Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.12 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.12 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06970 | − | 0.925063i | 0.756392 | − | 0.654119i | ||||
\(3\) | −0.246909 | + | 0.0661591i | −0.142553 | + | 0.0381970i | −0.329390 | − | 0.944194i | \(-0.606843\pi\) |
0.186837 | + | 0.982391i | \(0.440176\pi\) | |||||||
\(4\) | 0.288515 | − | 1.97908i | 0.144258 | − | 0.989540i | ||||
\(5\) | −0.133797 | + | 0.499339i | −0.0598360 | + | 0.223311i | −0.989369 | − | 0.145429i | \(-0.953544\pi\) |
0.929533 | + | 0.368740i | \(0.120211\pi\) | |||||||
\(6\) | −0.202917 | + | 0.299177i | −0.0828406 | + | 0.122138i | ||||
\(7\) | 2.45011 | − | 0.998472i | 0.926056 | − | 0.377387i | ||||
\(8\) | −1.52215 | − | 2.38392i | −0.538161 | − | 0.842842i | ||||
\(9\) | −2.54149 | + | 1.46733i | −0.847163 | + | 0.489110i | ||||
\(10\) | 0.318797 | + | 0.657913i | 0.100812 | + | 0.208050i | ||||
\(11\) | 2.10325 | − | 0.563565i | 0.634154 | − | 0.169921i | 0.0726002 | − | 0.997361i | \(-0.476870\pi\) |
0.561554 | + | 0.827440i | \(0.310204\pi\) | |||||||
\(12\) | 0.0596972 | + | 0.507741i | 0.0172331 | + | 0.146572i | ||||
\(13\) | −4.30447 | + | 4.30447i | −1.19385 | + | 1.19385i | −0.217866 | + | 0.975979i | \(0.569910\pi\) |
−0.975979 | + | 0.217866i | \(0.930090\pi\) | |||||||
\(14\) | 1.69724 | − | 3.33458i | 0.453605 | − | 0.891203i | ||||
\(15\) | − | 0.132143i | − | 0.0341192i | ||||||
\(16\) | −3.83352 | − | 1.14199i | −0.958380 | − | 0.285497i | ||||
\(17\) | 2.04492 | + | 1.18064i | 0.495966 | + | 0.286346i | 0.727046 | − | 0.686589i | \(-0.240893\pi\) |
−0.231080 | + | 0.972935i | \(0.574226\pi\) | |||||||
\(18\) | −1.36126 | + | 3.92064i | −0.320851 | + | 0.924104i | ||||
\(19\) | −1.35963 | + | 5.07421i | −0.311921 | + | 1.16410i | 0.614902 | + | 0.788604i | \(0.289196\pi\) |
−0.926822 | + | 0.375500i | \(0.877471\pi\) | |||||||
\(20\) | 0.949628 | + | 0.408862i | 0.212343 | + | 0.0914244i | ||||
\(21\) | −0.538897 | + | 0.408629i | −0.117597 | + | 0.0891702i | ||||
\(22\) | 1.72852 | − | 2.54849i | 0.368521 | − | 0.543339i | ||||
\(23\) | −1.78181 | − | 3.08619i | −0.371533 | − | 0.643515i | 0.618268 | − | 0.785967i | \(-0.287835\pi\) |
−0.989802 | + | 0.142453i | \(0.954501\pi\) | |||||||
\(24\) | 0.533550 | + | 0.487907i | 0.108911 | + | 0.0995935i | ||||
\(25\) | 4.09869 | + | 2.36638i | 0.819738 | + | 0.473276i | ||||
\(26\) | −0.622582 | + | 8.58640i | −0.122098 | + | 1.68393i | ||||
\(27\) | 1.07269 | − | 1.07269i | 0.206439 | − | 0.206439i | ||||
\(28\) | −1.26916 | − | 5.13704i | −0.239849 | − | 0.970810i | ||||
\(29\) | −5.02433 | − | 5.02433i | −0.932995 | − | 0.932995i | 0.0648973 | − | 0.997892i | \(-0.479328\pi\) |
−0.997892 | + | 0.0648973i | \(0.979328\pi\) | |||||||
\(30\) | −0.122241 | − | 0.141353i | −0.0223180 | − | 0.0258075i | ||||
\(31\) | 2.62224 | − | 4.54185i | 0.470968 | − | 0.815740i | −0.528481 | − | 0.848945i | \(-0.677238\pi\) |
0.999449 | + | 0.0332049i | \(0.0105714\pi\) | |||||||
\(32\) | −5.15713 | + | 2.32466i | −0.911660 | + | 0.410946i | ||||
\(33\) | −0.482027 | + | 0.278298i | −0.0839101 | + | 0.0484455i | ||||
\(34\) | 3.27961 | − | 0.628756i | 0.562449 | − | 0.107831i | ||||
\(35\) | 0.170757 | + | 1.35703i | 0.0288632 | + | 0.229380i | ||||
\(36\) | 2.17070 | + | 5.45316i | 0.361784 | + | 0.908860i | ||||
\(37\) | 0.964060 | + | 0.258319i | 0.158491 | + | 0.0424674i | 0.337192 | − | 0.941436i | \(-0.390523\pi\) |
−0.178701 | + | 0.983903i | \(0.557190\pi\) | |||||||
\(38\) | 3.23957 | + | 6.68563i | 0.525528 | + | 1.08455i | ||||
\(39\) | 0.778033 | − | 1.34759i | 0.124585 | − | 0.215787i | ||||
\(40\) | 1.39404 | − | 0.441107i | 0.220417 | − | 0.0697451i | ||||
\(41\) | −1.98447 | −0.309923 | −0.154961 | − | 0.987921i | \(-0.549525\pi\) | ||||
−0.154961 | + | 0.987921i | \(0.549525\pi\) | |||||||
\(42\) | −0.198450 | + | 0.935624i | −0.0306215 | + | 0.144370i | ||||
\(43\) | 2.39322 | + | 2.39322i | 0.364963 | + | 0.364963i | 0.865636 | − | 0.500673i | \(-0.166914\pi\) |
−0.500673 | + | 0.865636i | \(0.666914\pi\) | |||||||
\(44\) | −0.508520 | − | 4.32510i | −0.0766622 | − | 0.652034i | ||||
\(45\) | −0.392650 | − | 1.46539i | −0.0585327 | − | 0.218447i | ||||
\(46\) | −4.76092 | − | 1.65301i | −0.701960 | − | 0.243722i | ||||
\(47\) | −4.72113 | − | 8.17724i | −0.688647 | − | 1.19277i | −0.972276 | − | 0.233838i | \(-0.924871\pi\) |
0.283628 | − | 0.958934i | \(-0.408462\pi\) | |||||||
\(48\) | 1.02208 | + | 0.0283454i | 0.147525 | + | 0.00409131i | ||||
\(49\) | 5.00611 | − | 4.89274i | 0.715158 | − | 0.698963i | ||||
\(50\) | 6.57342 | − | 1.26023i | 0.929622 | − | 0.178224i | ||||
\(51\) | −0.583019 | − | 0.156220i | −0.0816390 | − | 0.0218751i | ||||
\(52\) | 7.27699 | + | 9.76080i | 1.00914 | + | 1.35358i | ||||
\(53\) | 0.149454 | + | 0.557771i | 0.0205291 | + | 0.0766157i | 0.975430 | − | 0.220308i | \(-0.0707061\pi\) |
−0.954901 | + | 0.296923i | \(0.904039\pi\) | |||||||
\(54\) | 0.155150 | − | 2.13976i | 0.0211132 | − | 0.291185i | ||||
\(55\) | 1.12564i | 0.151781i | ||||||||
\(56\) | −6.10971 | − | 4.32104i | −0.816445 | − | 0.577423i | ||||
\(57\) | − | 1.34282i | − | 0.177861i | ||||||
\(58\) | −10.0223 | − | 0.726700i | −1.31600 | − | 0.0954204i | ||||
\(59\) | −2.51575 | − | 9.38891i | −0.327523 | − | 1.22233i | −0.911751 | − | 0.410743i | \(-0.865269\pi\) |
0.584229 | − | 0.811589i | \(-0.301397\pi\) | |||||||
\(60\) | −0.261522 | − | 0.0381253i | −0.0337623 | − | 0.00492195i | ||||
\(61\) | −3.54060 | − | 0.948702i | −0.453328 | − | 0.121469i | 0.0249283 | − | 0.999689i | \(-0.492064\pi\) |
−0.478256 | + | 0.878220i | \(0.658731\pi\) | |||||||
\(62\) | −1.39649 | − | 7.28415i | −0.177355 | − | 0.925088i | ||||
\(63\) | −4.76185 | + | 6.13273i | −0.599936 | + | 0.772651i | ||||
\(64\) | −3.36612 | + | 7.25736i | −0.420764 | + | 0.907170i | ||||
\(65\) | −1.57346 | − | 2.72531i | −0.195164 | − | 0.338034i | ||||
\(66\) | −0.258180 | + | 0.743601i | −0.0317798 | + | 0.0915310i | ||||
\(67\) | 1.34540 | + | 5.02111i | 0.164367 | + | 0.613427i | 0.998120 | + | 0.0612889i | \(0.0195211\pi\) |
−0.833753 | + | 0.552138i | \(0.813812\pi\) | |||||||
\(68\) | 2.92656 | − | 3.70643i | 0.354898 | − | 0.449471i | ||||
\(69\) | 0.644125 | + | 0.644125i | 0.0775435 | + | 0.0775435i | ||||
\(70\) | 1.43800 | + | 1.29365i | 0.171873 | + | 0.154621i | ||||
\(71\) | 9.49052 | 1.12632 | 0.563159 | − | 0.826349i | \(-0.309586\pi\) | ||||
0.563159 | + | 0.826349i | \(0.309586\pi\) | |||||||
\(72\) | 7.36652 | + | 3.82520i | 0.868153 | + | 0.450804i | ||||
\(73\) | 4.24351 | − | 7.34998i | 0.496666 | − | 0.860250i | −0.503327 | − | 0.864096i | \(-0.667891\pi\) |
0.999993 | + | 0.00384589i | \(0.00122419\pi\) | |||||||
\(74\) | 1.27022 | − | 0.615493i | 0.147660 | − | 0.0715496i | ||||
\(75\) | −1.16856 | − | 0.313115i | −0.134934 | − | 0.0361554i | ||||
\(76\) | 9.65000 | + | 4.15480i | 1.10693 | + | 0.476589i | ||||
\(77\) | 4.59050 | − | 3.48084i | 0.523136 | − | 0.396678i | ||||
\(78\) | −0.414347 | − | 2.16125i | −0.0469156 | − | 0.244713i | ||||
\(79\) | 1.71282 | − | 0.988896i | 0.192707 | − | 0.111260i | −0.400542 | − | 0.916278i | \(-0.631178\pi\) |
0.593249 | + | 0.805019i | \(0.297845\pi\) | |||||||
\(80\) | 1.08315 | − | 1.76143i | 0.121100 | − | 0.196934i | ||||
\(81\) | 4.20810 | − | 7.28864i | 0.467567 | − | 0.809849i | ||||
\(82\) | −2.12279 | + | 1.83577i | −0.234423 | + | 0.202726i | ||||
\(83\) | −0.925102 | − | 0.925102i | −0.101543 | − | 0.101543i | 0.654510 | − | 0.756053i | \(-0.272875\pi\) |
−0.756053 | + | 0.654510i | \(0.772875\pi\) | |||||||
\(84\) | 0.653230 | + | 1.18442i | 0.0712732 | + | 0.129230i | ||||
\(85\) | −0.863142 | + | 0.863142i | −0.0936209 | + | 0.0936209i | ||||
\(86\) | 4.77392 | + | 0.346147i | 0.514785 | + | 0.0373260i | ||||
\(87\) | 1.57296 | + | 0.908148i | 0.168639 | + | 0.0973636i | ||||
\(88\) | −4.54496 | − | 4.15615i | −0.484494 | − | 0.443047i | ||||
\(89\) | 7.40526 | + | 12.8263i | 0.784956 | + | 1.35958i | 0.929026 | + | 0.370015i | \(0.120648\pi\) |
−0.144070 | + | 0.989567i | \(0.546019\pi\) | |||||||
\(90\) | −1.77559 | − | 1.20430i | −0.187164 | − | 0.126944i | ||||
\(91\) | −6.24854 | + | 14.8443i | −0.655025 | + | 1.55611i | ||||
\(92\) | −6.62189 | + | 2.63594i | −0.690380 | + | 0.274815i | ||||
\(93\) | −0.346970 | + | 1.29491i | −0.0359791 | + | 0.134276i | ||||
\(94\) | −12.6147 | − | 4.37984i | −1.30110 | − | 0.451746i | ||||
\(95\) | −2.35183 | − | 1.35783i | −0.241293 | − | 0.139311i | ||||
\(96\) | 1.11954 | − | 0.915171i | 0.114263 | − | 0.0934042i | ||||
\(97\) | 10.2510i | 1.04083i | 0.853914 | + | 0.520414i | \(0.174222\pi\) | ||||
−0.853914 | + | 0.520414i | \(0.825778\pi\) | |||||||
\(98\) | 0.828938 | − | 9.86473i | 0.0837354 | − | 0.996488i | ||||
\(99\) | −4.51846 | + | 4.51846i | −0.454122 | + | 0.454122i | ||||
\(100\) | 5.86579 | − | 7.42890i | 0.586579 | − | 0.742890i | ||||
\(101\) | −8.59094 | + | 2.30194i | −0.854831 | + | 0.229051i | −0.659517 | − | 0.751690i | \(-0.729239\pi\) |
−0.195314 | + | 0.980741i | \(0.562572\pi\) | |||||||
\(102\) | −0.768168 | + | 0.372222i | −0.0760600 | + | 0.0368555i | ||||
\(103\) | −16.6175 | + | 9.59413i | −1.63737 | + | 0.945337i | −0.655639 | + | 0.755074i | \(0.727601\pi\) |
−0.981733 | + | 0.190263i | \(0.939066\pi\) | |||||||
\(104\) | 16.8135 | + | 3.70945i | 1.64870 | + | 0.363741i | ||||
\(105\) | −0.131941 | − | 0.323766i | −0.0128761 | − | 0.0315963i | ||||
\(106\) | 0.675844 | + | 0.458392i | 0.0656438 | + | 0.0445230i | ||||
\(107\) | −2.99921 | + | 11.1932i | −0.289944 | + | 1.08209i | 0.655206 | + | 0.755451i | \(0.272582\pi\) |
−0.945150 | + | 0.326637i | \(0.894085\pi\) | |||||||
\(108\) | −1.81345 | − | 2.43243i | −0.174499 | − | 0.234060i | ||||
\(109\) | 13.6656 | − | 3.66169i | 1.30893 | − | 0.350726i | 0.464108 | − | 0.885779i | \(-0.346375\pi\) |
0.844819 | + | 0.535053i | \(0.179708\pi\) | |||||||
\(110\) | 1.04129 | + | 1.20409i | 0.0992828 | + | 0.114806i | ||||
\(111\) | −0.255125 | −0.0242154 | ||||||||
\(112\) | −10.5328 | + | 1.02966i | −0.995256 | + | 0.0972935i | ||||
\(113\) | −8.82256 | −0.829956 | −0.414978 | − | 0.909831i | \(-0.636211\pi\) | ||||
−0.414978 | + | 0.909831i | \(0.636211\pi\) | |||||||
\(114\) | −1.24219 | − | 1.43641i | −0.116342 | − | 0.134533i | ||||
\(115\) | 1.77945 | − | 0.476803i | 0.165935 | − | 0.0444621i | ||||
\(116\) | −11.3931 | + | 8.49396i | −1.05783 | + | 0.788644i | ||||
\(117\) | 4.62369 | − | 17.2558i | 0.427460 | − | 1.59530i | ||||
\(118\) | −11.3764 | − | 7.71608i | −1.04729 | − | 0.710323i | ||||
\(119\) | 6.18912 | + | 0.850894i | 0.567356 | + | 0.0780014i | ||||
\(120\) | −0.315018 | + | 0.201142i | −0.0287571 | + | 0.0183616i | ||||
\(121\) | −5.42022 | + | 3.12936i | −0.492747 | + | 0.284488i | ||||
\(122\) | −4.66499 | + | 2.26046i | −0.422349 | + | 0.204652i | ||||
\(123\) | 0.489985 | − | 0.131291i | 0.0441804 | − | 0.0118381i | ||||
\(124\) | −8.23213 | − | 6.50001i | −0.739267 | − | 0.583718i | ||||
\(125\) | −3.55772 | + | 3.55772i | −0.318213 | + | 0.318213i | ||||
\(126\) | 0.579415 | + | 10.9652i | 0.0516184 | + | 0.976857i | ||||
\(127\) | 8.06202i | 0.715389i | 0.933839 | + | 0.357694i | \(0.116437\pi\) | ||||
−0.933839 | + | 0.357694i | \(0.883563\pi\) | |||||||
\(128\) | 3.11278 | + | 10.8771i | 0.275134 | + | 0.961406i | ||||
\(129\) | −0.749242 | − | 0.432575i | −0.0659671 | − | 0.0380861i | ||||
\(130\) | −4.20422 | − | 1.45972i | −0.368734 | − | 0.128026i | ||||
\(131\) | 5.16223 | − | 19.2657i | 0.451026 | − | 1.68325i | −0.248489 | − | 0.968635i | \(-0.579934\pi\) |
0.699515 | − | 0.714617i | \(-0.253399\pi\) | |||||||
\(132\) | 0.411703 | + | 1.03426i | 0.0358341 | + | 0.0900211i | ||||
\(133\) | 1.73521 | + | 13.7899i | 0.150462 | + | 1.19574i | ||||
\(134\) | 6.08403 | + | 4.12650i | 0.525580 | + | 0.356475i | ||||
\(135\) | 0.392112 | + | 0.679158i | 0.0337476 | + | 0.0584526i | ||||
\(136\) | −0.298140 | − | 6.67203i | −0.0255653 | − | 0.572121i | ||||
\(137\) | −0.573618 | − | 0.331179i | −0.0490075 | − | 0.0282945i | 0.475296 | − | 0.879826i | \(-0.342341\pi\) |
−0.524304 | + | 0.851531i | \(0.675674\pi\) | |||||||
\(138\) | 1.28488 | + | 0.0931638i | 0.109376 | + | 0.00793063i | ||||
\(139\) | 6.39898 | − | 6.39898i | 0.542754 | − | 0.542754i | −0.381581 | − | 0.924335i | \(-0.624620\pi\) |
0.924335 | + | 0.381581i | \(0.124620\pi\) | |||||||
\(140\) | 2.73493 | + | 0.0535817i | 0.231144 | + | 0.00452848i | ||||
\(141\) | 1.70669 | + | 1.70669i | 0.143729 | + | 0.143729i | ||||
\(142\) | 10.1520 | − | 8.77933i | 0.851937 | − | 0.736745i | ||||
\(143\) | −6.62754 | + | 11.4792i | −0.554222 | + | 0.959941i | ||||
\(144\) | 11.4185 | − | 2.72268i | 0.951543 | − | 0.226890i | ||||
\(145\) | 3.18108 | − | 1.83660i | 0.264175 | − | 0.152521i | ||||
\(146\) | −2.25991 | − | 11.7878i | −0.187032 | − | 0.975565i | ||||
\(147\) | −0.912354 | + | 1.53926i | −0.0752497 | + | 0.126956i | ||||
\(148\) | 0.789380 | − | 1.83342i | 0.0648867 | − | 0.150706i | ||||
\(149\) | 14.3722 | + | 3.85103i | 1.17742 | + | 0.315489i | 0.793903 | − | 0.608045i | \(-0.208046\pi\) |
0.383517 | + | 0.923534i | \(0.374713\pi\) | |||||||
\(150\) | −1.53966 | + | 0.746054i | −0.125713 | + | 0.0609151i | ||||
\(151\) | −3.73903 | + | 6.47620i | −0.304278 | + | 0.527025i | −0.977100 | − | 0.212779i | \(-0.931749\pi\) |
0.672822 | + | 0.739804i | \(0.265082\pi\) | |||||||
\(152\) | 14.1661 | − | 4.48247i | 1.14902 | − | 0.363576i | ||||
\(153\) | −6.92953 | −0.560219 | ||||||||
\(154\) | 1.69046 | − | 7.96995i | 0.136222 | − | 0.642237i | ||||
\(155\) | 1.91707 | + | 1.91707i | 0.153983 | + | 0.153983i | ||||
\(156\) | −2.44252 | − | 1.92859i | −0.195558 | − | 0.154411i | ||||
\(157\) | 1.51511 | + | 5.65448i | 0.120919 | + | 0.451277i | 0.999661 | − | 0.0260200i | \(-0.00828337\pi\) |
−0.878742 | + | 0.477297i | \(0.841617\pi\) | |||||||
\(158\) | 0.917410 | − | 2.64229i | 0.0729852 | − | 0.210209i | ||||
\(159\) | −0.0738032 | − | 0.127831i | −0.00585297 | − | 0.0101376i | ||||
\(160\) | −0.470784 | − | 2.88619i | −0.0372187 | − | 0.228173i | ||||
\(161\) | −7.44711 | − | 5.78242i | −0.586915 | − | 0.455719i | ||||
\(162\) | −2.24105 | − | 11.6894i | −0.176074 | − | 0.918407i | ||||
\(163\) | 4.50473 | + | 1.20704i | 0.352838 | + | 0.0945427i | 0.430885 | − | 0.902407i | \(-0.358202\pi\) |
−0.0780465 | + | 0.996950i | \(0.524868\pi\) | |||||||
\(164\) | −0.572551 | + | 3.92744i | −0.0447087 | + | 0.306681i | ||||
\(165\) | −0.0744712 | − | 0.277930i | −0.00579757 | − | 0.0216368i | ||||
\(166\) | −1.84536 | − | 0.133803i | −0.143228 | − | 0.0103852i | ||||
\(167\) | − | 9.03976i | − | 0.699518i | −0.936840 | − | 0.349759i | \(-0.886264\pi\) | ||
0.936840 | − | 0.349759i | \(-0.113736\pi\) | |||||||
\(168\) | 1.79442 | + | 0.662691i | 0.138443 | + | 0.0511277i | ||||
\(169\) | − | 24.0569i | − | 1.85053i | ||||||
\(170\) | −0.124842 | + | 1.72176i | −0.00957491 | + | 0.132053i | ||||
\(171\) | −3.99005 | − | 14.8911i | −0.305127 | − | 1.13875i | ||||
\(172\) | 5.42687 | − | 4.04590i | 0.413795 | − | 0.308497i | ||||
\(173\) | 17.8505 | + | 4.78302i | 1.35715 | + | 0.363646i | 0.862768 | − | 0.505601i | \(-0.168729\pi\) |
0.494378 | + | 0.869247i | \(0.335396\pi\) | |||||||
\(174\) | 2.52269 | − | 0.483641i | 0.191244 | − | 0.0366647i | ||||
\(175\) | 12.4050 | + | 1.70547i | 0.937731 | + | 0.128921i | ||||
\(176\) | −8.70644 | − | 0.241455i | −0.656273 | − | 0.0182004i | ||||
\(177\) | 1.24232 | + | 2.15177i | 0.0933787 | + | 0.161737i | ||||
\(178\) | 19.7865 | + | 6.86994i | 1.48306 | + | 0.514923i | ||||
\(179\) | −4.27373 | − | 15.9498i | −0.319434 | − | 1.19214i | −0.919790 | − | 0.392410i | \(-0.871641\pi\) |
0.600357 | − | 0.799732i | \(-0.295025\pi\) | |||||||
\(180\) | −3.01341 | + | 0.354298i | −0.224606 | + | 0.0264078i | ||||
\(181\) | −14.1744 | − | 14.1744i | −1.05358 | − | 1.05358i | −0.998481 | − | 0.0550958i | \(-0.982454\pi\) |
−0.0550958 | − | 0.998481i | \(-0.517546\pi\) | |||||||
\(182\) | 7.04788 | + | 21.6593i | 0.522424 | + | 1.60549i | ||||
\(183\) | 0.936972 | 0.0692630 | ||||||||
\(184\) | −4.64503 | + | 8.94533i | −0.342436 | + | 0.659459i | ||||
\(185\) | −0.257977 | + | 0.446830i | −0.0189669 | + | 0.0328516i | ||||
\(186\) | 0.826719 | + | 1.70613i | 0.0606180 | + | 0.125100i | ||||
\(187\) | 4.96635 | + | 1.33073i | 0.363175 | + | 0.0973125i | ||||
\(188\) | −17.5455 | + | 6.98424i | −1.27964 | + | 0.509378i | ||||
\(189\) | 1.55716 | − | 3.69926i | 0.113267 | − | 0.269082i | ||||
\(190\) | −3.77184 | + | 0.723123i | −0.273638 | + | 0.0524609i | ||||
\(191\) | 13.1853 | − | 7.61255i | 0.954057 | − | 0.550825i | 0.0597182 | − | 0.998215i | \(-0.480980\pi\) |
0.894339 | + | 0.447390i | \(0.147646\pi\) | |||||||
\(192\) | 0.350984 | − | 2.01461i | 0.0253301 | − | 0.145392i | ||||
\(193\) | −8.10289 | + | 14.0346i | −0.583259 | + | 1.01023i | 0.411831 | + | 0.911260i | \(0.364889\pi\) |
−0.995090 | + | 0.0989740i | \(0.968444\pi\) | |||||||
\(194\) | 9.48280 | + | 10.9655i | 0.680825 | + | 0.787274i | ||||
\(195\) | 0.568806 | + | 0.568806i | 0.0407330 | + | 0.0407330i | ||||
\(196\) | −8.23878 | − | 11.3191i | −0.588485 | − | 0.808508i | ||||
\(197\) | −4.72370 | + | 4.72370i | −0.336549 | + | 0.336549i | −0.855067 | − | 0.518518i | \(-0.826484\pi\) |
0.518518 | + | 0.855067i | \(0.326484\pi\) | |||||||
\(198\) | −0.653533 | + | 9.01325i | −0.0464445 | + | 0.640544i | ||||
\(199\) | −6.13578 | − | 3.54249i | −0.434954 | − | 0.251121i | 0.266501 | − | 0.963835i | \(-0.414132\pi\) |
−0.701455 | + | 0.712714i | \(0.747466\pi\) | |||||||
\(200\) | −0.597571 | − | 13.3729i | −0.0422546 | − | 0.945608i | ||||
\(201\) | −0.664385 | − | 1.15075i | −0.0468621 | − | 0.0811675i | ||||
\(202\) | −7.06029 | + | 10.4095i | −0.496760 | + | 0.732413i | ||||
\(203\) | −17.3268 | − | 7.29352i | −1.21611 | − | 0.511905i | ||||
\(204\) | −0.477381 | + | 1.10877i | −0.0334233 | + | 0.0776294i | ||||
\(205\) | 0.265517 | − | 0.990925i | 0.0185445 | − | 0.0692092i | ||||
\(206\) | −8.90057 | + | 25.6351i | −0.620132 | + | 1.78608i | ||||
\(207\) | 9.05691 | + | 5.22901i | 0.629499 | + | 0.363441i | ||||
\(208\) | 21.4169 | − | 11.5856i | 1.48500 | − | 0.803317i | ||||
\(209\) | 11.4386i | 0.791223i | ||||||||
\(210\) | −0.440641 | − | 0.224278i | −0.0304071 | − | 0.0154766i | ||||
\(211\) | 11.4688 | − | 11.4688i | 0.789545 | − | 0.789545i | −0.191874 | − | 0.981420i | \(-0.561457\pi\) |
0.981420 | + | 0.191874i | \(0.0614565\pi\) | |||||||
\(212\) | 1.14699 | − | 0.134857i | 0.0787758 | − | 0.00926199i | ||||
\(213\) | −2.34329 | + | 0.627884i | −0.160560 | + | 0.0430219i | ||||
\(214\) | 7.14617 | + | 14.7478i | 0.488502 | + | 1.00814i | ||||
\(215\) | −1.51524 | + | 0.874822i | −0.103338 | + | 0.0596624i | ||||
\(216\) | −4.19000 | − | 0.924407i | −0.285093 | − | 0.0628980i | ||||
\(217\) | 1.88987 | − | 13.7463i | 0.128293 | − | 0.933158i | ||||
\(218\) | 11.2308 | − | 16.5584i | 0.760645 | − | 1.12148i | ||||
\(219\) | −0.561494 | + | 2.09552i | −0.0379422 | + | 0.141602i | ||||
\(220\) | 2.22773 | + | 0.324764i | 0.150193 | + | 0.0218956i | ||||
\(221\) | −13.8843 | + | 3.72029i | −0.933960 | + | 0.250254i | ||||
\(222\) | −0.272907 | + | 0.236007i | −0.0183164 | + | 0.0158398i | ||||
\(223\) | 8.27735 | 0.554293 | 0.277146 | − | 0.960828i | \(-0.410611\pi\) | ||||
0.277146 | + | 0.960828i | \(0.410611\pi\) | |||||||
\(224\) | −10.3144 | + | 10.8449i | −0.689162 | + | 0.724607i | ||||
\(225\) | −13.8890 | −0.925936 | ||||||||
\(226\) | −9.43749 | + | 8.16143i | −0.627772 | + | 0.542890i | ||||
\(227\) | −6.69231 | + | 1.79320i | −0.444184 | + | 0.119019i | −0.473977 | − | 0.880537i | \(-0.657182\pi\) |
0.0297926 | + | 0.999556i | \(0.490515\pi\) | |||||||
\(228\) | −2.65755 | − | 0.387424i | −0.176001 | − | 0.0256578i | ||||
\(229\) | 0.547125 | − | 2.04190i | 0.0361550 | − | 0.134932i | −0.945489 | − | 0.325653i | \(-0.894416\pi\) |
0.981644 | + | 0.190721i | \(0.0610825\pi\) | |||||||
\(230\) | 1.46241 | − | 2.15614i | 0.0964283 | − | 0.142172i | ||||
\(231\) | −0.903148 | + | 1.16315i | −0.0594227 | + | 0.0765299i | ||||
\(232\) | −4.32980 | + | 19.6254i | −0.284265 | + | 1.28847i | ||||
\(233\) | −16.7919 | + | 9.69482i | −1.10008 | + | 0.635129i | −0.936241 | − | 0.351359i | \(-0.885720\pi\) |
−0.163835 | + | 0.986488i | \(0.552386\pi\) | |||||||
\(234\) | −11.0168 | − | 22.7358i | −0.720190 | − | 1.48628i | ||||
\(235\) | 4.71488 | − | 1.26335i | 0.307565 | − | 0.0824118i | ||||
\(236\) | −19.3072 | + | 2.27003i | −1.25679 | + | 0.147766i | ||||
\(237\) | −0.357486 | + | 0.357486i | −0.0232212 | + | 0.0232212i | ||||
\(238\) | 7.40763 | − | 4.81513i | 0.480165 | − | 0.312118i | ||||
\(239\) | 12.1419i | 0.785396i | 0.919668 | + | 0.392698i | \(0.128458\pi\) | ||||
−0.919668 | + | 0.392698i | \(0.871542\pi\) | |||||||
\(240\) | −0.150906 | + | 0.506573i | −0.00974094 | + | 0.0326991i | ||||
\(241\) | 10.8672 | + | 6.27418i | 0.700018 | + | 0.404156i | 0.807354 | − | 0.590067i | \(-0.200899\pi\) |
−0.107336 | + | 0.994223i | \(0.534232\pi\) | |||||||
\(242\) | −2.90314 | + | 8.36152i | −0.186621 | + | 0.537499i | ||||
\(243\) | −1.73470 | + | 6.47400i | −0.111281 | + | 0.415307i | ||||
\(244\) | −2.89908 | + | 6.73342i | −0.185594 | + | 0.431063i | ||||
\(245\) | 1.77333 | + | 3.15438i | 0.113294 | + | 0.201526i | ||||
\(246\) | 0.402684 | − | 0.593709i | 0.0256742 | − | 0.0378535i | ||||
\(247\) | −15.9893 | − | 27.6943i | −1.01737 | − | 1.76214i | ||||
\(248\) | −14.8188 | + | 0.662182i | −0.940997 | + | 0.0420486i | ||||
\(249\) | 0.289620 | + | 0.167212i | 0.0183539 | + | 0.0105966i | ||||
\(250\) | −0.514576 | + | 7.09682i | −0.0325446 | + | 0.448842i | ||||
\(251\) | 18.2170 | − | 18.2170i | 1.14985 | − | 1.14985i | 0.163266 | − | 0.986582i | \(-0.447797\pi\) |
0.986582 | − | 0.163266i | \(-0.0522030\pi\) | |||||||
\(252\) | 10.7633 | + | 11.1935i | 0.678024 | + | 0.705122i | ||||
\(253\) | −5.48686 | − | 5.48686i | −0.344956 | − | 0.344956i | ||||
\(254\) | 7.45788 | + | 8.62394i | 0.467949 | + | 0.541114i | ||||
\(255\) | 0.156013 | − | 0.270222i | 0.00976990 | − | 0.0169220i | ||||
\(256\) | 13.3917 | + | 8.75567i | 0.836983 | + | 0.547229i | ||||
\(257\) | −16.5971 | + | 9.58232i | −1.03530 | + | 0.597729i | −0.918497 | − | 0.395427i | \(-0.870597\pi\) |
−0.116799 | + | 0.993156i | \(0.537263\pi\) | |||||||
\(258\) | −1.20162 | + | 0.230371i | −0.0748098 | + | 0.0143423i | ||||
\(259\) | 2.61998 | − | 0.329676i | 0.162798 | − | 0.0204851i | ||||
\(260\) | −5.84758 | + | 2.32771i | −0.362652 | + | 0.144359i | ||||
\(261\) | 20.1416 | + | 5.39693i | 1.24674 | + | 0.334062i | ||||
\(262\) | −12.3000 | − | 25.3839i | −0.759894 | − | 1.56822i | ||||
\(263\) | −4.71812 | + | 8.17202i | −0.290932 | + | 0.503909i | −0.974030 | − | 0.226418i | \(-0.927299\pi\) |
0.683099 | + | 0.730326i | \(0.260632\pi\) | |||||||
\(264\) | 1.39716 | + | 0.725500i | 0.0859891 | + | 0.0446514i | ||||
\(265\) | −0.298513 | −0.0183375 | ||||||||
\(266\) | 14.6127 | + | 13.1459i | 0.895964 | + | 0.806028i | ||||
\(267\) | −2.67700 | − | 2.67700i | −0.163830 | − | 0.163830i | ||||
\(268\) | 10.3254 | − | 1.21399i | 0.630722 | − | 0.0741565i | ||||
\(269\) | 4.77027 | + | 17.8029i | 0.290848 | + | 1.08546i | 0.944459 | + | 0.328629i | \(0.106587\pi\) |
−0.653611 | + | 0.756831i | \(0.726747\pi\) | |||||||
\(270\) | 1.04771 | + | 0.363767i | 0.0637614 | + | 0.0221381i | ||||
\(271\) | −3.81382 | − | 6.60573i | −0.231673 | − | 0.401269i | 0.726628 | − | 0.687032i | \(-0.241087\pi\) |
−0.958301 | + | 0.285762i | \(0.907753\pi\) | |||||||
\(272\) | −6.49097 | − | 6.86126i | −0.393573 | − | 0.416025i | ||||
\(273\) | 0.560735 | − | 4.07860i | 0.0339372 | − | 0.246848i | ||||
\(274\) | −0.919961 | + | 0.176372i | −0.0555769 | + | 0.0106550i | ||||
\(275\) | 9.95419 | + | 2.66722i | 0.600260 | + | 0.160839i | ||||
\(276\) | 1.46061 | − | 1.08893i | 0.0879186 | − | 0.0655462i | ||||
\(277\) | −4.58537 | − | 17.1128i | −0.275508 | − | 1.02821i | −0.955500 | − | 0.294990i | \(-0.904684\pi\) |
0.679992 | − | 0.733219i | \(-0.261983\pi\) | |||||||
\(278\) | 0.925524 | − | 12.7644i | 0.0555092 | − | 0.765560i | ||||
\(279\) | 15.3908i | 0.921420i | ||||||||
\(280\) | 2.97513 | − | 2.47267i | 0.177798 | − | 0.147770i | ||||
\(281\) | 14.1841i | 0.846155i | 0.906094 | + | 0.423077i | \(0.139050\pi\) | ||||
−0.906094 | + | 0.423077i | \(0.860950\pi\) | |||||||
\(282\) | 3.40444 | + | 0.246849i | 0.202731 | + | 0.0146996i | ||||
\(283\) | 1.39051 | + | 5.18945i | 0.0826571 | + | 0.308481i | 0.994860 | − | 0.101258i | \(-0.0322867\pi\) |
−0.912203 | + | 0.409738i | \(0.865620\pi\) | |||||||
\(284\) | 2.73816 | − | 18.7825i | 0.162480 | − | 1.11454i | ||||
\(285\) | 0.670522 | + | 0.179666i | 0.0397183 | + | 0.0106425i | ||||
\(286\) | 3.52954 | + | 18.4102i | 0.208706 | + | 1.08862i | ||||
\(287\) | −4.86219 | + | 1.98144i | −0.287006 | + | 0.116961i | ||||
\(288\) | 9.69573 | − | 13.4753i | 0.571327 | − | 0.794040i | ||||
\(289\) | −5.71220 | − | 9.89382i | −0.336012 | − | 0.581989i | ||||
\(290\) | 1.70383 | − | 4.90731i | 0.100053 | − | 0.288167i | ||||
\(291\) | −0.678195 | − | 2.53106i | −0.0397565 | − | 0.148373i | ||||
\(292\) | −13.3219 | − | 10.5188i | −0.779604 | − | 0.615568i | ||||
\(293\) | 8.22483 | + | 8.22483i | 0.480500 | + | 0.480500i | 0.905291 | − | 0.424791i | \(-0.139653\pi\) |
−0.424791 | + | 0.905291i | \(0.639653\pi\) | |||||||
\(294\) | 0.447969 | + | 2.49053i | 0.0261261 | + | 0.145251i | ||||
\(295\) | 5.02484 | 0.292558 | ||||||||
\(296\) | −0.851633 | − | 2.69144i | −0.0495002 | − | 0.156437i | ||||
\(297\) | 1.65161 | − | 2.86067i | 0.0958359 | − | 0.165993i | ||||
\(298\) | 18.9364 | − | 9.17579i | 1.09696 | − | 0.531539i | ||||
\(299\) | 20.9542 | + | 5.61465i | 1.21181 | + | 0.324703i | ||||
\(300\) | −0.956827 | + | 2.22234i | −0.0552424 | + | 0.128307i | ||||
\(301\) | 8.25324 | + | 3.47410i | 0.475709 | + | 0.200244i | ||||
\(302\) | 1.99125 | + | 10.3864i | 0.114584 | + | 0.597672i | ||||
\(303\) | 1.96889 | − | 1.13674i | 0.113110 | − | 0.0653039i | ||||
\(304\) | 11.0069 | − | 17.8994i | 0.631287 | − | 1.02660i | ||||
\(305\) | 0.947447 | − | 1.64103i | 0.0542506 | − | 0.0939649i | ||||
\(306\) | −7.41251 | + | 6.41025i | −0.423745 | + | 0.366450i | ||||
\(307\) | −10.1445 | − | 10.1445i | −0.578977 | − | 0.578977i | 0.355644 | − | 0.934621i | \(-0.384261\pi\) |
−0.934621 | + | 0.355644i | \(0.884261\pi\) | |||||||
\(308\) | −5.56442 | − | 10.0892i | −0.317062 | − | 0.574888i | ||||
\(309\) | 3.46828 | − | 3.46828i | 0.197303 | − | 0.197303i | ||||
\(310\) | 3.82411 | + | 0.277278i | 0.217195 | + | 0.0157483i | ||||
\(311\) | 23.9697 | + | 13.8389i | 1.35920 | + | 0.784734i | 0.989516 | − | 0.144424i | \(-0.0461329\pi\) |
0.369683 | + | 0.929158i | \(0.379466\pi\) | |||||||
\(312\) | −4.39683 | + | 0.196473i | −0.248921 | + | 0.0111231i | ||||
\(313\) | 10.1166 | + | 17.5225i | 0.571826 | + | 0.990431i | 0.996379 | + | 0.0850279i | \(0.0270979\pi\) |
−0.424553 | + | 0.905403i | \(0.639569\pi\) | |||||||
\(314\) | 6.85147 | + | 4.64702i | 0.386651 | + | 0.262247i | ||||
\(315\) | −2.42518 | − | 3.19832i | −0.136644 | − | 0.180205i | ||||
\(316\) | −1.46293 | − | 3.67512i | −0.0822963 | − | 0.206742i | ||||
\(317\) | 2.36566 | − | 8.82875i | 0.132868 | − | 0.495872i | −0.867129 | − | 0.498083i | \(-0.834037\pi\) |
0.999998 | + | 0.00221166i | \(0.000703994\pi\) | |||||||
\(318\) | −0.197199 | − | 0.0684680i | −0.0110584 | − | 0.00383950i | ||||
\(319\) | −13.3990 | − | 7.73590i | −0.750198 | − | 0.433127i | ||||
\(320\) | −3.17350 | − | 2.65185i | −0.177404 | − | 0.148243i | ||||
\(321\) | − | 2.96213i | − | 0.165330i | ||||||
\(322\) | −13.3153 | + | 0.703597i | −0.742031 | + | 0.0392099i | ||||
\(323\) | −8.77113 | + | 8.77113i | −0.488039 | + | 0.488039i | ||||
\(324\) | −13.2107 | − | 10.4311i | −0.733928 | − | 0.579503i | ||||
\(325\) | −27.8287 | + | 7.45668i | −1.54366 | + | 0.413622i | ||||
\(326\) | 5.93530 | − | 2.87600i | 0.328726 | − | 0.159287i | ||||
\(327\) | −3.13191 | + | 1.80821i | −0.173195 | + | 0.0999941i | ||||
\(328\) | 3.02067 | + | 4.73082i | 0.166789 | + | 0.261216i | ||||
\(329\) | −19.7320 | − | 15.3212i | −1.08786 | − | 0.844687i | ||||
\(330\) | −0.336765 | − | 0.228411i | −0.0185383 | − | 0.0125736i | ||||
\(331\) | −7.22999 | + | 26.9827i | −0.397396 | + | 1.48310i | 0.420264 | + | 0.907402i | \(0.361937\pi\) |
−0.817661 | + | 0.575701i | \(0.804729\pi\) | |||||||
\(332\) | −2.09776 | + | 1.56395i | −0.115129 | + | 0.0858327i | ||||
\(333\) | −2.82919 | + | 0.758079i | −0.155039 | + | 0.0415424i | ||||
\(334\) | −8.36235 | − | 9.66983i | −0.457567 | − | 0.529109i | ||||
\(335\) | −2.68725 | −0.146820 | ||||||||
\(336\) | 2.53252 | − | 0.951072i | 0.138160 | − | 0.0518852i | ||||
\(337\) | 36.5503 | 1.99102 | 0.995510 | − | 0.0946549i | \(-0.0301748\pi\) | ||||
0.995510 | + | 0.0946549i | \(0.0301748\pi\) | |||||||
\(338\) | −22.2542 | − | 25.7337i | −1.21047 | − | 1.39973i | ||||
\(339\) | 2.17837 | − | 0.583692i | 0.118313 | − | 0.0317018i | ||||
\(340\) | 1.45920 | + | 1.95726i | 0.0791361 | + | 0.106147i | ||||
\(341\) | 2.95560 | − | 11.0305i | 0.160055 | − | 0.597333i | ||||
\(342\) | −18.0433 | − | 12.2379i | −0.975672 | − | 0.661751i | ||||
\(343\) | 7.38027 | − | 16.9862i | 0.398497 | − | 0.917170i | ||||
\(344\) | 2.06240 | − | 9.34810i | 0.111197 | − | 0.504016i | ||||
\(345\) | −0.407818 | + | 0.235454i | −0.0219562 | + | 0.0126764i | ||||
\(346\) | 23.5192 | − | 11.3964i | 1.26440 | − | 0.612676i | ||||
\(347\) | −25.7539 | + | 6.90075i | −1.38254 | + | 0.370452i | −0.872045 | − | 0.489426i | \(-0.837206\pi\) |
−0.510500 | + | 0.859878i | \(0.670540\pi\) | |||||||
\(348\) | 2.25112 | − | 2.85100i | 0.120673 | − | 0.152829i | ||||
\(349\) | −1.81441 | + | 1.81441i | −0.0971229 | + | 0.0971229i | −0.753999 | − | 0.656876i | \(-0.771878\pi\) |
0.656876 | + | 0.753999i | \(0.271878\pi\) | |||||||
\(350\) | 14.8473 | − | 9.65109i | 0.793622 | − | 0.515872i | ||||
\(351\) | 9.23472i | 0.492913i | ||||||||
\(352\) | −9.53664 | + | 7.79572i | −0.508304 | + | 0.415513i | ||||
\(353\) | 12.0310 | + | 6.94611i | 0.640346 | + | 0.369704i | 0.784748 | − | 0.619815i | \(-0.212792\pi\) |
−0.144402 | + | 0.989519i | \(0.546126\pi\) | |||||||
\(354\) | 3.31943 | + | 1.15252i | 0.176426 | + | 0.0612556i | ||||
\(355\) | −1.26981 | + | 4.73898i | −0.0673943 | + | 0.251519i | ||||
\(356\) | 27.5208 | − | 10.9550i | 1.45860 | − | 0.580615i | ||||
\(357\) | −1.58444 | + | 0.199373i | −0.0838577 | + | 0.0105519i | ||||
\(358\) | −19.3262 | − | 13.1080i | −1.02142 | − | 0.692780i | ||||
\(359\) | 1.13190 | + | 1.96051i | 0.0597393 | + | 0.103472i | 0.894348 | − | 0.447371i | \(-0.147640\pi\) |
−0.834609 | + | 0.550843i | \(0.814306\pi\) | |||||||
\(360\) | −2.89569 | + | 3.16659i | −0.152616 | + | 0.166894i | ||||
\(361\) | −7.44453 | − | 4.29810i | −0.391817 | − | 0.226216i | ||||
\(362\) | −28.2746 | − | 2.05014i | −1.48608 | − | 0.107753i | ||||
\(363\) | 1.13126 | − | 1.13126i | 0.0593760 | − | 0.0593760i | ||||
\(364\) | 27.5753 | + | 16.6492i | 1.44534 | + | 0.872654i | ||||
\(365\) | 3.10236 | + | 3.10236i | 0.162385 | + | 0.162385i | ||||
\(366\) | 1.00228 | − | 0.866759i | 0.0523900 | − | 0.0453062i | ||||
\(367\) | −3.26744 | + | 5.65938i | −0.170559 | + | 0.295417i | −0.938615 | − | 0.344965i | \(-0.887891\pi\) |
0.768056 | + | 0.640382i | \(0.221224\pi\) | |||||||
\(368\) | 3.30621 | + | 13.8658i | 0.172348 | + | 0.722803i | ||||
\(369\) | 5.04352 | − | 2.91188i | 0.262555 | − | 0.151586i | ||||
\(370\) | 0.137388 | + | 0.716619i | 0.00714245 | + | 0.0372553i | ||||
\(371\) | 0.923098 | + | 1.21738i | 0.0479249 | + | 0.0632030i | ||||
\(372\) | 2.46262 | + | 1.06028i | 0.127681 | + | 0.0549731i | ||||
\(373\) | −3.40480 | − | 0.912313i | −0.176294 | − | 0.0472378i | 0.169592 | − | 0.985514i | \(-0.445755\pi\) |
−0.345886 | + | 0.938277i | \(0.612422\pi\) | |||||||
\(374\) | 6.54351 | − | 3.17071i | 0.338357 | − | 0.163953i | ||||
\(375\) | 0.643059 | − | 1.11381i | 0.0332074 | − | 0.0575169i | ||||
\(376\) | −12.3076 | + | 23.7018i | −0.634715 | + | 1.22232i | ||||
\(377\) | 43.2542 | 2.22770 | ||||||||
\(378\) | −1.75636 | − | 5.39757i | −0.0903373 | − | 0.277621i | ||||
\(379\) | 4.04684 | + | 4.04684i | 0.207872 | + | 0.207872i | 0.803362 | − | 0.595490i | \(-0.203042\pi\) |
−0.595490 | + | 0.803362i | \(0.703042\pi\) | |||||||
\(380\) | −3.36580 | + | 4.26271i | −0.172662 | + | 0.218673i | ||||
\(381\) | −0.533376 | − | 1.99059i | −0.0273257 | − | 0.101981i | ||||
\(382\) | 7.06225 | − | 20.3404i | 0.361336 | − | 1.04071i | ||||
\(383\) | −5.28313 | − | 9.15066i | −0.269956 | − | 0.467577i | 0.698895 | − | 0.715225i | \(-0.253676\pi\) |
−0.968850 | + | 0.247648i | \(0.920342\pi\) | |||||||
\(384\) | −1.48819 | − | 2.47971i | −0.0759440 | − | 0.126542i | ||||
\(385\) | 1.12392 | + | 2.75794i | 0.0572802 | + | 0.140558i | ||||
\(386\) | 4.31525 | + | 22.5085i | 0.219641 | + | 1.14565i | ||||
\(387\) | −9.59400 | − | 2.57071i | −0.487691 | − | 0.130676i | ||||
\(388\) | 20.2875 | + | 2.95756i | 1.02994 | + | 0.150147i | ||||
\(389\) | 3.13038 | + | 11.6827i | 0.158717 | + | 0.592339i | 0.998758 | + | 0.0498169i | \(0.0158638\pi\) |
−0.840042 | + | 0.542522i | \(0.817470\pi\) | |||||||
\(390\) | 1.13463 | + | 0.0822700i | 0.0574544 | + | 0.00416590i | ||||
\(391\) | − | 8.41468i | − | 0.425549i | ||||||
\(392\) | −19.2839 | − | 4.48666i | −0.973985 | − | 0.226610i | ||||
\(393\) | 5.09840i | 0.257180i | ||||||||
\(394\) | −0.683218 | + | 9.42266i | −0.0344200 | + | 0.474707i | ||||
\(395\) | 0.264623 | + | 0.987588i | 0.0133147 | + | 0.0496910i | ||||
\(396\) | 7.63875 | + | 10.2460i | 0.383861 | + | 0.514883i | ||||
\(397\) | −12.4921 | − | 3.34726i | −0.626963 | − | 0.167994i | −0.0686717 | − | 0.997639i | \(-0.521876\pi\) |
−0.558291 | + | 0.829645i | \(0.688543\pi\) | |||||||
\(398\) | −9.84047 | + | 1.88658i | −0.493258 | + | 0.0945657i | ||||
\(399\) | −1.34077 | − | 3.29006i | −0.0671224 | − | 0.164709i | ||||
\(400\) | −13.0100 | − | 13.7522i | −0.650501 | − | 0.687611i | ||||
\(401\) | −14.8962 | − | 25.8009i | −0.743880 | − | 1.28844i | −0.950716 | − | 0.310062i | \(-0.899650\pi\) |
0.206837 | − | 0.978376i | \(-0.433683\pi\) | |||||||
\(402\) | −1.77521 | − | 0.616357i | −0.0885393 | − | 0.0307411i | ||||
\(403\) | 8.26291 | + | 30.8376i | 0.411605 | + | 1.53613i | ||||
\(404\) | 2.07710 | + | 17.6663i | 0.103340 | + | 0.878932i | ||||
\(405\) | 3.07647 | + | 3.07647i | 0.152871 | + | 0.152871i | ||||
\(406\) | −25.2815 | + | 8.22654i | −1.25470 | + | 0.408276i | ||||
\(407\) | 2.17324 | 0.107724 | ||||||||
\(408\) | 0.515029 | + | 1.62766i | 0.0254977 | + | 0.0805811i | ||||
\(409\) | 0.946108 | − | 1.63871i | 0.0467820 | − | 0.0810289i | −0.841686 | − | 0.539967i | \(-0.818437\pi\) |
0.888468 | + | 0.458938i | \(0.151770\pi\) | |||||||
\(410\) | −0.632644 | − | 1.30561i | −0.0312441 | − | 0.0644796i | ||||
\(411\) | 0.163542 | + | 0.0438210i | 0.00806693 | + | 0.00216153i | ||||
\(412\) | 14.1931 | + | 35.6554i | 0.699246 | + | 1.75662i | ||||
\(413\) | −15.5384 | − | 20.4920i | −0.764596 | − | 1.00834i | ||||
\(414\) | 14.5253 | − | 2.78475i | 0.713881 | − | 0.136863i | ||||
\(415\) | 0.585716 | − | 0.338163i | 0.0287516 | − | 0.0165998i | ||||
\(416\) | 12.1923 | − | 32.2051i | 0.597774 | − | 1.57899i | ||||
\(417\) | −1.15661 | + | 2.00332i | −0.0566397 | + | 0.0981028i | ||||
\(418\) | 10.5814 | + | 12.2358i | 0.517554 | + | 0.598475i | ||||
\(419\) | 12.0009 | + | 12.0009i | 0.586284 | + | 0.586284i | 0.936623 | − | 0.350339i | \(-0.113934\pi\) |
−0.350339 | + | 0.936623i | \(0.613934\pi\) | |||||||
\(420\) | −0.678825 | + | 0.167711i | −0.0331233 | + | 0.00818346i | ||||
\(421\) | −15.6668 | + | 15.6668i | −0.763554 | + | 0.763554i | −0.976963 | − | 0.213409i | \(-0.931543\pi\) |
0.213409 | + | 0.976963i | \(0.431543\pi\) | |||||||
\(422\) | 1.65881 | − | 22.8776i | 0.0807494 | − | 1.11366i | ||||
\(423\) | 23.9974 | + | 13.8549i | 1.16679 | + | 0.673648i | ||||
\(424\) | 1.10219 | − | 1.20530i | 0.0535269 | − | 0.0585344i | ||||
\(425\) | 5.58766 | + | 9.67812i | 0.271042 | + | 0.469458i | ||||
\(426\) | −1.92579 | + | 2.83934i | −0.0933048 | + | 0.137567i | ||||
\(427\) | −9.62213 | + | 1.21077i | −0.465648 | + | 0.0585931i | ||||
\(428\) | 21.2869 | + | 9.16508i | 1.02894 | + | 0.443011i | ||||
\(429\) | 0.876944 | − | 3.27280i | 0.0423392 | − | 0.158012i | ||||
\(430\) | −0.811582 | + | 2.33749i | −0.0391380 | + | 0.112724i | ||||
\(431\) | −20.0635 | − | 11.5837i | −0.966427 | − | 0.557967i | −0.0682816 | − | 0.997666i | \(-0.521752\pi\) |
−0.898145 | + | 0.439699i | \(0.855085\pi\) | |||||||
\(432\) | −5.33717 | + | 2.88717i | −0.256785 | + | 0.138909i | ||||
\(433\) | − | 32.5292i | − | 1.56325i | −0.623746 | − | 0.781627i | \(-0.714390\pi\) | ||
0.623746 | − | 0.781627i | \(-0.285610\pi\) | |||||||
\(434\) | −10.6946 | − | 16.4526i | −0.513357 | − | 0.789752i | ||||
\(435\) | −0.663931 | + | 0.663931i | −0.0318330 | + | 0.0318330i | ||||
\(436\) | −3.30404 | − | 28.1018i | −0.158235 | − | 1.34583i | ||||
\(437\) | 18.0826 | − | 4.84521i | 0.865007 | − | 0.231778i | ||||
\(438\) | 1.33786 | + | 2.76100i | 0.0639255 | + | 0.131926i | ||||
\(439\) | −25.4654 | + | 14.7025i | −1.21540 | + | 0.701711i | −0.963930 | − | 0.266154i | \(-0.914247\pi\) |
−0.251469 | + | 0.967865i | \(0.580914\pi\) | |||||||
\(440\) | 2.68343 | − | 1.71339i | 0.127927 | − | 0.0816827i | ||||
\(441\) | −5.54371 | + | 19.7805i | −0.263986 | + | 0.941926i | ||||
\(442\) | −11.4105 | + | 16.8235i | −0.542744 | + | 0.800210i | ||||
\(443\) | 3.68306 | − | 13.7454i | 0.174987 | − | 0.653062i | −0.821566 | − | 0.570113i | \(-0.806899\pi\) |
0.996554 | − | 0.0829491i | \(-0.0264339\pi\) | |||||||
\(444\) | −0.0736075 | + | 0.504914i | −0.00349326 | + | 0.0239621i | ||||
\(445\) | −7.39546 | + | 1.98161i | −0.350578 | + | 0.0939372i | ||||
\(446\) | 8.85428 | − | 7.65708i | 0.419262 | − | 0.362573i | ||||
\(447\) | −3.80342 | −0.179895 | ||||||||
\(448\) | −1.00109 | + | 21.1423i | −0.0472973 | + | 0.998881i | ||||
\(449\) | 4.02168 | 0.189795 | 0.0948974 | − | 0.995487i | \(-0.469748\pi\) | ||||
0.0948974 | + | 0.995487i | \(0.469748\pi\) | |||||||
\(450\) | −14.8571 | + | 12.8482i | −0.700370 | + | 0.605672i | ||||
\(451\) | −4.17385 | + | 1.11838i | −0.196539 | + | 0.0526625i | ||||
\(452\) | −2.54544 | + | 17.4605i | −0.119727 | + | 0.821275i | ||||
\(453\) | 0.494742 | − | 1.84640i | 0.0232450 | − | 0.0867516i | ||||
\(454\) | −5.49994 | + | 8.10900i | −0.258125 | + | 0.380574i | ||||
\(455\) | −6.57631 | − | 5.10627i | −0.308302 | − | 0.239386i | ||||
\(456\) | −3.20117 | + | 2.04397i | −0.149909 | + | 0.0957179i | ||||
\(457\) | 14.8376 | − | 8.56651i | 0.694075 | − | 0.400724i | −0.111062 | − | 0.993813i | \(-0.535425\pi\) |
0.805137 | + | 0.593089i | \(0.202092\pi\) | |||||||
\(458\) | −1.30363 | − | 2.69034i | −0.0609144 | − | 0.125711i | ||||
\(459\) | 3.46002 | − | 0.927110i | 0.161500 | − | 0.0432738i | ||||
\(460\) | −0.430233 | − | 3.65925i | −0.0200597 | − | 0.170613i | ||||
\(461\) | 17.5096 | − | 17.5096i | 0.815505 | − | 0.815505i | −0.169948 | − | 0.985453i | \(-0.554360\pi\) |
0.985453 | + | 0.169948i | \(0.0543600\pi\) | |||||||
\(462\) | 0.109894 | + | 2.07969i | 0.00511272 | + | 0.0967561i | ||||
\(463\) | − | 29.8874i | − | 1.38899i | −0.719499 | − | 0.694494i | \(-0.755628\pi\) | ||
0.719499 | − | 0.694494i | \(-0.244372\pi\) | |||||||
\(464\) | 13.5231 | + | 24.9986i | 0.627796 | + | 1.16053i | ||||
\(465\) | −0.600174 | − | 0.346511i | −0.0278324 | − | 0.0160691i | ||||
\(466\) | −8.99399 | + | 25.9041i | −0.416639 | + | 1.19999i | ||||
\(467\) | −3.64227 | + | 13.5931i | −0.168544 | + | 0.629015i | 0.829017 | + | 0.559223i | \(0.188900\pi\) |
−0.997562 | + | 0.0697924i | \(0.977766\pi\) | |||||||
\(468\) | −32.8167 | − | 14.1292i | −1.51695 | − | 0.653123i | ||||
\(469\) | 8.30983 | + | 10.9589i | 0.383712 | + | 0.506037i | ||||
\(470\) | 3.87483 | − | 5.71297i | 0.178733 | − | 0.263520i | ||||
\(471\) | −0.748191 | − | 1.29590i | −0.0344748 | − | 0.0597121i | ||||
\(472\) | −18.5530 | + | 20.2887i | −0.853972 | + | 0.933862i | ||||
\(473\) | 6.38229 | + | 3.68482i | 0.293458 | + | 0.169428i | ||||
\(474\) | −0.0517054 | + | 0.713100i | −0.00237491 | + | 0.0327538i | ||||
\(475\) | −17.5802 | + | 17.5802i | −0.806635 | + | 0.806635i | ||||
\(476\) | 3.46964 | − | 12.0033i | 0.159031 | − | 0.550169i | ||||
\(477\) | −1.19827 | − | 1.19827i | −0.0548650 | − | 0.0548650i | ||||
\(478\) | 11.2321 | + | 12.9882i | 0.513742 | + | 0.594067i | ||||
\(479\) | −4.61606 | + | 7.99525i | −0.210913 | + | 0.365312i | −0.952001 | − | 0.306096i | \(-0.900977\pi\) |
0.741087 | + | 0.671409i | \(0.234310\pi\) | |||||||
\(480\) | 0.307188 | + | 0.681479i | 0.0140212 | + | 0.0311051i | ||||
\(481\) | −5.26169 | + | 3.03784i | −0.239913 | + | 0.138514i | ||||
\(482\) | 17.4287 | − | 3.34136i | 0.793854 | − | 0.152195i | ||||
\(483\) | 2.22132 | + | 0.935038i | 0.101073 | + | 0.0425457i | ||||
\(484\) | 4.62945 | + | 11.6299i | 0.210429 | + | 0.528632i | ||||
\(485\) | −5.11871 | − | 1.37155i | −0.232428 | − | 0.0622790i | ||||
\(486\) | 4.13325 | + | 8.52995i | 0.187488 | + | 0.386926i | ||||
\(487\) | 6.64586 | − | 11.5110i | 0.301153 | − | 0.521612i | −0.675245 | − | 0.737594i | \(-0.735962\pi\) |
0.976397 | + | 0.215982i | \(0.0692952\pi\) | |||||||
\(488\) | 3.12771 | + | 9.88457i | 0.141585 | + | 0.447454i | ||||
\(489\) | −1.19212 | −0.0539094 | ||||||||
\(490\) | 4.81493 | + | 1.73380i | 0.217516 | + | 0.0783249i | ||||
\(491\) | −15.8754 | − | 15.8754i | −0.716445 | − | 0.716445i | 0.251430 | − | 0.967875i | \(-0.419099\pi\) |
−0.967875 | + | 0.251430i | \(0.919099\pi\) | |||||||
\(492\) | −0.118467 | − | 1.00760i | −0.00534093 | − | 0.0454261i | ||||
\(493\) | −4.34245 | − | 16.2063i | −0.195574 | − | 0.729893i | ||||
\(494\) | −42.7227 | − | 14.8334i | −1.92219 | − | 0.667388i | ||||
\(495\) | −1.65168 | − | 2.86080i | −0.0742376 | − | 0.128583i | ||||
\(496\) | −15.2391 | + | 14.4167i | −0.684258 | + | 0.647329i | ||||
\(497\) | 23.2528 | − | 9.47601i | 1.04303 | − | 0.425057i | ||||
\(498\) | 0.464489 | − | 0.0890501i | 0.0208142 | − | 0.00399043i | ||||
\(499\) | −30.2224 | − | 8.09807i | −1.35294 | − | 0.362519i | −0.491721 | − | 0.870753i | \(-0.663632\pi\) |
−0.861219 | + | 0.508234i | \(0.830299\pi\) | |||||||
\(500\) | 6.01456 | + | 8.06748i | 0.268980 | + | 0.360789i | ||||
\(501\) | 0.598062 | + | 2.23200i | 0.0267194 | + | 0.0997183i | ||||
\(502\) | 2.63484 | − | 36.3387i | 0.117599 | − | 1.62187i | ||||
\(503\) | 19.6757i | 0.877298i | 0.898659 | + | 0.438649i | \(0.144543\pi\) | ||||
−0.898659 | + | 0.438649i | \(0.855457\pi\) | |||||||
\(504\) | 21.8682 | + | 2.01691i | 0.974085 | + | 0.0898404i | ||||
\(505\) | − | 4.59778i | − | 0.204599i | ||||||
\(506\) | −10.9450 | − | 0.793600i | −0.486564 | − | 0.0352798i | ||||
\(507\) | 1.59158 | + | 5.93987i | 0.0706847 | + | 0.263799i | ||||
\(508\) | 15.9554 | + | 2.32602i | 0.707906 | + | 0.103200i | ||||
\(509\) | −30.9137 | − | 8.28331i | −1.37023 | − | 0.367151i | −0.502665 | − | 0.864481i | \(-0.667647\pi\) |
−0.867562 | + | 0.497330i | \(0.834314\pi\) | |||||||
\(510\) | −0.0830858 | − | 0.433378i | −0.00367910 | − | 0.0191903i | ||||
\(511\) | 3.05834 | − | 22.2453i | 0.135293 | − | 0.984075i | ||||
\(512\) | 22.4247 | − | 3.02225i | 0.991040 | − | 0.133566i | ||||
\(513\) | 3.98459 | + | 6.90151i | 0.175924 | + | 0.304709i | ||||
\(514\) | −8.88962 | + | 25.6035i | −0.392104 | + | 1.12932i | ||||
\(515\) | −2.56734 | − | 9.58143i | −0.113130 | − | 0.422208i | ||||
\(516\) | −1.07227 | + | 1.35801i | −0.0472040 | + | 0.0597829i | ||||
\(517\) | −14.5381 | − | 14.5381i | −0.639386 | − | 0.639386i | ||||
\(518\) | 2.49762 | − | 2.77630i | 0.109739 | − | 0.121984i | ||||
\(519\) | −4.72388 | −0.207355 | ||||||||
\(520\) | −4.10188 | + | 7.89934i | −0.179879 | + | 0.346409i | ||||
\(521\) | 5.17549 | − | 8.96421i | 0.226742 | − | 0.392729i | −0.730098 | − | 0.683342i | \(-0.760526\pi\) |
0.956841 | + | 0.290613i | \(0.0938591\pi\) | |||||||
\(522\) | 26.5380 | − | 12.8592i | 1.16154 | − | 0.562831i | ||||
\(523\) | 33.3679 | + | 8.94091i | 1.45908 | + | 0.390959i | 0.899171 | − | 0.437597i | \(-0.144170\pi\) |
0.559907 | + | 0.828556i | \(0.310837\pi\) | |||||||
\(524\) | −36.6390 | − | 15.7749i | −1.60058 | − | 0.689130i | ||||
\(525\) | −3.17574 | + | 0.399608i | −0.138601 | + | 0.0174403i | ||||
\(526\) | 2.51267 | + | 13.1062i | 0.109558 | + | 0.571456i | ||||
\(527\) | 10.7245 | − | 6.19182i | 0.467168 | − | 0.269720i | ||||
\(528\) | 2.16567 | − | 0.516392i | 0.0942488 | − | 0.0224731i | ||||
\(529\) | 5.15030 | − | 8.92058i | 0.223926 | − | 0.387851i | ||||
\(530\) | −0.319319 | + | 0.276143i | −0.0138703 | + | 0.0119949i | ||||
\(531\) | 20.1704 | + | 20.1704i | 0.875320 | + | 0.875320i | ||||
\(532\) | 27.7920 | + | 0.544490i | 1.20494 | + | 0.0236066i | ||||
\(533\) | 8.54211 | − | 8.54211i | 0.370000 | − | 0.370000i | ||||
\(534\) | −5.33998 | − | 0.387191i | −0.231084 | − | 0.0167554i | ||||
\(535\) | −5.18791 | − | 2.99524i | −0.224293 | − | 0.129496i | ||||
\(536\) | 9.92201 | − | 10.8502i | 0.428566 | − | 0.468658i | ||||
\(537\) | 2.11045 | + | 3.65540i | 0.0910725 | + | 0.157742i | ||||
\(538\) | 21.5715 | + | 14.6309i | 0.930015 | + | 0.630784i | ||||
\(539\) | 7.77173 | − | 13.1119i | 0.334752 | − | 0.564771i | ||||
\(540\) | 1.45724 | − | 0.580074i | 0.0627096 | − | 0.0249624i | ||||
\(541\) | −0.909894 | + | 3.39577i | −0.0391194 | + | 0.145996i | −0.982723 | − | 0.185081i | \(-0.940745\pi\) |
0.943604 | + | 0.331077i | \(0.107412\pi\) | |||||||
\(542\) | −10.1904 | − | 3.53812i | −0.437713 | − | 0.151975i | ||||
\(543\) | 4.43756 | + | 2.56203i | 0.190434 | + | 0.109947i | ||||
\(544\) | −13.2905 | − | 1.33494i | −0.569825 | − | 0.0572349i | ||||
\(545\) | 7.31368i | 0.313284i | ||||||||
\(546\) | −3.17314 | − | 4.88159i | −0.135798 | − | 0.208913i | ||||
\(547\) | 1.41889 | − | 1.41889i | 0.0606674 | − | 0.0606674i | −0.676122 | − | 0.736790i | \(-0.736341\pi\) |
0.736790 | + | 0.676122i | \(0.236341\pi\) | |||||||
\(548\) | −0.820927 | + | 1.03969i | −0.0350683 | + | 0.0444132i | ||||
\(549\) | 10.3905 | − | 2.78412i | 0.443454 | − | 0.118823i | ||||
\(550\) | 13.1153 | − | 6.35513i | 0.559240 | − | 0.270984i | ||||
\(551\) | 32.3257 | − | 18.6633i | 1.37712 | − | 0.795082i | ||||
\(552\) | 0.555085 | − | 2.51599i | 0.0236260 | − | 0.107088i | ||||
\(553\) | 3.20921 | − | 4.13311i | 0.136470 | − | 0.175758i | ||||
\(554\) | −20.7354 | − | 14.0638i | −0.880963 | − | 0.597515i | ||||
\(555\) | 0.0341351 | − | 0.127394i | 0.00144895 | − | 0.00540757i | ||||
\(556\) | −10.8179 | − | 14.5103i | −0.458781 | − | 0.615373i | ||||
\(557\) | −16.0307 | + | 4.29542i | −0.679243 | + | 0.182003i | −0.581915 | − | 0.813250i | \(-0.697696\pi\) |
−0.0973282 | + | 0.995252i | \(0.531030\pi\) | |||||||
\(558\) | 14.2374 | + | 16.4635i | 0.602718 | + | 0.696955i | ||||
\(559\) | −20.6031 | −0.871419 | ||||||||
\(560\) | 0.895112 | − | 5.39720i | 0.0378254 | − | 0.228073i | ||||
\(561\) | −1.31428 | −0.0554888 | ||||||||
\(562\) | 13.1212 | + | 15.1728i | 0.553485 | + | 0.640025i | ||||
\(563\) | −18.1600 | + | 4.86597i | −0.765355 | + | 0.205076i | −0.620318 | − | 0.784350i | \(-0.712997\pi\) |
−0.145036 | + | 0.989426i | \(0.546330\pi\) | |||||||
\(564\) | 3.87008 | − | 2.88527i | 0.162960 | − | 0.121492i | ||||
\(565\) | 1.18043 | − | 4.40544i | 0.0496613 | − | 0.185338i | ||||
\(566\) | 6.28799 | + | 4.26484i | 0.264304 | + | 0.179265i | ||||
\(567\) | 3.03281 | − | 22.0597i | 0.127366 | − | 0.926419i | ||||
\(568\) | −14.4460 | − | 22.6246i | −0.606140 | − | 0.949307i | ||||
\(569\) | −26.3651 | + | 15.2219i | −1.10528 | + | 0.638135i | −0.937603 | − | 0.347707i | \(-0.886961\pi\) |
−0.167679 | + | 0.985842i | \(0.553627\pi\) | |||||||
\(570\) | 0.883459 | − | 0.428087i | 0.0370040 | − | 0.0179306i | ||||
\(571\) | 27.8263 | − | 7.45604i | 1.16450 | − | 0.312026i | 0.375736 | − | 0.926727i | \(-0.377390\pi\) |
0.788760 | + | 0.614701i | \(0.210723\pi\) | |||||||
\(572\) | 20.8062 | + | 16.4284i | 0.869950 | + | 0.686904i | ||||
\(573\) | −2.75194 | + | 2.75194i | −0.114964 | + | 0.114964i | ||||
\(574\) | −3.36812 | + | 6.61738i | −0.140583 | + | 0.276204i | ||||
\(575\) | − | 16.8658i | − | 0.703351i | ||||||
\(576\) | −2.09399 | − | 23.3837i | −0.0872496 | − | 0.974321i | ||||
\(577\) | −4.00919 | − | 2.31471i | −0.166905 | − | 0.0963626i | 0.414221 | − | 0.910176i | \(-0.364054\pi\) |
−0.581126 | + | 0.813814i | \(0.697387\pi\) | |||||||
\(578\) | −15.2627 | − | 5.29927i | −0.634847 | − | 0.220421i | ||||
\(579\) | 1.07216 | − | 4.00136i | 0.0445574 | − | 0.166291i | ||||
\(580\) | −2.71699 | − | 6.82551i | −0.112817 | − | 0.283414i | ||||
\(581\) | −3.19029 | − | 1.34292i | −0.132356 | − | 0.0557136i | ||||
\(582\) | −3.06685 | − | 2.08010i | −0.127125 | − | 0.0862229i | ||||
\(583\) | 0.628680 | + | 1.08890i | 0.0260372 | + | 0.0450978i | ||||
\(584\) | −23.9810 | + | 1.07159i | −0.992341 | + | 0.0443429i | ||||
\(585\) | 7.99787 | + | 4.61757i | 0.330671 | + | 0.190913i | ||||
\(586\) | 16.4066 | + | 1.18961i | 0.677750 | + | 0.0491423i | ||||
\(587\) | −11.6498 | + | 11.6498i | −0.480838 | + | 0.480838i | −0.905399 | − | 0.424562i | \(-0.860428\pi\) |
0.424562 | + | 0.905399i | \(0.360428\pi\) | |||||||
\(588\) | 2.78309 | + | 2.24972i | 0.114773 | + | 0.0927770i | ||||
\(589\) | 19.4810 | + | 19.4810i | 0.802702 | + | 0.802702i | ||||
\(590\) | 5.37507 | − | 4.64830i | 0.221288 | − | 0.191367i | ||||
\(591\) | 0.853808 | − | 1.47884i | 0.0351210 | − | 0.0608313i | ||||
\(592\) | −3.40074 | − | 2.09122i | −0.139770 | − | 0.0859485i | ||||
\(593\) | −3.92435 | + | 2.26572i | −0.161154 | + | 0.0930421i | −0.578408 | − | 0.815748i | \(-0.696326\pi\) |
0.417254 | + | 0.908790i | \(0.362992\pi\) | |||||||
\(594\) | −0.879575 | − | 4.58789i | −0.0360894 | − | 0.188244i | ||||
\(595\) | −1.25297 | + | 2.97662i | −0.0513668 | + | 0.122029i | ||||
\(596\) | 11.7681 | − | 27.3327i | 0.482040 | − | 1.11959i | ||||
\(597\) | 1.74935 | + | 0.468736i | 0.0715960 | + | 0.0191841i | ||||
\(598\) | 27.6086 | − | 13.3779i | 1.12900 | − | 0.547064i | ||||
\(599\) | 2.76430 | − | 4.78791i | 0.112946 | − | 0.195629i | −0.804011 | − | 0.594615i | \(-0.797305\pi\) |
0.916957 | + | 0.398986i | \(0.130638\pi\) | |||||||
\(600\) | 1.03229 | + | 3.26236i | 0.0421429 | + | 0.133185i | ||||
\(601\) | −7.12419 | −0.290602 | −0.145301 | − | 0.989388i | \(-0.546415\pi\) | ||||
−0.145301 | + | 0.989388i | \(0.546415\pi\) | |||||||
\(602\) | 12.0423 | − | 3.91852i | 0.490806 | − | 0.159707i | ||||
\(603\) | −10.7870 | − | 10.7870i | −0.439279 | − | 0.439279i | ||||
\(604\) | 11.7381 | + | 9.26833i | 0.477618 | + | 0.377123i | ||||
\(605\) | −0.837401 | − | 3.12522i | −0.0340452 | − | 0.127058i | ||||
\(606\) | 1.05456 | − | 3.03731i | 0.0428387 | − | 0.123382i | ||||
\(607\) | 14.7666 | + | 25.5765i | 0.599357 | + | 1.03812i | 0.992916 | + | 0.118818i | \(0.0379104\pi\) |
−0.393559 | + | 0.919299i | \(0.628756\pi\) | |||||||
\(608\) | −4.78404 | − | 29.3290i | −0.194018 | − | 1.18945i | ||||
\(609\) | 4.76068 | + | 0.654510i | 0.192913 | + | 0.0265221i | ||||
\(610\) | −0.504570 | − | 2.63185i | −0.0204294 | − | 0.106561i | ||||
\(611\) | 55.5206 | + | 14.8767i | 2.24612 | + | 0.601847i | ||||
\(612\) | −1.99927 | + | 13.7141i | −0.0808158 | + | 0.554359i | ||||
\(613\) | 2.97664 | + | 11.1090i | 0.120225 | + | 0.448687i | 0.999625 | − | 0.0273982i | \(-0.00872222\pi\) |
−0.879399 | + | 0.476085i | \(0.842056\pi\) | |||||||
\(614\) | −20.2359 | − | 1.46726i | −0.816653 | − | 0.0592139i | ||||
\(615\) | 0.262235i | 0.0105743i | ||||||||
\(616\) | −15.2855 | − | 5.64502i | −0.615869 | − | 0.227444i | ||||
\(617\) | 3.58264i | 0.144232i | 0.997396 | + | 0.0721158i | \(0.0229751\pi\) | ||||
−0.997396 | + | 0.0721158i | \(0.977025\pi\) | |||||||
\(618\) | 0.501638 | − | 6.91839i | 0.0201789 | − | 0.278298i | ||||
\(619\) | −4.47703 | − | 16.7085i | −0.179947 | − | 0.671571i | −0.995656 | − | 0.0931089i | \(-0.970320\pi\) |
0.815709 | − | 0.578463i | \(-0.196347\pi\) | |||||||
\(620\) | 4.34714 | − | 3.24094i | 0.174586 | − | 0.130159i | ||||
\(621\) | −5.22185 | − | 1.39919i | −0.209546 | − | 0.0561476i | ||||
\(622\) | 38.4423 | − | 7.37002i | 1.54140 | − | 0.295511i | ||||
\(623\) | 30.9504 | + | 24.0319i | 1.24000 | + | 0.962817i | ||||
\(624\) | −4.52154 | + | 4.27751i | −0.181006 | + | 0.171238i | ||||
\(625\) | 10.5314 | + | 18.2409i | 0.421256 | + | 0.729637i | ||||
\(626\) | 27.0312 | + | 9.38531i | 1.08038 | + | 0.375112i | ||||
\(627\) | −0.756766 | − | 2.82429i | −0.0302223 | − | 0.112791i | ||||
\(628\) | 11.6278 | − | 1.36713i | 0.464000 | − | 0.0545544i | ||||
\(629\) | 1.66645 | + | 1.66645i | 0.0664455 | + | 0.0664455i | ||||
\(630\) | −5.55287 | − | 1.17779i | −0.221231 | − | 0.0469242i | ||||
\(631\) | 0.128219 | 0.00510432 | 0.00255216 | − | 0.999997i | \(-0.499188\pi\) | ||||
0.00255216 | + | 0.999997i | \(0.499188\pi\) | |||||||
\(632\) | −4.96461 | − | 2.57797i | −0.197482 | − | 0.102546i | ||||
\(633\) | −2.07299 | + | 3.59052i | −0.0823938 | + | 0.142710i | ||||
\(634\) | −5.63661 | − | 11.6325i | −0.223858 | − | 0.461985i | ||||
\(635\) | −4.02568 | − | 1.07868i | −0.159754 | − | 0.0428060i | ||||
\(636\) | −0.274281 | + | 0.109181i | −0.0108759 | + | 0.00432932i | ||||
\(637\) | −0.487994 | + | 42.6093i | −0.0193350 | + | 1.68824i | ||||
\(638\) | −21.4891 | + | 4.11981i | −0.850760 | + | 0.163105i | ||||
\(639\) | −24.1200 | + | 13.9257i | −0.954174 | + | 0.550893i | ||||
\(640\) | −5.84782 | + | 0.0990106i | −0.231155 | + | 0.00391374i | ||||
\(641\) | −1.21974 | + | 2.11264i | −0.0481767 | + | 0.0834444i | −0.889108 | − | 0.457697i | \(-0.848674\pi\) |
0.840931 | + | 0.541142i | \(0.182008\pi\) | |||||||
\(642\) | −2.74016 | − | 3.16859i | −0.108145 | − | 0.125054i | ||||
\(643\) | −32.3912 | − | 32.3912i | −1.27738 | − | 1.27738i | −0.942126 | − | 0.335259i | \(-0.891176\pi\) |
−0.335259 | − | 0.942126i | \(-0.608824\pi\) | |||||||
\(644\) | −13.5925 | + | 13.0701i | −0.535619 | + | 0.515035i | ||||
\(645\) | 0.316248 | − | 0.316248i | 0.0124523 | − | 0.0124523i | ||||
\(646\) | −1.26862 | + | 17.4963i | −0.0499133 | + | 0.688384i | ||||
\(647\) | −19.1676 | − | 11.0664i | −0.753555 | − | 0.435065i | 0.0734221 | − | 0.997301i | \(-0.476608\pi\) |
−0.826977 | + | 0.562236i | \(0.809941\pi\) | |||||||
\(648\) | −23.7809 | + | 1.06265i | −0.934201 | + | 0.0417449i | ||||
\(649\) | −10.5825 | − | 18.3295i | −0.415400 | − | 0.719494i | ||||
\(650\) | −22.8704 | + | 33.7197i | −0.897053 | + | 1.32260i | ||||
\(651\) | 0.442815 | + | 3.51911i | 0.0173553 | + | 0.137925i | ||||
\(652\) | 3.68851 | − | 8.56698i | 0.144453 | − | 0.335509i | ||||
\(653\) | −0.00473248 | + | 0.0176619i | −0.000185196 | + | 0.000691162i | −0.966018 | − | 0.258473i | \(-0.916781\pi\) |
0.965833 | + | 0.259165i | \(0.0834472\pi\) | |||||||
\(654\) | −1.67749 | + | 4.83145i | −0.0655952 | + | 0.188925i | ||||
\(655\) | 8.92941 | + | 5.15540i | 0.348901 | + | 0.201438i | ||||
\(656\) | 7.60752 | + | 2.26625i | 0.297024 | + | 0.0884821i | ||||
\(657\) | 24.9065i | 0.971696i | ||||||||
\(658\) | −35.2805 | + | 1.86427i | −1.37538 | + | 0.0726767i | ||||
\(659\) | −12.7235 | + | 12.7235i | −0.495639 | + | 0.495639i | −0.910077 | − | 0.414439i | \(-0.863978\pi\) |
0.414439 | + | 0.910077i | \(0.363978\pi\) | |||||||
\(660\) | −0.571532 | + | 0.0671974i | −0.0222469 | + | 0.00261565i | ||||
\(661\) | −36.9272 | + | 9.89461i | −1.43630 | + | 0.384856i | −0.891237 | − | 0.453539i | \(-0.850161\pi\) |
−0.545064 | + | 0.838394i | \(0.683495\pi\) | |||||||
\(662\) | 17.2268 | + | 35.5516i | 0.669538 | + | 1.38175i | ||||
\(663\) | 3.18203 | − | 1.83715i | 0.123580 | − | 0.0713488i | ||||
\(664\) | −0.797222 | + | 3.61351i | −0.0309382 | + | 0.140231i | ||||
\(665\) | −7.11801 | − | 0.978601i | −0.276025 | − | 0.0379485i | ||||
\(666\) | −2.32511 | + | 3.42809i | −0.0900962 | + | 0.132836i | ||||
\(667\) | −6.55362 | + | 24.4584i | −0.253757 | + | 0.947034i | ||||
\(668\) | −17.8904 | − | 2.60811i | −0.692201 | − | 0.100911i | ||||
\(669\) | −2.04375 | + | 0.547622i | −0.0790161 | + | 0.0211723i | ||||
\(670\) | −2.87455 | + | 2.48587i | −0.111053 | + | 0.0960377i | ||||
\(671\) | −7.98144 | −0.308120 | ||||||||
\(672\) | 1.82924 | − | 3.36010i | 0.0705643 | − | 0.129619i | ||||
\(673\) | −0.347088 | −0.0133793 | −0.00668963 | − | 0.999978i | \(-0.502129\pi\) | ||||
−0.00668963 | + | 0.999978i | \(0.502129\pi\) | |||||||
\(674\) | 39.0978 | − | 33.8113i | 1.50599 | − | 1.30236i | ||||
\(675\) | 6.93501 | − | 1.85823i | 0.266929 | − | 0.0715233i | ||||
\(676\) | −47.6106 | − | 6.94078i | −1.83118 | − | 0.266953i | ||||
\(677\) | −1.94067 | + | 7.24267i | −0.0745859 | + | 0.278358i | −0.993139 | − | 0.116939i | \(-0.962692\pi\) |
0.918553 | + | 0.395297i | \(0.129358\pi\) | |||||||
\(678\) | 1.79025 | − | 2.63951i | 0.0687541 | − | 0.101370i | ||||
\(679\) | 10.2353 | + | 25.1160i | 0.392795 | + | 0.963865i | ||||
\(680\) | 3.37149 | + | 0.743826i | 0.129291 | + | 0.0285244i | ||||
\(681\) | 1.53376 | − | 0.885514i | 0.0587736 | − | 0.0339330i | ||||
\(682\) | −7.04227 | − | 14.5334i | −0.269662 | − | 0.556513i | ||||
\(683\) | 22.7306 | − | 6.09066i | 0.869764 | − | 0.233053i | 0.203778 | − | 0.979017i | \(-0.434678\pi\) |
0.665986 | + | 0.745965i | \(0.268011\pi\) | |||||||
\(684\) | −30.6218 | + | 3.60033i | −1.17085 | + | 0.137662i | ||||
\(685\) | 0.242119 | − | 0.242119i | 0.00925089 | − | 0.00925089i | ||||
\(686\) | −7.81866 | − | 24.9974i | −0.298518 | − | 0.954404i | ||||
\(687\) | 0.540360i | 0.0206160i | ||||||||
\(688\) | −6.44143 | − | 11.9075i | −0.245577 | − | 0.453969i | ||||
\(689\) | −3.04423 | − | 1.75759i | −0.115976 | − | 0.0669587i | ||||
\(690\) | −0.218433 | + | 0.629123i | −0.00831561 | + | 0.0239503i | ||||
\(691\) | 4.76409 | − | 17.7798i | 0.181235 | − | 0.676377i | −0.814171 | − | 0.580626i | \(-0.802808\pi\) |
0.995405 | − | 0.0957513i | \(-0.0305253\pi\) | |||||||
\(692\) | 14.6161 | − | 33.9475i | 0.555621 | − | 1.29049i | ||||
\(693\) | −6.55918 | + | 15.5823i | −0.249163 | + | 0.591922i | ||||
\(694\) | −21.1654 | + | 31.2058i | −0.803426 | + | 1.18455i | ||||
\(695\) | 2.33909 | + | 4.05142i | 0.0887267 | + | 0.153679i | ||||
\(696\) | −0.229330 | − | 5.13214i | −0.00869274 | − | 0.194533i | ||||
\(697\) | −4.05809 | − | 2.34294i | −0.153711 | − | 0.0887452i | ||||
\(698\) | −0.262429 | + | 3.61931i | −0.00993308 | + | 0.136993i | ||||
\(699\) | 3.50468 | − | 3.50468i | 0.132559 | − | 0.132559i | ||||
\(700\) | 6.95430 | − | 24.0585i | 0.262848 | − | 0.909325i | ||||
\(701\) | 15.5894 | + | 15.5894i | 0.588803 | + | 0.588803i | 0.937307 | − | 0.348504i | \(-0.113310\pi\) |
−0.348504 | + | 0.937307i | \(0.613310\pi\) | |||||||
\(702\) | 8.54270 | + | 9.87838i | 0.322423 | + | 0.372835i | ||||
\(703\) | −2.62153 | + | 4.54062i | −0.0988729 | + | 0.171253i | ||||
\(704\) | −2.98980 | + | 17.1611i | −0.112682 | + | 0.646783i | ||||
\(705\) | −1.08057 | + | 0.623865i | −0.0406964 | + | 0.0234961i | ||||
\(706\) | 19.2952 | − | 3.69920i | 0.726183 | − | 0.139221i | ||||
\(707\) | −18.7504 | + | 14.2178i | −0.705180 | + | 0.534716i | ||||
\(708\) | 4.61695 | − | 1.83784i | 0.173516 | − | 0.0690703i | ||||
\(709\) | 13.3669 | + | 3.58166i | 0.502006 | + | 0.134512i | 0.500931 | − | 0.865487i | \(-0.332991\pi\) |
0.00107497 | + | 0.999999i | \(0.499658\pi\) | |||||||
\(710\) | 3.02555 | + | 6.24394i | 0.113547 | + | 0.234331i | ||||
\(711\) | −2.90207 | + | 5.02654i | −0.108836 | + | 0.188510i | ||||
\(712\) | 19.3049 | − | 37.1770i | 0.723480 | − | 1.39327i | ||||
\(713\) | −18.6893 | −0.699921 | ||||||||
\(714\) | −1.51045 | + | 1.67898i | −0.0565270 | + | 0.0628343i | ||||
\(715\) | −4.84527 | − | 4.84527i | −0.181203 | − | 0.181203i | ||||
\(716\) | −32.7989 | + | 3.85630i | −1.22575 | + | 0.144117i | ||||
\(717\) | −0.803299 | − | 2.99795i | −0.0299997 | − | 0.111961i | ||||
\(718\) | 3.02438 | + | 1.05007i | 0.112869 | + | 0.0391884i | ||||
\(719\) | 0.515281 | + | 0.892493i | 0.0192167 | + | 0.0332844i | 0.875474 | − | 0.483265i | \(-0.160549\pi\) |
−0.856257 | + | 0.516550i | \(0.827216\pi\) | |||||||
\(720\) | −0.168228 | + | 6.06599i | −0.00626949 | + | 0.226066i | ||||
\(721\) | −31.1353 | + | 40.0988i | −1.15954 | + | 1.49336i | ||||
\(722\) | −11.9394 | + | 2.28898i | −0.444339 | + | 0.0851872i | ||||
\(723\) | −3.09831 | − | 0.830188i | −0.115227 | − | 0.0308750i | ||||
\(724\) | −32.1419 | + | 23.9628i | −1.19454 | + | 0.890570i | ||||
\(725\) | −8.70370 | − | 32.4826i | −0.323247 | − | 1.20638i | ||||
\(726\) | 0.163622 | − | 2.25660i | 0.00607258 | − | 0.0837505i | ||||
\(727\) | − | 3.68053i | − | 0.136503i | −0.997668 | − | 0.0682517i | \(-0.978258\pi\) | ||
0.997668 | − | 0.0682517i | \(-0.0217421\pi\) | |||||||
\(728\) | 44.8989 | − | 7.69929i | 1.66406 | − | 0.285355i | ||||
\(729\) | 23.5353i | 0.871679i | ||||||||
\(730\) | 6.18847 | + | 0.448713i | 0.229046 | + | 0.0166076i | ||||
\(731\) | 2.06843 | + | 7.71948i | 0.0765036 | + | 0.285515i | ||||
\(732\) | 0.270331 | − | 1.85434i | 0.00999171 | − | 0.0685385i | ||||
\(733\) | 7.65019 | + | 2.04986i | 0.282566 | + | 0.0757134i | 0.397319 | − | 0.917681i | \(-0.369941\pi\) |
−0.114752 | + | 0.993394i | \(0.536607\pi\) | |||||||
\(734\) | 1.74010 | + | 9.07642i | 0.0642283 | + | 0.335017i | ||||
\(735\) | −0.646542 | − | 0.661523i | −0.0238480 | − | 0.0244006i | ||||
\(736\) | 16.3634 | + | 11.7737i | 0.603162 | + | 0.433986i | ||||
\(737\) | 5.65945 | + | 9.80245i | 0.208468 | + | 0.361078i | ||||
\(738\) | 2.70138 | − | 7.78041i | 0.0994392 | − | 0.286401i | ||||
\(739\) | −1.87174 | − | 6.98543i | −0.0688531 | − | 0.256963i | 0.922916 | − | 0.385001i | \(-0.125799\pi\) |
−0.991769 | + | 0.128038i | \(0.959132\pi\) | |||||||
\(740\) | 0.809882 | + | 0.639475i | 0.0297719 | + | 0.0235076i | ||||
\(741\) | 5.78013 | + | 5.78013i | 0.212338 | + | 0.212338i | ||||
\(742\) | 2.11359 | + | 0.448302i | 0.0775922 | + | 0.0164577i | ||||
\(743\) | −48.0436 | −1.76255 | −0.881274 | − | 0.472605i | \(-0.843314\pi\) | ||||
−0.881274 | + | 0.472605i | \(0.843314\pi\) | |||||||
\(744\) | 3.61510 | − | 1.14390i | 0.132536 | − | 0.0419374i | ||||
\(745\) | −3.84594 | + | 6.66136i | −0.140904 | + | 0.244053i | ||||
\(746\) | −4.48606 | + | 2.17375i | −0.164246 | + | 0.0795867i | ||||
\(747\) | 3.70857 | + | 0.993708i | 0.135689 | + | 0.0363579i | ||||
\(748\) | 4.06649 | − | 9.44487i | 0.148685 | − | 0.345339i | ||||
\(749\) | 3.82770 | + | 30.4192i | 0.139861 | + | 1.11149i | ||||
\(750\) | −0.342465 | − | 1.78631i | −0.0125051 | − | 0.0652269i | ||||
\(751\) | 23.9552 | − | 13.8306i | 0.874138 | − | 0.504684i | 0.00541712 | − | 0.999985i | \(-0.498276\pi\) |
0.868721 | + | 0.495301i | \(0.164942\pi\) | |||||||
\(752\) | 8.76022 | + | 36.7391i | 0.319452 | + | 1.33974i | ||||
\(753\) | −3.29273 | + | 5.70317i | −0.119994 | + | 0.207835i | ||||
\(754\) | 46.2690 | − | 40.0128i | 1.68502 | − | 1.45718i | ||||
\(755\) | −2.73354 | − | 2.73354i | −0.0994837 | − | 0.0994837i | ||||
\(756\) | −6.87187 | − | 4.14904i | −0.249927 | − | 0.150899i | ||||
\(757\) | 11.4412 | − | 11.4412i | 0.415836 | − | 0.415836i | −0.467930 | − | 0.883766i | \(-0.655000\pi\) |
0.883766 | + | 0.467930i | \(0.155000\pi\) | |||||||
\(758\) | 8.07248 | + | 0.585319i | 0.293206 | + | 0.0212598i | ||||
\(759\) | 1.71776 | + | 0.991751i | 0.0623508 | + | 0.0359983i | ||||
\(760\) | 0.342887 | + | 7.67340i | 0.0124378 | + | 0.278343i | ||||
\(761\) | −21.0572 | − | 36.4722i | −0.763324 | − | 1.32212i | −0.941128 | − | 0.338050i | \(-0.890233\pi\) |
0.177804 | − | 0.984066i | \(-0.443101\pi\) | |||||||
\(762\) | −2.41197 | − | 1.63592i | −0.0873765 | − | 0.0592632i | ||||
\(763\) | 29.8262 | − | 22.6163i | 1.07978 | − | 0.818764i | ||||
\(764\) | −11.2617 | − | 28.2912i | −0.407434 | − | 1.02354i | ||||
\(765\) | 0.927152 | − | 3.46018i | 0.0335213 | − | 0.125103i | ||||
\(766\) | −14.1163 | − | 4.90122i | −0.510043 | − | 0.177088i | ||||
\(767\) | 51.2432 | + | 29.5853i | 1.85029 | + | 1.06826i | ||||
\(768\) | −3.88580 | − | 1.27587i | −0.140217 | − | 0.0460390i | ||||
\(769\) | − | 24.9820i | − | 0.900875i | −0.892808 | − | 0.450438i | \(-0.851268\pi\) | ||
0.892808 | − | 0.450438i | \(-0.148732\pi\) | |||||||
\(770\) | 3.75353 | + | 1.91047i | 0.135268 | + | 0.0688487i | ||||
\(771\) | 3.46401 | − | 3.46401i | 0.124753 | − | 0.124753i | ||||
\(772\) | 25.4378 | + | 20.0855i | 0.915528 | + | 0.722892i | ||||
\(773\) | 28.4576 | − | 7.62520i | 1.02355 | − | 0.274259i | 0.292270 | − | 0.956336i | \(-0.405590\pi\) |
0.731281 | + | 0.682077i | \(0.238923\pi\) | |||||||
\(774\) | −12.6408 | + | 6.12518i | −0.454363 | + | 0.220165i | ||||
\(775\) | 21.4955 | − | 12.4104i | 0.772141 | − | 0.445796i | ||||
\(776\) | 24.4375 | − | 15.6035i | 0.877254 | − | 0.560134i | ||||
\(777\) | −0.625086 | + | 0.254735i | −0.0224248 | + | 0.00913858i | ||||
\(778\) | 14.1559 | + | 9.60123i | 0.507512 | + | 0.344221i | ||||
\(779\) | 2.69815 | − | 10.0696i | 0.0966713 | − | 0.360782i | ||||
\(780\) | 1.28982 | − | 0.961604i | 0.0461830 | − | 0.0344309i | ||||
\(781\) | 19.9609 | − | 5.34852i | 0.714259 | − | 0.191385i | ||||
\(782\) | −7.78411 | − | 9.00118i | −0.278359 | − | 0.321882i | ||||
\(783\) | −10.7791 | −0.385213 | ||||||||
\(784\) | −24.7785 | + | 13.0395i | −0.884945 | + | 0.465696i | ||||
\(785\) | −3.02622 | −0.108010 | ||||||||
\(786\) | 4.71635 | + | 5.45376i | 0.168227 | + | 0.194529i | ||||
\(787\) | 52.5631 | − | 14.0842i | 1.87367 | − | 0.502049i | 0.873795 | − | 0.486294i | \(-0.161652\pi\) |
0.999876 | − | 0.0157543i | \(-0.00501497\pi\) | |||||||
\(788\) | 7.98572 | + | 10.7114i | 0.284479 | + | 0.381579i | ||||
\(789\) | 0.624293 | − | 2.32989i | 0.0222254 | − | 0.0829464i | ||||
\(790\) | 1.19665 | + | 0.811629i | 0.0425749 | + | 0.0288765i | ||||
\(791\) | −21.6163 | + | 8.80908i | −0.768586 | + | 0.313215i | ||||
\(792\) | 17.6494 | + | 3.89385i | 0.627144 | + | 0.138362i | ||||
\(793\) | 19.3241 | − | 11.1568i | 0.686218 | − | 0.396188i | ||||
\(794\) | −16.4593 | + | 7.97546i | −0.584118 | + | 0.283039i | ||||
\(795\) | 0.0737055 | − | 0.0197493i | 0.00261407 | − | 0.000700437i | ||||
\(796\) | −8.78114 | + | 11.1211i | −0.311239 | + | 0.394178i | ||||
\(797\) | 7.86246 | − | 7.86246i | 0.278503 | − | 0.278503i | −0.554008 | − | 0.832511i | \(-0.686902\pi\) |
0.832511 | + | 0.554008i | \(0.186902\pi\) | |||||||
\(798\) | −4.47774 | − | 2.27908i | −0.158510 | − | 0.0806786i | ||||
\(799\) | − | 22.2957i | − | 0.788766i | ||||||
\(800\) | −26.6385 | − | 2.67565i | −0.941813 | − | 0.0945985i | ||||
\(801\) | −37.6408 | − | 21.7319i | −1.32997 | − | 0.767859i | ||||
\(802\) | −39.8019 | − | 13.8193i | −1.40546 | − | 0.487978i | ||||
\(803\) | 4.78299 | − | 17.8504i | 0.168788 | − | 0.629925i | ||||
\(804\) | −2.46911 | + | 0.982862i | −0.0870787 | + | 0.0346629i | ||||
\(805\) | 3.88379 | − | 2.94496i | 0.136886 | − | 0.103796i | ||||
\(806\) | 37.3656 | + | 25.3433i | 1.31615 | + | 0.892678i | ||||
\(807\) | −2.35564 | − | 4.08009i | −0.0829226 | − | 0.143626i | ||||
\(808\) | 18.5643 | + | 16.9762i | 0.653091 | + | 0.597220i | ||||
\(809\) | −3.29250 | − | 1.90093i | −0.115758 | − | 0.0668331i | 0.441003 | − | 0.897506i | \(-0.354623\pi\) |
−0.556761 | + | 0.830673i | \(0.687956\pi\) | |||||||
\(810\) | 6.13682 | + | 0.444969i | 0.215626 | + | 0.0156346i | ||||
\(811\) | −7.73995 | + | 7.73995i | −0.271787 | + | 0.271787i | −0.829819 | − | 0.558033i | \(-0.811556\pi\) |
0.558033 | + | 0.829819i | \(0.311556\pi\) | |||||||
\(812\) | −19.4335 | + | 32.1869i | −0.681983 | + | 1.12954i | ||||
\(813\) | 1.37870 | + | 1.37870i | 0.0483530 | + | 0.0483530i | ||||
\(814\) | 2.32472 | − | 2.01039i | 0.0814812 | − | 0.0704640i | ||||
\(815\) | −1.20544 | + | 2.08789i | −0.0422248 | + | 0.0731356i | ||||
\(816\) | 2.05661 | + | 1.26467i | 0.0719959 | + | 0.0442724i | ||||
\(817\) | −15.3976 | + | 8.88982i | −0.538695 | + | 0.311016i | ||||
\(818\) | −0.503857 | − | 2.62814i | −0.0176169 | − | 0.0918906i | ||||
\(819\) | −5.90091 | − | 46.8954i | −0.206195 | − | 1.63866i | ||||
\(820\) | −1.88451 | − | 0.811377i | −0.0658101 | − | 0.0283345i | ||||
\(821\) | −12.8658 | − | 3.44738i | −0.449019 | − | 0.120314i | 0.0272212 | − | 0.999629i | \(-0.491334\pi\) |
−0.476240 | + | 0.879315i | \(0.658001\pi\) | |||||||
\(822\) | 0.215478 | − | 0.104411i | 0.00751566 | − | 0.00364177i | ||||
\(823\) | 5.00600 | − | 8.67064i | 0.174498 | − | 0.302239i | −0.765489 | − | 0.643448i | \(-0.777503\pi\) |
0.939987 | + | 0.341209i | \(0.110836\pi\) | |||||||
\(824\) | 48.1660 | + | 25.0111i | 1.67794 | + | 0.871302i | ||||
\(825\) | −2.63424 | −0.0917124 | ||||||||
\(826\) | −35.5778 | − | 7.54623i | −1.23791 | − | 0.262567i | ||||
\(827\) | 1.10671 | + | 1.10671i | 0.0384842 | + | 0.0384842i | 0.726087 | − | 0.687603i | \(-0.241337\pi\) |
−0.687603 | + | 0.726087i | \(0.741337\pi\) | |||||||
\(828\) | 12.9617 | − | 16.4157i | 0.450450 | − | 0.570485i | ||||
\(829\) | −11.9413 | − | 44.5656i | −0.414739 | − | 1.54783i | −0.785357 | − | 0.619043i | \(-0.787521\pi\) |
0.370618 | − | 0.928785i | \(-0.379146\pi\) | |||||||
\(830\) | 0.313718 | − | 0.903557i | 0.0108893 | − | 0.0313629i | ||||
\(831\) | 2.26434 | + | 3.92195i | 0.0785490 | + | 0.136051i | ||||
\(832\) | −16.7497 | − | 45.7284i | −0.580693 | − | 1.58535i | ||||
\(833\) | 16.0136 | − | 4.09487i | 0.554840 | − | 0.141879i | ||||
\(834\) | 0.615964 | + | 3.21289i | 0.0213291 | + | 0.111253i | ||||
\(835\) | 4.51390 | + | 1.20950i | 0.156210 | + | 0.0418563i | ||||
\(836\) | 22.6379 | + | 3.30020i | 0.782947 | + | 0.114140i | ||||
\(837\) | −2.05915 | − | 7.68484i | −0.0711745 | − | 0.265627i | ||||
\(838\) | 23.9390 | + | 1.73577i | 0.826959 | + | 0.0599612i | ||||
\(839\) | 23.6366i | 0.816027i | 0.912976 | + | 0.408013i | \(0.133778\pi\) | ||||
−0.912976 | + | 0.408013i | \(0.866222\pi\) | |||||||
\(840\) | −0.570996 | + | 0.807357i | −0.0197012 | + | 0.0278565i | ||||
\(841\) | 21.4878i | 0.740958i | ||||||||
\(842\) | −2.26599 | + | 31.2516i | −0.0780912 | + | 1.07700i | ||||
\(843\) | −0.938409 | − | 3.50219i | −0.0323205 | − | 0.120622i | ||||
\(844\) | −19.3888 | − | 26.0066i | −0.667389 | − | 0.895185i | ||||
\(845\) | 12.0125 | + | 3.21875i | 0.413244 | + | 0.110728i | ||||
\(846\) | 38.4867 | − | 7.37853i | 1.32320 | − | 0.253679i | ||||
\(847\) | −10.1556 | + | 13.0792i | −0.348949 | + | 0.449408i | ||||
\(848\) | 0.0640326 | − | 2.30890i | 0.00219889 | − | 0.0792879i | ||||
\(849\) | −0.686658 | − | 1.18933i | −0.0235660 | − | 0.0408176i | ||||
\(850\) | 14.9300 | + | 5.18374i | 0.512095 | + | 0.177801i | ||||
\(851\) | −0.920552 | − | 3.43555i | −0.0315561 | − | 0.117769i | ||||
\(852\) | 0.566557 | + | 4.81872i | 0.0194099 | + | 0.165087i | ||||
\(853\) | 8.67274 | + | 8.67274i | 0.296949 | + | 0.296949i | 0.839818 | − | 0.542869i | \(-0.182662\pi\) |
−0.542869 | + | 0.839818i | \(0.682662\pi\) | |||||||
\(854\) | −9.17276 | + | 10.1962i | −0.313885 | + | 0.348908i | ||||
\(855\) | 7.96955 | 0.272553 | ||||||||
\(856\) | 31.2489 | − | 9.88787i | 1.06807 | − | 0.337960i | ||||
\(857\) | 19.6513 | − | 34.0371i | 0.671276 | − | 1.16268i | −0.306267 | − | 0.951946i | \(-0.599080\pi\) |
0.977543 | − | 0.210738i | \(-0.0675867\pi\) | |||||||
\(858\) | −2.08948 | − | 4.31214i | −0.0713337 | − | 0.147214i | ||||
\(859\) | −41.0276 | − | 10.9933i | −1.39984 | − | 0.375087i | −0.521555 | − | 0.853218i | \(-0.674648\pi\) |
−0.878289 | + | 0.478131i | \(0.841315\pi\) | |||||||
\(860\) | 1.29417 | + | 3.25117i | 0.0441310 | + | 0.110864i | ||||
\(861\) | 1.06943 | − | 0.810914i | 0.0364460 | − | 0.0276359i | ||||
\(862\) | −32.1776 | + | 6.16898i | −1.09597 | + | 0.210116i | ||||
\(863\) | −37.2542 | + | 21.5087i | −1.26815 | + | 0.732165i | −0.974637 | − | 0.223790i | \(-0.928157\pi\) |
−0.293510 | + | 0.955956i | \(0.594824\pi\) | |||||||
\(864\) | −3.03835 | + | 8.02563i | −0.103367 | + | 0.273038i | ||||
\(865\) | −4.77669 | + | 8.27347i | −0.162412 | + | 0.281306i | ||||
\(866\) | −30.0916 | − | 34.7965i | −1.02255 | − | 1.18243i | ||||
\(867\) | 2.06496 | + | 2.06496i | 0.0701297 | + | 0.0701297i | ||||
\(868\) | −26.6597 | − | 7.70621i | −0.904890 | − | 0.261566i | ||||
\(869\) | 3.04518 | − | 3.04518i | 0.103301 | − | 0.103301i | ||||
\(870\) | −0.0960284 | + | 1.32438i | −0.00325567 | + | 0.0449008i | ||||
\(871\) | −27.4045 | − | 15.8220i | −0.928565 | − | 0.536108i | ||||
\(872\) | −29.5302 | − | 27.0040i | −1.00002 | − | 0.914471i | ||||
\(873\) | −15.0416 | − | 26.0527i | −0.509080 | − | 0.881752i | ||||
\(874\) | 14.8608 | − | 21.9104i | 0.502674 | − | 0.741132i | ||||
\(875\) | −5.16454 | + | 12.2691i | −0.174593 | + | 0.414772i | ||||
\(876\) | 3.98521 | + | 1.71583i | 0.134648 | + | 0.0579726i | ||||
\(877\) | −3.76697 | + | 14.0585i | −0.127201 | + | 0.474722i | −0.999909 | − | 0.0135219i | \(-0.995696\pi\) |
0.872707 | + | 0.488244i | \(0.162362\pi\) | |||||||
\(878\) | −13.6397 | + | 39.2844i | −0.460316 | + | 1.32578i | ||||
\(879\) | −2.57493 | − | 1.48664i | −0.0868503 | − | 0.0501431i | ||||
\(880\) | 1.28547 | − | 4.31515i | 0.0433331 | − | 0.145464i | ||||
\(881\) | − | 15.1419i | − | 0.510145i | −0.966922 | − | 0.255072i | \(-0.917901\pi\) | ||
0.966922 | − | 0.255072i | \(-0.0820993\pi\) | |||||||
\(882\) | 12.3681 | + | 26.2874i | 0.416455 | + | 0.885144i | ||||
\(883\) | 22.0225 | − | 22.0225i | 0.741116 | − | 0.741116i | −0.231677 | − | 0.972793i | \(-0.574421\pi\) |
0.972793 | + | 0.231677i | \(0.0744213\pi\) | |||||||
\(884\) | 3.35692 | + | 28.5515i | 0.112905 | + | 0.960292i | ||||
\(885\) | −1.24068 | + | 0.332439i | −0.0417050 | + | 0.0111748i | ||||
\(886\) | −8.77557 | − | 18.1105i | −0.294821 | − | 0.608433i | ||||
\(887\) | −10.4138 | + | 6.01243i | −0.349662 | + | 0.201877i | −0.664536 | − | 0.747256i | \(-0.731371\pi\) |
0.314874 | + | 0.949133i | \(0.398038\pi\) | |||||||
\(888\) | 0.388339 | + | 0.608197i | 0.0130318 | + | 0.0204098i | ||||
\(889\) | 8.04970 | + | 19.7529i | 0.269978 | + | 0.662490i | ||||
\(890\) | −6.07781 | + | 8.96099i | −0.203729 | + | 0.300373i | ||||
\(891\) | 4.74307 | − | 17.7014i | 0.158899 | − | 0.593019i | ||||
\(892\) | 2.38814 | − | 16.3815i | 0.0799609 | − | 0.548495i | ||||
\(893\) | 47.9120 | − | 12.8380i | 1.60331 | − | 0.429607i | ||||
\(894\) | −4.06851 | + | 3.51840i | −0.136071 | + | 0.117673i | ||||
\(895\) | 8.53615 | 0.285332 | ||||||||
\(896\) | 18.4871 | + | 23.5420i | 0.617611 | + | 0.786483i | ||||
\(897\) | −5.54523 | −0.185150 | ||||||||
\(898\) | 4.30199 | − | 3.72031i | 0.143559 | − | 0.124148i | ||||
\(899\) | −35.9948 | + | 9.64476i | −1.20049 | + | 0.321671i | ||||
\(900\) | −4.00720 | + | 27.4875i | −0.133573 | + | 0.916250i | ||||
\(901\) | −0.352902 | + | 1.31705i | −0.0117569 | + | 0.0438772i | ||||
\(902\) | −3.43019 | + | 5.05741i | −0.114213 | + | 0.168393i | ||||
\(903\) | −2.26764 | − | 0.311761i | −0.0754624 | − | 0.0103748i | ||||
\(904\) | 13.4293 | + | 21.0322i | 0.446651 | + | 0.699522i | ||||
\(905\) | 8.97434 | − | 5.18134i | 0.298317 | − | 0.172233i | ||||
\(906\) | −1.17881 | − | 2.43276i | −0.0391635 | − | 0.0808232i | ||||
\(907\) | −35.8938 | + | 9.61773i | −1.19184 | + | 0.319351i | −0.799611 | − | 0.600518i | \(-0.794961\pi\) |
−0.392224 | + | 0.919870i | \(0.628294\pi\) | |||||||
\(908\) | 1.61805 | + | 13.7620i | 0.0536970 | + | 0.456707i | ||||
\(909\) | 18.4561 | − | 18.4561i | 0.612150 | − | 0.612150i | ||||
\(910\) | −11.7583 | + | 0.621324i | −0.389784 | + | 0.0205967i | ||||
\(911\) | 39.6140i | 1.31247i | 0.754557 | + | 0.656234i | \(0.227852\pi\) | ||||
−0.754557 | + | 0.656234i | \(0.772148\pi\) | |||||||
\(912\) | −1.53349 | + | 5.14773i | −0.0507788 | + | 0.170458i | ||||
\(913\) | −2.46708 | − | 1.42437i | −0.0816484 | − | 0.0471397i | ||||
\(914\) | 7.94724 | − | 22.8893i | 0.262871 | − | 0.757112i | ||||
\(915\) | −0.125364 | + | 0.467866i | −0.00414442 | + | 0.0154672i | ||||
\(916\) | −3.88322 | − | 1.67192i | −0.128305 | − | 0.0552418i | ||||
\(917\) | −6.58822 | − | 52.3575i | −0.217562 | − | 1.72900i | ||||
\(918\) | 2.84355 | − | 4.19247i | 0.0938511 | − | 0.138372i | ||||
\(919\) | 17.6814 | + | 30.6250i | 0.583255 | + | 1.01023i | 0.995091 | + | 0.0989687i | \(0.0315544\pi\) |
−0.411836 | + | 0.911258i | \(0.635112\pi\) | |||||||
\(920\) | −3.84526 | − | 3.51630i | −0.126774 | − | 0.115929i | ||||
\(921\) | 3.17592 | + | 1.83362i | 0.104650 | + | 0.0604198i | ||||
\(922\) | 2.53253 | − | 34.9276i | 0.0834044 | − | 1.15028i | ||||
\(923\) | −40.8516 | + | 40.8516i | −1.34465 | + | 1.34465i | ||||
\(924\) | 2.04140 | + | 2.12299i | 0.0671572 | + | 0.0698412i | ||||
\(925\) | 3.34010 | + | 3.34010i | 0.109822 | + | 0.109822i | ||||
\(926\) | −27.6478 | − | 31.9706i | −0.908563 | − | 1.05062i | ||||
\(927\) | 28.1555 | − | 48.7667i | 0.924748 | − | 1.60171i | ||||
\(928\) | 37.5910 | + | 14.2312i | 1.23398 | + | 0.467163i | ||||
\(929\) | −2.53541 | + | 1.46382i | −0.0831840 | + | 0.0480263i | −0.541015 | − | 0.841013i | \(-0.681960\pi\) |
0.457831 | + | 0.889039i | \(0.348626\pi\) | |||||||
\(930\) | −0.962551 | + | 0.184537i | −0.0315633 | + | 0.00605120i | ||||
\(931\) | 18.0203 | + | 32.0544i | 0.590592 | + | 1.05054i | ||||
\(932\) | 14.3421 | + | 36.0297i | 0.469791 | + | 1.18019i | ||||
\(933\) | −6.83392 | − | 1.83114i | −0.223732 | − | 0.0599489i | ||||
\(934\) | 8.67838 | + | 17.9099i | 0.283965 | + | 0.586030i | ||||
\(935\) | −1.32897 | + | 2.30184i | −0.0434619 | + | 0.0752782i | ||||
\(936\) | −48.1744 | + | 15.2435i | −1.57463 | + | 0.498249i | ||||
\(937\) | 38.5253 | 1.25857 | 0.629283 | − | 0.777176i | \(-0.283348\pi\) | ||||
0.629283 | + | 0.777176i | \(0.283348\pi\) | |||||||
\(938\) | 19.0268 | + | 4.03566i | 0.621245 | + | 0.131769i | ||||
\(939\) | −3.65716 | − | 3.65716i | −0.119347 | − | 0.119347i | ||||
\(940\) | −1.13995 | − | 9.69563i | −0.0371812 | − | 0.316237i | ||||
\(941\) | 0.0696597 | + | 0.259973i | 0.00227084 | + | 0.00847489i | 0.967052 | − | 0.254579i | \(-0.0819369\pi\) |
−0.964781 | + | 0.263054i | \(0.915270\pi\) | |||||||
\(942\) | −1.99913 | − | 0.694104i | −0.0651353 | − | 0.0226151i | ||||
\(943\) | 3.53596 | + | 6.12446i | 0.115147 | + | 0.199440i | ||||
\(944\) | −1.07786 | + | 38.8655i | −0.0350812 | + | 1.26496i | ||||
\(945\) | 1.63884 | + | 1.27250i | 0.0533115 | + | 0.0413945i | ||||
\(946\) | 10.2358 | − | 1.96238i | 0.332795 | − | 0.0638024i | ||||
\(947\) | −42.3504 | − | 11.3478i | −1.37620 | − | 0.368753i | −0.506463 | − | 0.862261i | \(-0.669047\pi\) |
−0.869741 | + | 0.493509i | \(0.835714\pi\) | |||||||
\(948\) | 0.604353 | + | 0.810634i | 0.0196285 | + | 0.0263282i | ||||
\(949\) | 13.3717 | + | 49.9038i | 0.434064 | + | 1.61995i | ||||
\(950\) | −2.54274 | + | 35.0684i | −0.0824972 | + | 1.13777i | ||||
\(951\) | 2.33641i | 0.0757632i | ||||||||
\(952\) | −7.39231 | − | 16.0495i | −0.239586 | − | 0.520168i | ||||
\(953\) | − | 40.1902i | − | 1.30189i | −0.759125 | − | 0.650945i | \(-0.774373\pi\) | ||
0.759125 | − | 0.650945i | \(-0.225627\pi\) | |||||||
\(954\) | −2.39026 | − | 0.173313i | −0.0773876 | − | 0.00561122i | ||||
\(955\) | 2.03708 | + | 7.60248i | 0.0659183 | + | 0.246011i | ||||
\(956\) | 24.0298 | + | 3.50313i | 0.777181 | + | 0.113299i | ||||
\(957\) | 3.82013 | + | 1.02360i | 0.123487 | + | 0.0330883i | ||||
\(958\) | 2.45832 | + | 12.8227i | 0.0794246 | + | 0.414282i | ||||
\(959\) | −1.73610 | − | 0.238683i | −0.0560617 | − | 0.00770749i | ||||
\(960\) | 0.959010 | + | 0.444809i | 0.0309519 | + | 0.0143561i | ||||
\(961\) | 1.74773 | + | 3.02716i | 0.0563783 | + | 0.0976502i | ||||
\(962\) | −2.81824 | + | 8.11698i | −0.0908636 | + | 0.261702i | ||||
\(963\) | −8.80165 | − | 32.8482i | −0.283629 | − | 1.05852i | ||||
\(964\) | 15.5525 | − | 19.6969i | 0.500911 | − | 0.634394i | ||||
\(965\) | −5.92388 | − | 5.92388i | −0.190697 | − | 0.190697i | ||||
\(966\) | 3.24111 | − | 1.05465i | 0.104281 | − | 0.0339328i | ||||
\(967\) | −13.9779 | −0.449498 | −0.224749 | − | 0.974417i | \(-0.572156\pi\) | ||||
−0.224749 | + | 0.974417i | \(0.572156\pi\) | |||||||
\(968\) | 15.7105 | + | 8.15798i | 0.504955 | + | 0.262207i | ||||
\(969\) | 1.58538 | − | 2.74596i | 0.0509298 | − | 0.0882130i | ||||
\(970\) | −6.74425 | + | 3.26798i | −0.216545 | + | 0.104928i | ||||
\(971\) | −8.02262 | − | 2.14965i | −0.257458 | − | 0.0689857i | 0.127781 | − | 0.991802i | \(-0.459214\pi\) |
−0.385239 | + | 0.922817i | \(0.625881\pi\) | |||||||
\(972\) | 12.3121 | + | 5.30096i | 0.394910 | + | 0.170028i | ||||
\(973\) | 9.28902 | − | 22.0674i | 0.297792 | − | 0.707449i | ||||
\(974\) | −3.53930 | − | 18.4611i | −0.113407 | − | 0.591533i | ||||
\(975\) | 6.37783 | − | 3.68224i | 0.204254 | − | 0.117926i | ||||
\(976\) | 12.4896 | + | 7.68020i | 0.399781 | + | 0.245837i | ||||
\(977\) | 2.64300 | − | 4.57781i | 0.0845570 | − | 0.146457i | −0.820645 | − | 0.571438i | \(-0.806386\pi\) |
0.905202 | + | 0.424981i | \(0.139719\pi\) | |||||||
\(978\) | −1.27521 | + | 1.10278i | −0.0407766 | + | 0.0352631i | ||||
\(979\) | 22.8036 | + | 22.8036i | 0.728805 | + | 0.728805i | ||||
\(980\) | 6.75440 | − | 2.59947i | 0.215761 | − | 0.0830372i | ||||
\(981\) | −29.3581 | + | 29.3581i | −0.937331 | + | 0.937331i | ||||
\(982\) | −31.6676 | − | 2.29615i | −1.01055 | − | 0.0732732i | ||||
\(983\) | −3.47962 | − | 2.00896i | −0.110982 | − | 0.0640758i | 0.443481 | − | 0.896284i | \(-0.353743\pi\) |
−0.554464 | + | 0.832208i | \(0.687077\pi\) | |||||||
\(984\) | −1.05882 | − | 0.968238i | −0.0337539 | − | 0.0308663i | ||||
\(985\) | −1.72671 | − | 2.99074i | −0.0550174 | − | 0.0952929i | ||||
\(986\) | −19.6369 | − | 13.3188i | −0.625368 | − | 0.424157i | ||||
\(987\) | 5.88566 | + | 2.47750i | 0.187343 | + | 0.0788596i | ||||
\(988\) | −59.4223 | + | 23.6539i | −1.89048 | + | 0.752530i | ||||
\(989\) | 3.12167 | − | 11.6502i | 0.0992632 | − | 0.370455i | ||||
\(990\) | −4.41322 | − | 1.53228i | −0.140261 | − | 0.0486992i | ||||
\(991\) | −1.44893 | − | 0.836541i | −0.0460268 | − | 0.0265736i | 0.476810 | − | 0.879006i | \(-0.341793\pi\) |
−0.522837 | + | 0.852433i | \(0.675126\pi\) | |||||||
\(992\) | −2.96495 | + | 29.5187i | −0.0941371 | + | 0.937220i | ||||
\(993\) | − | 7.14060i | − | 0.226600i | ||||||
\(994\) | 16.1076 | − | 31.6468i | 0.510903 | − | 1.00378i | ||||
\(995\) | 2.58985 | − | 2.58985i | 0.0821039 | − | 0.0821039i | ||||
\(996\) | 0.414486 | − | 0.524938i | 0.0131335 | − | 0.0166333i | ||||
\(997\) | 4.81753 | − | 1.29085i | 0.152573 | − | 0.0408817i | −0.181724 | − | 0.983350i | \(-0.558168\pi\) |
0.334297 | + | 0.942468i | \(0.391501\pi\) | |||||||
\(998\) | −39.8201 | + | 19.2951i | −1.26048 | + | 0.610777i | ||||
\(999\) | 1.31123 | − | 0.757041i | 0.0414856 | − | 0.0239517i |
(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 | 112.2.v.a.3.12 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.7 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.2 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.15 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.16 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.2 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.12 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.8 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.7 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.7 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.7 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.2 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.8 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.7 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.7 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.8 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.7 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.15 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.7 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.2 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.16 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.8 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.12 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.12 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.12 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.2 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.2 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.12 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.7 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.7 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.7 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.7 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.15 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.195.16 | 56 | 7.4 | even | 3 | |||
784.2.j.a.587.15 | 56 | 112.11 | odd | 12 | |||
784.2.j.a.587.16 | 56 | 112.59 | even | 12 | |||
784.2.w.f.19.2 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.12 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.12 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.2 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.8 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.8 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.8 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.8 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.7 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.7 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.7 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.7 | 56 | 56.5 | odd | 6 |