Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(5,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.s (of order \(22\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.13 | ||
Character | \(\chi\) | \(=\) | 804.5 |
Dual form | 804.2.s.b.161.13 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.429842 | − | 1.67787i | 0.248170 | − | 0.968717i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.03558 | + | 0.891328i | −1.35755 | + | 0.398614i | −0.877900 | − | 0.478843i | \(-0.841056\pi\) |
−0.479655 | + | 0.877457i | \(0.659238\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.25477 | − | 1.08727i | −0.474259 | − | 0.410948i | 0.384661 | − | 0.923058i | \(-0.374318\pi\) |
−0.858920 | + | 0.512110i | \(0.828864\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.63047 | − | 1.44244i | −0.876824 | − | 0.480812i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.88696 | − | 0.554063i | 0.568941 | − | 0.167056i | 0.0154049 | − | 0.999881i | \(-0.495096\pi\) |
0.553536 | + | 0.832825i | \(0.313278\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.265744 | − | 0.413506i | −0.0737042 | − | 0.114686i | 0.802445 | − | 0.596726i | \(-0.203532\pi\) |
−0.876149 | + | 0.482040i | \(0.839896\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.190706 | + | 5.47644i | 0.0492402 | + | 1.41401i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.11532 | − | 0.304138i | −0.513042 | − | 0.0737642i | −0.119068 | − | 0.992886i | \(-0.537991\pi\) |
−0.393973 | + | 0.919122i | \(0.628900\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.38841 | + | 5.06450i | 1.00677 | + | 1.16188i | 0.986778 | + | 0.162076i | \(0.0518189\pi\) |
0.0199928 | + | 0.999800i | \(0.493636\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.36364 | + | 1.63799i | −0.515789 | + | 0.357438i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.82102 | + | 2.65837i | −1.21377 | + | 0.554309i | −0.916327 | − | 0.400432i | \(-0.868860\pi\) |
−0.297440 | + | 0.954740i | \(0.596133\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.21404 | − | 2.70820i | 0.842809 | − | 0.541640i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.55090 | + | 3.79356i | −0.683372 | + | 0.730071i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 9.06475i | 1.68328i | 0.540038 | + | 0.841641i | \(0.318410\pi\) | ||||
−0.540038 | + | 0.841641i | \(0.681590\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.35609 | + | 5.22218i | −0.602772 | + | 0.937931i | 0.397026 | + | 0.917808i | \(0.370042\pi\) |
−0.999797 | + | 0.0201238i | \(0.993594\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.118546 | − | 3.40423i | −0.0206362 | − | 0.592601i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.77808 | + | 2.18207i | 0.807642 | + | 0.368838i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.61322 | −1.25161 | −0.625803 | − | 0.779981i | \(-0.715228\pi\) | ||||
−0.625803 | + | 0.779981i | \(0.715228\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.808036 | + | 0.268141i | −0.129389 | + | 0.0429369i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.191141 | + | 1.32941i | −0.0298512 | + | 0.207619i | −0.999288 | − | 0.0377203i | \(-0.987990\pi\) |
0.969437 | + | 0.245340i | \(0.0788995\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.41972 | − | 0.491681i | −0.521502 | − | 0.0749807i | −0.123463 | − | 0.992349i | \(-0.539400\pi\) |
−0.398039 | + | 0.917369i | \(0.630309\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 9.27070 | + | 2.03402i | 1.38199 | + | 0.303215i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.53234 | + | 2.06985i | −0.661110 | + | 0.301919i | −0.717570 | − | 0.696486i | \(-0.754746\pi\) |
0.0564606 | + | 0.998405i | \(0.482018\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.603899 | − | 4.20021i | −0.0862713 | − | 0.600030i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.41956 | + | 3.41850i | −0.198778 | + | 0.478686i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.353730 | − | 2.46024i | −0.0485885 | − | 0.337941i | −0.999587 | − | 0.0287444i | \(-0.990849\pi\) |
0.950998 | − | 0.309196i | \(-0.100060\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.23419 | + | 3.36381i | −0.705778 | + | 0.453576i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 10.3839 | − | 5.18623i | 1.37538 | − | 0.686934i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.69949 | − | 2.64446i | 0.221255 | − | 0.344280i | −0.712826 | − | 0.701341i | \(-0.752585\pi\) |
0.934081 | + | 0.357061i | \(0.116221\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.44051 | − | 8.31163i | 0.312476 | − | 1.06419i | −0.642197 | − | 0.766539i | \(-0.721977\pi\) |
0.954673 | − | 0.297656i | \(-0.0962047\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.73233 | + | 4.66995i | 0.218253 | + | 0.588358i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.17526 | + | 1.01837i | 0.145773 | + | 0.126313i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.02999 | + | 1.58723i | −0.981019 | + | 0.193911i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.95827 | + | 10.9096i | 0.235748 | + | 1.31336i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 15.3838 | − | 2.21185i | 1.82572 | − | 0.262499i | 0.857840 | − | 0.513917i | \(-0.171806\pi\) |
0.967878 | + | 0.251419i | \(0.0808971\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.08429 | + | 1.49288i | 0.595071 | + | 0.174729i | 0.565380 | − | 0.824830i | \(-0.308729\pi\) |
0.0296911 | + | 0.999559i | \(0.490548\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.73262 | − | 8.23470i | −0.315536 | − | 0.950861i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.97012 | − | 1.35641i | −0.338477 | − | 0.154577i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.14758 | − | 1.78567i | −0.129113 | − | 0.200904i | 0.770678 | − | 0.637225i | \(-0.219918\pi\) |
−0.899791 | + | 0.436321i | \(0.856281\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.83876 | + | 7.58857i | 0.537639 | + | 0.843175i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −2.84309 | − | 9.68269i | −0.312070 | − | 1.06281i | −0.954930 | − | 0.296830i | \(-0.904071\pi\) |
0.642860 | − | 0.765984i | \(-0.277748\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.69233 | − | 0.962212i | 0.725886 | − | 0.104367i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 15.2094 | + | 3.89641i | 1.63062 | + | 0.417739i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.82981 | + | 2.20570i | 0.511959 | + | 0.233804i | 0.654607 | − | 0.755970i | \(-0.272834\pi\) |
−0.142647 | + | 0.989774i | \(0.545562\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.116143 | + | 0.807790i | −0.0121751 | + | 0.0846794i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 7.31953 | + | 7.87579i | 0.759000 | + | 0.816681i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −17.8355 | − | 11.4622i | −1.82989 | − | 1.17600i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.2013i | 1.34039i | 0.742186 | + | 0.670194i | \(0.233789\pi\) | ||||
−0.742186 | + | 0.670194i | \(0.766211\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.76280 | − | 1.26438i | −0.579184 | − | 0.127075i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.61191 | − | 8.78461i | −0.757413 | − | 0.874102i | 0.237852 | − | 0.971302i | \(-0.423557\pi\) |
−0.995265 | + | 0.0971999i | \(0.969011\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.4173 | − | 7.33743i | −1.12498 | − | 0.722978i | −0.160471 | − | 0.987041i | \(-0.551301\pi\) |
−0.964506 | + | 0.264062i | \(0.914938\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.71505 | − | 7.07903i | 0.557732 | − | 0.690842i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.0498318 | + | 0.169712i | −0.00481742 | + | 0.0164066i | −0.961867 | − | 0.273519i | \(-0.911812\pi\) |
0.957049 | + | 0.289926i | \(0.0936306\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.55064 | − | 13.3050i | −0.819002 | − | 1.27439i | −0.958763 | − | 0.284207i | \(-0.908270\pi\) |
0.139761 | − | 0.990185i | \(-0.455367\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.27248 | + | 12.7740i | −0.310610 | + | 1.21245i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.48008 | − | 0.728216i | −0.233306 | − | 0.0685048i | 0.162990 | − | 0.986628i | \(-0.447886\pi\) |
−0.396296 | + | 0.918123i | \(0.629704\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 15.3007 | − | 13.2582i | 1.42680 | − | 1.23633i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.102576 | + | 1.47103i | 0.00948318 | + | 0.135997i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.32357 | + | 2.68154i | 0.213001 | + | 0.245817i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.00014 | + | 3.85606i | −0.545467 | + | 0.350551i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.14842 | + | 0.892147i | 0.193716 | + | 0.0804422i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.0191479 | + | 0.0220978i | −0.00171264 | + | 0.00197649i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.82859 | + | 10.1887i | −0.783411 | + | 0.904104i | −0.997351 | − | 0.0727426i | \(-0.976825\pi\) |
0.213940 | + | 0.976847i | \(0.431370\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.29491 | + | 5.52648i | −0.202056 | + | 0.486580i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.01060 | + | 2.74495i | −0.525149 | + | 0.239827i | −0.660306 | − | 0.750997i | \(-0.729573\pi\) |
0.135157 | + | 0.990824i | \(0.456846\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 11.1262i | − | 0.964761i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.39776 | − | 14.6807i | 0.636698 | − | 1.26351i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.98287 | + | 10.9110i | 0.425716 | + | 0.932187i | 0.994003 | + | 0.109357i | \(0.0348791\pi\) |
−0.568287 | + | 0.822830i | \(0.692394\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.49570 | − | 5.09389i | −0.126864 | − | 0.432058i | 0.871426 | − | 0.490528i | \(-0.163196\pi\) |
−0.998289 | + | 0.0584699i | \(0.981378\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.52474 | + | 8.49437i | 0.128406 | + | 0.715355i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.730558 | − | 0.633032i | −0.0610923 | − | 0.0529368i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.07966 | − | 27.5168i | −0.670980 | − | 2.28515i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −7.30697 | − | 0.792167i | −0.602669 | − | 0.0653368i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.69588 | + | 5.80202i | −0.548548 | + | 0.475320i | −0.884487 | − | 0.466564i | \(-0.845492\pi\) |
0.335939 | + | 0.941884i | \(0.390946\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.234723 | − | 1.63254i | 0.0191015 | − | 0.132854i | −0.978039 | − | 0.208421i | \(-0.933168\pi\) |
0.997141 | + | 0.0755670i | \(0.0240767\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.12560 | + | 3.85125i | 0.414380 | + | 0.311355i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.53302 | − | 18.8438i | 0.444423 | − | 1.51357i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.06444 | + | 6.71020i | 0.244569 | + | 0.535532i | 0.991613 | − | 0.129243i | \(-0.0412547\pi\) |
−0.747044 | + | 0.664775i | \(0.768527\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.28001 | − | 0.464006i | −0.339427 | − | 0.0367981i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.1944 | + | 2.99335i | 0.803432 | + | 0.235909i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −18.5314 | −1.45149 | −0.725745 | − | 0.687963i | \(-0.758505\pi\) | ||||
−0.725745 | + | 0.687963i | \(0.758505\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.39414 | + | 10.2282i | 0.264234 | + | 0.796262i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.789841 | + | 0.684402i | −0.0611198 | + | 0.0529606i | −0.684885 | − | 0.728651i | \(-0.740148\pi\) |
0.623765 | + | 0.781612i | \(0.285602\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.30003 | − | 11.6054i | 0.407694 | − | 0.892726i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.23838 | − | 19.6520i | −0.324117 | − | 1.50283i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.09001 | − | 7.92020i | 0.386986 | − | 0.602162i | −0.592037 | − | 0.805911i | \(-0.701676\pi\) |
0.979023 | + | 0.203749i | \(0.0653125\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.23219 | − | 1.18361i | −0.622295 | − | 0.0894726i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.70654 | − | 3.98823i | −0.278601 | − | 0.299773i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.21859 | + | 2.66834i | −0.0910818 | + | 0.199441i | −0.949690 | − | 0.313191i | \(-0.898602\pi\) |
0.858609 | + | 0.512632i | \(0.171329\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.89978 | + | 8.53932i | 0.289868 | + | 0.634723i | 0.997408 | − | 0.0719506i | \(-0.0229224\pi\) |
−0.707540 | + | 0.706673i | \(0.750195\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.8968 | − | 7.66755i | −0.953356 | − | 0.566801i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 23.1106 | − | 6.78587i | 1.69912 | − | 0.498907i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.16005 | + | 0.598125i | −0.304213 | + | 0.0437392i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 8.58018 | − | 0.899274i | 0.624116 | − | 0.0654126i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.522401 | + | 1.14390i | −0.0377996 | + | 0.0827696i | −0.927590 | − | 0.373600i | \(-0.878123\pi\) |
0.889790 | + | 0.456370i | \(0.150851\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.79049 | − | 1.79334i | −0.200864 | − | 0.129087i | 0.436342 | − | 0.899781i | \(-0.356274\pi\) |
−0.637206 | + | 0.770693i | \(0.719910\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.21386 | − | 1.53419i | 0.158538 | − | 0.109866i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.73971 | + | 19.0551i | 0.195197 | + | 1.35762i | 0.817989 | + | 0.575235i | \(0.195089\pi\) |
−0.622792 | + | 0.782388i | \(0.714002\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −15.6841 | + | 18.1004i | −1.11181 | + | 1.28310i | −0.156444 | + | 0.987687i | \(0.550003\pi\) |
−0.955369 | + | 0.295414i | \(0.904542\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.788472 | + | 14.1555i | −0.0556145 | + | 0.998452i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 9.85579 | − | 11.3742i | 0.691741 | − | 0.798311i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.604719 | − | 4.20592i | −0.0422354 | − | 0.293754i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 19.1466 | + | 1.40368i | 1.33078 | + | 0.0975627i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 11.0868 | + | 7.12507i | 0.766892 | + | 0.492851i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.24189 | − | 11.4781i | 0.360867 | − | 0.790188i | −0.638915 | − | 0.769278i | \(-0.720616\pi\) |
0.999781 | − | 0.0209101i | \(-0.00665639\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.90141 | − | 26.7627i | 0.198801 | − | 1.83375i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 10.8191 | − | 1.55555i | 0.737856 | − | 0.106088i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.88903 | − | 2.90368i | 0.671311 | − | 0.197115i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 4.69030 | − | 7.88906i | 0.316941 | − | 0.533093i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.436372 | + | 0.955522i | 0.0293536 | + | 0.0642754i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.49959 | + | 18.6115i | −0.569175 | + | 1.24632i | 0.378061 | + | 0.925781i | \(0.376591\pi\) |
−0.947236 | + | 0.320538i | \(0.896136\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.9913 | + | 1.04536i | −0.999422 | + | 0.0696904i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.499215 | − | 0.0717763i | −0.0331341 | − | 0.00476396i | 0.125728 | − | 0.992065i | \(-0.459873\pi\) |
−0.158862 | + | 0.987301i | \(0.550782\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.32943 | − | 14.5169i | 0.616506 | − | 0.959302i | −0.382864 | − | 0.923805i | \(-0.625062\pi\) |
0.999370 | − | 0.0354972i | \(-0.0113015\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.55256 | + | 4.40042i | −0.233741 | + | 0.289527i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3.47909 | − | 7.61814i | 0.227923 | − | 0.499081i | −0.760773 | − | 0.649018i | \(-0.775180\pi\) |
0.988696 | + | 0.149937i | \(0.0479072\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.9134 | − | 10.3230i | 0.777144 | − | 0.673399i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.48940 | + | 1.15793i | −0.226661 | + | 0.0752157i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −22.3180 | −1.44363 | −0.721814 | − | 0.692087i | \(-0.756692\pi\) | ||||
−0.721814 | + | 0.692087i | \(0.756692\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.56454 | + | 1.92752i | 0.422859 | + | 0.124163i | 0.486237 | − | 0.873827i | \(-0.338369\pi\) |
−0.0633779 | + | 0.997990i | \(0.520187\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 14.8125 | − | 4.85689i | 0.950223 | − | 0.311570i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 5.57695 | + | 12.2118i | 0.356298 | + | 0.780185i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.928005 | − | 3.16050i | 0.0590476 | − | 0.201098i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −17.4683 | + | 0.608302i | −1.10701 | + | 0.0385495i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.72705 | − | 12.0119i | 0.109010 | − | 0.758183i | −0.859845 | − | 0.510555i | \(-0.829440\pi\) |
0.968855 | − | 0.247628i | \(-0.0796509\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.51115 | + | 8.24146i | −0.597961 | + | 0.518136i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.26219 | − | 11.6424i | 0.0790411 | − | 0.729078i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 4.41723 | + | 15.0437i | 0.275539 | + | 0.938400i | 0.974715 | + | 0.223451i | \(0.0717322\pi\) |
−0.699176 | + | 0.714950i | \(0.746450\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.55285 | + | 8.27759i | 0.593585 | + | 0.514344i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 13.0753 | − | 23.8446i | 0.809342 | − | 1.47594i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.74550 | + | 19.5674i | 0.354282 | + | 1.20658i | 0.923245 | + | 0.384212i | \(0.125527\pi\) |
−0.568963 | + | 0.822363i | \(0.692655\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.26666 | + | 7.15299i | 0.200669 | + | 0.439405i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5.77693 | − | 7.15568i | 0.353543 | − | 0.437920i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 13.4572i | − | 0.820497i | −0.911974 | − | 0.410249i | \(-0.865442\pi\) | ||
0.911974 | − | 0.410249i | \(-0.134558\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 29.4231 | − | 13.4371i | 1.78733 | − | 0.816245i | 0.816168 | − | 0.577815i | \(-0.196095\pi\) |
0.971160 | − | 0.238430i | \(-0.0766326\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.30544 | + | 0.542094i | 0.0790089 | + | 0.0328090i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.45123 | − | 7.44512i | 0.389024 | − | 0.448958i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.6975 | − | 13.4996i | 0.702834 | − | 0.811114i | −0.286298 | − | 0.958141i | \(-0.592425\pi\) |
0.989133 | + | 0.147026i | \(0.0469702\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 16.3608 | − | 8.89585i | 0.979493 | − | 0.532580i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.2147 | − | 12.3486i | 1.14626 | − | 0.736654i | 0.177366 | − | 0.984145i | \(-0.443242\pi\) |
0.968890 | + | 0.247491i | \(0.0796061\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.67257 | − | 3.08431i | −0.158868 | − | 0.183343i | 0.670735 | − | 0.741697i | \(-0.265979\pi\) |
−0.829603 | + | 0.558354i | \(0.811433\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −26.8985 | + | 24.9987i | −1.59333 | + | 1.48080i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.68526 | − | 1.46029i | 0.0994779 | − | 0.0861981i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.9293 | − | 3.50275i | −0.701722 | − | 0.206044i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 22.1500 | + | 5.67448i | 1.29846 | + | 0.332644i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5.44028 | − | 8.46524i | −0.317825 | − | 0.494545i | 0.645180 | − | 0.764031i | \(-0.276782\pi\) |
−0.963004 | + | 0.269486i | \(0.913146\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.80187 | + | 9.54230i | −0.163131 | + | 0.555574i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.59856 | + | 9.12573i | −0.266835 | + | 0.529529i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.64615 | + | 1.70058i | 0.153031 | + | 0.0983471i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.75638 | + | 4.33509i | 0.216514 | + | 0.249870i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −18.0113 | + | 8.99577i | −1.03472 | + | 0.516793i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 27.4060i | 1.56926i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.2516 | − | 7.23094i | −0.642161 | − | 0.412692i | 0.178633 | − | 0.983916i | \(-0.442832\pi\) |
−0.820794 | + | 0.571224i | \(0.806469\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −17.2189 | + | 16.0027i | −0.979546 | + | 0.910362i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.74884 | + | 26.0738i | −0.212577 | + | 1.47851i | 0.551928 | + | 0.833892i | \(0.313892\pi\) |
−0.764506 | + | 0.644617i | \(0.777017\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.46340 | + | 3.86511i | 0.478380 | + | 0.218469i | 0.639986 | − | 0.768387i | \(-0.278940\pi\) |
−0.161606 | + | 0.986855i | \(0.551667\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −9.42109 | − | 12.6320i | −0.530818 | − | 0.711730i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −29.9478 | + | 4.30584i | −1.68203 | + | 0.241840i | −0.916063 | − | 0.401035i | \(-0.868651\pi\) |
−0.765971 | + | 0.642875i | \(0.777741\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.02244 | + | 17.1048i | 0.281202 | + | 0.957688i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.263334 | + | 0.156560i | 0.0146978 | + | 0.00873835i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −7.74261 | − | 12.0477i | −0.430811 | − | 0.670354i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.23971 | − | 1.02284i | −0.124237 | − | 0.0567371i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −25.9995 | + | 8.62775i | −1.43778 | + | 0.477116i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 7.93753 | + | 2.33067i | 0.437610 | + | 0.128494i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.4599 | + | 3.51681i | −1.34444 | + | 0.193301i | −0.776681 | − | 0.629894i | \(-0.783098\pi\) |
−0.567758 | + | 0.823195i | \(0.692189\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 20.0263 | + | 10.9816i | 1.09744 | + | 0.601787i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 22.9610 | − | 11.9755i | 1.25449 | − | 0.654293i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.09098 | − | 5.27786i | −0.331797 | − | 0.287503i | 0.472990 | − | 0.881068i | \(-0.343175\pi\) |
−0.804786 | + | 0.593565i | \(0.797720\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.28789 | + | 3.84822i | −0.124261 | + | 0.209007i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.43941 | + | 11.7135i | −0.186254 | + | 0.634324i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0924 | + | 15.7040i | −0.544937 | + | 0.847938i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −15.6685 | − | 31.3715i | −0.843564 | − | 1.68898i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −18.3774 | + | 11.8104i | −0.986551 | + | 0.634018i | −0.931223 | − | 0.364450i | \(-0.881257\pi\) |
−0.0553285 | + | 0.998468i | \(0.517621\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.30080 | + | 22.9575i | 0.176688 | + | 1.22889i | 0.864362 | + | 0.502870i | \(0.167723\pi\) |
−0.687674 | + | 0.726019i | \(0.741368\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.51229 | + | 0.460204i | 0.134096 | + | 0.0245639i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.36249 | − | 30.3418i | −0.232192 | − | 1.61493i | −0.688588 | − | 0.725152i | \(-0.741769\pi\) |
0.456397 | − | 0.889776i | \(-0.349140\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −44.7273 | + | 20.4263i | −2.37388 | + | 1.08411i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 5.49804 | − | 2.74600i | 0.290987 | − | 0.145334i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −32.0809 | − | 4.61254i | −1.69317 | − | 0.243441i | −0.772843 | − | 0.634597i | \(-0.781166\pi\) |
−0.920324 | + | 0.391156i | \(0.872075\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.68700 | + | 25.6436i | −0.194052 | + | 1.34966i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.89083 | + | 11.7249i | 0.204216 | + | 0.615399i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −16.7644 | −0.877491 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.5231 | + | 9.37259i | 1.07130 | + | 0.489245i | 0.871401 | − | 0.490571i | \(-0.163212\pi\) |
0.199897 | + | 0.979817i | \(0.435939\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.42038 | − | 3.22127i | 0.126000 | − | 0.167693i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.23109 | + | 3.47164i | −0.115832 | + | 0.180239i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 27.4560i | − | 1.42162i | −0.703386 | − | 0.710808i | \(-0.748330\pi\) | ||
0.703386 | − | 0.710808i | \(-0.251670\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.0288466 | + | 0.0416262i | 0.00148963 | + | 0.00214957i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.74833 | − | 2.40890i | 0.193049 | − | 0.124065i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.4741 | − | 11.1769i | 1.25715 | − | 0.574121i | 0.328298 | − | 0.944574i | \(-0.393525\pi\) |
0.928851 | + | 0.370454i | \(0.120798\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.3004 | + | 19.1927i | 0.681402 | + | 0.983274i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1.40639 | − | 1.62306i | −0.0718631 | − | 0.0829344i | 0.718680 | − | 0.695341i | \(-0.244747\pi\) |
−0.790543 | + | 0.612407i | \(0.790201\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.2251 | + | 1.47014i | 0.521117 | + | 0.0749254i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 8.28625 | + | 6.22608i | 0.421214 | + | 0.316489i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 13.8927 | + | 21.6175i | 0.704388 | + | 1.09605i | 0.990455 | + | 0.137839i | \(0.0440158\pi\) |
−0.286066 | + | 0.958210i | \(0.592348\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13.1219 | − | 3.85293i | 0.663601 | − | 0.194851i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.02205 | + | 11.2649i | 0.101999 | + | 0.568238i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.07520 | + | 4.39769i | 0.255361 | + | 0.221272i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.8203 | + | 5.52612i | −0.944561 | + | 0.277348i | −0.717521 | − | 0.696537i | \(-0.754723\pi\) |
−0.227041 | + | 0.973885i | \(0.572905\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −18.6682 | − | 4.78250i | −0.934580 | − | 0.239424i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −35.2908 | −1.76234 | −0.881169 | − | 0.472801i | \(-0.843243\pi\) | ||||
−0.881169 | + | 0.472801i | \(0.843243\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.05126 | 0.151994 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −21.4524 | − | 18.7228i | −1.06598 | − | 0.930345i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −14.3659 | + | 4.21820i | −0.712089 | + | 0.209088i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.4769 | + | 15.1438i | 0.864178 | + | 0.748815i | 0.969362 | − | 0.245638i | \(-0.0789975\pi\) |
−0.105183 | + | 0.994453i | \(0.533543\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 20.4490 | − | 3.67060i | 1.00867 | − | 0.181057i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.00771 | + | 1.47040i | −0.246413 | + | 0.0723535i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.2609 | + | 26.8585i | 0.847305 | + | 1.31843i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −9.18978 | + | 0.320016i | −0.450025 | + | 0.0156713i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.08530 | − | 0.443600i | −0.150727 | − | 0.0216713i | 0.0665382 | − | 0.997784i | \(-0.478805\pi\) |
−0.217265 | + | 0.976113i | \(0.569714\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.87434 | + | 6.77935i | 0.286298 | + | 0.330406i | 0.880621 | − | 0.473821i | \(-0.157126\pi\) |
−0.594323 | + | 0.804226i | \(0.702580\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 14.9078 | + | 1.09293i | 0.724843 | + | 0.0531401i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −9.73773 | + | 4.44707i | −0.472350 | + | 0.215715i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.0992 | + | 7.77571i | −0.585523 | + | 0.376293i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.37617 | + | 0.953674i | −0.0664420 | + | 0.0460438i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 9.40488i | − | 0.453017i | −0.974009 | − | 0.226508i | \(-0.927269\pi\) | ||
0.974009 | − | 0.226508i | \(-0.0727311\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.59786 | − | 13.3785i | 0.413187 | − | 0.642931i | −0.570817 | − | 0.821077i | \(-0.693374\pi\) |
0.984004 | + | 0.178146i | \(0.0570100\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −49.6425 | + | 1.72870i | −2.38018 | + | 0.0828851i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −39.0084 | − | 17.8145i | −1.86602 | − | 0.852184i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.0069 | 1.57533 | 0.787667 | − | 0.616101i | \(-0.211289\pi\) | ||||
0.787667 | + | 0.616101i | \(0.211289\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.47000 | + | 11.9196i | −0.212857 | + | 0.567601i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.12806 | + | 28.7113i | −0.196130 | + | 1.36411i | 0.619252 | + | 0.785192i | \(0.287436\pi\) |
−0.815382 | + | 0.578923i | \(0.803473\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.6273 | − | 2.39065i | −0.788210 | − | 0.113328i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 6.85683 | + | 13.7287i | 0.324317 | + | 0.649348i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.06841 | + | 2.31467i | −0.239193 | + | 0.109236i | −0.531405 | − | 0.847118i | \(-0.678336\pi\) |
0.292212 | + | 0.956353i | \(0.405609\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.375902 | + | 2.61446i | 0.0177005 | + | 0.123110i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.63829 | − | 1.09557i | −0.123957 | − | 0.0514743i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.367445 | − | 2.55564i | −0.0172261 | − | 0.119810i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 27.5754 | − | 17.7216i | 1.28992 | − | 0.828982i | 0.297844 | − | 0.954615i | \(-0.403732\pi\) |
0.992077 | + | 0.125633i | \(0.0400961\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 8.66508 | − | 6.94464i | 0.404451 | − | 0.324148i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.4093 | − | 16.1972i | 0.484810 | − | 0.754379i | −0.509549 | − | 0.860441i | \(-0.670188\pi\) |
0.994360 | + | 0.106062i | \(0.0338242\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.57771 | − | 12.1846i | 0.166270 | − | 0.566265i | −0.833632 | − | 0.552320i | \(-0.813743\pi\) |
0.999903 | − | 0.0139452i | \(-0.00443904\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −29.2390 | − | 17.3835i | −1.35592 | − | 0.806141i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −9.15972 | − | 7.93694i | −0.423861 | − | 0.367278i | 0.416654 | − | 0.909065i | \(-0.363203\pi\) |
−0.840516 | + | 0.541787i | \(0.817748\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.8015 | + | 6.73912i | 0.544944 | + | 0.311184i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 12.5760 | − | 2.25740i | 0.579473 | − | 0.104016i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −6.72530 | + | 0.966953i | −0.309230 | + | 0.0444605i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 32.2086 | + | 9.45731i | 1.47783 | + | 0.433931i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.61827 | + | 6.98184i | −0.119882 | + | 0.319676i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.5795 | − | 4.83151i | −0.483391 | − | 0.220757i | 0.158787 | − | 0.987313i | \(-0.449242\pi\) |
−0.642178 | + | 0.766556i | \(0.721969\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.02317 | + | 3.14811i | 0.0922485 | + | 0.143541i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 9.40443 | − | 15.8182i | 0.427916 | − | 0.719752i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −11.7667 | − | 40.0736i | −0.534298 | − | 1.81965i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.4795 | − | 2.80073i | 0.882702 | − | 0.126913i | 0.313967 | − | 0.949434i | \(-0.398342\pi\) |
0.568735 | + | 0.822521i | \(0.307433\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7.96558 | + | 31.0932i | −0.360216 | + | 1.40608i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.2953 | + | 6.07174i | 0.600006 | + | 0.274014i | 0.692175 | − | 0.721730i | \(-0.256653\pi\) |
−0.0921686 | + | 0.995743i | \(0.529380\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.75693 | − | 19.1749i | 0.124166 | − | 0.863593i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 18.6205 | − | 1.29842i | 0.836927 | − | 0.0583595i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −21.7080 | − | 13.9509i | −0.973737 | − | 0.625783i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 28.0049i | 1.25367i | 0.779152 | + | 0.626835i | \(0.215650\pi\) | ||||
−0.779152 | + | 0.626835i | \(0.784350\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.808827 | + | 1.61943i | 0.0361357 | + | 0.0723509i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 19.7335 | + | 22.7737i | 0.879874 | + | 1.01543i | 0.999744 | + | 0.0226388i | \(0.00720677\pi\) |
−0.119870 | + | 0.992790i | \(0.538248\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 30.9366 | + | 19.8817i | 1.37666 | + | 0.884725i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −17.1942 | − | 13.8812i | −0.763621 | − | 0.616488i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 9.53776 | − | 32.4826i | 0.422754 | − | 1.43977i | −0.422969 | − | 0.906144i | \(-0.639012\pi\) |
0.845723 | − | 0.533622i | \(-0.179170\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.75646 | − | 7.40120i | −0.210414 | − | 0.327410i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −34.7953 | − | 1.33584i | −1.53625 | − | 0.0589789i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 41.1981 | + | 12.0969i | 1.81541 | + | 0.533051i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.40553 | + | 6.41693i | −0.325695 | + | 0.282216i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −11.1011 | − | 11.9448i | −0.487286 | − | 0.524318i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1.50801 | + | 1.74034i | 0.0660672 | + | 0.0762457i | 0.787821 | − | 0.615904i | \(-0.211209\pi\) |
−0.721754 | + | 0.692150i | \(0.756664\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17.2890 | + | 11.1110i | −0.755994 | + | 0.485848i | −0.860988 | − | 0.508625i | \(-0.830154\pi\) |
0.104994 | + | 0.994473i | \(0.466518\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −5.52449 | + | 13.3038i | −0.241108 | + | 0.580624i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8.68749 | − | 10.0259i | 0.378433 | − | 0.436735i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.7555 | − | 13.5666i | 0.511111 | − | 0.589853i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −8.28494 | + | 4.50477i | −0.359536 | + | 0.195491i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.600515 | − | 0.274246i | 0.0260112 | − | 0.0118789i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 0.559590i | − | 0.0241932i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.95332 | + | 3.19160i | 0.170598 | + | 0.137728i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.46671 | − | 7.59105i | −0.149322 | − | 0.326969i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.57439 | + | 15.5790i | 0.196669 | + | 0.669792i | 0.997485 | + | 0.0708815i | \(0.0225812\pi\) |
−0.800816 | + | 0.598910i | \(0.795601\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 16.0041 | − | 2.87274i | 0.686803 | − | 0.123281i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 37.8153 | + | 32.7672i | 1.61983 | + | 1.40359i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.529705 | − | 1.80401i | −0.0226485 | − | 0.0771338i | 0.947393 | − | 0.320072i | \(-0.103707\pi\) |
−0.970042 | + | 0.242938i | \(0.921889\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −18.4087 | + | 18.3432i | −0.785664 | + | 0.782869i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −45.9084 | + | 39.7799i | −1.95576 | + | 1.69468i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.501547 | + | 3.48834i | −0.0213280 | + | 0.148339i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.45189 | − | 41.6933i | −0.0616293 | − | 1.76978i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 6.93447 | − | 23.6166i | 0.293823 | − | 1.00067i | −0.671802 | − | 0.740731i | \(-0.734479\pi\) |
0.965625 | − | 0.259939i | \(-0.0837024\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.705457 | + | 1.54473i | 0.0298376 | + | 0.0653353i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.784593 | + | 7.23711i | −0.0331255 | + | 0.305551i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 33.1018 | + | 9.71955i | 1.39507 | + | 0.409630i | 0.890989 | − | 0.454025i | \(-0.150012\pi\) |
0.504083 | + | 0.863655i | \(0.331830\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.17756 | 0.344033 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.17926 | − | 14.7829i | 0.0915204 | − | 0.620825i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 24.9932 | − | 21.6567i | 1.04777 | − | 0.907897i | 0.0518959 | − | 0.998653i | \(-0.483474\pi\) |
0.995873 | + | 0.0907554i | \(0.0289282\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.8373 | + | 32.4892i | −0.620922 | + | 1.35963i | 0.293925 | + | 0.955828i | \(0.405038\pi\) |
−0.914847 | + | 0.403800i | \(0.867689\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.69476 | + | 1.36821i | 0.0707995 | + | 0.0571580i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −17.3306 | + | 26.9670i | −0.722737 | + | 1.12460i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.17105 | + | 1.31860i | 0.381796 | + | 0.0548940i | 0.330541 | − | 0.943792i | \(-0.392769\pi\) |
0.0512549 | + | 0.998686i | \(0.483678\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −4.20846 | + | 3.91122i | −0.174898 | + | 0.162545i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.96022 | + | 15.2408i | −0.288759 | + | 0.632294i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.03060 | − | 4.44640i | −0.0840991 | − | 0.184151i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.62255 | − | 4.37402i | −0.0670843 | − | 0.180843i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −16.8520 | + | 4.94820i | −0.695557 | + | 0.204234i | −0.610353 | − | 0.792130i | \(-0.708972\pi\) |
−0.0852039 | + | 0.996364i | \(0.527154\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −41.1756 | + | 5.92016i | −1.69661 | + | 0.243936i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 33.1496 | + | 3.59383i | 1.36359 | + | 0.147830i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 1.40647 | − | 3.07974i | 0.0577569 | − | 0.126470i | −0.878553 | − | 0.477645i | \(-0.841491\pi\) |
0.936310 | + | 0.351175i | \(0.114218\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.44353 | − | 6.06899i | −0.387147 | − | 0.248804i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 23.6283 | + | 34.0961i | 0.967043 | + | 1.39546i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1.19705 | + | 8.32568i | 0.0489102 | + | 0.340178i | 0.999553 | + | 0.0298910i | \(0.00951603\pi\) |
−0.950643 | + | 0.310287i | \(0.899575\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.82435 | − | 7.87571i | 0.278371 | − | 0.321257i | −0.599297 | − | 0.800527i | \(-0.704553\pi\) |
0.877668 | + | 0.479270i | \(0.159098\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 23.4121 | + | 7.40759i | 0.953415 | + | 0.301660i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 14.7769 | − | 17.0535i | 0.600768 | − | 0.693323i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.16796 | + | 22.0337i | 0.128584 | + | 0.894319i | 0.947352 | + | 0.320194i | \(0.103748\pi\) |
−0.818768 | + | 0.574124i | \(0.805343\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −14.8479 | − | 21.4258i | −0.601668 | − | 0.868217i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.06034 | + | 1.32410i | 0.0833523 | + | 0.0535673i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.49055 | + | 9.83293i | −0.181372 | + | 0.397148i | −0.978379 | − | 0.206822i | \(-0.933688\pi\) |
0.797007 | + | 0.603970i | \(0.206415\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −7.31690 | − | 0.793243i | −0.295046 | − | 0.0319866i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 26.6415 | − | 3.83047i | 1.07255 | − | 0.154209i | 0.416655 | − | 0.909065i | \(-0.363202\pi\) |
0.655891 | + | 0.754856i | \(0.272293\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.5222 | − | 3.08959i | 0.422922 | − | 0.124181i | −0.0633442 | − | 0.997992i | \(-0.520177\pi\) |
0.486266 | + | 0.873811i | \(0.338358\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 10.5852 | − | 31.5220i | 0.424769 | − | 1.26493i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −3.66213 | − | 8.01894i | −0.146720 | − | 0.321272i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.3661 | + | 22.6987i | −0.414646 | + | 0.907948i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 16.7205 | − | 15.5396i | 0.667753 | − | 0.620590i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 16.1044 | + | 2.31547i | 0.642126 | + | 0.0923237i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.61806 | − | 5.62981i | 0.144033 | − | 0.224119i | −0.761740 | − | 0.647882i | \(-0.775655\pi\) |
0.905773 | + | 0.423763i | \(0.139291\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −17.0056 | − | 13.7290i | −0.675912 | − | 0.545678i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 17.7184 | − | 38.7979i | 0.703134 | − | 1.53965i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.57633 | + | 1.36590i | −0.0624564 | + | 0.0541188i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −43.6570 | − | 16.3719i | −1.72705 | − | 0.647662i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −38.4911 | −1.52031 | −0.760153 | − | 0.649744i | \(-0.774876\pi\) | ||||
−0.760153 | + | 0.649744i | \(0.774876\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −17.8153 | − | 5.23103i | −0.702565 | − | 0.206292i | −0.0891106 | − | 0.996022i | \(-0.528402\pi\) |
−0.613455 | + | 0.789730i | \(0.710221\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2.04050 | − | 18.8216i | 0.0803445 | − | 0.741101i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 6.81847 | + | 14.9304i | 0.268062 | + | 0.586973i | 0.995016 | − | 0.0997123i | \(-0.0317923\pi\) |
−0.726955 | + | 0.686685i | \(0.759065\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.74168 | − | 5.93163i | 0.0683671 | − | 0.232837i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.621264 | − | 17.8406i | −0.0243493 | − | 0.699228i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.92846 | − | 20.3679i | 0.114599 | − | 0.797056i | −0.848748 | − | 0.528798i | \(-0.822643\pi\) |
0.963347 | − | 0.268258i | \(-0.0864480\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 15.7990 | − | 13.6899i | 0.617320 | − | 0.534911i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −11.2207 | − | 11.2608i | −0.437761 | − | 0.439324i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.65218 | + | 26.0609i | 0.298087 | + | 1.01519i | 0.963276 | + | 0.268515i | \(0.0865328\pi\) |
−0.665189 | + | 0.746675i | \(0.731649\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.502433 | − | 0.435361i | −0.0195424 | − | 0.0169336i | 0.645035 | − | 0.764153i | \(-0.276843\pi\) |
−0.664577 | + | 0.747220i | \(0.731388\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.79081 | − | 0.321451i | 0.0695493 | − | 0.0124841i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 9.91706 | + | 33.7744i | 0.384567 | + | 1.30972i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −24.0975 | − | 52.7661i | −0.933057 | − | 2.04311i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 27.5741 | + | 22.2612i | 1.06608 | + | 0.860667i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 17.0359i | − | 0.657665i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.8441 | + | 11.8026i | −0.996218 | + | 0.454958i | −0.845705 | − | 0.533650i | \(-0.820820\pi\) |
−0.150513 | + | 0.988608i | \(0.548093\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.68994 | + | 25.6028i | −0.180516 | + | 0.985451i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 16.5731 | − | 19.1264i | 0.636956 | − | 0.735086i | −0.341878 | − | 0.939744i | \(-0.611063\pi\) |
0.978834 | + | 0.204658i | \(0.0656083\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.3533 | − | 16.5646i | 0.550830 | − | 0.635691i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.335015 | + | 0.806763i | −0.0128378 | + | 0.0309152i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 8.34714 | − | 5.36438i | 0.319395 | − | 0.205262i | −0.371113 | − | 0.928588i | \(-0.621024\pi\) |
0.690507 | + | 0.723325i | \(0.257387\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −24.8512 | − | 28.6798i | −0.949515 | − | 1.09580i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −20.3472 | − | 21.8935i | −0.776294 | − | 0.835289i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.923324 | + | 0.800065i | −0.0351758 | + | 0.0304800i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 34.4370 | + | 10.1116i | 1.31005 | + | 0.384664i | 0.860891 | − | 0.508789i | \(-0.169907\pi\) |
0.449156 | + | 0.893454i | \(0.351725\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 5.85629 | + | 7.85221i | 0.222462 | + | 0.298281i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 9.08065 | + | 14.1298i | 0.344449 | + | 0.535973i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.808649 | − | 2.75401i | 0.0306298 | − | 0.104315i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.2868 | − | 9.11204i | −0.426904 | − | 0.344649i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 16.4770 | + | 10.5891i | 0.622329 | + | 0.399946i | 0.813462 | − | 0.581618i | \(-0.197580\pi\) |
−0.191134 | + | 0.981564i | \(0.561216\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −33.4099 | − | 38.5571i | −1.26008 | − | 1.45421i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −12.1997 | − | 24.4263i | −0.459469 | − | 0.919949i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 19.2989i | 0.725808i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.83525 | − | 1.17944i | −0.0689242 | − | 0.0442949i | 0.505725 | − | 0.862695i | \(-0.331225\pi\) |
−0.574649 | + | 0.818400i | \(0.694861\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.442963 | + | 6.35247i | 0.0166124 | + | 0.238236i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 5.65338 | − | 39.3202i | 0.211721 | − | 1.47255i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.78191 | + | 1.27046i | 0.104037 | + | 0.0475123i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −9.59320 | + | 37.4465i | −0.358265 | + | 1.39847i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −38.6622 | + | 5.55878i | −1.44186 | + | 0.207308i | −0.818444 | − | 0.574586i | \(-0.805163\pi\) |
−0.623412 | + | 0.781893i | \(0.714254\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.34832 | + | 21.6204i | 0.236424 | + | 0.805186i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.05584 | − | 10.1859i | 0.225219 | − | 0.378817i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 24.5492 | + | 38.1992i | 0.911733 | + | 1.41868i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.1464 | + | 14.6808i | 1.19224 | + | 0.544480i | 0.909898 | − | 0.414833i | \(-0.136160\pi\) |
0.282346 | + | 0.959313i | \(0.408887\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.78217 | − | 26.9411i | −0.0660064 | − | 0.997819i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.08427 | + | 2.08013i | 0.262021 | + | 0.0769364i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 38.3382 | − | 5.51219i | 1.41605 | − | 0.203598i | 0.608575 | − | 0.793496i | \(-0.291742\pi\) |
0.807477 | + | 0.589899i | \(0.200832\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 22.8870 | − | 4.10822i | 0.844200 | − | 0.151534i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −14.2729 | + | 7.44416i | −0.525748 | + | 0.274209i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −29.6209 | − | 25.6666i | −1.08962 | − | 0.944162i | −0.0909584 | − | 0.995855i | \(-0.528993\pi\) |
−0.998663 | + | 0.0516923i | \(0.983538\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.90399 | − | 2.91558i | −0.180153 | − | 0.107107i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.52119 | − | 5.18069i | 0.0558070 | − | 0.190061i | −0.926872 | − | 0.375378i | \(-0.877513\pi\) |
0.982679 | + | 0.185317i | \(0.0593311\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.1544 | − | 23.5807i | 0.555215 | − | 0.863931i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −6.48799 | + | 29.5710i | −0.237383 | + | 1.08195i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.247049 | − | 0.158769i | 0.00902698 | − | 0.00580129i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.94020 | + | 13.4944i | 0.0707988 | + | 0.492416i | 0.994111 | + | 0.108366i | \(0.0345619\pi\) |
−0.923312 | + | 0.384050i | \(0.874529\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −19.4120 | − | 8.06096i | −0.707411 | − | 0.293758i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.742604 | + | 5.16492i | 0.0270261 | + | 0.187971i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.7166 | + | 11.7444i | −0.934685 | + | 0.426857i | −0.823739 | − | 0.566970i | \(-0.808116\pi\) |
−0.110947 | + | 0.993826i | \(0.535388\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 9.73977 | + | 19.5010i | 0.353531 | + | 0.707840i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 23.0095 | + | 3.30826i | 0.834093 | + | 0.119924i | 0.546113 | − | 0.837712i | \(-0.316107\pi\) |
0.287980 | + | 0.957636i | \(0.407016\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.73703 | + | 25.9916i | −0.135290 | + | 0.940959i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −18.9919 | − | 7.12219i | −0.686654 | − | 0.257503i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.54513 | −0.0557915 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 27.0155 | + | 12.3376i | 0.974203 | + | 0.444904i | 0.837936 | − | 0.545769i | \(-0.183762\pi\) |
0.136267 | + | 0.990672i | \(0.456490\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 27.1400 | − | 0.945100i | 0.977424 | − | 0.0340369i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 20.4015 | − | 31.7453i | 0.733791 | − | 1.14180i | −0.250988 | − | 0.967990i | \(-0.580756\pi\) |
0.984779 | − | 0.173811i | \(-0.0556080\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 31.0955i | 1.11698i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 17.9949 | − | 12.4703i | 0.645564 | − | 0.447371i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −7.57162 | + | 4.86598i | −0.271281 | + | 0.174342i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 27.8031 | − | 12.6973i | 0.994874 | − | 0.454344i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −34.3876 | − | 32.1880i | −1.22891 | − | 1.15031i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −15.2834 | − | 17.6379i | −0.545487 | − | 0.629525i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.4159 | + | 2.93537i | 0.727750 | + | 0.104635i | 0.496224 | − | 0.868194i | \(-0.334719\pi\) |
0.231525 | + | 0.972829i | \(0.425628\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 35.3011 | − | 1.22929i | 1.25675 | − | 0.0437640i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.32017 | + | 3.61025i | 0.0824956 | + | 0.128366i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.08546 | + | 1.19960i | −0.145079 | + | 0.0425990i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 13.4059 | − | 2.40636i | 0.475459 | − | 0.0853449i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −4.80838 | − | 4.16648i | −0.170321 | − | 0.147584i | 0.565529 | − | 0.824728i | \(-0.308672\pi\) |
−0.735851 | + | 0.677144i | \(0.763217\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.2169 | − | 2.99995i | 0.361448 | − | 0.106131i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.52310 | − | 12.7687i | −0.336482 | − | 0.451161i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 10.4210 | 0.367750 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −33.6140 | −1.18474 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −22.5793 | − | 5.78445i | −0.794829 | − | 0.203622i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −35.2824 | + | 10.3599i | −1.24046 | + | 0.364233i | −0.835190 | − | 0.549962i | \(-0.814642\pi\) |
−0.405275 | + | 0.914195i | \(0.632824\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −23.6978 | − | 20.5343i | −0.832142 | − | 0.721055i | 0.130612 | − | 0.991434i | \(-0.458306\pi\) |
−0.962754 | + | 0.270378i | \(0.912851\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −9.89833 | − | 55.1439i | −0.347150 | − | 1.93398i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 56.2536 | − | 16.5176i | 1.97048 | − | 0.578585i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −12.5170 | − | 19.4769i | −0.437915 | − | 0.681409i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.47070 | − | 1.95734i | 0.0513903 | − | 0.0683950i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −38.5856 | − | 5.54777i | −1.34665 | − | 0.193618i | −0.569008 | − | 0.822332i | \(-0.692673\pi\) |
−0.777637 | + | 0.628713i | \(0.783582\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.3803 | − | 23.5201i | −0.710412 | − | 0.819860i | 0.279707 | − | 0.960085i | \(-0.409763\pi\) |
−0.990120 | + | 0.140226i | \(0.955217\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −9.71890 | − | 14.0245i | −0.338369 | − | 0.488272i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 23.5792 | − | 10.7682i | 0.819928 | − | 0.374449i | 0.0391316 | − | 0.999234i | \(-0.487541\pi\) |
0.780796 | + | 0.624785i | \(0.214814\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 42.3710 | − | 27.2302i | 1.47161 | − | 0.945744i | 0.473726 | − | 0.880672i | \(-0.342909\pi\) |
0.997881 | − | 0.0650718i | \(-0.0207276\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −17.6225 | − | 25.4295i | −0.611318 | − | 0.882141i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 9.06848i | 0.314204i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.78760 | − | 2.78157i | 0.0618626 | − | 0.0962601i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −7.89349 | − | 31.2750i | −0.272839 | − | 1.08102i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 5.17316 | + | 2.36250i | 0.178597 | + | 0.0815626i | 0.502707 | − | 0.864457i | \(-0.332337\pi\) |
−0.324110 | + | 0.946019i | \(0.605065\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −53.1696 | −1.83343 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −12.4599 | − | 37.5477i | −0.429143 | − | 1.29321i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −5.74443 | + | 39.9534i | −0.197614 | + | 1.37444i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.7214 | + | 1.68528i | 0.402751 | + | 0.0579068i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.32384 | + | 3.15845i | −0.217034 | + | 0.108398i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 44.3167 | − | 20.2388i | 1.51916 | − | 0.693776i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.34641 | − | 37.1851i | −0.183058 | − | 1.27319i | −0.849481 | − | 0.527620i | \(-0.823085\pi\) |
0.666423 | − | 0.745574i | \(-0.267825\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 30.3824 | + | 55.8776i | 1.03905 | + | 1.91097i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1.31686 | + | 9.15896i | 0.0449831 | + | 0.312864i | 0.999873 | + | 0.0159057i | \(0.00506315\pi\) |
−0.954890 | + | 0.296958i | \(0.904028\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.3383 | + | 7.28670i | −0.386858 | + | 0.248619i | −0.719585 | − | 0.694405i | \(-0.755668\pi\) |
0.332726 | + | 0.943023i | \(0.392031\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.72577 | − | 3.45534i | −0.0588142 | − | 0.117758i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 18.7742 | − | 29.2133i | 0.639082 | − | 0.994431i | −0.359049 | − | 0.933319i | \(-0.616899\pi\) |
0.998131 | − | 0.0611122i | \(-0.0194647\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −8.39164 | + | 28.5793i | −0.285324 | + | 0.971726i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11.0049 | + | 18.5101i | −0.373745 | + | 0.628636i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.15482 | − | 2.73367i | −0.107020 | − | 0.0927333i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.79025 | + | 2.89865i | 0.0945440 | + | 0.0982170i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 19.0420 | − | 34.7256i | 0.644475 | − | 1.17528i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.0480524 | − | 0.00690890i | 0.00162447 | − | 0.000233563i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.7737 | − | 4.63157i | −0.532639 | − | 0.156397i | 0.00434291 | − | 0.999991i | \(-0.498618\pi\) |
−0.536982 | + | 0.843594i | \(0.680436\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −16.5420 | + | 5.48934i | −0.557948 | + | 0.185151i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −47.5745 | − | 21.7265i | −1.60282 | − | 0.731986i | −0.604896 | − | 0.796305i | \(-0.706785\pi\) |
−0.997929 | + | 0.0643192i | \(0.979512\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.53273 | + | 5.49704i | 0.118886 | + | 0.184990i | 0.895596 | − | 0.444868i | \(-0.146749\pi\) |
−0.776710 | + | 0.629858i | \(0.783113\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 14.8063 | + | 8.80285i | 0.497710 | + | 0.295905i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.77935 | + | 12.8713i | 0.126898 | + | 0.432176i | 0.998293 | − | 0.0584071i | \(-0.0186022\pi\) |
−0.871395 | + | 0.490583i | \(0.836784\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 22.1557 | − | 3.18551i | 0.743079 | − | 0.106839i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 13.3351 | + | 11.6384i | 0.446743 | + | 0.389901i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −30.3725 | − | 13.8707i | −1.01638 | − | 0.464164i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.32077 | − | 9.18614i | 0.0441484 | − | 0.307059i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.99078 | − | 3.70891i | 0.133248 | − | 0.123837i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −47.3377 | − | 30.4221i | −1.57880 | − | 1.01463i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.31180i | 0.176962i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 8.88835 | − | 4.43929i | 0.295786 | − | 0.147730i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −19.4494 | − | 22.4459i | −0.646521 | − | 0.746125i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.5379 | + | 8.05759i | 0.416313 | + | 0.267548i | 0.731985 | − | 0.681320i | \(-0.238594\pi\) |
−0.315673 | + | 0.948868i | \(0.602230\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 7.35167 | + | 34.0874i | 0.243839 | + | 1.13061i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.82720 | + | 19.8456i | −0.193064 | + | 0.657515i | 0.804881 | + | 0.593436i | \(0.202229\pi\) |
−0.997945 | + | 0.0640789i | \(0.979589\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.7296 | − | 16.6956i | −0.355099 | − | 0.552545i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 45.9835 | + | 11.7802i | 1.52017 | + | 0.389443i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 10.5264 | + | 3.09084i | 0.347613 | + | 0.102068i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.75998 | + | 1.52503i | −0.0580563 | + | 0.0503060i | −0.683406 | − | 0.730039i | \(-0.739502\pi\) |
0.625349 | + | 0.780345i | \(0.284956\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −16.9690 | + | 15.7705i | −0.559146 | + | 0.519654i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −5.00276 | − | 5.77350i | −0.164668 | − | 0.190037i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −32.0824 | + | 20.6181i | −1.05486 | + | 0.677920i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 19.4490 | + | 35.7696i | 0.638789 | + | 1.17483i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 11.6187 | − | 13.4087i | 0.381197 | − | 0.439925i | −0.532433 | − | 0.846472i | \(-0.678722\pi\) |
0.913630 | + | 0.406548i | \(0.133267\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 18.6218 | − | 21.4907i | 0.610305 | − | 0.704329i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 42.1369 | + | 17.4977i | 1.37950 | + | 0.572848i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 12.0951 | − | 5.52363i | 0.395551 | − | 0.180642i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 10.8302i | 0.353808i | 0.984228 | + | 0.176904i | \(0.0566082\pi\) | ||||
−0.984228 | + | 0.176904i | \(0.943392\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.1231 | − | 12.5391i | 0.330354 | − | 0.409197i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 21.5369 | + | 47.1593i | 0.702083 | + | 1.53735i | 0.837427 | + | 0.546549i | \(0.184059\pi\) |
−0.135344 | + | 0.990799i | \(0.543214\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.42144 | − | 8.24666i | −0.0788529 | − | 0.268548i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −25.2443 | + | 10.3776i | −0.821198 | + | 0.337583i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 19.8133 | + | 17.1683i | 0.643845 | + | 0.557895i | 0.914401 | − | 0.404809i | \(-0.132662\pi\) |
−0.270556 | + | 0.962704i | \(0.587207\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.733805 | − | 2.49911i | −0.0238203 | − | 0.0811245i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −5.64820 | + | 52.0992i | −0.183155 | + | 1.68943i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −39.9486 | + | 34.6157i | −1.29406 | + | 1.12131i | −0.308641 | + | 0.951179i | \(0.599874\pi\) |
−0.985421 | + | 0.170132i | \(0.945581\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.566203 | − | 3.93803i | 0.0183219 | − | 0.127432i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 30.8585 | − | 1.07459i | 0.997514 | − | 0.0347365i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 5.61076 | − | 19.1085i | 0.181181 | − | 0.617045i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.12995 | − | 6.85364i | −0.100966 | − | 0.221085i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.375879 | − | 0.374542i | 0.0121125 | − | 0.0120695i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 10.0692 | + | 2.95659i | 0.324140 | + | 0.0951761i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.5661 | −0.693519 | −0.346760 | − | 0.937954i | \(-0.612718\pi\) | ||||
−0.346760 | + | 0.937954i | \(0.612718\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −23.5426 | + | 7.81244i | −0.756297 | + | 0.250972i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −5.62422 | + | 4.87341i | −0.180490 | + | 0.156395i | −0.740420 | − | 0.672145i | \(-0.765373\pi\) |
0.559930 | + | 0.828540i | \(0.310828\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.66165 | + | 8.01789i | −0.117387 | + | 0.257042i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.67892 | + | 3.31828i | −0.0857940 | + | 0.106270i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −33.2762 | + | 51.7787i | −1.06460 | + | 1.65655i | −0.385095 | + | 0.922877i | \(0.625831\pi\) |
−0.679504 | + | 0.733672i | \(0.737805\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 10.3358 | + | 1.48606i | 0.330333 | + | 0.0474947i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.30051 | + | 47.3323i | 0.105377 | + | 1.51120i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 16.6720 | − | 36.5065i | 0.531754 | − | 1.16438i | −0.433041 | − | 0.901374i | \(-0.642560\pi\) |
0.964795 | − | 0.263004i | \(-0.0847132\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −25.3010 | − | 55.4015i | −0.806157 | − | 1.76524i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 7.32244 | − | 12.3163i | 0.233076 | − | 0.392032i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 21.2133 | − | 6.22879i | 0.674544 | − | 0.198064i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 29.9842 | − | 4.31108i | 0.952481 | − | 0.136946i | 0.351481 | − | 0.936195i | \(-0.385678\pi\) |
0.601000 | + | 0.799249i | \(0.294769\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −4.61318 | + | 42.5522i | −0.146395 | + | 1.35035i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 31.4769 | − | 68.9249i | 0.997886 | − | 2.18506i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 31.4100 | + | 20.1860i | 0.994764 | + | 0.639296i | 0.933407 | − | 0.358820i | \(-0.116821\pi\) |
0.0613569 | + | 0.998116i | \(0.480457\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 27.0338 | − | 28.8812i | 0.855311 | − | 0.913760i |
(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 | 804.2.s.b.5.13 | ✓ | 200 | |
3.2 | odd | 2 | inner | 804.2.s.b.5.18 | yes | 200 | |
67.27 | odd | 22 | inner | 804.2.s.b.161.18 | yes | 200 | |
201.161 | even | 22 | inner | 804.2.s.b.161.13 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.s.b.5.13 | ✓ | 200 | 1.1 | even | 1 | trivial | |
804.2.s.b.5.18 | yes | 200 | 3.2 | odd | 2 | inner | |
804.2.s.b.161.13 | yes | 200 | 201.161 | even | 22 | inner | |
804.2.s.b.161.18 | yes | 200 | 67.27 | odd | 22 | inner |