Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [668,2,Mod(9,668)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(668, base_ring=CyclotomicField(166))
chi = DirichletCharacter(H, H._module([0, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("668.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 668 = 2^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 668.e (of order \(83\), degree \(82\), 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: | \(5.33400685502\) |
Analytic rank: | \(0\) |
Dimension: | \(1148\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{83})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{83}]$ |
Embedding invariants
Embedding label | 9.4 | ||
Character | \(\chi\) | \(=\) | 668.9 |
Dual form | 668.2.e.a.297.4 |
$q$-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 \(\left(\mathbb{Z}/668\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(335\) |
\(\chi(n)\) | \(e\left(\frac{11}{83}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.198520 | − | 1.48975i | −0.114616 | − | 0.860108i | −0.950396 | − | 0.311043i | \(-0.899322\pi\) |
0.835780 | − | 0.549064i | \(-0.185016\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.0282706 | − | 0.0125015i | −0.0126430 | − | 0.00559085i | 0.398099 | − | 0.917342i | \(-0.369670\pi\) |
−0.410742 | + | 0.911752i | \(0.634730\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.06702 | − | 4.44493i | 0.781259 | − | 1.68003i | 0.0491957 | − | 0.998789i | \(-0.484334\pi\) |
0.732064 | − | 0.681236i | \(-0.238557\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.715369 | − | 0.194103i | 0.238456 | − | 0.0647010i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.41544 | − | 1.81482i | 0.426770 | − | 0.547189i | −0.526157 | − | 0.850387i | \(-0.676368\pi\) |
0.952928 | + | 0.303198i | \(0.0980544\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.91156 | + | 5.68762i | −0.807521 | + | 1.57746i | 0.00886860 | + | 0.999961i | \(0.497177\pi\) |
−0.816390 | + | 0.577501i | \(0.804028\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.0130118 | + | 0.0445980i | −0.00335964 | + | 0.0115152i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 6.97762 | + | 0.529224i | 1.69232 | + | 0.128356i | 0.886172 | − | 0.463357i | \(-0.153355\pi\) |
0.806149 | + | 0.591713i | \(0.201548\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.209281 | − | 0.314820i | 0.0480123 | − | 0.0722247i | −0.807992 | − | 0.589193i | \(-0.799446\pi\) |
0.856004 | + | 0.516969i | \(0.172940\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −7.03218 | − | 2.19693i | −1.53455 | − | 0.479410i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −8.13282 | − | 3.23426i | −1.69581 | − | 0.674390i | −0.696732 | − | 0.717331i | \(-0.745364\pi\) |
−0.999078 | + | 0.0429406i | \(0.986327\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.36372 | − | 3.69809i | −0.672744 | − | 0.739617i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.17630 | − | 5.18453i | −0.418828 | − | 0.997762i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5.14171 | + | 2.04476i | −0.954792 | + | 0.379702i | −0.794430 | − | 0.607356i | \(-0.792230\pi\) |
−0.160362 | + | 0.987058i | \(0.551266\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.60376 | − | 0.832792i | 0.647255 | − | 0.149574i | 0.111255 | − | 0.993792i | \(-0.464513\pi\) |
0.536000 | + | 0.844218i | \(0.319935\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.98462 | − | 1.74837i | −0.519556 | − | 0.304352i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.114004 | + | 0.0998202i | −0.0192702 | + | 0.0168727i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.79065 | + | 1.57119i | 0.951978 | + | 0.258303i | 0.703789 | − | 0.710409i | \(-0.251490\pi\) |
0.248189 | + | 0.968712i | \(0.420165\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 9.05114 | + | 3.20839i | 1.44934 | + | 0.513753i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.28078 | − | 3.55486i | 1.13707 | − | 0.555177i | 0.228761 | − | 0.973483i | \(-0.426533\pi\) |
0.908306 | + | 0.418306i | \(0.137376\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.603945 | + | 6.36336i | −0.0921007 | + | 0.970403i | 0.823232 | + | 0.567705i | \(0.192169\pi\) |
−0.915333 | + | 0.402698i | \(0.868072\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.0226505 | − | 0.00345578i | −0.00337654 | − | 0.000515157i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.0246519 | − | 1.30244i | −0.00359585 | − | 0.189980i | −0.997096 | − | 0.0761514i | \(-0.975737\pi\) |
0.993500 | − | 0.113828i | \(-0.0363114\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −10.9741 | − | 13.0227i | −1.56772 | − | 1.86038i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.596785 | − | 10.5000i | −0.0835666 | − | 1.47029i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.848005 | − | 4.93044i | −0.116483 | − | 0.677248i | −0.983769 | − | 0.179439i | \(-0.942572\pi\) |
0.867287 | − | 0.497809i | \(-0.165862\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0627033 | + | 0.0336110i | −0.00845492 | + | 0.00453211i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.510550 | − | 0.249278i | −0.0676240 | − | 0.0330176i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.08146 | + | 0.0820246i | −0.140794 | + | 0.0106787i | −0.145837 | − | 0.989309i | \(-0.546588\pi\) |
0.00504280 | + | 0.999987i | \(0.498395\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.52529 | + | 6.64997i | −0.835478 | + | 0.851441i | −0.990647 | − | 0.136447i | \(-0.956432\pi\) |
0.155170 | + | 0.987888i | \(0.450408\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.615906 | − | 3.58098i | 0.0775969 | − | 0.451161i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.153416 | − | 0.124394i | 0.0190289 | − | 0.0154291i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.57019 | − | 3.34760i | 0.924845 | − | 0.408974i | 0.113498 | − | 0.993538i | \(-0.463795\pi\) |
0.811348 | + | 0.584564i | \(0.198734\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.20372 | + | 12.7579i | −0.385682 | + | 1.53587i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.58962 | − | 0.751495i | 0.782044 | − | 0.0891860i | 0.286858 | − | 0.957973i | \(-0.407389\pi\) |
0.495186 | + | 0.868787i | \(0.335100\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.31633 | + | 3.23696i | −0.505189 | + | 0.378858i | −0.821871 | − | 0.569674i | \(-0.807070\pi\) |
0.316682 | + | 0.948532i | \(0.397431\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.84146 | + | 5.74525i | −0.559043 | + | 0.663404i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.14102 | − | 10.0428i | −0.585873 | − | 1.14448i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.94963 | + | 13.1666i | −0.556877 | + | 1.48136i | 0.293902 | + | 0.955835i | \(0.405046\pi\) |
−0.850779 | + | 0.525523i | \(0.823870\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.37288 | + | 3.14739i | −0.596986 | + | 0.349710i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.616826 | + | 0.855781i | −0.0677054 | + | 0.0939342i | −0.843728 | − | 0.536771i | \(-0.819644\pi\) |
0.776023 | + | 0.630705i | \(0.217234\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.190646 | − | 0.102192i | −0.0206784 | − | 0.0110843i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.06691 | + | 7.25394i | 0.436019 | + | 0.777704i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.357183 | − | 1.22424i | −0.0378613 | − | 0.129769i | 0.938850 | − | 0.344326i | \(-0.111892\pi\) |
−0.976712 | + | 0.214556i | \(0.931169\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 19.2628 | + | 24.6981i | 2.01929 | + | 2.58906i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.95607 | − | 5.20338i | −0.202835 | − | 0.539565i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.00985223 | + | 0.00628384i | −0.00101082 | + | 0.000644709i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.87162 | + | 1.35687i | 0.596173 | + | 0.137769i | 0.512446 | − | 0.858719i | \(-0.328739\pi\) |
0.0837268 | + | 0.996489i | \(0.473318\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.660298 | − | 1.57301i | 0.0663624 | − | 0.158093i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.04374 | − | 10.9972i | −0.103856 | − | 1.09427i | −0.883624 | − | 0.468197i | \(-0.844904\pi\) |
0.779768 | − | 0.626069i | \(-0.215337\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.308695 | − | 0.213741i | 0.0304166 | − | 0.0210605i | −0.553957 | − | 0.832546i | \(-0.686883\pi\) |
0.584373 | + | 0.811485i | \(0.301340\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.171339 | + | 0.150022i | 0.0167210 | + | 0.0146406i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.57701 | − | 1.78433i | −0.249129 | − | 0.172497i | 0.438126 | − | 0.898914i | \(-0.355642\pi\) |
−0.687255 | + | 0.726416i | \(0.741185\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.31293 | + | 5.93988i | 0.892017 | + | 0.568937i | 0.902347 | − | 0.431010i | \(-0.141843\pi\) |
−0.0103304 | + | 0.999947i | \(0.503288\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.19113 | − | 8.93854i | 0.113057 | − | 0.848409i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −10.1344 | + | 16.5731i | −0.953368 | + | 1.55906i | −0.130033 | + | 0.991510i | \(0.541508\pi\) |
−0.823335 | + | 0.567555i | \(0.807889\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.189487 | + | 0.193107i | 0.0176697 | + | 0.0180073i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.978855 | + | 4.63389i | −0.0904951 | + | 0.428403i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 16.7752 | − | 29.9211i | 1.53778 | − | 2.74286i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.38898 | + | 5.53123i | 0.126271 | + | 0.502839i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.74124 | − | 10.1408i | −0.607837 | − | 0.914368i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.0977350 | + | 0.293226i | 0.00874168 | + | 0.0262269i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.07736 | − | 0.350949i | −0.273072 | − | 0.0311417i | −0.0243031 | − | 0.999705i | \(-0.507737\pi\) |
−0.248769 | + | 0.968563i | \(0.580026\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 9.59971 | − | 0.363528i | 0.845207 | − | 0.0320068i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.636760 | + | 11.2033i | −0.0556340 | + | 0.978836i | 0.842384 | + | 0.538878i | \(0.181151\pi\) |
−0.898018 | + | 0.439959i | \(0.854993\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.966767 | − | 1.58098i | −0.0838293 | − | 0.137088i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.00328916 | + | 0.173777i | −0.000283086 | + | 0.0149563i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 17.0189 | − | 6.03274i | 1.45402 | − | 0.515412i | 0.514377 | − | 0.857564i | \(-0.328023\pi\) |
0.939644 | + | 0.342152i | \(0.111156\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.1293 | + | 11.4595i | 1.02880 | + | 0.971982i | 0.999619 | − | 0.0275918i | \(-0.00878386\pi\) |
0.0291763 | + | 0.999574i | \(0.490712\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.93541 | + | 0.295285i | −0.162991 | + | 0.0248675i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.20089 | + | 13.3344i | 0.518544 | + | 1.11508i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.170922 | + | 0.00647258i | 0.0141943 | + | 0.000537518i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −17.2219 | + | 18.9339i | −1.42044 | + | 1.56164i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 11.2464 | + | 9.11887i | 0.921337 | + | 0.747047i | 0.967760 | − | 0.251875i | \(-0.0810472\pi\) |
−0.0464226 | + | 0.998922i | \(0.514782\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.3831 | + | 13.7861i | 1.49600 | + | 1.12190i | 0.960825 | + | 0.277156i | \(0.0893920\pi\) |
0.535173 | + | 0.844743i | \(0.320247\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.09430 | − | 0.975786i | 0.411849 | − | 0.0788876i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.112292 | − | 0.0215089i | −0.00901950 | − | 0.00172764i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.59874 | + | 7.56842i | 0.127593 | + | 0.604026i | 0.994427 | + | 0.105428i | \(0.0336214\pi\) |
−0.866834 | + | 0.498598i | \(0.833849\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −7.17678 | + | 2.24211i | −0.569156 | + | 0.177811i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −31.1868 | + | 29.4645i | −2.45786 | + | 2.32213i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.56759 | − | 13.7037i | 0.357761 | − | 1.07336i | −0.603416 | − | 0.797427i | \(-0.706194\pi\) |
0.961177 | − | 0.275933i | \(-0.0889866\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.0625199 | + | 0.0867398i | 0.00486717 | + | 0.00675269i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −8.49817 | − | 9.73556i | −0.657608 | − | 0.753360i | ||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −16.2705 | − | 22.5736i | −1.25158 | − | 1.73643i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.0886053 | − | 0.265835i | 0.00677581 | − | 0.0203289i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.6495 | − | 11.9509i | 0.961720 | − | 0.908611i | −0.0341487 | − | 0.999417i | \(-0.510872\pi\) |
0.995869 | + | 0.0908058i | \(0.0289443\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −23.3906 | + | 7.30749i | −1.76816 | + | 0.552394i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.336888 | + | 1.59483i | 0.0253221 | + | 0.119874i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 15.6538 | + | 2.99840i | 1.17002 | + | 0.224111i | 0.736120 | − | 0.676851i | \(-0.236656\pi\) |
0.433898 | + | 0.900962i | \(0.357138\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 24.1431 | − | 4.62449i | 1.79454 | − | 0.343735i | 0.820770 | − | 0.571259i | \(-0.193545\pi\) |
0.973773 | + | 0.227524i | \(0.0730629\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 11.2022 | + | 8.40090i | 0.828089 | + | 0.621012i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.144063 | − | 0.116811i | −0.0105917 | − | 0.00858809i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 10.8368 | − | 11.9140i | 0.792467 | − | 0.871241i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −27.5433 | − | 1.04303i | −2.00348 | − | 0.0758690i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.49496 | − | 13.9668i | −0.469959 | − | 1.01060i | −0.987887 | − | 0.155178i | \(-0.950405\pi\) |
0.517928 | − | 0.855424i | \(-0.326704\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.70297 | − | 0.412392i | 0.194564 | − | 0.0296846i | −0.0528100 | − | 0.998605i | \(-0.516818\pi\) |
0.247374 | + | 0.968920i | \(0.420432\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.215772 | − | 0.203856i | −0.0154517 | − | 0.0145984i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −15.2052 | + | 5.38982i | −1.08332 | + | 0.384009i | −0.815084 | − | 0.579343i | \(-0.803309\pi\) |
−0.268239 | + | 0.963353i | \(0.586442\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.326444 | + | 17.2471i | −0.0231410 | + | 1.22261i | 0.779598 | + | 0.626281i | \(0.215424\pi\) |
−0.802739 | + | 0.596331i | \(0.796625\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.48992 | − | 10.6131i | −0.457764 | − | 0.748592i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.53920 | + | 27.0811i | −0.108031 | + | 1.90072i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.250274 | + | 0.00947751i | −0.0174799 | + | 0.000661938i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.44575 | − | 0.735087i | −0.448010 | − | 0.0510921i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.275119 | − | 0.825415i | −0.0190304 | − | 0.0570951i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.228415 | − | 0.343604i | −0.0157247 | − | 0.0236546i | 0.824835 | − | 0.565373i | \(-0.191268\pi\) |
−0.840560 | + | 0.541719i | \(0.817774\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.42771 | − | 9.66770i | −0.166344 | − | 0.662420i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.0966256 | − | 0.172346i | 0.00658981 | − | 0.0117539i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.74734 | − | 17.7399i | 0.254386 | − | 1.20426i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.67915 | + | 5.78766i | 0.383761 | + | 0.391094i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −23.3258 | + | 38.1452i | −1.56906 | + | 2.56592i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.01049 | − | 15.0873i | 0.134632 | − | 1.01032i | −0.785542 | − | 0.618808i | \(-0.787616\pi\) |
0.920174 | − | 0.391509i | \(-0.128047\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.12411 | − | 1.99259i | −0.208274 | − | 0.132839i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.61858 | − | 1.81311i | −0.173801 | − | 0.120340i | 0.479173 | − | 0.877721i | \(-0.340937\pi\) |
−0.652974 | + | 0.757380i | \(0.726479\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.91192 | + | 3.42521i | 0.258507 | + | 0.226344i | 0.778212 | − | 0.628002i | \(-0.216127\pi\) |
−0.519705 | + | 0.854346i | \(0.673958\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −13.9406 | + | 9.65253i | −0.917227 | + | 0.635090i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.553791 | + | 5.83493i | 0.0362801 | + | 0.382259i | 0.995147 | + | 0.0984019i | \(0.0313731\pi\) |
−0.958867 | + | 0.283857i | \(0.908386\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.0155855 | + | 0.0371289i | −0.00101669 | + | 0.00242202i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 20.5975 | + | 4.75988i | 1.33795 | + | 0.309187i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.01696 | + | 5.11329i | −0.518574 | + | 0.330751i | −0.770969 | − | 0.636873i | \(-0.780228\pi\) |
0.252395 | + | 0.967624i | \(0.418782\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.60271 | + | 4.26339i | 0.103239 | + | 0.274629i | 0.977538 | − | 0.210760i | \(-0.0675938\pi\) |
−0.874298 | + | 0.485389i | \(0.838678\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −4.61854 | − | 5.92172i | −0.296279 | − | 0.379879i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.147441 | + | 0.505351i | 0.00941963 | + | 0.0322857i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.18125 | + | 2.10693i | 0.0751608 | + | 0.134060i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.39735 | + | 0.749027i | 0.0885536 | + | 0.0474676i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.10514 | + | 2.92066i | −0.132875 | + | 0.184350i | −0.872420 | − | 0.488757i | \(-0.837450\pi\) |
0.739545 | + | 0.673107i | \(0.235041\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −17.3811 | + | 10.1817i | −1.09274 | + | 0.640119i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.114394 | + | 0.304302i | −0.00716363 | + | 0.0190561i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.8116 | − | 21.1200i | −0.674407 | − | 1.31743i | −0.935915 | − | 0.352227i | \(-0.885425\pi\) |
0.261508 | − | 0.965201i | \(-0.415780\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 18.9532 | − | 22.4914i | 1.17770 | − | 1.39755i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.28133 | + | 2.46078i | −0.203109 | + | 0.152318i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.56867 | − | 0.292937i | 0.158391 | − | 0.0180632i | −0.0337516 | − | 0.999430i | \(-0.510746\pi\) |
0.192143 | + | 0.981367i | \(0.438456\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.0376644 | + | 0.149988i | −0.00231370 | + | 0.00921370i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.75291 | + | 0.775150i | −0.107276 | + | 0.0474384i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.14893 | + | 3.36408i | −0.252965 | + | 0.205111i | −0.747887 | − | 0.663826i | \(-0.768932\pi\) |
0.494922 | + | 0.868937i | \(0.335197\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.48639 | + | 14.4563i | −0.151037 | + | 0.878156i | 0.806796 | + | 0.590830i | \(0.201200\pi\) |
−0.957833 | + | 0.287325i | \(0.907234\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 32.9699 | − | 33.5999i | 1.99543 | − | 2.03356i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −11.4725 | + | 0.870143i | −0.691818 | + | 0.0524716i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.7916 | − | 6.24556i | −0.768575 | − | 0.375259i | 0.0123179 | − | 0.999924i | \(-0.496079\pi\) |
−0.780893 | + | 0.624665i | \(0.785236\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.41637 | − | 1.29525i | 0.144664 | − | 0.0775449i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.75347 | − | 16.0091i | −0.164258 | − | 0.955023i | −0.944249 | − | 0.329232i | \(-0.893210\pi\) |
0.779991 | − | 0.625791i | \(-0.215224\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.143015 | − | 2.51624i | −0.00850135 | − | 0.149575i | −0.999834 | − | 0.0182015i | \(-0.994206\pi\) |
0.991333 | − | 0.131373i | \(-0.0419386\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.0113172 | + | 0.0134299i | 0.000670374 | + | 0.000795518i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.751622 | − | 39.7105i | −0.0443668 | − | 2.34404i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 31.6015 | + | 4.82143i | 1.85891 | + | 0.283614i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.855765 | − | 9.01662i | 0.0501658 | − | 0.528563i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 18.6203 | − | 9.09141i | 1.08781 | − | 0.531126i | 0.194652 | − | 0.980872i | \(-0.437642\pi\) |
0.893156 | + | 0.449746i | \(0.148486\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.0315991 | + | 0.0112010i | 0.00183977 | + | 0.000652150i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −12.4894 | − | 3.38878i | −0.724708 | − | 0.196637i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 42.0744 | − | 36.8396i | 2.43323 | − | 2.13049i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 27.0363 | + | 15.8377i | 1.55835 | + | 0.912868i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −16.1759 | + | 3.73809i | −0.929283 | + | 0.214748i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.267609 | − | 0.106423i | 0.0153232 | − | 0.00609375i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.16696 | − | 5.16228i | −0.123675 | − | 0.294627i | 0.848377 | − | 0.529392i | \(-0.177580\pi\) |
−0.972052 | + | 0.234765i | \(0.924568\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.379702 | − | 0.417446i | −0.0216005 | − | 0.0237477i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.81929 | − | 3.90494i | −0.556801 | − | 0.221429i | 0.0741561 | − | 0.997247i | \(-0.476374\pi\) |
−0.630957 | + | 0.775818i | \(0.717338\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.93567 | − | 1.54196i | −0.278981 | − | 0.0871567i | 0.155506 | − | 0.987835i | \(-0.450299\pi\) |
−0.434487 | + | 0.900678i | \(0.643070\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.0621797 | + | 0.0935368i | −0.00350343 | + | 0.00527020i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −26.2675 | − | 1.99228i | −1.47533 | − | 0.111898i | −0.686779 | − | 0.726866i | \(-0.740976\pi\) |
−0.788552 | + | 0.614969i | \(0.789169\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.56690 | + | 12.2255i | −0.199708 | + | 0.684497i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.14661 | + | 4.19333i | −0.119812 | + | 0.234049i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.62689 | − | 2.08594i | 0.0905226 | − | 0.116065i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 30.8270 | − | 8.36437i | 1.70997 | − | 0.463972i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 7.00013 | − | 15.0531i | 0.387108 | − | 0.832439i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.84019 | − | 2.58258i | −0.321980 | − | 0.142382i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.0221989 | − | 0.166587i | −0.00122016 | − | 0.00915644i | 0.990617 | − | 0.136666i | \(-0.0436389\pi\) |
−0.991837 | + | 0.127510i | \(0.959302\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.44743 | 0.243718 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.255864 | −0.0139793 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.71530 | − | 12.8721i | −0.0934386 | − | 0.701189i | −0.973885 | − | 0.227043i | \(-0.927094\pi\) |
0.880446 | − | 0.474146i | \(-0.157243\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 26.7016 | + | 11.8077i | 1.45023 | + | 0.641306i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.58953 | − | 7.71895i | 0.194384 | − | 0.418004i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −47.4515 | + | 12.8752i | −2.56214 | + | 0.695193i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.250065 | − | 0.320624i | 0.0134630 | − | 0.0172618i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.76259 | + | 17.1174i | −0.470400 | + | 0.918909i | 0.527205 | + | 0.849738i | \(0.323240\pi\) |
−0.997605 | + | 0.0691707i | \(0.977965\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.84398 | + | 23.4577i | −0.366350 | + | 1.25566i | 0.543037 | + | 0.839709i | \(0.317274\pi\) |
−0.909387 | + | 0.415952i | \(0.863448\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 35.8240 | + | 2.71711i | 1.91215 | + | 0.145028i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.53022 | − | 11.3277i | 0.400793 | − | 0.602912i | −0.575909 | − | 0.817514i | \(-0.695352\pi\) |
0.976702 | + | 0.214602i | \(0.0688455\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.195688 | − | 0.0611351i | −0.0103860 | − | 0.00324471i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −47.9052 | − | 19.0510i | −2.53541 | − | 1.00828i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 13.4397 | + | 14.7757i | 0.709322 | + | 0.779832i | 0.983317 | − | 0.181900i | \(-0.0582246\pi\) |
−0.273995 | + | 0.961731i | \(0.588345\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.29864 | + | 17.3873i | 0.384139 | + | 0.915123i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 7.96441 | − | 3.16729i | 0.418023 | − | 0.166240i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.162492 | − | 0.0375503i | 0.00850525 | − | 0.00196547i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.809045 | − | 0.473932i | −0.0422318 | − | 0.0247391i | 0.484186 | − | 0.874965i | \(-0.339116\pi\) |
−0.526418 | + | 0.850226i | \(0.676465\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.51843 | − | 3.95626i | 0.235220 | − | 0.205955i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −23.6683 | − | 6.42199i | −1.22880 | − | 0.333413i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.90448 | + | 2.44745i | 0.357500 | + | 0.126724i | 0.506791 | − | 0.862069i | \(-0.330832\pi\) |
−0.149291 | + | 0.988793i | \(0.547699\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.417431 | − | 0.203812i | 0.0215560 | − | 0.0105248i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.34059 | − | 35.1975i | 0.172049 | − | 1.81277i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −27.1672 | − | 4.14489i | −1.39548 | − | 0.212908i | −0.590899 | − | 0.806746i | \(-0.701227\pi\) |
−0.804585 | + | 0.593837i | \(0.797612\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.0880919 | + | 4.65417i | 0.00451308 | + | 0.238440i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −6.61825 | − | 7.85373i | −0.338177 | − | 0.401307i | 0.568808 | − | 0.822471i | \(-0.307405\pi\) |
−0.906985 | + | 0.421164i | \(0.861622\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.0197898 | + | 0.348187i | 0.00100858 | + | 0.0177452i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.803104 | + | 4.66938i | 0.0408241 | + | 0.237358i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −30.7791 | + | 16.4986i | −1.56056 | + | 0.836512i | −0.560597 | + | 0.828089i | \(0.689428\pi\) |
−0.999965 | + | 0.00842353i | \(0.997319\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −55.0361 | − | 26.8715i | −2.78329 | − | 1.35895i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 16.8165 | − | 1.27546i | 0.848281 | − | 0.0643387i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.304532 | − | 0.310350i | 0.0153227 | − | 0.0156154i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.73738 | + | 27.5439i | −0.237762 | + | 1.38239i | 0.583628 | + | 0.812021i | \(0.301633\pi\) |
−0.821390 | + | 0.570367i | \(0.806801\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −2.16334 | + | 1.75410i | −0.108302 | + | 0.0878147i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 17.0728 | − | 7.54975i | 0.852576 | − | 0.377016i | 0.0684775 | − | 0.997653i | \(-0.478186\pi\) |
0.784099 | + | 0.620636i | \(0.213126\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.75596 | + | 22.9216i | −0.286725 | + | 1.14180i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.191242 | − | 0.0218096i | 0.00950288 | − | 0.00108373i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 11.0477 | − | 8.28508i | 0.547616 | − | 0.410676i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.49299 | − | 4.14506i | 0.172717 | − | 0.204960i | −0.671434 | − | 0.741064i | \(-0.734321\pi\) |
0.844152 | + | 0.536104i | \(0.180105\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −12.3659 | − | 24.1563i | −0.609963 | − | 1.19154i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.87081 | + | 4.97657i | −0.0920565 | + | 0.244881i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.0281366 | − | 0.0164822i | 0.00138117 | − | 0.000809080i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 14.6639 | − | 20.3446i | 0.718093 | − | 0.996279i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −10.9202 | − | 5.85361i | −0.533488 | − | 0.285967i | 0.183539 | − | 0.983012i | \(-0.441245\pi\) |
−0.717027 | + | 0.697045i | \(0.754498\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.67685 | + | 13.6928i | 0.374147 | + | 0.667346i | 0.992994 | − | 0.118165i | \(-0.0377012\pi\) |
−0.618847 | + | 0.785511i | \(0.712400\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.270442 | − | 0.926938i | −0.0131493 | − | 0.0450693i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −21.5136 | − | 27.5840i | −1.04356 | − | 1.33802i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 16.0707 | + | 42.7500i | 0.777718 | + | 2.06882i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 18.6340 | − | 11.8849i | 0.899656 | − | 0.573809i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.41981 | + | 1.02137i | 0.212895 | + | 0.0491978i | 0.330256 | − | 0.943892i | \(-0.392865\pi\) |
−0.117361 | + | 0.993089i | \(0.537443\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.42673 | + | 15.3102i | −0.308849 | + | 0.735762i | 0.691067 | + | 0.722791i | \(0.257141\pi\) |
−0.999916 | + | 0.0129713i | \(0.995871\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.0242889 | − | 0.255916i | −0.00116456 | − | 0.0122702i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.72025 | + | 1.88351i | −0.130127 | + | 0.0901004i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.25687 | − | 1.97608i | −0.107715 | − | 0.0943130i | 0.603205 | − | 0.797586i | \(-0.293890\pi\) |
−0.710920 | + | 0.703273i | \(0.751721\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.3782 | − | 7.18591i | −0.494202 | − | 0.342186i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 25.3810 | + | 16.1883i | 1.20589 | + | 0.769128i | 0.978814 | − | 0.204750i | \(-0.0656380\pi\) |
0.227075 | + | 0.973877i | \(0.427084\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.00520709 | + | 0.0390754i | −0.000246840 | + | 0.00185235i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 11.3522 | − | 18.5645i | 0.536941 | − | 0.878072i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 26.7536 | + | 27.2647i | 1.26258 | + | 1.28670i | 0.940419 | + | 0.340018i | \(0.110433\pi\) |
0.322160 | + | 0.946685i | \(0.395591\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.85404 | − | 18.2450i | 0.181480 | − | 0.859124i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 16.8885 | − | 30.1231i | 0.793489 | − | 1.41531i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.235809 | − | 0.939045i | −0.0110549 | − | 0.0440231i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.7267 | + | 16.1362i | 0.501775 | + | 0.754818i | 0.993240 | − | 0.116079i | \(-0.0370325\pi\) |
−0.491465 | + | 0.870897i | \(0.663539\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −12.4416 | − | 37.3274i | −0.580723 | − | 1.74229i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.66163 | − | 1.10183i | −0.449987 | − | 0.0513175i | −0.114629 | − | 0.993408i | \(-0.536568\pi\) |
−0.335358 | + | 0.942091i | \(0.608857\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 29.7817 | − | 1.12779i | 1.38407 | − | 0.0524130i | 0.664739 | − | 0.747076i | \(-0.268543\pi\) |
0.719336 | + | 0.694663i | \(0.244446\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.00975074 | + | 0.171557i | −0.000452180 | + | 0.00795575i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7.03357 | − | 11.5022i | −0.325475 | − | 0.532256i | 0.647827 | − | 0.761788i | \(-0.275678\pi\) |
−0.973301 | + | 0.229532i | \(0.926281\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.767861 | − | 40.5685i | 0.0354565 | − | 1.87328i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 10.9577 | − | 3.88421i | 0.504903 | − | 0.178975i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 10.6935 | + | 10.1030i | 0.491688 | + | 0.464536i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.86819 | + | 0.285029i | −0.0857186 | + | 0.0130780i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.56365 | − | 3.36248i | −0.0715946 | − | 0.153958i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −21.1175 | − | 0.799691i | −0.964884 | − | 0.0365388i | −0.449303 | − | 0.893379i | \(-0.648328\pi\) |
−0.515581 | + | 0.856841i | \(0.672424\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −25.7962 | + | 28.3604i | −1.17620 | + | 1.29312i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 50.0860 | + | 40.6112i | 2.27899 | + | 1.84787i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.149032 | − | 0.111764i | −0.00676718 | − | 0.00507493i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.5514 | + | 3.36189i | −0.795331 | + | 0.152342i | −0.569680 | − | 0.821866i | \(-0.692933\pi\) |
−0.225651 | + | 0.974208i | \(0.572451\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −21.3219 | − | 4.08410i | −0.964209 | − | 0.184689i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.45486 | − | 21.0893i | −0.201045 | − | 0.951746i | −0.955408 | − | 0.295289i | \(-0.904584\pi\) |
0.754363 | − | 0.656458i | \(-0.227946\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −36.9590 | + | 11.5464i | −1.66455 | + | 0.520025i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.0383320 | + | 0.0362152i | −0.00172290 | + | 0.00162775i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 10.2805 | − | 30.8438i | 0.461145 | − | 1.38353i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.631286 | − | 0.875843i | −0.0282602 | − | 0.0392081i | 0.796869 | − | 0.604152i | \(-0.206488\pi\) |
−0.825129 | + | 0.564944i | \(0.808898\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −12.8165 | + | 14.5929i | −0.572599 | + | 0.651960i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 3.49432 | + | 4.84801i | 0.155804 | + | 0.216162i | 0.881906 | − | 0.471425i | \(-0.156260\pi\) |
−0.726102 | + | 0.687587i | \(0.758670\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.107975 | + | 0.323947i | −0.00480482 | + | 0.0144155i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −30.3990 | + | 28.7203i | −1.35007 | + | 1.27551i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 15.6984 | − | 4.90435i | 0.695819 | − | 0.217382i | 0.0702255 | − | 0.997531i | \(-0.477628\pi\) |
0.625593 | + | 0.780149i | \(0.284857\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.46614 | + | 25.8767i | 0.241808 | + | 1.14472i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.08765 | − | 0.399879i | −0.0921720 | − | 0.0176551i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.0113991 | + | 0.00218344i | −0.000502304 | + | 9.62137e-5i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.39858 | − | 1.79878i | −0.105490 | − | 0.0791102i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −20.3150 | − | 16.4720i | −0.891731 | − | 0.723042i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.28114 | + | 6.90551i | −0.275182 | + | 0.302536i | −0.861718 | − | 0.507387i | \(-0.830612\pi\) |
0.586537 | + | 0.809923i | \(0.300491\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.29876 | − | 0.162788i | −0.187972 | − | 0.00711822i | −0.0563121 | − | 0.998413i | \(-0.517934\pi\) |
−0.131660 | + | 0.991295i | \(0.542031\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 15.5298 | + | 33.3955i | 0.677777 | + | 1.45750i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 25.5864 | − | 3.90371i | 1.11456 | − | 0.170048i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 38.9638 | + | 36.8121i | 1.69408 | + | 1.60053i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.757724 | + | 0.268593i | −0.0328824 | + | 0.0116559i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.979698 | + | 51.7605i | −0.0424354 | + | 2.24200i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.0505469 | + | 0.0826606i | 0.00218534 | + | 0.00357373i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.35928 | − | 23.9155i | 0.0586572 | − | 1.03203i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −39.1669 | + | 1.48320i | −1.68704 | + | 0.0638857i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.7307 | − | 2.13609i | −0.805297 | − | 0.0918377i | −0.299062 | − | 0.954234i | \(-0.596674\pi\) |
−0.506234 | + | 0.862396i | \(0.668963\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −11.6822 | − | 35.0491i | −0.501332 | − | 1.50410i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.189025 | − | 0.284350i | −0.00809694 | − | 0.0121802i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.09273 | − | 12.3159i | −0.132235 | − | 0.526592i | −0.999583 | − | 0.0288883i | \(-0.990803\pi\) |
0.867347 | − | 0.497703i | \(-0.165823\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.37721 | + | 6.02376i | −0.144136 | + | 0.257088i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.432329 | + | 2.04664i | −0.0184178 | + | 0.0871899i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 48.2936 | + | 49.2164i | 2.05365 | + | 2.09289i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.145419 | + | 0.237807i | −0.00617270 | + | 0.0100944i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.11352 | + | 8.35614i | −0.0471812 | + | 0.354061i | 0.951711 | + | 0.306996i | \(0.0993240\pi\) |
−0.998892 | + | 0.0470645i | \(0.985013\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −34.4340 | − | 21.9623i | −1.45640 | − | 0.928907i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −19.9003 | − | 13.7790i | −0.840190 | − | 0.581749i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −14.0007 | − | 12.2587i | −0.590058 | − | 0.516644i | 0.310962 | − | 0.950422i | \(-0.399349\pi\) |
−0.901020 | + | 0.433778i | \(0.857180\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.493696 | − | 0.341836i | 0.0207699 | − | 0.0143811i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.88410 | + | 30.3878i | 0.121121 | + | 1.27617i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.90253 | + | 16.4437i | −0.289369 | + | 0.689355i | −0.999898 | − | 0.0143130i | \(-0.995444\pi\) |
0.710529 | + | 0.703668i | \(0.248456\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.5611 | − | 2.44057i | −0.441970 | − | 0.102135i | −0.00169653 | − | 0.999999i | \(-0.500540\pi\) |
−0.440273 | + | 0.897864i | \(0.645118\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −19.5177 | + | 12.4486i | −0.815362 | + | 0.520046i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 15.3959 | + | 40.9550i | 0.642055 | + | 1.70794i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.95813 | − | 10.2036i | −0.331301 | − | 0.424782i | 0.593735 | − | 0.804660i | \(-0.297653\pi\) |
−0.925037 | + | 0.379878i | \(0.875966\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.15096 | − | 3.94489i | −0.0478321 | − | 0.163944i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.52890 | + | 4.51066i | 0.104916 | + | 0.187134i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −10.1482 | − | 5.43975i | −0.420294 | − | 0.225292i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.0856035 | − | 0.118766i | 0.00353927 | − | 0.00491036i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 26.0538 | − | 15.2621i | 1.07536 | − | 0.629935i | 0.142358 | − | 0.989815i | \(-0.454532\pi\) |
0.932999 | + | 0.359880i | \(0.117182\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.492017 | − | 1.30882i | 0.0202732 | − | 0.0539292i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 11.0480 | + | 21.5819i | 0.454455 | + | 0.887760i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 27.5631 | − | 32.7085i | 1.13188 | − | 1.34318i | 0.200261 | − | 0.979743i | \(-0.435821\pi\) |
0.931620 | − | 0.363435i | \(-0.118396\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.848306 | + | 0.636173i | −0.0347771 | + | 0.0260806i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 25.7586 | − | 2.93757i | 1.05423 | − | 0.120227i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.28873 | + | 9.11424i | −0.0935149 | + | 0.372398i | −0.998604 | − | 0.0528245i | \(-0.983178\pi\) |
0.905089 | + | 0.425222i | \(0.139804\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.8167 | + | 6.55209i | −0.604388 | + | 0.267265i | −0.683908 | − | 0.729568i | \(-0.739721\pi\) |
0.0795207 | + | 0.996833i | \(0.474661\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.76570 | − | 3.86417i | 0.194074 | − | 0.157361i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.0298815 | − | 0.173736i | 0.00121485 | − | 0.00706336i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.9247 | + | 15.2099i | −0.605776 | + | 0.617350i | −0.946457 | − | 0.322829i | \(-0.895366\pi\) |
0.340682 | + | 0.940179i | \(0.389342\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 40.6496 | − | 3.08311i | 1.64721 | − | 0.124934i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.47954 | + | 3.65191i | 0.302590 | + | 0.147740i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.301107 | + | 0.161403i | −0.0121616 | + | 0.00651902i | −0.478509 | − | 0.878083i | \(-0.658823\pi\) |
0.466348 | + | 0.884602i | \(0.345570\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.0638034 | + | 0.370964i | 0.00257280 | + | 0.0149587i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.13791 | + | 37.6148i | 0.0860689 | + | 1.51431i | 0.693798 | + | 0.720170i | \(0.255936\pi\) |
−0.607729 | + | 0.794145i | \(0.707919\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.5913 | − | 14.9418i | −0.506086 | − | 0.600561i | 0.450224 | − | 0.892916i | \(-0.351344\pi\) |
−0.956310 | + | 0.292355i | \(0.905561\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.931301 | + | 49.2035i | 0.0373718 | + | 1.97447i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −6.17997 | − | 0.942876i | −0.247595 | − | 0.0377755i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.36077 | + | 24.8739i | −0.0944310 | + | 0.994956i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.17505 | + | 0.573720i | −0.0469268 | + | 0.0229122i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 39.5735 | + | 14.0277i | 1.57790 | + | 0.559323i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −36.0767 | − | 9.78878i | −1.43619 | − | 0.389685i | −0.543139 | − | 0.839643i | \(-0.682764\pi\) |
−0.893050 | + | 0.449958i | \(0.851439\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.466539 | + | 0.408493i | −0.0185432 | + | 0.0162361i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.0826116 | + | 0.0483932i | 0.00327834 | + | 0.00192043i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 106.020 | − | 24.5000i | 4.20065 | − | 0.970726i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 4.56815 | − | 1.81666i | 0.180713 | − | 0.0718660i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.36857 | + | 5.64257i | 0.0935528 | + | 0.222868i | 0.962077 | − | 0.272779i | \(-0.0879429\pi\) |
−0.868524 | + | 0.495647i | \(0.834931\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −16.6062 | − | 18.2569i | −0.654884 | − | 0.719982i | 0.318815 | − | 0.947817i | \(-0.396715\pi\) |
−0.973700 | + | 0.227835i | \(0.926835\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.275935 | − | 0.109734i | −0.0108649 | − | 0.00432076i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −3.48800 | − | 1.08969i | −0.137127 | − | 0.0428402i | 0.228864 | − | 0.973458i | \(-0.426499\pi\) |
−0.365991 | + | 0.930618i | \(0.619270\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.38188 | + | 2.07876i | −0.0542436 | + | 0.0815986i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −27.1719 | − | 2.06088i | −1.06495 | − | 0.0807722i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 6.04993 | − | 20.7361i | 0.236752 | − | 0.811466i | −0.751644 | − | 0.659569i | \(-0.770739\pi\) |
0.988396 | − | 0.151897i | \(-0.0485383\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.158060 | − | 0.308764i | 0.00617591 | − | 0.0120644i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.45947 | + | 3.15344i | −0.0959529 | + | 0.123027i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −33.5955 | + | 9.11555i | −1.30869 | + | 0.355091i | −0.846832 | − | 0.531861i | \(-0.821493\pi\) |
−0.461861 | + | 0.886952i | \(0.652818\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.82598 | − | 10.3778i | 0.187709 | − | 0.403650i | −0.790151 | − | 0.612912i | \(-0.789998\pi\) |
0.977860 | + | 0.209262i | \(0.0671062\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 61.4574 | + | 27.1770i | 2.38681 | + | 1.05547i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.00756652 | + | 0.0567813i | 0.000293417 | + | 0.00220188i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 48.4299 | 1.87521 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −22.8754 | −0.884412 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.83236 | + | 21.2548i | 0.109342 | + | 0.820534i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.0994 | − | 7.11930i | −0.620587 | − | 0.274429i | 0.0701484 | − | 0.997537i | \(-0.477653\pi\) |
−0.690735 | + | 0.723108i | \(0.742713\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −11.8524 | + | 25.4874i | −0.456198 | + | 0.981011i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2.03577 | − | 0.552370i | 0.0782409 | − | 0.0212293i | −0.222529 | − | 0.974926i | \(-0.571431\pi\) |
0.300770 | + | 0.953697i | \(0.402756\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 18.1679 | − | 23.2943i | 0.697222 | − | 0.893952i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.18124 | + | 4.26096i | −0.0835852 | + | 0.163280i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.81222 | − | 6.21138i | 0.0693428 | − | 0.237672i | −0.917921 | − | 0.396763i | \(-0.870133\pi\) |
0.987264 | + | 0.159091i | \(0.0508564\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.556553 | − | 0.0422123i | −0.0212648 | − | 0.00161285i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 4.32611 | − | 6.50775i | 0.165051 | − | 0.248286i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 30.5115 | + | 9.53214i | 1.16240 | + | 0.363146i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.0370 | − | 5.18457i | −0.495952 | − | 0.197231i | 0.108154 | − | 0.994134i | \(-0.465506\pi\) |
−0.604106 | + | 0.796904i | \(0.706470\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −5.62706 | − | 6.18641i | −0.213754 | − | 0.235002i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.199643 | − | 0.475602i | −0.00757287 | − | 0.0180406i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 52.6838 | − | 20.9513i | 1.99554 | − | 0.793588i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 8.58264 | − | 1.98336i | 0.324625 | − | 0.0750176i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.88196 | − | 5.20298i | −0.335467 | − | 0.196514i | 0.328078 | − | 0.944651i | \(-0.393599\pi\) |
−0.663545 | + | 0.748137i | \(0.730949\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.70652 | − | 1.49419i | 0.0643624 | − | 0.0563546i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.0584068 | + | 0.0158477i | 0.00219973 | + | 0.000596858i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −51.0394 | − | 18.0921i | −1.91953 | − | 0.680424i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.45861 | − | 1.20042i | 0.0923349 | − | 0.0450828i | −0.392002 | − | 0.919964i | \(-0.628217\pi\) |
0.484337 | + | 0.874881i | \(0.339061\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.985136 | + | 10.3797i | −0.0369455 | + | 0.389270i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −32.0022 | − | 4.88256i | −1.19849 | − | 0.182853i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.00860243 | − | 0.454493i | −0.000321713 | − | 0.0169971i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 9.20906 | + | 10.9282i | 0.343919 | + | 0.408120i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −1.25873 | − | 22.1463i | −0.0469425 | − | 0.825917i | −0.932452 | − | 0.361295i | \(-0.882335\pi\) |
0.885509 | − | 0.464622i | \(-0.153810\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.311985 | − | 1.81393i | −0.0116189 | − | 0.0675544i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.03321 | − | 3.23400i | 0.224378 | − | 0.120274i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 24.8570 | + | 12.1365i | 0.923164 | + | 0.450738i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 47.1428 | − | 3.57559i | 1.74843 | − | 0.132611i | 0.837838 | − | 0.545919i | \(-0.183819\pi\) |
0.910591 | + | 0.413308i | \(0.135627\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −20.9886 | + | 21.3896i | −0.777356 | + | 0.792209i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.58174 | + | 44.0815i | −0.280421 | + | 1.63041i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.3277 | + | 8.37401i | −0.381463 | + | 0.309301i | −0.801260 | − | 0.598317i | \(-0.795836\pi\) |
0.419797 | + | 0.907618i | \(0.362101\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.723577 | − | 0.319972i | 0.0266895 | − | 0.0118023i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 4.63983 | − | 18.4769i | 0.170910 | − | 0.680604i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −33.8770 | + | 3.86341i | −1.24619 | + | 0.142118i | −0.711350 | − | 0.702838i | \(-0.751916\pi\) |
−0.534837 | + | 0.844956i | \(0.679627\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.90429 | − | 2.17803i | 0.106692 | − | 0.0800118i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −26.4738 | + | 31.4159i | −0.971231 | + | 1.15254i | 0.0170441 | + | 0.999855i | \(0.494574\pi\) |
−0.988275 | + | 0.152683i | \(0.951209\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.203942 | − | 0.398393i | −0.00747185 | − | 0.0145960i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.275148 | + | 0.731927i | −0.0100672 | + | 0.0267798i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −13.2579 | + | 7.76639i | −0.484434 | + | 0.283778i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 19.5744 | − | 27.1574i | 0.714279 | − | 0.990987i | −0.285192 | − | 0.958470i | \(-0.592057\pi\) |
0.999471 | − | 0.0325169i | \(-0.0103523\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.76896 | + | 2.55632i | 0.173791 | + | 0.0931574i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.347355 | − | 0.619560i | −0.0126416 | − | 0.0225481i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 7.50326 | + | 25.7173i | 0.272711 | + | 0.934713i | 0.974885 | + | 0.222708i | \(0.0714897\pi\) |
−0.702175 | + | 0.712005i | \(0.747787\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 18.6187 | + | 23.8722i | 0.675816 | + | 0.866507i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −4.77730 | − | 12.7082i | −0.173177 | − | 0.460671i | 0.820674 | − | 0.571397i | \(-0.193598\pi\) |
−0.993851 | + | 0.110726i | \(0.964683\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 45.6523 | − | 29.1175i | 1.65272 | − | 1.05412i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.156218 | − | 0.0361003i | −0.00564807 | − | 0.00130521i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.68222 | − | 6.38977i | 0.0968493 | − | 0.230721i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.68697 | − | 38.8471i | −0.132956 | − | 1.40086i | −0.773916 | − | 0.633289i | \(-0.781705\pi\) |
0.640960 | − | 0.767574i | \(-0.278536\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −29.3172 | + | 20.2993i | −1.05583 | + | 0.731060i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.75387 | − | 7.66473i | −0.314855 | − | 0.275681i | 0.486743 | − | 0.873545i | \(-0.338185\pi\) |
−0.801597 | + | 0.597864i | \(0.796016\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.2018 | − | 10.5257i | −0.546064 | − | 0.378096i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −37.2691 | − | 23.7706i | −1.33702 | − | 0.852765i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.404582 | − | 3.03610i | 0.0144957 | − | 0.108780i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.96337 | − | 13.0227i | 0.284952 | − | 0.465988i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 21.7910 | + | 22.2073i | 0.778746 | + | 0.793625i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.0494194 | − | 0.233951i | 0.00176385 | − | 0.00835007i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.8148 | + | 37.1263i | −0.741967 | + | 1.32341i | 0.197341 | + | 0.980335i | \(0.436769\pi\) |
−0.939309 | + | 0.343074i | \(0.888532\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.946335 | − | 3.76852i | −0.0336904 | − | 0.134163i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 52.7181 | + | 79.3038i | 1.87444 | + | 2.81972i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −18.8237 | − | 56.4751i | −0.668450 | − | 2.00549i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.230922 | + | 0.0263348i | 0.00818996 | + | 0.000934000i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −47.5010 | + | 1.79880i | −1.68257 | + | 0.0637167i | −0.861708 | − | 0.507405i | \(-0.830605\pi\) |
−0.820866 | + | 0.571121i | \(0.806509\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.517269 | − | 9.10095i | 0.0182997 | − | 0.321968i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.493147 | − | 0.806454i | −0.0174245 | − | 0.0284947i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.234987 | + | 12.4151i | −0.00829251 | + | 0.438119i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.25002 | − | 0.443099i | 0.0440575 | − | 0.0156172i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 5.83528 | + | 5.51304i | 0.205412 | + | 0.194068i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 38.7101 | − | 5.90599i | 1.36097 | − | 0.207643i | 0.571084 | − | 0.820891i | \(-0.306523\pi\) |
0.789890 | + | 0.613248i | \(0.210137\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.98820 | − | 10.7267i | −0.175159 | − | 0.376664i | 0.799398 | − | 0.600802i | \(-0.205152\pi\) |
−0.974557 | + | 0.224138i | \(0.928043\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 22.0298 | + | 0.834239i | 0.772620 | + | 0.0292580i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.300446 | + | 0.330312i | −0.0105242 | + | 0.0115703i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.87692 | + | 1.52186i | 0.0656651 | + | 0.0532432i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 18.5740 | + | 13.9293i | 0.649028 | + | 0.486728i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −43.5984 | + | 8.35105i | −1.52160 | + | 0.291454i | −0.879771 | − | 0.475398i | \(-0.842304\pi\) |
−0.641824 | + | 0.766852i | \(0.721822\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 13.5014 | + | 2.58613i | 0.470631 | + | 0.0901469i | 0.417961 | − | 0.908465i | \(-0.362745\pi\) |
0.0526699 | + | 0.998612i | \(0.483227\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 3.57382 | + | 16.9184i | 0.124424 | + | 0.589024i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 5.05388 | − | 1.57889i | 0.175741 | − | 0.0549034i | −0.209061 | − | 0.977903i | \(-0.567041\pi\) |
0.384802 | + | 0.922999i | \(0.374270\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.16526 | − | 6.76957i | 0.248860 | − | 0.235117i | −0.552185 | − | 0.833722i | \(-0.686206\pi\) |
0.801045 | + | 0.598605i | \(0.204278\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.76493 | + | 20.2962i | −0.234673 | + | 0.704068i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −69.6809 | − | 96.6749i | −2.41430 | − | 3.34959i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.118539 | + | 0.381471i | 0.00410223 | + | 0.0132013i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −12.1605 | − | 16.8714i | −0.420328 | − | 0.583161i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 1.43290 | − | 4.29901i | 0.0494693 | − | 0.148418i | −0.921048 | − | 0.389448i | \(-0.872666\pi\) |
0.970518 | + | 0.241030i | \(0.0774851\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.17628 | − | 1.11132i | 0.0405612 | − | 0.0383213i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −23.3030 | + | 7.28011i | −0.802596 | + | 0.250740i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.177773 | + | 0.841577i | 0.00611558 | + | 0.0289511i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 27.4570 | + | 5.25924i | 0.943433 | + | 0.180710i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −3.72017 | + | 0.712579i | −0.127676 | + | 0.0244557i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −42.0127 | − | 31.5067i | −1.44018 | − | 1.08004i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.47540 | + | 1.19630i | 0.0505167 | + | 0.0409604i | 0.654736 | − | 0.755858i | \(-0.272780\pi\) |
−0.604219 | + | 0.796818i | \(0.706515\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.00582826 | + | 0.00640761i | −0.000199322 | + | 0.000219136i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 26.7920 | + | 1.01458i | 0.915198 | + | 0.0346573i | 0.491240 | − | 0.871024i | \(-0.336544\pi\) |
0.423958 | + | 0.905682i | \(0.360640\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −22.0705 | − | 47.4605i | −0.753035 | − | 1.61933i | −0.784733 | − | 0.619834i | \(-0.787200\pi\) |
0.0316981 | − | 0.999497i | \(-0.489909\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −59.0095 | + | 9.00306i | −2.01104 | + | 0.306824i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.06661 | + | 1.00771i | 0.0363077 | + | 0.0343027i | 0.704691 | − | 0.709514i | \(-0.251086\pi\) |
−0.668383 | + | 0.743817i | \(0.733013\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.507013 | + | 0.179723i | −0.0172389 | + | 0.00611075i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0.909194 | − | 48.0355i | 0.0308778 | − | 1.63137i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 16.8891 | + | 27.6192i | 0.572925 | + | 0.936917i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.00116 | + | 52.8031i | −0.101690 | + | 1.78916i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 4.46375 | − | 0.169036i | 0.151075 | − | 0.00572100i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.50539 | + | 0.171678i | 0.0508914 | + | 0.00580376i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.52662 | + | 4.58019i | 0.0515503 | + | 0.154662i | 0.971308 | − | 0.237824i | \(-0.0764343\pi\) |
−0.919758 | + | 0.392486i | \(0.871615\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −17.2404 | − | 25.9347i | −0.581505 | − | 0.874757i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.98691 | + | 7.91234i | 0.0669408 | + | 0.266574i | 0.994156 | − | 0.107956i | \(-0.0344306\pi\) |
−0.927215 | + | 0.374530i | \(0.877804\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −21.9357 | + | 39.1256i | −0.738196 | + | 1.31668i | 0.203119 | + | 0.979154i | \(0.434892\pi\) |
−0.941315 | + | 0.337528i | \(0.890409\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.0104137 | − | 0.0492984i | 0.000350053 | − | 0.00165715i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 11.4659 | + | 11.6850i | 0.384989 | + | 0.392345i | 0.878773 | − | 0.477240i | \(-0.158363\pi\) |
−0.493784 | + | 0.869584i | \(0.664387\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.92090 | + | 12.9532i | −0.265659 | + | 0.434438i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.89302 | + | 14.2057i | −0.0634185 | + | 0.475910i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.415192 | − | 0.264814i | −0.0138939 | − | 0.00886165i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.405058 | − | 0.280463i | −0.0135396 | − | 0.00937483i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −63.2345 | − | 55.3670i | −2.11134 | − | 1.84865i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −16.8266 | + | 11.6508i | −0.561200 | + | 0.388576i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.30775 | − | 34.8515i | −0.110197 | − | 1.16107i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 18.2269 | − | 43.4215i | 0.606554 | − | 1.44498i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.740354 | − | 0.171088i | −0.0246102 | − | 0.00568716i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −29.6504 | + | 18.9113i | −0.984525 | + | 0.627940i | −0.928829 | − | 0.370508i | \(-0.879184\pi\) |
−0.0556961 | + | 0.998448i | \(0.517738\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.88126 | − | 7.66449i | −0.0955653 | − | 0.254215i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 17.7264 | + | 22.7282i | 0.587303 | + | 0.753018i | 0.986485 | − | 0.163854i | \(-0.0523924\pi\) |
−0.399182 | + | 0.916872i | \(0.630706\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.680012 | + | 2.33073i | 0.0225051 | + | 0.0771360i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.211669 | − | 0.377543i | −0.00699756 | − | 0.0124812i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 48.4817 | + | 25.9878i | 1.60101 | + | 0.858192i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.25159 | − | 10.0608i | 0.239208 | − | 0.331876i | −0.674479 | − | 0.738294i | \(-0.735632\pi\) |
0.913687 | + | 0.406418i | \(0.133222\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.26032 | + | 4.25304i | −0.239236 | + | 0.140142i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −14.9119 | + | 39.6673i | −0.490830 | + | 1.30566i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.6677 | − | 26.6994i | −0.449392 | − | 0.877871i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.179343 | − | 0.212822i | 0.00589039 | − | 0.00699000i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −7.71084 | + | 5.78262i | −0.252984 | + | 0.189721i | −0.718912 | − | 0.695102i | \(-0.755359\pi\) |
0.465927 | + | 0.884823i | \(0.345721\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.39645 | + | 0.729465i | −0.209635 | + | 0.0239073i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.86806 | + | 15.4035i | −0.126635 | + | 0.504288i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.455308 | + | 0.201341i | −0.0148902 | + | 0.00658455i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 32.0704 | − | 26.0036i | 1.04769 | − | 0.849501i | 0.0588224 | − | 0.998268i | \(-0.481265\pi\) |
0.988872 | + | 0.148767i | \(0.0475305\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.31730 | + | 7.65903i | −0.0429886 | + | 0.249943i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −12.4841 | + | 12.7226i | −0.406970 | + | 0.414745i | −0.886463 | − | 0.462800i | \(-0.846845\pi\) |
0.479493 | + | 0.877546i | \(0.340821\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −70.7106 | + | 5.36312i | −2.30266 | + | 0.174647i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.765627 | + | 0.373820i | 0.0249059 | + | 0.0121604i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12.6536 | − | 6.78273i | 0.411186 | − | 0.220409i | −0.253813 | − | 0.967253i | \(-0.581685\pi\) |
0.664999 | + | 0.746844i | \(0.268432\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.84336 | − | 33.9743i | −0.189684 | − | 1.10285i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.24662 | + | 39.5275i | 0.0728517 | + | 1.28177i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.4123 | + | 13.5428i | 0.369682 | + | 0.438693i | 0.917398 | − | 0.397971i | \(-0.130286\pi\) |
−0.547716 | + | 0.836665i | \(0.684502\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.00901039 | + | 0.476047i | 0.000291569 | + | 0.0154045i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 18.9211 | + | 2.88678i | 0.611631 | + | 0.0933163i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 8.36321 | − | 88.1175i | 0.270062 | − | 2.84546i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.5633 | + | 7.59885i | −0.502043 | + | 0.245124i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.18986 | − | 0.776246i | −0.0705671 | − | 0.0250142i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.0815703 | − | 0.0221327i | −0.00262584 | − | 0.000712477i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.48537 | + | 4.80289i | −0.176398 | + | 0.154451i | −0.742409 | − | 0.669947i | \(-0.766317\pi\) |
0.566012 | + | 0.824397i | \(0.308486\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.43050 | − | 2.00956i | −0.110203 | − | 0.0645563i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 25.4995 | − | 5.89267i | 0.818318 | − | 0.189105i | 0.204819 | − | 0.978800i | \(-0.434340\pi\) |
0.613500 | + | 0.789695i | \(0.289761\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 76.0082 | − | 30.2270i | 2.43671 | − | 0.969032i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −18.5806 | − | 44.2640i | −0.595055 | − | 1.41758i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.59886 | − | 1.75779i | −0.0511521 | − | 0.0562368i | 0.713648 | − | 0.700505i | \(-0.247042\pi\) |
−0.764800 | + | 0.644268i | \(0.777162\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.72735 | − | 1.08461i | −0.0871665 | − | 0.0346644i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.81513 | + | 2.44153i | 0.249518 | + | 0.0779522i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 29.1707 | − | 43.8814i | 0.930400 | − | 1.39960i | 0.0137509 | − | 0.999905i | \(-0.495623\pi\) |
0.916649 | − | 0.399693i | \(-0.130883\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.497240 | + | 0.0377137i | 0.0158434 | + | 0.00120166i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.68801 | + | 9.21312i | −0.0855603 | + | 0.293257i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 25.4926 | − | 49.7987i | 0.810616 | − | 1.58351i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.58181 | − | 11.0033i | 0.272610 | − | 0.349531i | −0.632612 | − | 0.774469i | \(-0.718017\pi\) |
0.905223 | + | 0.424938i | \(0.139704\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −0.243766 | + | 0.0661417i | −0.00773568 | + | 0.00209894i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.224843 | − | 0.483504i | 0.00712801 | − | 0.0153281i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 9.06599 | + | 4.00906i | 0.287123 | + | 0.126968i | 0.542978 | − | 0.839747i | \(-0.317297\pi\) |
−0.255855 | + | 0.966715i | \(0.582357\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.45628 | − | 33.4412i | −0.140990 | − | 1.05803i |
(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 | 668.2.e.a.9.4 | ✓ | 1148 | |
167.130 | even | 83 | inner | 668.2.e.a.297.4 | yes | 1148 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
668.2.e.a.9.4 | ✓ | 1148 | 1.1 | even | 1 | trivial | |
668.2.e.a.297.4 | yes | 1148 | 167.130 | even | 83 | inner |