Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(127,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(18))
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("666.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.x (of order \(9\), degree \(6\), 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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 74) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 271.2 | ||
Root | \(-2.20976 + 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 666.271 |
Dual form | 666.2.x.g.145.2 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 1.43969 | − | 0.524005i | 0.643850 | − | 0.234342i | 0.000601695 | − | 1.00000i | \(-0.499808\pi\) |
0.643248 | + | 0.765658i | \(0.277586\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.53424 | − | 1.65033i | 1.71378 | − | 0.623765i | 0.716509 | − | 0.697578i | \(-0.245739\pi\) |
0.997272 | + | 0.0738128i | \(0.0235167\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.766044 | + | 1.32683i | −0.242245 | + | 0.419580i | ||||
\(11\) | −0.546896 | − | 0.947252i | −0.164895 | − | 0.285607i | 0.771723 | − | 0.635959i | \(-0.219395\pi\) |
−0.936618 | + | 0.350352i | \(0.886062\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.307284 | − | 1.74269i | 0.0852253 | − | 0.483337i | −0.912082 | − | 0.410007i | \(-0.865526\pi\) |
0.997308 | − | 0.0733298i | \(-0.0233626\pi\) | |||||||
\(14\) | −2.41262 | + | 4.17878i | −0.644799 | + | 1.11682i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −0.511542 | − | 2.90110i | −0.124067 | − | 0.703619i | −0.981858 | − | 0.189620i | \(-0.939274\pi\) |
0.857791 | − | 0.513999i | \(-0.171837\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.632167 | − | 0.530451i | −0.145029 | − | 0.121694i | 0.567387 | − | 0.823451i | \(-0.307954\pi\) |
−0.712416 | + | 0.701758i | \(0.752399\pi\) | |||||||
\(20\) | −0.266044 | − | 1.50881i | −0.0594893 | − | 0.337381i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.02783 | + | 0.374099i | 0.219134 | + | 0.0797582i | ||||
\(23\) | −0.121620 | + | 0.210653i | −0.0253596 | + | 0.0439241i | −0.878427 | − | 0.477877i | \(-0.841406\pi\) |
0.853067 | + | 0.521801i | \(0.174740\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.03209 | + | 1.70513i | −0.406418 | + | 0.341025i | ||||
\(26\) | 0.884789 | + | 1.53250i | 0.173521 | + | 0.300548i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.837893 | − | 4.75193i | −0.158347 | − | 0.898030i | ||||
\(29\) | −2.78587 | − | 4.82526i | −0.517322 | − | 0.896028i | −0.999798 | − | 0.0201189i | \(-0.993596\pi\) |
0.482475 | − | 0.875910i | \(-0.339738\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.73495 | −1.03003 | −0.515013 | − | 0.857182i | \(-0.672213\pi\) | ||||
−0.515013 | + | 0.857182i | \(0.672213\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.25665 | + | 1.89356i | 0.387013 | + | 0.324742i | ||||
\(35\) | 5.66313 | − | 4.75193i | 0.957243 | − | 0.803223i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.84038 | + | 1.69999i | 0.960152 | + | 0.279477i | ||||
\(38\) | 0.825235 | 0.133871 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.17365 | + | 0.984808i | 0.185570 | + | 0.155712i | ||||
\(41\) | −0.505653 | + | 2.86770i | −0.0789697 | + | 0.447859i | 0.919526 | + | 0.393029i | \(0.128573\pi\) |
−0.998496 | + | 0.0548301i | \(0.982538\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.37987 | 0.667924 | 0.333962 | − | 0.942587i | \(-0.391614\pi\) | ||||
0.333962 | + | 0.942587i | \(0.391614\pi\) | |||||||
\(44\) | −1.02783 | + | 0.374099i | −0.154951 | + | 0.0563975i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.0422383 | − | 0.239545i | −0.00622770 | − | 0.0353191i | ||||
\(47\) | 1.13249 | − | 1.96153i | 0.165191 | − | 0.286119i | −0.771532 | − | 0.636190i | \(-0.780509\pi\) |
0.936723 | + | 0.350071i | \(0.113843\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 12.4734 | − | 10.4664i | 1.78192 | − | 1.49521i | ||||
\(50\) | 0.460637 | − | 2.61240i | 0.0651439 | − | 0.369450i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.66286 | − | 0.605232i | −0.230597 | − | 0.0839305i | ||||
\(53\) | 5.77859 | + | 2.10324i | 0.793751 | + | 0.288902i | 0.706894 | − | 0.707319i | \(-0.250096\pi\) |
0.0868564 | + | 0.996221i | \(0.472318\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.28373 | − | 1.07717i | −0.173098 | − | 0.145246i | ||||
\(56\) | 3.69634 | + | 3.10160i | 0.493945 | + | 0.414469i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.23571 | + | 1.90564i | 0.687483 | + | 0.250223i | ||||
\(59\) | 8.29301 | + | 3.01841i | 1.07966 | + | 0.392963i | 0.819780 | − | 0.572678i | \(-0.194096\pi\) |
0.259878 | + | 0.965642i | \(0.416318\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.04075 | + | 11.5737i | −0.261292 | + | 1.48186i | 0.518098 | + | 0.855321i | \(0.326640\pi\) |
−0.779390 | + | 0.626539i | \(0.784471\pi\) | |||||||
\(62\) | 4.39322 | − | 3.68635i | 0.557940 | − | 0.468167i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −0.470787 | − | 2.66996i | −0.0583939 | − | 0.331168i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.44220 | + | 3.07271i | −1.03138 | + | 0.375391i | −0.801606 | − | 0.597853i | \(-0.796021\pi\) |
−0.229773 | + | 0.973244i | \(0.573798\pi\) | |||||||
\(68\) | −2.94585 | −0.357237 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.28373 | + | 7.28038i | −0.153435 | + | 0.870172i | ||||
\(71\) | 0.933535 | + | 0.783329i | 0.110790 | + | 0.0929640i | 0.696500 | − | 0.717557i | \(-0.254740\pi\) |
−0.585710 | + | 0.810521i | \(0.699184\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.79418 | 1.02928 | 0.514640 | − | 0.857406i | \(-0.327925\pi\) | ||||
0.514640 | + | 0.857406i | \(0.327925\pi\) | |||||||
\(74\) | −5.56672 | + | 2.45185i | −0.647119 | + | 0.285022i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.632167 | + | 0.530451i | −0.0725145 | + | 0.0608469i | ||||
\(77\) | −4.04303 | − | 3.39251i | −0.460746 | − | 0.386612i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.02379 | + | 0.736599i | −0.227694 | + | 0.0828739i | −0.453348 | − | 0.891334i | \(-0.649770\pi\) |
0.225654 | + | 0.974208i | \(0.427548\pi\) | |||||||
\(80\) | −1.53209 | −0.171293 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.45597 | − | 2.52181i | −0.160785 | − | 0.278488i | ||||
\(83\) | −0.884528 | − | 5.01641i | −0.0970895 | − | 0.550622i | −0.994087 | − | 0.108586i | \(-0.965368\pi\) |
0.896997 | − | 0.442036i | \(-0.145744\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.25665 | − | 3.90864i | −0.244768 | − | 0.423951i | ||||
\(86\) | −3.35518 | + | 2.81533i | −0.361798 | + | 0.303584i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.546896 | − | 0.947252i | 0.0582993 | − | 0.100977i | ||||
\(89\) | 8.43486 | + | 3.07004i | 0.894093 | + | 0.325423i | 0.747883 | − | 0.663830i | \(-0.231070\pi\) |
0.146210 | + | 0.989254i | \(0.453292\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.48272 | − | 8.40891i | −0.155431 | − | 0.881494i | ||||
\(92\) | 0.186333 | + | 0.156352i | 0.0194266 | + | 0.0163008i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.393310 | + | 2.23057i | 0.0405669 | + | 0.230066i | ||||
\(95\) | −1.18809 | − | 0.432428i | −0.121895 | − | 0.0443661i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.17954 | + | 3.77507i | −0.221298 | + | 0.383300i | −0.955203 | − | 0.295953i | \(-0.904363\pi\) |
0.733904 | + | 0.679253i | \(0.237696\pi\) | |||||||
\(98\) | −2.82750 | + | 16.0355i | −0.285620 | + | 1.61983i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.32635 | + | 2.29731i | 0.132635 | + | 0.229731i | ||||
\(101\) | −2.19444 | + | 3.80089i | −0.218355 | + | 0.378203i | −0.954305 | − | 0.298833i | \(-0.903403\pi\) |
0.735950 | + | 0.677036i | \(0.236736\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.32262 | − | 10.9511i | −0.622987 | − | 1.07904i | −0.988927 | − | 0.148406i | \(-0.952586\pi\) |
0.365940 | − | 0.930638i | \(-0.380748\pi\) | |||||||
\(104\) | 1.66286 | − | 0.605232i | 0.163057 | − | 0.0593478i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.77859 | + | 2.10324i | −0.561266 | + | 0.204284i | ||||
\(107\) | −3.27495 | + | 18.5731i | −0.316601 | + | 1.79553i | 0.246497 | + | 0.969144i | \(0.420721\pi\) |
−0.563098 | + | 0.826390i | \(0.690391\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.44574 | + | 5.40862i | −0.617390 | + | 0.518052i | −0.896982 | − | 0.442067i | \(-0.854245\pi\) |
0.279592 | + | 0.960119i | \(0.409801\pi\) | |||||||
\(110\) | 1.67579 | 0.159780 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.82524 | −0.455942 | ||||||||
\(113\) | 4.89090 | − | 4.10395i | 0.460097 | − | 0.386067i | −0.383070 | − | 0.923719i | \(-0.625133\pi\) |
0.843167 | + | 0.537652i | \(0.180689\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0647129 | + | 0.367005i | −0.00603451 | + | 0.0342234i | ||||
\(116\) | −5.23571 | + | 1.90564i | −0.486124 | + | 0.176935i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.29301 | + | 3.01841i | −0.763433 | + | 0.277867i | ||||
\(119\) | −7.10721 | − | 12.3100i | −0.651517 | − | 1.12846i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.90181 | − | 8.49018i | 0.445619 | − | 0.771835i | ||||
\(122\) | −5.87612 | − | 10.1777i | −0.531999 | − | 0.921449i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.995863 | + | 5.64782i | −0.0894312 | + | 0.507189i | ||||
\(125\) | −5.86231 | + | 10.1538i | −0.524341 | + | 0.908185i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.46592 | + | 1.62546i | 0.396287 | + | 0.144237i | 0.532474 | − | 0.846447i | \(-0.321263\pi\) |
−0.136187 | + | 0.990683i | \(0.543485\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.07686 | + | 1.74269i | 0.182153 | + | 0.152844i | ||||
\(131\) | −3.12341 | − | 17.7137i | −0.272893 | − | 1.54765i | −0.745575 | − | 0.666422i | \(-0.767825\pi\) |
0.472682 | − | 0.881233i | \(-0.343286\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.74181 | − | 1.36191i | −0.324456 | − | 0.118092i | ||||
\(134\) | 4.49200 | − | 7.78037i | 0.388050 | − | 0.672122i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.25665 | − | 1.89356i | 0.193506 | − | 0.162371i | ||||
\(137\) | 11.0546 | + | 19.1471i | 0.944456 | + | 1.63585i | 0.756837 | + | 0.653603i | \(0.226744\pi\) |
0.187619 | + | 0.982242i | \(0.439923\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.462854 | − | 2.62497i | −0.0392587 | − | 0.222647i | 0.958866 | − | 0.283859i | \(-0.0916147\pi\) |
−0.998125 | + | 0.0612114i | \(0.980504\pi\) | |||||||
\(140\) | −3.69634 | − | 6.40226i | −0.312398 | − | 0.541089i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.21864 | −0.102266 | ||||||||
\(143\) | −1.81882 | + | 0.661998i | −0.152098 | + | 0.0553590i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.53925 | − | 5.48708i | −0.543055 | − | 0.455678i | ||||
\(146\) | −6.73673 | + | 5.65279i | −0.557536 | + | 0.467828i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.68834 | − | 5.45645i | 0.220980 | − | 0.448517i | ||||
\(149\) | −6.13622 | −0.502699 | −0.251349 | − | 0.967896i | \(-0.580874\pi\) | ||||
−0.251349 | + | 0.967896i | \(0.580874\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.334584 | − | 0.280749i | −0.0272281 | − | 0.0228471i | 0.629072 | − | 0.777347i | \(-0.283435\pi\) |
−0.656300 | + | 0.754500i | \(0.727879\pi\) | |||||||
\(152\) | 0.143301 | − | 0.812698i | 0.0116232 | − | 0.0659185i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.27780 | 0.425298 | ||||||||
\(155\) | −8.25656 | + | 3.00514i | −0.663183 | + | 0.241379i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.05255 | + | 5.96930i | 0.0840025 | + | 0.476402i | 0.997567 | + | 0.0697089i | \(0.0222070\pi\) |
−0.913565 | + | 0.406693i | \(0.866682\pi\) | |||||||
\(158\) | 1.07684 | − | 1.86513i | 0.0856684 | − | 0.148382i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.17365 | − | 0.984808i | 0.0927850 | − | 0.0778559i | ||||
\(161\) | −0.203810 | + | 1.15586i | −0.0160625 | + | 0.0910948i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.9066 | − | 4.69763i | −1.01093 | − | 0.367947i | −0.217137 | − | 0.976141i | \(-0.569672\pi\) |
−0.793788 | + | 0.608194i | \(0.791894\pi\) | |||||||
\(164\) | 2.73633 | + | 0.995941i | 0.213671 | + | 0.0777699i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.90207 | + | 3.27423i | 0.302859 | + | 0.254129i | ||||
\(167\) | −18.2471 | − | 15.3112i | −1.41201 | − | 1.18481i | −0.955463 | − | 0.295112i | \(-0.904643\pi\) |
−0.456543 | − | 0.889701i | \(-0.650913\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.27344 | + | 3.37526i | 0.713342 | + | 0.259635i | ||||
\(170\) | 4.24112 | + | 1.54364i | 0.325279 | + | 0.118392i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.760556 | − | 4.31333i | 0.0579919 | − | 0.328888i | ||||
\(173\) | −16.4280 | + | 13.7847i | −1.24899 | + | 1.04803i | −0.252229 | + | 0.967668i | \(0.581164\pi\) |
−0.996766 | + | 0.0803630i | \(0.974392\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.39996 | + | 11.0851i | −0.483791 | + | 0.837951i | ||||
\(176\) | 0.189935 | + | 1.07717i | 0.0143169 | + | 0.0811951i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.43486 | + | 3.07004i | −0.632220 | + | 0.230109i | ||||
\(179\) | −11.5247 | −0.861400 | −0.430700 | − | 0.902495i | \(-0.641733\pi\) | ||||
−0.430700 | + | 0.902495i | \(0.641733\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.08553 | + | 17.4989i | −0.229346 | + | 1.30068i | 0.624855 | + | 0.780740i | \(0.285158\pi\) |
−0.854201 | + | 0.519943i | \(0.825953\pi\) | |||||||
\(182\) | 6.54097 | + | 5.48853i | 0.484849 | + | 0.406837i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.243241 | −0.0179320 | ||||||||
\(185\) | 9.29916 | − | 0.612921i | 0.683688 | − | 0.0450629i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.46831 | + | 2.07116i | −0.180501 | + | 0.151458i | ||||
\(188\) | −1.73508 | − | 1.45590i | −0.126544 | − | 0.106183i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.18809 | − | 0.432428i | 0.0861928 | − | 0.0313716i | ||||
\(191\) | 25.9113 | 1.87487 | 0.937437 | − | 0.348155i | \(-0.113192\pi\) | ||||
0.937437 | + | 0.348155i | \(0.113192\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.45149 | − | 9.44225i | −0.392407 | − | 0.679668i | 0.600360 | − | 0.799730i | \(-0.295024\pi\) |
−0.992766 | + | 0.120062i | \(0.961691\pi\) | |||||||
\(194\) | −0.756945 | − | 4.29285i | −0.0543455 | − | 0.308209i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.14145 | − | 14.1014i | −0.581532 | − | 1.00724i | ||||
\(197\) | 4.93573 | − | 4.14157i | 0.351656 | − | 0.295075i | −0.449798 | − | 0.893130i | \(-0.648504\pi\) |
0.801455 | + | 0.598055i | \(0.204060\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.42779 | + | 16.3294i | −0.668318 | + | 1.15756i | 0.310056 | + | 0.950718i | \(0.399652\pi\) |
−0.978374 | + | 0.206843i | \(0.933681\pi\) | |||||||
\(200\) | −2.49273 | − | 0.907278i | −0.176262 | − | 0.0641542i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.762122 | − | 4.32221i | −0.0536227 | − | 0.304110i | ||||
\(203\) | −20.5950 | − | 17.2813i | −1.44549 | − | 1.21291i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.774705 | + | 4.39357i | 0.0541077 | + | 0.306860i | ||||
\(206\) | 11.8826 | + | 4.32493i | 0.827903 | + | 0.301332i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.884789 | + | 1.53250i | −0.0613491 | + | 0.106260i | ||||
\(209\) | −0.156741 | + | 0.888923i | −0.0108420 | + | 0.0614881i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.707251 | + | 1.22499i | 0.0486891 | + | 0.0843321i | 0.889343 | − | 0.457241i | \(-0.151162\pi\) |
−0.840654 | + | 0.541573i | \(0.817829\pi\) | |||||||
\(212\) | 3.07472 | − | 5.32558i | 0.211173 | − | 0.365762i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.42983 | − | 16.3330i | −0.644610 | − | 1.11650i | ||||
\(215\) | 6.30567 | − | 2.29507i | 0.430043 | − | 0.156523i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −26.0036 | + | 9.46454i | −1.76524 | + | 0.642495i | ||||
\(218\) | 1.46113 | − | 8.28649i | 0.0989603 | − | 0.561232i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.28373 | + | 1.07717i | −0.0865489 | + | 0.0726231i | ||||
\(221\) | −5.21291 | −0.350659 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.1750 | −0.815302 | −0.407651 | − | 0.913138i | \(-0.633652\pi\) | ||||
−0.407651 | + | 0.913138i | \(0.633652\pi\) | |||||||
\(224\) | 3.69634 | − | 3.10160i | 0.246972 | − | 0.207234i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.10868 | + | 6.28761i | −0.0737480 | + | 0.418246i | ||||
\(227\) | −20.0154 | + | 7.28501i | −1.32847 | + | 0.483523i | −0.906162 | − | 0.422930i | \(-0.861002\pi\) |
−0.422306 | + | 0.906453i | \(0.638779\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.67775 | − | 0.974622i | 0.176951 | − | 0.0644048i | −0.252025 | − | 0.967721i | \(-0.581097\pi\) |
0.428976 | + | 0.903316i | \(0.358874\pi\) | |||||||
\(230\) | −0.186333 | − | 0.322739i | −0.0122865 | − | 0.0212808i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.78587 | − | 4.82526i | 0.182901 | − | 0.316794i | ||||
\(233\) | 11.7583 | + | 20.3659i | 0.770310 | + | 1.33422i | 0.937393 | + | 0.348273i | \(0.113232\pi\) |
−0.167083 | + | 0.985943i | \(0.553435\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.602587 | − | 3.41744i | 0.0393084 | − | 0.222929i | ||||
\(236\) | 4.41262 | − | 7.64288i | 0.287237 | − | 0.497509i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 13.3572 | + | 4.86162i | 0.865818 | + | 0.315132i | ||||
\(239\) | −1.39581 | − | 7.91601i | −0.0902872 | − | 0.512044i | −0.996090 | − | 0.0883447i | \(-0.971842\pi\) |
0.905803 | − | 0.423700i | \(-0.139269\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.1349 | + | 11.8606i | 0.910511 | + | 0.764010i | 0.972216 | − | 0.234085i | \(-0.0752093\pi\) |
−0.0617048 | + | 0.998094i | \(0.519654\pi\) | |||||||
\(242\) | 1.70238 | + | 9.65468i | 0.109433 | + | 0.620626i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.0435 | + | 4.01950i | 0.706987 | + | 0.257322i | ||||
\(245\) | 12.4734 | − | 21.6046i | 0.796898 | − | 1.38027i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.11867 | + | 0.938675i | −0.0711792 | + | 0.0597265i | ||||
\(248\) | −2.86747 | − | 4.96661i | −0.182085 | − | 0.315380i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.03596 | − | 11.5465i | −0.128765 | − | 0.730265i | ||||
\(251\) | 11.6472 | + | 20.1736i | 0.735167 | + | 1.27335i | 0.954650 | + | 0.297731i | \(0.0962297\pi\) |
−0.219483 | + | 0.975616i | \(0.570437\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.266055 | 0.0167267 | ||||||||
\(254\) | −4.46592 | + | 1.62546i | −0.280217 | + | 0.101991i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 3.26092 | − | 2.73624i | 0.203411 | − | 0.170682i | −0.535392 | − | 0.844604i | \(-0.679836\pi\) |
0.738803 | + | 0.673922i | \(0.235392\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 29.2872 | − | 1.93036i | 1.81982 | − | 0.119947i | ||||
\(260\) | −2.71115 | −0.168139 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 13.7788 | + | 11.5618i | 0.851259 | + | 0.714291i | ||||
\(263\) | 1.19565 | − | 6.78086i | 0.0737269 | − | 0.418126i | −0.925498 | − | 0.378753i | \(-0.876353\pi\) |
0.999225 | − | 0.0393727i | \(-0.0125359\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.42150 | 0.578758 | ||||||||
\(266\) | 3.74181 | − | 1.36191i | 0.229425 | − | 0.0835040i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.56006 | + | 8.84751i | 0.0952955 | + | 0.540448i | ||||
\(269\) | 4.83783 | − | 8.37936i | 0.294968 | − | 0.510899i | −0.680010 | − | 0.733203i | \(-0.738024\pi\) |
0.974977 | + | 0.222304i | \(0.0713578\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.87002 | − | 4.92553i | 0.356578 | − | 0.299205i | −0.446847 | − | 0.894610i | \(-0.647453\pi\) |
0.803425 | + | 0.595406i | \(0.203009\pi\) | |||||||
\(272\) | −0.511542 | + | 2.90110i | −0.0310168 | + | 0.175905i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −20.7758 | − | 7.56177i | −1.25511 | − | 0.456823i | ||||
\(275\) | 2.72652 | + | 0.992374i | 0.164416 | + | 0.0598424i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.07917 | + | 2.58373i | 0.185009 | + | 0.155241i | 0.730589 | − | 0.682818i | \(-0.239246\pi\) |
−0.545579 | + | 0.838059i | \(0.683690\pi\) | |||||||
\(278\) | 2.04187 | + | 1.71333i | 0.122463 | + | 0.102759i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.94686 | + | 2.52845i | 0.415154 | + | 0.151104i | ||||
\(281\) | −6.57717 | − | 2.39389i | −0.392361 | − | 0.142808i | 0.138303 | − | 0.990390i | \(-0.455835\pi\) |
−0.530664 | + | 0.847582i | \(0.678057\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.816946 | + | 4.63313i | −0.0485624 | + | 0.275411i | −0.999414 | − | 0.0342367i | \(-0.989100\pi\) |
0.950851 | + | 0.309648i | \(0.100211\pi\) | |||||||
\(284\) | 0.933535 | − | 0.783329i | 0.0553951 | − | 0.0464820i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.967776 | − | 1.67624i | 0.0572258 | − | 0.0991179i | ||||
\(287\) | 2.43989 | + | 13.8373i | 0.144022 | + | 0.816791i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.82009 | − | 2.84628i | 0.460005 | − | 0.167428i | ||||
\(290\) | 8.53639 | 0.501274 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.52709 | − | 8.66057i | 0.0893663 | − | 0.506822i | ||||
\(293\) | 10.9016 | + | 9.14751i | 0.636877 | + | 0.534403i | 0.903057 | − | 0.429520i | \(-0.141317\pi\) |
−0.266180 | + | 0.963923i | \(0.585762\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.5210 | 0.787226 | ||||||||
\(296\) | 1.44795 | + | 5.90791i | 0.0841605 | + | 0.343390i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.70062 | − | 3.94429i | 0.272299 | − | 0.228486i | ||||
\(299\) | 0.329731 | + | 0.276678i | 0.0190689 | + | 0.0160007i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 19.8594 | − | 7.22822i | 1.14468 | − | 0.416628i | ||||
\(302\) | 0.436768 | 0.0251332 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.412618 | + | 0.714675i | 0.0236652 | + | 0.0409894i | ||||
\(305\) | 3.12662 | + | 17.7319i | 0.179030 | + | 1.01533i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.401308 | − | 0.695086i | −0.0229039 | − | 0.0396707i | 0.854346 | − | 0.519704i | \(-0.173958\pi\) |
−0.877250 | + | 0.480034i | \(0.840624\pi\) | |||||||
\(308\) | −4.04303 | + | 3.39251i | −0.230373 | + | 0.193306i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.39322 | − | 7.60929i | 0.249518 | − | 0.432179i | ||||
\(311\) | −2.32051 | − | 0.844598i | −0.131584 | − | 0.0478928i | 0.275389 | − | 0.961333i | \(-0.411193\pi\) |
−0.406973 | + | 0.913440i | \(0.633416\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.09856 | − | 17.5728i | −0.175141 | − | 0.993273i | −0.937981 | − | 0.346686i | \(-0.887307\pi\) |
0.762840 | − | 0.646587i | \(-0.223804\pi\) | |||||||
\(314\) | −4.64329 | − | 3.89618i | −0.262036 | − | 0.219874i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.373981 | + | 2.12095i | 0.0210381 | + | 0.119313i | ||||
\(317\) | 3.32609 | + | 1.21060i | 0.186812 | + | 0.0679940i | 0.433732 | − | 0.901042i | \(-0.357196\pi\) |
−0.246920 | + | 0.969036i | \(0.579419\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.04716 | + | 5.27783i | −0.170608 | + | 0.295502i | ||||
\(320\) | −0.266044 | + | 1.50881i | −0.0148723 | + | 0.0843452i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.586847 | − | 1.01645i | −0.0327037 | − | 0.0566445i | ||||
\(323\) | −1.21551 | + | 2.10533i | −0.0676328 | + | 0.117143i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.34708 | + | 4.06527i | 0.130193 | + | 0.225501i | ||||
\(326\) | 12.9066 | − | 4.69763i | 0.714832 | − | 0.260178i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.73633 | + | 0.995941i | −0.151088 | + | 0.0549917i | ||||
\(329\) | 1.89782 | − | 10.7630i | 0.104630 | − | 0.593386i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.93110 | − | 2.45948i | 0.161108 | − | 0.135185i | −0.558670 | − | 0.829390i | \(-0.688688\pi\) |
0.719778 | + | 0.694205i | \(0.244244\pi\) | |||||||
\(332\) | −5.09379 | −0.279558 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 23.8199 | 1.30337 | ||||||||
\(335\) | −10.5441 | + | 8.84751i | −0.576083 | + | 0.483391i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.71542 | + | 21.0712i | −0.202392 | + | 1.14782i | 0.699100 | + | 0.715024i | \(0.253584\pi\) |
−0.901492 | + | 0.432797i | \(0.857527\pi\) | |||||||
\(338\) | −9.27344 | + | 3.37526i | −0.504409 | + | 0.183590i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.24112 | + | 1.54364i | −0.230007 | + | 0.0837157i | ||||
\(341\) | 3.13642 | + | 5.43244i | 0.169847 | + | 0.294183i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 22.3961 | − | 38.7912i | 1.20927 | − | 2.09453i | ||||
\(344\) | 2.18994 | + | 3.79308i | 0.118073 | + | 0.204509i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.72392 | − | 21.1194i | 0.200199 | − | 1.13538i | ||||
\(347\) | −12.8181 | + | 22.2016i | −0.688113 | + | 1.19185i | 0.284334 | + | 0.958725i | \(0.408227\pi\) |
−0.972448 | + | 0.233122i | \(0.925106\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −14.5983 | − | 5.31334i | −0.781428 | − | 0.284417i | −0.0796600 | − | 0.996822i | \(-0.525383\pi\) |
−0.701768 | + | 0.712406i | \(0.747606\pi\) | |||||||
\(350\) | −2.22268 | − | 12.6055i | −0.118807 | − | 0.673790i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.837893 | − | 0.703076i | −0.0446599 | − | 0.0374741i | ||||
\(353\) | 0.235520 | + | 1.33570i | 0.0125355 | + | 0.0710923i | 0.990434 | − | 0.137989i | \(-0.0440638\pi\) |
−0.977898 | + | 0.209081i | \(0.932953\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.75447 | + | 0.638576i | 0.0931177 | + | 0.0338921i | ||||
\(356\) | 4.48810 | − | 7.77361i | 0.237869 | − | 0.412000i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.82847 | − | 7.40796i | 0.466599 | − | 0.391523i | ||||
\(359\) | −11.1573 | − | 19.3251i | −0.588862 | − | 1.01994i | −0.994382 | − | 0.105853i | \(-0.966243\pi\) |
0.405519 | − | 0.914086i | \(-0.367091\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.18106 | − | 18.0407i | −0.167424 | − | 0.949509i | ||||
\(362\) | −8.88443 | − | 15.3883i | −0.466955 | − | 0.808790i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.53863 | −0.447546 | ||||||||
\(365\) | 12.6609 | − | 4.60819i | 0.662702 | − | 0.241204i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.53730 | + | 4.64635i | 0.289045 | + | 0.242538i | 0.775767 | − | 0.631019i | \(-0.217363\pi\) |
−0.486722 | + | 0.873557i | \(0.661808\pi\) | |||||||
\(368\) | 0.186333 | − | 0.156352i | 0.00971329 | − | 0.00815042i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −6.72959 | + | 6.44691i | −0.349855 | + | 0.335159i | ||||
\(371\) | 29.6725 | 1.54052 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.98788 | − | 7.54173i | −0.465375 | − | 0.390496i | 0.379729 | − | 0.925098i | \(-0.376017\pi\) |
−0.845104 | + | 0.534602i | \(0.820462\pi\) | |||||||
\(374\) | 0.559520 | − | 3.17320i | 0.0289321 | − | 0.164082i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.26498 | 0.116808 | ||||||||
\(377\) | −9.26501 | + | 3.37219i | −0.477172 | + | 0.173677i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.480627 | − | 2.72577i | −0.0246881 | − | 0.140013i | 0.969972 | − | 0.243216i | \(-0.0782022\pi\) |
−0.994660 | + | 0.103202i | \(0.967091\pi\) | |||||||
\(380\) | −0.632167 | + | 1.09495i | −0.0324295 | + | 0.0561695i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −19.8492 | + | 16.6554i | −1.01557 | + | 0.852167i | ||||
\(383\) | −3.38122 | + | 19.1758i | −0.172772 | + | 0.979840i | 0.767912 | + | 0.640556i | \(0.221296\pi\) |
−0.940684 | + | 0.339284i | \(0.889815\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.59842 | − | 2.76560i | −0.387251 | − | 0.140948i | ||||
\(386\) | 10.2454 | + | 3.72904i | 0.521479 | + | 0.189803i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.33924 | + | 2.80196i | 0.169524 | + | 0.142248i | ||||
\(389\) | 1.79849 | + | 1.50911i | 0.0911870 | + | 0.0765150i | 0.687242 | − | 0.726429i | \(-0.258821\pi\) |
−0.596055 | + | 0.802944i | \(0.703266\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.673338 | + | 0.245075i | 0.0340522 | + | 0.0123940i | ||||
\(392\) | 15.3009 | + | 5.56908i | 0.772813 | + | 0.281281i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.11884 | + | 6.34525i | −0.0563663 | + | 0.319669i | ||||
\(395\) | −2.52765 | + | 2.12095i | −0.127180 | + | 0.106717i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.13774 | + | 1.97062i | −0.0571015 | + | 0.0989026i | −0.893163 | − | 0.449733i | \(-0.851519\pi\) |
0.836062 | + | 0.548635i | \(0.184853\pi\) | |||||||
\(398\) | −3.27424 | − | 18.5691i | −0.164123 | − | 0.930786i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.49273 | − | 0.907278i | 0.124636 | − | 0.0453639i | ||||
\(401\) | −17.5482 | −0.876316 | −0.438158 | − | 0.898898i | \(-0.644369\pi\) | ||||
−0.438158 | + | 0.898898i | \(0.644369\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.76226 | + | 9.99426i | −0.0877843 | + | 0.497850i | ||||
\(404\) | 3.36208 | + | 2.82112i | 0.167270 | + | 0.140356i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 26.8849 | 1.33428 | ||||||||
\(407\) | −1.58376 | − | 6.46203i | −0.0785040 | − | 0.320311i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.3730 | − | 14.5777i | 0.859041 | − | 0.720821i | −0.102720 | − | 0.994710i | \(-0.532755\pi\) |
0.961761 | + | 0.273889i | \(0.0883102\pi\) | |||||||
\(410\) | −3.41759 | − | 2.86770i | −0.168783 | − | 0.141626i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.8826 | + | 4.32493i | −0.585416 | + | 0.213074i | ||||
\(413\) | 42.5838 | 2.09541 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.90207 | − | 6.75859i | −0.191545 | − | 0.331766i | ||||
\(416\) | −0.307284 | − | 1.74269i | −0.0150658 | − | 0.0854426i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.451318 | − | 0.781706i | −0.0220747 | − | 0.0382345i | ||||
\(419\) | −14.4180 | + | 12.0981i | −0.704365 | + | 0.591032i | −0.923012 | − | 0.384772i | \(-0.874280\pi\) |
0.218647 | + | 0.975804i | \(0.429836\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.96330 | − | 15.5249i | 0.436844 | − | 0.756637i | −0.560600 | − | 0.828087i | \(-0.689429\pi\) |
0.997444 | + | 0.0714502i | \(0.0227627\pi\) | |||||||
\(422\) | −1.32920 | − | 0.483788i | −0.0647043 | − | 0.0235504i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.06784 | + | 6.05602i | 0.0518589 | + | 0.294107i | ||||
\(425\) | 5.98623 | + | 5.02304i | 0.290375 | + | 0.243653i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.84712 | + | 55.8458i | 0.476536 | + | 2.70257i | ||||
\(428\) | 17.7223 | + | 6.45039i | 0.856639 | + | 0.311791i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.35518 | + | 5.81133i | −0.161801 | + | 0.280247i | ||||
\(431\) | −2.12908 | + | 12.0746i | −0.102554 | + | 0.581613i | 0.889615 | + | 0.456711i | \(0.150973\pi\) |
−0.992169 | + | 0.124902i | \(0.960138\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.5573 | − | 18.2858i | −0.507351 | − | 0.878758i | −0.999964 | − | 0.00850909i | \(-0.997291\pi\) |
0.492613 | − | 0.870249i | \(-0.336042\pi\) | |||||||
\(434\) | 13.8362 | − | 23.9651i | 0.664161 | − | 1.15036i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.20716 | + | 7.28702i | 0.201486 | + | 0.348985i | ||||
\(437\) | 0.188625 | − | 0.0686540i | 0.00902318 | − | 0.00328417i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 22.6396 | − | 8.24015i | 1.08053 | − | 0.393281i | 0.260425 | − | 0.965494i | \(-0.416137\pi\) |
0.820105 | + | 0.572213i | \(0.193915\pi\) | |||||||
\(440\) | 0.290997 | − | 1.65033i | 0.0138728 | − | 0.0786763i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.99332 | − | 3.35080i | 0.189943 | − | 0.159381i | ||||
\(443\) | −19.2348 | −0.913871 | −0.456936 | − | 0.889500i | \(-0.651053\pi\) | ||||
−0.456936 | + | 0.889500i | \(0.651053\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 13.7523 | 0.651923 | ||||||||
\(446\) | 9.32663 | − | 7.82597i | 0.441629 | − | 0.370570i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.837893 | + | 4.75193i | −0.0395867 | + | 0.224508i | ||||
\(449\) | −6.19008 | + | 2.25301i | −0.292128 | + | 0.106326i | −0.483927 | − | 0.875108i | \(-0.660790\pi\) |
0.191799 | + | 0.981434i | \(0.438568\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.99297 | − | 1.08935i | 0.140934 | − | 0.0512956i | ||||
\(452\) | −3.19231 | − | 5.52924i | −0.150153 | − | 0.260073i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 10.6500 | − | 18.4463i | 0.499828 | − | 0.865727i | ||||
\(455\) | −6.54097 | − | 11.3293i | −0.306646 | − | 0.531126i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.03427 | + | 28.5507i | −0.235493 | + | 1.33555i | 0.606080 | + | 0.795404i | \(0.292741\pi\) |
−0.841573 | + | 0.540144i | \(0.818370\pi\) | |||||||
\(458\) | −1.42480 | + | 2.46783i | −0.0665766 | + | 0.115314i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.350192 | + | 0.127459i | 0.0163278 | + | 0.00594283i | ||||
\(461\) | −6.22553 | − | 35.3067i | −0.289952 | − | 1.64440i | −0.687041 | − | 0.726618i | \(-0.741091\pi\) |
0.397089 | − | 0.917780i | \(-0.370020\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.2350 | − | 11.9446i | −0.661556 | − | 0.555111i | 0.248997 | − | 0.968504i | \(-0.419899\pi\) |
−0.910553 | + | 0.413393i | \(0.864344\pi\) | |||||||
\(464\) | 0.967521 | + | 5.48708i | 0.0449160 | + | 0.254731i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −22.0983 | − | 8.04313i | −1.02369 | − | 0.372591i | ||||
\(467\) | −0.823127 | + | 1.42570i | −0.0380898 | + | 0.0659734i | −0.884442 | − | 0.466650i | \(-0.845461\pi\) |
0.846352 | + | 0.532624i | \(0.178794\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −33.2080 | + | 27.8648i | −1.53340 | + | 1.28668i | ||||
\(470\) | 1.73508 | + | 3.00524i | 0.0800332 | + | 0.138622i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.53249 | + | 8.69116i | 0.0705384 | + | 0.400043i | ||||
\(473\) | −2.39533 | − | 4.14884i | −0.110138 | − | 0.190764i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.18911 | 0.100443 | ||||||||
\(476\) | −13.3572 | + | 4.86162i | −0.612226 | + | 0.222832i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.15757 | + | 5.16681i | 0.281640 | + | 0.236324i | ||||
\(479\) | 26.1002 | − | 21.9007i | 1.19255 | − | 1.00067i | 0.192737 | − | 0.981250i | \(-0.438264\pi\) |
0.999811 | − | 0.0194166i | \(-0.00618087\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.75723 | − | 9.65562i | 0.216911 | − | 0.440258i | ||||
\(482\) | −18.4519 | −0.840459 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.51001 | − | 6.30164i | −0.341364 | − | 0.286438i | ||||
\(485\) | −1.15971 | + | 6.57703i | −0.0526596 | + | 0.298647i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −31.0898 | −1.40881 | −0.704407 | − | 0.709796i | \(-0.748787\pi\) | ||||
−0.704407 | + | 0.709796i | \(0.748787\pi\) | |||||||
\(488\) | −11.0435 | + | 4.01950i | −0.499915 | + | 0.181954i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.33197 | + | 24.5678i | 0.195699 | + | 1.10986i | ||||
\(491\) | 17.5270 | − | 30.3576i | 0.790981 | − | 1.37002i | −0.134379 | − | 0.990930i | \(-0.542904\pi\) |
0.925360 | − | 0.379089i | \(-0.123763\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.5735 | + | 10.5504i | −0.566280 | + | 0.475165i | ||||
\(494\) | 0.253582 | − | 1.43813i | 0.0114092 | − | 0.0647047i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.38909 | + | 1.96147i | 0.241977 | + | 0.0880725i | ||||
\(497\) | 5.52562 | + | 2.01116i | 0.247858 | + | 0.0902129i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −26.9427 | − | 22.6076i | −1.20612 | − | 1.01205i | −0.999434 | − | 0.0336472i | \(-0.989288\pi\) |
−0.206686 | − | 0.978407i | \(-0.566268\pi\) | |||||||
\(500\) | 8.98158 | + | 7.53644i | 0.401669 | + | 0.337040i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −21.8897 | − | 7.96718i | −0.976983 | − | 0.355593i | ||||
\(503\) | 4.35300 | + | 1.58436i | 0.194091 | + | 0.0706432i | 0.437237 | − | 0.899346i | \(-0.355957\pi\) |
−0.243146 | + | 0.969990i | \(0.578179\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.16764 | + | 6.62201i | −0.0519593 | + | 0.294676i | ||||
\(506\) | −0.203810 | + | 0.171017i | −0.00906045 | + | 0.00760262i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.37627 | − | 4.11582i | 0.105430 | − | 0.182610i | ||||
\(509\) | 4.14162 | + | 23.4883i | 0.183574 | + | 1.04110i | 0.927774 | + | 0.373144i | \(0.121720\pi\) |
−0.744199 | + | 0.667958i | \(0.767169\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 39.8749 | − | 14.5133i | 1.76396 | − | 0.642029i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.739191 | + | 4.19216i | −0.0326043 | + | 0.184908i | ||||
\(515\) | −14.8411 | − | 12.4531i | −0.653976 | − | 0.548751i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.47742 | −0.108957 | ||||||||
\(518\) | −21.1945 | + | 20.3042i | −0.931233 | + | 0.892115i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.07686 | − | 1.74269i | 0.0910765 | − | 0.0764222i | ||||
\(521\) | −14.8610 | − | 12.4698i | −0.651071 | − | 0.546313i | 0.256325 | − | 0.966591i | \(-0.417488\pi\) |
−0.907396 | + | 0.420278i | \(0.861933\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.82296 | + | 0.663503i | −0.0797125 | + | 0.0290130i | −0.381569 | − | 0.924341i | \(-0.624616\pi\) |
0.301856 | + | 0.953353i | \(0.402394\pi\) | |||||||
\(524\) | −17.9870 | −0.785765 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.44273 | + | 5.96299i | 0.150110 | + | 0.259999i | ||||
\(527\) | 2.93366 | + | 16.6376i | 0.127792 | + | 0.724747i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4704 | + | 19.8673i | 0.498714 | + | 0.863798i | ||||
\(530\) | −7.21729 | + | 6.05602i | −0.313499 | + | 0.263057i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.99098 | + | 3.44847i | −0.0863198 | + | 0.149510i | ||||
\(533\) | 4.84214 | + | 1.76240i | 0.209737 | + | 0.0763379i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.01751 | + | 28.4557i | 0.216926 | + | 1.23025i | ||||
\(536\) | −6.88214 | − | 5.77480i | −0.297263 | − | 0.249434i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.68016 | + | 9.52866i | 0.0724368 | + | 0.410810i | ||||
\(539\) | −16.7360 | − | 6.09141i | −0.720872 | − | 0.262376i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.15605 | − | 3.73439i | 0.0926958 | − | 0.160554i | −0.815949 | − | 0.578124i | \(-0.803785\pi\) |
0.908645 | + | 0.417570i | \(0.137118\pi\) | |||||||
\(542\) | −1.33063 | + | 7.54635i | −0.0571553 | + | 0.324144i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.47293 | − | 2.55118i | −0.0631511 | − | 0.109381i | ||||
\(545\) | −6.44574 | + | 11.1644i | −0.276105 | + | 0.478228i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.75830 | − | 15.1698i | −0.374478 | − | 0.648615i | 0.615771 | − | 0.787925i | \(-0.288845\pi\) |
−0.990249 | + | 0.139311i | \(0.955511\pi\) | |||||||
\(548\) | 20.7758 | − | 7.56177i | 0.887498 | − | 0.323023i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.72652 | + | 0.992374i | −0.116259 | + | 0.0423150i | ||||
\(551\) | −0.798433 | + | 4.52814i | −0.0340144 | + | 0.192905i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.96071 | + | 6.67983i | −0.338524 | + | 0.284055i | ||||
\(554\) | −4.01957 | −0.170775 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.66547 | −0.113041 | ||||||||
\(557\) | −17.4740 | + | 14.6624i | −0.740398 | + | 0.621268i | −0.932945 | − | 0.360020i | \(-0.882770\pi\) |
0.192546 | + | 0.981288i | \(0.438325\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.34586 | − | 7.63278i | 0.0569240 | − | 0.322832i | ||||
\(560\) | −6.94686 | + | 2.52845i | −0.293558 | + | 0.106846i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.57717 | − | 2.39389i | 0.277441 | − | 0.100980i | ||||
\(563\) | −13.2921 | − | 23.0226i | −0.560195 | − | 0.970287i | −0.997479 | − | 0.0709631i | \(-0.977393\pi\) |
0.437284 | − | 0.899324i | \(-0.355941\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.89090 | − | 8.47128i | 0.205762 | − | 0.356389i | ||||
\(566\) | −2.35230 | − | 4.07430i | −0.0988746 | − | 0.171256i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.211615 | + | 1.20013i | −0.00887918 | + | 0.0503563i | ||||
\(569\) | −6.98492 | + | 12.0982i | −0.292823 | + | 0.507184i | −0.974476 | − | 0.224491i | \(-0.927928\pi\) |
0.681653 | + | 0.731676i | \(0.261261\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.6390 | − | 7.51199i | −0.863717 | − | 0.314367i | −0.128097 | − | 0.991762i | \(-0.540887\pi\) |
−0.735620 | + | 0.677395i | \(0.763109\pi\) | |||||||
\(572\) | 0.336105 | + | 1.90615i | 0.0140533 | + | 0.0797000i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.7635 | − | 9.03167i | −0.449261 | − | 0.376975i | ||||
\(575\) | −0.112046 | − | 0.635443i | −0.00467263 | − | 0.0264998i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −29.6115 | − | 10.7777i | −1.23274 | − | 0.448682i | −0.358207 | − | 0.933642i | \(-0.616612\pi\) |
−0.874536 | + | 0.484961i | \(0.838834\pi\) | |||||||
\(578\) | −4.16098 | + | 7.20703i | −0.173074 | + | 0.299773i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −6.53925 | + | 5.48708i | −0.271528 | + | 0.227839i | ||||
\(581\) | −12.2894 | − | 21.2858i | −0.509849 | − | 0.883085i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.16800 | − | 6.62403i | −0.0483734 | − | 0.274339i | ||||
\(584\) | 4.39709 | + | 7.61598i | 0.181953 | + | 0.315151i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.2310 | −0.587877 | ||||||||
\(587\) | −39.3494 | + | 14.3220i | −1.62412 | + | 0.591133i | −0.984162 | − | 0.177273i | \(-0.943273\pi\) |
−0.639963 | + | 0.768406i | \(0.721050\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.62544 | + | 3.04211i | 0.149384 | + | 0.125348i | ||||
\(590\) | −10.3577 | + | 8.69116i | −0.426421 | + | 0.357809i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.90673 | − | 3.59500i | −0.201665 | − | 0.147754i | ||||
\(593\) | 30.7471 | 1.26263 | 0.631316 | − | 0.775525i | \(-0.282515\pi\) | ||||
0.631316 | + | 0.775525i | \(0.282515\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −16.6827 | − | 13.9985i | −0.683925 | − | 0.573881i | ||||
\(596\) | −1.06554 | + | 6.04300i | −0.0436463 | + | 0.247531i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.430434 | −0.0176017 | ||||||||
\(599\) | 28.2700 | − | 10.2894i | 1.15508 | − | 0.420415i | 0.307742 | − | 0.951470i | \(-0.400427\pi\) |
0.847337 | + | 0.531055i | \(0.178204\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.27054 | + | 29.8907i | 0.214990 | + | 1.21927i | 0.880924 | + | 0.473257i | \(0.156922\pi\) |
−0.665935 | + | 0.746010i | \(0.731967\pi\) | |||||||
\(602\) | −10.5670 | + | 18.3025i | −0.430677 | + | 0.745954i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.334584 | + | 0.280749i | −0.0136140 | + | 0.0114235i | ||||
\(605\) | 2.60820 | − | 14.7918i | 0.106038 | − | 0.601373i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.08095 | + | 0.393434i | 0.0438744 | + | 0.0159690i | 0.363864 | − | 0.931452i | \(-0.381457\pi\) |
−0.319990 | + | 0.947421i | \(0.603679\pi\) | |||||||
\(608\) | −0.775468 | − | 0.282247i | −0.0314494 | − | 0.0114466i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −13.7930 | − | 11.5737i | −0.558462 | − | 0.468605i | ||||
\(611\) | −3.07036 | − | 2.57634i | −0.124213 | − | 0.104227i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.5282 | + | 5.28784i | 0.586789 | + | 0.213574i | 0.618317 | − | 0.785929i | \(-0.287815\pi\) |
−0.0315273 | + | 0.999503i | \(0.510037\pi\) | |||||||
\(614\) | 0.754213 | + | 0.274511i | 0.0304375 | + | 0.0110784i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.916481 | − | 5.19762i | 0.0369261 | − | 0.209418i | ||||
\(617\) | −16.0733 | + | 13.4871i | −0.647086 | + | 0.542970i | −0.906185 | − | 0.422881i | \(-0.861019\pi\) |
0.259099 | + | 0.965851i | \(0.416574\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −15.4275 | + | 26.7212i | −0.620084 | + | 1.07402i | 0.369386 | + | 0.929276i | \(0.379568\pi\) |
−0.989470 | + | 0.144741i | \(0.953765\pi\) | |||||||
\(620\) | 1.52575 | + | 8.65296i | 0.0612756 | + | 0.347511i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.32051 | − | 0.844598i | 0.0930441 | − | 0.0338653i | ||||
\(623\) | 43.3122 | 1.73527 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.816085 | + | 4.62825i | −0.0326434 | + | 0.185130i | ||||
\(626\) | 13.6692 | + | 11.4698i | 0.546331 | + | 0.458426i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.06139 | 0.241876 | ||||||||
\(629\) | 1.94425 | − | 17.8131i | 0.0775222 | − | 0.710255i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.47641 | − | 3.75615i | 0.178203 | − | 0.149530i | −0.549323 | − | 0.835610i | \(-0.685114\pi\) |
0.727526 | + | 0.686080i | \(0.240670\pi\) | |||||||
\(632\) | −1.64981 | − | 1.38435i | −0.0656258 | − | 0.0550666i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.32609 | + | 1.21060i | −0.132096 | + | 0.0480790i | ||||
\(635\) | 7.28131 | 0.288950 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −14.4069 | − | 24.9535i | −0.570824 | − | 0.988695i | ||||
\(638\) | −1.05827 | − | 6.00173i | −0.0418972 | − | 0.237611i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.766044 | − | 1.32683i | −0.0302806 | − | 0.0524475i | ||||
\(641\) | −22.8599 | + | 19.1817i | −0.902912 | + | 0.757633i | −0.970757 | − | 0.240062i | \(-0.922832\pi\) |
0.0678451 | + | 0.997696i | \(0.478388\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.18117 | + | 12.4382i | −0.283198 | + | 0.490513i | −0.972171 | − | 0.234274i | \(-0.924729\pi\) |
0.688973 | + | 0.724787i | \(0.258062\pi\) | |||||||
\(644\) | 1.10291 | + | 0.401427i | 0.0434608 | + | 0.0158184i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.422142 | − | 2.39409i | −0.0166090 | − | 0.0941941i | ||||
\(647\) | −7.11852 | − | 5.97315i | −0.279858 | − | 0.234829i | 0.492044 | − | 0.870570i | \(-0.336250\pi\) |
−0.771902 | + | 0.635742i | \(0.780694\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.67622 | − | 9.50632i | −0.0657974 | − | 0.373156i | ||||
\(650\) | −4.41108 | − | 1.60550i | −0.173017 | − | 0.0629729i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.86747 | + | 11.8948i | −0.268951 | + | 0.465837i | ||||
\(653\) | 7.38987 | − | 41.9101i | 0.289188 | − | 1.64007i | −0.400742 | − | 0.916191i | \(-0.631248\pi\) |
0.689930 | − | 0.723876i | \(-0.257641\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −13.7788 | − | 23.8656i | −0.538383 | − | 0.932507i | ||||
\(656\) | 1.45597 | − | 2.52181i | 0.0568460 | − | 0.0984602i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.46454 | + | 9.46486i | 0.213030 | + | 0.368979i | ||||
\(659\) | 10.3196 | − | 3.75603i | 0.401995 | − | 0.146314i | −0.133107 | − | 0.991102i | \(-0.542495\pi\) |
0.535102 | + | 0.844788i | \(0.320273\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.5074 | + | 11.4678i | −1.22550 | + | 0.446044i | −0.872053 | − | 0.489412i | \(-0.837212\pi\) |
−0.353444 | + | 0.935456i | \(0.614989\pi\) | |||||||
\(662\) | −0.664426 | + | 3.76815i | −0.0258237 | + | 0.146453i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.90207 | − | 3.27423i | 0.151430 | − | 0.127065i | ||||
\(665\) | −6.10071 | −0.236575 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.35527 | 0.0524764 | ||||||||
\(668\) | −18.2471 | + | 15.3112i | −0.706003 | + | 0.592407i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.39014 | − | 13.5552i | 0.0923393 | − | 0.523682i | ||||
\(671\) | 12.0793 | − | 4.39650i | 0.466316 | − | 0.169725i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 41.1753 | − | 14.9866i | 1.58719 | − | 0.577691i | 0.610440 | − | 0.792063i | \(-0.290993\pi\) |
0.976752 | + | 0.214372i | \(0.0687704\pi\) | |||||||
\(674\) | −10.6981 | − | 18.5297i | −0.412076 | − | 0.713737i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.93430 | − | 8.54645i | 0.189781 | − | 0.328710i | ||||
\(677\) | −1.08790 | − | 1.88429i | −0.0418113 | − | 0.0724192i | 0.844362 | − | 0.535772i | \(-0.179979\pi\) |
−0.886174 | + | 0.463353i | \(0.846646\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.65244 | + | 20.7140i | −0.140168 | + | 0.794931i | ||||
\(680\) | 2.25665 | − | 3.90864i | 0.0865387 | − | 0.149889i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.89454 | − | 2.14544i | −0.225714 | − | 0.0821531i | ||||
\(683\) | 5.50558 | + | 31.2237i | 0.210665 | + | 1.19474i | 0.888272 | + | 0.459318i | \(0.151906\pi\) |
−0.677607 | + | 0.735424i | \(0.736983\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 25.9484 | + | 21.7733i | 0.991436 | + | 0.831913i | ||||
\(686\) | 7.77808 | + | 44.1117i | 0.296968 | + | 1.68419i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.11573 | − | 1.49800i | −0.156911 | − | 0.0571109i | ||||
\(689\) | 5.44097 | − | 9.42403i | 0.207284 | − | 0.359027i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.5271 | − | 16.3852i | 0.742847 | − | 0.623323i | −0.190754 | − | 0.981638i | \(-0.561093\pi\) |
0.933601 | + | 0.358315i | \(0.116649\pi\) | |||||||
\(692\) | 10.7226 | + | 18.5721i | 0.407612 | + | 0.706004i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.45169 | − | 25.2468i | −0.168984 | − | 0.958355i | ||||
\(695\) | −2.04187 | − | 3.53662i | −0.0774525 | − | 0.134152i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.57813 | 0.324920 | ||||||||
\(698\) | 14.5983 | − | 5.31334i | 0.552553 | − | 0.201113i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 9.80531 | + | 8.22763i | 0.370606 | + | 0.310975i | ||||
\(701\) | 13.7802 | − | 11.5629i | 0.520470 | − | 0.436726i | −0.344325 | − | 0.938850i | \(-0.611892\pi\) |
0.864796 | + | 0.502124i | \(0.167448\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.79033 | − | 4.17272i | −0.105239 | − | 0.157377i | ||||
\(704\) | 1.09379 | 0.0412238 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.03899 | − | 0.871818i | −0.0391030 | − | 0.0328113i | ||||
\(707\) | −3.67742 | + | 20.8557i | −0.138304 | + | 0.784359i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 27.8902 | 1.04744 | 0.523719 | − | 0.851891i | \(-0.324544\pi\) | ||||
0.523719 | + | 0.851891i | \(0.324544\pi\) | |||||||
\(710\) | −1.75447 | + | 0.638576i | −0.0658442 | + | 0.0239653i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.55870 | + | 8.83982i | 0.0584147 | + | 0.331286i | ||||
\(713\) | 0.697487 | − | 1.20808i | 0.0261211 | − | 0.0452430i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.27166 | + | 1.90615i | −0.0849551 | + | 0.0712858i | ||||
\(716\) | −2.00125 | + | 11.3497i | −0.0747903 | + | 0.424157i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 20.9690 | + | 7.63208i | 0.782555 | + | 0.284827i | ||||
\(719\) | −25.7753 | − | 9.38145i | −0.961257 | − | 0.349869i | −0.186731 | − | 0.982411i | \(-0.559789\pi\) |
−0.774526 | + | 0.632542i | \(0.782012\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −46.7412 | − | 39.2205i | −1.74073 | − | 1.46065i | ||||
\(722\) | 14.0332 | + | 11.7752i | 0.522260 | + | 0.438228i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 16.6973 | + | 6.07731i | 0.620549 | + | 0.225861i | ||||
\(725\) | 13.8888 | + | 5.05511i | 0.515817 | + | 0.187742i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.76832 | − | 10.0286i | 0.0655832 | − | 0.371941i | −0.934298 | − | 0.356494i | \(-0.883972\pi\) |
0.999881 | − | 0.0154465i | \(-0.00491696\pi\) | |||||||
\(728\) | 6.54097 | − | 5.48853i | 0.242425 | − | 0.203418i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.73673 | + | 11.6684i | −0.249338 | + | 0.431865i | ||||
\(731\) | −2.24049 | − | 12.7064i | −0.0828673 | − | 0.469964i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 33.0879 | − | 12.0430i | 1.22213 | − | 0.444819i | 0.351234 | − | 0.936288i | \(-0.385762\pi\) |
0.870895 | + | 0.491469i | \(0.163540\pi\) | |||||||
\(734\) | −7.22844 | −0.266807 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0422383 | + | 0.239545i | −0.00155693 | + | 0.00882976i | ||||
\(737\) | 7.52763 | + | 6.31643i | 0.277284 | + | 0.232669i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.78122 | −0.323022 | −0.161511 | − | 0.986871i | \(-0.551637\pi\) | ||||
−0.161511 | + | 0.986871i | \(0.551637\pi\) | |||||||
\(740\) | 1.01117 | − | 9.26431i | 0.0371714 | − | 0.340563i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −22.7305 | + | 19.0731i | −0.834462 | + | 0.700197i | ||||
\(743\) | −11.2952 | − | 9.47778i | −0.414380 | − | 0.347706i | 0.411640 | − | 0.911346i | \(-0.364956\pi\) |
−0.826020 | + | 0.563640i | \(0.809400\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −8.83427 | + | 3.21541i | −0.323663 | + | 0.117804i | ||||
\(746\) | 11.7328 | 0.429570 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.61107 | + | 2.79046i | 0.0589067 | + | 0.102029i | ||||
\(749\) | 15.8024 | + | 89.6198i | 0.577407 | + | 3.27464i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.4428 | + | 30.2118i | 0.636496 | + | 1.10244i | 0.986196 | + | 0.165582i | \(0.0529503\pi\) |
−0.349700 | + | 0.936862i | \(0.613716\pi\) | |||||||
\(752\) | −1.73508 | + | 1.45590i | −0.0632718 | + | 0.0530914i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.92981 | − | 8.53868i | 0.179533 | − | 0.310960i | ||||
\(755\) | −0.628812 | − | 0.228869i | −0.0228848 | − | 0.00832939i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.03260 | + | 51.2264i | 0.328296 | + | 1.86186i | 0.485425 | + | 0.874278i | \(0.338665\pi\) |
−0.157129 | + | 0.987578i | \(0.550224\pi\) | |||||||
\(758\) | 2.12027 | + | 1.77912i | 0.0770117 | + | 0.0646205i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.219549 | − | 1.24513i | −0.00796389 | − | 0.0451655i | ||||
\(761\) | 5.60441 | + | 2.03984i | 0.203160 | + | 0.0739441i | 0.441596 | − | 0.897214i | \(-0.354413\pi\) |
−0.238436 | + | 0.971158i | \(0.576635\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −20.3005 | + | 35.1616i | −0.734929 | + | 1.27293i | ||||
\(764\) | 4.49945 | − | 25.5176i | 0.162784 | − | 0.923195i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.73583 | − | 16.8629i | −0.351770 | − | 0.609283i | ||||
\(767\) | 7.80847 | − | 13.5247i | 0.281948 | − | 0.488348i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −18.5451 | − | 32.1210i | −0.668753 | − | 1.15831i | −0.978253 | − | 0.207415i | \(-0.933495\pi\) |
0.309500 | − | 0.950900i | \(-0.399838\pi\) | |||||||
\(770\) | 7.59842 | − | 2.76560i | 0.273828 | − | 0.0996652i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.2454 | + | 3.72904i | −0.368742 | + | 0.134211i | ||||
\(773\) | 0.552148 | − | 3.13139i | 0.0198594 | − | 0.112628i | −0.973267 | − | 0.229678i | \(-0.926233\pi\) |
0.993126 | + | 0.117050i | \(0.0373438\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.6539 | − | 9.77880i | 0.418621 | − | 0.351265i | ||||
\(776\) | −4.35907 | −0.156482 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.34776 | −0.0841713 | ||||||||
\(779\) | 1.84083 | − | 1.54464i | 0.0659546 | − | 0.0553425i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.231463 | − | 1.31269i | 0.00828240 | − | 0.0469718i | ||||
\(782\) | −0.673338 | + | 0.245075i | −0.0240785 | + | 0.00876386i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −15.3009 | + | 5.56908i | −0.546461 | + | 0.198896i | ||||
\(785\) | 4.64329 | + | 8.04242i | 0.165726 | + | 0.287046i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.62525 | − | 4.54707i | 0.0935802 | − | 0.162086i | −0.815435 | − | 0.578849i | \(-0.803502\pi\) |
0.909015 | + | 0.416763i | \(0.136836\pi\) | |||||||
\(788\) | −3.22157 | − | 5.57992i | −0.114764 | − | 0.198777i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.572972 | − | 3.24949i | 0.0203854 | − | 0.115612i | ||||
\(791\) | 15.4036 | − | 26.6799i | 0.547690 | − | 0.948627i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 19.5423 | + | 7.11283i | 0.693968 | + | 0.252584i | ||||
\(794\) | −0.395132 | − | 2.24091i | −0.0140227 | − | 0.0795268i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 14.4442 | + | 12.1201i | 0.511961 | + | 0.429587i | ||||
\(797\) | −4.62443 | − | 26.2264i | −0.163806 | − | 0.928988i | −0.950287 | − | 0.311375i | \(-0.899211\pi\) |
0.786482 | − | 0.617614i | \(-0.211900\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.26992 | − | 2.28206i | −0.221814 | − | 0.0807336i | ||||
\(800\) | −1.32635 | + | 2.29731i | −0.0468936 | + | 0.0812221i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 13.4427 | − | 11.2798i | 0.474679 | − | 0.398303i | ||||
\(803\) | −4.80950 | − | 8.33030i | −0.169724 | − | 0.293970i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.312255 | + | 1.77089i | 0.0110055 | + | 0.0624155i | ||||
\(806\) | −5.07422 | − | 8.78881i | −0.178732 | − | 0.309573i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.38889 | −0.154401 | ||||||||
\(809\) | −14.5826 | + | 5.30762i | −0.512696 | + | 0.186606i | −0.585396 | − | 0.810748i | \(-0.699061\pi\) |
0.0726995 | + | 0.997354i | \(0.476839\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 25.0817 | + | 21.0460i | 0.880737 | + | 0.739026i | 0.966330 | − | 0.257304i | \(-0.0828343\pi\) |
−0.0855938 | + | 0.996330i | \(0.527279\pi\) | |||||||
\(812\) | −20.5950 | + | 17.2813i | −0.722744 | + | 0.606454i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 5.36694 | + | 3.93218i | 0.188111 | + | 0.137823i | ||||
\(815\) | −21.0432 | −0.737110 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.76881 | − | 2.32331i | −0.0968684 | − | 0.0812822i | ||||
\(818\) | −3.93815 | + | 22.3343i | −0.137694 | + | 0.780902i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.46135 | 0.155797 | ||||||||
\(821\) | −11.4303 | + | 4.16028i | −0.398920 | + | 0.145195i | −0.533686 | − | 0.845682i | \(-0.679194\pi\) |
0.134767 | + | 0.990877i | \(0.456972\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.78732 | + | 21.4790i | 0.132018 | + | 0.748709i | 0.976890 | + | 0.213742i | \(0.0685651\pi\) |
−0.844873 | + | 0.534968i | \(0.820324\pi\) | |||||||
\(824\) | 6.32262 | − | 10.9511i | 0.220259 | − | 0.381500i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −32.6211 | + | 27.3724i | −1.13503 | + | 0.952406i | ||||
\(827\) | 2.00178 | − | 11.3526i | 0.0696086 | − | 0.394770i | −0.930020 | − | 0.367509i | \(-0.880211\pi\) |
0.999628 | − | 0.0272604i | \(-0.00867834\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 9.86084 | + | 3.58905i | 0.342481 | + | 0.124653i | 0.507534 | − | 0.861632i | \(-0.330557\pi\) |
−0.165053 | + | 0.986285i | \(0.552779\pi\) | |||||||
\(830\) | 7.33349 | + | 2.66917i | 0.254549 | + | 0.0926484i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.35558 | + | 1.13746i | 0.0469961 | + | 0.0394344i | ||||
\(833\) | −36.7448 | − | 30.8326i | −1.27313 | − | 1.06829i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −34.2934 | − | 12.4818i | −1.18677 | − | 0.431950i | ||||
\(836\) | 0.848200 | + | 0.308720i | 0.0293356 | + | 0.0106773i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 3.26829 | − | 18.5354i | 0.112901 | − | 0.640295i | ||||
\(839\) | 21.1557 | − | 17.7517i | 0.730375 | − | 0.612857i | −0.199859 | − | 0.979825i | \(-0.564048\pi\) |
0.930234 | + | 0.366968i | \(0.119604\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.02209 | + | 1.77032i | −0.0352446 | + | 0.0610455i | ||||
\(842\) | 3.11292 | + | 17.6543i | 0.107278 | + | 0.608406i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.32920 | − | 0.483788i | 0.0457528 | − | 0.0166527i | ||||
\(845\) | 15.1196 | 0.520129 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.21439 | − | 46.5861i | 0.282250 | − | 1.60072i | ||||
\(848\) | −4.71075 | − | 3.95279i | −0.161768 | − | 0.135739i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −7.81447 | −0.268034 | ||||||||
\(851\) | −1.06842 | + | 1.02354i | −0.0366249 | + | 0.0350864i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.8103 | − | 13.2664i | 0.541334 | − | 0.454233i | −0.330660 | − | 0.943750i | \(-0.607271\pi\) |
0.871994 | + | 0.489517i | \(0.162827\pi\) | |||||||
\(854\) | −43.4403 | − | 36.4508i | −1.48650 | − | 1.24732i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −17.7223 | + | 6.45039i | −0.605735 | + | 0.220470i | ||||
\(857\) | −31.3189 | −1.06983 | −0.534917 | − | 0.844905i | \(-0.679657\pi\) | ||||
−0.534917 | + | 0.844905i | \(0.679657\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −22.7736 | − | 39.4450i | −0.777025 | − | 1.34585i | −0.933649 | − | 0.358189i | \(-0.883394\pi\) |
0.156624 | − | 0.987658i | \(-0.449939\pi\) | |||||||
\(860\) | −1.16524 | − | 6.60840i | −0.0397344 | − | 0.225345i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.13043 | − | 10.6182i | −0.208803 | − | 0.361658i | ||||
\(863\) | 38.4587 | − | 32.2707i | 1.30915 | − | 1.09851i | 0.320664 | − | 0.947193i | \(-0.396094\pi\) |
0.988486 | − | 0.151314i | \(-0.0483503\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.4280 | + | 28.4541i | −0.558567 | + | 0.967467i | ||||
\(866\) | 19.8412 | + | 7.22161i | 0.674232 | + | 0.245400i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.80527 | + | 27.2521i | 0.163102 | + | 0.924995i | ||||
\(869\) | 1.80455 | + | 1.51419i | 0.0612151 | + | 0.0513655i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.76064 | + | 15.6564i | 0.0935407 | + | 0.530496i | ||||
\(872\) | −7.90687 | − | 2.87787i | −0.267761 | − | 0.0974569i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.100365 | + | 0.173838i | −0.00339491 | + | 0.00588016i | ||||
\(875\) | −9.82398 | + | 55.7146i | −0.332111 | + | 1.88350i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.8566 | − | 27.4644i | −0.535439 | − | 0.927408i | −0.999142 | − | 0.0414174i | \(-0.986813\pi\) |
0.463702 | − | 0.885991i | \(-0.346521\pi\) | |||||||
\(878\) | −12.0463 | + | 20.8648i | −0.406543 | + | 0.704153i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.837893 | + | 1.45127i | 0.0282454 | + | 0.0489224i | ||||
\(881\) | 27.9167 | − | 10.1609i | 0.940538 | − | 0.342328i | 0.174160 | − | 0.984717i | \(-0.444279\pi\) |
0.766378 | + | 0.642390i | \(0.222057\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.6477 | + | 5.33132i | −0.492934 | + | 0.179413i | −0.576513 | − | 0.817088i | \(-0.695587\pi\) |
0.0835793 | + | 0.996501i | \(0.473365\pi\) | |||||||
\(884\) | −0.905213 | + | 5.13372i | −0.0304456 | + | 0.172666i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 14.7347 | − | 12.3639i | 0.495021 | − | 0.415372i | ||||
\(887\) | 39.8038 | 1.33648 | 0.668240 | − | 0.743946i | \(-0.267048\pi\) | ||||
0.668240 | + | 0.743946i | \(0.267048\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 22.9321 | 0.769118 | ||||||||
\(890\) | −10.5349 | + | 8.83982i | −0.353130 | + | 0.296312i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −2.11418 | + | 11.9901i | −0.0707878 | + | 0.401458i | ||||
\(893\) | −1.75642 | + | 0.639285i | −0.0587764 | + | 0.0213929i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −16.5921 | + | 6.03903i | −0.554612 | + | 0.201862i | ||||
\(896\) | −2.41262 | − | 4.17878i | −0.0805999 | − | 0.139603i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.29367 | − | 5.70481i | 0.109911 | − | 0.190372i | ||||
\(899\) | 15.9768 | + | 27.6726i | 0.532856 | + | 0.922933i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.14570 | − | 17.8401i | 0.104798 | − | 0.594341i | ||||
\(902\) | −1.59253 | + | 2.75834i | −0.0530253 | + | 0.0918426i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.99957 | + | 2.18367i | 0.199543 | + | 0.0726276i | ||||
\(905\) | 4.72730 | + | 26.8099i | 0.157141 | + | 0.891190i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 34.4417 | + | 28.9000i | 1.14362 | + | 0.959610i | 0.999551 | − | 0.0299580i | \(-0.00953737\pi\) |
0.144067 | + | 0.989568i | \(0.453982\pi\) | |||||||
\(908\) | 3.69870 | + | 20.9763i | 0.122746 | + | 0.696124i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 12.2930 | + | 4.47429i | 0.407509 | + | 0.148321i | ||||
\(911\) | −7.10212 | + | 12.3012i | −0.235304 | + | 0.407558i | −0.959361 | − | 0.282182i | \(-0.908942\pi\) |
0.724057 | + | 0.689740i | \(0.242275\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.26805 | + | 3.58132i | −0.141252 | + | 0.118524i | ||||
\(914\) | −14.4956 | − | 25.1071i | −0.479472 | − | 0.830469i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.494828 | − | 2.80631i | −0.0163496 | − | 0.0927231i | ||||
\(917\) | −43.3957 | − | 75.1636i | −1.43305 | − | 2.48212i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 46.2177 | 1.52458 | 0.762291 | − | 0.647235i | \(-0.224075\pi\) | ||||
0.762291 | + | 0.647235i | \(0.224075\pi\) | |||||||
\(920\) | −0.350192 | + | 0.127459i | −0.0115455 | + | 0.00420221i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 27.4638 | + | 23.0448i | 0.904471 | + | 0.758941i | ||||
\(923\) | 1.65196 | − | 1.38616i | 0.0543750 | − | 0.0456261i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.7669 | + | 6.50404i | −0.485532 | + | 0.213851i | ||||
\(926\) | 18.5824 | 0.610657 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.26819 | − | 3.58144i | −0.140110 | − | 0.117567i | ||||
\(929\) | 9.34083 | − | 52.9745i | 0.306463 | − | 1.73804i | −0.310076 | − | 0.950712i | \(-0.600355\pi\) |
0.616539 | − | 0.787325i | \(-0.288534\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −13.4372 | −0.440387 | ||||||||
\(932\) | 22.0983 | − | 8.04313i | 0.723855 | − | 0.263462i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.285869 | − | 1.62124i | −0.00935392 | − | 0.0530487i | ||||
\(935\) | −2.46831 | + | 4.27524i | −0.0807223 | + | 0.139815i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −30.8185 | + | 25.8598i | −1.00680 | + | 0.844803i | −0.987912 | − | 0.155018i | \(-0.950456\pi\) |
−0.0188857 | + | 0.999822i | \(0.506012\pi\) | |||||||
\(938\) | 7.52763 | − | 42.6913i | 0.245786 | − | 1.39392i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.26088 | − | 1.18686i | −0.106358 | − | 0.0387112i | ||||
\(941\) | −1.65197 | − | 0.601267i | −0.0538526 | − | 0.0196007i | 0.314953 | − | 0.949107i | \(-0.398011\pi\) |
−0.368806 | + | 0.929506i | \(0.620233\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.542591 | − | 0.455288i | −0.0176692 | − | 0.0148262i | ||||
\(944\) | −6.76052 | − | 5.67275i | −0.220036 | − | 0.184632i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.50175 | + | 1.63850i | 0.146365 | + | 0.0532724i | ||||
\(947\) | 47.7122 | + | 17.3658i | 1.55044 | + | 0.564313i | 0.968520 | − | 0.248935i | \(-0.0800804\pi\) |
0.581917 | + | 0.813248i | \(0.302303\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.70231 | − | 15.3256i | 0.0877207 | − | 0.497489i | ||||
\(950\) | −1.67695 | + | 1.40713i | −0.0544075 | + | 0.0456533i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.10721 | − | 12.3100i | 0.230346 | − | 0.398971i | ||||
\(953\) | −4.28306 | − | 24.2904i | −0.138742 | − | 0.786845i | −0.972181 | − | 0.234233i | \(-0.924742\pi\) |
0.833439 | − | 0.552612i | \(-0.186369\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 37.3043 | − | 13.5776i | 1.20714 | − | 0.439362i | ||||
\(956\) | −8.03813 | −0.259972 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.91643 | + | 33.5538i | −0.191151 | + | 1.08407i | ||||
\(959\) | 81.7230 | + | 68.5738i | 2.63897 | + | 2.21436i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.88962 | 0.0609556 | ||||||||
\(962\) | 2.56227 | + | 10.4545i | 0.0826107 | + | 0.337067i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 14.1349 | − | 11.8606i | 0.455256 | − | 0.382005i | ||||
\(965\) | −12.7963 | − | 10.7373i | −0.411926 | − | 0.345647i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.2331 | − | 10.6400i | 0.940073 | − | 0.342158i | 0.173878 | − | 0.984767i | \(-0.444370\pi\) |
0.766194 | + | 0.642609i | \(0.222148\pi\) | |||||||
\(968\) | 9.80362 | 0.315100 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.33924 | − | 5.78374i | −0.107217 | − | 0.185705i | ||||
\(971\) | −3.59887 | − | 20.4102i | −0.115493 | − | 0.654995i | −0.986505 | − | 0.163732i | \(-0.947647\pi\) |
0.871011 | − | 0.491263i | \(-0.163464\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.43076 | − | 11.1384i | −0.206161 | − | 0.357081i | ||||
\(974\) | 23.8162 | − | 19.9842i | 0.763120 | − | 0.640334i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.87612 | − | 10.1777i | 0.188090 | − | 0.325781i | ||||
\(977\) | −25.9583 | − | 9.44805i | −0.830480 | − | 0.302270i | −0.108424 | − | 0.994105i | \(-0.534580\pi\) |
−0.722056 | + | 0.691835i | \(0.756803\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.70489 | − | 9.66893i | −0.0544886 | − | 0.309020i | ||||
\(980\) | −19.1104 | − | 16.0355i | −0.610459 | − | 0.512236i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.08705 | + | 34.5214i | 0.194246 | + | 1.10162i | ||||
\(983\) | −29.9156 | − | 10.8884i | −0.954159 | − | 0.347285i | −0.182417 | − | 0.983221i | \(-0.558392\pi\) |
−0.771742 | + | 0.635936i | \(0.780614\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.93573 | − | 8.54894i | 0.157265 | − | 0.272392i | ||||
\(986\) | 2.85017 | − | 16.1641i | 0.0907680 | − | 0.514771i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.730160 | + | 1.26467i | 0.0232295 | + | 0.0402346i | ||||
\(989\) | −0.532682 | + | 0.922632i | −0.0169383 | + | 0.0293380i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.0451636 | − | 0.0782257i | −0.00143467 | − | 0.00248492i | 0.865307 | − | 0.501242i | \(-0.167123\pi\) |
−0.866742 | + | 0.498757i | \(0.833790\pi\) | |||||||
\(992\) | −5.38909 | + | 1.96147i | −0.171104 | + | 0.0622767i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.52562 | + | 2.01116i | −0.175262 | + | 0.0637902i | ||||
\(995\) | −5.01642 | + | 28.4495i | −0.159031 | + | 0.901911i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 35.7709 | − | 30.0153i | 1.13288 | − | 0.950595i | 0.133693 | − | 0.991023i | \(-0.457316\pi\) |
0.999182 | + | 0.0404277i | \(0.0128720\pi\) | |||||||
\(998\) | 35.1712 | 1.11332 | ||||||||
\(999\) | 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 | 666.2.x.g.271.2 | 12 | ||
3.2 | odd | 2 | 74.2.f.b.49.1 | ✓ | 12 | ||
12.11 | even | 2 | 592.2.bc.d.49.2 | 12 | |||
37.34 | even | 9 | inner | 666.2.x.g.145.2 | 12 | ||
111.53 | odd | 18 | 2738.2.a.t.1.1 | 6 | |||
111.71 | odd | 18 | 74.2.f.b.71.1 | yes | 12 | ||
111.95 | odd | 18 | 2738.2.a.q.1.1 | 6 | |||
444.71 | even | 18 | 592.2.bc.d.145.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.f.b.49.1 | ✓ | 12 | 3.2 | odd | 2 | ||
74.2.f.b.71.1 | yes | 12 | 111.71 | odd | 18 | ||
592.2.bc.d.49.2 | 12 | 12.11 | even | 2 | |||
592.2.bc.d.145.2 | 12 | 444.71 | even | 18 | |||
666.2.x.g.145.2 | 12 | 37.34 | even | 9 | inner | ||
666.2.x.g.271.2 | 12 | 1.1 | even | 1 | trivial | ||
2738.2.a.q.1.1 | 6 | 111.95 | odd | 18 | |||
2738.2.a.t.1.1 | 6 | 111.53 | odd | 18 |