Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [111,2,Mod(4,111)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(111, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("111.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 111 = 3 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 111.o (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.886339462436\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | 12.0.15342238784889.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 12x^{10} + 48x^{8} + 77x^{6} + 48x^{4} + 12x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Root | \(-1.83156i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 111.4 |
Dual form | 111.2.o.a.28.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/111\mathbb{Z}\right)^\times\).
\(n\) | \(38\) | \(76\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.80373 | + | 0.318047i | 1.27543 | + | 0.224893i | 0.770039 | − | 0.637997i | \(-0.220237\pi\) |
0.505393 | + | 0.862890i | \(0.331348\pi\) | |||||||
\(3\) | −0.173648 | − | 0.984808i | −0.100256 | − | 0.568579i | ||||
\(4\) | 1.27291 | + | 0.463303i | 0.636457 | + | 0.231651i | ||||
\(5\) | 0.537688 | + | 0.640792i | 0.240462 | + | 0.286571i | 0.872755 | − | 0.488158i | \(-0.162331\pi\) |
−0.632294 | + | 0.774729i | \(0.717886\pi\) | |||||||
\(6\) | − | 1.83156i | − | 0.747731i | ||||||
\(7\) | −0.541619 | + | 0.454472i | −0.204713 | + | 0.171774i | −0.739380 | − | 0.673288i | \(-0.764881\pi\) |
0.534667 | + | 0.845063i | \(0.320437\pi\) | |||||||
\(8\) | −1.02371 | − | 0.591038i | −0.361936 | − | 0.208964i | ||||
\(9\) | −0.939693 | + | 0.342020i | −0.313231 | + | 0.114007i | ||||
\(10\) | 0.766044 | + | 1.32683i | 0.242245 | + | 0.419580i | ||||
\(11\) | −1.05774 | + | 1.83206i | −0.318921 | + | 0.552388i | −0.980263 | − | 0.197697i | \(-0.936654\pi\) |
0.661342 | + | 0.750084i | \(0.269987\pi\) | |||||||
\(12\) | 0.235225 | − | 1.33403i | 0.0679036 | − | 0.385100i | ||||
\(13\) | 0.188102 | − | 0.516807i | 0.0521702 | − | 0.143336i | −0.910871 | − | 0.412692i | \(-0.864589\pi\) |
0.963041 | + | 0.269356i | \(0.0868108\pi\) | |||||||
\(14\) | −1.12148 | + | 0.647486i | −0.299728 | + | 0.173048i | ||||
\(15\) | 0.537688 | − | 0.640792i | 0.138831 | − | 0.165452i | ||||
\(16\) | −3.73390 | − | 3.13311i | −0.933474 | − | 0.783278i | ||||
\(17\) | 0.603016 | + | 1.65677i | 0.146253 | + | 0.401826i | 0.991089 | − | 0.133198i | \(-0.0425247\pi\) |
−0.844837 | + | 0.535024i | \(0.820302\pi\) | |||||||
\(18\) | −1.80373 | + | 0.318047i | −0.425144 | + | 0.0749643i | ||||
\(19\) | −1.07794 | + | 0.190070i | −0.247297 | + | 0.0436051i | −0.295922 | − | 0.955212i | \(-0.595627\pi\) |
0.0486256 | + | 0.998817i | \(0.484516\pi\) | |||||||
\(20\) | 0.387550 | + | 1.06479i | 0.0866588 | + | 0.238093i | ||||
\(21\) | 0.541619 | + | 0.454472i | 0.118191 | + | 0.0991739i | ||||
\(22\) | −2.49057 | + | 2.96814i | −0.530990 | + | 0.632810i | ||||
\(23\) | −3.36336 | + | 1.94184i | −0.701310 | + | 0.404902i | −0.807835 | − | 0.589408i | \(-0.799361\pi\) |
0.106525 | + | 0.994310i | \(0.466028\pi\) | |||||||
\(24\) | −0.404294 | + | 1.11079i | −0.0825262 | + | 0.226739i | ||||
\(25\) | 0.746735 | − | 4.23495i | 0.149347 | − | 0.846989i | ||||
\(26\) | 0.503655 | − | 0.872356i | 0.0987748 | − | 0.171083i | ||||
\(27\) | 0.500000 | + | 0.866025i | 0.0962250 | + | 0.166667i | ||||
\(28\) | −0.899992 | + | 0.327570i | −0.170082 | + | 0.0619050i | ||||
\(29\) | 6.53071 | + | 3.77051i | 1.21272 | + | 0.700165i | 0.963351 | − | 0.268243i | \(-0.0864429\pi\) |
0.249371 | + | 0.968408i | \(0.419776\pi\) | |||||||
\(30\) | 1.17365 | − | 0.984808i | 0.214278 | − | 0.179800i | ||||
\(31\) | − | 5.68394i | − | 1.02087i | −0.859917 | − | 0.510433i | \(-0.829485\pi\) | ||
0.859917 | − | 0.510433i | \(-0.170515\pi\) | |||||||
\(32\) | −4.21883 | − | 5.02780i | −0.745790 | − | 0.888798i | ||||
\(33\) | 1.98790 | + | 0.723538i | 0.346050 | + | 0.125952i | ||||
\(34\) | 0.560748 | + | 3.18016i | 0.0961675 | + | 0.545393i | ||||
\(35\) | −0.582444 | − | 0.102701i | −0.0984511 | − | 0.0173596i | ||||
\(36\) | −1.35461 | −0.225768 | ||||||||
\(37\) | 4.57661 | − | 4.00682i | 0.752391 | − | 0.658717i | ||||
\(38\) | −2.00477 | −0.325217 | ||||||||
\(39\) | −0.541619 | − | 0.0955020i | −0.0867284 | − | 0.0152926i | ||||
\(40\) | −0.171703 | − | 0.973779i | −0.0271487 | − | 0.153968i | ||||
\(41\) | 6.51279 | + | 2.37046i | 1.01713 | + | 0.370204i | 0.796165 | − | 0.605079i | \(-0.206858\pi\) |
0.220961 | + | 0.975283i | \(0.429081\pi\) | |||||||
\(42\) | 0.832392 | + | 0.992006i | 0.128441 | + | 0.153070i | ||||
\(43\) | − | 8.86481i | − | 1.35187i | −0.736961 | − | 0.675935i | \(-0.763740\pi\) | ||
0.736961 | − | 0.675935i | \(-0.236260\pi\) | |||||||
\(44\) | −2.19521 | + | 1.84200i | −0.330941 | + | 0.277692i | ||||
\(45\) | −0.724426 | − | 0.418247i | −0.107991 | − | 0.0623486i | ||||
\(46\) | −6.68421 | + | 2.43285i | −0.985533 | + | 0.358705i | ||||
\(47\) | 4.86426 | + | 8.42514i | 0.709525 | + | 1.22893i | 0.965034 | + | 0.262126i | \(0.0844236\pi\) |
−0.255509 | + | 0.966807i | \(0.582243\pi\) | |||||||
\(48\) | −2.43713 | + | 4.22123i | −0.351769 | + | 0.609282i | ||||
\(49\) | −1.12873 | + | 6.40135i | −0.161247 | + | 0.914479i | ||||
\(50\) | 2.69382 | − | 7.40121i | 0.380964 | − | 1.04669i | ||||
\(51\) | 1.52689 | − | 0.881550i | 0.213807 | − | 0.123442i | ||||
\(52\) | 0.478876 | − | 0.570702i | 0.0664081 | − | 0.0791421i | ||||
\(53\) | −6.10641 | − | 5.12389i | −0.838780 | − | 0.703820i | 0.118509 | − | 0.992953i | \(-0.462189\pi\) |
−0.957289 | + | 0.289133i | \(0.906633\pi\) | |||||||
\(54\) | 0.626430 | + | 1.72110i | 0.0852463 | + | 0.234212i | ||||
\(55\) | −1.74271 | + | 0.307286i | −0.234987 | + | 0.0414345i | ||||
\(56\) | 0.823070 | − | 0.145129i | 0.109987 | − | 0.0193937i | ||||
\(57\) | 0.374365 | + | 1.02856i | 0.0495859 | + | 0.136236i | ||||
\(58\) | 10.5805 | + | 8.87806i | 1.38928 | + | 1.16575i | ||||
\(59\) | −4.86717 | + | 5.80047i | −0.633652 | + | 0.755157i | −0.983353 | − | 0.181704i | \(-0.941839\pi\) |
0.349701 | + | 0.936861i | \(0.386283\pi\) | |||||||
\(60\) | 0.981311 | − | 0.566560i | 0.126687 | − | 0.0731426i | ||||
\(61\) | −1.43734 | + | 3.94906i | −0.184033 | + | 0.505626i | −0.997062 | − | 0.0765969i | \(-0.975595\pi\) |
0.813029 | + | 0.582223i | \(0.197817\pi\) | |||||||
\(62\) | 1.80776 | − | 10.2523i | 0.229586 | − | 1.30205i | ||||
\(63\) | 0.353517 | − | 0.612309i | 0.0445389 | − | 0.0771436i | ||||
\(64\) | −1.13630 | − | 1.96814i | −0.142038 | − | 0.246017i | ||||
\(65\) | 0.432306 | − | 0.157347i | 0.0536210 | − | 0.0195164i | ||||
\(66\) | 3.35553 | + | 1.93732i | 0.413037 | + | 0.238467i | ||||
\(67\) | −2.29401 | + | 1.92490i | −0.280257 | + | 0.235164i | −0.772070 | − | 0.635537i | \(-0.780779\pi\) |
0.491813 | + | 0.870701i | \(0.336334\pi\) | |||||||
\(68\) | 2.38831i | 0.289625i | ||||||||
\(69\) | 2.49638 | + | 2.97507i | 0.300529 | + | 0.358156i | ||||
\(70\) | −1.01791 | − | 0.370489i | −0.121664 | − | 0.0442819i | ||||
\(71\) | −2.63791 | − | 14.9603i | −0.313062 | − | 1.77546i | −0.582887 | − | 0.812553i | \(-0.698077\pi\) |
0.269825 | − | 0.962909i | \(-0.413034\pi\) | |||||||
\(72\) | 1.16412 | + | 0.205265i | 0.137193 | + | 0.0241908i | ||||
\(73\) | 10.3607 | 1.21263 | 0.606313 | − | 0.795226i | \(-0.292648\pi\) | ||||
0.606313 | + | 0.795226i | \(0.292648\pi\) | |||||||
\(74\) | 9.52934 | − | 5.77166i | 1.10776 | − | 0.670942i | ||||
\(75\) | −4.30028 | −0.496553 | ||||||||
\(76\) | −1.46019 | − | 0.257470i | −0.167495 | − | 0.0295339i | ||||
\(77\) | −0.259729 | − | 1.47299i | −0.0295988 | − | 0.167863i | ||||
\(78\) | −0.946561 | − | 0.344520i | −0.107177 | − | 0.0390092i | ||||
\(79\) | 2.66662 | + | 3.17795i | 0.300018 | + | 0.357547i | 0.894901 | − | 0.446265i | \(-0.147246\pi\) |
−0.594883 | + | 0.803812i | \(0.702802\pi\) | |||||||
\(80\) | − | 4.07729i | − | 0.455855i | ||||||
\(81\) | 0.766044 | − | 0.642788i | 0.0851160 | − | 0.0714208i | ||||
\(82\) | 10.9934 | + | 6.34705i | 1.21402 | + | 0.700914i | ||||
\(83\) | −5.23250 | + | 1.90447i | −0.574341 | + | 0.209043i | −0.612828 | − | 0.790216i | \(-0.709968\pi\) |
0.0384873 | + | 0.999259i | \(0.487746\pi\) | |||||||
\(84\) | 0.478876 | + | 0.829437i | 0.0522496 | + | 0.0904990i | ||||
\(85\) | −0.737412 | + | 1.27723i | −0.0799835 | + | 0.138536i | ||||
\(86\) | 2.81942 | − | 15.9897i | 0.304026 | − | 1.72422i | ||||
\(87\) | 2.57918 | − | 7.08623i | 0.276517 | − | 0.759724i | ||||
\(88\) | 2.16564 | − | 1.25033i | 0.230858 | − | 0.133286i | ||||
\(89\) | −1.88396 | + | 2.24521i | −0.199699 | + | 0.237992i | −0.856595 | − | 0.515989i | \(-0.827425\pi\) |
0.656896 | + | 0.753981i | \(0.271869\pi\) | |||||||
\(90\) | −1.17365 | − | 0.984808i | −0.123713 | − | 0.103808i | ||||
\(91\) | 0.132994 | + | 0.365399i | 0.0139416 | + | 0.0383043i | ||||
\(92\) | −5.18093 | + | 0.913538i | −0.540149 | + | 0.0952429i | ||||
\(93\) | −5.59759 | + | 0.987006i | −0.580443 | + | 0.102348i | ||||
\(94\) | 6.09423 | + | 16.7438i | 0.628572 | + | 1.72699i | ||||
\(95\) | −0.701393 | − | 0.588538i | −0.0719614 | − | 0.0603828i | ||||
\(96\) | −4.21883 | + | 5.02780i | −0.430582 | + | 0.513148i | ||||
\(97\) | −13.2943 | + | 7.67547i | −1.34983 | + | 0.779325i | −0.988225 | − | 0.153006i | \(-0.951105\pi\) |
−0.361606 | + | 0.932331i | \(0.617771\pi\) | |||||||
\(98\) | −4.07186 | + | 11.1873i | −0.411320 | + | 1.13009i | ||||
\(99\) | 0.367350 | − | 2.08335i | 0.0369201 | − | 0.209384i | ||||
\(100\) | 2.91259 | − | 5.04475i | 0.291259 | − | 0.504475i | ||||
\(101\) | −0.174353 | − | 0.301988i | −0.0173488 | − | 0.0300489i | 0.857221 | − | 0.514949i | \(-0.172189\pi\) |
−0.874569 | + | 0.484900i | \(0.838856\pi\) | |||||||
\(102\) | 3.03447 | − | 1.10446i | 0.300458 | − | 0.109358i | ||||
\(103\) | 3.82263 | + | 2.20700i | 0.376655 | + | 0.217462i | 0.676362 | − | 0.736570i | \(-0.263556\pi\) |
−0.299707 | + | 0.954031i | \(0.596889\pi\) | |||||||
\(104\) | −0.498014 | + | 0.417884i | −0.0488343 | + | 0.0409769i | ||||
\(105\) | 0.591429i | 0.0577176i | ||||||||
\(106\) | −9.38470 | − | 11.1842i | −0.911523 | − | 1.08631i | ||||
\(107\) | −16.5206 | − | 6.01300i | −1.59711 | − | 0.581299i | −0.618273 | − | 0.785963i | \(-0.712167\pi\) |
−0.978832 | + | 0.204664i | \(0.934390\pi\) | |||||||
\(108\) | 0.235225 | + | 1.33403i | 0.0226345 | + | 0.128367i | ||||
\(109\) | −13.8813 | − | 2.44765i | −1.32959 | − | 0.234442i | −0.536682 | − | 0.843785i | \(-0.680322\pi\) |
−0.792907 | + | 0.609343i | \(0.791433\pi\) | |||||||
\(110\) | −3.24111 | −0.309028 | ||||||||
\(111\) | −4.74067 | − | 3.81131i | −0.449964 | − | 0.361753i | ||||
\(112\) | 3.44626 | 0.325641 | ||||||||
\(113\) | −1.23573 | − | 0.217892i | −0.116247 | − | 0.0204976i | 0.115222 | − | 0.993340i | \(-0.463242\pi\) |
−0.231469 | + | 0.972842i | \(0.574353\pi\) | |||||||
\(114\) | 0.348125 | + | 1.97431i | 0.0326049 | + | 0.184911i | ||||
\(115\) | −3.05276 | − | 1.11111i | −0.284671 | − | 0.103612i | ||||
\(116\) | 6.56614 | + | 7.82522i | 0.609651 | + | 0.726554i | ||||
\(117\) | 0.549974i | 0.0508451i | ||||||||
\(118\) | −10.6239 | + | 8.91451i | −0.978009 | + | 0.820647i | ||||
\(119\) | −1.07956 | − | 0.623285i | −0.0989632 | − | 0.0571364i | ||||
\(120\) | −0.929169 | + | 0.338190i | −0.0848211 | + | 0.0308724i | ||||
\(121\) | 3.26236 | + | 5.65058i | 0.296579 | + | 0.513689i | ||||
\(122\) | −3.84857 | + | 6.66591i | −0.348433 | + | 0.603503i | ||||
\(123\) | 1.20351 | − | 6.82547i | 0.108517 | − | 0.615432i | ||||
\(124\) | 2.63339 | − | 7.23517i | 0.236485 | − | 0.649737i | ||||
\(125\) | 6.73736 | − | 3.88982i | 0.602608 | − | 0.347916i | ||||
\(126\) | 0.832392 | − | 0.992006i | 0.0741554 | − | 0.0883750i | ||||
\(127\) | −13.2564 | − | 11.1234i | −1.17631 | − | 0.987043i | −0.999996 | − | 0.00270990i | \(-0.999137\pi\) |
−0.176316 | − | 0.984334i | \(-0.556418\pi\) | |||||||
\(128\) | 3.06595 | + | 8.42363i | 0.270994 | + | 0.744551i | ||||
\(129\) | −8.73013 | + | 1.53936i | −0.768645 | + | 0.135533i | ||||
\(130\) | 0.829808 | − | 0.146318i | 0.0727790 | − | 0.0128329i | ||||
\(131\) | 4.19803 | + | 11.5340i | 0.366784 | + | 1.00773i | 0.976577 | + | 0.215169i | \(0.0690304\pi\) |
−0.609793 | + | 0.792561i | \(0.708747\pi\) | |||||||
\(132\) | 2.19521 | + | 1.84200i | 0.191069 | + | 0.160326i | ||||
\(133\) | 0.497452 | − | 0.592840i | 0.0431346 | − | 0.0514058i | ||||
\(134\) | −4.74998 | + | 2.74240i | −0.410336 | + | 0.236908i | ||||
\(135\) | −0.286098 | + | 0.786048i | −0.0246234 | + | 0.0676522i | ||||
\(136\) | 0.361904 | − | 2.05246i | 0.0310330 | − | 0.175997i | ||||
\(137\) | −1.13625 | + | 1.96805i | −0.0970767 | + | 0.168142i | −0.910473 | − | 0.413568i | \(-0.864283\pi\) |
0.813397 | + | 0.581709i | \(0.197616\pi\) | |||||||
\(138\) | 3.55659 | + | 6.16020i | 0.302757 | + | 0.524391i | ||||
\(139\) | 0.759891 | − | 0.276578i | 0.0644531 | − | 0.0234590i | −0.309592 | − | 0.950869i | \(-0.600193\pi\) |
0.374046 | + | 0.927410i | \(0.377970\pi\) | |||||||
\(140\) | −0.693820 | − | 0.400577i | −0.0586385 | − | 0.0338549i | ||||
\(141\) | 7.45247 | − | 6.25337i | 0.627611 | − | 0.526628i | ||||
\(142\) | − | 27.8234i | − | 2.33489i | ||||||
\(143\) | 0.747859 | + | 0.891263i | 0.0625391 | + | 0.0745312i | ||||
\(144\) | 4.58030 | + | 1.66709i | 0.381692 | + | 0.138924i | ||||
\(145\) | 1.09538 | + | 6.21218i | 0.0909660 | + | 0.515894i | ||||
\(146\) | 18.6879 | + | 3.29518i | 1.54662 | + | 0.272711i | ||||
\(147\) | 6.50010 | 0.536120 | ||||||||
\(148\) | 7.68200 | − | 2.97998i | 0.631457 | − | 0.244953i | ||||
\(149\) | 4.77906 | 0.391516 | 0.195758 | − | 0.980652i | \(-0.437283\pi\) | ||||
0.195758 | + | 0.980652i | \(0.437283\pi\) | |||||||
\(150\) | −7.75655 | − | 1.36769i | −0.633320 | − | 0.111671i | ||||
\(151\) | 0.258866 | + | 1.46810i | 0.0210662 | + | 0.119473i | 0.993527 | − | 0.113592i | \(-0.0362357\pi\) |
−0.972461 | + | 0.233065i | \(0.925125\pi\) | |||||||
\(152\) | 1.21584 | + | 0.442529i | 0.0986174 | + | 0.0358938i | ||||
\(153\) | −1.13330 | − | 1.35061i | −0.0916218 | − | 0.109191i | ||||
\(154\) | − | 2.73949i | − | 0.220755i | ||||||
\(155\) | 3.64223 | − | 3.05619i | 0.292551 | − | 0.245479i | ||||
\(156\) | −0.645187 | − | 0.372499i | −0.0516563 | − | 0.0298238i | ||||
\(157\) | 14.5320 | − | 5.28922i | 1.15978 | − | 0.422125i | 0.310761 | − | 0.950488i | \(-0.399416\pi\) |
0.849019 | + | 0.528363i | \(0.177194\pi\) | |||||||
\(158\) | 3.79913 | + | 6.58028i | 0.302242 | + | 0.523499i | ||||
\(159\) | −3.98568 | + | 6.90340i | −0.316085 | + | 0.547475i | ||||
\(160\) | 0.953361 | − | 5.40678i | 0.0753698 | − | 0.427444i | ||||
\(161\) | 0.939150 | − | 2.58029i | 0.0740154 | − | 0.203356i | ||||
\(162\) | 1.58618 | − | 0.915779i | 0.124622 | − | 0.0719504i | ||||
\(163\) | 8.81726 | − | 10.5080i | 0.690621 | − | 0.823051i | −0.300809 | − | 0.953684i | \(-0.597257\pi\) |
0.991431 | + | 0.130634i | \(0.0417012\pi\) | |||||||
\(164\) | 7.19197 | + | 6.03478i | 0.561599 | + | 0.471237i | ||||
\(165\) | 0.605236 | + | 1.66287i | 0.0471175 | + | 0.129454i | ||||
\(166\) | −10.0437 | + | 1.77098i | −0.779545 | + | 0.137455i | ||||
\(167\) | 5.93220 | − | 1.04601i | 0.459047 | − | 0.0809424i | 0.0606575 | − | 0.998159i | \(-0.480680\pi\) |
0.398390 | + | 0.917216i | \(0.369569\pi\) | |||||||
\(168\) | −0.285849 | − | 0.785364i | −0.0220537 | − | 0.0605922i | ||||
\(169\) | 9.72687 | + | 8.16181i | 0.748221 | + | 0.627832i | ||||
\(170\) | −1.73631 | + | 2.06926i | −0.133169 | + | 0.158705i | ||||
\(171\) | 0.947926 | − | 0.547286i | 0.0724897 | − | 0.0418520i | ||||
\(172\) | 4.10709 | − | 11.2841i | 0.313162 | − | 0.860407i | ||||
\(173\) | 1.04292 | − | 5.91470i | 0.0792918 | − | 0.449686i | −0.919151 | − | 0.393905i | \(-0.871124\pi\) |
0.998443 | − | 0.0557814i | \(-0.0177650\pi\) | |||||||
\(174\) | 6.90590 | − | 11.9614i | 0.523535 | − | 0.906789i | ||||
\(175\) | 1.52022 | + | 2.63310i | 0.114918 | + | 0.199043i | ||||
\(176\) | 9.68955 | − | 3.52671i | 0.730378 | − | 0.265836i | ||||
\(177\) | 6.55752 | + | 3.78599i | 0.492894 | + | 0.284572i | ||||
\(178\) | −4.11224 | + | 3.45058i | −0.308226 | + | 0.258632i | ||||
\(179\) | 21.1169i | 1.57835i | 0.614168 | + | 0.789175i | \(0.289492\pi\) | ||||
−0.614168 | + | 0.789175i | \(0.710508\pi\) | |||||||
\(180\) | −0.728356 | − | 0.868021i | −0.0542885 | − | 0.0646985i | ||||
\(181\) | −20.9626 | − | 7.62977i | −1.55814 | − | 0.567117i | −0.587831 | − | 0.808984i | \(-0.700018\pi\) |
−0.970309 | + | 0.241867i | \(0.922240\pi\) | |||||||
\(182\) | 0.123672 | + | 0.701381i | 0.00916721 | + | 0.0519898i | ||||
\(183\) | 4.13866 | + | 0.729757i | 0.305938 | + | 0.0539452i | ||||
\(184\) | 4.59081 | 0.338439 | ||||||||
\(185\) | 5.02833 | + | 0.778236i | 0.369690 | + | 0.0572171i | ||||
\(186\) | −10.4105 | −0.763333 | ||||||||
\(187\) | −3.67315 | − | 0.647675i | −0.268607 | − | 0.0473627i | ||||
\(188\) | 2.28839 | + | 12.9781i | 0.166898 | + | 0.946525i | ||||
\(189\) | −0.664394 | − | 0.241820i | −0.0483275 | − | 0.0175898i | ||||
\(190\) | −1.07794 | − | 1.28464i | −0.0782021 | − | 0.0931977i | ||||
\(191\) | 5.32678i | 0.385433i | 0.981255 | + | 0.192716i | \(0.0617297\pi\) | ||||
−0.981255 | + | 0.192716i | \(0.938270\pi\) | |||||||
\(192\) | −1.74092 | + | 1.46081i | −0.125640 | + | 0.105425i | ||||
\(193\) | 18.4352 | + | 10.6435i | 1.32699 | + | 0.766139i | 0.984833 | − | 0.173504i | \(-0.0555088\pi\) |
0.342158 | + | 0.939642i | \(0.388842\pi\) | |||||||
\(194\) | −26.4205 | + | 9.61628i | −1.89688 | + | 0.690409i | ||||
\(195\) | −0.230025 | − | 0.398415i | −0.0164724 | − | 0.0285311i | ||||
\(196\) | −4.40254 | + | 7.62542i | −0.314467 | + | 0.544673i | ||||
\(197\) | 3.07392 | − | 17.4331i | 0.219008 | − | 1.24205i | −0.654807 | − | 0.755796i | \(-0.727250\pi\) |
0.873815 | − | 0.486259i | \(-0.161639\pi\) | |||||||
\(198\) | 1.32520 | − | 3.64096i | 0.0941780 | − | 0.258752i | ||||
\(199\) | 10.5483 | − | 6.09009i | 0.747753 | − | 0.431715i | −0.0771287 | − | 0.997021i | \(-0.524575\pi\) |
0.824881 | + | 0.565306i | \(0.191242\pi\) | |||||||
\(200\) | −3.26745 | + | 3.89400i | −0.231044 | + | 0.275347i | ||||
\(201\) | 2.29401 | + | 1.92490i | 0.161807 | + | 0.135772i | ||||
\(202\) | −0.218440 | − | 0.600158i | −0.0153694 | − | 0.0422270i | ||||
\(203\) | −5.25074 | + | 0.925848i | −0.368530 | + | 0.0649818i | ||||
\(204\) | 2.35202 | − | 0.414725i | 0.164674 | − | 0.0290366i | ||||
\(205\) | 1.98288 | + | 5.44791i | 0.138490 | + | 0.380499i | ||||
\(206\) | 6.19307 | + | 5.19660i | 0.431492 | + | 0.362065i | ||||
\(207\) | 2.49638 | − | 2.97507i | 0.173510 | − | 0.206782i | ||||
\(208\) | −2.32157 | + | 1.34036i | −0.160972 | + | 0.0929370i | ||||
\(209\) | 0.791964 | − | 2.17590i | 0.0547813 | − | 0.150510i | ||||
\(210\) | −0.188102 | + | 1.06678i | −0.0129803 | + | 0.0736149i | ||||
\(211\) | −5.42757 | + | 9.40083i | −0.373649 | + | 0.647180i | −0.990124 | − | 0.140195i | \(-0.955227\pi\) |
0.616475 | + | 0.787375i | \(0.288560\pi\) | |||||||
\(212\) | −5.39902 | − | 9.35138i | −0.370806 | − | 0.642256i | ||||
\(213\) | −14.2750 | + | 5.19566i | −0.978104 | + | 0.356001i | ||||
\(214\) | −27.8863 | − | 16.1002i | −1.90627 | − | 1.10058i | ||||
\(215\) | 5.68050 | − | 4.76650i | 0.387407 | − | 0.325073i | ||||
\(216\) | − | 1.18208i | − | 0.0804301i | ||||||
\(217\) | 2.58319 | + | 3.07853i | 0.175359 | + | 0.208984i | ||||
\(218\) | −24.2597 | − | 8.82981i | −1.64308 | − | 0.598030i | ||||
\(219\) | −1.79911 | − | 10.2033i | −0.121573 | − | 0.689473i | ||||
\(220\) | −2.36068 | − | 0.416252i | −0.159157 | − | 0.0280637i | ||||
\(221\) | 0.969659 | 0.0652263 | ||||||||
\(222\) | −7.33873 | − | 8.38233i | −0.492543 | − | 0.562585i | ||||
\(223\) | 18.0124 | 1.20620 | 0.603101 | − | 0.797665i | \(-0.293932\pi\) | ||||
0.603101 | + | 0.797665i | \(0.293932\pi\) | |||||||
\(224\) | 4.56999 | + | 0.805813i | 0.305345 | + | 0.0538406i | ||||
\(225\) | 0.746735 | + | 4.23495i | 0.0497823 | + | 0.282330i | ||||
\(226\) | −2.15962 | − | 0.786038i | −0.143656 | − | 0.0522865i | ||||
\(227\) | −9.26195 | − | 11.0380i | −0.614737 | − | 0.732616i | 0.365419 | − | 0.930843i | \(-0.380926\pi\) |
−0.980156 | + | 0.198228i | \(0.936481\pi\) | |||||||
\(228\) | 1.48271i | 0.0981951i | ||||||||
\(229\) | −19.0480 | + | 15.9832i | −1.25873 | + | 1.05620i | −0.262910 | + | 0.964820i | \(0.584682\pi\) |
−0.995816 | + | 0.0913760i | \(0.970873\pi\) | |||||||
\(230\) | −5.15297 | − | 2.97507i | −0.339777 | − | 0.196170i | ||||
\(231\) | −1.40551 | + | 0.511565i | −0.0924761 | + | 0.0336585i | ||||
\(232\) | −4.45703 | − | 7.71980i | −0.292618 | − | 0.506830i | ||||
\(233\) | 0.0126240 | − | 0.0218654i | 0.000827027 | − | 0.00143245i | −0.865612 | − | 0.500716i | \(-0.833070\pi\) |
0.866439 | + | 0.499284i | \(0.166403\pi\) | |||||||
\(234\) | −0.174917 | + | 0.992006i | −0.0114347 | + | 0.0648495i | ||||
\(235\) | −2.78331 | + | 7.64708i | −0.181563 | + | 0.498840i | ||||
\(236\) | −8.88286 | + | 5.12852i | −0.578225 | + | 0.333838i | ||||
\(237\) | 2.66662 | − | 3.17795i | 0.173215 | − | 0.206430i | ||||
\(238\) | −1.74901 | − | 1.46759i | −0.113371 | − | 0.0951298i | ||||
\(239\) | −0.470257 | − | 1.29202i | −0.0304184 | − | 0.0835739i | 0.923554 | − | 0.383469i | \(-0.125271\pi\) |
−0.953972 | + | 0.299895i | \(0.903048\pi\) | |||||||
\(240\) | −4.01534 | + | 0.708014i | −0.259189 | + | 0.0457021i | ||||
\(241\) | −1.62475 | + | 0.286486i | −0.104659 | + | 0.0184542i | −0.225732 | − | 0.974189i | \(-0.572477\pi\) |
0.121073 | + | 0.992644i | \(0.461366\pi\) | |||||||
\(242\) | 4.08728 | + | 11.2297i | 0.262741 | + | 0.721874i | ||||
\(243\) | −0.766044 | − | 0.642788i | −0.0491418 | − | 0.0412348i | ||||
\(244\) | −3.65922 | + | 4.36089i | −0.234258 | + | 0.279177i | ||||
\(245\) | −4.70884 | + | 2.71865i | −0.300837 | + | 0.173688i | ||||
\(246\) | 4.34164 | − | 11.9285i | 0.276813 | − | 0.760537i | ||||
\(247\) | −0.104534 | + | 0.592840i | −0.00665132 | + | 0.0377215i | ||||
\(248\) | −3.35943 | + | 5.81870i | −0.213324 | + | 0.369488i | ||||
\(249\) | 2.78415 | + | 4.82230i | 0.176439 | + | 0.305601i | ||||
\(250\) | 13.3895 | − | 4.87339i | 0.846829 | − | 0.308220i | ||||
\(251\) | 14.7349 | + | 8.50719i | 0.930058 | + | 0.536969i | 0.886830 | − | 0.462096i | \(-0.152902\pi\) |
0.0432280 | + | 0.999065i | \(0.486236\pi\) | |||||||
\(252\) | 0.733680 | − | 0.615631i | 0.0462175 | − | 0.0387811i | ||||
\(253\) | − | 8.21586i | − | 0.516527i | ||||||
\(254\) | −20.3732 | − | 24.2798i | −1.27833 | − | 1.52345i | ||||
\(255\) | 1.38588 | + | 0.504419i | 0.0867872 | + | 0.0315880i | ||||
\(256\) | 3.64032 | + | 20.6453i | 0.227520 | + | 1.29033i | ||||
\(257\) | 20.4364 | + | 3.60349i | 1.27479 | + | 0.224780i | 0.769766 | − | 0.638326i | \(-0.220373\pi\) |
0.505023 | + | 0.863106i | \(0.331484\pi\) | |||||||
\(258\) | −16.2364 | −1.01083 | ||||||||
\(259\) | −0.657791 | + | 4.25011i | −0.0408732 | + | 0.264089i | ||||
\(260\) | 0.623187 | 0.0386484 | ||||||||
\(261\) | −7.42645 | − | 1.30948i | −0.459686 | − | 0.0810550i | ||||
\(262\) | 3.90378 | + | 22.1394i | 0.241176 | + | 1.36778i | ||||
\(263\) | 5.65175 | + | 2.05707i | 0.348502 | + | 0.126844i | 0.510339 | − | 0.859973i | \(-0.329520\pi\) |
−0.161837 | + | 0.986817i | \(0.551742\pi\) | |||||||
\(264\) | −1.60740 | − | 1.91562i | −0.0989284 | − | 0.117898i | ||||
\(265\) | − | 6.66800i | − | 0.409612i | ||||||
\(266\) | 1.08582 | − | 0.911113i | 0.0665760 | − | 0.0558639i | ||||
\(267\) | 2.53825 | + | 1.46546i | 0.155338 | + | 0.0896847i | ||||
\(268\) | −3.81188 | + | 1.38741i | −0.232848 | + | 0.0847496i | ||||
\(269\) | −9.89403 | − | 17.1370i | −0.603250 | − | 1.04486i | −0.992325 | − | 0.123653i | \(-0.960539\pi\) |
0.389076 | − | 0.921206i | \(-0.372794\pi\) | |||||||
\(270\) | −0.766044 | + | 1.32683i | −0.0466200 | + | 0.0807482i | ||||
\(271\) | −4.87667 | + | 27.6570i | −0.296236 | + | 1.68004i | 0.365898 | + | 0.930655i | \(0.380762\pi\) |
−0.662134 | + | 0.749385i | \(0.730349\pi\) | |||||||
\(272\) | 2.93925 | − | 8.07553i | 0.178218 | − | 0.489651i | ||||
\(273\) | 0.336754 | − | 0.194425i | 0.0203813 | − | 0.0117671i | ||||
\(274\) | −2.67543 | + | 3.18845i | −0.161629 | + | 0.192622i | ||||
\(275\) | 6.96883 | + | 5.84755i | 0.420236 | + | 0.352620i | ||||
\(276\) | 1.79932 | + | 4.94359i | 0.108306 | + | 0.297569i | ||||
\(277\) | 7.00022 | − | 1.23433i | 0.420602 | − | 0.0741635i | 0.0406585 | − | 0.999173i | \(-0.487054\pi\) |
0.379944 | + | 0.925010i | \(0.375943\pi\) | |||||||
\(278\) | 1.45861 | − | 0.257192i | 0.0874814 | − | 0.0154253i | ||||
\(279\) | 1.94402 | + | 5.34116i | 0.116386 | + | 0.319767i | ||||
\(280\) | 0.535553 | + | 0.449382i | 0.0320054 | + | 0.0268557i | ||||
\(281\) | 6.66208 | − | 7.93956i | 0.397427 | − | 0.473634i | −0.529807 | − | 0.848118i | \(-0.677736\pi\) |
0.927233 | + | 0.374484i | \(0.122180\pi\) | |||||||
\(282\) | 15.4311 | − | 8.90917i | 0.918911 | − | 0.530533i | ||||
\(283\) | 10.1821 | − | 27.9752i | 0.605265 | − | 1.66295i | −0.135169 | − | 0.990823i | \(-0.543158\pi\) |
0.740434 | − | 0.672129i | \(-0.234620\pi\) | |||||||
\(284\) | 3.57332 | − | 20.2653i | 0.212038 | − | 1.20253i | ||||
\(285\) | −0.457802 | + | 0.792935i | −0.0271178 | + | 0.0469694i | ||||
\(286\) | 1.06547 | + | 1.84545i | 0.0630028 | + | 0.109124i | ||||
\(287\) | −4.60476 | + | 1.67599i | −0.271810 | + | 0.0989308i | ||||
\(288\) | 5.68401 | + | 3.28166i | 0.334933 | + | 0.193374i | ||||
\(289\) | 10.6415 | − | 8.92927i | 0.625970 | − | 0.525251i | ||||
\(290\) | 11.5535i | 0.678445i | ||||||||
\(291\) | 9.86739 | + | 11.7595i | 0.578437 | + | 0.689354i | ||||
\(292\) | 13.1882 | + | 4.80013i | 0.771783 | + | 0.280906i | ||||
\(293\) | −4.52944 | − | 25.6877i | −0.264612 | − | 1.50069i | −0.770136 | − | 0.637879i | \(-0.779812\pi\) |
0.505524 | − | 0.862813i | \(-0.331299\pi\) | |||||||
\(294\) | 11.7245 | + | 2.06734i | 0.683784 | + | 0.120570i | ||||
\(295\) | −6.33392 | −0.368775 | ||||||||
\(296\) | −7.05330 | + | 1.39686i | −0.409965 | + | 0.0811910i | ||||
\(297\) | −2.11548 | −0.122753 | ||||||||
\(298\) | 8.62015 | + | 1.51996i | 0.499352 | + | 0.0880492i | ||||
\(299\) | 0.370899 | + | 2.10347i | 0.0214497 | + | 0.121647i | ||||
\(300\) | −5.47388 | − | 1.99233i | −0.316035 | − | 0.115027i | ||||
\(301\) | 4.02881 | + | 4.80135i | 0.232217 | + | 0.276745i | ||||
\(302\) | 2.73040i | 0.157117i | ||||||||
\(303\) | −0.267124 | + | 0.224144i | −0.0153459 | + | 0.0128767i | ||||
\(304\) | 4.62043 | + | 2.66761i | 0.265000 | + | 0.152998i | ||||
\(305\) | −3.30337 | + | 1.20233i | −0.189150 | + | 0.0688451i | ||||
\(306\) | −1.61461 | − | 2.79659i | −0.0923011 | − | 0.159870i | ||||
\(307\) | 3.44609 | − | 5.96881i | 0.196679 | − | 0.340658i | −0.750771 | − | 0.660563i | \(-0.770318\pi\) |
0.947450 | + | 0.319905i | \(0.103651\pi\) | |||||||
\(308\) | 0.351830 | − | 1.99533i | 0.0200474 | − | 0.113694i | ||||
\(309\) | 1.50967 | − | 4.14779i | 0.0858823 | − | 0.235960i | ||||
\(310\) | 7.54161 | − | 4.35415i | 0.428335 | − | 0.247299i | ||||
\(311\) | −6.19738 | + | 7.38575i | −0.351421 | + | 0.418807i | −0.912578 | − | 0.408902i | \(-0.865912\pi\) |
0.561157 | + | 0.827709i | \(0.310356\pi\) | |||||||
\(312\) | 0.498014 | + | 0.417884i | 0.0281945 | + | 0.0236580i | ||||
\(313\) | 2.32618 | + | 6.39112i | 0.131483 | + | 0.361248i | 0.987912 | − | 0.155019i | \(-0.0495437\pi\) |
−0.856428 | + | 0.516266i | \(0.827322\pi\) | |||||||
\(314\) | 27.8941 | − | 4.91848i | 1.57415 | − | 0.277566i | ||||
\(315\) | 0.582444 | − | 0.102701i | 0.0328170 | − | 0.00578653i | ||||
\(316\) | 1.92202 | + | 5.28070i | 0.108122 | + | 0.297063i | ||||
\(317\) | −20.8782 | − | 17.5189i | −1.17264 | − | 0.983961i | −0.172639 | − | 0.984985i | \(-0.555229\pi\) |
−0.999999 | + | 0.00102436i | \(0.999674\pi\) | |||||||
\(318\) | −9.38470 | + | 11.1842i | −0.526268 | + | 0.627182i | ||||
\(319\) | −13.8156 | + | 7.97645i | −0.773526 | + | 0.446595i | ||||
\(320\) | 0.650189 | − | 1.78638i | 0.0363467 | − | 0.0998617i | ||||
\(321\) | −3.05288 | + | 17.3137i | −0.170395 | + | 0.966359i | ||||
\(322\) | 2.51463 | − | 4.35546i | 0.140135 | − | 0.242721i | ||||
\(323\) | −0.964919 | − | 1.67129i | −0.0536895 | − | 0.0929930i | ||||
\(324\) | 1.27291 | − | 0.463303i | 0.0707174 | − | 0.0257390i | ||||
\(325\) | −2.04819 | − | 1.18252i | −0.113613 | − | 0.0655944i | ||||
\(326\) | 19.2460 | − | 16.1493i | 1.06594 | − | 0.894429i | ||||
\(327\) | 14.0955i | 0.779480i | ||||||||
\(328\) | −5.26616 | − | 6.27597i | −0.290775 | − | 0.346532i | ||||
\(329\) | −6.46356 | − | 2.35254i | −0.356348 | − | 0.129700i | ||||
\(330\) | 0.562813 | + | 3.19187i | 0.0309818 | + | 0.175707i | ||||
\(331\) | −5.08623 | − | 0.896839i | −0.279564 | − | 0.0492947i | 0.0321079 | − | 0.999484i | \(-0.489778\pi\) |
−0.311672 | + | 0.950190i | \(0.600889\pi\) | |||||||
\(332\) | −7.54286 | −0.413968 | ||||||||
\(333\) | −2.93020 | + | 5.33047i | −0.160574 | + | 0.292108i | ||||
\(334\) | 11.0328 | 0.603687 | ||||||||
\(335\) | −2.46692 | − | 0.434985i | −0.134782 | − | 0.0237657i | ||||
\(336\) | −0.598437 | − | 3.39390i | −0.0326474 | − | 0.185153i | ||||
\(337\) | −27.8106 | − | 10.1222i | −1.51494 | − | 0.551393i | −0.555061 | − | 0.831810i | \(-0.687305\pi\) |
−0.959878 | + | 0.280417i | \(0.909527\pi\) | |||||||
\(338\) | 14.9488 | + | 17.8153i | 0.813110 | + | 0.969026i | ||||
\(339\) | 1.25479i | 0.0681509i | ||||||||
\(340\) | −1.53041 | + | 1.28416i | −0.0829980 | + | 0.0696436i | ||||
\(341\) | 10.4133 | + | 6.01214i | 0.563914 | + | 0.325576i | ||||
\(342\) | 1.88387 | − | 0.685672i | 0.101868 | − | 0.0370769i | ||||
\(343\) | −4.77251 | − | 8.26623i | −0.257691 | − | 0.446334i | ||||
\(344\) | −5.23944 | + | 9.07498i | −0.282492 | + | 0.489290i | ||||
\(345\) | −0.564127 | + | 3.19932i | −0.0303716 | + | 0.172246i | ||||
\(346\) | 3.76230 | − | 10.3368i | 0.202263 | − | 0.555712i | ||||
\(347\) | −9.61921 | + | 5.55365i | −0.516386 | + | 0.298136i | −0.735455 | − | 0.677574i | \(-0.763031\pi\) |
0.219069 | + | 0.975709i | \(0.429698\pi\) | |||||||
\(348\) | 6.56614 | − | 7.82522i | 0.351982 | − | 0.419476i | ||||
\(349\) | −7.79140 | − | 6.53776i | −0.417064 | − | 0.349958i | 0.409981 | − | 0.912094i | \(-0.365535\pi\) |
−0.827045 | + | 0.562136i | \(0.809980\pi\) | |||||||
\(350\) | 1.90462 | + | 5.23290i | 0.101806 | + | 0.279710i | ||||
\(351\) | 0.541619 | − | 0.0955020i | 0.0289095 | − | 0.00509752i | ||||
\(352\) | 13.6737 | − | 2.41104i | 0.728809 | − | 0.128509i | ||||
\(353\) | −6.70223 | − | 18.4142i | −0.356723 | − | 0.980090i | −0.980159 | − | 0.198215i | \(-0.936486\pi\) |
0.623435 | − | 0.781875i | \(-0.285737\pi\) | |||||||
\(354\) | 10.6239 | + | 8.91451i | 0.564654 | + | 0.473801i | ||||
\(355\) | 8.16808 | − | 9.73434i | 0.433517 | − | 0.516645i | ||||
\(356\) | −3.43833 | + | 1.98512i | −0.182231 | + | 0.105211i | ||||
\(357\) | −0.426352 | + | 1.17139i | −0.0225649 | + | 0.0619967i | ||||
\(358\) | −6.71616 | + | 38.0892i | −0.354960 | + | 2.01308i | ||||
\(359\) | 0.922941 | − | 1.59858i | 0.0487109 | − | 0.0843698i | −0.840642 | − | 0.541591i | \(-0.817822\pi\) |
0.889353 | + | 0.457222i | \(0.151155\pi\) | |||||||
\(360\) | 0.494400 | + | 0.856327i | 0.0260572 | + | 0.0451324i | ||||
\(361\) | −16.7283 | + | 6.08861i | −0.880438 | + | 0.320453i | ||||
\(362\) | −35.3844 | − | 20.4292i | −1.85976 | − | 1.07373i | ||||
\(363\) | 4.99823 | − | 4.19401i | 0.262339 | − | 0.220129i | ||||
\(364\) | 0.526738i | 0.0276086i | ||||||||
\(365\) | 5.57081 | + | 6.63904i | 0.291590 | + | 0.347503i | ||||
\(366\) | 7.23294 | + | 2.63257i | 0.378072 | + | 0.137607i | ||||
\(367\) | 2.55191 | + | 14.4726i | 0.133209 | + | 0.755463i | 0.976090 | + | 0.217365i | \(0.0697461\pi\) |
−0.842882 | + | 0.538099i | \(0.819143\pi\) | |||||||
\(368\) | 18.6425 | + | 3.28717i | 0.971805 | + | 0.171355i | ||||
\(369\) | −6.93076 | −0.360801 | ||||||||
\(370\) | 8.82225 | + | 3.00297i | 0.458647 | + | 0.156117i | ||||
\(371\) | 5.63601 | 0.292607 | ||||||||
\(372\) | −7.58253 | − | 1.33700i | −0.393136 | − | 0.0693205i | ||||
\(373\) | −2.62758 | − | 14.9018i | −0.136051 | − | 0.771584i | −0.974122 | − | 0.226023i | \(-0.927428\pi\) |
0.838071 | − | 0.545561i | \(-0.183683\pi\) | |||||||
\(374\) | −6.41938 | − | 2.33646i | −0.331938 | − | 0.120816i | ||||
\(375\) | −5.00065 | − | 5.95954i | −0.258233 | − | 0.307750i | ||||
\(376\) | − | 11.4998i | − | 0.593059i | ||||||
\(377\) | 3.17706 | − | 2.66587i | 0.163627 | − | 0.137299i | ||||
\(378\) | −1.12148 | − | 0.647486i | −0.0576827 | − | 0.0333031i | ||||
\(379\) | 34.7294 | − | 12.6405i | 1.78393 | − | 0.649297i | 0.784349 | − | 0.620320i | \(-0.212997\pi\) |
0.999580 | − | 0.0289765i | \(-0.00922481\pi\) | |||||||
\(380\) | −0.620141 | − | 1.07412i | −0.0318125 | − | 0.0551009i | ||||
\(381\) | −8.65248 | + | 14.9865i | −0.443280 | + | 0.767784i | ||||
\(382\) | −1.69417 | + | 9.60809i | −0.0866811 | + | 0.491593i | ||||
\(383\) | 2.69968 | − | 7.41732i | 0.137947 | − | 0.379007i | −0.851412 | − | 0.524497i | \(-0.824253\pi\) |
0.989360 | + | 0.145489i | \(0.0464757\pi\) | |||||||
\(384\) | 7.76326 | − | 4.48212i | 0.396167 | − | 0.228727i | ||||
\(385\) | 0.804230 | − | 0.958444i | 0.0409873 | − | 0.0488468i | ||||
\(386\) | 29.8669 | + | 25.0613i | 1.52019 | + | 1.27559i | ||||
\(387\) | 3.03194 | + | 8.33019i | 0.154122 | + | 0.423448i | ||||
\(388\) | −20.4785 | + | 3.61092i | −1.03964 | + | 0.183317i | ||||
\(389\) | −15.7496 | + | 2.77707i | −0.798534 | + | 0.140803i | −0.558004 | − | 0.829839i | \(-0.688432\pi\) |
−0.240530 | + | 0.970642i | \(0.577321\pi\) | |||||||
\(390\) | −0.288189 | − | 0.791794i | −0.0145930 | − | 0.0400940i | ||||
\(391\) | −5.24535 | − | 4.40137i | −0.265269 | − | 0.222587i | ||||
\(392\) | 4.93894 | − | 5.88600i | 0.249454 | − | 0.297288i | ||||
\(393\) | 10.6298 | − | 6.13711i | 0.536202 | − | 0.309576i | ||||
\(394\) | 11.0891 | − | 30.4669i | 0.558659 | − | 1.53490i | ||||
\(395\) | −0.602596 | + | 3.41749i | −0.0303199 | + | 0.171953i | ||||
\(396\) | 1.43282 | − | 2.48172i | 0.0720021 | − | 0.124711i | ||||
\(397\) | −11.3017 | − | 19.5752i | −0.567218 | − | 0.982450i | −0.996840 | − | 0.0794411i | \(-0.974686\pi\) |
0.429622 | − | 0.903009i | \(-0.358647\pi\) | |||||||
\(398\) | 20.9633 | − | 7.63003i | 1.05080 | − | 0.382459i | ||||
\(399\) | −0.670215 | − | 0.386949i | −0.0335527 | − | 0.0193717i | ||||
\(400\) | −16.0568 | + | 13.4732i | −0.802839 | + | 0.673662i | ||||
\(401\) | 17.9585i | 0.896806i | 0.893832 | + | 0.448403i | \(0.148007\pi\) | ||||
−0.893832 | + | 0.448403i | \(0.851993\pi\) | |||||||
\(402\) | 3.52557 | + | 4.20160i | 0.175839 | + | 0.209557i | ||||
\(403\) | −2.93750 | − | 1.06916i | −0.146327 | − | 0.0532588i | ||||
\(404\) | −0.0820243 | − | 0.465183i | −0.00408086 | − | 0.0231437i | ||||
\(405\) | 0.823786 | + | 0.145256i | 0.0409343 | + | 0.00721782i | ||||
\(406\) | −9.76540 | −0.484649 | ||||||||
\(407\) | 2.49987 | + | 12.6228i | 0.123914 | + | 0.625690i | ||||
\(408\) | −2.08412 | −0.103179 | ||||||||
\(409\) | −2.47264 | − | 0.435994i | −0.122264 | − | 0.0215585i | 0.112181 | − | 0.993688i | \(-0.464216\pi\) |
−0.234445 | + | 0.972129i | \(0.575327\pi\) | |||||||
\(410\) | 1.84389 | + | 10.4572i | 0.0910633 | + | 0.516446i | ||||
\(411\) | 2.13546 | + | 0.777244i | 0.105334 | + | 0.0383386i | ||||
\(412\) | 3.84337 | + | 4.58035i | 0.189349 | + | 0.225658i | ||||
\(413\) | − | 5.35364i | − | 0.263435i | ||||||
\(414\) | 5.44902 | − | 4.57227i | 0.267805 | − | 0.224715i | ||||
\(415\) | −4.03382 | − | 2.32893i | −0.198013 | − | 0.114323i | ||||
\(416\) | −3.39197 | + | 1.23458i | −0.166305 | + | 0.0605301i | ||||
\(417\) | −0.404330 | − | 0.700320i | −0.0198001 | − | 0.0342948i | ||||
\(418\) | 2.12053 | − | 3.67287i | 0.103719 | − | 0.179646i | ||||
\(419\) | −4.30885 | + | 24.4367i | −0.210501 | + | 1.19381i | 0.678043 | + | 0.735022i | \(0.262828\pi\) |
−0.888545 | + | 0.458790i | \(0.848283\pi\) | |||||||
\(420\) | −0.274011 | + | 0.752838i | −0.0133704 | + | 0.0367348i | ||||
\(421\) | 10.4391 | − | 6.02704i | 0.508773 | − | 0.293740i | −0.223556 | − | 0.974691i | \(-0.571767\pi\) |
0.732329 | + | 0.680951i | \(0.238433\pi\) | |||||||
\(422\) | −12.7798 | + | 15.2304i | −0.622110 | + | 0.741402i | ||||
\(423\) | −7.45247 | − | 6.25337i | −0.362352 | − | 0.304049i | ||||
\(424\) | 3.22277 | + | 8.85449i | 0.156512 | + | 0.430012i | ||||
\(425\) | 7.46663 | − | 1.31657i | 0.362185 | − | 0.0638630i | ||||
\(426\) | −27.4007 | + | 4.83148i | −1.32757 | + | 0.234086i | ||||
\(427\) | −1.01625 | − | 2.79212i | −0.0491797 | − | 0.135120i | ||||
\(428\) | −18.2434 | − | 15.3081i | −0.881830 | − | 0.739943i | ||||
\(429\) | 0.747859 | − | 0.891263i | 0.0361070 | − | 0.0430306i | ||||
\(430\) | 11.7621 | − | 6.79084i | 0.567217 | − | 0.327483i | ||||
\(431\) | 3.12482 | − | 8.58538i | 0.150517 | − | 0.413543i | −0.841402 | − | 0.540409i | \(-0.818269\pi\) |
0.991920 | + | 0.126866i | \(0.0404917\pi\) | |||||||
\(432\) | 0.846405 | − | 4.80020i | 0.0407227 | − | 0.230950i | ||||
\(433\) | −0.233455 | + | 0.404357i | −0.0112192 | + | 0.0194321i | −0.871580 | − | 0.490252i | \(-0.836905\pi\) |
0.860361 | + | 0.509685i | \(0.170238\pi\) | |||||||
\(434\) | 3.68027 | + | 6.37442i | 0.176659 | + | 0.305982i | ||||
\(435\) | 5.92760 | − | 2.15747i | 0.284207 | − | 0.103443i | ||||
\(436\) | −16.5357 | − | 9.54689i | −0.791917 | − | 0.457213i | ||||
\(437\) | 3.25643 | − | 2.73247i | 0.155776 | − | 0.130712i | ||||
\(438\) | − | 18.9762i | − | 0.906717i | ||||||
\(439\) | 3.05115 | + | 3.63622i | 0.145623 | + | 0.173547i | 0.833926 | − | 0.551877i | \(-0.186088\pi\) |
−0.688302 | + | 0.725424i | \(0.741644\pi\) | |||||||
\(440\) | 1.96564 | + | 0.715435i | 0.0937083 | + | 0.0341070i | ||||
\(441\) | −1.12873 | − | 6.40135i | −0.0537491 | − | 0.304826i | ||||
\(442\) | 1.74901 | + | 0.308397i | 0.0831917 | + | 0.0146689i | ||||
\(443\) | −19.8884 | −0.944927 | −0.472463 | − | 0.881350i | \(-0.656635\pi\) | ||||
−0.472463 | + | 0.881350i | \(0.656635\pi\) | |||||||
\(444\) | −4.26867 | − | 7.04783i | −0.202582 | − | 0.334475i | ||||
\(445\) | −2.45170 | −0.116222 | ||||||||
\(446\) | 32.4896 | + | 5.72880i | 1.53843 | + | 0.271266i | ||||
\(447\) | −0.829875 | − | 4.70646i | −0.0392518 | − | 0.222608i | ||||
\(448\) | 1.50991 | + | 0.549561i | 0.0713364 | + | 0.0259643i | ||||
\(449\) | 1.06966 | + | 1.27477i | 0.0504802 | + | 0.0601600i | 0.790694 | − | 0.612212i | \(-0.209720\pi\) |
−0.740214 | + | 0.672372i | \(0.765276\pi\) | |||||||
\(450\) | 7.87621i | 0.371288i | ||||||||
\(451\) | −11.2317 | + | 9.42450i | −0.528879 | + | 0.443782i | ||||
\(452\) | −1.47202 | − | 0.849874i | −0.0692382 | − | 0.0399747i | ||||
\(453\) | 1.40085 | − | 0.509867i | 0.0658176 | − | 0.0239556i | ||||
\(454\) | −13.1955 | − | 22.8553i | −0.619296 | − | 1.07265i | ||||
\(455\) | −0.162635 | + | 0.281693i | −0.00762447 | + | 0.0132060i | ||||
\(456\) | 0.224678 | − | 1.27421i | 0.0105215 | − | 0.0596704i | ||||
\(457\) | −14.0474 | + | 38.5949i | −0.657109 | + | 1.80539i | −0.0674743 | + | 0.997721i | \(0.521494\pi\) |
−0.589634 | + | 0.807670i | \(0.700728\pi\) | |||||||
\(458\) | −39.4409 | + | 22.7712i | −1.84295 | + | 1.06403i | ||||
\(459\) | −1.13330 | + | 1.35061i | −0.0528979 | + | 0.0630412i | ||||
\(460\) | −3.37111 | − | 2.82870i | −0.157179 | − | 0.131889i | ||||
\(461\) | −7.16267 | − | 19.6793i | −0.333599 | − | 0.916555i | −0.987168 | − | 0.159688i | \(-0.948951\pi\) |
0.653569 | − | 0.756867i | \(-0.273271\pi\) | |||||||
\(462\) | −2.69787 | + | 0.475708i | −0.125516 | + | 0.0221319i | ||||
\(463\) | 4.21701 | − | 0.743572i | 0.195981 | − | 0.0345567i | −0.0747960 | − | 0.997199i | \(-0.523831\pi\) |
0.270777 | + | 0.962642i | \(0.412719\pi\) | |||||||
\(464\) | −12.5716 | − | 34.5401i | −0.583621 | − | 1.60348i | ||||
\(465\) | −3.64223 | − | 3.05619i | −0.168904 | − | 0.141727i | ||||
\(466\) | 0.0297246 | − | 0.0354244i | 0.00137696 | − | 0.00164100i | ||||
\(467\) | −29.2385 | + | 16.8809i | −1.35300 | + | 0.781153i | −0.988668 | − | 0.150117i | \(-0.952035\pi\) |
−0.364329 | + | 0.931270i | \(0.618702\pi\) | |||||||
\(468\) | −0.254804 | + | 0.700069i | −0.0117783 | + | 0.0323607i | ||||
\(469\) | 0.367663 | − | 2.08512i | 0.0169771 | − | 0.0962820i | ||||
\(470\) | −7.45247 | + | 12.9081i | −0.343757 | + | 0.595404i | ||||
\(471\) | −7.73232 | − | 13.3928i | −0.356286 | − | 0.617106i | ||||
\(472\) | 8.41087 | − | 3.06130i | 0.387141 | − | 0.140908i | ||||
\(473\) | 16.2409 | + | 9.37668i | 0.746757 | + | 0.431140i | ||||
\(474\) | 5.82060 | − | 4.88406i | 0.267349 | − | 0.224332i | ||||
\(475\) | 4.70696i | 0.215970i | ||||||||
\(476\) | −1.08542 | − | 1.29355i | −0.0497501 | − | 0.0592898i | ||||
\(477\) | 7.49062 | + | 2.72636i | 0.342972 | + | 0.124832i | ||||
\(478\) | −0.437295 | − | 2.48002i | −0.0200014 | − | 0.113434i | ||||
\(479\) | 33.8398 | + | 5.96688i | 1.54618 | + | 0.272634i | 0.880662 | − | 0.473746i | \(-0.157099\pi\) |
0.665520 | + | 0.746380i | \(0.268210\pi\) | |||||||
\(480\) | −5.49019 | −0.250592 | ||||||||
\(481\) | −1.20988 | − | 3.11892i | −0.0551658 | − | 0.142210i | ||||
\(482\) | −3.02172 | −0.137636 | ||||||||
\(483\) | −2.70417 | − | 0.476819i | −0.123044 | − | 0.0216960i | ||||
\(484\) | 1.53478 | + | 8.70416i | 0.0697626 | + | 0.395644i | ||||
\(485\) | −12.0666 | − | 4.39187i | −0.547915 | − | 0.199425i | ||||
\(486\) | −1.17730 | − | 1.40306i | −0.0534035 | − | 0.0636439i | ||||
\(487\) | 13.1820i | 0.597335i | 0.954357 | + | 0.298668i | \(0.0965422\pi\) | ||||
−0.954357 | + | 0.298668i | \(0.903458\pi\) | |||||||
\(488\) | 3.80547 | − | 3.19316i | 0.172265 | − | 0.144548i | ||||
\(489\) | −11.8795 | − | 6.85861i | −0.537208 | − | 0.310157i | ||||
\(490\) | −9.35815 | + | 3.40609i | −0.422758 | + | 0.153871i | ||||
\(491\) | −2.39161 | − | 4.14238i | −0.107932 | − | 0.186943i | 0.807001 | − | 0.590551i | \(-0.201089\pi\) |
−0.914932 | + | 0.403608i | \(0.867756\pi\) | |||||||
\(492\) | 4.69423 | − | 8.13064i | 0.211632 | − | 0.366558i | ||||
\(493\) | −2.30875 | + | 13.0936i | −0.103981 | + | 0.589705i | ||||
\(494\) | −0.377102 | + | 1.03608i | −0.0169666 | + | 0.0466154i | ||||
\(495\) | 1.53251 | − | 0.884796i | 0.0688812 | − | 0.0397686i | ||||
\(496\) | −17.8084 | + | 21.2232i | −0.799622 | + | 0.952952i | ||||
\(497\) | 8.22779 | + | 6.90393i | 0.369067 | + | 0.309684i | ||||
\(498\) | 3.48815 | + | 9.58362i | 0.156308 | + | 0.429452i | ||||
\(499\) | 38.2589 | − | 6.74608i | 1.71270 | − | 0.301996i | 0.770600 | − | 0.637319i | \(-0.219956\pi\) |
0.942103 | + | 0.335323i | \(0.108845\pi\) | |||||||
\(500\) | 10.3782 | − | 1.82996i | 0.464129 | − | 0.0818384i | ||||
\(501\) | −2.06023 | − | 5.66044i | −0.0920443 | − | 0.252890i | ||||
\(502\) | 23.8721 | + | 20.0311i | 1.06546 | + | 0.894031i | ||||
\(503\) | 24.8555 | − | 29.6216i | 1.10825 | − | 1.32076i | 0.165900 | − | 0.986143i | \(-0.446947\pi\) |
0.942353 | − | 0.334621i | \(-0.108608\pi\) | |||||||
\(504\) | −0.723796 | + | 0.417884i | −0.0322404 | + | 0.0186140i | ||||
\(505\) | 0.0997641 | − | 0.274100i | 0.00443944 | − | 0.0121973i | ||||
\(506\) | 2.61303 | − | 14.8192i | 0.116163 | − | 0.658795i | ||||
\(507\) | 6.34876 | − | 10.9964i | 0.281959 | − | 0.488366i | ||||
\(508\) | −11.7207 | − | 20.3009i | −0.520022 | − | 0.900705i | ||||
\(509\) | −33.2696 | + | 12.1091i | −1.47465 | + | 0.536728i | −0.949359 | − | 0.314195i | \(-0.898265\pi\) |
−0.525290 | + | 0.850923i | \(0.676043\pi\) | |||||||
\(510\) | 2.33933 | + | 1.35061i | 0.103587 | + | 0.0598061i | ||||
\(511\) | −5.61154 | + | 4.70864i | −0.248240 | + | 0.208298i | ||||
\(512\) | 20.4678i | 0.904560i | ||||||||
\(513\) | −0.703577 | − | 0.838490i | −0.0310637 | − | 0.0370202i | ||||
\(514\) | 35.7158 | + | 12.9995i | 1.57536 | + | 0.573382i | ||||
\(515\) | 0.641158 | + | 3.63619i | 0.0282528 | + | 0.160229i | ||||
\(516\) | −11.8259 | − | 2.08522i | −0.520606 | − | 0.0917968i | ||||
\(517\) | −20.5805 | −0.905130 | ||||||||
\(518\) | −2.53821 | + | 7.45686i | −0.111523 | + | 0.327636i | ||||
\(519\) | −6.00594 | −0.263632 | ||||||||
\(520\) | −0.535553 | − | 0.0944325i | −0.0234856 | − | 0.00414114i | ||||
\(521\) | 1.70978 | + | 9.69667i | 0.0749070 | + | 0.424819i | 0.999082 | + | 0.0428484i | \(0.0136432\pi\) |
−0.924175 | + | 0.381970i | \(0.875246\pi\) | |||||||
\(522\) | −12.9789 | − | 4.72392i | −0.568069 | − | 0.206760i | ||||
\(523\) | 11.3994 | + | 13.5853i | 0.498461 | + | 0.594042i | 0.955348 | − | 0.295482i | \(-0.0954802\pi\) |
−0.456887 | + | 0.889525i | \(0.651036\pi\) | |||||||
\(524\) | 16.6267i | 0.726342i | ||||||||
\(525\) | 2.32911 | − | 1.95436i | 0.101651 | − | 0.0852951i | ||||
\(526\) | 9.54001 | + | 5.50793i | 0.415964 | + | 0.240157i | ||||
\(527\) | 9.41700 | − | 3.42751i | 0.410211 | − | 0.149305i | ||||
\(528\) | −5.15570 | − | 8.92994i | −0.224373 | − | 0.388626i | ||||
\(529\) | −3.95852 | + | 6.85635i | −0.172109 | + | 0.298102i | ||||
\(530\) | 2.12073 | − | 12.0273i | 0.0921188 | − | 0.522432i | ||||
\(531\) | 2.58977 | − | 7.11533i | 0.112386 | − | 0.308779i | ||||
\(532\) | 0.907878 | − | 0.524164i | 0.0393615 | − | 0.0227254i | ||||
\(533\) | 2.45014 | − | 2.91996i | 0.106127 | − | 0.126478i | ||||
\(534\) | 4.11224 | + | 3.45058i | 0.177954 | + | 0.149321i | ||||
\(535\) | −5.02984 | − | 13.8194i | −0.217459 | − | 0.597464i | ||||
\(536\) | 3.48608 | − | 0.614690i | 0.150576 | − | 0.0265506i | ||||
\(537\) | 20.7961 | − | 3.66691i | 0.897417 | − | 0.158239i | ||||
\(538\) | −12.3958 | − | 34.0573i | −0.534422 | − | 1.46831i | ||||
\(539\) | −10.5338 | − | 8.83889i | −0.453722 | − | 0.380718i | ||||
\(540\) | −0.728356 | + | 0.868021i | −0.0313435 | + | 0.0373537i | ||||
\(541\) | 24.3356 | − | 14.0502i | 1.04627 | − | 0.604064i | 0.124667 | − | 0.992199i | \(-0.460214\pi\) |
0.921603 | + | 0.388135i | \(0.126881\pi\) | |||||||
\(542\) | −17.5924 | + | 48.3347i | −0.755659 | + | 2.07616i | ||||
\(543\) | −3.87374 | + | 21.9691i | −0.166238 | + | 0.942783i | ||||
\(544\) | 5.78590 | − | 10.0215i | 0.248068 | − | 0.429667i | ||||
\(545\) | −5.89539 | − | 10.2111i | −0.252531 | − | 0.437396i | ||||
\(546\) | 0.669250 | − | 0.243587i | 0.0286413 | − | 0.0104246i | ||||
\(547\) | 20.4492 | + | 11.8063i | 0.874343 | + | 0.504802i | 0.868789 | − | 0.495182i | \(-0.164899\pi\) |
0.00555407 | + | 0.999985i | \(0.498232\pi\) | |||||||
\(548\) | −2.35816 | + | 1.97873i | −0.100735 | + | 0.0845270i | ||||
\(549\) | − | 4.20250i | − | 0.179358i | ||||||
\(550\) | 10.7101 | + | 12.7638i | 0.456681 | + | 0.544251i | ||||
\(551\) | −7.75639 | − | 2.82309i | −0.330433 | − | 0.120268i | ||||
\(552\) | −0.797185 | − | 4.52106i | −0.0339305 | − | 0.192429i | ||||
\(553\) | −2.88858 | − | 0.509334i | −0.122835 | − | 0.0216591i | ||||
\(554\) | 13.0191 | 0.553128 | ||||||||
\(555\) | −0.106747 | − | 5.08708i | −0.00453118 | − | 0.215934i | ||||
\(556\) | 1.09542 | 0.0464559 | ||||||||
\(557\) | 30.4960 | + | 5.37728i | 1.29216 | + | 0.227842i | 0.777135 | − | 0.629334i | \(-0.216672\pi\) |
0.515024 | + | 0.857176i | \(0.327783\pi\) | |||||||
\(558\) | 1.80776 | + | 10.2523i | 0.0765286 | + | 0.434015i | ||||
\(559\) | −4.58139 | − | 1.66749i | −0.193772 | − | 0.0705273i | ||||
\(560\) | 1.85301 | + | 2.20834i | 0.0783041 | + | 0.0933192i | ||||
\(561\) | 3.72981i | 0.157473i | ||||||||
\(562\) | 14.5418 | − | 12.2020i | 0.613408 | − | 0.514710i | ||||
\(563\) | 11.0826 | + | 6.39854i | 0.467076 | + | 0.269666i | 0.715015 | − | 0.699109i | \(-0.246420\pi\) |
−0.247939 | + | 0.968776i | \(0.579753\pi\) | |||||||
\(564\) | 12.3836 | − | 4.50724i | 0.521442 | − | 0.189789i | ||||
\(565\) | −0.524813 | − | 0.909003i | −0.0220790 | − | 0.0382420i | ||||
\(566\) | 27.2633 | − | 47.2213i | 1.14596 | − | 1.98486i | ||||
\(567\) | −0.122775 | + | 0.696292i | −0.00515607 | + | 0.0292415i | ||||
\(568\) | −6.14167 | + | 16.8741i | −0.257699 | + | 0.708022i | ||||
\(569\) | 4.32905 | − | 2.49938i | 0.181483 | − | 0.104779i | −0.406506 | − | 0.913648i | \(-0.633253\pi\) |
0.587989 | + | 0.808869i | \(0.299920\pi\) | |||||||
\(570\) | −1.07794 | + | 1.28464i | −0.0451500 | + | 0.0538077i | ||||
\(571\) | −11.2409 | − | 9.43227i | −0.470419 | − | 0.394728i | 0.376529 | − | 0.926405i | \(-0.377118\pi\) |
−0.846947 | + | 0.531677i | \(0.821562\pi\) | |||||||
\(572\) | 0.539035 | + | 1.48099i | 0.0225382 | + | 0.0619231i | ||||
\(573\) | 5.24586 | − | 0.924986i | 0.219149 | − | 0.0386419i | ||||
\(574\) | −8.83879 | + | 1.55852i | −0.368924 | + | 0.0650513i | ||||
\(575\) | 5.71204 | + | 15.6937i | 0.238209 | + | 0.654473i | ||||
\(576\) | 1.74092 | + | 1.46081i | 0.0725383 | + | 0.0608669i | ||||
\(577\) | 19.5137 | − | 23.2556i | 0.812368 | − | 0.968142i | −0.187533 | − | 0.982258i | \(-0.560049\pi\) |
0.999900 | + | 0.0141163i | \(0.00449351\pi\) | |||||||
\(578\) | 22.0343 | − | 12.7215i | 0.916507 | − | 0.529146i | ||||
\(579\) | 7.28061 | − | 20.0033i | 0.302572 | − | 0.831309i | ||||
\(580\) | −1.48380 | + | 8.41506i | −0.0616115 | + | 0.349416i | ||||
\(581\) | 1.96849 | − | 3.40952i | 0.0816667 | − | 0.141451i | ||||
\(582\) | 14.0581 | + | 24.3493i | 0.582725 | + | 1.00931i | ||||
\(583\) | 15.8463 | − | 5.76758i | 0.656286 | − | 0.238869i | ||||
\(584\) | −10.6063 | − | 6.12356i | −0.438892 | − | 0.253395i | ||||
\(585\) | −0.352419 | + | 0.295715i | −0.0145707 | + | 0.0122263i | ||||
\(586\) | − | 47.7743i | − | 1.97354i | ||||||
\(587\) | 22.5336 | + | 26.8545i | 0.930061 | + | 1.10840i | 0.993883 | + | 0.110442i | \(0.0352267\pi\) |
−0.0638216 | + | 0.997961i | \(0.520329\pi\) | |||||||
\(588\) | 8.27407 | + | 3.01151i | 0.341217 | + | 0.124193i | ||||
\(589\) | 1.08035 | + | 6.12696i | 0.0445150 | + | 0.252457i | ||||
\(590\) | −11.4247 | − | 2.01448i | −0.470347 | − | 0.0829349i | ||||
\(591\) | −17.7020 | −0.728163 | ||||||||
\(592\) | −29.6424 | + | 0.622017i | −1.21830 | + | 0.0255648i | ||||
\(593\) | −6.41429 | −0.263403 | −0.131702 | − | 0.991289i | \(-0.542044\pi\) | ||||
−0.131702 | + | 0.991289i | \(0.542044\pi\) | |||||||
\(594\) | −3.81577 | − | 0.672823i | −0.156563 | − | 0.0276063i | ||||
\(595\) | −0.181071 | − | 1.02691i | −0.00742321 | − | 0.0420991i | ||||
\(596\) | 6.08333 | + | 2.21415i | 0.249183 | + | 0.0906952i | ||||
\(597\) | −7.82927 | − | 9.33056i | −0.320431 | − | 0.381874i | ||||
\(598\) | 3.91207i | 0.159976i | ||||||||
\(599\) | 3.70030 | − | 3.10492i | 0.151190 | − | 0.126864i | −0.564055 | − | 0.825737i | \(-0.690759\pi\) |
0.715245 | + | 0.698873i | \(0.246315\pi\) | |||||||
\(600\) | 4.40223 | + | 2.54163i | 0.179720 | + | 0.103762i | ||||
\(601\) | 23.3955 | − | 8.51528i | 0.954324 | − | 0.347345i | 0.182517 | − | 0.983203i | \(-0.441576\pi\) |
0.771807 | + | 0.635857i | \(0.219353\pi\) | |||||||
\(602\) | 5.73984 | + | 9.94169i | 0.233938 | + | 0.405193i | ||||
\(603\) | 1.49731 | − | 2.59341i | 0.0609750 | − | 0.105612i | ||||
\(604\) | −0.350662 | + | 1.98870i | −0.0142682 | + | 0.0809191i | ||||
\(605\) | −1.86671 | + | 5.12875i | −0.0758926 | + | 0.208513i | ||||
\(606\) | −0.553109 | + | 0.319338i | −0.0224685 | + | 0.0129722i | ||||
\(607\) | −7.26139 | + | 8.65379i | −0.294731 | + | 0.351246i | −0.893006 | − | 0.450044i | \(-0.851408\pi\) |
0.598276 | + | 0.801290i | \(0.295853\pi\) | |||||||
\(608\) | 5.50329 | + | 4.61781i | 0.223188 | + | 0.187277i | ||||
\(609\) | 1.82356 | + | 5.01020i | 0.0738946 | + | 0.203024i | ||||
\(610\) | −6.34079 | + | 1.11805i | −0.256731 | + | 0.0452686i | ||||
\(611\) | 5.26914 | − | 0.929092i | 0.213167 | − | 0.0375871i | ||||
\(612\) | −0.816849 | − | 2.24427i | −0.0330191 | − | 0.0907194i | ||||
\(613\) | −10.1542 | − | 8.52042i | −0.410126 | − | 0.344136i | 0.414266 | − | 0.910156i | \(-0.364038\pi\) |
−0.824392 | + | 0.566019i | \(0.808483\pi\) | |||||||
\(614\) | 8.11419 | − | 9.67012i | 0.327462 | − | 0.390254i | ||||
\(615\) | 5.02082 | − | 2.89877i | 0.202459 | − | 0.116890i | ||||
\(616\) | −0.604710 | + | 1.66143i | −0.0243644 | + | 0.0669408i | ||||
\(617\) | 0.657294 | − | 3.72770i | 0.0264617 | − | 0.150072i | −0.968714 | − | 0.248179i | \(-0.920168\pi\) |
0.995176 | + | 0.0981076i | \(0.0312789\pi\) | |||||||
\(618\) | 4.04224 | − | 7.00137i | 0.162603 | − | 0.281636i | ||||
\(619\) | 4.70874 | + | 8.15577i | 0.189260 | + | 0.327808i | 0.945004 | − | 0.327059i | \(-0.106058\pi\) |
−0.755744 | + | 0.654868i | \(0.772724\pi\) | |||||||
\(620\) | 6.05218 | − | 2.20281i | 0.243061 | − | 0.0884671i | ||||
\(621\) | −3.36336 | − | 1.94184i | −0.134967 | − | 0.0779233i | ||||
\(622\) | −13.5274 | + | 11.3509i | −0.542401 | + | 0.455128i | ||||
\(623\) | − | 2.07226i | − | 0.0830232i | ||||||
\(624\) | 1.72313 | + | 2.05355i | 0.0689804 | + | 0.0822076i | ||||
\(625\) | −14.0895 | − | 5.12817i | −0.563581 | − | 0.205127i | ||||
\(626\) | 2.16313 | + | 12.2677i | 0.0864560 | + | 0.490316i | ||||
\(627\) | −2.28037 | − | 0.402091i | −0.0910692 | − | 0.0160580i | ||||
\(628\) | 20.9485 | 0.835936 | ||||||||
\(629\) | 9.39816 | + | 5.16623i | 0.374729 | + | 0.205991i | ||||
\(630\) | 1.08324 | 0.0431572 | ||||||||
\(631\) | −15.3162 | − | 2.70066i | −0.609729 | − | 0.107512i | −0.139746 | − | 0.990187i | \(-0.544629\pi\) |
−0.469983 | + | 0.882676i | \(0.655740\pi\) | |||||||
\(632\) | −0.851548 | − | 4.82937i | −0.0338727 | − | 0.192102i | ||||
\(633\) | 10.2005 | + | 3.71268i | 0.405433 | + | 0.147566i | ||||
\(634\) | −32.0869 | − | 38.2397i | −1.27433 | − | 1.51869i | ||||
\(635\) | − | 14.4755i | − | 0.574443i | ||||||
\(636\) | −8.27178 | + | 6.94085i | −0.327998 | + | 0.275223i | ||||
\(637\) | 3.09594 | + | 1.78744i | 0.122666 | + | 0.0708211i | ||||
\(638\) | −27.4566 | + | 9.99337i | −1.08702 | + | 0.395641i | ||||
\(639\) | 7.59555 | + | 13.1559i | 0.300475 | + | 0.520439i | ||||
\(640\) | −3.74927 | + | 6.49392i | −0.148203 | + | 0.256695i | ||||
\(641\) | −4.84231 | + | 27.4621i | −0.191260 | + | 1.08469i | 0.726386 | + | 0.687287i | \(0.241199\pi\) |
−0.917645 | + | 0.397400i | \(0.869913\pi\) | |||||||
\(642\) | −11.0132 | + | 30.2584i | −0.434655 | + | 1.19420i | ||||
\(643\) | −17.2724 | + | 9.97220i | −0.681156 | + | 0.393265i | −0.800290 | − | 0.599613i | \(-0.795321\pi\) |
0.119135 | + | 0.992878i | \(0.461988\pi\) | |||||||
\(644\) | 2.39091 | − | 2.84938i | 0.0942151 | − | 0.112281i | ||||
\(645\) | −5.68050 | − | 4.76650i | −0.223669 | − | 0.187681i | ||||
\(646\) | −1.20891 | − | 3.32145i | −0.0475639 | − | 0.130681i | ||||
\(647\) | −35.1901 | + | 6.20496i | −1.38347 | + | 0.243942i | −0.815332 | − | 0.578994i | \(-0.803445\pi\) |
−0.568134 | + | 0.822936i | \(0.692334\pi\) | |||||||
\(648\) | −1.16412 | + | 0.205265i | −0.0457309 | + | 0.00806359i | ||||
\(649\) | −5.47861 | − | 15.0524i | −0.215054 | − | 0.590857i | ||||
\(650\) | −3.31828 | − | 2.78437i | −0.130154 | − | 0.109212i | ||||
\(651\) | 2.58319 | − | 3.07853i | 0.101243 | − | 0.120657i | ||||
\(652\) | 16.0920 | − | 9.29072i | 0.630211 | − | 0.363853i | ||||
\(653\) | −12.2449 | + | 33.6425i | −0.479179 | + | 1.31653i | 0.431012 | + | 0.902346i | \(0.358157\pi\) |
−0.910191 | + | 0.414188i | \(0.864065\pi\) | |||||||
\(654\) | −4.48301 | + | 25.4244i | −0.175300 | + | 0.994174i | ||||
\(655\) | −5.13366 | + | 8.89176i | −0.200589 | + | 0.347430i | ||||
\(656\) | −16.8912 | − | 29.2563i | −0.659489 | − | 1.14227i | ||||
\(657\) | −9.73585 | + | 3.54356i | −0.379832 | + | 0.138247i | ||||
\(658\) | −10.9103 | − | 6.29908i | −0.425329 | − | 0.245564i | ||||
\(659\) | −1.72822 | + | 1.45015i | −0.0673217 | + | 0.0564897i | −0.675828 | − | 0.737060i | \(-0.736214\pi\) |
0.608506 | + | 0.793549i | \(0.291769\pi\) | |||||||
\(660\) | 2.39710i | 0.0933070i | ||||||||
\(661\) | 3.77692 | + | 4.50116i | 0.146905 | + | 0.175075i | 0.834479 | − | 0.551040i | \(-0.185769\pi\) |
−0.687574 | + | 0.726115i | \(0.741324\pi\) | |||||||
\(662\) | −8.88896 | − | 3.23532i | −0.345479 | − | 0.125744i | ||||
\(663\) | −0.168380 | − | 0.954928i | −0.00653932 | − | 0.0370863i | ||||
\(664\) | 6.48217 | + | 1.14298i | 0.251557 | + | 0.0443563i | ||||
\(665\) | 0.647362 | 0.0251036 | ||||||||
\(666\) | −6.98063 | + | 8.68281i | −0.270494 | + | 0.336452i | ||||
\(667\) | −29.2869 | −1.13399 | ||||||||
\(668\) | 8.03579 | + | 1.41693i | 0.310914 | + | 0.0548225i | ||||
\(669\) | −3.12783 | − | 17.7388i | −0.120929 | − | 0.685821i | ||||
\(670\) | −4.31132 | − | 1.56919i | −0.166561 | − | 0.0606232i | ||||
\(671\) | −5.71459 | − | 6.81039i | −0.220609 | − | 0.262912i | ||||
\(672\) | − | 4.64049i | − | 0.179011i | ||||||
\(673\) | −5.77932 | + | 4.84942i | −0.222776 | + | 0.186932i | −0.747344 | − | 0.664437i | \(-0.768671\pi\) |
0.524568 | + | 0.851369i | \(0.324227\pi\) | |||||||
\(674\) | −46.9435 | − | 27.1029i | −1.80820 | − | 1.04396i | ||||
\(675\) | 4.04094 | − | 1.47078i | 0.155536 | − | 0.0566104i | ||||
\(676\) | 8.60007 | + | 14.8958i | 0.330772 | + | 0.572914i | ||||
\(677\) | −8.66598 | + | 15.0099i | −0.333061 | + | 0.576878i | −0.983110 | − | 0.183014i | \(-0.941415\pi\) |
0.650050 | + | 0.759892i | \(0.274748\pi\) | |||||||
\(678\) | −0.399082 | + | 2.26331i | −0.0153267 | + | 0.0869218i | ||||
\(679\) | 3.71216 | − | 10.1991i | 0.142459 | − | 0.391404i | ||||
\(680\) | 1.50979 | − | 0.871677i | 0.0578978 | − | 0.0334273i | ||||
\(681\) | −9.26195 | + | 11.0380i | −0.354919 | + | 0.422976i | ||||
\(682\) | 16.8707 | + | 14.1562i | 0.646014 | + | 0.542070i | ||||
\(683\) | −13.2061 | − | 36.2835i | −0.505318 | − | 1.38835i | −0.886018 | − | 0.463652i | \(-0.846539\pi\) |
0.380699 | − | 0.924699i | \(-0.375683\pi\) | |||||||
\(684\) | 1.46019 | − | 0.257470i | 0.0558316 | − | 0.00984463i | ||||
\(685\) | −1.87206 | + | 0.330095i | −0.0715278 | + | 0.0126123i | ||||
\(686\) | −5.97929 | − | 16.4280i | −0.228290 | − | 0.627222i | ||||
\(687\) | 19.0480 | + | 15.9832i | 0.726726 | + | 0.609795i | ||||
\(688\) | −27.7744 | + | 33.1003i | −1.05889 | + | 1.26194i | ||||
\(689\) | −3.79669 | + | 2.19202i | −0.144642 | + | 0.0835093i | ||||
\(690\) | −2.03507 | + | 5.59130i | −0.0774737 | + | 0.212857i | ||||
\(691\) | 0.225969 | − | 1.28154i | 0.00859628 | − | 0.0487519i | −0.980208 | − | 0.197971i | \(-0.936565\pi\) |
0.988804 | + | 0.149219i | \(0.0476759\pi\) | |||||||
\(692\) | 4.06784 | − | 7.04571i | 0.154636 | − | 0.267838i | ||||
\(693\) | 0.747859 | + | 1.29533i | 0.0284088 | + | 0.0492055i | ||||
\(694\) | −19.1168 | + | 6.95795i | −0.725664 | + | 0.264120i | ||||
\(695\) | 0.585814 | + | 0.338220i | 0.0222212 | + | 0.0128294i | ||||
\(696\) | −6.82856 | + | 5.72984i | −0.258836 | + | 0.217189i | ||||
\(697\) | 12.2196i | 0.462851i | ||||||||
\(698\) | −11.9743 | − | 14.2704i | −0.453234 | − | 0.540143i | ||||
\(699\) | −0.0237254 | − | 0.00863534i | −0.000897377 | − | 0.000326618i | ||||
\(700\) | 0.715187 | + | 4.05602i | 0.0270315 | + | 0.153303i | ||||
\(701\) | −30.2309 | − | 5.33053i | −1.14181 | − | 0.201331i | −0.429411 | − | 0.903109i | \(-0.641279\pi\) |
−0.712396 | + | 0.701778i | \(0.752390\pi\) | |||||||
\(702\) | 1.00731 | 0.0380185 | ||||||||
\(703\) | −4.17175 | + | 5.18900i | −0.157340 | + | 0.195707i | ||||
\(704\) | 4.80767 | 0.181196 | ||||||||
\(705\) | 8.01422 | + | 1.41312i | 0.301833 | + | 0.0532213i | ||||
\(706\) | −6.23244 | − | 35.3459i | −0.234561 | − | 1.33026i | ||||
\(707\) | 0.231678 | + | 0.0843239i | 0.00871315 | + | 0.00317133i | ||||
\(708\) | 6.59310 | + | 7.85735i | 0.247784 | + | 0.295297i | ||||
\(709\) | 23.6103i | 0.886705i | 0.896347 | + | 0.443352i | \(0.146211\pi\) | ||||
−0.896347 | + | 0.443352i | \(0.853789\pi\) | |||||||
\(710\) | 17.8290 | − | 14.9603i | 0.669111 | − | 0.561451i | ||||
\(711\) | −3.59272 | − | 2.07426i | −0.134738 | − | 0.0777908i | ||||
\(712\) | 3.25563 | − | 1.18495i | 0.122010 | − | 0.0444080i | ||||
\(713\) | 11.0373 | + | 19.1172i | 0.413350 | + | 0.715944i | ||||
\(714\) | −1.14158 | + | 1.97728i | −0.0427227 | + | 0.0739978i | ||||
\(715\) | −0.169000 | + | 0.958444i | −0.00632022 | + | 0.0358438i | ||||
\(716\) | −9.78351 | + | 26.8800i | −0.365627 | + | 1.00455i | ||||
\(717\) | −1.19073 | + | 0.687470i | −0.0444687 | + | 0.0256740i | ||||
\(718\) | 2.17316 | − | 2.58987i | 0.0811017 | − | 0.0966532i | ||||
\(719\) | 5.64588 | + | 4.73745i | 0.210556 | + | 0.176677i | 0.741966 | − | 0.670437i | \(-0.233893\pi\) |
−0.531411 | + | 0.847114i | \(0.678338\pi\) | |||||||
\(720\) | 1.39451 | + | 3.83140i | 0.0519705 | + | 0.142788i | ||||
\(721\) | −3.07342 | + | 0.541928i | −0.114460 | + | 0.0201824i | ||||
\(722\) | −32.1099 | + | 5.66184i | −1.19501 | + | 0.210712i | ||||
\(723\) | 0.564268 | + | 1.55031i | 0.0209854 | + | 0.0576568i | ||||
\(724\) | −23.1487 | − | 19.4241i | −0.860315 | − | 0.721890i | ||||
\(725\) | 20.8446 | − | 24.8416i | 0.774149 | − | 0.922595i | ||||
\(726\) | 10.3494 | − | 5.97521i | 0.384101 | − | 0.221761i | ||||
\(727\) | −3.60191 | + | 9.89616i | −0.133587 | + | 0.367028i | −0.988393 | − | 0.151920i | \(-0.951454\pi\) |
0.854805 | + | 0.518949i | \(0.173676\pi\) | |||||||
\(728\) | 0.0798175 | − | 0.452667i | 0.00295823 | − | 0.0167770i | ||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | 7.93674 | + | 13.7468i | 0.293752 | + | 0.508793i | ||||
\(731\) | 14.6870 | − | 5.34562i | 0.543217 | − | 0.197715i | ||||
\(732\) | 4.93006 | + | 2.84637i | 0.182220 | + | 0.105205i | ||||
\(733\) | 10.7922 | − | 9.05574i | 0.398619 | − | 0.334481i | −0.421340 | − | 0.906903i | \(-0.638440\pi\) |
0.819960 | + | 0.572421i | \(0.193996\pi\) | |||||||
\(734\) | 26.9163i | 0.993499i | ||||||||
\(735\) | 3.49503 | + | 4.16522i | 0.128916 | + | 0.153636i | ||||
\(736\) | 23.9526 | + | 8.71805i | 0.882906 | + | 0.321351i | ||||
\(737\) | −1.10007 | − | 6.23881i | −0.0405216 | − | 0.229809i | ||||
\(738\) | −12.5012 | − | 2.20431i | −0.460177 | − | 0.0811417i | ||||
\(739\) | 1.68684 | 0.0620515 | 0.0310257 | − | 0.999519i | \(-0.490123\pi\) | ||||
0.0310257 | + | 0.999519i | \(0.490123\pi\) | |||||||
\(740\) | 6.04007 | + | 3.32027i | 0.222037 | + | 0.122055i | ||||
\(741\) | 0.601986 | 0.0221145 | ||||||||
\(742\) | 10.1659 | + | 1.79252i | 0.373200 | + | 0.0658053i | ||||
\(743\) | −5.09708 | − | 28.9070i | −0.186994 | − | 1.06050i | −0.923367 | − | 0.383919i | \(-0.874574\pi\) |
0.736373 | − | 0.676576i | \(-0.236537\pi\) | |||||||
\(744\) | 6.31366 | + | 2.29798i | 0.231470 | + | 0.0842482i | ||||
\(745\) | 2.56965 | + | 3.06238i | 0.0941445 | + | 0.112197i | ||||
\(746\) | − | 27.7145i | − | 1.01470i | ||||||
\(747\) | 4.26557 | − | 3.57924i | 0.156069 | − | 0.130957i | ||||
\(748\) | −4.37553 | − | 2.52621i | −0.159985 | − | 0.0923674i | ||||
\(749\) | 11.6806 | − | 4.25139i | 0.426800 | − | 0.155342i | ||||
\(750\) | −7.12443 | − | 12.3399i | −0.260147 | − | 0.450588i | ||||
\(751\) | 23.6197 | − | 40.9106i | 0.861897 | − | 1.49285i | −0.00819939 | − | 0.999966i | \(-0.502610\pi\) |
0.870096 | − | 0.492882i | \(-0.164057\pi\) | |||||||
\(752\) | 8.23426 | − | 46.6988i | 0.300273 | − | 1.70293i | ||||
\(753\) | 5.81926 | − | 15.9883i | 0.212066 | − | 0.582646i | ||||
\(754\) | 6.57845 | − | 3.79807i | 0.239573 | − | 0.138317i | ||||
\(755\) | −0.801559 | + | 0.955261i | −0.0291717 | + | 0.0347655i | ||||
\(756\) | −0.733680 | − | 0.615631i | −0.0266837 | − | 0.0223903i | ||||
\(757\) | 8.80314 | + | 24.1864i | 0.319956 | + | 0.879071i | 0.990538 | + | 0.137236i | \(0.0438219\pi\) |
−0.670583 | + | 0.741835i | \(0.733956\pi\) | |||||||
\(758\) | 66.6628 | − | 11.7544i | 2.42130 | − | 0.426941i | ||||
\(759\) | −8.09104 | + | 1.42667i | −0.293686 | + | 0.0517848i | ||||
\(760\) | 0.370173 | + | 1.01704i | 0.0134276 | + | 0.0368920i | ||||
\(761\) | −36.3671 | − | 30.5156i | −1.31831 | − | 1.10619i | −0.986662 | − | 0.162785i | \(-0.947952\pi\) |
−0.331644 | − | 0.943405i | \(-0.607603\pi\) | |||||||
\(762\) | −20.3732 | + | 24.2798i | −0.738043 | + | 0.879565i | ||||
\(763\) | 8.63077 | − | 4.98298i | 0.312455 | − | 0.180396i | ||||
\(764\) | −2.46791 | + | 6.78053i | −0.0892859 | + | 0.245311i | ||||
\(765\) | 0.256100 | − | 1.45242i | 0.00925933 | − | 0.0525123i | ||||
\(766\) | 7.22857 | − | 12.5202i | 0.261179 | − | 0.452375i | ||||
\(767\) | 2.08220 | + | 3.60647i | 0.0751837 | + | 0.130222i | ||||
\(768\) | 19.6995 | − | 7.17002i | 0.710844 | − | 0.258726i | ||||
\(769\) | 28.6843 | + | 16.5609i | 1.03438 | + | 0.597201i | 0.918237 | − | 0.396031i | \(-0.129613\pi\) |
0.116146 | + | 0.993232i | \(0.462946\pi\) | |||||||
\(770\) | 1.75545 | − | 1.47299i | 0.0632619 | − | 0.0530830i | ||||
\(771\) | − | 20.7517i | − | 0.747354i | ||||||
\(772\) | 18.5352 | + | 22.0894i | 0.667095 | + | 0.795013i | ||||
\(773\) | 41.5371 | + | 15.1183i | 1.49399 | + | 0.543767i | 0.954496 | − | 0.298225i | \(-0.0963946\pi\) |
0.539491 | + | 0.841992i | \(0.318617\pi\) | |||||||
\(774\) | 2.81942 | + | 15.9897i | 0.101342 | + | 0.574739i | ||||
\(775\) | −24.0712 | − | 4.24440i | −0.864663 | − | 0.152463i | ||||
\(776\) | 18.1460 | 0.651403 | ||||||||
\(777\) | 4.29977 | − | 0.0902265i | 0.154253 | − | 0.00323686i | ||||
\(778\) | −29.2912 | −1.05014 | ||||||||
\(779\) | −7.47096 | − | 1.31733i | −0.267675 | − | 0.0471983i | ||||
\(780\) | −0.108215 | − | 0.613719i | −0.00387473 | − | 0.0219747i | ||||
\(781\) | 30.1985 | + | 10.9913i | 1.08059 | + | 0.393301i | ||||
\(782\) | −8.06136 | − | 9.60716i | −0.288274 | − | 0.343551i | ||||
\(783\) | 7.54101i | 0.269494i | ||||||||
\(784\) | 24.2707 | − | 20.3655i | 0.866811 | − | 0.727341i | ||||
\(785\) | 11.2030 | + | 6.46804i | 0.399851 | + | 0.230854i | ||||
\(786\) | 21.1252 | − | 7.68894i | 0.753511 | − | 0.274255i | ||||
\(787\) | 18.7670 | + | 32.5054i | 0.668972 | + | 1.15869i | 0.978192 | + | 0.207703i | \(0.0665988\pi\) |
−0.309220 | + | 0.950991i | \(0.600068\pi\) | |||||||
\(788\) | 11.9896 | − | 20.7666i | 0.427112 | − | 0.739781i | ||||
\(789\) | 1.04440 | − | 5.92310i | 0.0371817 | − | 0.210868i | ||||
\(790\) | −2.17385 | + | 5.97259i | −0.0773420 | + | 0.212495i | ||||
\(791\) | 0.768319 | − | 0.443589i | 0.0273183 | − | 0.0157722i | ||||
\(792\) | −1.60740 | + | 1.91562i | −0.0571163 | + | 0.0680686i | ||||
\(793\) | 1.77053 | + | 1.48565i | 0.0628735 | + | 0.0527571i | ||||
\(794\) | −14.1595 | − | 38.9029i | −0.502501 | − | 1.38061i | ||||
\(795\) | −6.56669 | + | 1.15789i | −0.232897 | + | 0.0410660i | ||||
\(796\) | 16.2487 | − | 2.86508i | 0.575919 | − | 0.101550i | ||||
\(797\) | 10.6981 | + | 29.3929i | 0.378948 | + | 1.04115i | 0.971793 | + | 0.235834i | \(0.0757823\pi\) |
−0.592845 | + | 0.805316i | \(0.701995\pi\) | |||||||
\(798\) | −1.08582 | − | 0.911113i | −0.0384377 | − | 0.0322530i | ||||
\(799\) | −11.0253 | + | 13.1395i | −0.390047 | + | 0.464840i | ||||
\(800\) | −24.4428 | + | 14.1121i | −0.864184 | + | 0.498937i | ||||
\(801\) | 1.00243 | − | 2.75416i | 0.0354193 | − | 0.0973136i | ||||
\(802\) | −5.71165 | + | 32.3924i | −0.201685 | + | 1.14381i | ||||
\(803\) | −10.9589 | + | 18.9814i | −0.386732 | + | 0.669839i | ||||
\(804\) | 2.02826 | + | 3.51305i | 0.0715312 | + | 0.123896i | ||||
\(805\) | 2.15840 | − | 0.785594i | 0.0760736 | − | 0.0276885i | ||||
\(806\) | −4.95842 | − | 2.86275i | −0.174653 | − | 0.100836i | ||||
\(807\) | −15.1585 | + | 12.7195i | −0.533606 | + | 0.447748i | ||||
\(808\) | 0.412197i | 0.0145010i | ||||||||
\(809\) | −1.77138 | − | 2.11105i | −0.0622785 | − | 0.0742206i | 0.734006 | − | 0.679143i | \(-0.237648\pi\) |
−0.796284 | + | 0.604923i | \(0.793204\pi\) | |||||||
\(810\) | 1.43969 | + | 0.524005i | 0.0505856 | + | 0.0184117i | ||||
\(811\) | −2.48025 | − | 14.0662i | −0.0870934 | − | 0.493931i | −0.996885 | − | 0.0788663i | \(-0.974870\pi\) |
0.909792 | − | 0.415065i | \(-0.136241\pi\) | |||||||
\(812\) | −7.11269 | − | 1.25416i | −0.249606 | − | 0.0440124i | ||||
\(813\) | 28.0836 | 0.984935 | ||||||||
\(814\) | 0.494453 | + | 23.5633i | 0.0173306 | + | 0.825893i | ||||
\(815\) | 11.4744 | 0.401930 | ||||||||
\(816\) | −8.46324 | − | 1.49230i | −0.296273 | − | 0.0522409i | ||||
\(817\) | 1.68494 | + | 9.55575i | 0.0589485 | + | 0.334313i | ||||
\(818\) | −4.32132 | − | 1.57283i | −0.151092 | − | 0.0549928i | ||||
\(819\) | −0.249948 | − | 0.297876i | −0.00873389 | − | 0.0104086i | ||||
\(820\) | 7.85339i | 0.274252i | ||||||||
\(821\) | −2.21427 | + | 1.85800i | −0.0772787 | + | 0.0648445i | −0.680609 | − | 0.732647i | \(-0.738285\pi\) |
0.603330 | + | 0.797492i | \(0.293840\pi\) | |||||||
\(822\) | 3.60460 | + | 2.08112i | 0.125725 | + | 0.0725872i | ||||
\(823\) | 11.4959 | − | 4.18418i | 0.400723 | − | 0.145851i | −0.133794 | − | 0.991009i | \(-0.542716\pi\) |
0.534517 | + | 0.845158i | \(0.320494\pi\) | |||||||
\(824\) | −2.60884 | − | 4.51864i | −0.0908832 | − | 0.157414i | ||||
\(825\) | 4.54858 | − | 7.87838i | 0.158361 | − | 0.274290i | ||||
\(826\) | 1.70271 | − | 9.65653i | 0.0592448 | − | 0.335994i | ||||
\(827\) | −4.39436 | + | 12.0734i | −0.152807 | + | 0.419833i | −0.992349 | − | 0.123461i | \(-0.960601\pi\) |
0.839543 | + | 0.543294i | \(0.182823\pi\) | |||||||
\(828\) | 4.55603 | − | 2.63043i | 0.158333 | − | 0.0914137i | ||||
\(829\) | 25.1066 | − | 29.9208i | 0.871987 | − | 1.03919i | −0.126895 | − | 0.991916i | \(-0.540501\pi\) |
0.998882 | − | 0.0472770i | \(-0.0150543\pi\) | |||||||
\(830\) | −6.53523 | − | 5.48371i | −0.226841 | − | 0.190342i | ||||
\(831\) | −2.43115 | − | 6.67953i | −0.0843356 | − | 0.231710i | ||||
\(832\) | −1.23089 | + | 0.217039i | −0.0426734 | + | 0.00752447i | ||||
\(833\) | −11.2862 | + | 1.99007i | −0.391044 | + | 0.0689517i | ||||
\(834\) | −0.506568 | − | 1.39179i | −0.0175410 | − | 0.0481936i | ||||
\(835\) | 3.85995 | + | 3.23888i | 0.133579 | + | 0.112086i | ||||
\(836\) | 2.01620 | − | 2.40282i | 0.0697318 | − | 0.0831032i | ||||
\(837\) | 4.92244 | − | 2.84197i | 0.170144 | − | 0.0982329i | ||||
\(838\) | −15.5440 | + | 42.7069i | −0.536960 | + | 1.47529i | ||||
\(839\) | 8.25742 | − | 46.8301i | 0.285078 | − | 1.61676i | −0.419930 | − | 0.907556i | \(-0.637945\pi\) |
0.705008 | − | 0.709199i | \(-0.250943\pi\) | |||||||
\(840\) | 0.349557 | − | 0.605451i | 0.0120609 | − | 0.0208901i | ||||
\(841\) | 13.9334 | + | 24.1334i | 0.480463 | + | 0.832187i | ||||
\(842\) | 20.7463 | − | 7.55104i | 0.714965 | − | 0.260226i | ||||
\(843\) | −8.97580 | − | 5.18218i | −0.309143 | − | 0.178484i | ||||
\(844\) | −11.2643 | + | 9.45183i | −0.387732 | + | 0.325345i | ||||
\(845\) | 10.6214i | 0.365388i | ||||||||
\(846\) | −11.4534 | − | 13.6496i | −0.393776 | − | 0.469284i | ||||
\(847\) | −4.33499 | − | 1.57781i | −0.148952 | − | 0.0542141i | ||||
\(848\) | 6.74700 | + | 38.2641i | 0.231693 | + | 1.31400i | ||||
\(849\) | −29.3183 | − | 5.16960i | −1.00620 | − | 0.177420i | ||||
\(850\) | 13.8865 | 0.476304 | ||||||||
\(851\) | −7.61222 | + | 22.3634i | −0.260943 | + | 0.766609i | ||||
\(852\) | −20.5780 | −0.704989 | ||||||||
\(853\) | −24.8327 | − | 4.37867i | −0.850254 | − | 0.149923i | −0.268492 | − | 0.963282i | \(-0.586525\pi\) |
−0.581762 | + | 0.813359i | \(0.697636\pi\) | |||||||
\(854\) | −0.945015 | − | 5.35945i | −0.0323378 | − | 0.183397i | ||||
\(855\) | 0.860385 | + | 0.313155i | 0.0294246 | + | 0.0107097i | ||||
\(856\) | 13.3584 | + | 15.9199i | 0.456579 | + | 0.544130i | ||||
\(857\) | 32.2299i | 1.10095i | 0.834851 | + | 0.550475i | \(0.185554\pi\) | ||||
−0.834851 | + | 0.550475i | \(0.814446\pi\) | |||||||
\(858\) | 1.63240 | − | 1.36975i | 0.0557292 | − | 0.0467624i | ||||
\(859\) | −48.1229 | − | 27.7838i | −1.64193 | − | 0.947970i | −0.980146 | − | 0.198279i | \(-0.936465\pi\) |
−0.661787 | − | 0.749692i | \(-0.730202\pi\) | |||||||
\(860\) | 9.43911 | − | 3.43556i | 0.321871 | − | 0.117152i | ||||
\(861\) | 2.45014 | + | 4.24377i | 0.0835005 | + | 0.144627i | ||||
\(862\) | 8.36690 | − | 14.4919i | 0.284978 | − | 0.493596i | ||||
\(863\) | 0.191033 | − | 1.08340i | 0.00650282 | − | 0.0368794i | −0.981384 | − | 0.192057i | \(-0.938484\pi\) |
0.987887 | + | 0.155178i | \(0.0495951\pi\) | |||||||
\(864\) | 2.24479 | − | 6.16751i | 0.0763693 | − | 0.209823i | ||||
\(865\) | 4.35086 | − | 2.51197i | 0.147934 | − | 0.0854096i | ||||
\(866\) | −0.549696 | + | 0.655102i | −0.0186794 | + | 0.0222613i | ||||
\(867\) | −10.6415 | − | 8.92927i | −0.361404 | − | 0.303254i | ||||
\(868\) | 1.86189 | + | 5.11550i | 0.0631967 | + | 0.173631i | ||||
\(869\) | −8.64280 | + | 1.52396i | −0.293187 | + | 0.0516967i | ||||
\(870\) | 11.3780 | − | 2.00624i | 0.385750 | − | 0.0680181i | ||||
\(871\) | 0.563293 | + | 1.54764i | 0.0190865 | + | 0.0524396i | ||||
\(872\) | 12.7638 | + | 10.7101i | 0.432236 | + | 0.362689i | ||||
\(873\) | 9.86739 | − | 11.7595i | 0.333960 | − | 0.397999i | ||||
\(874\) | 6.74278 | − | 3.89294i | 0.228078 | − | 0.131681i | ||||
\(875\) | −1.88127 | + | 5.16874i | −0.0635984 | + | 0.174735i | ||||
\(876\) | 2.43709 | − | 13.8214i | 0.0823416 | − | 0.466982i | ||||
\(877\) | 5.63430 | − | 9.75890i | 0.190257 | − | 0.329535i | −0.755078 | − | 0.655634i | \(-0.772401\pi\) |
0.945335 | + | 0.326100i | \(0.105735\pi\) | |||||||
\(878\) | 4.34697 | + | 7.52917i | 0.146703 | + | 0.254097i | ||||
\(879\) | −24.5109 | + | 8.92125i | −0.826733 | + | 0.300906i | ||||
\(880\) | 7.46985 | + | 4.31272i | 0.251809 | + | 0.145382i | ||||
\(881\) | −15.3179 | + | 12.8532i | −0.516073 | + | 0.433036i | −0.863260 | − | 0.504759i | \(-0.831581\pi\) |
0.347187 | + | 0.937796i | \(0.387137\pi\) | |||||||
\(882\) | − | 11.9053i | − | 0.400873i | ||||||
\(883\) | −8.49373 | − | 10.1224i | −0.285837 | − | 0.340647i | 0.603951 | − | 0.797021i | \(-0.293592\pi\) |
−0.889788 | + | 0.456375i | \(0.849148\pi\) | |||||||
\(884\) | 1.23429 | + | 0.449246i | 0.0415137 | + | 0.0151098i | ||||
\(885\) | 1.09987 | + | 6.23769i | 0.0369718 | + | 0.209678i | ||||
\(886\) | −35.8734 | − | 6.32544i | −1.20519 | − | 0.212507i | ||||
\(887\) | 33.7760 | 1.13409 | 0.567044 | − | 0.823688i | \(-0.308087\pi\) | ||||
0.567044 | + | 0.823688i | \(0.308087\pi\) | |||||||
\(888\) | 2.60043 | + | 6.70358i | 0.0872649 | + | 0.224958i | ||||
\(889\) | 12.2352 | 0.410355 | ||||||||
\(890\) | −4.42221 | − | 0.779755i | −0.148233 | − | 0.0261374i | ||||
\(891\) | 0.367350 | + | 2.08335i | 0.0123067 | + | 0.0697947i | ||||
\(892\) | 22.9283 | + | 8.34521i | 0.767695 | + | 0.279418i | ||||
\(893\) | −6.84476 | − | 8.15726i | −0.229051 | − | 0.272972i | ||||
\(894\) | − | 8.75313i | − | 0.292748i | ||||||
\(895\) | −13.5315 | + | 11.3543i | −0.452309 | + | 0.379533i | ||||
\(896\) | −5.48888 | − | 3.16901i | −0.183371 | − | 0.105869i | ||||
\(897\) | 2.00711 | − | 0.730529i | 0.0670155 | − | 0.0243916i | ||||
\(898\) | 1.52394 | + | 2.63954i | 0.0508545 | + | 0.0880827i | ||||
\(899\) | 21.4313 | − | 37.1202i | 0.714775 | − | 1.23803i | ||||
\(900\) | −1.01153 | + | 5.73668i | −0.0337177 | + | 0.191223i | ||||
\(901\) | 4.80685 | − | 13.2067i | 0.160139 | − | 0.439980i | ||||
\(902\) | −23.2564 | + | 13.4271i | −0.774353 | + | 0.447073i | ||||
\(903\) | 4.02881 | − | 4.80135i | 0.134070 | − | 0.159779i | ||||
\(904\) | 1.13624 | + | 0.953420i | 0.0377909 | + | 0.0317103i | ||||
\(905\) | −6.38227 | − | 17.5351i | −0.212154 | − | 0.582888i | ||||
\(906\) | 2.68892 | − | 0.474128i | 0.0893333 | − | 0.0157519i | ||||
\(907\) | 19.7944 | − | 3.49030i | 0.657264 | − | 0.115893i | 0.164938 | − | 0.986304i | \(-0.447258\pi\) |
0.492326 | + | 0.870411i | \(0.336147\pi\) | |||||||
\(908\) | −6.67575 | − | 18.3415i | −0.221542 | − | 0.608683i | ||||
\(909\) | 0.267124 | + | 0.224144i | 0.00885995 | + | 0.00743438i | ||||
\(910\) | −0.382942 | + | 0.456373i | −0.0126944 | + | 0.0151286i | ||||
\(911\) | 13.0282 | − | 7.52182i | 0.431643 | − | 0.249209i | −0.268404 | − | 0.963307i | \(-0.586496\pi\) |
0.700046 | + | 0.714098i | \(0.253163\pi\) | |||||||
\(912\) | 1.82475 | − | 5.01347i | 0.0604236 | − | 0.166012i | ||||
\(913\) | 2.04552 | − | 11.6007i | 0.0676967 | − | 0.383927i | ||||
\(914\) | −37.6127 | + | 65.1471i | −1.24412 | + | 2.15487i | ||||
\(915\) | 1.75769 | + | 3.04440i | 0.0581073 | + | 0.100645i | ||||
\(916\) | −31.6515 | + | 11.5202i | −1.04579 | + | 0.380638i | ||||
\(917\) | −7.51561 | − | 4.33914i | −0.248187 | − | 0.143291i | ||||
\(918\) | −2.47373 | + | 2.07570i | −0.0816451 | + | 0.0685084i | ||||
\(919\) | 35.3646i | 1.16657i | 0.812267 | + | 0.583286i | \(0.198233\pi\) | ||||
−0.812267 | + | 0.583286i | \(0.801767\pi\) | |||||||
\(920\) | 2.46842 | + | 2.94175i | 0.0813815 | + | 0.0969867i | ||||
\(921\) | −6.47654 | − | 2.35727i | −0.213409 | − | 0.0776746i | ||||
\(922\) | −6.66061 | − | 37.7742i | −0.219356 | − | 1.24403i | ||||
\(923\) | −8.22779 | − | 1.45078i | −0.270821 | − | 0.0477530i | ||||
\(924\) | −2.02611 | −0.0666540 | ||||||||
\(925\) | −13.5512 | − | 22.3737i | −0.445559 | − | 0.735644i | ||||
\(926\) | 7.84284 | 0.257732 | ||||||||
\(927\) | −4.34693 | − | 0.766481i | −0.142772 | − | 0.0251746i | ||||
\(928\) | −8.59457 | − | 48.7422i | −0.282131 | − | 1.60004i | ||||
\(929\) | 51.6880 | + | 18.8129i | 1.69583 | + | 0.617231i | 0.995340 | − | 0.0964312i | \(-0.0307428\pi\) |
0.700490 | + | 0.713663i | \(0.252965\pi\) | |||||||
\(930\) | −5.59759 | − | 6.67095i | −0.183552 | − | 0.218749i | ||||
\(931\) | − | 7.11483i | − | 0.233179i | ||||||
\(932\) | 0.0261996 | − | 0.0219841i | 0.000858196 | − | 0.000720112i | ||||
\(933\) | 8.34971 | + | 4.82071i | 0.273357 | + | 0.157823i | ||||
\(934\) | −58.1074 | + | 21.1494i | −1.90133 | + | 0.692028i | ||||
\(935\) | −1.55998 | − | 2.70197i | −0.0510169 | − | 0.0883639i | ||||
\(936\) | 0.325056 | − | 0.563013i | 0.0106248 | − | 0.0184027i | ||||
\(937\) | 8.10878 | − | 45.9872i | 0.264902 | − | 1.50234i | −0.504411 | − | 0.863464i | \(-0.668290\pi\) |
0.769313 | − | 0.638872i | \(-0.220599\pi\) | |||||||
\(938\) | 1.32633 | − | 3.64407i | 0.0433063 | − | 0.118983i | ||||
\(939\) | 5.89009 | − | 3.40064i | 0.192216 | − | 0.110976i | ||||
\(940\) | −7.08582 | + | 8.44455i | −0.231114 | + | 0.275431i | ||||
\(941\) | 5.75739 | + | 4.83102i | 0.187686 | + | 0.157487i | 0.731789 | − | 0.681531i | \(-0.238686\pi\) |
−0.544103 | + | 0.839018i | \(0.683130\pi\) | |||||||
\(942\) | −9.68751 | − | 26.6162i | −0.315636 | − | 0.867203i | ||||
\(943\) | −26.5079 | + | 4.67406i | −0.863217 | + | 0.152208i | ||||
\(944\) | 36.3470 | − | 6.40896i | 1.18300 | − | 0.208594i | ||||
\(945\) | −0.202281 | − | 0.555762i | −0.00658019 | − | 0.0180789i | ||||
\(946\) | 26.3120 | + | 22.0784i | 0.855477 | + | 0.717830i | ||||
\(947\) | −28.6621 | + | 34.1581i | −0.931392 | + | 1.10999i | 0.0623241 | + | 0.998056i | \(0.480149\pi\) |
−0.993716 | + | 0.111933i | \(0.964296\pi\) | |||||||
\(948\) | 4.86672 | − | 2.80980i | 0.158064 | − | 0.0912582i | ||||
\(949\) | 1.94887 | − | 5.35447i | 0.0632629 | − | 0.173813i | ||||
\(950\) | −1.49703 | + | 8.49010i | −0.0485702 | + | 0.275455i | ||||
\(951\) | −13.6273 | + | 23.6032i | −0.441896 | + | 0.765386i | ||||
\(952\) | 0.736771 | + | 1.27612i | 0.0238789 | + | 0.0413594i | ||||
\(953\) | −53.0611 | + | 19.3127i | −1.71882 | + | 0.625599i | −0.997736 | − | 0.0672509i | \(-0.978577\pi\) |
−0.721082 | + | 0.692850i | \(0.756355\pi\) | |||||||
\(954\) | 12.6440 | + | 7.30000i | 0.409364 | + | 0.236346i | ||||
\(955\) | −3.41336 | + | 2.86415i | −0.110454 | + | 0.0926817i | ||||
\(956\) | − | 1.86250i | − | 0.0602376i | ||||||
\(957\) | 10.2543 | + | 12.2206i | 0.331475 | + | 0.395037i | ||||
\(958\) | 59.1403 | + | 21.5253i | 1.91074 | + | 0.695451i | ||||
\(959\) | −0.279007 | − | 1.58233i | −0.00900961 | − | 0.0510960i | ||||
\(960\) | −1.87215 | − | 0.330110i | −0.0604232 | − | 0.0106542i | ||||
\(961\) | −1.30720 | −0.0421678 | ||||||||
\(962\) | −1.19034 | − | 6.01049i | −0.0383781 | − | 0.193786i | ||||
\(963\) | 17.5808 | 0.566535 | ||||||||
\(964\) | −2.20089 | − | 0.388076i | −0.0708859 | − | 0.0124991i | ||||
\(965\) | 3.09207 | + | 17.5360i | 0.0995373 | + | 0.564504i | ||||
\(966\) | −4.72596 | − | 1.72011i | −0.152055 | − | 0.0553435i | ||||
\(967\) | −35.4553 | − | 42.2539i | −1.14016 | − | 1.35879i | −0.923979 | − | 0.382442i | \(-0.875083\pi\) |
−0.216185 | − | 0.976352i | \(-0.569361\pi\) | |||||||
\(968\) | − | 7.71273i | − | 0.247896i | ||||||
\(969\) | −1.47834 | + | 1.24048i | −0.0474912 | + | 0.0398498i | ||||
\(970\) | −20.3680 | − | 11.7595i | −0.653978 | − | 0.377575i | ||||
\(971\) | −37.9986 | + | 13.8304i | −1.21943 | + | 0.443837i | −0.869966 | − | 0.493111i | \(-0.835860\pi\) |
−0.349467 | + | 0.936949i | \(0.613637\pi\) | |||||||
\(972\) | −0.677303 | − | 1.17312i | −0.0217245 | − | 0.0376279i | ||||
\(973\) | −0.285875 | + | 0.495149i | −0.00916472 | + | 0.0158738i | ||||
\(974\) | −4.19250 | + | 23.7769i | −0.134336 | + | 0.761860i | ||||
\(975\) | −0.808892 | + | 2.22241i | −0.0259053 | + | 0.0711741i | ||||
\(976\) | 17.7397 | − | 10.2420i | 0.567835 | − | 0.327840i | ||||
\(977\) | 20.3098 | − | 24.2042i | 0.649767 | − | 0.774362i | −0.336112 | − | 0.941822i | \(-0.609112\pi\) |
0.985879 | + | 0.167460i | \(0.0535565\pi\) | |||||||
\(978\) | −19.2460 | − | 16.1493i | −0.615420 | − | 0.516399i | ||||
\(979\) | −2.12063 | − | 5.82639i | −0.0677757 | − | 0.186212i | ||||
\(980\) | −7.25351 | + | 1.27899i | −0.231705 | + | 0.0408558i | ||||
\(981\) | 13.8813 | − | 2.44765i | 0.443196 | − | 0.0781475i | ||||
\(982\) | −2.99635 | − | 8.23239i | −0.0956172 | − | 0.262706i | ||||
\(983\) | −21.9187 | − | 18.3920i | −0.699099 | − | 0.586614i | 0.222418 | − | 0.974951i | \(-0.428605\pi\) |
−0.921517 | + | 0.388337i | \(0.873050\pi\) | |||||||
\(984\) | −5.26616 | + | 6.27597i | −0.167879 | + | 0.200071i | ||||
\(985\) | 12.8238 | − | 7.40382i | 0.408600 | − | 0.235905i | ||||
\(986\) | −8.32873 | + | 22.8830i | −0.265241 | + | 0.728744i | ||||
\(987\) | −1.19442 | + | 6.77388i | −0.0380187 | + | 0.215615i | ||||
\(988\) | −0.407727 | + | 0.706204i | −0.0129715 | + | 0.0224673i | ||||
\(989\) | 17.2140 | + | 29.8156i | 0.547374 | + | 0.948080i | ||||
\(990\) | 3.04565 | − | 1.10852i | 0.0967970 | − | 0.0352312i | ||||
\(991\) | 32.6784 | + | 18.8669i | 1.03806 | + | 0.599325i | 0.919284 | − | 0.393595i | \(-0.128769\pi\) |
0.118778 | + | 0.992921i | \(0.462102\pi\) | |||||||
\(992\) | −28.5777 | + | 23.9796i | −0.907344 | + | 0.761352i | ||||
\(993\) | 5.16469i | 0.163896i | ||||||||
\(994\) | 12.6450 | + | 15.0697i | 0.401074 | + | 0.477981i | ||||
\(995\) | 9.57421 | + | 3.48473i | 0.303523 | + | 0.110473i | ||||
\(996\) | 1.30980 | + | 7.42827i | 0.0415027 | + | 0.235374i | ||||
\(997\) | −18.7184 | − | 3.30057i | −0.592819 | − | 0.104530i | −0.130813 | − | 0.991407i | \(-0.541759\pi\) |
−0.462005 | + | 0.886877i | \(0.652870\pi\) | |||||||
\(998\) | 71.1544 | 2.25235 | ||||||||
\(999\) | 5.75832 | + | 1.96005i | 0.182185 | + | 0.0620133i |
(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 | 111.2.o.a.4.2 | ✓ | 12 | |
3.2 | odd | 2 | 333.2.bl.b.226.1 | 12 | |||
37.18 | odd | 36 | 4107.2.a.p.1.2 | 12 | |||
37.19 | odd | 36 | 4107.2.a.p.1.11 | 12 | |||
37.28 | even | 18 | inner | 111.2.o.a.28.2 | yes | 12 | |
111.65 | odd | 18 | 333.2.bl.b.28.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
111.2.o.a.4.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
111.2.o.a.28.2 | yes | 12 | 37.28 | even | 18 | inner | |
333.2.bl.b.28.1 | 12 | 111.65 | odd | 18 | |||
333.2.bl.b.226.1 | 12 | 3.2 | odd | 2 | |||
4107.2.a.p.1.2 | 12 | 37.18 | odd | 36 | |||
4107.2.a.p.1.11 | 12 | 37.19 | odd | 36 |