Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(694,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.694");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.c (of order \(2\), degree \(1\), 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: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 694.4 | ||
Root | \(-0.854638 - 0.854638i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1155.694 |
Dual form | 1155.2.c.d.694.3 |
$q$-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 \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.539189i | 0.381264i | 0.981662 | + | 0.190632i | \(0.0610537\pi\) | ||||
−0.981662 | + | 0.190632i | \(0.938946\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 1.70928 | 0.854638 | ||||||||
\(5\) | 2.17009 | − | 0.539189i | 0.970492 | − | 0.241133i | ||||
\(6\) | 0.539189 | 0.220123 | ||||||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | 2.00000i | 0.707107i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0.290725 | + | 1.17009i | 0.0919352 | + | 0.370014i | ||||
\(11\) | 1.00000 | 0.301511 | ||||||||
\(12\) | − | 1.70928i | − | 0.493425i | ||||||
\(13\) | 0.829914i | 0.230177i | 0.993355 | + | 0.115088i | \(0.0367151\pi\) | ||||
−0.993355 | + | 0.115088i | \(0.963285\pi\) | |||||||
\(14\) | −0.539189 | −0.144104 | ||||||||
\(15\) | −0.539189 | − | 2.17009i | −0.139218 | − | 0.560314i | ||||
\(16\) | 2.34017 | 0.585043 | ||||||||
\(17\) | 1.63090i | 0.395551i | 0.980247 | + | 0.197775i | \(0.0633717\pi\) | ||||
−0.980247 | + | 0.197775i | \(0.936628\pi\) | |||||||
\(18\) | − | 0.539189i | − | 0.127088i | ||||||
\(19\) | 1.92162 | 0.440850 | 0.220425 | − | 0.975404i | \(-0.429256\pi\) | ||||
0.220425 | + | 0.975404i | \(0.429256\pi\) | |||||||
\(20\) | 3.70928 | − | 0.921622i | 0.829419 | − | 0.206081i | ||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | 0.539189i | 0.114955i | ||||||||
\(23\) | 4.70928i | 0.981952i | 0.871173 | + | 0.490976i | \(0.163360\pi\) | ||||
−0.871173 | + | 0.490976i | \(0.836640\pi\) | |||||||
\(24\) | 2.00000 | 0.408248 | ||||||||
\(25\) | 4.41855 | − | 2.34017i | 0.883710 | − | 0.468035i | ||||
\(26\) | −0.447480 | −0.0877581 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 1.70928i | 0.323023i | ||||||||
\(29\) | 5.82991 | 1.08259 | 0.541294 | − | 0.840833i | \(-0.317935\pi\) | ||||
0.541294 | + | 0.840833i | \(0.317935\pi\) | |||||||
\(30\) | 1.17009 | − | 0.290725i | 0.213628 | − | 0.0530788i | ||||
\(31\) | −3.95774 | −0.710831 | −0.355416 | − | 0.934708i | \(-0.615661\pi\) | ||||
−0.355416 | + | 0.934708i | \(0.615661\pi\) | |||||||
\(32\) | 5.26180i | 0.930163i | ||||||||
\(33\) | − | 1.00000i | − | 0.174078i | ||||||
\(34\) | −0.879362 | −0.150809 | ||||||||
\(35\) | 0.539189 | + | 2.17009i | 0.0911396 | + | 0.366812i | ||||
\(36\) | −1.70928 | −0.284879 | ||||||||
\(37\) | − | 1.51026i | − | 0.248285i | −0.992264 | − | 0.124143i | \(-0.960382\pi\) | ||
0.992264 | − | 0.124143i | \(-0.0396180\pi\) | |||||||
\(38\) | 1.03612i | 0.168080i | ||||||||
\(39\) | 0.829914 | 0.132893 | ||||||||
\(40\) | 1.07838 | + | 4.34017i | 0.170506 | + | 0.686242i | ||||
\(41\) | −8.24846 | −1.28819 | −0.644097 | − | 0.764944i | \(-0.722767\pi\) | ||||
−0.644097 | + | 0.764944i | \(0.722767\pi\) | |||||||
\(42\) | 0.539189i | 0.0831986i | ||||||||
\(43\) | − | 5.43188i | − | 0.828354i | −0.910196 | − | 0.414177i | \(-0.864069\pi\) | ||
0.910196 | − | 0.414177i | \(-0.135931\pi\) | |||||||
\(44\) | 1.70928 | 0.257683 | ||||||||
\(45\) | −2.17009 | + | 0.539189i | −0.323497 | + | 0.0803775i | ||||
\(46\) | −2.53919 | −0.374383 | ||||||||
\(47\) | − | 6.72261i | − | 0.980593i | −0.871556 | − | 0.490296i | \(-0.836889\pi\) | ||
0.871556 | − | 0.490296i | \(-0.163111\pi\) | |||||||
\(48\) | − | 2.34017i | − | 0.337775i | ||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 1.26180 | + | 2.38243i | 0.178445 | + | 0.336927i | ||||
\(51\) | 1.63090 | 0.228371 | ||||||||
\(52\) | 1.41855i | 0.196718i | ||||||||
\(53\) | − | 2.26180i | − | 0.310681i | −0.987861 | − | 0.155341i | \(-0.950352\pi\) | ||
0.987861 | − | 0.155341i | \(-0.0496475\pi\) | |||||||
\(54\) | −0.539189 | −0.0733743 | ||||||||
\(55\) | 2.17009 | − | 0.539189i | 0.292614 | − | 0.0727042i | ||||
\(56\) | −2.00000 | −0.267261 | ||||||||
\(57\) | − | 1.92162i | − | 0.254525i | ||||||
\(58\) | 3.14342i | 0.412752i | ||||||||
\(59\) | −8.21953 | −1.07009 | −0.535046 | − | 0.844823i | \(-0.679706\pi\) | ||||
−0.535046 | + | 0.844823i | \(0.679706\pi\) | |||||||
\(60\) | −0.921622 | − | 3.70928i | −0.118981 | − | 0.478865i | ||||
\(61\) | 9.38962 | 1.20222 | 0.601109 | − | 0.799167i | \(-0.294726\pi\) | ||||
0.601109 | + | 0.799167i | \(0.294726\pi\) | |||||||
\(62\) | − | 2.13397i | − | 0.271014i | ||||||
\(63\) | − | 1.00000i | − | 0.125988i | ||||||
\(64\) | 1.84324 | 0.230406 | ||||||||
\(65\) | 0.447480 | + | 1.80098i | 0.0555031 | + | 0.223385i | ||||
\(66\) | 0.539189 | 0.0663696 | ||||||||
\(67\) | − | 13.5174i | − | 1.65142i | −0.564096 | − | 0.825710i | \(-0.690775\pi\) | ||
0.564096 | − | 0.825710i | \(-0.309225\pi\) | |||||||
\(68\) | 2.78765i | 0.338053i | ||||||||
\(69\) | 4.70928 | 0.566930 | ||||||||
\(70\) | −1.17009 | + | 0.290725i | −0.139852 | + | 0.0347482i | ||||
\(71\) | 0.248464 | 0.0294873 | 0.0147436 | − | 0.999891i | \(-0.495307\pi\) | ||||
0.0147436 | + | 0.999891i | \(0.495307\pi\) | |||||||
\(72\) | − | 2.00000i | − | 0.235702i | ||||||
\(73\) | 2.92162i | 0.341950i | 0.985275 | + | 0.170975i | \(0.0546917\pi\) | ||||
−0.985275 | + | 0.170975i | \(0.945308\pi\) | |||||||
\(74\) | 0.814315 | 0.0946622 | ||||||||
\(75\) | −2.34017 | − | 4.41855i | −0.270220 | − | 0.510210i | ||||
\(76\) | 3.28458 | 0.376767 | ||||||||
\(77\) | 1.00000i | 0.113961i | ||||||||
\(78\) | 0.447480i | 0.0506671i | ||||||||
\(79\) | 0.0422604 | 0.00475467 | 0.00237733 | − | 0.999997i | \(-0.499243\pi\) | ||||
0.00237733 | + | 0.999997i | \(0.499243\pi\) | |||||||
\(80\) | 5.07838 | − | 1.26180i | 0.567780 | − | 0.141073i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 4.44748i | − | 0.491142i | ||||||
\(83\) | 6.70928i | 0.736439i | 0.929739 | + | 0.368219i | \(0.120032\pi\) | ||||
−0.929739 | + | 0.368219i | \(0.879968\pi\) | |||||||
\(84\) | 1.70928 | 0.186497 | ||||||||
\(85\) | 0.879362 | + | 3.53919i | 0.0953802 | + | 0.383879i | ||||
\(86\) | 2.92881 | 0.315822 | ||||||||
\(87\) | − | 5.82991i | − | 0.625032i | ||||||
\(88\) | 2.00000i | 0.213201i | ||||||||
\(89\) | −8.08557 | −0.857068 | −0.428534 | − | 0.903526i | \(-0.640970\pi\) | ||||
−0.428534 | + | 0.903526i | \(0.640970\pi\) | |||||||
\(90\) | −0.290725 | − | 1.17009i | −0.0306451 | − | 0.123338i | ||||
\(91\) | −0.829914 | −0.0869986 | ||||||||
\(92\) | 8.04945i | 0.839213i | ||||||||
\(93\) | 3.95774i | 0.410398i | ||||||||
\(94\) | 3.62475 | 0.373865 | ||||||||
\(95\) | 4.17009 | − | 1.03612i | 0.427842 | − | 0.106303i | ||||
\(96\) | 5.26180 | 0.537030 | ||||||||
\(97\) | − | 14.0856i | − | 1.43017i | −0.699036 | − | 0.715086i | \(-0.746387\pi\) | ||
0.699036 | − | 0.715086i | \(-0.253613\pi\) | |||||||
\(98\) | − | 0.539189i | − | 0.0544663i | ||||||
\(99\) | −1.00000 | −0.100504 | ||||||||
\(100\) | 7.55252 | − | 4.00000i | 0.755252 | − | 0.400000i | ||||
\(101\) | −4.52359 | −0.450114 | −0.225057 | − | 0.974346i | \(-0.572257\pi\) | ||||
−0.225057 | + | 0.974346i | \(0.572257\pi\) | |||||||
\(102\) | 0.879362i | 0.0870698i | ||||||||
\(103\) | − | 7.58864i | − | 0.747731i | −0.927483 | − | 0.373865i | \(-0.878032\pi\) | ||
0.927483 | − | 0.373865i | \(-0.121968\pi\) | |||||||
\(104\) | −1.65983 | −0.162759 | ||||||||
\(105\) | 2.17009 | − | 0.539189i | 0.211779 | − | 0.0526194i | ||||
\(106\) | 1.21953 | 0.118452 | ||||||||
\(107\) | 14.3968i | 1.39179i | 0.718143 | + | 0.695896i | \(0.244993\pi\) | ||||
−0.718143 | + | 0.695896i | \(0.755007\pi\) | |||||||
\(108\) | 1.70928i | 0.164475i | ||||||||
\(109\) | −0.963883 | −0.0923232 | −0.0461616 | − | 0.998934i | \(-0.514699\pi\) | ||||
−0.0461616 | + | 0.998934i | \(0.514699\pi\) | |||||||
\(110\) | 0.290725 | + | 1.17009i | 0.0277195 | + | 0.111563i | ||||
\(111\) | −1.51026 | −0.143347 | ||||||||
\(112\) | 2.34017i | 0.221126i | ||||||||
\(113\) | 6.89269i | 0.648410i | 0.945987 | + | 0.324205i | \(0.105097\pi\) | ||||
−0.945987 | + | 0.324205i | \(0.894903\pi\) | |||||||
\(114\) | 1.03612 | 0.0970413 | ||||||||
\(115\) | 2.53919 | + | 10.2195i | 0.236781 | + | 0.952977i | ||||
\(116\) | 9.96493 | 0.925220 | ||||||||
\(117\) | − | 0.829914i | − | 0.0767255i | ||||||
\(118\) | − | 4.43188i | − | 0.407988i | ||||||
\(119\) | −1.63090 | −0.149504 | ||||||||
\(120\) | 4.34017 | − | 1.07838i | 0.396202 | − | 0.0984420i | ||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 5.06278i | 0.458363i | ||||||||
\(123\) | 8.24846i | 0.743739i | ||||||||
\(124\) | −6.76487 | −0.607503 | ||||||||
\(125\) | 8.32684 | − | 7.46081i | 0.744775 | − | 0.667315i | ||||
\(126\) | 0.539189 | 0.0480348 | ||||||||
\(127\) | 10.6442i | 0.944523i | 0.881459 | + | 0.472261i | \(0.156562\pi\) | ||||
−0.881459 | + | 0.472261i | \(0.843438\pi\) | |||||||
\(128\) | 11.5174i | 1.01801i | ||||||||
\(129\) | −5.43188 | −0.478251 | ||||||||
\(130\) | −0.971071 | + | 0.241276i | −0.0851685 | + | 0.0211613i | ||||
\(131\) | −15.6670 | −1.36883 | −0.684417 | − | 0.729091i | \(-0.739943\pi\) | ||||
−0.684417 | + | 0.729091i | \(0.739943\pi\) | |||||||
\(132\) | − | 1.70928i | − | 0.148773i | ||||||
\(133\) | 1.92162i | 0.166626i | ||||||||
\(134\) | 7.28846 | 0.629627 | ||||||||
\(135\) | 0.539189 | + | 2.17009i | 0.0464060 | + | 0.186771i | ||||
\(136\) | −3.26180 | −0.279697 | ||||||||
\(137\) | − | 1.70928i | − | 0.146033i | −0.997331 | − | 0.0730166i | \(-0.976737\pi\) | ||
0.997331 | − | 0.0730166i | \(-0.0232626\pi\) | |||||||
\(138\) | 2.53919i | 0.216150i | ||||||||
\(139\) | 14.9444 | 1.26757 | 0.633784 | − | 0.773510i | \(-0.281501\pi\) | ||||
0.633784 | + | 0.773510i | \(0.281501\pi\) | |||||||
\(140\) | 0.921622 | + | 3.70928i | 0.0778913 | + | 0.313491i | ||||
\(141\) | −6.72261 | −0.566146 | ||||||||
\(142\) | 0.133969i | 0.0112424i | ||||||||
\(143\) | 0.829914i | 0.0694009i | ||||||||
\(144\) | −2.34017 | −0.195014 | ||||||||
\(145\) | 12.6514 | − | 3.14342i | 1.05064 | − | 0.261047i | ||||
\(146\) | −1.57531 | −0.130373 | ||||||||
\(147\) | 1.00000i | 0.0824786i | ||||||||
\(148\) | − | 2.58145i | − | 0.212194i | ||||||
\(149\) | 12.5236 | 1.02597 | 0.512986 | − | 0.858397i | \(-0.328539\pi\) | ||||
0.512986 | + | 0.858397i | \(0.328539\pi\) | |||||||
\(150\) | 2.38243 | − | 1.26180i | 0.194525 | − | 0.103025i | ||||
\(151\) | −15.2618 | −1.24199 | −0.620994 | − | 0.783816i | \(-0.713271\pi\) | ||||
−0.620994 | + | 0.783816i | \(0.713271\pi\) | |||||||
\(152\) | 3.84324i | 0.311728i | ||||||||
\(153\) | − | 1.63090i | − | 0.131850i | ||||||
\(154\) | −0.539189 | −0.0434491 | ||||||||
\(155\) | −8.58864 | + | 2.13397i | −0.689856 | + | 0.171405i | ||||
\(156\) | 1.41855 | 0.113575 | ||||||||
\(157\) | − | 14.9844i | − | 1.19589i | −0.801539 | − | 0.597943i | \(-0.795985\pi\) | ||
0.801539 | − | 0.597943i | \(-0.204015\pi\) | |||||||
\(158\) | 0.0227863i | 0.00181278i | ||||||||
\(159\) | −2.26180 | −0.179372 | ||||||||
\(160\) | 2.83710 | + | 11.4186i | 0.224293 | + | 0.902716i | ||||
\(161\) | −4.70928 | −0.371143 | ||||||||
\(162\) | 0.539189i | 0.0423627i | ||||||||
\(163\) | 5.69368i | 0.445963i | 0.974823 | + | 0.222982i | \(0.0715790\pi\) | ||||
−0.974823 | + | 0.222982i | \(0.928421\pi\) | |||||||
\(164\) | −14.0989 | −1.10094 | ||||||||
\(165\) | −0.539189 | − | 2.17009i | −0.0419758 | − | 0.168941i | ||||
\(166\) | −3.61757 | −0.280778 | ||||||||
\(167\) | − | 6.04945i | − | 0.468120i | −0.972222 | − | 0.234060i | \(-0.924799\pi\) | ||
0.972222 | − | 0.234060i | \(-0.0752013\pi\) | |||||||
\(168\) | 2.00000i | 0.154303i | ||||||||
\(169\) | 12.3112 | 0.947019 | ||||||||
\(170\) | −1.90829 | + | 0.474142i | −0.146359 | + | 0.0363650i | ||||
\(171\) | −1.92162 | −0.146950 | ||||||||
\(172\) | − | 9.28458i | − | 0.707943i | ||||||
\(173\) | 14.4885i | 1.10154i | 0.834657 | + | 0.550771i | \(0.185666\pi\) | ||||
−0.834657 | + | 0.550771i | \(0.814334\pi\) | |||||||
\(174\) | 3.14342 | 0.238302 | ||||||||
\(175\) | 2.34017 | + | 4.41855i | 0.176900 | + | 0.334011i | ||||
\(176\) | 2.34017 | 0.176397 | ||||||||
\(177\) | 8.21953i | 0.617818i | ||||||||
\(178\) | − | 4.35965i | − | 0.326769i | ||||||
\(179\) | 6.95547 | 0.519876 | 0.259938 | − | 0.965625i | \(-0.416298\pi\) | ||||
0.259938 | + | 0.965625i | \(0.416298\pi\) | |||||||
\(180\) | −3.70928 | + | 0.921622i | −0.276473 | + | 0.0686937i | ||||
\(181\) | 0.183417 | 0.0136333 | 0.00681666 | − | 0.999977i | \(-0.497830\pi\) | ||||
0.00681666 | + | 0.999977i | \(0.497830\pi\) | |||||||
\(182\) | − | 0.447480i | − | 0.0331694i | ||||||
\(183\) | − | 9.38962i | − | 0.694101i | ||||||
\(184\) | −9.41855 | −0.694345 | ||||||||
\(185\) | −0.814315 | − | 3.27739i | −0.0598696 | − | 0.240959i | ||||
\(186\) | −2.13397 | −0.156470 | ||||||||
\(187\) | 1.63090i | 0.119263i | ||||||||
\(188\) | − | 11.4908i | − | 0.838052i | ||||||
\(189\) | −1.00000 | −0.0727393 | ||||||||
\(190\) | 0.558663 | + | 2.24846i | 0.0405297 | + | 0.163121i | ||||
\(191\) | −26.9360 | −1.94902 | −0.974510 | − | 0.224343i | \(-0.927976\pi\) | ||||
−0.974510 | + | 0.224343i | \(0.927976\pi\) | |||||||
\(192\) | − | 1.84324i | − | 0.133025i | ||||||
\(193\) | − | 7.26180i | − | 0.522715i | −0.965242 | − | 0.261358i | \(-0.915830\pi\) | ||
0.965242 | − | 0.261358i | \(-0.0841702\pi\) | |||||||
\(194\) | 7.59478 | 0.545273 | ||||||||
\(195\) | 1.80098 | − | 0.447480i | 0.128971 | − | 0.0320447i | ||||
\(196\) | −1.70928 | −0.122091 | ||||||||
\(197\) | − | 0.0578588i | − | 0.00412227i | −0.999998 | − | 0.00206114i | \(-0.999344\pi\) | ||
0.999998 | − | 0.00206114i | \(-0.000656080\pi\) | |||||||
\(198\) | − | 0.539189i | − | 0.0383185i | ||||||
\(199\) | −18.5958 | −1.31822 | −0.659112 | − | 0.752045i | \(-0.729067\pi\) | ||||
−0.659112 | + | 0.752045i | \(0.729067\pi\) | |||||||
\(200\) | 4.68035 | + | 8.83710i | 0.330950 | + | 0.624877i | ||||
\(201\) | −13.5174 | −0.953447 | ||||||||
\(202\) | − | 2.43907i | − | 0.171612i | ||||||
\(203\) | 5.82991i | 0.409180i | ||||||||
\(204\) | 2.78765 | 0.195175 | ||||||||
\(205\) | −17.8999 | + | 4.44748i | −1.25018 | + | 0.310625i | ||||
\(206\) | 4.09171 | 0.285083 | ||||||||
\(207\) | − | 4.70928i | − | 0.327317i | ||||||
\(208\) | 1.94214i | 0.134663i | ||||||||
\(209\) | 1.92162 | 0.132921 | ||||||||
\(210\) | 0.290725 | + | 1.17009i | 0.0200619 | + | 0.0807436i | ||||
\(211\) | 3.41855 | 0.235343 | 0.117671 | − | 0.993053i | \(-0.462457\pi\) | ||||
0.117671 | + | 0.993053i | \(0.462457\pi\) | |||||||
\(212\) | − | 3.86603i | − | 0.265520i | ||||||
\(213\) | − | 0.248464i | − | 0.0170245i | ||||||
\(214\) | −7.76260 | −0.530640 | ||||||||
\(215\) | −2.92881 | − | 11.7877i | −0.199743 | − | 0.803911i | ||||
\(216\) | −2.00000 | −0.136083 | ||||||||
\(217\) | − | 3.95774i | − | 0.268669i | ||||||
\(218\) | − | 0.519715i | − | 0.0351995i | ||||||
\(219\) | 2.92162 | 0.197425 | ||||||||
\(220\) | 3.70928 | − | 0.921622i | 0.250079 | − | 0.0621358i | ||||
\(221\) | −1.35350 | −0.0910465 | ||||||||
\(222\) | − | 0.814315i | − | 0.0546533i | ||||||
\(223\) | − | 9.77205i | − | 0.654385i | −0.944958 | − | 0.327193i | \(-0.893897\pi\) | ||
0.944958 | − | 0.327193i | \(-0.106103\pi\) | |||||||
\(224\) | −5.26180 | −0.351568 | ||||||||
\(225\) | −4.41855 | + | 2.34017i | −0.294570 | + | 0.156012i | ||||
\(226\) | −3.71646 | −0.247215 | ||||||||
\(227\) | − | 14.8166i | − | 0.983411i | −0.870762 | − | 0.491706i | \(-0.836374\pi\) | ||
0.870762 | − | 0.491706i | \(-0.163626\pi\) | |||||||
\(228\) | − | 3.28458i | − | 0.217527i | ||||||
\(229\) | −3.64423 | −0.240817 | −0.120409 | − | 0.992724i | \(-0.538421\pi\) | ||||
−0.120409 | + | 0.992724i | \(0.538421\pi\) | |||||||
\(230\) | −5.51026 | + | 1.36910i | −0.363336 | + | 0.0902759i | ||||
\(231\) | 1.00000 | 0.0657952 | ||||||||
\(232\) | 11.6598i | 0.765505i | ||||||||
\(233\) | − | 1.64423i | − | 0.107717i | −0.998549 | − | 0.0538585i | \(-0.982848\pi\) | ||
0.998549 | − | 0.0538585i | \(-0.0171520\pi\) | |||||||
\(234\) | 0.447480 | 0.0292527 | ||||||||
\(235\) | −3.62475 | − | 14.5886i | −0.236453 | − | 0.951658i | ||||
\(236\) | −14.0494 | −0.914541 | ||||||||
\(237\) | − | 0.0422604i | − | 0.00274511i | ||||||
\(238\) | − | 0.879362i | − | 0.0570006i | ||||||
\(239\) | −14.7431 | −0.953653 | −0.476827 | − | 0.878997i | \(-0.658213\pi\) | ||||
−0.476827 | + | 0.878997i | \(0.658213\pi\) | |||||||
\(240\) | −1.26180 | − | 5.07838i | −0.0814485 | − | 0.327808i | ||||
\(241\) | −20.2329 | −1.30331 | −0.651657 | − | 0.758514i | \(-0.725926\pi\) | ||||
−0.651657 | + | 0.758514i | \(0.725926\pi\) | |||||||
\(242\) | 0.539189i | 0.0346604i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 16.0494 | 1.02746 | ||||||||
\(245\) | −2.17009 | + | 0.539189i | −0.138642 | + | 0.0344475i | ||||
\(246\) | −4.44748 | −0.283561 | ||||||||
\(247\) | 1.59478i | 0.101473i | ||||||||
\(248\) | − | 7.91548i | − | 0.502633i | ||||||
\(249\) | 6.70928 | 0.425183 | ||||||||
\(250\) | 4.02279 | + | 4.48974i | 0.254423 | + | 0.283956i | ||||
\(251\) | −10.8371 | −0.684032 | −0.342016 | − | 0.939694i | \(-0.611110\pi\) | ||||
−0.342016 | + | 0.939694i | \(0.611110\pi\) | |||||||
\(252\) | − | 1.70928i | − | 0.107674i | ||||||
\(253\) | 4.70928i | 0.296070i | ||||||||
\(254\) | −5.73925 | −0.360113 | ||||||||
\(255\) | 3.53919 | − | 0.879362i | 0.221633 | − | 0.0550678i | ||||
\(256\) | −2.52359 | −0.157724 | ||||||||
\(257\) | 6.51253i | 0.406240i | 0.979154 | + | 0.203120i | \(0.0651082\pi\) | ||||
−0.979154 | + | 0.203120i | \(0.934892\pi\) | |||||||
\(258\) | − | 2.92881i | − | 0.182340i | ||||||
\(259\) | 1.51026 | 0.0938430 | ||||||||
\(260\) | 0.764867 | + | 3.07838i | 0.0474350 | + | 0.190913i | ||||
\(261\) | −5.82991 | −0.360863 | ||||||||
\(262\) | − | 8.44748i | − | 0.521887i | ||||||
\(263\) | 20.8371i | 1.28487i | 0.766340 | + | 0.642435i | \(0.222076\pi\) | ||||
−0.766340 | + | 0.642435i | \(0.777924\pi\) | |||||||
\(264\) | 2.00000 | 0.123091 | ||||||||
\(265\) | −1.21953 | − | 4.90829i | −0.0749154 | − | 0.301514i | ||||
\(266\) | −1.03612 | −0.0635284 | ||||||||
\(267\) | 8.08557i | 0.494829i | ||||||||
\(268\) | − | 23.1050i | − | 1.41136i | ||||||
\(269\) | −3.93722 | −0.240057 | −0.120028 | − | 0.992770i | \(-0.538299\pi\) | ||||
−0.120028 | + | 0.992770i | \(0.538299\pi\) | |||||||
\(270\) | −1.17009 | + | 0.290725i | −0.0712092 | + | 0.0176929i | ||||
\(271\) | −18.8348 | −1.14413 | −0.572067 | − | 0.820207i | \(-0.693858\pi\) | ||||
−0.572067 | + | 0.820207i | \(0.693858\pi\) | |||||||
\(272\) | 3.81658i | 0.231414i | ||||||||
\(273\) | 0.829914i | 0.0502287i | ||||||||
\(274\) | 0.921622 | 0.0556772 | ||||||||
\(275\) | 4.41855 | − | 2.34017i | 0.266449 | − | 0.141118i | ||||
\(276\) | 8.04945 | 0.484520 | ||||||||
\(277\) | 1.45362i | 0.0873398i | 0.999046 | + | 0.0436699i | \(0.0139050\pi\) | ||||
−0.999046 | + | 0.0436699i | \(0.986095\pi\) | |||||||
\(278\) | 8.05786i | 0.483278i | ||||||||
\(279\) | 3.95774 | 0.236944 | ||||||||
\(280\) | −4.34017 | + | 1.07838i | −0.259375 | + | 0.0644454i | ||||
\(281\) | −18.8143 | −1.12237 | −0.561184 | − | 0.827691i | \(-0.689654\pi\) | ||||
−0.561184 | + | 0.827691i | \(0.689654\pi\) | |||||||
\(282\) | − | 3.62475i | − | 0.215851i | ||||||
\(283\) | − | 13.0589i | − | 0.776271i | −0.921602 | − | 0.388136i | \(-0.873119\pi\) | ||
0.921602 | − | 0.388136i | \(-0.126881\pi\) | |||||||
\(284\) | 0.424694 | 0.0252009 | ||||||||
\(285\) | −1.03612 | − | 4.17009i | −0.0613743 | − | 0.247015i | ||||
\(286\) | −0.447480 | −0.0264601 | ||||||||
\(287\) | − | 8.24846i | − | 0.486891i | ||||||
\(288\) | − | 5.26180i | − | 0.310054i | ||||||
\(289\) | 14.3402 | 0.843540 | ||||||||
\(290\) | 1.69490 | + | 6.82150i | 0.0995279 | + | 0.400572i | ||||
\(291\) | −14.0856 | −0.825710 | ||||||||
\(292\) | 4.99386i | 0.292243i | ||||||||
\(293\) | − | 23.7792i | − | 1.38920i | −0.719397 | − | 0.694599i | \(-0.755582\pi\) | ||
0.719397 | − | 0.694599i | \(-0.244418\pi\) | |||||||
\(294\) | −0.539189 | −0.0314461 | ||||||||
\(295\) | −17.8371 | + | 4.43188i | −1.03852 | + | 0.258034i | ||||
\(296\) | 3.02052 | 0.175564 | ||||||||
\(297\) | 1.00000i | 0.0580259i | ||||||||
\(298\) | 6.75258i | 0.391166i | ||||||||
\(299\) | −3.90829 | −0.226022 | ||||||||
\(300\) | −4.00000 | − | 7.55252i | −0.230940 | − | 0.436045i | ||||
\(301\) | 5.43188 | 0.313088 | ||||||||
\(302\) | − | 8.22899i | − | 0.473525i | ||||||
\(303\) | 4.52359i | 0.259873i | ||||||||
\(304\) | 4.49693 | 0.257917 | ||||||||
\(305\) | 20.3763 | − | 5.06278i | 1.16674 | − | 0.289894i | ||||
\(306\) | 0.879362 | 0.0502698 | ||||||||
\(307\) | 6.81044i | 0.388692i | 0.980933 | + | 0.194346i | \(0.0622585\pi\) | ||||
−0.980933 | + | 0.194346i | \(0.937741\pi\) | |||||||
\(308\) | 1.70928i | 0.0973950i | ||||||||
\(309\) | −7.58864 | −0.431702 | ||||||||
\(310\) | −1.15061 | − | 4.63090i | −0.0653504 | − | 0.263017i | ||||
\(311\) | 26.0410 | 1.47665 | 0.738326 | − | 0.674444i | \(-0.235617\pi\) | ||||
0.738326 | + | 0.674444i | \(0.235617\pi\) | |||||||
\(312\) | 1.65983i | 0.0939692i | ||||||||
\(313\) | 27.8359i | 1.57338i | 0.617350 | + | 0.786688i | \(0.288206\pi\) | ||||
−0.617350 | + | 0.786688i | \(0.711794\pi\) | |||||||
\(314\) | 8.07942 | 0.455948 | ||||||||
\(315\) | −0.539189 | − | 2.17009i | −0.0303799 | − | 0.122271i | ||||
\(316\) | 0.0722347 | 0.00406352 | ||||||||
\(317\) | 30.1217i | 1.69180i | 0.533340 | + | 0.845901i | \(0.320937\pi\) | ||||
−0.533340 | + | 0.845901i | \(0.679063\pi\) | |||||||
\(318\) | − | 1.21953i | − | 0.0683881i | ||||||
\(319\) | 5.82991 | 0.326412 | ||||||||
\(320\) | 4.00000 | − | 0.993857i | 0.223607 | − | 0.0555583i | ||||
\(321\) | 14.3968 | 0.803552 | ||||||||
\(322\) | − | 2.53919i | − | 0.141503i | ||||||
\(323\) | 3.13397i | 0.174379i | ||||||||
\(324\) | 1.70928 | 0.0949597 | ||||||||
\(325\) | 1.94214 | + | 3.66701i | 0.107731 | + | 0.203409i | ||||
\(326\) | −3.06997 | −0.170030 | ||||||||
\(327\) | 0.963883i | 0.0533028i | ||||||||
\(328\) | − | 16.4969i | − | 0.910890i | ||||||
\(329\) | 6.72261 | 0.370629 | ||||||||
\(330\) | 1.17009 | − | 0.290725i | 0.0644111 | − | 0.0160039i | ||||
\(331\) | −33.4534 | −1.83877 | −0.919384 | − | 0.393362i | \(-0.871312\pi\) | ||||
−0.919384 | + | 0.393362i | \(0.871312\pi\) | |||||||
\(332\) | 11.4680i | 0.629388i | ||||||||
\(333\) | 1.51026i | 0.0827617i | ||||||||
\(334\) | 3.26180 | 0.178477 | ||||||||
\(335\) | −7.28846 | − | 29.3340i | −0.398211 | − | 1.60269i | ||||
\(336\) | 2.34017 | 0.127667 | ||||||||
\(337\) | 8.48360i | 0.462131i | 0.972938 | + | 0.231066i | \(0.0742212\pi\) | ||||
−0.972938 | + | 0.231066i | \(0.925779\pi\) | |||||||
\(338\) | 6.63809i | 0.361064i | ||||||||
\(339\) | 6.89269 | 0.374360 | ||||||||
\(340\) | 1.50307 | + | 6.04945i | 0.0815155 | + | 0.328077i | ||||
\(341\) | −3.95774 | −0.214324 | ||||||||
\(342\) | − | 1.03612i | − | 0.0560268i | ||||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 10.8638 | 0.585735 | ||||||||
\(345\) | 10.2195 | − | 2.53919i | 0.550201 | − | 0.136705i | ||||
\(346\) | −7.81205 | −0.419978 | ||||||||
\(347\) | − | 17.8310i | − | 0.957216i | −0.878029 | − | 0.478608i | \(-0.841142\pi\) | ||
0.878029 | − | 0.478608i | \(-0.158858\pi\) | |||||||
\(348\) | − | 9.96493i | − | 0.534176i | ||||||
\(349\) | 19.5814 | 1.04817 | 0.524085 | − | 0.851666i | \(-0.324407\pi\) | ||||
0.524085 | + | 0.851666i | \(0.324407\pi\) | |||||||
\(350\) | −2.38243 | + | 1.26180i | −0.127346 | + | 0.0674458i | ||||
\(351\) | −0.829914 | −0.0442975 | ||||||||
\(352\) | 5.26180i | 0.280455i | ||||||||
\(353\) | − | 21.7009i | − | 1.15502i | −0.816383 | − | 0.577510i | \(-0.804024\pi\) | ||
0.816383 | − | 0.577510i | \(-0.195976\pi\) | |||||||
\(354\) | −4.43188 | −0.235552 | ||||||||
\(355\) | 0.539189 | − | 0.133969i | 0.0286172 | − | 0.00711034i | ||||
\(356\) | −13.8205 | −0.732483 | ||||||||
\(357\) | 1.63090i | 0.0863163i | ||||||||
\(358\) | 3.75031i | 0.198210i | ||||||||
\(359\) | −17.4319 | −0.920020 | −0.460010 | − | 0.887914i | \(-0.652154\pi\) | ||||
−0.460010 | + | 0.887914i | \(0.652154\pi\) | |||||||
\(360\) | −1.07838 | − | 4.34017i | −0.0568355 | − | 0.228747i | ||||
\(361\) | −15.3074 | −0.805651 | ||||||||
\(362\) | 0.0988967i | 0.00519789i | ||||||||
\(363\) | − | 1.00000i | − | 0.0524864i | ||||||
\(364\) | −1.41855 | −0.0743523 | ||||||||
\(365\) | 1.57531 | + | 6.34017i | 0.0824553 | + | 0.331860i | ||||
\(366\) | 5.06278 | 0.264636 | ||||||||
\(367\) | 11.3246i | 0.591138i | 0.955321 | + | 0.295569i | \(0.0955092\pi\) | ||||
−0.955321 | + | 0.295569i | \(0.904491\pi\) | |||||||
\(368\) | 11.0205i | 0.574484i | ||||||||
\(369\) | 8.24846 | 0.429398 | ||||||||
\(370\) | 1.76713 | − | 0.439070i | 0.0918689 | − | 0.0228261i | ||||
\(371\) | 2.26180 | 0.117427 | ||||||||
\(372\) | 6.76487i | 0.350742i | ||||||||
\(373\) | − | 14.6898i | − | 0.760609i | −0.924861 | − | 0.380305i | \(-0.875819\pi\) | ||
0.924861 | − | 0.380305i | \(-0.124181\pi\) | |||||||
\(374\) | −0.879362 | −0.0454707 | ||||||||
\(375\) | −7.46081 | − | 8.32684i | −0.385275 | − | 0.429996i | ||||
\(376\) | 13.4452 | 0.693384 | ||||||||
\(377\) | 4.83832i | 0.249186i | ||||||||
\(378\) | − | 0.539189i | − | 0.0277329i | ||||||
\(379\) | −28.4101 | −1.45933 | −0.729665 | − | 0.683804i | \(-0.760324\pi\) | ||||
−0.729665 | + | 0.683804i | \(0.760324\pi\) | |||||||
\(380\) | 7.12783 | − | 1.77101i | 0.365650 | − | 0.0908509i | ||||
\(381\) | 10.6442 | 0.545320 | ||||||||
\(382\) | − | 14.5236i | − | 0.743092i | ||||||
\(383\) | 4.75380i | 0.242908i | 0.992597 | + | 0.121454i | \(0.0387557\pi\) | ||||
−0.992597 | + | 0.121454i | \(0.961244\pi\) | |||||||
\(384\) | 11.5174 | 0.587747 | ||||||||
\(385\) | 0.539189 | + | 2.17009i | 0.0274796 | + | 0.110598i | ||||
\(386\) | 3.91548 | 0.199293 | ||||||||
\(387\) | 5.43188i | 0.276118i | ||||||||
\(388\) | − | 24.0761i | − | 1.22228i | ||||||
\(389\) | 30.9744 | 1.57046 | 0.785232 | − | 0.619202i | \(-0.212544\pi\) | ||||
0.785232 | + | 0.619202i | \(0.212544\pi\) | |||||||
\(390\) | 0.241276 | + | 0.971071i | 0.0122175 | + | 0.0491721i | ||||
\(391\) | −7.68035 | −0.388412 | ||||||||
\(392\) | − | 2.00000i | − | 0.101015i | ||||||
\(393\) | 15.6670i | 0.790296i | ||||||||
\(394\) | 0.0311968 | 0.00157167 | ||||||||
\(395\) | 0.0917087 | − | 0.0227863i | 0.00461437 | − | 0.00114651i | ||||
\(396\) | −1.70928 | −0.0858943 | ||||||||
\(397\) | 12.7565i | 0.640228i | 0.947379 | + | 0.320114i | \(0.103721\pi\) | ||||
−0.947379 | + | 0.320114i | \(0.896279\pi\) | |||||||
\(398\) | − | 10.0267i | − | 0.502591i | ||||||
\(399\) | 1.92162 | 0.0962014 | ||||||||
\(400\) | 10.3402 | − | 5.47641i | 0.517009 | − | 0.273820i | ||||
\(401\) | 8.71420 | 0.435166 | 0.217583 | − | 0.976042i | \(-0.430183\pi\) | ||||
0.217583 | + | 0.976042i | \(0.430183\pi\) | |||||||
\(402\) | − | 7.28846i | − | 0.363515i | ||||||
\(403\) | − | 3.28458i | − | 0.163617i | ||||||
\(404\) | −7.73206 | −0.384684 | ||||||||
\(405\) | 2.17009 | − | 0.539189i | 0.107832 | − | 0.0267925i | ||||
\(406\) | −3.14342 | −0.156006 | ||||||||
\(407\) | − | 1.51026i | − | 0.0748608i | ||||||
\(408\) | 3.26180i | 0.161483i | ||||||||
\(409\) | 5.49466 | 0.271694 | 0.135847 | − | 0.990730i | \(-0.456625\pi\) | ||||
0.135847 | + | 0.990730i | \(0.456625\pi\) | |||||||
\(410\) | −2.39803 | − | 9.65142i | −0.118430 | − | 0.476649i | ||||
\(411\) | −1.70928 | −0.0843123 | ||||||||
\(412\) | − | 12.9711i | − | 0.639039i | ||||||
\(413\) | − | 8.21953i | − | 0.404457i | ||||||
\(414\) | 2.53919 | 0.124794 | ||||||||
\(415\) | 3.61757 | + | 14.5597i | 0.177579 | + | 0.714708i | ||||
\(416\) | −4.36683 | −0.214102 | ||||||||
\(417\) | − | 14.9444i | − | 0.731831i | ||||||
\(418\) | 1.03612i | 0.0506782i | ||||||||
\(419\) | −22.0544 | −1.07743 | −0.538713 | − | 0.842489i | \(-0.681089\pi\) | ||||
−0.538713 | + | 0.842489i | \(0.681089\pi\) | |||||||
\(420\) | 3.70928 | − | 0.921622i | 0.180994 | − | 0.0449706i | ||||
\(421\) | 12.2351 | 0.596304 | 0.298152 | − | 0.954518i | \(-0.403630\pi\) | ||||
0.298152 | + | 0.954518i | \(0.403630\pi\) | |||||||
\(422\) | 1.84324i | 0.0897277i | ||||||||
\(423\) | 6.72261i | 0.326864i | ||||||||
\(424\) | 4.52359 | 0.219685 | ||||||||
\(425\) | 3.81658 | + | 7.20620i | 0.185131 | + | 0.349552i | ||||
\(426\) | 0.133969 | 0.00649083 | ||||||||
\(427\) | 9.38962i | 0.454396i | ||||||||
\(428\) | 24.6081i | 1.18948i | ||||||||
\(429\) | 0.829914 | 0.0400686 | ||||||||
\(430\) | 6.35577 | − | 1.57918i | 0.306503 | − | 0.0761549i | ||||
\(431\) | 18.0722 | 0.870509 | 0.435254 | − | 0.900307i | \(-0.356658\pi\) | ||||
0.435254 | + | 0.900307i | \(0.356658\pi\) | |||||||
\(432\) | 2.34017i | 0.112592i | ||||||||
\(433\) | − | 32.1399i | − | 1.54455i | −0.635290 | − | 0.772273i | \(-0.719120\pi\) | ||
0.635290 | − | 0.772273i | \(-0.280880\pi\) | |||||||
\(434\) | 2.13397 | 0.102434 | ||||||||
\(435\) | −3.14342 | − | 12.6514i | −0.150716 | − | 0.606589i | ||||
\(436\) | −1.64754 | −0.0789029 | ||||||||
\(437\) | 9.04945i | 0.432894i | ||||||||
\(438\) | 1.57531i | 0.0752710i | ||||||||
\(439\) | −7.89043 | −0.376589 | −0.188295 | − | 0.982113i | \(-0.560296\pi\) | ||||
−0.188295 | + | 0.982113i | \(0.560296\pi\) | |||||||
\(440\) | 1.07838 | + | 4.34017i | 0.0514096 | + | 0.206910i | ||||
\(441\) | 1.00000 | 0.0476190 | ||||||||
\(442\) | − | 0.729794i | − | 0.0347128i | ||||||
\(443\) | 24.6719i | 1.17220i | 0.810239 | + | 0.586100i | \(0.199337\pi\) | ||||
−0.810239 | + | 0.586100i | \(0.800663\pi\) | |||||||
\(444\) | −2.58145 | −0.122510 | ||||||||
\(445\) | −17.5464 | + | 4.35965i | −0.831778 | + | 0.206667i | ||||
\(446\) | 5.26898 | 0.249494 | ||||||||
\(447\) | − | 12.5236i | − | 0.592346i | ||||||
\(448\) | 1.84324i | 0.0870851i | ||||||||
\(449\) | 19.1845 | 0.905371 | 0.452685 | − | 0.891670i | \(-0.350466\pi\) | ||||
0.452685 | + | 0.891670i | \(0.350466\pi\) | |||||||
\(450\) | −1.26180 | − | 2.38243i | −0.0594816 | − | 0.112309i | ||||
\(451\) | −8.24846 | −0.388405 | ||||||||
\(452\) | 11.7815i | 0.554156i | ||||||||
\(453\) | 15.2618i | 0.717062i | ||||||||
\(454\) | 7.98894 | 0.374939 | ||||||||
\(455\) | −1.80098 | + | 0.447480i | −0.0844314 | + | 0.0209782i | ||||
\(456\) | 3.84324 | 0.179976 | ||||||||
\(457\) | 36.8960i | 1.72592i | 0.505270 | + | 0.862961i | \(0.331393\pi\) | ||||
−0.505270 | + | 0.862961i | \(0.668607\pi\) | |||||||
\(458\) | − | 1.96493i | − | 0.0918150i | ||||||
\(459\) | −1.63090 | −0.0761238 | ||||||||
\(460\) | 4.34017 | + | 17.4680i | 0.202362 | + | 0.814450i | ||||
\(461\) | −11.8699 | −0.552837 | −0.276418 | − | 0.961037i | \(-0.589148\pi\) | ||||
−0.276418 | + | 0.961037i | \(0.589148\pi\) | |||||||
\(462\) | 0.539189i | 0.0250853i | ||||||||
\(463\) | − | 26.6537i | − | 1.23870i | −0.785114 | − | 0.619351i | \(-0.787396\pi\) | ||
0.785114 | − | 0.619351i | \(-0.212604\pi\) | |||||||
\(464\) | 13.6430 | 0.633361 | ||||||||
\(465\) | 2.13397 | + | 8.58864i | 0.0989604 | + | 0.398289i | ||||
\(466\) | 0.886550 | 0.0410686 | ||||||||
\(467\) | − | 0.325797i | − | 0.0150761i | −0.999972 | − | 0.00753805i | \(-0.997601\pi\) | ||
0.999972 | − | 0.00753805i | \(-0.00239946\pi\) | |||||||
\(468\) | − | 1.41855i | − | 0.0655725i | ||||||
\(469\) | 13.5174 | 0.624178 | ||||||||
\(470\) | 7.86603 | − | 1.95443i | 0.362833 | − | 0.0901510i | ||||
\(471\) | −14.9844 | −0.690445 | ||||||||
\(472\) | − | 16.4391i | − | 0.756670i | ||||||
\(473\) | − | 5.43188i | − | 0.249758i | ||||||
\(474\) | 0.0227863 | 0.00104661 | ||||||||
\(475\) | 8.49079 | − | 4.49693i | 0.389584 | − | 0.206333i | ||||
\(476\) | −2.78765 | −0.127772 | ||||||||
\(477\) | 2.26180i | 0.103560i | ||||||||
\(478\) | − | 7.94933i | − | 0.363594i | ||||||
\(479\) | −9.32684 | −0.426154 | −0.213077 | − | 0.977035i | \(-0.568349\pi\) | ||||
−0.213077 | + | 0.977035i | \(0.568349\pi\) | |||||||
\(480\) | 11.4186 | − | 2.83710i | 0.521183 | − | 0.129495i | ||||
\(481\) | 1.25338 | 0.0571494 | ||||||||
\(482\) | − | 10.9093i | − | 0.496907i | ||||||
\(483\) | 4.70928i | 0.214279i | ||||||||
\(484\) | 1.70928 | 0.0776943 | ||||||||
\(485\) | −7.59478 | − | 30.5669i | −0.344861 | − | 1.38797i | ||||
\(486\) | 0.539189 | 0.0244581 | ||||||||
\(487\) | 21.8576i | 0.990463i | 0.868761 | + | 0.495232i | \(0.164917\pi\) | ||||
−0.868761 | + | 0.495232i | \(0.835083\pi\) | |||||||
\(488\) | 18.7792i | 0.850096i | ||||||||
\(489\) | 5.69368 | 0.257477 | ||||||||
\(490\) | −0.290725 | − | 1.17009i | −0.0131336 | − | 0.0528591i | ||||
\(491\) | −0.899881 | −0.0406111 | −0.0203055 | − | 0.999794i | \(-0.506464\pi\) | ||||
−0.0203055 | + | 0.999794i | \(0.506464\pi\) | |||||||
\(492\) | 14.0989i | 0.635627i | ||||||||
\(493\) | 9.50799i | 0.428218i | ||||||||
\(494\) | −0.859888 | −0.0386882 | ||||||||
\(495\) | −2.17009 | + | 0.539189i | −0.0975381 | + | 0.0242347i | ||||
\(496\) | −9.26180 | −0.415867 | ||||||||
\(497\) | 0.248464i | 0.0111451i | ||||||||
\(498\) | 3.61757i | 0.162107i | ||||||||
\(499\) | 19.1483 | 0.857198 | 0.428599 | − | 0.903495i | \(-0.359007\pi\) | ||||
0.428599 | + | 0.903495i | \(0.359007\pi\) | |||||||
\(500\) | 14.2329 | − | 12.7526i | 0.636513 | − | 0.570313i | ||||
\(501\) | −6.04945 | −0.270269 | ||||||||
\(502\) | − | 5.84324i | − | 0.260797i | ||||||
\(503\) | − | 31.0456i | − | 1.38425i | −0.721776 | − | 0.692127i | \(-0.756674\pi\) | ||
0.721776 | − | 0.692127i | \(-0.243326\pi\) | |||||||
\(504\) | 2.00000 | 0.0890871 | ||||||||
\(505\) | −9.81658 | + | 2.43907i | −0.436832 | + | 0.108537i | ||||
\(506\) | −2.53919 | −0.112881 | ||||||||
\(507\) | − | 12.3112i | − | 0.546762i | ||||||
\(508\) | 18.1939i | 0.807225i | ||||||||
\(509\) | 38.2255 | 1.69432 | 0.847158 | − | 0.531341i | \(-0.178312\pi\) | ||||
0.847158 | + | 0.531341i | \(0.178312\pi\) | |||||||
\(510\) | 0.474142 | + | 1.90829i | 0.0209954 | + | 0.0845006i | ||||
\(511\) | −2.92162 | −0.129245 | ||||||||
\(512\) | 21.6742i | 0.957873i | ||||||||
\(513\) | 1.92162i | 0.0848417i | ||||||||
\(514\) | −3.51148 | −0.154885 | ||||||||
\(515\) | −4.09171 | − | 16.4680i | −0.180302 | − | 0.725667i | ||||
\(516\) | −9.28458 | −0.408731 | ||||||||
\(517\) | − | 6.72261i | − | 0.295660i | ||||||
\(518\) | 0.814315i | 0.0357790i | ||||||||
\(519\) | 14.4885 | 0.635975 | ||||||||
\(520\) | −3.60197 | + | 0.894960i | −0.157957 | + | 0.0392466i | ||||
\(521\) | −8.71646 | −0.381875 | −0.190938 | − | 0.981602i | \(-0.561153\pi\) | ||||
−0.190938 | + | 0.981602i | \(0.561153\pi\) | |||||||
\(522\) | − | 3.14342i | − | 0.137584i | ||||||
\(523\) | 41.7998i | 1.82778i | 0.405966 | + | 0.913888i | \(0.366935\pi\) | ||||
−0.405966 | + | 0.913888i | \(0.633065\pi\) | |||||||
\(524\) | −26.7792 | −1.16986 | ||||||||
\(525\) | 4.41855 | − | 2.34017i | 0.192841 | − | 0.102134i | ||||
\(526\) | −11.2351 | −0.489875 | ||||||||
\(527\) | − | 6.45467i | − | 0.281170i | ||||||
\(528\) | − | 2.34017i | − | 0.101843i | ||||||
\(529\) | 0.822726 | 0.0357707 | ||||||||
\(530\) | 2.64650 | − | 0.657560i | 0.114956 | − | 0.0285626i | ||||
\(531\) | 8.21953 | 0.356697 | ||||||||
\(532\) | 3.28458i | 0.142405i | ||||||||
\(533\) | − | 6.84551i | − | 0.296512i | ||||||
\(534\) | −4.35965 | −0.188660 | ||||||||
\(535\) | 7.76260 | + | 31.2423i | 0.335606 | + | 1.35072i | ||||
\(536\) | 27.0349 | 1.16773 | ||||||||
\(537\) | − | 6.95547i | − | 0.300151i | ||||||
\(538\) | − | 2.12291i | − | 0.0915250i | ||||||
\(539\) | −1.00000 | −0.0430730 | ||||||||
\(540\) | 0.921622 | + | 3.70928i | 0.0396603 | + | 0.159622i | ||||
\(541\) | 13.1883 | 0.567011 | 0.283505 | − | 0.958971i | \(-0.408503\pi\) | ||||
0.283505 | + | 0.958971i | \(0.408503\pi\) | |||||||
\(542\) | − | 10.1555i | − | 0.436217i | ||||||
\(543\) | − | 0.183417i | − | 0.00787120i | ||||||
\(544\) | −8.58145 | −0.367927 | ||||||||
\(545\) | −2.09171 | + | 0.519715i | −0.0895990 | + | 0.0222621i | ||||
\(546\) | −0.447480 | −0.0191504 | ||||||||
\(547\) | − | 4.48747i | − | 0.191870i | −0.995388 | − | 0.0959352i | \(-0.969416\pi\) | ||
0.995388 | − | 0.0959352i | \(-0.0305842\pi\) | |||||||
\(548\) | − | 2.92162i | − | 0.124806i | ||||||
\(549\) | −9.38962 | −0.400739 | ||||||||
\(550\) | 1.26180 | + | 2.38243i | 0.0538031 | + | 0.101587i | ||||
\(551\) | 11.2029 | 0.477259 | ||||||||
\(552\) | 9.41855i | 0.400880i | ||||||||
\(553\) | 0.0422604i | 0.00179710i | ||||||||
\(554\) | −0.783777 | −0.0332995 | ||||||||
\(555\) | −3.27739 | + | 0.814315i | −0.139118 | + | 0.0345658i | ||||
\(556\) | 25.5441 | 1.08331 | ||||||||
\(557\) | − | 30.7480i | − | 1.30284i | −0.758719 | − | 0.651418i | \(-0.774174\pi\) | ||
0.758719 | − | 0.651418i | \(-0.225826\pi\) | |||||||
\(558\) | 2.13397i | 0.0903381i | ||||||||
\(559\) | 4.50799 | 0.190668 | ||||||||
\(560\) | 1.26180 | + | 5.07838i | 0.0533206 | + | 0.214601i | ||||
\(561\) | 1.63090 | 0.0688566 | ||||||||
\(562\) | − | 10.1445i | − | 0.427919i | ||||||
\(563\) | 40.9854i | 1.72733i | 0.504066 | + | 0.863665i | \(0.331837\pi\) | ||||
−0.504066 | + | 0.863665i | \(0.668163\pi\) | |||||||
\(564\) | −11.4908 | −0.483849 | ||||||||
\(565\) | 3.71646 | + | 14.9577i | 0.156353 | + | 0.629277i | ||||
\(566\) | 7.04122 | 0.295964 | ||||||||
\(567\) | 1.00000i | 0.0419961i | ||||||||
\(568\) | 0.496928i | 0.0208507i | ||||||||
\(569\) | −24.8420 | −1.04143 | −0.520716 | − | 0.853730i | \(-0.674335\pi\) | ||||
−0.520716 | + | 0.853730i | \(0.674335\pi\) | |||||||
\(570\) | 2.24846 | − | 0.558663i | 0.0941778 | − | 0.0233998i | ||||
\(571\) | −10.2835 | −0.430353 | −0.215176 | − | 0.976575i | \(-0.569033\pi\) | ||||
−0.215176 | + | 0.976575i | \(0.569033\pi\) | |||||||
\(572\) | 1.41855i | 0.0593126i | ||||||||
\(573\) | 26.9360i | 1.12527i | ||||||||
\(574\) | 4.44748 | 0.185634 | ||||||||
\(575\) | 11.0205 | + | 20.8082i | 0.459587 | + | 0.867761i | ||||
\(576\) | −1.84324 | −0.0768019 | ||||||||
\(577\) | 15.9733i | 0.664979i | 0.943107 | + | 0.332489i | \(0.107889\pi\) | ||||
−0.943107 | + | 0.332489i | \(0.892111\pi\) | |||||||
\(578\) | 7.73206i | 0.321611i | ||||||||
\(579\) | −7.26180 | −0.301790 | ||||||||
\(580\) | 21.6248 | − | 5.37298i | 0.897919 | − | 0.223101i | ||||
\(581\) | −6.70928 | −0.278348 | ||||||||
\(582\) | − | 7.59478i | − | 0.314814i | ||||||
\(583\) | − | 2.26180i | − | 0.0936740i | ||||||
\(584\) | −5.84324 | −0.241795 | ||||||||
\(585\) | −0.447480 | − | 1.80098i | −0.0185010 | − | 0.0744615i | ||||
\(586\) | 12.8215 | 0.529651 | ||||||||
\(587\) | 30.3390i | 1.25222i | 0.779734 | + | 0.626111i | \(0.215354\pi\) | ||||
−0.779734 | + | 0.626111i | \(0.784646\pi\) | |||||||
\(588\) | 1.70928i | 0.0704893i | ||||||||
\(589\) | −7.60528 | −0.313370 | ||||||||
\(590\) | −2.38962 | − | 9.61757i | −0.0983792 | − | 0.395949i | ||||
\(591\) | −0.0578588 | −0.00237999 | ||||||||
\(592\) | − | 3.53427i | − | 0.145258i | ||||||
\(593\) | − | 20.7298i | − | 0.851271i | −0.904895 | − | 0.425635i | \(-0.860051\pi\) | ||
0.904895 | − | 0.425635i | \(-0.139949\pi\) | |||||||
\(594\) | −0.539189 | −0.0221232 | ||||||||
\(595\) | −3.53919 | + | 0.879362i | −0.145093 | + | 0.0360503i | ||||
\(596\) | 21.4063 | 0.876835 | ||||||||
\(597\) | 18.5958i | 0.761076i | ||||||||
\(598\) | − | 2.10731i | − | 0.0861742i | ||||||
\(599\) | 6.76487 | 0.276405 | 0.138202 | − | 0.990404i | \(-0.455868\pi\) | ||||
0.138202 | + | 0.990404i | \(0.455868\pi\) | |||||||
\(600\) | 8.83710 | − | 4.68035i | 0.360773 | − | 0.191074i | ||||
\(601\) | −29.2907 | −1.19479 | −0.597397 | − | 0.801946i | \(-0.703798\pi\) | ||||
−0.597397 | + | 0.801946i | \(0.703798\pi\) | |||||||
\(602\) | 2.92881i | 0.119369i | ||||||||
\(603\) | 13.5174i | 0.550473i | ||||||||
\(604\) | −26.0866 | −1.06145 | ||||||||
\(605\) | 2.17009 | − | 0.539189i | 0.0882266 | − | 0.0219211i | ||||
\(606\) | −2.43907 | −0.0990804 | ||||||||
\(607\) | 26.8515i | 1.08987i | 0.838479 | + | 0.544934i | \(0.183445\pi\) | ||||
−0.838479 | + | 0.544934i | \(0.816555\pi\) | |||||||
\(608\) | 10.1112i | 0.410063i | ||||||||
\(609\) | 5.82991 | 0.236240 | ||||||||
\(610\) | 2.72979 | + | 10.9867i | 0.110526 | + | 0.444837i | ||||
\(611\) | 5.57918 | 0.225710 | ||||||||
\(612\) | − | 2.78765i | − | 0.112684i | ||||||
\(613\) | − | 35.0784i | − | 1.41680i | −0.705810 | − | 0.708401i | \(-0.749417\pi\) | ||
0.705810 | − | 0.708401i | \(-0.250583\pi\) | |||||||
\(614\) | −3.67211 | −0.148194 | ||||||||
\(615\) | 4.44748 | + | 17.8999i | 0.179340 | + | 0.721793i | ||||
\(616\) | −2.00000 | −0.0805823 | ||||||||
\(617\) | 4.08065i | 0.164281i | 0.996621 | + | 0.0821403i | \(0.0261756\pi\) | ||||
−0.996621 | + | 0.0821403i | \(0.973824\pi\) | |||||||
\(618\) | − | 4.09171i | − | 0.164593i | ||||||
\(619\) | 34.8781 | 1.40187 | 0.700935 | − | 0.713225i | \(-0.252766\pi\) | ||||
0.700935 | + | 0.713225i | \(0.252766\pi\) | |||||||
\(620\) | −14.6803 | + | 3.64754i | −0.589577 | + | 0.146489i | ||||
\(621\) | −4.70928 | −0.188977 | ||||||||
\(622\) | 14.0410i | 0.562994i | ||||||||
\(623\) | − | 8.08557i | − | 0.323941i | ||||||
\(624\) | 1.94214 | 0.0777479 | ||||||||
\(625\) | 14.0472 | − | 20.6803i | 0.561887 | − | 0.827214i | ||||
\(626\) | −15.0088 | −0.599872 | ||||||||
\(627\) | − | 1.92162i | − | 0.0767422i | ||||||
\(628\) | − | 25.6125i | − | 1.02205i | ||||||
\(629\) | 2.46308 | 0.0982094 | ||||||||
\(630\) | 1.17009 | − | 0.290725i | 0.0466174 | − | 0.0115827i | ||||
\(631\) | 36.4413 | 1.45071 | 0.725353 | − | 0.688377i | \(-0.241676\pi\) | ||||
0.725353 | + | 0.688377i | \(0.241676\pi\) | |||||||
\(632\) | 0.0845208i | 0.00336206i | ||||||||
\(633\) | − | 3.41855i | − | 0.135875i | ||||||
\(634\) | −16.2413 | −0.645023 | ||||||||
\(635\) | 5.73925 | + | 23.0989i | 0.227755 | + | 0.916652i | ||||
\(636\) | −3.86603 | −0.153298 | ||||||||
\(637\) | − | 0.829914i | − | 0.0328824i | ||||||
\(638\) | 3.14342i | 0.124449i | ||||||||
\(639\) | −0.248464 | −0.00982909 | ||||||||
\(640\) | 6.21008 | + | 24.9939i | 0.245475 | + | 0.987969i | ||||
\(641\) | 37.1338 | 1.46670 | 0.733348 | − | 0.679853i | \(-0.237956\pi\) | ||||
0.733348 | + | 0.679853i | \(0.237956\pi\) | |||||||
\(642\) | 7.76260i | 0.306365i | ||||||||
\(643\) | − | 34.6274i | − | 1.36557i | −0.730619 | − | 0.682786i | \(-0.760768\pi\) | ||
0.730619 | − | 0.682786i | \(-0.239232\pi\) | |||||||
\(644\) | −8.04945 | −0.317193 | ||||||||
\(645\) | −11.7877 | + | 2.92881i | −0.464138 | + | 0.115322i | ||||
\(646\) | −1.68980 | −0.0664843 | ||||||||
\(647\) | − | 31.6020i | − | 1.24240i | −0.783651 | − | 0.621201i | \(-0.786645\pi\) | ||
0.783651 | − | 0.621201i | \(-0.213355\pi\) | |||||||
\(648\) | 2.00000i | 0.0785674i | ||||||||
\(649\) | −8.21953 | −0.322645 | ||||||||
\(650\) | −1.97721 | + | 1.04718i | −0.0775527 | + | 0.0410738i | ||||
\(651\) | −3.95774 | −0.155116 | ||||||||
\(652\) | 9.73206i | 0.381137i | ||||||||
\(653\) | 26.9565i | 1.05489i | 0.849589 | + | 0.527445i | \(0.176850\pi\) | ||||
−0.849589 | + | 0.527445i | \(0.823150\pi\) | |||||||
\(654\) | −0.519715 | −0.0203225 | ||||||||
\(655\) | −33.9988 | + | 8.44748i | −1.32844 | + | 0.330070i | ||||
\(656\) | −19.3028 | −0.753649 | ||||||||
\(657\) | − | 2.92162i | − | 0.113983i | ||||||
\(658\) | 3.62475i | 0.141308i | ||||||||
\(659\) | −3.29791 | −0.128468 | −0.0642342 | − | 0.997935i | \(-0.520460\pi\) | ||||
−0.0642342 | + | 0.997935i | \(0.520460\pi\) | |||||||
\(660\) | −0.921622 | − | 3.70928i | −0.0358741 | − | 0.144383i | ||||
\(661\) | 31.4219 | 1.22217 | 0.611084 | − | 0.791565i | \(-0.290734\pi\) | ||||
0.611084 | + | 0.791565i | \(0.290734\pi\) | |||||||
\(662\) | − | 18.0377i | − | 0.701056i | ||||||
\(663\) | 1.35350i | 0.0525657i | ||||||||
\(664\) | −13.4186 | −0.520741 | ||||||||
\(665\) | 1.03612 | + | 4.17009i | 0.0401789 | + | 0.161709i | ||||
\(666\) | −0.814315 | −0.0315541 | ||||||||
\(667\) | 27.4547i | 1.06305i | ||||||||
\(668\) | − | 10.3402i | − | 0.400073i | ||||||
\(669\) | −9.77205 | −0.377809 | ||||||||
\(670\) | 15.8166 | − | 3.92986i | 0.611048 | − | 0.151824i | ||||
\(671\) | 9.38962 | 0.362482 | ||||||||
\(672\) | 5.26180i | 0.202978i | ||||||||
\(673\) | − | 18.1038i | − | 0.697851i | −0.937150 | − | 0.348925i | \(-0.886547\pi\) | ||
0.937150 | − | 0.348925i | \(-0.113453\pi\) | |||||||
\(674\) | −4.57426 | −0.176194 | ||||||||
\(675\) | 2.34017 | + | 4.41855i | 0.0900733 | + | 0.170070i | ||||
\(676\) | 21.0433 | 0.809358 | ||||||||
\(677\) | − | 19.2017i | − | 0.737980i | −0.929433 | − | 0.368990i | \(-0.879704\pi\) | ||
0.929433 | − | 0.368990i | \(-0.120296\pi\) | |||||||
\(678\) | 3.71646i | 0.142730i | ||||||||
\(679\) | 14.0856 | 0.540554 | ||||||||
\(680\) | −7.07838 | + | 1.75872i | −0.271443 | + | 0.0674440i | ||||
\(681\) | −14.8166 | −0.567773 | ||||||||
\(682\) | − | 2.13397i | − | 0.0817139i | ||||||
\(683\) | − | 1.30737i | − | 0.0500250i | −0.999687 | − | 0.0250125i | \(-0.992037\pi\) | ||
0.999687 | − | 0.0250125i | \(-0.00796256\pi\) | |||||||
\(684\) | −3.28458 | −0.125589 | ||||||||
\(685\) | −0.921622 | − | 3.70928i | −0.0352134 | − | 0.141724i | ||||
\(686\) | 0.539189 | 0.0205863 | ||||||||
\(687\) | 3.64423i | 0.139036i | ||||||||
\(688\) | − | 12.7115i | − | 0.484623i | ||||||
\(689\) | 1.87709 | 0.0715116 | ||||||||
\(690\) | 1.36910 | + | 5.51026i | 0.0521208 | + | 0.209772i | ||||
\(691\) | −2.52813 | −0.0961744 | −0.0480872 | − | 0.998843i | \(-0.515313\pi\) | ||||
−0.0480872 | + | 0.998843i | \(0.515313\pi\) | |||||||
\(692\) | 24.7649i | 0.941419i | ||||||||
\(693\) | − | 1.00000i | − | 0.0379869i | ||||||
\(694\) | 9.61425 | 0.364952 | ||||||||
\(695\) | 32.4307 | − | 8.05786i | 1.23017 | − | 0.305652i | ||||
\(696\) | 11.6598 | 0.441965 | ||||||||
\(697\) | − | 13.4524i | − | 0.509546i | ||||||
\(698\) | 10.5581i | 0.399630i | ||||||||
\(699\) | −1.64423 | −0.0621904 | ||||||||
\(700\) | 4.00000 | + | 7.55252i | 0.151186 | + | 0.285458i | ||||
\(701\) | −31.4996 | −1.18972 | −0.594861 | − | 0.803828i | \(-0.702793\pi\) | ||||
−0.594861 | + | 0.803828i | \(0.702793\pi\) | |||||||
\(702\) | − | 0.447480i | − | 0.0168890i | ||||||
\(703\) | − | 2.90215i | − | 0.109457i | ||||||
\(704\) | 1.84324 | 0.0694699 | ||||||||
\(705\) | −14.5886 | + | 3.62475i | −0.549440 | + | 0.136516i | ||||
\(706\) | 11.7009 | 0.440368 | ||||||||
\(707\) | − | 4.52359i | − | 0.170127i | ||||||
\(708\) | 14.0494i | 0.528011i | ||||||||
\(709\) | 28.8804 | 1.08463 | 0.542313 | − | 0.840176i | \(-0.317549\pi\) | ||||
0.542313 | + | 0.840176i | \(0.317549\pi\) | |||||||
\(710\) | 0.0722347 | + | 0.290725i | 0.00271092 | + | 0.0109107i | ||||
\(711\) | −0.0422604 | −0.00158489 | ||||||||
\(712\) | − | 16.1711i | − | 0.606039i | ||||||
\(713\) | − | 18.6381i | − | 0.698002i | ||||||
\(714\) | −0.879362 | −0.0329093 | ||||||||
\(715\) | 0.447480 | + | 1.80098i | 0.0167348 | + | 0.0673530i | ||||
\(716\) | 11.8888 | 0.444306 | ||||||||
\(717\) | 14.7431i | 0.550592i | ||||||||
\(718\) | − | 9.39908i | − | 0.350770i | ||||||
\(719\) | 17.9516 | 0.669482 | 0.334741 | − | 0.942310i | \(-0.391351\pi\) | ||||
0.334741 | + | 0.942310i | \(0.391351\pi\) | |||||||
\(720\) | −5.07838 | + | 1.26180i | −0.189260 | + | 0.0470243i | ||||
\(721\) | 7.58864 | 0.282616 | ||||||||
\(722\) | − | 8.25356i | − | 0.307166i | ||||||
\(723\) | 20.2329i | 0.752468i | ||||||||
\(724\) | 0.313511 | 0.0116515 | ||||||||
\(725\) | 25.7598 | − | 13.6430i | 0.956694 | − | 0.506689i | ||||
\(726\) | 0.539189 | 0.0200112 | ||||||||
\(727\) | 24.8732i | 0.922497i | 0.887271 | + | 0.461248i | \(0.152598\pi\) | ||||
−0.887271 | + | 0.461248i | \(0.847402\pi\) | |||||||
\(728\) | − | 1.65983i | − | 0.0615173i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −3.41855 | + | 0.849388i | −0.126526 | + | 0.0314372i | ||||
\(731\) | 8.85884 | 0.327656 | ||||||||
\(732\) | − | 16.0494i | − | 0.593205i | ||||||
\(733\) | − | 8.29914i | − | 0.306536i | −0.988185 | − | 0.153268i | \(-0.951020\pi\) | ||
0.988185 | − | 0.153268i | \(-0.0489797\pi\) | |||||||
\(734\) | −6.10608 | −0.225380 | ||||||||
\(735\) | 0.539189 | + | 2.17009i | 0.0198883 | + | 0.0800448i | ||||
\(736\) | −24.7792 | −0.913375 | ||||||||
\(737\) | − | 13.5174i | − | 0.497922i | ||||||
\(738\) | 4.44748i | 0.163714i | ||||||||
\(739\) | 23.1240 | 0.850628 | 0.425314 | − | 0.905046i | \(-0.360164\pi\) | ||||
0.425314 | + | 0.905046i | \(0.360164\pi\) | |||||||
\(740\) | −1.39189 | − | 5.60197i | −0.0511668 | − | 0.205932i | ||||
\(741\) | 1.59478 | 0.0585857 | ||||||||
\(742\) | 1.21953i | 0.0447705i | ||||||||
\(743\) | − | 52.5113i | − | 1.92645i | −0.268691 | − | 0.963226i | \(-0.586591\pi\) | ||
0.268691 | − | 0.963226i | \(-0.413409\pi\) | |||||||
\(744\) | −7.91548 | −0.290196 | ||||||||
\(745\) | 27.1773 | − | 6.75258i | 0.995698 | − | 0.247395i | ||||
\(746\) | 7.92058 | 0.289993 | ||||||||
\(747\) | − | 6.70928i | − | 0.245480i | ||||||
\(748\) | 2.78765i | 0.101927i | ||||||||
\(749\) | −14.3968 | −0.526048 | ||||||||
\(750\) | 4.48974 | − | 4.02279i | 0.163942 | − | 0.146891i | ||||
\(751\) | 23.4703 | 0.856442 | 0.428221 | − | 0.903674i | \(-0.359140\pi\) | ||||
0.428221 | + | 0.903674i | \(0.359140\pi\) | |||||||
\(752\) | − | 15.7321i | − | 0.573689i | ||||||
\(753\) | 10.8371i | 0.394926i | ||||||||
\(754\) | −2.60877 | −0.0950058 | ||||||||
\(755\) | −33.1194 | + | 8.22899i | −1.20534 | + | 0.299484i | ||||
\(756\) | −1.70928 | −0.0621657 | ||||||||
\(757\) | 49.5897i | 1.80237i | 0.433437 | + | 0.901184i | \(0.357301\pi\) | ||||
−0.433437 | + | 0.901184i | \(0.642699\pi\) | |||||||
\(758\) | − | 15.3184i | − | 0.556390i | ||||||
\(759\) | 4.70928 | 0.170936 | ||||||||
\(760\) | 2.07223 | + | 8.34017i | 0.0751679 | + | 0.302530i | ||||
\(761\) | 45.8264 | 1.66121 | 0.830603 | − | 0.556865i | \(-0.187996\pi\) | ||||
0.830603 | + | 0.556865i | \(0.187996\pi\) | |||||||
\(762\) | 5.73925i | 0.207911i | ||||||||
\(763\) | − | 0.963883i | − | 0.0348949i | ||||||
\(764\) | −46.0410 | −1.66571 | ||||||||
\(765\) | −0.879362 | − | 3.53919i | −0.0317934 | − | 0.127960i | ||||
\(766\) | −2.56320 | −0.0926121 | ||||||||
\(767\) | − | 6.82150i | − | 0.246310i | ||||||
\(768\) | 2.52359i | 0.0910622i | ||||||||
\(769\) | 5.47027 | 0.197263 | 0.0986314 | − | 0.995124i | \(-0.468554\pi\) | ||||
0.0986314 | + | 0.995124i | \(0.468554\pi\) | |||||||
\(770\) | −1.17009 | + | 0.290725i | −0.0421670 | + | 0.0104770i | ||||
\(771\) | 6.51253 | 0.234543 | ||||||||
\(772\) | − | 12.4124i | − | 0.446732i | ||||||
\(773\) | − | 21.7998i | − | 0.784083i | −0.919948 | − | 0.392041i | \(-0.871769\pi\) | ||
0.919948 | − | 0.392041i | \(-0.128231\pi\) | |||||||
\(774\) | −2.92881 | −0.105274 | ||||||||
\(775\) | −17.4875 | + | 9.26180i | −0.628169 | + | 0.332694i | ||||
\(776\) | 28.1711 | 1.01128 | ||||||||
\(777\) | − | 1.51026i | − | 0.0541803i | ||||||
\(778\) | 16.7010i | 0.598761i | ||||||||
\(779\) | −15.8504 | −0.567901 | ||||||||
\(780\) | 3.07838 | − | 0.764867i | 0.110224 | − | 0.0273866i | ||||
\(781\) | 0.248464 | 0.00889075 | ||||||||
\(782\) | − | 4.14116i | − | 0.148087i | ||||||
\(783\) | 5.82991i | 0.208344i | ||||||||
\(784\) | −2.34017 | −0.0835776 | ||||||||
\(785\) | −8.07942 | − | 32.5174i | −0.288367 | − | 1.16060i | ||||
\(786\) | −8.44748 | −0.301312 | ||||||||
\(787\) | 7.05172i | 0.251367i | 0.992070 | + | 0.125683i | \(0.0401123\pi\) | ||||
−0.992070 | + | 0.125683i | \(0.959888\pi\) | |||||||
\(788\) | − | 0.0988967i | − | 0.00352305i | ||||||
\(789\) | 20.8371 | 0.741820 | ||||||||
\(790\) | 0.0122861 | + | 0.0494483i | 0.000437121 | + | 0.00175929i | ||||
\(791\) | −6.89269 | −0.245076 | ||||||||
\(792\) | − | 2.00000i | − | 0.0710669i | ||||||
\(793\) | 7.79257i | 0.276722i | ||||||||
\(794\) | −6.87814 | −0.244096 | ||||||||
\(795\) | −4.90829 | + | 1.21953i | −0.174079 | + | 0.0432524i | ||||
\(796\) | −31.7854 | −1.12660 | ||||||||
\(797\) | − | 18.8104i | − | 0.666300i | −0.942874 | − | 0.333150i | \(-0.891888\pi\) | ||
0.942874 | − | 0.333150i | \(-0.108112\pi\) | |||||||
\(798\) | 1.03612i | 0.0366782i | ||||||||
\(799\) | 10.9639 | 0.387874 | ||||||||
\(800\) | 12.3135 | + | 23.2495i | 0.435348 | + | 0.821994i | ||||
\(801\) | 8.08557 | 0.285689 | ||||||||
\(802\) | 4.69860i | 0.165913i | ||||||||
\(803\) | 2.92162i | 0.103102i | ||||||||
\(804\) | −23.1050 | −0.814852 | ||||||||
\(805\) | −10.2195 | + | 2.53919i | −0.360191 | + | 0.0894946i | ||||
\(806\) | 1.77101 | 0.0623812 | ||||||||
\(807\) | 3.93722i | 0.138597i | ||||||||
\(808\) | − | 9.04718i | − | 0.318279i | ||||||
\(809\) | 38.5814 | 1.35645 | 0.678226 | − | 0.734854i | \(-0.262749\pi\) | ||||
0.678226 | + | 0.734854i | \(0.262749\pi\) | |||||||
\(810\) | 0.290725 | + | 1.17009i | 0.0102150 | + | 0.0411126i | ||||
\(811\) | 24.5503 | 0.862076 | 0.431038 | − | 0.902334i | \(-0.358147\pi\) | ||||
0.431038 | + | 0.902334i | \(0.358147\pi\) | |||||||
\(812\) | 9.96493i | 0.349700i | ||||||||
\(813\) | 18.8348i | 0.660566i | ||||||||
\(814\) | 0.814315 | 0.0285417 | ||||||||
\(815\) | 3.06997 | + | 12.3558i | 0.107536 | + | 0.432804i | ||||
\(816\) | 3.81658 | 0.133607 | ||||||||
\(817\) | − | 10.4380i | − | 0.365180i | ||||||
\(818\) | 2.96266i | 0.103587i | ||||||||
\(819\) | 0.829914 | 0.0289995 | ||||||||
\(820\) | −30.5958 | + | 7.60197i | −1.06845 | + | 0.265472i | ||||
\(821\) | 21.2667 | 0.742213 | 0.371107 | − | 0.928590i | \(-0.378978\pi\) | ||||
0.371107 | + | 0.928590i | \(0.378978\pi\) | |||||||
\(822\) | − | 0.921622i | − | 0.0321453i | ||||||
\(823\) | − | 10.3908i | − | 0.362202i | −0.983464 | − | 0.181101i | \(-0.942034\pi\) | ||
0.983464 | − | 0.181101i | \(-0.0579661\pi\) | |||||||
\(824\) | 15.1773 | 0.528725 | ||||||||
\(825\) | −2.34017 | − | 4.41855i | −0.0814744 | − | 0.153834i | ||||
\(826\) | 4.43188 | 0.154205 | ||||||||
\(827\) | − | 24.4703i | − | 0.850915i | −0.904979 | − | 0.425457i | \(-0.860113\pi\) | ||
0.904979 | − | 0.425457i | \(-0.139887\pi\) | |||||||
\(828\) | − | 8.04945i | − | 0.279738i | ||||||
\(829\) | 12.3668 | 0.429518 | 0.214759 | − | 0.976667i | \(-0.431103\pi\) | ||||
0.214759 | + | 0.976667i | \(0.431103\pi\) | |||||||
\(830\) | −7.85043 | + | 1.95055i | −0.272492 | + | 0.0677046i | ||||
\(831\) | 1.45362 | 0.0504256 | ||||||||
\(832\) | 1.52973i | 0.0530340i | ||||||||
\(833\) | − | 1.63090i | − | 0.0565073i | ||||||
\(834\) | 8.05786 | 0.279021 | ||||||||
\(835\) | −3.26180 | − | 13.1278i | −0.112879 | − | 0.454307i | ||||
\(836\) | 3.28458 | 0.113600 | ||||||||
\(837\) | − | 3.95774i | − | 0.136799i | ||||||
\(838\) | − | 11.8915i | − | 0.410784i | ||||||
\(839\) | 8.41136 | 0.290392 | 0.145196 | − | 0.989403i | \(-0.453619\pi\) | ||||
0.145196 | + | 0.989403i | \(0.453619\pi\) | |||||||
\(840\) | 1.07838 | + | 4.34017i | 0.0372076 | + | 0.149750i | ||||
\(841\) | 4.98789 | 0.171996 | ||||||||
\(842\) | 6.59705i | 0.227349i | ||||||||
\(843\) | 18.8143i | 0.647999i | ||||||||
\(844\) | 5.84324 | 0.201133 | ||||||||
\(845\) | 26.7165 | − | 6.63809i | 0.919074 | − | 0.228357i | ||||
\(846\) | −3.62475 | −0.124622 | ||||||||
\(847\) | 1.00000i | 0.0343604i | ||||||||
\(848\) | − | 5.29299i | − | 0.181762i | ||||||
\(849\) | −13.0589 | −0.448180 | ||||||||
\(850\) | −3.88550 | + | 2.05786i | −0.133272 | + | 0.0705840i | ||||
\(851\) | 7.11223 | 0.243804 | ||||||||
\(852\) | − | 0.424694i | − | 0.0145498i | ||||||
\(853\) | − | 4.21727i | − | 0.144396i | −0.997390 | − | 0.0721982i | \(-0.976999\pi\) | ||
0.997390 | − | 0.0721982i | \(-0.0230014\pi\) | |||||||
\(854\) | −5.06278 | −0.173245 | ||||||||
\(855\) | −4.17009 | + | 1.03612i | −0.142614 | + | 0.0354345i | ||||
\(856\) | −28.7936 | −0.984146 | ||||||||
\(857\) | − | 52.9192i | − | 1.80768i | −0.427866 | − | 0.903842i | \(-0.640734\pi\) | ||
0.427866 | − | 0.903842i | \(-0.359266\pi\) | |||||||
\(858\) | 0.447480i | 0.0152767i | ||||||||
\(859\) | −40.8092 | −1.39239 | −0.696196 | − | 0.717851i | \(-0.745126\pi\) | ||||
−0.696196 | + | 0.717851i | \(0.745126\pi\) | |||||||
\(860\) | −5.00614 | − | 20.1483i | −0.170708 | − | 0.687053i | ||||
\(861\) | −8.24846 | −0.281107 | ||||||||
\(862\) | 9.74435i | 0.331894i | ||||||||
\(863\) | − | 27.2122i | − | 0.926313i | −0.886277 | − | 0.463157i | \(-0.846717\pi\) | ||
0.886277 | − | 0.463157i | \(-0.153283\pi\) | |||||||
\(864\) | −5.26180 | −0.179010 | ||||||||
\(865\) | 7.81205 | + | 31.4413i | 0.265618 | + | 1.06904i | ||||
\(866\) | 17.3295 | 0.588880 | ||||||||
\(867\) | − | 14.3402i | − | 0.487018i | ||||||
\(868\) | − | 6.76487i | − | 0.229615i | ||||||
\(869\) | 0.0422604 | 0.00143359 | ||||||||
\(870\) | 6.82150 | − | 1.69490i | 0.231271 | − | 0.0574625i | ||||
\(871\) | 11.2183 | 0.380118 | ||||||||
\(872\) | − | 1.92777i | − | 0.0652824i | ||||||
\(873\) | 14.0856i | 0.476724i | ||||||||
\(874\) | −4.87936 | −0.165047 | ||||||||
\(875\) | 7.46081 | + | 8.32684i | 0.252221 | + | 0.281499i | ||||
\(876\) | 4.99386 | 0.168727 | ||||||||
\(877\) | 47.7454i | 1.61225i | 0.591747 | + | 0.806124i | \(0.298438\pi\) | ||||
−0.591747 | + | 0.806124i | \(0.701562\pi\) | |||||||
\(878\) | − | 4.25443i | − | 0.143580i | ||||||
\(879\) | −23.7792 | −0.802054 | ||||||||
\(880\) | 5.07838 | − | 1.26180i | 0.171192 | − | 0.0425351i | ||||
\(881\) | 12.2157 | 0.411556 | 0.205778 | − | 0.978599i | \(-0.434028\pi\) | ||||
0.205778 | + | 0.978599i | \(0.434028\pi\) | |||||||
\(882\) | 0.539189i | 0.0181554i | ||||||||
\(883\) | − | 0.769402i | − | 0.0258924i | −0.999916 | − | 0.0129462i | \(-0.995879\pi\) | ||
0.999916 | − | 0.0129462i | \(-0.00412102\pi\) | |||||||
\(884\) | −2.31351 | −0.0778118 | ||||||||
\(885\) | 4.43188 | + | 17.8371i | 0.148976 | + | 0.599588i | ||||
\(886\) | −13.3028 | −0.446917 | ||||||||
\(887\) | − | 45.7382i | − | 1.53574i | −0.640607 | − | 0.767869i | \(-0.721317\pi\) | ||
0.640607 | − | 0.767869i | \(-0.278683\pi\) | |||||||
\(888\) | − | 3.02052i | − | 0.101362i | ||||||
\(889\) | −10.6442 | −0.356996 | ||||||||
\(890\) | −2.35067 | − | 9.46081i | −0.0787947 | − | 0.317127i | ||||
\(891\) | 1.00000 | 0.0335013 | ||||||||
\(892\) | − | 16.7031i | − | 0.559262i | ||||||
\(893\) | − | 12.9183i | − | 0.432295i | ||||||
\(894\) | 6.75258 | 0.225840 | ||||||||
\(895\) | 15.0940 | − | 3.75031i | 0.504536 | − | 0.125359i | ||||
\(896\) | −11.5174 | −0.384771 | ||||||||
\(897\) | 3.90829i | 0.130494i | ||||||||
\(898\) | 10.3440i | 0.345185i | ||||||||
\(899\) | −23.0733 | −0.769537 | ||||||||
\(900\) | −7.55252 | + | 4.00000i | −0.251751 | + | 0.133333i | ||||
\(901\) | 3.68876 | 0.122890 | ||||||||
\(902\) | − | 4.44748i | − | 0.148085i | ||||||
\(903\) | − | 5.43188i | − | 0.180762i | ||||||
\(904\) | −13.7854 | −0.458495 | ||||||||
\(905\) | 0.398032 | − | 0.0988967i | 0.0132310 | − | 0.00328744i | ||||
\(906\) | −8.22899 | −0.273390 | ||||||||
\(907\) | − | 22.7910i | − | 0.756762i | −0.925650 | − | 0.378381i | \(-0.876481\pi\) | ||
0.925650 | − | 0.378381i | \(-0.123519\pi\) | |||||||
\(908\) | − | 25.3256i | − | 0.840460i | ||||||
\(909\) | 4.52359 | 0.150038 | ||||||||
\(910\) | −0.241276 | − | 0.971071i | −0.00799823 | − | 0.0321907i | ||||
\(911\) | −20.9171 | −0.693014 | −0.346507 | − | 0.938047i | \(-0.612632\pi\) | ||||
−0.346507 | + | 0.938047i | \(0.612632\pi\) | |||||||
\(912\) | − | 4.49693i | − | 0.148908i | ||||||
\(913\) | 6.70928i | 0.222045i | ||||||||
\(914\) | −19.8939 | −0.658032 | ||||||||
\(915\) | −5.06278 | − | 20.3763i | −0.167370 | − | 0.673619i | ||||
\(916\) | −6.22899 | −0.205812 | ||||||||
\(917\) | − | 15.6670i | − | 0.517370i | ||||||
\(918\) | − | 0.879362i | − | 0.0290233i | ||||||
\(919\) | −32.8104 | −1.08232 | −0.541158 | − | 0.840921i | \(-0.682014\pi\) | ||||
−0.541158 | + | 0.840921i | \(0.682014\pi\) | |||||||
\(920\) | −20.4391 | + | 5.07838i | −0.673856 | + | 0.167429i | ||||
\(921\) | 6.81044 | 0.224412 | ||||||||
\(922\) | − | 6.40012i | − | 0.210777i | ||||||
\(923\) | 0.206204i | 0.00678728i | ||||||||
\(924\) | 1.70928 | 0.0562310 | ||||||||
\(925\) | −3.53427 | − | 6.67316i | −0.116206 | − | 0.219412i | ||||
\(926\) | 14.3714 | 0.472273 | ||||||||
\(927\) | 7.58864i | 0.249244i | ||||||||
\(928\) | 30.6758i | 1.00698i | ||||||||
\(929\) | −5.48237 | −0.179871 | −0.0899354 | − | 0.995948i | \(-0.528666\pi\) | ||||
−0.0899354 | + | 0.995948i | \(0.528666\pi\) | |||||||
\(930\) | −4.63090 | + | 1.15061i | −0.151853 | + | 0.0377301i | ||||
\(931\) | −1.92162 | −0.0629786 | ||||||||
\(932\) | − | 2.81044i | − | 0.0920590i | ||||||
\(933\) | − | 26.0410i | − | 0.852545i | ||||||
\(934\) | 0.175666 | 0.00574797 | ||||||||
\(935\) | 0.879362 | + | 3.53919i | 0.0287582 | + | 0.115744i | ||||
\(936\) | 1.65983 | 0.0542531 | ||||||||
\(937\) | 26.8176i | 0.876094i | 0.898952 | + | 0.438047i | \(0.144330\pi\) | ||||
−0.898952 | + | 0.438047i | \(0.855670\pi\) | |||||||
\(938\) | 7.28846i | 0.237977i | ||||||||
\(939\) | 27.8359 | 0.908390 | ||||||||
\(940\) | −6.19570 | − | 24.9360i | −0.202082 | − | 0.813323i | ||||
\(941\) | 6.64650 | 0.216670 | 0.108335 | − | 0.994114i | \(-0.465448\pi\) | ||||
0.108335 | + | 0.994114i | \(0.465448\pi\) | |||||||
\(942\) | − | 8.07942i | − | 0.263242i | ||||||
\(943\) | − | 38.8443i | − | 1.26494i | ||||||
\(944\) | −19.2351 | −0.626050 | ||||||||
\(945\) | −2.17009 | + | 0.539189i | −0.0705929 | + | 0.0175398i | ||||
\(946\) | 2.92881 | 0.0952238 | ||||||||
\(947\) | − | 19.6765i | − | 0.639399i | −0.947519 | − | 0.319700i | \(-0.896418\pi\) | ||
0.947519 | − | 0.319700i | \(-0.103582\pi\) | |||||||
\(948\) | − | 0.0722347i | − | 0.00234607i | ||||||
\(949\) | −2.42469 | −0.0787089 | ||||||||
\(950\) | 2.42469 | + | 4.57814i | 0.0786675 | + | 0.148534i | ||||
\(951\) | 30.1217 | 0.976762 | ||||||||
\(952\) | − | 3.26180i | − | 0.105715i | ||||||
\(953\) | 10.8781i | 0.352377i | 0.984356 | + | 0.176189i | \(0.0563769\pi\) | ||||
−0.984356 | + | 0.176189i | \(0.943623\pi\) | |||||||
\(954\) | −1.21953 | −0.0394839 | ||||||||
\(955\) | −58.4534 | + | 14.5236i | −1.89151 | + | 0.469972i | ||||
\(956\) | −25.2001 | −0.815028 | ||||||||
\(957\) | − | 5.82991i | − | 0.188454i | ||||||
\(958\) | − | 5.02893i | − | 0.162477i | ||||||
\(959\) | 1.70928 | 0.0551954 | ||||||||
\(960\) | −0.993857 | − | 4.00000i | −0.0320766 | − | 0.129099i | ||||
\(961\) | −15.3363 | −0.494719 | ||||||||
\(962\) | 0.675811i | 0.0217890i | ||||||||
\(963\) | − | 14.3968i | − | 0.463931i | ||||||
\(964\) | −34.5835 | −1.11386 | ||||||||
\(965\) | −3.91548 | − | 15.7587i | −0.126044 | − | 0.507291i | ||||
\(966\) | −2.53919 | −0.0816971 | ||||||||
\(967\) | − | 31.0794i | − | 0.999447i | −0.866185 | − | 0.499723i | \(-0.833435\pi\) | ||
0.866185 | − | 0.499723i | \(-0.166565\pi\) | |||||||
\(968\) | 2.00000i | 0.0642824i | ||||||||
\(969\) | 3.13397 | 0.100678 | ||||||||
\(970\) | 16.4813 | − | 4.09502i | 0.529184 | − | 0.131483i | ||||
\(971\) | 28.0856 | 0.901309 | 0.450654 | − | 0.892699i | \(-0.351191\pi\) | ||||
0.450654 | + | 0.892699i | \(0.351191\pi\) | |||||||
\(972\) | − | 1.70928i | − | 0.0548250i | ||||||
\(973\) | 14.9444i | 0.479096i | ||||||||
\(974\) | −11.7854 | −0.377628 | ||||||||
\(975\) | 3.66701 | − | 1.94214i | 0.117438 | − | 0.0621983i | ||||
\(976\) | 21.9733 | 0.703349 | ||||||||
\(977\) | 2.88882i | 0.0924215i | 0.998932 | + | 0.0462107i | \(0.0147146\pi\) | ||||
−0.998932 | + | 0.0462107i | \(0.985285\pi\) | |||||||
\(978\) | 3.06997i | 0.0981667i | ||||||||
\(979\) | −8.08557 | −0.258416 | ||||||||
\(980\) | −3.70928 | + | 0.921622i | −0.118488 | + | 0.0294401i | ||||
\(981\) | 0.963883 | 0.0307744 | ||||||||
\(982\) | − | 0.485206i | − | 0.0154835i | ||||||
\(983\) | 39.7776i | 1.26871i | 0.773042 | + | 0.634355i | \(0.218734\pi\) | ||||
−0.773042 | + | 0.634355i | \(0.781266\pi\) | |||||||
\(984\) | −16.4969 | −0.525903 | ||||||||
\(985\) | −0.0311968 | − | 0.125559i | −0.000994014 | − | 0.00400063i | ||||
\(986\) | −5.12660 | −0.163264 | ||||||||
\(987\) | − | 6.72261i | − | 0.213983i | ||||||
\(988\) | 2.72592i | 0.0867230i | ||||||||
\(989\) | 25.5802 | 0.813404 | ||||||||
\(990\) | −0.290725 | − | 1.17009i | −0.00923984 | − | 0.0371878i | ||||
\(991\) | −36.3028 | −1.15320 | −0.576599 | − | 0.817027i | \(-0.695620\pi\) | ||||
−0.576599 | + | 0.817027i | \(0.695620\pi\) | |||||||
\(992\) | − | 20.8248i | − | 0.661189i | ||||||
\(993\) | 33.4534i | 1.06161i | ||||||||
\(994\) | −0.133969 | −0.00424924 | ||||||||
\(995\) | −40.3545 | + | 10.0267i | −1.27933 | + | 0.317867i | ||||
\(996\) | 11.4680 | 0.363377 | ||||||||
\(997\) | 56.1933i | 1.77966i | 0.456294 | + | 0.889829i | \(0.349177\pi\) | ||||
−0.456294 | + | 0.889829i | \(0.650823\pi\) | |||||||
\(998\) | 10.3246i | 0.326819i | ||||||||
\(999\) | 1.51026 | 0.0477825 |
(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 | 1155.2.c.d.694.4 | yes | 6 | |
5.2 | odd | 4 | 5775.2.a.bs.1.2 | 3 | |||
5.3 | odd | 4 | 5775.2.a.bv.1.2 | 3 | |||
5.4 | even | 2 | inner | 1155.2.c.d.694.3 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.c.d.694.3 | ✓ | 6 | 5.4 | even | 2 | inner | |
1155.2.c.d.694.4 | yes | 6 | 1.1 | even | 1 | trivial | |
5775.2.a.bs.1.2 | 3 | 5.2 | odd | 4 | |||
5775.2.a.bv.1.2 | 3 | 5.3 | odd | 4 |