Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(769,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.769");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.k (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 769.5 | ||
Character | \(\chi\) | \(=\) | 1155.769 |
Dual form | 1155.2.k.a.769.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.43104 | −1.71901 | −0.859504 | − | 0.511130i | \(-0.829227\pi\) | ||||
−0.859504 | + | 0.511130i | \(0.829227\pi\) | |||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 3.90997 | 1.95499 | ||||||||
\(5\) | −2.21714 | + | 0.290295i | −0.991537 | + | 0.129824i | ||||
\(6\) | 2.43104 | 0.992469 | ||||||||
\(7\) | 1.43522 | + | 2.22265i | 0.542461 | + | 0.840081i | ||||
\(8\) | −4.64322 | −1.64163 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 5.38997 | − | 0.705719i | 1.70446 | − | 0.223168i | ||||
\(11\) | −1.89585 | + | 2.72135i | −0.571620 | + | 0.820518i | ||||
\(12\) | −3.90997 | −1.12871 | ||||||||
\(13\) | 2.23538i | 0.619984i | 0.950739 | + | 0.309992i | \(0.100326\pi\) | ||||
−0.950739 | + | 0.309992i | \(0.899674\pi\) | |||||||
\(14\) | −3.48907 | − | 5.40335i | −0.932494 | − | 1.44411i | ||||
\(15\) | 2.21714 | − | 0.290295i | 0.572464 | − | 0.0749537i | ||||
\(16\) | 3.46794 | 0.866984 | ||||||||
\(17\) | 4.51862i | 1.09593i | 0.836502 | + | 0.547963i | \(0.184597\pi\) | ||||
−0.836502 | + | 0.547963i | \(0.815403\pi\) | |||||||
\(18\) | −2.43104 | −0.573002 | ||||||||
\(19\) | −0.900450 | −0.206577 | −0.103289 | − | 0.994651i | \(-0.532937\pi\) | ||||
−0.103289 | + | 0.994651i | \(0.532937\pi\) | |||||||
\(20\) | −8.66897 | + | 1.13504i | −1.93844 | + | 0.253803i | ||||
\(21\) | −1.43522 | − | 2.22265i | −0.313190 | − | 0.485021i | ||||
\(22\) | 4.60889 | − | 6.61572i | 0.982619 | − | 1.41048i | ||||
\(23\) | − | 2.09062i | − | 0.435924i | −0.975957 | − | 0.217962i | \(-0.930059\pi\) | ||
0.975957 | − | 0.217962i | \(-0.0699409\pi\) | |||||||
\(24\) | 4.64322 | 0.947794 | ||||||||
\(25\) | 4.83146 | − | 1.28725i | 0.966292 | − | 0.257450i | ||||
\(26\) | − | 5.43431i | − | 1.06576i | ||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 5.61165 | + | 8.69048i | 1.06050 | + | 1.64235i | ||||
\(29\) | 3.99148i | 0.741199i | 0.928793 | + | 0.370600i | \(0.120848\pi\) | ||||
−0.928793 | + | 0.370600i | \(0.879152\pi\) | |||||||
\(30\) | −5.38997 | + | 0.705719i | −0.984070 | + | 0.128846i | ||||
\(31\) | 8.71349i | 1.56499i | 0.622657 | + | 0.782495i | \(0.286053\pi\) | ||||
−0.622657 | + | 0.782495i | \(0.713947\pi\) | |||||||
\(32\) | 0.855744 | 0.151276 | ||||||||
\(33\) | 1.89585 | − | 2.72135i | 0.330025 | − | 0.473727i | ||||
\(34\) | − | 10.9850i | − | 1.88391i | ||||||
\(35\) | −3.82730 | − | 4.51129i | −0.646932 | − | 0.762548i | ||||
\(36\) | 3.90997 | 0.651662 | ||||||||
\(37\) | − | 7.32857i | − | 1.20481i | −0.798191 | − | 0.602405i | \(-0.794209\pi\) | ||
0.798191 | − | 0.602405i | \(-0.205791\pi\) | |||||||
\(38\) | 2.18903 | 0.355108 | ||||||||
\(39\) | − | 2.23538i | − | 0.357948i | ||||||
\(40\) | 10.2947 | − | 1.34790i | 1.62773 | − | 0.213122i | ||||
\(41\) | 0.222345 | 0.0347244 | 0.0173622 | − | 0.999849i | \(-0.494473\pi\) | ||||
0.0173622 | + | 0.999849i | \(0.494473\pi\) | |||||||
\(42\) | 3.48907 | + | 5.40335i | 0.538375 | + | 0.833755i | ||||
\(43\) | 4.66125 | 0.710833 | 0.355417 | − | 0.934708i | \(-0.384339\pi\) | ||||
0.355417 | + | 0.934708i | \(0.384339\pi\) | |||||||
\(44\) | −7.41272 | + | 10.6404i | −1.11751 | + | 1.60410i | ||||
\(45\) | −2.21714 | + | 0.290295i | −0.330512 | + | 0.0432746i | ||||
\(46\) | 5.08239i | 0.749357i | ||||||||
\(47\) | 6.60502 | 0.963441 | 0.481721 | − | 0.876325i | \(-0.340012\pi\) | ||||
0.481721 | + | 0.876325i | \(0.340012\pi\) | |||||||
\(48\) | −3.46794 | −0.500554 | ||||||||
\(49\) | −2.88031 | + | 6.37995i | −0.411473 | + | 0.911422i | ||||
\(50\) | −11.7455 | + | 3.12936i | −1.66106 | + | 0.442558i | ||||
\(51\) | − | 4.51862i | − | 0.632734i | ||||||
\(52\) | 8.74028i | 1.21206i | ||||||||
\(53\) | 3.38806i | 0.465386i | 0.972550 | + | 0.232693i | \(0.0747537\pi\) | ||||
−0.972550 | + | 0.232693i | \(0.925246\pi\) | |||||||
\(54\) | 2.43104 | 0.330823 | ||||||||
\(55\) | 3.41338 | − | 6.58398i | 0.460260 | − | 0.887784i | ||||
\(56\) | −6.66403 | − | 10.3202i | −0.890518 | − | 1.37910i | ||||
\(57\) | 0.900450 | 0.119268 | ||||||||
\(58\) | − | 9.70346i | − | 1.27413i | ||||||
\(59\) | − | 8.40349i | − | 1.09404i | −0.837119 | − | 0.547020i | \(-0.815762\pi\) | ||
0.837119 | − | 0.547020i | \(-0.184238\pi\) | |||||||
\(60\) | 8.66897 | − | 1.13504i | 1.11916 | − | 0.146533i | ||||
\(61\) | −2.18474 | −0.279727 | −0.139863 | − | 0.990171i | \(-0.544666\pi\) | ||||
−0.139863 | + | 0.990171i | \(0.544666\pi\) | |||||||
\(62\) | − | 21.1829i | − | 2.69023i | ||||||
\(63\) | 1.43522 | + | 2.22265i | 0.180820 | + | 0.280027i | ||||
\(64\) | −9.01623 | −1.12703 | ||||||||
\(65\) | −0.648919 | − | 4.95617i | −0.0804885 | − | 0.614737i | ||||
\(66\) | −4.60889 | + | 6.61572i | −0.567315 | + | 0.814339i | ||||
\(67\) | 11.5990i | 1.41704i | 0.705690 | + | 0.708521i | \(0.250637\pi\) | ||||
−0.705690 | + | 0.708521i | \(0.749363\pi\) | |||||||
\(68\) | 17.6677i | 2.14252i | ||||||||
\(69\) | 2.09062i | 0.251681i | ||||||||
\(70\) | 9.30434 | + | 10.9671i | 1.11208 | + | 1.31082i | ||||
\(71\) | 2.71126 | 0.321767 | 0.160884 | − | 0.986973i | \(-0.448566\pi\) | ||||
0.160884 | + | 0.986973i | \(0.448566\pi\) | |||||||
\(72\) | −4.64322 | −0.547209 | ||||||||
\(73\) | − | 4.36305i | − | 0.510656i | −0.966854 | − | 0.255328i | \(-0.917816\pi\) | ||
0.966854 | − | 0.255328i | \(-0.0821835\pi\) | |||||||
\(74\) | 17.8161i | 2.07108i | ||||||||
\(75\) | −4.83146 | + | 1.28725i | −0.557889 | + | 0.148639i | ||||
\(76\) | −3.52073 | −0.403856 | ||||||||
\(77\) | −8.76955 | − | 0.308074i | −0.999384 | − | 0.0351083i | ||||
\(78\) | 5.43431i | 0.615315i | ||||||||
\(79\) | − | 4.44023i | − | 0.499565i | −0.968302 | − | 0.249783i | \(-0.919641\pi\) | ||
0.968302 | − | 0.249783i | \(-0.0803592\pi\) | |||||||
\(80\) | −7.68892 | + | 1.00672i | −0.859647 | + | 0.112555i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −0.540529 | −0.0596915 | ||||||||
\(83\) | 7.79488i | 0.855599i | 0.903874 | + | 0.427800i | \(0.140711\pi\) | ||||
−0.903874 | + | 0.427800i | \(0.859289\pi\) | |||||||
\(84\) | −5.61165 | − | 8.69048i | −0.612282 | − | 0.948210i | ||||
\(85\) | −1.31173 | − | 10.0184i | −0.142277 | − | 1.08665i | ||||
\(86\) | −11.3317 | −1.22193 | ||||||||
\(87\) | − | 3.99148i | − | 0.427932i | ||||||
\(88\) | 8.80285 | − | 12.6358i | 0.938387 | − | 1.34699i | ||||
\(89\) | − | 1.90097i | − | 0.201502i | −0.994912 | − | 0.100751i | \(-0.967875\pi\) | ||
0.994912 | − | 0.100751i | \(-0.0321246\pi\) | |||||||
\(90\) | 5.38997 | − | 0.705719i | 0.568153 | − | 0.0743893i | ||||
\(91\) | −4.96846 | + | 3.20826i | −0.520837 | + | 0.336317i | ||||
\(92\) | − | 8.17426i | − | 0.852226i | ||||||
\(93\) | − | 8.71349i | − | 0.903547i | ||||||
\(94\) | −16.0571 | −1.65616 | ||||||||
\(95\) | 1.99643 | − | 0.261396i | 0.204829 | − | 0.0268186i | ||||
\(96\) | −0.855744 | −0.0873390 | ||||||||
\(97\) | −12.7447 | −1.29403 | −0.647014 | − | 0.762478i | \(-0.723983\pi\) | ||||
−0.647014 | + | 0.762478i | \(0.723983\pi\) | |||||||
\(98\) | 7.00216 | − | 15.5099i | 0.707325 | − | 1.56674i | ||||
\(99\) | −1.89585 | + | 2.72135i | −0.190540 | + | 0.273506i | ||||
\(100\) | 18.8909 | − | 5.03311i | 1.88909 | − | 0.503311i | ||||
\(101\) | −0.859985 | −0.0855717 | −0.0427858 | − | 0.999084i | \(-0.513623\pi\) | ||||
−0.0427858 | + | 0.999084i | \(0.513623\pi\) | |||||||
\(102\) | 10.9850i | 1.08767i | ||||||||
\(103\) | 1.85324 | 0.182605 | 0.0913026 | − | 0.995823i | \(-0.470897\pi\) | ||||
0.0913026 | + | 0.995823i | \(0.470897\pi\) | |||||||
\(104\) | − | 10.3794i | − | 1.01778i | ||||||
\(105\) | 3.82730 | + | 4.51129i | 0.373506 | + | 0.440257i | ||||
\(106\) | − | 8.23652i | − | 0.800001i | ||||||
\(107\) | −9.90730 | −0.957775 | −0.478887 | − | 0.877876i | \(-0.658960\pi\) | ||||
−0.478887 | + | 0.877876i | \(0.658960\pi\) | |||||||
\(108\) | −3.90997 | −0.376237 | ||||||||
\(109\) | 9.26520i | 0.887445i | 0.896164 | + | 0.443723i | \(0.146342\pi\) | ||||
−0.896164 | + | 0.443723i | \(0.853658\pi\) | |||||||
\(110\) | −8.29807 | + | 16.0060i | −0.791190 | + | 1.52611i | ||||
\(111\) | 7.32857i | 0.695597i | ||||||||
\(112\) | 4.97724 | + | 7.70800i | 0.470305 | + | 0.728337i | ||||
\(113\) | − | 17.4516i | − | 1.64171i | −0.571137 | − | 0.820855i | \(-0.693497\pi\) | ||
0.571137 | − | 0.820855i | \(-0.306503\pi\) | |||||||
\(114\) | −2.18903 | −0.205022 | ||||||||
\(115\) | 0.606895 | + | 4.63521i | 0.0565933 | + | 0.432235i | ||||
\(116\) | 15.6066i | 1.44903i | ||||||||
\(117\) | 2.23538i | 0.206661i | ||||||||
\(118\) | 20.4292i | 1.88066i | ||||||||
\(119\) | −10.0433 | + | 6.48520i | −0.920668 | + | 0.594497i | ||||
\(120\) | −10.2947 | + | 1.34790i | −0.939773 | + | 0.123046i | ||||
\(121\) | −3.81151 | − | 10.3185i | −0.346501 | − | 0.938050i | ||||
\(122\) | 5.31119 | 0.480853 | ||||||||
\(123\) | −0.222345 | −0.0200481 | ||||||||
\(124\) | 34.0695i | 3.05953i | ||||||||
\(125\) | −10.3384 | + | 4.25656i | −0.924691 | + | 0.380719i | ||||
\(126\) | −3.48907 | − | 5.40335i | −0.310831 | − | 0.481369i | ||||
\(127\) | −22.1655 | −1.96687 | −0.983433 | − | 0.181271i | \(-0.941979\pi\) | ||||
−0.983433 | + | 0.181271i | \(0.941979\pi\) | |||||||
\(128\) | 20.2073 | 1.78609 | ||||||||
\(129\) | −4.66125 | −0.410400 | ||||||||
\(130\) | 1.57755 | + | 12.0487i | 0.138360 | + | 1.05674i | ||||
\(131\) | −16.0202 | −1.39969 | −0.699847 | − | 0.714293i | \(-0.746748\pi\) | ||||
−0.699847 | + | 0.714293i | \(0.746748\pi\) | |||||||
\(132\) | 7.41272 | − | 10.6404i | 0.645194 | − | 0.926129i | ||||
\(133\) | −1.29234 | − | 2.00138i | −0.112060 | − | 0.173542i | ||||
\(134\) | − | 28.1976i | − | 2.43590i | ||||||
\(135\) | 2.21714 | − | 0.290295i | 0.190821 | − | 0.0249846i | ||||
\(136\) | − | 20.9810i | − | 1.79910i | ||||||
\(137\) | 14.9090i | 1.27377i | 0.770961 | + | 0.636883i | \(0.219776\pi\) | ||||
−0.770961 | + | 0.636883i | \(0.780224\pi\) | |||||||
\(138\) | − | 5.08239i | − | 0.432641i | ||||||
\(139\) | −18.2709 | −1.54972 | −0.774858 | − | 0.632135i | \(-0.782179\pi\) | ||||
−0.774858 | + | 0.632135i | \(0.782179\pi\) | |||||||
\(140\) | −14.9646 | − | 17.6390i | −1.26474 | − | 1.49077i | ||||
\(141\) | −6.60502 | −0.556243 | ||||||||
\(142\) | −6.59119 | −0.553121 | ||||||||
\(143\) | −6.08326 | − | 4.23795i | −0.508708 | − | 0.354395i | ||||
\(144\) | 3.46794 | 0.288995 | ||||||||
\(145\) | −1.15871 | − | 8.84969i | −0.0962252 | − | 0.734927i | ||||
\(146\) | 10.6068i | 0.877822i | ||||||||
\(147\) | 2.88031 | − | 6.37995i | 0.237564 | − | 0.526210i | ||||
\(148\) | − | 28.6545i | − | 2.35539i | ||||||
\(149\) | − | 8.97699i | − | 0.735424i | −0.929940 | − | 0.367712i | \(-0.880141\pi\) | ||
0.929940 | − | 0.367712i | \(-0.119859\pi\) | |||||||
\(150\) | 11.7455 | − | 3.12936i | 0.959015 | − | 0.255511i | ||||
\(151\) | − | 10.7566i | − | 0.875357i | −0.899132 | − | 0.437678i | \(-0.855801\pi\) | ||
0.899132 | − | 0.437678i | \(-0.144199\pi\) | |||||||
\(152\) | 4.18099 | 0.339123 | ||||||||
\(153\) | 4.51862i | 0.365309i | ||||||||
\(154\) | 21.3192 | + | 0.748942i | 1.71795 | + | 0.0603515i | ||||
\(155\) | −2.52948 | − | 19.3191i | −0.203173 | − | 1.55174i | ||||
\(156\) | − | 8.74028i | − | 0.699783i | ||||||
\(157\) | −19.0721 | −1.52212 | −0.761059 | − | 0.648683i | \(-0.775320\pi\) | ||||
−0.761059 | + | 0.648683i | \(0.775320\pi\) | |||||||
\(158\) | 10.7944i | 0.858756i | ||||||||
\(159\) | − | 3.38806i | − | 0.268691i | ||||||
\(160\) | −1.89731 | + | 0.248418i | −0.149995 | + | 0.0196392i | ||||
\(161\) | 4.64671 | − | 3.00049i | 0.366212 | − | 0.236472i | ||||
\(162\) | −2.43104 | −0.191001 | ||||||||
\(163\) | 3.29902i | 0.258399i | 0.991619 | + | 0.129199i | \(0.0412407\pi\) | ||||
−0.991619 | + | 0.129199i | \(0.958759\pi\) | |||||||
\(164\) | 0.869361 | 0.0678857 | ||||||||
\(165\) | −3.41338 | + | 6.58398i | −0.265731 | + | 0.512563i | ||||
\(166\) | − | 18.9497i | − | 1.47078i | ||||||
\(167\) | − | 6.00033i | − | 0.464320i | −0.972678 | − | 0.232160i | \(-0.925421\pi\) | ||
0.972678 | − | 0.232160i | \(-0.0745793\pi\) | |||||||
\(168\) | 6.66403 | + | 10.3202i | 0.514141 | + | 0.796224i | ||||
\(169\) | 8.00306 | 0.615620 | ||||||||
\(170\) | 3.18888 | + | 24.3553i | 0.244576 | + | 1.86796i | ||||
\(171\) | −0.900450 | −0.0688591 | ||||||||
\(172\) | 18.2253 | 1.38967 | ||||||||
\(173\) | 23.8329i | 1.81198i | 0.423299 | + | 0.905990i | \(0.360872\pi\) | ||||
−0.423299 | + | 0.905990i | \(0.639128\pi\) | |||||||
\(174\) | 9.70346i | 0.735618i | ||||||||
\(175\) | 9.79529 | + | 8.89114i | 0.740454 | + | 0.672107i | ||||
\(176\) | −6.57469 | + | 9.43748i | −0.495586 | + | 0.711377i | ||||
\(177\) | 8.40349i | 0.631645i | ||||||||
\(178\) | 4.62133i | 0.346384i | ||||||||
\(179\) | 11.5323 | 0.861968 | 0.430984 | − | 0.902360i | \(-0.358167\pi\) | ||||
0.430984 | + | 0.902360i | \(0.358167\pi\) | |||||||
\(180\) | −8.66897 | + | 1.13504i | −0.646147 | + | 0.0846012i | ||||
\(181\) | − | 16.7900i | − | 1.24799i | −0.781427 | − | 0.623997i | \(-0.785508\pi\) | ||
0.781427 | − | 0.623997i | \(-0.214492\pi\) | |||||||
\(182\) | 12.0786 | − | 7.79941i | 0.895322 | − | 0.578131i | ||||
\(183\) | 2.18474 | 0.161500 | ||||||||
\(184\) | 9.70722i | 0.715626i | ||||||||
\(185\) | 2.12744 | + | 16.2485i | 0.156413 | + | 1.19461i | ||||
\(186\) | 21.1829i | 1.55320i | ||||||||
\(187\) | −12.2968 | − | 8.56662i | −0.899228 | − | 0.626454i | ||||
\(188\) | 25.8254 | 1.88351 | ||||||||
\(189\) | −1.43522 | − | 2.22265i | −0.104397 | − | 0.161674i | ||||
\(190\) | −4.85340 | + | 0.635464i | −0.352103 | + | 0.0461014i | ||||
\(191\) | −8.47885 | −0.613508 | −0.306754 | − | 0.951789i | \(-0.599243\pi\) | ||||
−0.306754 | + | 0.951789i | \(0.599243\pi\) | |||||||
\(192\) | 9.01623 | 0.650690 | ||||||||
\(193\) | 16.4453 | 1.18376 | 0.591881 | − | 0.806026i | \(-0.298386\pi\) | ||||
0.591881 | + | 0.806026i | \(0.298386\pi\) | |||||||
\(194\) | 30.9829 | 2.22444 | ||||||||
\(195\) | 0.648919 | + | 4.95617i | 0.0464701 | + | 0.354918i | ||||
\(196\) | −11.2619 | + | 24.9454i | −0.804424 | + | 1.78182i | ||||
\(197\) | −14.8948 | −1.06121 | −0.530604 | − | 0.847620i | \(-0.678035\pi\) | ||||
−0.530604 | + | 0.847620i | \(0.678035\pi\) | |||||||
\(198\) | 4.60889 | − | 6.61572i | 0.327540 | − | 0.470159i | ||||
\(199\) | − | 15.3446i | − | 1.08775i | −0.839166 | − | 0.543875i | \(-0.816957\pi\) | ||
0.839166 | − | 0.543875i | \(-0.183043\pi\) | |||||||
\(200\) | −22.4335 | + | 5.97699i | −1.58629 | + | 0.422637i | ||||
\(201\) | − | 11.5990i | − | 0.818129i | ||||||
\(202\) | 2.09066 | 0.147098 | ||||||||
\(203\) | −8.87165 | + | 5.72864i | −0.622668 | + | 0.402071i | ||||
\(204\) | − | 17.6677i | − | 1.23699i | ||||||
\(205\) | −0.492970 | + | 0.0645454i | −0.0344305 | + | 0.00450805i | ||||
\(206\) | −4.50531 | −0.313900 | ||||||||
\(207\) | − | 2.09062i | − | 0.145308i | ||||||
\(208\) | 7.75217i | 0.537516i | ||||||||
\(209\) | 1.70712 | − | 2.45044i | 0.118084 | − | 0.169501i | ||||
\(210\) | −9.30434 | − | 10.9671i | −0.642060 | − | 0.756805i | ||||
\(211\) | 26.7512i | 1.84163i | 0.390005 | + | 0.920813i | \(0.372473\pi\) | ||||
−0.390005 | + | 0.920813i | \(0.627527\pi\) | |||||||
\(212\) | 13.2472i | 0.909822i | ||||||||
\(213\) | −2.71126 | −0.185773 | ||||||||
\(214\) | 24.0851 | 1.64642 | ||||||||
\(215\) | −10.3347 | + | 1.35313i | −0.704818 | + | 0.0922830i | ||||
\(216\) | 4.64322 | 0.315931 | ||||||||
\(217\) | −19.3670 | + | 12.5057i | −1.31472 | + | 0.848945i | ||||
\(218\) | − | 22.5241i | − | 1.52553i | ||||||
\(219\) | 4.36305i | 0.294828i | ||||||||
\(220\) | 13.3462 | − | 25.7432i | 0.899801 | − | 1.73561i | ||||
\(221\) | −10.1008 | −0.679457 | ||||||||
\(222\) | − | 17.8161i | − | 1.19574i | ||||||
\(223\) | 26.8433 | 1.79756 | 0.898779 | − | 0.438402i | \(-0.144455\pi\) | ||||
0.898779 | + | 0.438402i | \(0.144455\pi\) | |||||||
\(224\) | 1.22818 | + | 1.90202i | 0.0820610 | + | 0.127084i | ||||
\(225\) | 4.83146 | − | 1.28725i | 0.322097 | − | 0.0858167i | ||||
\(226\) | 42.4256i | 2.82211i | ||||||||
\(227\) | − | 3.82354i | − | 0.253777i | −0.991917 | − | 0.126889i | \(-0.959501\pi\) | ||
0.991917 | − | 0.126889i | \(-0.0404991\pi\) | |||||||
\(228\) | 3.52073 | 0.233166 | ||||||||
\(229\) | 6.29821i | 0.416197i | 0.978108 | + | 0.208099i | \(0.0667275\pi\) | ||||
−0.978108 | + | 0.208099i | \(0.933273\pi\) | |||||||
\(230\) | −1.47539 | − | 11.2684i | −0.0972843 | − | 0.743015i | ||||
\(231\) | 8.76955 | + | 0.308074i | 0.576994 | + | 0.0202698i | ||||
\(232\) | − | 18.5333i | − | 1.21677i | ||||||
\(233\) | 0.623619 | 0.0408546 | 0.0204273 | − | 0.999791i | \(-0.493497\pi\) | ||||
0.0204273 | + | 0.999791i | \(0.493497\pi\) | |||||||
\(234\) | − | 5.43431i | − | 0.355252i | ||||||
\(235\) | −14.6443 | + | 1.91740i | −0.955288 | + | 0.125077i | ||||
\(236\) | − | 32.8574i | − | 2.13883i | ||||||
\(237\) | 4.44023i | 0.288424i | ||||||||
\(238\) | 24.4157 | − | 15.7658i | 1.58263 | − | 1.02194i | ||||
\(239\) | 13.6468i | 0.882738i | 0.897326 | + | 0.441369i | \(0.145507\pi\) | ||||
−0.897326 | + | 0.441369i | \(0.854493\pi\) | |||||||
\(240\) | 7.68892 | − | 1.00672i | 0.496317 | − | 0.0649837i | ||||
\(241\) | 2.04549 | 0.131761 | 0.0658807 | − | 0.997828i | \(-0.479014\pi\) | ||||
0.0658807 | + | 0.997828i | \(0.479014\pi\) | |||||||
\(242\) | 9.26595 | + | 25.0848i | 0.595638 | + | 1.61251i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −8.54226 | −0.546862 | ||||||||
\(245\) | 4.53400 | − | 14.9814i | 0.289667 | − | 0.957128i | ||||
\(246\) | 0.540529 | 0.0344629 | ||||||||
\(247\) | − | 2.01285i | − | 0.128075i | ||||||
\(248\) | − | 40.4587i | − | 2.56913i | ||||||
\(249\) | − | 7.79488i | − | 0.493981i | ||||||
\(250\) | 25.1330 | − | 10.3479i | 1.58955 | − | 0.654458i | ||||
\(251\) | 15.4429i | 0.974748i | 0.873193 | + | 0.487374i | \(0.162045\pi\) | ||||
−0.873193 | + | 0.487374i | \(0.837955\pi\) | |||||||
\(252\) | 5.61165 | + | 8.69048i | 0.353501 | + | 0.547449i | ||||
\(253\) | 5.68931 | + | 3.96350i | 0.357684 | + | 0.249183i | ||||
\(254\) | 53.8852 | 3.38106 | ||||||||
\(255\) | 1.31173 | + | 10.0184i | 0.0821438 | + | 0.627379i | ||||
\(256\) | −31.0925 | −1.94328 | ||||||||
\(257\) | 12.2672 | 0.765206 | 0.382603 | − | 0.923913i | \(-0.375028\pi\) | ||||
0.382603 | + | 0.923913i | \(0.375028\pi\) | |||||||
\(258\) | 11.3317 | 0.705480 | ||||||||
\(259\) | 16.2888 | − | 10.5181i | 1.01214 | − | 0.653562i | ||||
\(260\) | −2.53726 | − | 19.3785i | −0.157354 | − | 1.20180i | ||||
\(261\) | 3.99148i | 0.247066i | ||||||||
\(262\) | 38.9459 | 2.40608 | ||||||||
\(263\) | 29.9141 | 1.84458 | 0.922290 | − | 0.386499i | \(-0.126316\pi\) | ||||
0.922290 | + | 0.386499i | \(0.126316\pi\) | |||||||
\(264\) | −8.80285 | + | 12.6358i | −0.541778 | + | 0.777683i | ||||
\(265\) | −0.983535 | − | 7.51182i | −0.0604181 | − | 0.461447i | ||||
\(266\) | 3.14174 | + | 4.86545i | 0.192632 | + | 0.298320i | ||||
\(267\) | 1.90097i | 0.116337i | ||||||||
\(268\) | 45.3517i | 2.77030i | ||||||||
\(269\) | − | 24.3142i | − | 1.48247i | −0.671248 | − | 0.741233i | \(-0.734241\pi\) | ||
0.671248 | − | 0.741233i | \(-0.265759\pi\) | |||||||
\(270\) | −5.38997 | + | 0.705719i | −0.328023 | + | 0.0429487i | ||||
\(271\) | 5.68827 | 0.345538 | 0.172769 | − | 0.984962i | \(-0.444729\pi\) | ||||
0.172769 | + | 0.984962i | \(0.444729\pi\) | |||||||
\(272\) | 15.6703i | 0.950151i | ||||||||
\(273\) | 4.96846 | − | 3.20826i | 0.300705 | − | 0.194173i | ||||
\(274\) | − | 36.2445i | − | 2.18961i | ||||||
\(275\) | −5.65666 | + | 15.5885i | −0.341109 | + | 0.940024i | ||||
\(276\) | 8.17426i | 0.492033i | ||||||||
\(277\) | −17.3410 | −1.04192 | −0.520961 | − | 0.853580i | \(-0.674426\pi\) | ||||
−0.520961 | + | 0.853580i | \(0.674426\pi\) | |||||||
\(278\) | 44.4173 | 2.66397 | ||||||||
\(279\) | 8.71349i | 0.521663i | ||||||||
\(280\) | 17.7710 | + | 20.9469i | 1.06202 | + | 1.25182i | ||||
\(281\) | − | 8.03999i | − | 0.479625i | −0.970819 | − | 0.239813i | \(-0.922914\pi\) | ||
0.970819 | − | 0.239813i | \(-0.0770860\pi\) | |||||||
\(282\) | 16.0571 | 0.956186 | ||||||||
\(283\) | − | 21.8263i | − | 1.29744i | −0.761028 | − | 0.648718i | \(-0.775305\pi\) | ||
0.761028 | − | 0.648718i | \(-0.224695\pi\) | |||||||
\(284\) | 10.6010 | 0.629051 | ||||||||
\(285\) | −1.99643 | + | 0.261396i | −0.118258 | + | 0.0154837i | ||||
\(286\) | 14.7887 | + | 10.3026i | 0.874473 | + | 0.609208i | ||||
\(287\) | 0.319112 | + | 0.494193i | 0.0188366 | + | 0.0291713i | ||||
\(288\) | 0.855744 | 0.0504252 | ||||||||
\(289\) | −3.41794 | −0.201055 | ||||||||
\(290\) | 2.81686 | + | 21.5140i | 0.165412 | + | 1.26334i | ||||
\(291\) | 12.7447 | 0.747108 | ||||||||
\(292\) | − | 17.0594i | − | 0.998326i | ||||||
\(293\) | 6.81797i | 0.398310i | 0.979968 | + | 0.199155i | \(0.0638198\pi\) | ||||
−0.979968 | + | 0.199155i | \(0.936180\pi\) | |||||||
\(294\) | −7.00216 | + | 15.5099i | −0.408374 | + | 0.904558i | ||||
\(295\) | 2.43949 | + | 18.6317i | 0.142032 | + | 1.08478i | ||||
\(296\) | 34.0282i | 1.97785i | ||||||||
\(297\) | 1.89585 | − | 2.72135i | 0.110008 | − | 0.157909i | ||||
\(298\) | 21.8234i | 1.26420i | ||||||||
\(299\) | 4.67333 | 0.270266 | ||||||||
\(300\) | −18.8909 | + | 5.03311i | −1.09066 | + | 0.290587i | ||||
\(301\) | 6.68989 | + | 10.3603i | 0.385599 | + | 0.597158i | ||||
\(302\) | 26.1497i | 1.50474i | ||||||||
\(303\) | 0.859985 | 0.0494048 | ||||||||
\(304\) | −3.12270 | −0.179099 | ||||||||
\(305\) | 4.84388 | − | 0.634217i | 0.277360 | − | 0.0363152i | ||||
\(306\) | − | 10.9850i | − | 0.627969i | ||||||
\(307\) | − | 18.2117i | − | 1.03940i | −0.854349 | − | 0.519699i | \(-0.826044\pi\) | ||
0.854349 | − | 0.519699i | \(-0.173956\pi\) | |||||||
\(308\) | −34.2887 | − | 1.20456i | −1.95378 | − | 0.0686363i | ||||
\(309\) | −1.85324 | −0.105427 | ||||||||
\(310\) | 6.14927 | + | 46.9655i | 0.349255 | + | 2.66746i | ||||
\(311\) | 3.37193i | 0.191205i | 0.995420 | + | 0.0956024i | \(0.0304777\pi\) | ||||
−0.995420 | + | 0.0956024i | \(0.969522\pi\) | |||||||
\(312\) | 10.3794i | 0.587617i | ||||||||
\(313\) | −2.14358 | −0.121163 | −0.0605813 | − | 0.998163i | \(-0.519295\pi\) | ||||
−0.0605813 | + | 0.998163i | \(0.519295\pi\) | |||||||
\(314\) | 46.3651 | 2.61653 | ||||||||
\(315\) | −3.82730 | − | 4.51129i | −0.215644 | − | 0.254183i | ||||
\(316\) | − | 17.3612i | − | 0.976643i | ||||||
\(317\) | − | 27.5818i | − | 1.54915i | −0.632484 | − | 0.774574i | \(-0.717964\pi\) | ||
0.632484 | − | 0.774574i | \(-0.282036\pi\) | |||||||
\(318\) | 8.23652i | 0.461881i | ||||||||
\(319\) | −10.8622 | − | 7.56725i | −0.608168 | − | 0.423684i | ||||
\(320\) | 19.9903 | − | 2.61736i | 1.11749 | − | 0.146315i | ||||
\(321\) | 9.90730 | 0.552972 | ||||||||
\(322\) | −11.2963 | + | 7.29432i | −0.629521 | + | 0.406497i | ||||
\(323\) | − | 4.06879i | − | 0.226394i | ||||||
\(324\) | 3.90997 | 0.217221 | ||||||||
\(325\) | 2.87750 | + | 10.8002i | 0.159615 | + | 0.599085i | ||||
\(326\) | − | 8.02005i | − | 0.444190i | ||||||
\(327\) | − | 9.26520i | − | 0.512367i | ||||||
\(328\) | −1.03240 | −0.0570045 | ||||||||
\(329\) | 9.47963 | + | 14.6806i | 0.522629 | + | 0.809369i | ||||
\(330\) | 8.29807 | − | 16.0060i | 0.456794 | − | 0.881099i | ||||
\(331\) | 34.7927 | 1.91238 | 0.956190 | − | 0.292746i | \(-0.0945692\pi\) | ||||
0.956190 | + | 0.292746i | \(0.0945692\pi\) | |||||||
\(332\) | 30.4778i | 1.67268i | ||||||||
\(333\) | − | 7.32857i | − | 0.401603i | ||||||
\(334\) | 14.5871i | 0.798169i | ||||||||
\(335\) | −3.36712 | − | 25.7166i | −0.183966 | − | 1.40505i | ||||
\(336\) | −4.97724 | − | 7.70800i | −0.271531 | − | 0.420506i | ||||
\(337\) | −22.2249 | −1.21067 | −0.605335 | − | 0.795971i | \(-0.706961\pi\) | ||||
−0.605335 | + | 0.795971i | \(0.706961\pi\) | |||||||
\(338\) | −19.4558 | −1.05826 | ||||||||
\(339\) | 17.4516i | 0.947842i | ||||||||
\(340\) | −5.12883 | − | 39.1718i | −0.278150 | − | 2.12439i | ||||
\(341\) | −23.7125 | − | 16.5195i | −1.28410 | − | 0.894579i | ||||
\(342\) | 2.18903 | 0.118369 | ||||||||
\(343\) | −18.3142 | + | 2.75470i | −0.988876 | + | 0.148740i | ||||
\(344\) | −21.6432 | −1.16692 | ||||||||
\(345\) | −0.606895 | − | 4.63521i | −0.0326742 | − | 0.249551i | ||||
\(346\) | − | 57.9388i | − | 3.11481i | ||||||
\(347\) | 19.6744 | 1.05618 | 0.528089 | − | 0.849189i | \(-0.322909\pi\) | ||||
0.528089 | + | 0.849189i | \(0.322909\pi\) | |||||||
\(348\) | − | 15.6066i | − | 0.836600i | ||||||
\(349\) | 11.5710 | 0.619384 | 0.309692 | − | 0.950837i | \(-0.399774\pi\) | ||||
0.309692 | + | 0.950837i | \(0.399774\pi\) | |||||||
\(350\) | −23.8128 | − | 21.6147i | −1.27285 | − | 1.15536i | ||||
\(351\) | − | 2.23538i | − | 0.119316i | ||||||
\(352\) | −1.62236 | + | 2.32878i | −0.0864722 | + | 0.124124i | ||||
\(353\) | −6.04199 | −0.321582 | −0.160791 | − | 0.986988i | \(-0.551405\pi\) | ||||
−0.160791 | + | 0.986988i | \(0.551405\pi\) | |||||||
\(354\) | − | 20.4292i | − | 1.08580i | ||||||
\(355\) | −6.01126 | + | 0.787064i | −0.319044 | + | 0.0417730i | ||||
\(356\) | − | 7.43273i | − | 0.393934i | ||||||
\(357\) | 10.0433 | − | 6.48520i | 0.531548 | − | 0.343233i | ||||
\(358\) | −28.0356 | −1.48173 | ||||||||
\(359\) | 33.7239i | 1.77988i | 0.456079 | + | 0.889939i | \(0.349253\pi\) | ||||
−0.456079 | + | 0.889939i | \(0.650747\pi\) | |||||||
\(360\) | 10.2947 | − | 1.34790i | 0.542578 | − | 0.0710407i | ||||
\(361\) | −18.1892 | −0.957326 | ||||||||
\(362\) | 40.8173i | 2.14531i | ||||||||
\(363\) | 3.81151 | + | 10.3185i | 0.200053 | + | 0.541583i | ||||
\(364\) | −19.4266 | + | 12.5442i | −1.01823 | + | 0.657494i | ||||
\(365\) | 1.26657 | + | 9.67351i | 0.0662953 | + | 0.506335i | ||||
\(366\) | −5.31119 | −0.277620 | ||||||||
\(367\) | −2.50137 | −0.130570 | −0.0652852 | − | 0.997867i | \(-0.520796\pi\) | ||||
−0.0652852 | + | 0.997867i | \(0.520796\pi\) | |||||||
\(368\) | − | 7.25014i | − | 0.377940i | ||||||
\(369\) | 0.222345 | 0.0115748 | ||||||||
\(370\) | −5.17191 | − | 39.5008i | −0.268875 | − | 2.05355i | ||||
\(371\) | −7.53046 | + | 4.86259i | −0.390962 | + | 0.252453i | ||||
\(372\) | − | 34.0695i | − | 1.76642i | ||||||
\(373\) | −35.4822 | −1.83720 | −0.918599 | − | 0.395190i | \(-0.870679\pi\) | ||||
−0.918599 | + | 0.395190i | \(0.870679\pi\) | |||||||
\(374\) | 29.8940 | + | 20.8258i | 1.54578 | + | 1.07688i | ||||
\(375\) | 10.3384 | − | 4.25656i | 0.533871 | − | 0.219808i | ||||
\(376\) | −30.6686 | −1.58161 | ||||||||
\(377\) | −8.92249 | −0.459532 | ||||||||
\(378\) | 3.48907 | + | 5.40335i | 0.179458 | + | 0.277918i | ||||
\(379\) | 9.73935 | 0.500277 | 0.250138 | − | 0.968210i | \(-0.419524\pi\) | ||||
0.250138 | + | 0.968210i | \(0.419524\pi\) | |||||||
\(380\) | 7.80598 | − | 1.02205i | 0.400438 | − | 0.0524301i | ||||
\(381\) | 22.1655 | 1.13557 | ||||||||
\(382\) | 20.6125 | 1.05462 | ||||||||
\(383\) | 5.18157 | 0.264766 | 0.132383 | − | 0.991199i | \(-0.457737\pi\) | ||||
0.132383 | + | 0.991199i | \(0.457737\pi\) | |||||||
\(384\) | −20.2073 | −1.03120 | ||||||||
\(385\) | 19.5328 | − | 1.86271i | 0.995484 | − | 0.0949324i | ||||
\(386\) | −39.9793 | −2.03489 | ||||||||
\(387\) | 4.66125 | 0.236944 | ||||||||
\(388\) | −49.8314 | −2.52981 | ||||||||
\(389\) | −14.9906 | −0.760056 | −0.380028 | − | 0.924975i | \(-0.624086\pi\) | ||||
−0.380028 | + | 0.924975i | \(0.624086\pi\) | |||||||
\(390\) | −1.57755 | − | 12.0487i | −0.0798824 | − | 0.610107i | ||||
\(391\) | 9.44672 | 0.477741 | ||||||||
\(392\) | 13.3739 | − | 29.6236i | 0.675486 | − | 1.49622i | ||||
\(393\) | 16.0202 | 0.808114 | ||||||||
\(394\) | 36.2098 | 1.82423 | ||||||||
\(395\) | 1.28898 | + | 9.84464i | 0.0648554 | + | 0.495337i | ||||
\(396\) | −7.41272 | + | 10.6404i | −0.372503 | + | 0.534701i | ||||
\(397\) | −23.1431 | −1.16152 | −0.580759 | − | 0.814076i | \(-0.697244\pi\) | ||||
−0.580759 | + | 0.814076i | \(0.697244\pi\) | |||||||
\(398\) | 37.3034i | 1.86985i | ||||||||
\(399\) | 1.29234 | + | 2.00138i | 0.0646979 | + | 0.100194i | ||||
\(400\) | 16.7552 | − | 4.46410i | 0.837760 | − | 0.223205i | ||||
\(401\) | 1.67429 | 0.0836099 | 0.0418050 | − | 0.999126i | \(-0.486689\pi\) | ||||
0.0418050 | + | 0.999126i | \(0.486689\pi\) | |||||||
\(402\) | 28.1976i | 1.40637i | ||||||||
\(403\) | −19.4780 | −0.970268 | ||||||||
\(404\) | −3.36252 | −0.167291 | ||||||||
\(405\) | −2.21714 | + | 0.290295i | −0.110171 | + | 0.0144249i | ||||
\(406\) | 21.5674 | − | 13.9266i | 1.07037 | − | 0.691164i | ||||
\(407\) | 19.9436 | + | 13.8939i | 0.988569 | + | 0.688693i | ||||
\(408\) | 20.9810i | 1.03871i | ||||||||
\(409\) | −26.0758 | −1.28937 | −0.644684 | − | 0.764449i | \(-0.723011\pi\) | ||||
−0.644684 | + | 0.764449i | \(0.723011\pi\) | |||||||
\(410\) | 1.19843 | − | 0.156913i | 0.0591863 | − | 0.00774936i | ||||
\(411\) | − | 14.9090i | − | 0.735409i | ||||||
\(412\) | 7.24611 | 0.356990 | ||||||||
\(413\) | 18.6780 | − | 12.0608i | 0.919083 | − | 0.593474i | ||||
\(414\) | 5.08239i | 0.249786i | ||||||||
\(415\) | −2.26281 | − | 17.2824i | −0.111077 | − | 0.848359i | ||||
\(416\) | 1.91292i | 0.0937884i | ||||||||
\(417\) | 18.2709 | 0.894729 | ||||||||
\(418\) | −4.15008 | + | 5.95713i | −0.202987 | + | 0.291373i | ||||
\(419\) | − | 8.14345i | − | 0.397833i | −0.980016 | − | 0.198917i | \(-0.936258\pi\) | ||
0.980016 | − | 0.198917i | \(-0.0637423\pi\) | |||||||
\(420\) | 14.9646 | + | 17.6390i | 0.730200 | + | 0.860696i | ||||
\(421\) | 7.65839 | 0.373247 | 0.186624 | − | 0.982431i | \(-0.440246\pi\) | ||||
0.186624 | + | 0.982431i | \(0.440246\pi\) | |||||||
\(422\) | − | 65.0332i | − | 3.16577i | ||||||
\(423\) | 6.60502 | 0.321147 | ||||||||
\(424\) | − | 15.7315i | − | 0.763990i | ||||||
\(425\) | 5.81660 | + | 21.8315i | 0.282146 | + | 1.05898i | ||||
\(426\) | 6.59119 | 0.319344 | ||||||||
\(427\) | −3.13557 | − | 4.85590i | −0.151741 | − | 0.234993i | ||||
\(428\) | −38.7373 | −1.87244 | ||||||||
\(429\) | 6.08326 | + | 4.23795i | 0.293703 | + | 0.204610i | ||||
\(430\) | 25.1240 | − | 3.28953i | 1.21159 | − | 0.158635i | ||||
\(431\) | − | 13.8325i | − | 0.666288i | −0.942876 | − | 0.333144i | \(-0.891891\pi\) | ||
0.942876 | − | 0.333144i | \(-0.108109\pi\) | |||||||
\(432\) | −3.46794 | −0.166851 | ||||||||
\(433\) | −27.4999 | −1.32156 | −0.660780 | − | 0.750580i | \(-0.729774\pi\) | ||||
−0.660780 | + | 0.750580i | \(0.729774\pi\) | |||||||
\(434\) | 47.0820 | − | 30.4020i | 2.26001 | − | 1.45934i | ||||
\(435\) | 1.15871 | + | 8.84969i | 0.0555557 | + | 0.424310i | ||||
\(436\) | 36.2267i | 1.73494i | ||||||||
\(437\) | 1.88250i | 0.0900521i | ||||||||
\(438\) | − | 10.6068i | − | 0.506811i | ||||||
\(439\) | 40.1343 | 1.91551 | 0.957753 | − | 0.287591i | \(-0.0928544\pi\) | ||||
0.957753 | + | 0.287591i | \(0.0928544\pi\) | |||||||
\(440\) | −15.8491 | + | 30.5709i | −0.755575 | + | 1.45741i | ||||
\(441\) | −2.88031 | + | 6.37995i | −0.137158 | + | 0.303807i | ||||
\(442\) | 24.5556 | 1.16799 | ||||||||
\(443\) | − | 33.7067i | − | 1.60145i | −0.599029 | − | 0.800727i | \(-0.704447\pi\) | ||
0.599029 | − | 0.800727i | \(-0.295553\pi\) | |||||||
\(444\) | 28.6545i | 1.35988i | ||||||||
\(445\) | 0.551840 | + | 4.21472i | 0.0261597 | + | 0.199797i | ||||
\(446\) | −65.2571 | −3.09001 | ||||||||
\(447\) | 8.97699i | 0.424597i | ||||||||
\(448\) | −12.9402 | − | 20.0399i | −0.611368 | − | 0.946795i | ||||
\(449\) | −12.4875 | −0.589320 | −0.294660 | − | 0.955602i | \(-0.595206\pi\) | ||||
−0.294660 | + | 0.955602i | \(0.595206\pi\) | |||||||
\(450\) | −11.7455 | + | 3.12936i | −0.553687 | + | 0.147519i | ||||
\(451\) | −0.421532 | + | 0.605078i | −0.0198491 | + | 0.0284920i | ||||
\(452\) | − | 68.2353i | − | 3.20952i | ||||||
\(453\) | 10.7566i | 0.505387i | ||||||||
\(454\) | 9.29519i | 0.436245i | ||||||||
\(455\) | 10.0845 | − | 8.55549i | 0.472767 | − | 0.401087i | ||||
\(456\) | −4.18099 | −0.195793 | ||||||||
\(457\) | −5.91499 | −0.276691 | −0.138346 | − | 0.990384i | \(-0.544179\pi\) | ||||
−0.138346 | + | 0.990384i | \(0.544179\pi\) | |||||||
\(458\) | − | 15.3112i | − | 0.715446i | ||||||
\(459\) | − | 4.51862i | − | 0.210911i | ||||||
\(460\) | 2.37294 | + | 18.1235i | 0.110639 | + | 0.845014i | ||||
\(461\) | −24.6797 | −1.14945 | −0.574725 | − | 0.818346i | \(-0.694891\pi\) | ||||
−0.574725 | + | 0.818346i | \(0.694891\pi\) | |||||||
\(462\) | −21.3192 | − | 0.748942i | −0.991857 | − | 0.0348439i | ||||
\(463\) | 21.0685i | 0.979137i | 0.871965 | + | 0.489568i | \(0.162846\pi\) | ||||
−0.871965 | + | 0.489568i | \(0.837154\pi\) | |||||||
\(464\) | 13.8422i | 0.642608i | ||||||||
\(465\) | 2.52948 | + | 19.3191i | 0.117302 | + | 0.895900i | ||||
\(466\) | −1.51604 | −0.0702294 | ||||||||
\(467\) | −11.2951 | −0.522674 | −0.261337 | − | 0.965248i | \(-0.584163\pi\) | ||||
−0.261337 | + | 0.965248i | \(0.584163\pi\) | |||||||
\(468\) | 8.74028i | 0.404020i | ||||||||
\(469\) | −25.7804 | + | 16.6470i | −1.19043 | + | 0.768689i | ||||
\(470\) | 35.6009 | − | 4.66129i | 1.64215 | − | 0.215009i | ||||
\(471\) | 19.0721 | 0.878795 | ||||||||
\(472\) | 39.0193i | 1.79601i | ||||||||
\(473\) | −8.83702 | + | 12.6849i | −0.406327 | + | 0.583252i | ||||
\(474\) | − | 10.7944i | − | 0.495803i | ||||||
\(475\) | −4.35049 | + | 1.15910i | −0.199614 | + | 0.0531834i | ||||
\(476\) | −39.2690 | + | 25.3569i | −1.79989 | + | 1.16223i | ||||
\(477\) | 3.38806i | 0.155129i | ||||||||
\(478\) | − | 33.1759i | − | 1.51743i | ||||||
\(479\) | 26.9493 | 1.23135 | 0.615673 | − | 0.788002i | \(-0.288884\pi\) | ||||
0.615673 | + | 0.788002i | \(0.288884\pi\) | |||||||
\(480\) | 1.89731 | − | 0.248418i | 0.0865999 | − | 0.0113387i | ||||
\(481\) | 16.3822 | 0.746962 | ||||||||
\(482\) | −4.97267 | −0.226499 | ||||||||
\(483\) | −4.64671 | + | 3.00049i | −0.211433 | + | 0.136527i | ||||
\(484\) | −14.9029 | − | 40.3452i | −0.677405 | − | 1.83387i | ||||
\(485\) | 28.2569 | − | 3.69972i | 1.28308 | − | 0.167996i | ||||
\(486\) | 2.43104 | 0.110274 | ||||||||
\(487\) | 40.3226i | 1.82719i | 0.406626 | + | 0.913595i | \(0.366705\pi\) | ||||
−0.406626 | + | 0.913595i | \(0.633295\pi\) | |||||||
\(488\) | 10.1442 | 0.459208 | ||||||||
\(489\) | − | 3.29902i | − | 0.149187i | ||||||
\(490\) | −11.0224 | + | 36.4205i | −0.497939 | + | 1.64531i | ||||
\(491\) | − | 15.3176i | − | 0.691275i | −0.938368 | − | 0.345637i | \(-0.887663\pi\) | ||
0.938368 | − | 0.345637i | \(-0.112337\pi\) | |||||||
\(492\) | −0.869361 | −0.0391938 | ||||||||
\(493\) | −18.0360 | −0.812300 | ||||||||
\(494\) | 4.89333i | 0.220161i | ||||||||
\(495\) | 3.41338 | − | 6.58398i | 0.153420 | − | 0.295928i | ||||
\(496\) | 30.2178i | 1.35682i | ||||||||
\(497\) | 3.89124 | + | 6.02617i | 0.174546 | + | 0.270311i | ||||
\(498\) | 18.9497i | 0.849156i | ||||||||
\(499\) | −35.2565 | −1.57830 | −0.789150 | − | 0.614201i | \(-0.789478\pi\) | ||||
−0.789150 | + | 0.614201i | \(0.789478\pi\) | |||||||
\(500\) | −40.4227 | + | 16.6430i | −1.80776 | + | 0.744300i | ||||
\(501\) | 6.00033i | 0.268075i | ||||||||
\(502\) | − | 37.5424i | − | 1.67560i | ||||||
\(503\) | 4.01005i | 0.178799i | 0.995996 | + | 0.0893995i | \(0.0284948\pi\) | ||||
−0.995996 | + | 0.0893995i | \(0.971505\pi\) | |||||||
\(504\) | −6.66403 | − | 10.3202i | −0.296839 | − | 0.459700i | ||||
\(505\) | 1.90671 | − | 0.249649i | 0.0848475 | − | 0.0111092i | ||||
\(506\) | −13.8310 | − | 9.63544i | −0.614861 | − | 0.428347i | ||||
\(507\) | −8.00306 | −0.355429 | ||||||||
\(508\) | −86.6663 | −3.84520 | ||||||||
\(509\) | − | 22.0928i | − | 0.979245i | −0.871934 | − | 0.489623i | \(-0.837135\pi\) | ||
0.871934 | − | 0.489623i | \(-0.162865\pi\) | |||||||
\(510\) | −3.18888 | − | 24.3553i | −0.141206 | − | 1.07847i | ||||
\(511\) | 9.69752 | − | 6.26192i | 0.428993 | − | 0.277011i | ||||
\(512\) | 35.1725 | 1.55442 | ||||||||
\(513\) | 0.900450 | 0.0397558 | ||||||||
\(514\) | −29.8221 | −1.31539 | ||||||||
\(515\) | −4.10890 | + | 0.537985i | −0.181060 | + | 0.0237065i | ||||
\(516\) | −18.2253 | −0.802326 | ||||||||
\(517\) | −12.5221 | + | 17.9746i | −0.550722 | + | 0.790521i | ||||
\(518\) | −39.5988 | + | 25.5699i | −1.73987 | + | 1.12348i | ||||
\(519\) | − | 23.8329i | − | 1.04615i | ||||||
\(520\) | 3.01308 | + | 23.0126i | 0.132132 | + | 1.00917i | ||||
\(521\) | 11.5287i | 0.505083i | 0.967586 | + | 0.252542i | \(0.0812665\pi\) | ||||
−0.967586 | + | 0.252542i | \(0.918734\pi\) | |||||||
\(522\) | − | 9.70346i | − | 0.424709i | ||||||
\(523\) | − | 7.86287i | − | 0.343819i | −0.985113 | − | 0.171910i | \(-0.945006\pi\) | ||
0.985113 | − | 0.171910i | \(-0.0549937\pi\) | |||||||
\(524\) | −62.6387 | −2.73638 | ||||||||
\(525\) | −9.79529 | − | 8.89114i | −0.427501 | − | 0.388041i | ||||
\(526\) | −72.7224 | −3.17085 | ||||||||
\(527\) | −39.3730 | −1.71511 | ||||||||
\(528\) | 6.57469 | − | 9.43748i | 0.286126 | − | 0.410713i | ||||
\(529\) | 18.6293 | 0.809970 | ||||||||
\(530\) | 2.39102 | + | 18.2615i | 0.103859 | + | 0.793231i | ||||
\(531\) | − | 8.40349i | − | 0.364680i | ||||||
\(532\) | −5.05301 | − | 7.82535i | −0.219076 | − | 0.339272i | ||||
\(533\) | 0.497025i | 0.0215285i | ||||||||
\(534\) | − | 4.62133i | − | 0.199985i | ||||||
\(535\) | 21.9659 | − | 2.87604i | 0.949669 | − | 0.124342i | ||||
\(536\) | − | 53.8567i | − | 2.32626i | ||||||
\(537\) | −11.5323 | −0.497657 | ||||||||
\(538\) | 59.1090i | 2.54837i | ||||||||
\(539\) | −11.9015 | − | 19.9338i | −0.512632 | − | 0.858608i | ||||
\(540\) | 8.66897 | − | 1.13504i | 0.373053 | − | 0.0488445i | ||||
\(541\) | 19.9882i | 0.859358i | 0.902982 | + | 0.429679i | \(0.141373\pi\) | ||||
−0.902982 | + | 0.429679i | \(0.858627\pi\) | |||||||
\(542\) | −13.8284 | −0.593982 | ||||||||
\(543\) | 16.7900i | 0.720530i | ||||||||
\(544\) | 3.86678i | 0.165787i | ||||||||
\(545\) | −2.68964 | − | 20.5423i | −0.115211 | − | 0.879935i | ||||
\(546\) | −12.0786 | + | 7.79941i | −0.516914 | + | 0.333784i | ||||
\(547\) | 19.6243 | 0.839074 | 0.419537 | − | 0.907738i | \(-0.362193\pi\) | ||||
0.419537 | + | 0.907738i | \(0.362193\pi\) | |||||||
\(548\) | 58.2939i | 2.49019i | ||||||||
\(549\) | −2.18474 | −0.0932423 | ||||||||
\(550\) | 13.7516 | − | 37.8964i | 0.586369 | − | 1.61591i | ||||
\(551\) | − | 3.59413i | − | 0.153115i | ||||||
\(552\) | − | 9.70722i | − | 0.413167i | ||||||
\(553\) | 9.86907 | − | 6.37269i | 0.419675 | − | 0.270994i | ||||
\(554\) | 42.1568 | 1.79107 | ||||||||
\(555\) | −2.12744 | − | 16.2485i | −0.0903050 | − | 0.689710i | ||||
\(556\) | −71.4387 | −3.02967 | ||||||||
\(557\) | −7.42645 | −0.314669 | −0.157334 | − | 0.987545i | \(-0.550290\pi\) | ||||
−0.157334 | + | 0.987545i | \(0.550290\pi\) | |||||||
\(558\) | − | 21.1829i | − | 0.896743i | ||||||
\(559\) | 10.4197i | 0.440705i | ||||||||
\(560\) | −13.2728 | − | 15.6449i | −0.560880 | − | 0.661117i | ||||
\(561\) | 12.2968 | + | 8.56662i | 0.519170 | + | 0.361683i | ||||
\(562\) | 19.5456i | 0.824479i | ||||||||
\(563\) | − | 22.7910i | − | 0.960527i | −0.877124 | − | 0.480263i | \(-0.840541\pi\) | ||
0.877124 | − | 0.480263i | \(-0.159459\pi\) | |||||||
\(564\) | −25.8254 | −1.08745 | ||||||||
\(565\) | 5.06611 | + | 38.6927i | 0.213133 | + | 1.62782i | ||||
\(566\) | 53.0606i | 2.23030i | ||||||||
\(567\) | 1.43522 | + | 2.22265i | 0.0602734 | + | 0.0933424i | ||||
\(568\) | −12.5890 | −0.528222 | ||||||||
\(569\) | 24.5518i | 1.02927i | 0.857411 | + | 0.514633i | \(0.172072\pi\) | ||||
−0.857411 | + | 0.514633i | \(0.827928\pi\) | |||||||
\(570\) | 4.85340 | − | 0.635464i | 0.203287 | − | 0.0266167i | ||||
\(571\) | − | 27.0927i | − | 1.13379i | −0.823789 | − | 0.566897i | \(-0.808144\pi\) | ||
0.823789 | − | 0.566897i | \(-0.191856\pi\) | |||||||
\(572\) | −23.7854 | − | 16.5703i | −0.994517 | − | 0.692837i | ||||
\(573\) | 8.47885 | 0.354209 | ||||||||
\(574\) | −0.775776 | − | 1.20141i | −0.0323803 | − | 0.0501457i | ||||
\(575\) | −2.69115 | − | 10.1007i | −0.112229 | − | 0.421230i | ||||
\(576\) | −9.01623 | −0.375676 | ||||||||
\(577\) | 7.09032 | 0.295174 | 0.147587 | − | 0.989049i | \(-0.452849\pi\) | ||||
0.147587 | + | 0.989049i | \(0.452849\pi\) | |||||||
\(578\) | 8.30917 | 0.345616 | ||||||||
\(579\) | −16.4453 | −0.683445 | ||||||||
\(580\) | −4.53051 | − | 34.6020i | −0.188119 | − | 1.43677i | ||||
\(581\) | −17.3253 | + | 11.1873i | −0.718773 | + | 0.464129i | ||||
\(582\) | −30.9829 | −1.28428 | ||||||||
\(583\) | −9.22010 | − | 6.42325i | −0.381858 | − | 0.266024i | ||||
\(584\) | 20.2586i | 0.838308i | ||||||||
\(585\) | −0.648919 | − | 4.95617i | −0.0268295 | − | 0.204912i | ||||
\(586\) | − | 16.5748i | − | 0.684698i | ||||||
\(587\) | 44.8736 | 1.85213 | 0.926067 | − | 0.377360i | \(-0.123168\pi\) | ||||
0.926067 | + | 0.377360i | \(0.123168\pi\) | |||||||
\(588\) | 11.2619 | − | 24.9454i | 0.464435 | − | 1.02873i | ||||
\(589\) | − | 7.84606i | − | 0.323291i | ||||||
\(590\) | −5.93050 | − | 45.2946i | −0.244155 | − | 1.86475i | ||||
\(591\) | 14.8948 | 0.612689 | ||||||||
\(592\) | − | 25.4150i | − | 1.04455i | ||||||
\(593\) | − | 5.62319i | − | 0.230917i | −0.993312 | − | 0.115458i | \(-0.963166\pi\) | ||
0.993312 | − | 0.115458i | \(-0.0368337\pi\) | |||||||
\(594\) | −4.60889 | + | 6.61572i | −0.189105 | + | 0.271446i | ||||
\(595\) | 20.3848 | − | 17.2941i | 0.835696 | − | 0.708990i | ||||
\(596\) | − | 35.0998i | − | 1.43774i | ||||||
\(597\) | 15.3446i | 0.628013i | ||||||||
\(598\) | −11.3611 | −0.464589 | ||||||||
\(599\) | −28.4239 | −1.16137 | −0.580685 | − | 0.814128i | \(-0.697215\pi\) | ||||
−0.580685 | + | 0.814128i | \(0.697215\pi\) | |||||||
\(600\) | 22.4335 | − | 5.97699i | 0.915846 | − | 0.244010i | ||||
\(601\) | 3.53417 | 0.144162 | 0.0720809 | − | 0.997399i | \(-0.477036\pi\) | ||||
0.0720809 | + | 0.997399i | \(0.477036\pi\) | |||||||
\(602\) | −16.2634 | − | 25.1863i | −0.662848 | − | 1.02652i | ||||
\(603\) | 11.5990i | 0.472347i | ||||||||
\(604\) | − | 42.0579i | − | 1.71131i | ||||||
\(605\) | 11.4461 | + | 21.7712i | 0.465350 | + | 0.885127i | ||||
\(606\) | −2.09066 | −0.0849273 | ||||||||
\(607\) | − | 2.43587i | − | 0.0988688i | −0.998777 | − | 0.0494344i | \(-0.984258\pi\) | ||
0.998777 | − | 0.0494344i | \(-0.0157419\pi\) | |||||||
\(608\) | −0.770555 | −0.0312501 | ||||||||
\(609\) | 8.87165 | − | 5.72864i | 0.359497 | − | 0.232136i | ||||
\(610\) | −11.7757 | + | 1.54181i | −0.476783 | + | 0.0624261i | ||||
\(611\) | 14.7647i | 0.597318i | ||||||||
\(612\) | 17.6677i | 0.714174i | ||||||||
\(613\) | 12.3836 | 0.500167 | 0.250084 | − | 0.968224i | \(-0.419542\pi\) | ||||
0.250084 | + | 0.968224i | \(0.419542\pi\) | |||||||
\(614\) | 44.2735i | 1.78673i | ||||||||
\(615\) | 0.492970 | − | 0.0645454i | 0.0198785 | − | 0.00260272i | ||||
\(616\) | 40.7190 | + | 1.43046i | 1.64062 | + | 0.0576348i | ||||
\(617\) | 38.2622i | 1.54038i | 0.637815 | + | 0.770190i | \(0.279838\pi\) | ||||
−0.637815 | + | 0.770190i | \(0.720162\pi\) | |||||||
\(618\) | 4.50531 | 0.181230 | ||||||||
\(619\) | − | 32.4381i | − | 1.30380i | −0.758307 | − | 0.651898i | \(-0.773973\pi\) | ||
0.758307 | − | 0.651898i | \(-0.226027\pi\) | |||||||
\(620\) | −9.89019 | − | 75.5370i | −0.397200 | − | 3.03364i | ||||
\(621\) | 2.09062i | 0.0838937i | ||||||||
\(622\) | − | 8.19731i | − | 0.328682i | ||||||
\(623\) | 4.22518 | − | 2.72830i | 0.169278 | − | 0.109307i | ||||
\(624\) | − | 7.75217i | − | 0.310335i | ||||||
\(625\) | 21.6860 | − | 12.4386i | 0.867439 | − | 0.497543i | ||||
\(626\) | 5.21115 | 0.208279 | ||||||||
\(627\) | −1.70712 | + | 2.45044i | −0.0681757 | + | 0.0978612i | ||||
\(628\) | −74.5713 | −2.97572 | ||||||||
\(629\) | 33.1150 | 1.32038 | ||||||||
\(630\) | 9.30434 | + | 10.9671i | 0.370694 | + | 0.436942i | ||||
\(631\) | 15.2295 | 0.606275 | 0.303138 | − | 0.952947i | \(-0.401966\pi\) | ||||
0.303138 | + | 0.952947i | \(0.401966\pi\) | |||||||
\(632\) | 20.6170i | 0.820100i | ||||||||
\(633\) | − | 26.7512i | − | 1.06326i | ||||||
\(634\) | 67.0525i | 2.66300i | ||||||||
\(635\) | 49.1440 | − | 6.43451i | 1.95022 | − | 0.255346i | ||||
\(636\) | − | 13.2472i | − | 0.525286i | ||||||
\(637\) | −14.2616 | − | 6.43860i | −0.565067 | − | 0.255107i | ||||
\(638\) | 26.4065 | + | 18.3963i | 1.04544 | + | 0.728317i | ||||
\(639\) | 2.71126 | 0.107256 | ||||||||
\(640\) | −44.8026 | + | 5.86608i | −1.77098 | + | 0.231877i | ||||
\(641\) | 2.85005 | 0.112570 | 0.0562850 | − | 0.998415i | \(-0.482074\pi\) | ||||
0.0562850 | + | 0.998415i | \(0.482074\pi\) | |||||||
\(642\) | −24.0851 | −0.950562 | ||||||||
\(643\) | 40.5687 | 1.59987 | 0.799937 | − | 0.600084i | \(-0.204866\pi\) | ||||
0.799937 | + | 0.600084i | \(0.204866\pi\) | |||||||
\(644\) | 18.1685 | − | 11.7318i | 0.715939 | − | 0.462299i | ||||
\(645\) | 10.3347 | − | 1.35313i | 0.406927 | − | 0.0532796i | ||||
\(646\) | 9.89141i | 0.389172i | ||||||||
\(647\) | 8.32972 | 0.327475 | 0.163737 | − | 0.986504i | \(-0.447645\pi\) | ||||
0.163737 | + | 0.986504i | \(0.447645\pi\) | |||||||
\(648\) | −4.64322 | −0.182403 | ||||||||
\(649\) | 22.8688 | + | 15.9317i | 0.897681 | + | 0.625376i | ||||
\(650\) | −6.99532 | − | 26.2557i | −0.274379 | − | 1.02983i | ||||
\(651\) | 19.3670 | − | 12.5057i | 0.759053 | − | 0.490139i | ||||
\(652\) | 12.8991i | 0.505166i | ||||||||
\(653\) | − | 8.10570i | − | 0.317201i | −0.987343 | − | 0.158600i | \(-0.949302\pi\) | ||
0.987343 | − | 0.158600i | \(-0.0506981\pi\) | |||||||
\(654\) | 22.5241i | 0.880762i | ||||||||
\(655\) | 35.5192 | − | 4.65059i | 1.38785 | − | 0.181713i | ||||
\(656\) | 0.771077 | 0.0301055 | ||||||||
\(657\) | − | 4.36305i | − | 0.170219i | ||||||
\(658\) | −23.0454 | − | 35.6892i | −0.898403 | − | 1.39131i | ||||
\(659\) | 26.8215i | 1.04482i | 0.852695 | + | 0.522409i | \(0.174966\pi\) | ||||
−0.852695 | + | 0.522409i | \(0.825034\pi\) | |||||||
\(660\) | −13.3462 | + | 25.7432i | −0.519500 | + | 1.00205i | ||||
\(661\) | − | 33.5147i | − | 1.30357i | −0.758404 | − | 0.651785i | \(-0.774020\pi\) | ||
0.758404 | − | 0.651785i | \(-0.225980\pi\) | |||||||
\(662\) | −84.5826 | −3.28740 | ||||||||
\(663\) | 10.1008 | 0.392284 | ||||||||
\(664\) | − | 36.1934i | − | 1.40458i | ||||||
\(665\) | 3.44630 | + | 4.06219i | 0.133642 | + | 0.157525i | ||||
\(666\) | 17.8161i | 0.690359i | ||||||||
\(667\) | 8.34467 | 0.323107 | ||||||||
\(668\) | − | 23.4611i | − | 0.907739i | ||||||
\(669\) | −26.8433 | −1.03782 | ||||||||
\(670\) | 8.18562 | + | 62.5182i | 0.316238 | + | 2.41529i | ||||
\(671\) | 4.14193 | − | 5.94544i | 0.159898 | − | 0.229521i | ||||
\(672\) | −1.22818 | − | 1.90202i | −0.0473780 | − | 0.0733719i | ||||
\(673\) | 29.6119 | 1.14145 | 0.570727 | − | 0.821140i | \(-0.306661\pi\) | ||||
0.570727 | + | 0.821140i | \(0.306661\pi\) | |||||||
\(674\) | 54.0298 | 2.08115 | ||||||||
\(675\) | −4.83146 | + | 1.28725i | −0.185963 | + | 0.0495463i | ||||
\(676\) | 31.2918 | 1.20353 | ||||||||
\(677\) | − | 36.4537i | − | 1.40103i | −0.713638 | − | 0.700515i | \(-0.752954\pi\) | ||
0.713638 | − | 0.700515i | \(-0.247046\pi\) | |||||||
\(678\) | − | 42.4256i | − | 1.62935i | ||||||
\(679\) | −18.2914 | − | 28.3270i | −0.701960 | − | 1.08709i | ||||
\(680\) | 6.09066 | + | 46.5179i | 0.233566 | + | 1.78388i | ||||
\(681\) | 3.82354i | 0.146518i | ||||||||
\(682\) | 57.6461 | + | 40.1595i | 2.20738 | + | 1.53779i | ||||
\(683\) | 50.6338i | 1.93745i | 0.248140 | + | 0.968724i | \(0.420181\pi\) | ||||
−0.248140 | + | 0.968724i | \(0.579819\pi\) | |||||||
\(684\) | −3.52073 | −0.134619 | ||||||||
\(685\) | −4.32801 | − | 33.0555i | −0.165365 | − | 1.26299i | ||||
\(686\) | 44.5227 | − | 6.69678i | 1.69989 | − | 0.255684i | ||||
\(687\) | − | 6.29821i | − | 0.240292i | ||||||
\(688\) | 16.1649 | 0.616281 | ||||||||
\(689\) | −7.57361 | −0.288531 | ||||||||
\(690\) | 1.47539 | + | 11.2684i | 0.0561671 | + | 0.428980i | ||||
\(691\) | 37.3838i | 1.42215i | 0.703117 | + | 0.711074i | \(0.251791\pi\) | ||||
−0.703117 | + | 0.711074i | \(0.748209\pi\) | |||||||
\(692\) | 93.1859i | 3.54240i | ||||||||
\(693\) | −8.76955 | − | 0.308074i | −0.333128 | − | 0.0117028i | ||||
\(694\) | −47.8293 | −1.81558 | ||||||||
\(695\) | 40.5092 | − | 5.30394i | 1.53660 | − | 0.201190i | ||||
\(696\) | 18.5333i | 0.702505i | ||||||||
\(697\) | 1.00469i | 0.0380554i | ||||||||
\(698\) | −28.1297 | −1.06473 | ||||||||
\(699\) | −0.623619 | −0.0235874 | ||||||||
\(700\) | 38.2993 | + | 34.7641i | 1.44758 | + | 1.31396i | ||||
\(701\) | 10.3258i | 0.390001i | 0.980803 | + | 0.195001i | \(0.0624709\pi\) | ||||
−0.980803 | + | 0.195001i | \(0.937529\pi\) | |||||||
\(702\) | 5.43431i | 0.205105i | ||||||||
\(703\) | 6.59901i | 0.248886i | ||||||||
\(704\) | 17.0934 | − | 24.5363i | 0.644232 | − | 0.924747i | ||||
\(705\) | 14.6443 | − | 1.91740i | 0.551536 | − | 0.0722135i | ||||
\(706\) | 14.6883 | 0.552803 | ||||||||
\(707\) | −1.23426 | − | 1.91144i | −0.0464193 | − | 0.0718872i | ||||
\(708\) | 32.8574i | 1.23486i | ||||||||
\(709\) | −32.1746 | −1.20834 | −0.604170 | − | 0.796855i | \(-0.706495\pi\) | ||||
−0.604170 | + | 0.796855i | \(0.706495\pi\) | |||||||
\(710\) | 14.6136 | − | 1.91339i | 0.548440 | − | 0.0718082i | ||||
\(711\) | − | 4.44023i | − | 0.166522i | ||||||
\(712\) | 8.82662i | 0.330791i | ||||||||
\(713\) | 18.2166 | 0.682217 | ||||||||
\(714\) | −24.4157 | + | 15.7658i | −0.913734 | + | 0.590020i | ||||
\(715\) | 14.7177 | + | 7.63020i | 0.550412 | + | 0.285353i | ||||
\(716\) | 45.0911 | 1.68514 | ||||||||
\(717\) | − | 13.6468i | − | 0.509649i | ||||||
\(718\) | − | 81.9842i | − | 3.05962i | ||||||
\(719\) | − | 18.9928i | − | 0.708311i | −0.935187 | − | 0.354156i | \(-0.884768\pi\) | ||
0.935187 | − | 0.354156i | \(-0.115232\pi\) | |||||||
\(720\) | −7.68892 | + | 1.00672i | −0.286549 | + | 0.0375184i | ||||
\(721\) | 2.65980 | + | 4.11910i | 0.0990561 | + | 0.153403i | ||||
\(722\) | 44.2187 | 1.64565 | ||||||||
\(723\) | −2.04549 | −0.0760725 | ||||||||
\(724\) | − | 65.6486i | − | 2.43981i | ||||||
\(725\) | 5.13803 | + | 19.2847i | 0.190822 | + | 0.716215i | ||||
\(726\) | −9.26595 | − | 25.0848i | −0.343892 | − | 0.930985i | ||||
\(727\) | −2.78810 | −0.103405 | −0.0517025 | − | 0.998663i | \(-0.516465\pi\) | ||||
−0.0517025 | + | 0.998663i | \(0.516465\pi\) | |||||||
\(728\) | 23.0697 | − | 14.8967i | 0.855020 | − | 0.552107i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −3.07909 | − | 23.5167i | −0.113962 | − | 0.870393i | ||||
\(731\) | 21.0624i | 0.779021i | ||||||||
\(732\) | 8.54226 | 0.315731 | ||||||||
\(733\) | 37.8437i | 1.39779i | 0.715225 | + | 0.698894i | \(0.246324\pi\) | ||||
−0.715225 | + | 0.698894i | \(0.753676\pi\) | |||||||
\(734\) | 6.08094 | 0.224452 | ||||||||
\(735\) | −4.53400 | + | 14.9814i | −0.167239 | + | 0.552598i | ||||
\(736\) | − | 1.78904i | − | 0.0659447i | ||||||
\(737\) | −31.5649 | − | 21.9899i | −1.16271 | − | 0.810009i | ||||
\(738\) | −0.540529 | −0.0198972 | ||||||||
\(739\) | 30.5762i | 1.12476i | 0.826878 | + | 0.562381i | \(0.190115\pi\) | ||||
−0.826878 | + | 0.562381i | \(0.809885\pi\) | |||||||
\(740\) | 8.31825 | + | 63.5312i | 0.305785 | + | 2.33545i | ||||
\(741\) | 2.01285i | 0.0739439i | ||||||||
\(742\) | 18.3069 | − | 11.8212i | 0.672066 | − | 0.433969i | ||||
\(743\) | −30.0083 | −1.10090 | −0.550448 | − | 0.834869i | \(-0.685543\pi\) | ||||
−0.550448 | + | 0.834869i | \(0.685543\pi\) | |||||||
\(744\) | 40.4587i | 1.48329i | ||||||||
\(745\) | 2.60597 | + | 19.9033i | 0.0954754 | + | 0.729200i | ||||
\(746\) | 86.2588 | 3.15816 | ||||||||
\(747\) | 7.79488i | 0.285200i | ||||||||
\(748\) | −48.0800 | − | 33.4953i | −1.75798 | − | 1.22471i | ||||
\(749\) | −14.2191 | − | 22.0204i | −0.519555 | − | 0.804609i | ||||
\(750\) | −25.1330 | + | 10.3479i | −0.917727 | + | 0.377852i | ||||
\(751\) | 43.9821 | 1.60493 | 0.802465 | − | 0.596699i | \(-0.203521\pi\) | ||||
0.802465 | + | 0.596699i | \(0.203521\pi\) | |||||||
\(752\) | 22.9058 | 0.835288 | ||||||||
\(753\) | − | 15.4429i | − | 0.562771i | ||||||
\(754\) | 21.6910 | 0.789938 | ||||||||
\(755\) | 3.12257 | + | 23.8489i | 0.113642 | + | 0.867949i | ||||
\(756\) | −5.61165 | − | 8.69048i | −0.204094 | − | 0.316070i | ||||
\(757\) | − | 19.6883i | − | 0.715583i | −0.933801 | − | 0.357792i | \(-0.883530\pi\) | ||
0.933801 | − | 0.357792i | \(-0.116470\pi\) | |||||||
\(758\) | −23.6768 | −0.859979 | ||||||||
\(759\) | −5.68931 | − | 3.96350i | −0.206509 | − | 0.143866i | ||||
\(760\) | −9.26986 | + | 1.21372i | −0.336253 | + | 0.0440262i | ||||
\(761\) | −6.41086 | −0.232393 | −0.116197 | − | 0.993226i | \(-0.537070\pi\) | ||||
−0.116197 | + | 0.993226i | \(0.537070\pi\) | |||||||
\(762\) | −53.8852 | −1.95205 | ||||||||
\(763\) | −20.5933 | + | 13.2976i | −0.745526 | + | 0.481404i | ||||
\(764\) | −33.1521 | −1.19940 | ||||||||
\(765\) | −1.31173 | − | 10.0184i | −0.0474257 | − | 0.362217i | ||||
\(766\) | −12.5966 | −0.455135 | ||||||||
\(767\) | 18.7850 | 0.678287 | ||||||||
\(768\) | 31.0925 | 1.12195 | ||||||||
\(769\) | −49.6557 | −1.79063 | −0.895314 | − | 0.445435i | \(-0.853049\pi\) | ||||
−0.895314 | + | 0.445435i | \(0.853049\pi\) | |||||||
\(770\) | −47.4851 | + | 4.52833i | −1.71124 | + | 0.163190i | ||||
\(771\) | −12.2672 | −0.441792 | ||||||||
\(772\) | 64.3008 | 2.31424 | ||||||||
\(773\) | 32.8350 | 1.18099 | 0.590497 | − | 0.807040i | \(-0.298932\pi\) | ||||
0.590497 | + | 0.807040i | \(0.298932\pi\) | |||||||
\(774\) | −11.3317 | −0.407309 | ||||||||
\(775\) | 11.2164 | + | 42.0989i | 0.402906 | + | 1.51224i | ||||
\(776\) | 59.1765 | 2.12431 | ||||||||
\(777\) | −16.2888 | + | 10.5181i | −0.584358 | + | 0.377334i | ||||
\(778\) | 36.4429 | 1.30654 | ||||||||
\(779\) | −0.200210 | −0.00717327 | ||||||||
\(780\) | 2.53726 | + | 19.3785i | 0.0908484 | + | 0.693861i | ||||
\(781\) | −5.14014 | + | 7.37830i | −0.183929 | + | 0.264016i | ||||
\(782\) | −22.9654 | −0.821240 | ||||||||
\(783\) | − | 3.99148i | − | 0.142644i | ||||||
\(784\) | −9.98874 | + | 22.1253i | −0.356741 | + | 0.790188i | ||||
\(785\) | 42.2856 | − | 5.53652i | 1.50924 | − | 0.197607i | ||||
\(786\) | −38.9459 | −1.38915 | ||||||||
\(787\) | − | 55.7000i | − | 1.98549i | −0.120239 | − | 0.992745i | \(-0.538366\pi\) | ||
0.120239 | − | 0.992745i | \(-0.461634\pi\) | |||||||
\(788\) | −58.2381 | −2.07465 | ||||||||
\(789\) | −29.9141 | −1.06497 | ||||||||
\(790\) | −3.13356 | − | 23.9327i | −0.111487 | − | 0.851489i | ||||
\(791\) | 38.7888 | − | 25.0468i | 1.37917 | − | 0.890563i | ||||
\(792\) | 8.80285 | − | 12.6358i | 0.312796 | − | 0.448995i | ||||
\(793\) | − | 4.88372i | − | 0.173426i | ||||||
\(794\) | 56.2618 | 1.99666 | ||||||||
\(795\) | 0.983535 | + | 7.51182i | 0.0348824 | + | 0.266417i | ||||
\(796\) | − | 59.9970i | − | 2.12654i | ||||||
\(797\) | −40.5772 | −1.43732 | −0.718659 | − | 0.695363i | \(-0.755244\pi\) | ||||
−0.718659 | + | 0.695363i | \(0.755244\pi\) | |||||||
\(798\) | −3.14174 | − | 4.86545i | −0.111216 | − | 0.172235i | ||||
\(799\) | 29.8456i | 1.05586i | ||||||||
\(800\) | 4.13449 | − | 1.10156i | 0.146176 | − | 0.0389459i | ||||
\(801\) | − | 1.90097i | − | 0.0671674i | ||||||
\(802\) | −4.07027 | −0.143726 | ||||||||
\(803\) | 11.8734 | + | 8.27168i | 0.419003 | + | 0.291901i | ||||
\(804\) | − | 45.3517i | − | 1.59943i | ||||||
\(805\) | −9.43140 | + | 8.00143i | −0.332413 | + | 0.282013i | ||||
\(806\) | 47.3518 | 1.66790 | ||||||||
\(807\) | 24.3142i | 0.855902i | ||||||||
\(808\) | 3.99310 | 0.140477 | ||||||||
\(809\) | − | 29.5534i | − | 1.03904i | −0.854458 | − | 0.519521i | \(-0.826111\pi\) | ||
0.854458 | − | 0.519521i | \(-0.173889\pi\) | |||||||
\(810\) | 5.38997 | − | 0.705719i | 0.189384 | − | 0.0247964i | ||||
\(811\) | 23.1028 | 0.811248 | 0.405624 | − | 0.914040i | \(-0.367054\pi\) | ||||
0.405624 | + | 0.914040i | \(0.367054\pi\) | |||||||
\(812\) | −34.6879 | + | 22.3988i | −1.21731 | + | 0.786044i | ||||
\(813\) | −5.68827 | −0.199496 | ||||||||
\(814\) | −48.4838 | − | 33.7766i | −1.69936 | − | 1.18387i | ||||
\(815\) | −0.957686 | − | 7.31439i | −0.0335463 | − | 0.256212i | ||||
\(816\) | − | 15.6703i | − | 0.548570i | ||||||
\(817\) | −4.19722 | −0.146842 | ||||||||
\(818\) | 63.3915 | 2.21643 | ||||||||
\(819\) | −4.96846 | + | 3.20826i | −0.173612 | + | 0.112106i | ||||
\(820\) | −1.92750 | + | 0.252371i | −0.0673112 | + | 0.00881317i | ||||
\(821\) | 2.22635i | 0.0777003i | 0.999245 | + | 0.0388501i | \(0.0123695\pi\) | ||||
−0.999245 | + | 0.0388501i | \(0.987631\pi\) | |||||||
\(822\) | 36.2445i | 1.26417i | ||||||||
\(823\) | − | 19.2519i | − | 0.671080i | −0.942026 | − | 0.335540i | \(-0.891081\pi\) | ||
0.942026 | − | 0.335540i | \(-0.108919\pi\) | |||||||
\(824\) | −8.60501 | −0.299770 | ||||||||
\(825\) | 5.65666 | − | 15.5885i | 0.196939 | − | 0.542723i | ||||
\(826\) | −45.4070 | + | 29.3204i | −1.57991 | + | 1.02019i | ||||
\(827\) | 6.05218 | 0.210455 | 0.105227 | − | 0.994448i | \(-0.466443\pi\) | ||||
0.105227 | + | 0.994448i | \(0.466443\pi\) | |||||||
\(828\) | − | 8.17426i | − | 0.284075i | ||||||
\(829\) | 0.890443i | 0.0309264i | 0.999880 | + | 0.0154632i | \(0.00492228\pi\) | ||||
−0.999880 | + | 0.0154632i | \(0.995078\pi\) | |||||||
\(830\) | 5.50099 | + | 42.0142i | 0.190942 | + | 1.45833i | ||||
\(831\) | 17.3410 | 0.601554 | ||||||||
\(832\) | − | 20.1547i | − | 0.698739i | ||||||
\(833\) | −28.8286 | − | 13.0150i | −0.998852 | − | 0.450944i | ||||
\(834\) | −44.4173 | −1.53805 | ||||||||
\(835\) | 1.74186 | + | 13.3036i | 0.0602797 | + | 0.460390i | ||||
\(836\) | 6.67478 | − | 9.58116i | 0.230852 | − | 0.331371i | ||||
\(837\) | − | 8.71349i | − | 0.301182i | ||||||
\(838\) | 19.7971i | 0.683878i | ||||||||
\(839\) | − | 28.2528i | − | 0.975394i | −0.873013 | − | 0.487697i | \(-0.837837\pi\) | ||
0.873013 | − | 0.487697i | \(-0.162163\pi\) | |||||||
\(840\) | −17.7710 | − | 20.9469i | −0.613159 | − | 0.722738i | ||||
\(841\) | 13.0681 | 0.450623 | ||||||||
\(842\) | −18.6179 | −0.641615 | ||||||||
\(843\) | 8.03999i | 0.276912i | ||||||||
\(844\) | 104.596i | 3.60035i | ||||||||
\(845\) | −17.7439 | + | 2.32325i | −0.610410 | + | 0.0799221i | ||||
\(846\) | −16.0571 | −0.552054 | ||||||||
\(847\) | 17.4641 | − | 23.2810i | 0.600075 | − | 0.799944i | ||||
\(848\) | 11.7496i | 0.403482i | ||||||||
\(849\) | 21.8263i | 0.749076i | ||||||||
\(850\) | −14.1404 | − | 53.0734i | −0.485012 | − | 1.82040i | ||||
\(851\) | −15.3213 | −0.525206 | ||||||||
\(852\) | −10.6010 | −0.363183 | ||||||||
\(853\) | − | 26.7330i | − | 0.915319i | −0.889127 | − | 0.457660i | \(-0.848688\pi\) | ||
0.889127 | − | 0.457660i | \(-0.151312\pi\) | |||||||
\(854\) | 7.62271 | + | 11.8049i | 0.260844 | + | 0.403955i | ||||
\(855\) | 1.99643 | − | 0.261396i | 0.0682764 | − | 0.00893955i | ||||
\(856\) | 46.0018 | 1.57231 | ||||||||
\(857\) | 43.2637i | 1.47786i | 0.673783 | + | 0.738929i | \(0.264668\pi\) | ||||
−0.673783 | + | 0.738929i | \(0.735332\pi\) | |||||||
\(858\) | −14.7887 | − | 10.3026i | −0.504877 | − | 0.351726i | ||||
\(859\) | 24.4844i | 0.835398i | 0.908586 | + | 0.417699i | \(0.137163\pi\) | ||||
−0.908586 | + | 0.417699i | \(0.862837\pi\) | |||||||
\(860\) | −40.4082 | + | 5.29072i | −1.37791 | + | 0.180412i | ||||
\(861\) | −0.319112 | − | 0.494193i | −0.0108753 | − | 0.0168421i | ||||
\(862\) | 33.6274i | 1.14535i | ||||||||
\(863\) | 9.43459i | 0.321157i | 0.987023 | + | 0.160579i | \(0.0513360\pi\) | ||||
−0.987023 | + | 0.160579i | \(0.948664\pi\) | |||||||
\(864\) | −0.855744 | −0.0291130 | ||||||||
\(865\) | −6.91855 | − | 52.8409i | −0.235238 | − | 1.79665i | ||||
\(866\) | 66.8534 | 2.27177 | ||||||||
\(867\) | 3.41794 | 0.116079 | ||||||||
\(868\) | −75.7244 | + | 48.8971i | −2.57026 | + | 1.65968i | ||||
\(869\) | 12.0834 | + | 8.41801i | 0.409902 | + | 0.285561i | ||||
\(870\) | −2.81686 | − | 21.5140i | −0.0955006 | − | 0.729392i | ||||
\(871\) | −25.9282 | −0.878543 | ||||||||
\(872\) | − | 43.0204i | − | 1.45686i | ||||||
\(873\) | −12.7447 | −0.431343 | ||||||||
\(874\) | − | 4.57644i | − | 0.154800i | ||||||
\(875\) | −24.2986 | − | 16.8694i | −0.821443 | − | 0.570291i | ||||
\(876\) | 17.0594i | 0.576384i | ||||||||
\(877\) | −0.638445 | −0.0215588 | −0.0107794 | − | 0.999942i | \(-0.503431\pi\) | ||||
−0.0107794 | + | 0.999942i | \(0.503431\pi\) | |||||||
\(878\) | −97.5683 | −3.29277 | ||||||||
\(879\) | − | 6.81797i | − | 0.229964i | ||||||
\(880\) | 11.8374 | − | 22.8328i | 0.399038 | − | 0.769695i | ||||
\(881\) | 28.7520i | 0.968681i | 0.874880 | + | 0.484340i | \(0.160940\pi\) | ||||
−0.874880 | + | 0.484340i | \(0.839060\pi\) | |||||||
\(882\) | 7.00216 | − | 15.5099i | 0.235775 | − | 0.522247i | ||||
\(883\) | 47.7250i | 1.60607i | 0.595929 | + | 0.803037i | \(0.296784\pi\) | ||||
−0.595929 | + | 0.803037i | \(0.703216\pi\) | |||||||
\(884\) | −39.4940 | −1.32833 | ||||||||
\(885\) | −2.43949 | − | 18.6317i | −0.0820024 | − | 0.626299i | ||||
\(886\) | 81.9425i | 2.75291i | ||||||||
\(887\) | − | 44.1371i | − | 1.48198i | −0.671518 | − | 0.740989i | \(-0.734357\pi\) | ||
0.671518 | − | 0.740989i | \(-0.265643\pi\) | |||||||
\(888\) | − | 34.0282i | − | 1.14191i | ||||||
\(889\) | −31.8122 | − | 49.2660i | −1.06695 | − | 1.65233i | ||||
\(890\) | −1.34155 | − | 10.2462i | −0.0449688 | − | 0.343452i | ||||
\(891\) | −1.89585 | + | 2.72135i | −0.0635133 | + | 0.0911687i | ||||
\(892\) | 104.956 | 3.51420 | ||||||||
\(893\) | −5.94749 | −0.199025 | ||||||||
\(894\) | − | 21.8234i | − | 0.729885i | ||||||
\(895\) | −25.5689 | + | 3.34778i | −0.854673 | + | 0.111904i | ||||
\(896\) | 29.0019 | + | 44.9138i | 0.968886 | + | 1.50046i | ||||
\(897\) | −4.67333 | −0.156038 | ||||||||
\(898\) | 30.3576 | 1.01305 | ||||||||
\(899\) | −34.7797 | −1.15997 | ||||||||
\(900\) | 18.8909 | − | 5.03311i | 0.629696 | − | 0.167770i | ||||
\(901\) | −15.3094 | −0.510029 | ||||||||
\(902\) | 1.02476 | − | 1.47097i | 0.0341208 | − | 0.0489779i | ||||
\(903\) | −6.68989 | − | 10.3603i | −0.222626 | − | 0.344769i | ||||
\(904\) | 81.0318i | 2.69508i | ||||||||
\(905\) | 4.87406 | + | 37.2260i | 0.162019 | + | 1.23743i | ||||
\(906\) | − | 26.1497i | − | 0.868765i | ||||||
\(907\) | 1.88919i | 0.0627295i | 0.999508 | + | 0.0313647i | \(0.00998534\pi\) | ||||
−0.999508 | + | 0.0313647i | \(0.990015\pi\) | |||||||
\(908\) | − | 14.9499i | − | 0.496131i | ||||||
\(909\) | −0.859985 | −0.0285239 | ||||||||
\(910\) | −24.5158 | + | 20.7988i | −0.812690 | + | 0.689472i | ||||
\(911\) | −34.4840 | −1.14251 | −0.571253 | − | 0.820774i | \(-0.693542\pi\) | ||||
−0.571253 | + | 0.820774i | \(0.693542\pi\) | |||||||
\(912\) | 3.12270 | 0.103403 | ||||||||
\(913\) | −21.2126 | − | 14.7779i | −0.702035 | − | 0.489078i | ||||
\(914\) | 14.3796 | 0.475635 | ||||||||
\(915\) | −4.84388 | + | 0.634217i | −0.160134 | + | 0.0209666i | ||||
\(916\) | 24.6258i | 0.813660i | ||||||||
\(917\) | −22.9925 | − | 35.6073i | −0.759279 | − | 1.17586i | ||||
\(918\) | 10.9850i | 0.362558i | ||||||||
\(919\) | − | 31.2719i | − | 1.03156i | −0.856720 | − | 0.515782i | \(-0.827501\pi\) | ||
0.856720 | − | 0.515782i | \(-0.172499\pi\) | |||||||
\(920\) | −2.81795 | − | 21.5223i | −0.0929051 | − | 0.709569i | ||||
\(921\) | 18.2117i | 0.600097i | ||||||||
\(922\) | 59.9975 | 1.97591 | ||||||||
\(923\) | 6.06071i | 0.199491i | ||||||||
\(924\) | 34.2887 | + | 1.20456i | 1.12802 | + | 0.0396272i | ||||
\(925\) | −9.43370 | − | 35.4077i | −0.310178 | − | 1.16420i | ||||
\(926\) | − | 51.2185i | − | 1.68314i | ||||||
\(927\) | 1.85324 | 0.0608684 | ||||||||
\(928\) | 3.41569i | 0.112125i | ||||||||
\(929\) | 20.2079i | 0.663000i | 0.943455 | + | 0.331500i | \(0.107555\pi\) | ||||
−0.943455 | + | 0.331500i | \(0.892445\pi\) | |||||||
\(930\) | −6.14927 | − | 46.9655i | −0.201643 | − | 1.54006i | ||||
\(931\) | 2.59358 | − | 5.74483i | 0.0850011 | − | 0.188279i | ||||
\(932\) | 2.43833 | 0.0798702 | ||||||||
\(933\) | − | 3.37193i | − | 0.110392i | ||||||
\(934\) | 27.4588 | 0.898481 | ||||||||
\(935\) | 29.7505 | + | 15.4238i | 0.972947 | + | 0.504411i | ||||
\(936\) | − | 10.3794i | − | 0.339261i | ||||||
\(937\) | − | 7.50320i | − | 0.245119i | −0.992461 | − | 0.122559i | \(-0.960890\pi\) | ||
0.992461 | − | 0.122559i | \(-0.0391102\pi\) | |||||||
\(938\) | 62.6734 | − | 40.4697i | 2.04636 | − | 1.32138i | ||||
\(939\) | 2.14358 | 0.0699532 | ||||||||
\(940\) | −57.2587 | + | 7.49699i | −1.86757 | + | 0.244525i | ||||
\(941\) | 27.6846 | 0.902493 | 0.451246 | − | 0.892399i | \(-0.350980\pi\) | ||||
0.451246 | + | 0.892399i | \(0.350980\pi\) | |||||||
\(942\) | −46.3651 | −1.51066 | ||||||||
\(943\) | − | 0.464838i | − | 0.0151372i | ||||||
\(944\) | − | 29.1428i | − | 0.948516i | ||||||
\(945\) | 3.82730 | + | 4.51129i | 0.124502 | + | 0.146752i | ||||
\(946\) | 21.4832 | − | 30.8375i | 0.698478 | − | 1.00261i | ||||
\(947\) | 25.2758i | 0.821352i | 0.911781 | + | 0.410676i | \(0.134707\pi\) | ||||
−0.911781 | + | 0.410676i | \(0.865293\pi\) | |||||||
\(948\) | 17.3612i | 0.563865i | ||||||||
\(949\) | 9.75309 | 0.316599 | ||||||||
\(950\) | 10.5762 | − | 2.81783i | 0.343138 | − | 0.0914226i | ||||
\(951\) | 27.5818i | 0.894401i | ||||||||
\(952\) | 46.6333 | − | 30.1122i | 1.51139 | − | 0.975943i | ||||
\(953\) | 0.370486 | 0.0120012 | 0.00600062 | − | 0.999982i | \(-0.498090\pi\) | ||||
0.00600062 | + | 0.999982i | \(0.498090\pi\) | |||||||
\(954\) | − | 8.23652i | − | 0.266667i | ||||||
\(955\) | 18.7988 | − | 2.46136i | 0.608316 | − | 0.0796479i | ||||
\(956\) | 53.3586i | 1.72574i | ||||||||
\(957\) | 10.8622 | + | 7.56725i | 0.351126 | + | 0.244614i | ||||
\(958\) | −65.5150 | −2.11669 | ||||||||
\(959\) | −33.1375 | + | 21.3977i | −1.07007 | + | 0.690967i | ||||
\(960\) | −19.9903 | + | 2.61736i | −0.645183 | + | 0.0844750i | ||||
\(961\) | −44.9249 | −1.44919 | ||||||||
\(962\) | −39.8257 | −1.28403 | ||||||||
\(963\) | −9.90730 | −0.319258 | ||||||||
\(964\) | 7.99780 | 0.257592 | ||||||||
\(965\) | −36.4617 | + | 4.77399i | −1.17374 | + | 0.153680i | ||||
\(966\) | 11.2963 | − | 7.29432i | 0.363454 | − | 0.234691i | ||||
\(967\) | 26.9429 | 0.866424 | 0.433212 | − | 0.901292i | \(-0.357380\pi\) | ||||
0.433212 | + | 0.901292i | \(0.357380\pi\) | |||||||
\(968\) | 17.6977 | + | 47.9113i | 0.568826 | + | 1.53993i | ||||
\(969\) | 4.06879i | 0.130708i | ||||||||
\(970\) | −68.6936 | + | 8.99418i | −2.20562 | + | 0.288786i | ||||
\(971\) | − | 47.1845i | − | 1.51422i | −0.653286 | − | 0.757111i | \(-0.726610\pi\) | ||
0.653286 | − | 0.757111i | \(-0.273390\pi\) | |||||||
\(972\) | −3.90997 | −0.125412 | ||||||||
\(973\) | −26.2227 | − | 40.6097i | −0.840660 | − | 1.30189i | ||||
\(974\) | − | 98.0259i | − | 3.14095i | ||||||
\(975\) | −2.87750 | − | 10.8002i | −0.0921536 | − | 0.345882i | ||||
\(976\) | −7.57653 | −0.242519 | ||||||||
\(977\) | 43.8326i | 1.40233i | 0.712999 | + | 0.701165i | \(0.247336\pi\) | ||||
−0.712999 | + | 0.701165i | \(0.752664\pi\) | |||||||
\(978\) | 8.02005i | 0.256453i | ||||||||
\(979\) | 5.17320 | + | 3.60395i | 0.165336 | + | 0.115183i | ||||
\(980\) | 17.7278 | − | 58.5769i | 0.566294 | − | 1.87117i | ||||
\(981\) | 9.26520i | 0.295815i | ||||||||
\(982\) | 37.2378i | 1.18831i | ||||||||
\(983\) | 10.2359 | 0.326475 | 0.163238 | − | 0.986587i | \(-0.447806\pi\) | ||||
0.163238 | + | 0.986587i | \(0.447806\pi\) | |||||||
\(984\) | 1.03240 | 0.0329116 | ||||||||
\(985\) | 33.0239 | − | 4.32387i | 1.05223 | − | 0.137770i | ||||
\(986\) | 43.8463 | 1.39635 | ||||||||
\(987\) | −9.47963 | − | 14.6806i | −0.301740 | − | 0.467289i | ||||
\(988\) | − | 7.87019i | − | 0.250384i | ||||||
\(989\) | − | 9.74489i | − | 0.309870i | ||||||
\(990\) | −8.29807 | + | 16.0060i | −0.263730 | + | 0.508703i | ||||
\(991\) | 31.3439 | 0.995673 | 0.497837 | − | 0.867271i | \(-0.334128\pi\) | ||||
0.497837 | + | 0.867271i | \(0.334128\pi\) | |||||||
\(992\) | 7.45652i | 0.236745i | ||||||||
\(993\) | −34.7927 | −1.10411 | ||||||||
\(994\) | −9.45978 | − | 14.6499i | −0.300046 | − | 0.464666i | ||||
\(995\) | 4.45445 | + | 34.0212i | 0.141216 | + | 1.07854i | ||||
\(996\) | − | 30.4778i | − | 0.965725i | ||||||
\(997\) | 46.4651i | 1.47156i | 0.677219 | + | 0.735782i | \(0.263185\pi\) | ||||
−0.677219 | + | 0.735782i | \(0.736815\pi\) | |||||||
\(998\) | 85.7102 | 2.71311 | ||||||||
\(999\) | 7.32857i | 0.231866i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1155.2.k.a.769.5 | ✓ | 48 | |
5.4 | even | 2 | 1155.2.k.b.769.44 | yes | 48 | ||
7.6 | odd | 2 | 1155.2.k.b.769.6 | yes | 48 | ||
11.10 | odd | 2 | inner | 1155.2.k.a.769.44 | yes | 48 | |
35.34 | odd | 2 | inner | 1155.2.k.a.769.43 | yes | 48 | |
55.54 | odd | 2 | 1155.2.k.b.769.5 | yes | 48 | ||
77.76 | even | 2 | 1155.2.k.b.769.43 | yes | 48 | ||
385.384 | even | 2 | inner | 1155.2.k.a.769.6 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.k.a.769.5 | ✓ | 48 | 1.1 | even | 1 | trivial | |
1155.2.k.a.769.6 | yes | 48 | 385.384 | even | 2 | inner | |
1155.2.k.a.769.43 | yes | 48 | 35.34 | odd | 2 | inner | |
1155.2.k.a.769.44 | yes | 48 | 11.10 | odd | 2 | inner | |
1155.2.k.b.769.5 | yes | 48 | 55.54 | odd | 2 | ||
1155.2.k.b.769.6 | yes | 48 | 7.6 | odd | 2 | ||
1155.2.k.b.769.43 | yes | 48 | 77.76 | even | 2 | ||
1155.2.k.b.769.44 | yes | 48 | 5.4 | even | 2 |