86529i | 0.104637 | − | 0.0760234i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.55571 | − | 17.0987i | 0.226059 | − | 0.695737i | ||||
\(605\) | 39.7901 | − | 14.6293i | 1.61770 | − | 0.594764i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 46.7224 | 1.89641 | 0.948203 | − | 0.317666i | \(-0.102899\pi\) | ||||
0.948203 | + | 0.317666i | \(0.102899\pi\) | |||||||
\(608\) | −2.49304 | − | 7.67280i | −0.101106 | − | 0.311173i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 12.7569 | − | 4.69021i | 0.516511 | − | 0.189901i | ||||
\(611\) | 5.26525 | − | 3.82543i | 0.213009 | − | 0.154760i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.9461 | + | 15.2182i | 0.846006 | + | 0.614659i | 0.924042 | − | 0.382291i | \(-0.124865\pi\) |
−0.0780360 | + | 0.996951i | \(0.524865\pi\) | |||||||
\(614\) | −15.2364 | + | 11.0699i | −0.614893 | + | 0.446746i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.98121 | + | 1.43943i | 0.0798252 | + | 0.0579964i | ||||
\(617\) | −11.0219 | − | 33.9219i | −0.443725 | − | 1.36565i | −0.883876 | − | 0.467722i | \(-0.845075\pi\) |
0.440150 | − | 0.897924i | \(-0.354925\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.57307 | − | 10.9968i | −0.143614 | − | 0.441998i | 0.853216 | − | 0.521557i | \(-0.174649\pi\) |
−0.996830 | + | 0.0795594i | \(0.974649\pi\) | |||||||
\(620\) | −1.82210 | − | 2.31660i | −0.0731774 | − | 0.0930370i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.51705 | − | 29.2905i | 0.381599 | − | 1.17444i | ||||
\(623\) | 5.04182 | − | 3.66309i | 0.201996 | − | 0.146759i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.2246 | − | 11.4484i | −0.888985 | − | 0.457936i | ||||
\(626\) | 17.0707 | 0.682283 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.42747 | + | 19.7817i | −0.256484 | + | 0.789377i | ||||
\(629\) | 1.34619 | − | 4.14316i | 0.0536762 | − | 0.165198i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.207791 | − | 0.639515i | −0.00827202 | − | 0.0254587i | 0.946835 | − | 0.321719i | \(-0.104261\pi\) |
−0.955107 | + | 0.296260i | \(0.904261\pi\) | |||||||
\(632\) | 8.80763 | 0.350349 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −22.0698 | − | 16.0346i | −0.876504 | − | 0.636817i | ||||
\(635\) | 22.9293 | + | 6.49417i | 0.909921 | + | 0.257713i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.89883 | + | 2.83266i | 0.154477 | + | 0.112234i | ||||
\(638\) | −14.7968 | − | 10.7505i | −0.585810 | − | 0.425616i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.09872 | + | 0.771616i | −0.0829590 | + | 0.0305008i | ||||
\(641\) | 3.29243 | + | 2.39209i | 0.130043 | + | 0.0944820i | 0.650905 | − | 0.759159i | \(-0.274389\pi\) |
−0.520862 | + | 0.853641i | \(0.674389\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −23.9998 | −0.946458 | −0.473229 | − | 0.880939i | \(-0.656912\pi\) | ||||
−0.473229 | + | 0.880939i | \(0.656912\pi\) | |||||||
\(644\) | 0.794985 | + | 2.44671i | 0.0313268 | + | 0.0964140i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.07863 | + | 3.31967i | −0.0424380 | + | 0.130611i | ||||
\(647\) | −5.10597 | + | 15.7146i | −0.200737 | + | 0.617804i | 0.799125 | + | 0.601165i | \(0.205297\pi\) |
−0.999862 | + | 0.0166387i | \(0.994703\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 18.6419 | 0.731759 | ||||||||
\(650\) | 0.834881 | − | 3.44388i | 0.0327467 | − | 0.135080i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.54778 | + | 3.30416i | −0.178105 | + | 0.129401i | ||||
\(653\) | 7.91588 | − | 24.3626i | 0.309772 | − | 0.953381i | −0.668081 | − | 0.744089i | \(-0.732884\pi\) |
0.977853 | − | 0.209292i | \(-0.0671160\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.1551 | − | 18.1479i | 0.474940 | − | 0.709095i | ||||
\(656\) | 1.83436 | + | 5.64558i | 0.0716198 | + | 0.220423i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.26961 | − | 3.90747i | −0.0494947 | − | 0.152329i | ||||
\(659\) | −12.5375 | − | 9.10904i | −0.488392 | − | 0.354838i | 0.316173 | − | 0.948701i | \(-0.397602\pi\) |
−0.804566 | + | 0.593864i | \(0.797602\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.2492 | − | 8.89955i | 0.476438 | − | 0.346152i | −0.323507 | − | 0.946226i | \(-0.604862\pi\) |
0.799945 | + | 0.600073i | \(0.204862\pi\) | |||||||
\(662\) | 10.0845 | + | 7.32683i | 0.391946 | + | 0.284765i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.42741 | + | 1.03707i | −0.0553942 | + | 0.0402463i | ||||
\(665\) | 4.49157 | − | 6.70601i | 0.174176 | − | 0.260048i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.93739 | − | 18.2734i | −0.229897 | − | 0.707549i | ||||
\(668\) | 2.03483 | 0.0787300 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.146042 | + | 3.82508i | 0.00564210 | + | 0.147776i | ||||
\(671\) | 10.2811 | − | 31.6419i | 0.396897 | − | 1.22152i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.8814 | − | 16.6243i | 0.882012 | − | 0.640819i | −0.0517712 | − | 0.998659i | \(-0.516487\pi\) |
0.933783 | + | 0.357840i | \(0.116487\pi\) | |||||||
\(674\) | 31.2591 | 1.20406 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.4977 | −0.480681 | ||||||||
\(677\) | 32.8594 | − | 23.8737i | 1.26289 | − | 0.917542i | 0.263992 | − | 0.964525i | \(-0.414961\pi\) |
0.998896 | + | 0.0469832i | \(0.0149607\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.81016 | + | 5.57111i | −0.0694677 | + | 0.213799i | ||||
\(680\) | 0.930830 | + | 0.263635i | 0.0356957 | + | 0.0101100i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.21453 | −0.276259 | ||||||||
\(683\) | 10.4076 | + | 32.0312i | 0.398235 | + | 1.22564i | 0.926414 | + | 0.376507i | \(0.122875\pi\) |
−0.528179 | + | 0.849133i | \(0.677125\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.34851 | + | 35.3196i | 0.0515238 | + | 1.34949i | ||||
\(686\) | 4.99503 | − | 3.62910i | 0.190711 | − | 0.138560i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.73822 | + | 4.16906i | 0.218768 | + | 0.158944i | ||||
\(689\) | 0.391149 | − | 0.284186i | 0.0149016 | − | 0.0108266i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.02540 | − | 6.55734i | −0.343342 | − | 0.249453i | 0.402728 | − | 0.915320i | \(-0.368062\pi\) |
−0.746071 | + | 0.665867i | \(0.768062\pi\) | |||||||
\(692\) | −1.43432 | − | 4.41438i | −0.0545246 | − | 0.167809i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.23487 | + | 25.3443i | 0.312592 | + | 0.962058i | ||||
\(695\) | −21.5445 | − | 6.10197i | −0.817230 | − | 0.231461i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.793644 | − | 2.44258i | 0.0300614 | − | 0.0925195i | ||||
\(698\) | −13.8938 | + | 10.0944i | −0.525886 | + | 0.382079i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.90481 | − | 1.17309i | −0.0719951 | − | 0.0443384i | ||||
\(701\) | −11.1999 | −0.423014 | −0.211507 | − | 0.977377i | \(-0.567837\pi\) | ||||
−0.211507 | + | 0.977377i | \(0.567837\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 25.1023 | − | 77.2570i | 0.946753 | − | 2.91380i | ||||
\(704\) | −1.69141 | + | 5.20561i | −0.0637473 | + | 0.196194i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.75506 | − | 5.40152i | −0.0660526 | − | 0.203289i | ||||
\(707\) | −5.32695 | −0.200341 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.8595 | + | 7.88987i | 0.407836 | + | 0.296310i | 0.772725 | − | 0.634741i | \(-0.218893\pi\) |
−0.364889 | + | 0.931051i | \(0.618893\pi\) | |||||||
\(710\) | 2.24893 | − | 3.35770i | 0.0844009 | − | 0.126012i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 11.2689 | + | 8.18730i | 0.422318 | + | 0.306832i | ||||
\(713\) | −6.13154 | − | 4.45483i | −0.229628 | − | 0.166835i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.36259 | − | 6.81794i | −0.200550 | − | 0.254977i | ||||
\(716\) | −13.4816 | − | 9.79497i | −0.503832 | − | 0.366055i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 29.8972 | 1.11575 | ||||||||
\(719\) | −13.5053 | − | 41.5652i | −0.503664 | − | 1.55012i | −0.803004 | − | 0.595973i | \(-0.796766\pi\) |
0.299340 | − | 0.954147i | \(-0.403234\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.743880 | − | 2.28943i | 0.0277035 | − | 0.0852627i | ||||
\(722\) | −14.2417 | + | 43.8315i | −0.530022 | + | 1.63124i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.58715 | 0.244809 | ||||||||
\(725\) | 14.2262 | + | 8.76125i | 0.528347 | + | 0.325385i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.3509 | − | 11.1531i | 0.569334 | − | 0.413646i | −0.265529 | − | 0.964103i | \(-0.585547\pi\) |
0.834863 | + | 0.550457i | \(0.185547\pi\) | |||||||
\(728\) | 0.0979870 | − | 0.301573i | 0.00363164 | − | 0.0111770i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −26.1834 | + | 9.62661i | −0.969091 | + | 0.356297i | ||||
\(731\) | −0.948293 | − | 2.91855i | −0.0350739 | − | 0.107946i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 13.8676 | + | 42.6802i | 0.512213 | + | 1.57643i | 0.788297 | + | 0.615295i | \(0.210963\pi\) |
−0.276085 | + | 0.961133i | \(0.589037\pi\) | |||||||
\(734\) | 23.0762 | + | 16.7658i | 0.851757 | + | 0.618837i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.65186 | + | 3.37978i | −0.171470 | + | 0.124580i | ||||
\(737\) | 7.58045 | + | 5.50752i | 0.279230 | + | 0.202872i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.55621 | − | 4.03683i | 0.204389 | − | 0.148497i | −0.480883 | − | 0.876785i | \(-0.659684\pi\) |
0.685271 | + | 0.728288i | \(0.259684\pi\) | |||||||
\(740\) | −21.6628 | − | 6.13546i | −0.796339 | − | 0.225544i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.0943182 | − | 0.290282i | −0.00346253 | − | 0.0106566i | ||||
\(743\) | 35.5994 | 1.30602 | 0.653008 | − | 0.757351i | \(-0.273507\pi\) | ||||
0.653008 | + | 0.757351i | \(0.273507\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 21.9466 | + | 27.9026i | 0.804060 | + | 1.02227i | ||||
\(746\) | 0.994637 | − | 3.06118i | 0.0364162 | − | 0.112078i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.91586 | − | 1.39195i | 0.0700508 | − | 0.0508949i | ||||
\(749\) | 6.22864 | 0.227589 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −20.1261 | −0.734414 | −0.367207 | − | 0.930139i | \(-0.619686\pi\) | ||||
−0.367207 | + | 0.930139i | \(0.619686\pi\) | |||||||
\(752\) | 7.42916 | − | 5.39760i | 0.270914 | − | 0.196830i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.731821 | + | 2.25231i | −0.0266514 | + | 0.0820245i | ||||
\(755\) | 24.8535 | + | 31.5985i | 0.904512 | + | 1.14999i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.7503 | −0.754183 | −0.377091 | − | 0.926176i | \(-0.623076\pi\) | ||||
−0.377091 | + | 0.926176i | \(0.623076\pi\) | |||||||
\(758\) | −6.54435 | − | 20.1414i | −0.237702 | − | 0.731570i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 17.3571 | + | 4.91598i | 0.629608 | + | 0.178321i | ||||
\(761\) | −6.20460 | + | 4.50791i | −0.224917 | + | 0.163412i | −0.694537 | − | 0.719457i | \(-0.744391\pi\) |
0.469620 | + | 0.882868i | \(0.344391\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.50559 | − | 1.82042i | −0.0907083 | − | 0.0659035i | ||||
\(764\) | 7.30988 | − | 5.31094i | 0.264462 | − | 0.192143i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.39838 | + | 3.19561i | 0.158920 | + | 0.115462i | ||||
\(767\) | −0.745909 | − | 2.29567i | −0.0269332 | − | 0.0828919i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.130256 | − | 0.400887i | −0.00469715 | − | 0.0144563i | 0.948680 | − | 0.316236i | \(-0.102419\pi\) |
−0.953378 | + | 0.301780i | \(0.902419\pi\) | |||||||
\(770\) | −5.13957 | + | 1.88962i | −0.185217 | + | 0.0680971i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.00516 | + | 15.4043i | −0.180140 | + | 0.554413i | ||||
\(773\) | 30.4631 | − | 22.1327i | 1.09568 | − | 0.796059i | 0.115332 | − | 0.993327i | \(-0.463207\pi\) |
0.980350 | + | 0.197268i | \(0.0632069\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.57123 | − | 0.502513i | 0.236046 | − | 0.0180508i | ||||
\(776\) | −13.0927 | −0.469999 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.21096 | + | 25.2707i | −0.294377 | + | 0.906000i | ||||
\(779\) | 14.7990 | − | 45.5466i | 0.530229 | − | 1.63188i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.05690 | − | 9.40816i | −0.109384 | − | 0.336651i | ||||
\(782\) | 2.48777 | 0.0889625 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.50117 | + | 3.99684i | 0.196470 | + | 0.142744i | ||||
\(785\) | −28.7533 | − | 36.5567i | −1.02625 | − | 1.30476i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.58854 | − | 2.60723i | −0.127918 | − | 0.0929377i | 0.521987 | − | 0.852954i | \(-0.325191\pi\) |
−0.649904 | + | 0.760016i | \(0.725191\pi\) | |||||||
\(788\) | 7.68788 | + | 5.58557i | 0.273870 | + | 0.198978i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −10.9598 | + | 16.3632i | −0.389932 | + | 0.582177i | ||||
\(791\) | 4.99656 | + | 3.63021i | 0.177657 | + | 0.129076i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.30794 | −0.152980 | ||||||||
\(794\) | −0.315674 | − | 0.971546i | −0.0112029 | − | 0.0344789i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.33598 | − | 16.4224i | 0.189129 | − | 0.582078i | ||||
\(797\) | −3.51514 | + | 10.8185i | −0.124513 | + | 0.383211i | −0.993812 | − | 0.111075i | \(-0.964571\pi\) |
0.869299 | + | 0.494286i | \(0.164571\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.97304 | −0.140556 | ||||||||
\(800\) | 1.17800 | − | 4.85925i | 0.0416486 | − | 0.171800i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −18.0159 | + | 13.0893i | −0.636163 | + | 0.462200i | ||||
\(803\) | −21.1018 | + | 64.9448i | −0.744668 | + | 2.29185i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.53485 | − | 1.56761i | −0.195078 | − | 0.0552512i | ||||
\(806\) | 0.288672 | + | 0.888440i | 0.0101680 | + | 0.0312940i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.67921 | − | 11.3234i | −0.129434 | − | 0.398357i | ||||
\(809\) | 15.2356 | + | 11.0693i | 0.535655 | + | 0.389176i | 0.822469 | − | 0.568810i | \(-0.192596\pi\) |
−0.286814 | + | 0.957986i | \(0.592596\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.52006 | + | 2.55748i | −0.123606 | + | 0.0898051i | −0.647871 | − | 0.761750i | \(-0.724340\pi\) |
0.524265 | + | 0.851555i | \(0.324340\pi\) | |||||||
\(812\) | 1.20951 | + | 0.878759i | 0.0424454 | + | 0.0308384i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −44.5869 | + | 32.3943i | −1.56277 | + | 1.13542i | ||||
\(815\) | −0.479565 | − | 12.5606i | −0.0167984 | − | 0.439979i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −17.6827 | − | 54.4219i | −0.618641 | − | 1.90398i | ||||
\(818\) | −2.81052 | −0.0982674 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −12.7712 | − | 3.61714i | −0.445990 | − | 0.126316i | ||||
\(821\) | −14.6214 | + | 45.0000i | −0.510290 | + | 1.57051i | 0.281402 | + | 0.959590i | \(0.409201\pi\) |
−0.791692 | + | 0.610921i | \(0.790799\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −29.8018 | + | 21.6523i | −1.03882 | + | 0.754750i | −0.970056 | − | 0.242882i | \(-0.921907\pi\) |
−0.0687689 | + | 0.997633i | \(0.521907\pi\) | |||||||
\(824\) | 5.38038 | 0.187434 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.52381 | −0.0530203 | ||||||||
\(827\) | 4.98478 | − | 3.62165i | 0.173338 | − | 0.125937i | −0.497734 | − | 0.867330i | \(-0.665834\pi\) |
0.671072 | + | 0.741393i | \(0.265834\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 3.41535 | − | 10.5114i | 0.118620 | − | 0.365074i | −0.874065 | − | 0.485809i | \(-0.838525\pi\) |
0.992685 | + | 0.120735i | \(0.0385250\pi\) | |||||||
\(830\) | −0.150521 | − | 3.94239i | −0.00522466 | − | 0.136842i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.708727 | 0.0245707 | ||||||||
\(833\) | −0.909119 | − | 2.79798i | −0.0314991 | − | 0.0969443i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.53205 | + | 3.78040i | −0.0876251 | + | 0.130826i | ||||
\(836\) | 35.7249 | − | 25.9556i | 1.23557 | − | 0.897695i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −31.2420 | − | 22.6986i | −1.07924 | − | 0.784111i | ||||
\(839\) | −23.7557 | + | 17.2596i | −0.820139 | + | 0.595866i | −0.916752 | − | 0.399456i | \(-0.869199\pi\) |
0.0966132 | + | 0.995322i | \(0.469199\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.4282 | + | 10.4827i | 0.497525 | + | 0.361473i | ||||
\(842\) | 6.31871 | + | 19.4470i | 0.217757 | + | 0.670187i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.452775 | + | 1.39350i | 0.0155852 | + | 0.0479662i | ||||
\(845\) | 15.5516 | − | 23.2188i | 0.534990 | − | 0.798751i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.62127 | + | 8.06742i | −0.0900677 | + | 0.277200i | ||||
\(848\) | 0.551904 | − | 0.400982i | 0.0189525 | − | 0.0137698i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.64807 | + | 1.40128i | −0.0565285 | + | 0.0480636i | ||||
\(851\) | −57.8967 | −1.98467 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.97089 | + | 27.6096i | −0.307157 | + | 0.945333i | 0.671706 | + | 0.740818i | \(0.265562\pi\) |
−0.978863 | + | 0.204515i | \(0.934438\pi\) | |||||||
\(854\) | −0.840390 | + | 2.58645i | −0.0287575 | + | 0.0885066i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.30198 | + | 13.2401i | 0.147039 | + | 0.452538i | ||||
\(857\) | −11.5950 | −0.396076 | −0.198038 | − | 0.980194i | \(-0.563457\pi\) | ||||
−0.198038 | + | 0.980194i | \(0.563457\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.87734 | − | 2.09051i | −0.0981737 | − | 0.0713274i | 0.537615 | − | 0.843190i | \(-0.319325\pi\) |
−0.635789 | + | 0.771863i | \(0.719325\pi\) | |||||||
\(860\) | −14.8858 | + | 5.47294i | −0.507603 | + | 0.186626i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.7679 | − | 12.1826i | −0.571116 | − | 0.414940i | ||||
\(863\) | 14.3646 | + | 10.4365i | 0.488975 | + | 0.355261i | 0.804790 | − | 0.593559i | \(-0.202278\pi\) |
−0.315815 | + | 0.948821i | \(0.602278\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.98602 | + | 2.82830i | 0.339535 | + | 0.0961651i | ||||
\(866\) | 0.792061 | + | 0.575466i | 0.0269153 | + | 0.0195551i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.589726 | 0.0200166 | ||||||||
\(869\) | 14.8973 | + | 45.8491i | 0.505356 | + | 1.55533i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.374915 | − | 1.15387i | 0.0127035 | − | 0.0390974i | ||||
\(872\) | 2.13908 | − | 6.58341i | 0.0724384 | − | 0.222942i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 46.3892 | 1.56914 | ||||||||
\(875\) | 4.54967 | − | 2.07911i | 0.153807 | − | 0.0702867i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.1476 | − | 13.9115i | 0.646568 | − | 0.469759i | −0.215532 | − | 0.976497i | \(-0.569149\pi\) |
0.862100 | + | 0.506737i | \(0.169149\pi\) | |||||||
\(878\) | 9.24780 | − | 28.4618i | 0.312098 | − | 0.960539i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −7.56651 | − | 9.61999i | −0.255067 | − | 0.324290i | ||||
\(881\) | 8.46021 | + | 26.0378i | 0.285032 | + | 0.877237i | 0.986389 | + | 0.164427i | \(0.0525776\pi\) |
−0.701358 | + | 0.712810i | \(0.747422\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.2222 | − | 43.7714i | −0.478615 | − | 1.47303i | −0.841020 | − | 0.541005i | \(-0.818044\pi\) |
0.362404 | − | 0.932021i | \(-0.381956\pi\) | |||||||
\(884\) | −0.248072 | − | 0.180235i | −0.00834356 | − | 0.00606195i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 19.7870 | − | 14.3761i | 0.664758 | − | 0.482975i | ||||
\(887\) | −5.80575 | − | 4.21812i | −0.194938 | − | 0.141631i | 0.486035 | − | 0.873939i | \(-0.338443\pi\) |
−0.680973 | + | 0.732309i | \(0.738443\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.85768 | + | 2.80277i | −0.129382 | + | 0.0940018i | ||||
\(890\) | −29.2332 | + | 10.7479i | −0.979898 | + | 0.360270i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −5.17646 | − | 15.9315i | −0.173321 | − | 0.533427i | ||||
\(893\) | −74.0849 | −2.47916 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 34.9734 | − | 12.8584i | 1.16903 | − | 0.429808i | ||||
\(896\) | 0.138258 | − | 0.425514i | 0.00461887 | − | 0.0142154i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −11.3466 | + | 8.24376i | −0.378640 | + | 0.275098i | ||||
\(899\) | −4.40440 | −0.146895 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.295153 | −0.00983296 | ||||||||
\(902\) | −26.2861 | + | 19.0979i | −0.875230 | + | 0.635892i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.26568 | + | 13.1284i | −0.141875 | + | 0.436645i | ||||
\(905\) | −8.19674 | + | 12.2379i | −0.272469 | + | 0.406802i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.56195 | −0.184682 | −0.0923408 | − | 0.995727i | \(-0.529435\pi\) | ||||
−0.0923408 | + | 0.995727i | \(0.529435\pi\) | |||||||
\(908\) | −6.64618 | − | 20.4548i | −0.220561 | − | 0.678817i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.438345 | + | 0.557308i | 0.0145310 | + | 0.0184746i | ||||
\(911\) | −8.66550 | + | 6.29585i | −0.287101 | + | 0.208591i | −0.722009 | − | 0.691884i | \(-0.756781\pi\) |
0.434908 | + | 0.900475i | \(0.356781\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.81293 | − | 5.67643i | −0.258570 | − | 0.187862i | ||||
\(914\) | 13.9845 | − | 10.1603i | 0.462566 | − | 0.336074i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 13.4543 | + | 9.77511i | 0.444542 | + | 0.322979i | ||||
\(917\) | 1.35053 | + | 4.15652i | 0.0445986 | + | 0.137260i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.39033 | − | 22.7451i | −0.243785 | − | 0.750292i | −0.995834 | − | 0.0911851i | \(-0.970935\pi\) |
0.752049 | − | 0.659107i | \(-0.229065\pi\) | |||||||
\(920\) | −0.490541 | − | 12.8481i | −0.0161727 | − | 0.423589i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −11.1855 | + | 34.4254i | −0.368374 | + | 1.13374i | ||||
\(923\) | −1.03626 | + | 0.752888i | −0.0341090 | + | 0.0247816i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 38.3548 | − | 32.6114i | 1.26110 | − | 1.07225i | ||||
\(926\) | 19.4040 | 0.637654 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.03259 | + | 3.17797i | −0.0338963 | + | 0.104322i | ||||
\(929\) | −6.00826 | + | 18.4915i | −0.197124 | + | 0.606687i | 0.802821 | + | 0.596220i | \(0.203332\pi\) |
−0.999945 | + | 0.0104663i | \(0.996668\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −16.9523 | − | 52.1737i | −0.555588 | − | 1.70992i | ||||
\(932\) | −21.8409 | −0.715421 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.78144 | + | 4.20046i | 0.189175 | + | 0.137443i | ||||
\(935\) | 0.202028 | + | 5.29145i | 0.00660703 | + | 0.173049i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.3009 | + | 9.66370i | 0.434523 | + | 0.315699i | 0.783455 | − | 0.621449i | \(-0.213456\pi\) |
−0.348932 | + | 0.937148i | \(0.613456\pi\) | |||||||
\(938\) | −0.619637 | − | 0.450192i | −0.0202318 | − | 0.0146993i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.783408 | + | 20.5187i | 0.0255519 | + | 0.669248i | ||||
\(941\) | −5.92599 | − | 4.30548i | −0.193182 | − | 0.140355i | 0.486990 | − | 0.873408i | \(-0.338095\pi\) |
−0.680172 | + | 0.733053i | \(0.738095\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −34.1328 | −1.11152 | ||||||||
\(944\) | −1.05246 | − | 3.23915i | −0.0342548 | − | 0.105425i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.9969 | + | 36.9225i | −0.390051 | + | 1.20045i | ||||
\(947\) | 13.0142 | − | 40.0535i | 0.422903 | − | 1.30156i | −0.482085 | − | 0.876125i | \(-0.660120\pi\) |
0.904988 | − | 0.425438i | \(-0.139880\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.84201 | 0.287024 | ||||||||
\(950\) | −30.7315 | + | 26.1296i | −0.997061 | + | 0.847755i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.156605 | + | 0.113780i | −0.00507560 | + | 0.00368764i | ||||
\(953\) | −11.4876 | + | 35.3551i | −0.372119 | + | 1.14526i | 0.573283 | + | 0.819357i | \(0.305669\pi\) |
−0.945402 | + | 0.325907i | \(0.894331\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.770830 | + | 20.1893i | 0.0249435 | + | 0.653310i | ||||
\(956\) | 2.00811 | + | 6.18031i | 0.0649468 | + | 0.199886i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.88784 | − | 18.1209i | −0.190227 | − | 0.585460i | ||||
\(959\) | −5.72153 | − | 4.15693i | −0.184758 | − | 0.134234i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.6740 | − | 17.2002i | 0.763677 | − | 0.554844i | ||||
\(962\) | 5.77325 | + | 4.19451i | 0.186137 | + | 0.135237i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −16.3804 | + | 11.9011i | −0.527577 | + | 0.383307i | ||||
\(965\) | −22.3906 | − | 28.4672i | −0.720779 | − | 0.916391i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.0263 | − | 55.4791i | −0.579685 | − | 1.78409i | −0.619639 | − | 0.784887i | \(-0.712721\pi\) |
0.0399536 | − | 0.999202i | \(-0.487279\pi\) | |||||||
\(968\) | −18.9593 | −0.609374 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 16.2919 | − | 24.3241i | 0.523101 | − | 0.781001i | ||||
\(971\) | −1.77798 | + | 5.47205i | −0.0570579 | + | 0.175606i | −0.975524 | − | 0.219894i | \(-0.929429\pi\) |
0.918466 | + | 0.395500i | \(0.129429\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.62470 | − | 2.63350i | 0.116203 | − | 0.0844261i | ||||
\(974\) | −24.7382 | −0.792663 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.07842 | −0.194566 | ||||||||
\(977\) | 38.3212 | − | 27.8420i | 1.22600 | − | 0.890744i | 0.229420 | − | 0.973327i | \(-0.426317\pi\) |
0.996584 | + | 0.0825830i | \(0.0263170\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −23.5597 | + | 72.5093i | −0.752972 | + | 2.31741i | ||||
\(980\) | −14.2709 | + | 5.24685i | −0.455867 | + | 0.167604i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 10.4241 | 0.332646 | ||||||||
\(983\) | −2.26705 | − | 6.97726i | −0.0723077 | − | 0.222540i | 0.908371 | − | 0.418165i | \(-0.137327\pi\) |
−0.980679 | + | 0.195625i | \(0.937327\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −19.9436 | + | 7.33247i | −0.635455 | + | 0.233632i | ||||
\(986\) | 1.16961 | − | 0.849774i | 0.0372481 | − | 0.0270623i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.62577 | − | 3.36082i | −0.147165 | − | 0.106922i | ||||
\(989\) | −32.9949 | + | 23.9722i | −1.04918 | + | 0.762271i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.714712 | + | 0.519269i | 0.0227036 | + | 0.0164951i | 0.599079 | − | 0.800690i | \(-0.295533\pi\) |
−0.576376 | + | 0.817185i | \(0.695533\pi\) | |||||||
\(992\) | 0.407310 | + | 1.25357i | 0.0129321 | + | 0.0398009i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.249875 | + | 0.769036i | 0.00792555 | + | 0.0243923i | ||||
\(995\) | 23.8705 | + | 30.3487i | 0.756746 | + | 0.962119i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 8.50456 | − | 26.1743i | 0.269342 | − | 0.828950i | −0.721319 | − | 0.692603i | \(-0.756464\pi\) |
0.990661 | − | 0.136347i | \(-0.0435361\pi\) | |||||||
\(998\) | −35.2968 | + | 25.6446i | −1.11730 | + | 0.811767i | ||||
\(999\) | 0 | 0 |
(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 | 450.2.h.g.361.3 | yes | 12 | |
3.2 | odd | 2 | 450.2.h.f.361.1 | yes | 12 | ||
25.16 | even | 5 | inner | 450.2.h.g.91.3 | yes | 12 | |
75.41 | odd | 10 | 450.2.h.f.91.1 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.h.f.91.1 | ✓ | 12 | 75.41 | odd | 10 | ||
450.2.h.f.361.1 | yes | 12 | 3.2 | odd | 2 | ||
450.2.h.g.91.3 | yes | 12 | 25.16 | even | 5 | inner | |
450.2.h.g.361.3 | yes | 12 | 1.1 | even | 1 | trivial |