Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(53,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 2, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.x (of order \(4\), degree \(2\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 53.22 | ||
Character | \(\chi\) | \(=\) | 360.53 |
Dual form | 360.2.x.a.197.22 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.33270 | − | 0.473189i | 0.942362 | − | 0.334595i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.55218 | − | 1.26124i | 0.776092 | − | 0.630619i | ||||
\(5\) | −1.45381 | − | 1.69895i | −0.650165 | − | 0.759793i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.53029 | − | 1.53029i | 0.578394 | − | 0.578394i | −0.356066 | − | 0.934461i | \(-0.615882\pi\) |
0.934461 | + | 0.356066i | \(0.115882\pi\) | |||||||
\(8\) | 1.47179 | − | 2.41533i | 0.520358 | − | 0.853948i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.74142 | − | 1.57626i | −0.866914 | − | 0.498458i | ||||
\(11\) | −2.72480 | −0.821559 | −0.410779 | − | 0.911735i | \(-0.634743\pi\) | ||||
−0.410779 | + | 0.911735i | \(0.634743\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.857617 | + | 0.857617i | −0.237860 | + | 0.237860i | −0.815964 | − | 0.578103i | \(-0.803793\pi\) |
0.578103 | + | 0.815964i | \(0.303793\pi\) | |||||||
\(14\) | 1.31530 | − | 2.76353i | 0.351529 | − | 0.738585i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.818554 | − | 3.91535i | 0.204638 | − | 0.978838i | ||||
\(17\) | 2.55531 | + | 2.55531i | 0.619753 | + | 0.619753i | 0.945468 | − | 0.325715i | \(-0.105605\pi\) |
−0.325715 | + | 0.945468i | \(0.605605\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.54160 | 0.812500 | 0.406250 | − | 0.913762i | \(-0.366836\pi\) | ||||
0.406250 | + | 0.913762i | \(0.366836\pi\) | |||||||
\(20\) | −4.39937 | − | 0.803474i | −0.983728 | − | 0.179662i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.63135 | + | 1.28935i | −0.774206 | + | 0.274889i | ||||
\(23\) | −0.626051 | + | 0.626051i | −0.130541 | + | 0.130541i | −0.769358 | − | 0.638818i | \(-0.779424\pi\) |
0.638818 | + | 0.769358i | \(0.279424\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.772849 | + | 4.93991i | −0.154570 | + | 0.987982i | ||||
\(26\) | −0.737133 | + | 1.54876i | −0.144564 | + | 0.303737i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.445231 | − | 4.30535i | 0.0841407 | − | 0.813634i | ||||
\(29\) | − | 5.12260i | − | 0.951243i | −0.879650 | − | 0.475622i | \(-0.842223\pi\) | ||
0.879650 | − | 0.475622i | \(-0.157777\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.89544 | 1.41806 | 0.709031 | − | 0.705177i | \(-0.249132\pi\) | ||||
0.709031 | + | 0.705177i | \(0.249132\pi\) | |||||||
\(32\) | −0.761813 | − | 5.60532i | −0.134671 | − | 0.990890i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.61460 | + | 2.19632i | 0.791398 | + | 0.376665i | ||||
\(35\) | −4.82463 | − | 0.375125i | −0.815512 | − | 0.0634078i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.21539 | + | 4.21539i | 0.693005 | + | 0.693005i | 0.962892 | − | 0.269887i | \(-0.0869863\pi\) |
−0.269887 | + | 0.962892i | \(0.586986\pi\) | |||||||
\(38\) | 4.71990 | − | 1.67585i | 0.765669 | − | 0.271858i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.24324 | + | 1.01094i | −0.987142 | + | 0.159844i | ||||
\(41\) | 12.4074i | 1.93771i | 0.247638 | + | 0.968853i | \(0.420346\pi\) | ||||
−0.247638 | + | 0.968853i | \(0.579654\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.67823 | + | 5.67823i | −0.865922 | + | 0.865922i | −0.992018 | − | 0.126096i | \(-0.959755\pi\) |
0.126096 | + | 0.992018i | \(0.459755\pi\) | |||||||
\(44\) | −4.22940 | + | 3.43663i | −0.637605 | + | 0.518091i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.538098 | + | 1.13058i | −0.0793383 | + | 0.166695i | ||||
\(47\) | −9.45505 | − | 9.45505i | −1.37916 | − | 1.37916i | −0.846037 | − | 0.533124i | \(-0.821018\pi\) |
−0.533124 | − | 0.846037i | \(-0.678982\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.31644i | 0.330920i | ||||||||
\(50\) | 1.30753 | + | 6.94913i | 0.184913 | + | 0.982755i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.249520 | + | 2.41284i | −0.0346022 | + | 0.334601i | ||||
\(53\) | 6.46657 | + | 6.46657i | 0.888252 | + | 0.888252i | 0.994355 | − | 0.106103i | \(-0.0338373\pi\) |
−0.106103 | + | 0.994355i | \(0.533837\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.96136 | + | 4.62930i | 0.534149 | + | 0.624214i | ||||
\(56\) | −1.44388 | − | 5.94842i | −0.192947 | − | 0.794891i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.42396 | − | 6.82690i | −0.318281 | − | 0.896416i | ||||
\(59\) | 2.51407i | 0.327304i | 0.986518 | + | 0.163652i | \(0.0523274\pi\) | ||||
−0.986518 | + | 0.163652i | \(0.947673\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.49179i | 1.21530i | 0.794205 | + | 0.607649i | \(0.207887\pi\) | ||||
−0.794205 | + | 0.607649i | \(0.792113\pi\) | |||||||
\(62\) | 10.5223 | − | 3.73603i | 1.33633 | − | 0.474477i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.66765 | − | 7.10974i | −0.458456 | − | 0.888717i | ||||
\(65\) | 2.70386 | + | 0.210231i | 0.335373 | + | 0.0260760i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.91318 | − | 9.91318i | −1.21109 | − | 1.21109i | −0.970669 | − | 0.240418i | \(-0.922715\pi\) |
−0.240418 | − | 0.970669i | \(-0.577285\pi\) | |||||||
\(68\) | 7.18916 | + | 0.743456i | 0.871814 | + | 0.0901573i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.60730 | + | 1.78303i | −0.789723 | + | 0.213113i | ||||
\(71\) | 2.19671i | 0.260702i | 0.991468 | + | 0.130351i | \(0.0416104\pi\) | ||||
−0.991468 | + | 0.130351i | \(0.958390\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.71276 | − | 5.71276i | −0.668628 | − | 0.668628i | 0.288771 | − | 0.957398i | \(-0.406754\pi\) |
−0.957398 | + | 0.288771i | \(0.906754\pi\) | |||||||
\(74\) | 7.61252 | + | 3.62318i | 0.884938 | + | 0.421186i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.49722 | − | 4.46681i | 0.630575 | − | 0.512378i | ||||
\(77\) | −4.16973 | + | 4.16973i | −0.475185 | + | 0.475185i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 12.7576i | − | 1.43534i | −0.696384 | − | 0.717670i | \(-0.745209\pi\) | ||
0.696384 | − | 0.717670i | \(-0.254791\pi\) | |||||||
\(80\) | −7.84200 | + | 4.30151i | −0.876763 | + | 0.480924i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.87103 | + | 16.5353i | 0.648347 | + | 1.82602i | ||||
\(83\) | 3.58072 | + | 3.58072i | 0.393035 | + | 0.393035i | 0.875768 | − | 0.482733i | \(-0.160356\pi\) |
−0.482733 | + | 0.875768i | \(0.660356\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.626392 | − | 8.05627i | 0.0679418 | − | 0.873826i | ||||
\(86\) | −4.88051 | + | 10.2543i | −0.526279 | + | 1.10575i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.01035 | + | 6.58130i | −0.427504 | + | 0.701569i | ||||
\(89\) | 10.2214 | 1.08347 | 0.541734 | − | 0.840550i | \(-0.317768\pi\) | ||||
0.541734 | + | 0.840550i | \(0.317768\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.62480i | 0.275154i | ||||||||
\(92\) | −0.182147 | + | 1.76135i | −0.0189901 | + | 0.183633i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −17.0748 | − | 8.12673i | −1.76113 | − | 0.838208i | ||||
\(95\) | −5.14884 | − | 6.01700i | −0.528259 | − | 0.617331i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.29731 | + | 1.29731i | −0.131722 | + | 0.131722i | −0.769894 | − | 0.638172i | \(-0.779691\pi\) |
0.638172 | + | 0.769894i | \(0.279691\pi\) | |||||||
\(98\) | 1.09611 | + | 3.08712i | 0.110724 | + | 0.311846i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.03080 | + | 8.64240i | 0.503080 | + | 0.864240i | ||||
\(101\) | 5.82360 | 0.579470 | 0.289735 | − | 0.957107i | \(-0.406433\pi\) | ||||
0.289735 | + | 0.957107i | \(0.406433\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.08360 | − | 3.08360i | −0.303836 | − | 0.303836i | 0.538677 | − | 0.842513i | \(-0.318924\pi\) |
−0.842513 | + | 0.538677i | \(0.818924\pi\) | |||||||
\(104\) | 0.809193 | + | 3.33367i | 0.0793479 | + | 0.326893i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.6779 | + | 5.55810i | 1.13426 | + | 0.539850i | ||||
\(107\) | −6.49670 | + | 6.49670i | −0.628060 | + | 0.628060i | −0.947580 | − | 0.319520i | \(-0.896478\pi\) |
0.319520 | + | 0.947580i | \(0.396478\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.41031 | −0.518213 | −0.259107 | − | 0.965849i | \(-0.583428\pi\) | ||||
−0.259107 | + | 0.965849i | \(0.583428\pi\) | |||||||
\(110\) | 7.46984 | + | 4.29500i | 0.712221 | + | 0.409512i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.73899 | − | 7.24424i | −0.447793 | − | 0.684516i | ||||
\(113\) | −0.358788 | + | 0.358788i | −0.0337519 | + | 0.0337519i | −0.723781 | − | 0.690029i | \(-0.757598\pi\) |
0.690029 | + | 0.723781i | \(0.257598\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.97379 | + | 0.153466i | 0.184057 | + | 0.0143108i | ||||
\(116\) | −6.46082 | − | 7.95122i | −0.599873 | − | 0.738253i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.18963 | + | 3.35050i | 0.109514 | + | 0.308439i | ||||
\(119\) | 7.82071 | 0.716923 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.57545 | −0.325041 | ||||||||
\(122\) | 4.49141 | + | 12.6497i | 0.406633 | + | 1.14525i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 12.2552 | − | 9.95803i | 1.10055 | − | 0.894258i | ||||
\(125\) | 9.51623 | − | 5.86868i | 0.851157 | − | 0.524911i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.916401 | + | 0.916401i | −0.0813174 | + | 0.0813174i | −0.746596 | − | 0.665278i | \(-0.768313\pi\) |
0.665278 | + | 0.746596i | \(0.268313\pi\) | |||||||
\(128\) | −8.25212 | − | 7.73967i | −0.729392 | − | 0.684096i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.70292 | − | 0.999263i | 0.324768 | − | 0.0876412i | ||||
\(131\) | 19.5355 | 1.70683 | 0.853413 | − | 0.521235i | \(-0.174529\pi\) | ||||
0.853413 | + | 0.521235i | \(0.174529\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.41968 | − | 5.41968i | 0.469945 | − | 0.469945i | ||||
\(134\) | −17.9021 | − | 8.52050i | −1.54651 | − | 0.736059i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.93280 | − | 2.41103i | 0.851730 | − | 0.206744i | ||||
\(137\) | −7.66611 | − | 7.66611i | −0.654960 | − | 0.654960i | 0.299223 | − | 0.954183i | \(-0.403273\pi\) |
−0.954183 | + | 0.299223i | \(0.903273\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.7210 | 1.24862 | 0.624308 | − | 0.781178i | \(-0.285381\pi\) | ||||
0.624308 | + | 0.781178i | \(0.285381\pi\) | |||||||
\(140\) | −7.96185 | + | 5.50275i | −0.672899 | + | 0.465067i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.03946 | + | 2.92756i | 0.0872296 | + | 0.245676i | ||||
\(143\) | 2.33684 | − | 2.33684i | 0.195416 | − | 0.195416i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.70304 | + | 7.44731i | −0.722748 | + | 0.618466i | ||||
\(146\) | −10.3166 | − | 4.91019i | −0.853809 | − | 0.406370i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 11.8597 | + | 1.22645i | 0.974859 | + | 0.100813i | ||||
\(149\) | − | 15.6300i | − | 1.28046i | −0.768182 | − | 0.640231i | \(-0.778838\pi\) | ||
0.768182 | − | 0.640231i | \(-0.221162\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −17.5889 | −1.43136 | −0.715682 | − | 0.698426i | \(-0.753884\pi\) | ||||
−0.715682 | + | 0.698426i | \(0.753884\pi\) | |||||||
\(152\) | 5.21251 | − | 8.55415i | 0.422791 | − | 0.693833i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.58394 | + | 7.53008i | −0.288802 | + | 0.606791i | ||||
\(155\) | −11.4785 | − | 13.4139i | −0.921975 | − | 1.07743i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.60352 | − | 7.60352i | −0.606827 | − | 0.606827i | 0.335288 | − | 0.942116i | \(-0.391166\pi\) |
−0.942116 | + | 0.335288i | \(0.891166\pi\) | |||||||
\(158\) | −6.03674 | − | 17.0020i | −0.480257 | − | 1.35261i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.41562 | + | 9.44338i | −0.665313 | + | 0.746565i | ||||
\(161\) | 1.91608i | 0.151008i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.53586 | − | 8.53586i | 0.668580 | − | 0.668580i | −0.288807 | − | 0.957387i | \(-0.593259\pi\) |
0.957387 | + | 0.288807i | \(0.0932586\pi\) | |||||||
\(164\) | 15.6487 | + | 19.2585i | 1.22195 | + | 1.50384i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.46639 | + | 3.07767i | 0.501889 | + | 0.238874i | ||||
\(167\) | −6.11022 | − | 6.11022i | −0.472823 | − | 0.472823i | 0.430004 | − | 0.902827i | \(-0.358512\pi\) |
−0.902827 | + | 0.430004i | \(0.858512\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.5290i | 0.886845i | ||||||||
\(170\) | −2.97735 | − | 11.0330i | −0.228352 | − | 0.846193i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.65206 | + | 15.9753i | −0.125968 | + | 1.21810i | ||||
\(173\) | −0.593720 | − | 0.593720i | −0.0451397 | − | 0.0451397i | 0.684177 | − | 0.729316i | \(-0.260162\pi\) |
−0.729316 | + | 0.684177i | \(0.760162\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.37680 | + | 8.74217i | 0.482041 | + | 0.660846i | ||||
\(176\) | −2.23040 | + | 10.6686i | −0.168123 | + | 0.804173i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.6221 | − | 4.83666i | 1.02102 | − | 0.362523i | ||||
\(179\) | 11.3935i | 0.851593i | 0.904819 | + | 0.425796i | \(0.140006\pi\) | ||||
−0.904819 | + | 0.425796i | \(0.859994\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.31410i | 0.543653i | 0.962346 | + | 0.271827i | \(0.0876277\pi\) | ||||
−0.962346 | + | 0.271827i | \(0.912372\pi\) | |||||||
\(182\) | 1.24203 | + | 3.49808i | 0.0920652 | + | 0.259295i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.590702 | + | 2.43354i | 0.0435471 | + | 0.179403i | ||||
\(185\) | 1.03333 | − | 13.2901i | 0.0759722 | − | 0.977108i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.96270 | − | 6.96270i | −0.509163 | − | 0.509163i | ||||
\(188\) | −26.6011 | − | 2.75091i | −1.94008 | − | 0.200631i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −9.70904 | − | 5.58249i | −0.704368 | − | 0.404997i | ||||
\(191\) | − | 1.32855i | − | 0.0961302i | −0.998844 | − | 0.0480651i | \(-0.984695\pi\) | ||
0.998844 | − | 0.0480651i | \(-0.0153055\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.5366 | − | 11.5366i | −0.830423 | − | 0.830423i | 0.157152 | − | 0.987574i | \(-0.449769\pi\) |
−0.987574 | + | 0.157152i | \(0.949769\pi\) | |||||||
\(194\) | −1.11506 | + | 2.34280i | −0.0800563 | + | 0.168203i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.92158 | + | 3.59554i | 0.208684 | + | 0.256824i | ||||
\(197\) | −16.1999 | + | 16.1999i | −1.15420 | + | 1.15420i | −0.168494 | + | 0.985703i | \(0.553890\pi\) |
−0.985703 | + | 0.168494i | \(0.946110\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.09388i | 0.431984i | 0.976395 | + | 0.215992i | \(0.0692985\pi\) | ||||
−0.976395 | + | 0.215992i | \(0.930702\pi\) | |||||||
\(200\) | 10.7940 | + | 9.13721i | 0.763254 | + | 0.646099i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.76112 | − | 2.75566i | 0.546071 | − | 0.193888i | ||||
\(203\) | −7.83906 | − | 7.83906i | −0.550194 | − | 0.550194i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 21.0795 | − | 18.0380i | 1.47225 | − | 1.25983i | ||||
\(206\) | −5.56864 | − | 2.65039i | −0.387986 | − | 0.184662i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.65587 | + | 4.05988i | 0.184151 | + | 0.281502i | ||||
\(209\) | −9.65017 | −0.667516 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 24.9318i | − | 1.71637i | −0.513338 | − | 0.858186i | \(-0.671591\pi\) | ||
0.513338 | − | 0.858186i | \(-0.328409\pi\) | |||||||
\(212\) | 18.1932 | + | 1.88142i | 1.24951 | + | 0.129217i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.58399 | + | 11.7323i | −0.381714 | + | 0.802005i | ||||
\(215\) | 17.9021 | + | 1.39193i | 1.22091 | + | 0.0949286i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 12.0823 | − | 12.0823i | 0.820200 | − | 0.820200i | ||||
\(218\) | −7.21032 | + | 2.56010i | −0.488345 | + | 0.173392i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 11.9874 | + | 2.18931i | 0.808191 | + | 0.147603i | ||||
\(221\) | −4.38295 | −0.294829 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.42573 | − | 5.42573i | −0.363334 | − | 0.363334i | 0.501705 | − | 0.865039i | \(-0.332706\pi\) |
−0.865039 | + | 0.501705i | \(0.832706\pi\) | |||||||
\(224\) | −9.74355 | − | 7.41196i | −0.651018 | − | 0.495233i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.308383 | + | 0.647931i | −0.0205133 | + | 0.0430998i | ||||
\(227\) | 8.15485 | − | 8.15485i | 0.541256 | − | 0.541256i | −0.382641 | − | 0.923897i | \(-0.624985\pi\) |
0.923897 | + | 0.382641i | \(0.124985\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.5344 | −0.960462 | −0.480231 | − | 0.877142i | \(-0.659447\pi\) | ||||
−0.480231 | + | 0.877142i | \(0.659447\pi\) | |||||||
\(230\) | 2.70309 | − | 0.729451i | 0.178237 | − | 0.0480986i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −12.3728 | − | 7.53942i | −0.812313 | − | 0.494987i | ||||
\(233\) | 2.40471 | − | 2.40471i | 0.157538 | − | 0.157538i | −0.623937 | − | 0.781475i | \(-0.714468\pi\) |
0.781475 | + | 0.623937i | \(0.214468\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.31775 | + | 29.8095i | −0.151194 | + | 1.94456i | ||||
\(236\) | 3.17084 | + | 3.90230i | 0.206404 | + | 0.254018i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.4227 | − | 3.70067i | 0.675601 | − | 0.239879i | ||||
\(239\) | 6.79965 | 0.439833 | 0.219917 | − | 0.975519i | \(-0.429422\pi\) | ||||
0.219917 | + | 0.975519i | \(0.429422\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.2108 | 1.04423 | 0.522114 | − | 0.852876i | \(-0.325143\pi\) | ||||
0.522114 | + | 0.852876i | \(0.325143\pi\) | |||||||
\(242\) | −4.76501 | + | 1.69187i | −0.306307 | + | 0.108757i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.9714 | + | 14.7330i | 0.766391 | + | 0.943184i | ||||
\(245\) | 3.93551 | − | 3.36767i | 0.251430 | − | 0.215153i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.03734 | + | 3.03734i | −0.193261 | + | 0.193261i | ||||
\(248\) | 11.6205 | − | 19.0701i | 0.737900 | − | 1.21095i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.90529 | − | 12.3242i | 0.626466 | − | 0.779449i | ||||
\(251\) | 9.56946 | 0.604019 | 0.302009 | − | 0.953305i | \(-0.402343\pi\) | ||||
0.302009 | + | 0.953305i | \(0.402343\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.70587 | − | 1.70587i | 0.107247 | − | 0.107247i | ||||
\(254\) | −0.787658 | + | 1.65492i | −0.0494220 | + | 0.103839i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.6599 | − | 6.40985i | −0.916246 | − | 0.400616i | ||||
\(257\) | −5.61999 | − | 5.61999i | −0.350566 | − | 0.350566i | 0.509754 | − | 0.860320i | \(-0.329736\pi\) |
−0.860320 | + | 0.509754i | \(0.829736\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.9015 | 0.801661 | ||||||||
\(260\) | 4.46205 | − | 3.08390i | 0.276724 | − | 0.191255i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 26.0350 | − | 9.24399i | 1.60845 | − | 0.571096i | ||||
\(263\) | −16.0240 | + | 16.0240i | −0.988080 | + | 0.988080i | −0.999930 | − | 0.0118502i | \(-0.996228\pi\) |
0.0118502 | + | 0.999930i | \(0.496228\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.58518 | − | 20.3876i | 0.0973766 | − | 1.25240i | ||||
\(266\) | 4.65828 | − | 9.78734i | 0.285617 | − | 0.600100i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −27.8900 | − | 2.88420i | −1.70365 | − | 0.176180i | ||||
\(269\) | 8.90392i | 0.542882i | 0.962455 | + | 0.271441i | \(0.0875001\pi\) | ||||
−0.962455 | + | 0.271441i | \(0.912500\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.0162 | −0.851422 | −0.425711 | − | 0.904859i | \(-0.639976\pi\) | ||||
−0.425711 | + | 0.904859i | \(0.639976\pi\) | |||||||
\(272\) | 12.0966 | − | 7.91326i | 0.733463 | − | 0.479812i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −13.8442 | − | 6.58912i | −0.836356 | − | 0.398063i | ||||
\(275\) | 2.10586 | − | 13.4603i | 0.126988 | − | 0.811685i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.00404 | + | 2.00404i | 0.120411 | + | 0.120411i | 0.764745 | − | 0.644333i | \(-0.222865\pi\) |
−0.644333 | + | 0.764745i | \(0.722865\pi\) | |||||||
\(278\) | 19.6186 | − | 6.96580i | 1.17665 | − | 0.417781i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −8.00692 | + | 11.1010i | −0.478505 | + | 0.663410i | ||||
\(281\) | − | 9.33618i | − | 0.556950i | −0.960444 | − | 0.278475i | \(-0.910171\pi\) | ||
0.960444 | − | 0.278475i | \(-0.0898289\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −22.3583 | + | 22.3583i | −1.32906 | + | 1.32906i | −0.422877 | + | 0.906187i | \(0.638980\pi\) |
−0.906187 | + | 0.422877i | \(0.861020\pi\) | |||||||
\(284\) | 2.77058 | + | 3.40971i | 0.164404 | + | 0.202329i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.00854 | − | 4.22007i | 0.118767 | − | 0.249538i | ||||
\(287\) | 18.9868 | + | 18.9868i | 1.12076 | + | 1.12076i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 3.94082i | − | 0.231813i | ||||||
\(290\) | −8.07456 | + | 14.0432i | −0.474154 | + | 0.824646i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −16.0724 | − | 1.66210i | −0.940566 | − | 0.0972672i | ||||
\(293\) | 5.84966 | + | 5.84966i | 0.341741 | + | 0.341741i | 0.857021 | − | 0.515281i | \(-0.172312\pi\) |
−0.515281 | + | 0.857021i | \(0.672312\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.27127 | − | 3.65499i | 0.248683 | − | 0.212802i | ||||
\(296\) | 16.3857 | − | 3.97737i | 0.952401 | − | 0.231180i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.39596 | − | 20.8302i | −0.428437 | − | 1.20666i | ||||
\(299\) | − | 1.07382i | − | 0.0621009i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.3787i | 1.00169i | ||||||||
\(302\) | −23.4407 | + | 8.32287i | −1.34886 | + | 0.478927i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.89899 | − | 13.8666i | 0.166269 | − | 0.795305i | ||||
\(305\) | 16.1261 | − | 13.7993i | 0.923375 | − | 0.790145i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.13875 | − | 6.13875i | −0.350357 | − | 0.350357i | 0.509886 | − | 0.860242i | \(-0.329688\pi\) |
−0.860242 | + | 0.509886i | \(0.829688\pi\) | |||||||
\(308\) | −1.21317 | + | 11.7312i | −0.0691266 | + | 0.668448i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −21.6447 | − | 12.4453i | −1.22934 | − | 0.706844i | ||||
\(311\) | 13.0614i | 0.740642i | 0.928904 | + | 0.370321i | \(0.120752\pi\) | ||||
−0.928904 | + | 0.370321i | \(0.879248\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.0110 | + | 22.0110i | 1.24414 | + | 1.24414i | 0.958269 | + | 0.285869i | \(0.0922822\pi\) |
0.285869 | + | 0.958269i | \(0.407718\pi\) | |||||||
\(314\) | −13.7311 | − | 6.53532i | −0.774892 | − | 0.368810i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −16.0903 | − | 19.8021i | −0.905153 | − | 1.11396i | ||||
\(317\) | −6.28577 | + | 6.28577i | −0.353044 | + | 0.353044i | −0.861241 | − | 0.508197i | \(-0.830312\pi\) |
0.508197 | + | 0.861241i | \(0.330312\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.9581i | 0.781502i | ||||||||
\(320\) | −6.74700 | + | 16.5674i | −0.377169 | + | 0.926145i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.906666 | + | 2.55356i | 0.0505265 | + | 0.142304i | ||||
\(323\) | 9.04989 | + | 9.04989i | 0.503549 | + | 0.503549i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.57374 | − | 4.89936i | −0.198236 | − | 0.271768i | ||||
\(326\) | 7.33668 | − | 15.4148i | 0.406341 | − | 0.853748i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 29.9679 | + | 18.2611i | 1.65470 | + | 1.00830i | ||||
\(329\) | −28.9379 | −1.59540 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.2733i | 1.44411i | 0.691836 | + | 0.722055i | \(0.256802\pi\) | ||||
−0.691836 | + | 0.722055i | \(0.743198\pi\) | |||||||
\(332\) | 10.0741 | + | 1.04180i | 0.552887 | + | 0.0571760i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.0344 | − | 5.25181i | −0.603775 | − | 0.287366i | ||||
\(335\) | −2.43006 | + | 31.2539i | −0.132768 | + | 1.70758i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.4860 | − | 16.4860i | 0.898047 | − | 0.898047i | −0.0972161 | − | 0.995263i | \(-0.530994\pi\) |
0.995263 | + | 0.0972161i | \(0.0309938\pi\) | |||||||
\(338\) | 5.45539 | + | 15.3647i | 0.296734 | + | 0.835729i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9.18861 | − | 13.2949i | −0.498322 | − | 0.721015i | ||||
\(341\) | −21.5135 | −1.16502 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.2568 | + | 14.2568i | 0.769797 | + | 0.769797i | ||||
\(344\) | 5.35762 | + | 22.0720i | 0.288863 | + | 1.19004i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.07219 | − | 0.510310i | −0.0576415 | − | 0.0274344i | ||||
\(347\) | −2.85611 | + | 2.85611i | −0.153324 | + | 0.153324i | −0.779601 | − | 0.626277i | \(-0.784578\pi\) |
0.626277 | + | 0.779601i | \(0.284578\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −19.3216 | −1.03426 | −0.517130 | − | 0.855907i | \(-0.673000\pi\) | ||||
−0.517130 | + | 0.855907i | \(0.673000\pi\) | |||||||
\(350\) | 12.6351 | + | 8.63326i | 0.675373 | + | 0.461467i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.07579 | + | 15.2734i | 0.110640 | + | 0.814075i | ||||
\(353\) | −17.0194 | + | 17.0194i | −0.905850 | + | 0.905850i | −0.995934 | − | 0.0900845i | \(-0.971286\pi\) |
0.0900845 | + | 0.995934i | \(0.471286\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.73210 | − | 3.19361i | 0.198079 | − | 0.169499i | ||||
\(356\) | 15.8655 | − | 12.8917i | 0.840872 | − | 0.683256i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.39129 | + | 15.1842i | 0.284939 | + | 0.802509i | ||||
\(359\) | 14.6210 | 0.771665 | 0.385832 | − | 0.922569i | \(-0.373914\pi\) | ||||
0.385832 | + | 0.922569i | \(0.373914\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.45703 | −0.339844 | ||||||||
\(362\) | 3.46095 | + | 9.74751i | 0.181904 | + | 0.512318i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.31050 | + | 4.07418i | 0.173517 | + | 0.213545i | ||||
\(365\) | −1.40039 | + | 18.0110i | −0.0732998 | + | 0.942737i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.21722 | + | 8.21722i | −0.428935 | + | 0.428935i | −0.888266 | − | 0.459330i | \(-0.848089\pi\) |
0.459330 | + | 0.888266i | \(0.348089\pi\) | |||||||
\(368\) | 1.93875 | + | 2.96367i | 0.101064 | + | 0.154492i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.91161 | − | 18.2007i | −0.255342 | − | 0.946210i | ||||
\(371\) | 19.7914 | 1.02752 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.54965 | + | 9.54965i | −0.494462 | + | 0.494462i | −0.909709 | − | 0.415247i | \(-0.863695\pi\) |
0.415247 | + | 0.909709i | \(0.363695\pi\) | |||||||
\(374\) | −12.5739 | − | 5.98453i | −0.650180 | − | 0.309453i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −36.7530 | + | 8.92119i | −1.89539 | + | 0.460075i | ||||
\(377\) | 4.39323 | + | 4.39323i | 0.226263 | + | 0.226263i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.71237 | 0.498891 | 0.249445 | − | 0.968389i | \(-0.419752\pi\) | ||||
0.249445 | + | 0.968389i | \(0.419752\pi\) | |||||||
\(380\) | −15.5808 | − | 2.84559i | −0.799279 | − | 0.145976i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.628653 | − | 1.77056i | −0.0321647 | − | 0.0905895i | ||||
\(383\) | −3.97088 | + | 3.97088i | −0.202903 | + | 0.202903i | −0.801242 | − | 0.598340i | \(-0.795827\pi\) |
0.598340 | + | 0.801242i | \(0.295827\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 13.1462 | + | 1.02214i | 0.669991 | + | 0.0520932i | ||||
\(386\) | −20.8338 | − | 9.91585i | −1.06041 | − | 0.504703i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.377447 | + | 3.64989i | −0.0191620 | + | 0.185295i | ||||
\(389\) | − | 15.9006i | − | 0.806194i | −0.915157 | − | 0.403097i | \(-0.867934\pi\) | ||
0.915157 | − | 0.403097i | \(-0.132066\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.19950 | −0.161806 | ||||||||
\(392\) | 5.59496 | + | 3.40932i | 0.282588 | + | 0.172197i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −13.9240 | + | 29.2553i | −0.701483 | + | 1.47386i | ||||
\(395\) | −21.6745 | + | 18.5471i | −1.09056 | + | 0.933208i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.2354 | + | 17.2354i | 0.865019 | + | 0.865019i | 0.991916 | − | 0.126897i | \(-0.0405017\pi\) |
−0.126897 | + | 0.991916i | \(0.540502\pi\) | |||||||
\(398\) | 2.88356 | + | 8.12132i | 0.144540 | + | 0.407085i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 18.7089 | + | 7.06956i | 0.935443 | + | 0.353478i | ||||
\(401\) | − | 13.1249i | − | 0.655428i | −0.944777 | − | 0.327714i | \(-0.893722\pi\) | ||
0.944777 | − | 0.327714i | \(-0.106278\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.77127 | + | 6.77127i | −0.337301 | + | 0.337301i | ||||
\(404\) | 9.03931 | − | 7.34495i | 0.449722 | − | 0.365425i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −14.1565 | − | 6.73777i | −0.702574 | − | 0.334390i | ||||
\(407\) | −11.4861 | − | 11.4861i | −0.569345 | − | 0.569345i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.2852i | 0.558017i | 0.960289 | + | 0.279008i | \(0.0900058\pi\) | ||||
−0.960289 | + | 0.279008i | \(0.909994\pi\) | |||||||
\(410\) | 19.5573 | − | 34.0138i | 0.965864 | − | 1.67982i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −8.67547 | − | 0.897160i | −0.427410 | − | 0.0441999i | ||||
\(413\) | 3.84725 | + | 3.84725i | 0.189311 | + | 0.189311i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.877757 | − | 11.2892i | 0.0430874 | − | 0.554163i | ||||
\(416\) | 5.46057 | + | 4.15388i | 0.267726 | + | 0.203661i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −12.8608 | + | 4.56635i | −0.629042 | + | 0.223348i | ||||
\(419\) | 4.75266i | 0.232183i | 0.993239 | + | 0.116091i | \(0.0370365\pi\) | ||||
−0.993239 | + | 0.116091i | \(0.962963\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 0.283341i | − | 0.0138092i | −0.999976 | − | 0.00690460i | \(-0.997802\pi\) | ||
0.999976 | − | 0.00690460i | \(-0.00219782\pi\) | |||||||
\(422\) | −11.7974 | − | 33.2266i | −0.574290 | − | 1.61744i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 25.1364 | − | 6.10145i | 1.22073 | − | 0.296313i | ||||
\(425\) | −14.5978 | + | 10.6481i | −0.708100 | + | 0.516510i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.5252 | + | 14.5252i | 0.702922 | + | 0.702922i | ||||
\(428\) | −1.89019 | + | 18.2780i | −0.0913657 | + | 0.883499i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 24.5168 | − | 6.61606i | 1.18231 | − | 0.319055i | ||||
\(431\) | − | 10.1002i | − | 0.486508i | −0.969963 | − | 0.243254i | \(-0.921785\pi\) | ||
0.969963 | − | 0.243254i | \(-0.0782149\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.65232 | + | 5.65232i | 0.271633 | + | 0.271633i | 0.829757 | − | 0.558124i | \(-0.188479\pi\) |
−0.558124 | + | 0.829757i | \(0.688479\pi\) | |||||||
\(434\) | 10.3849 | − | 21.8193i | 0.498490 | − | 1.04736i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.39779 | + | 6.82369i | −0.402181 | + | 0.326795i | ||||
\(437\) | −2.21723 | + | 2.21723i | −0.106064 | + | 0.106064i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 17.0307i | − | 0.812831i | −0.913688 | − | 0.406415i | \(-0.866779\pi\) | ||
0.913688 | − | 0.406415i | \(-0.133221\pi\) | |||||||
\(440\) | 17.0116 | − | 2.75461i | 0.810995 | − | 0.131321i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.84116 | + | 2.07396i | −0.277836 | + | 0.0986484i | ||||
\(443\) | −10.8863 | − | 10.8863i | −0.517226 | − | 0.517226i | 0.399505 | − | 0.916731i | \(-0.369182\pi\) |
−0.916731 | + | 0.399505i | \(0.869182\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.8600 | − | 17.3657i | −0.704434 | − | 0.823211i | ||||
\(446\) | −9.79827 | − | 4.66348i | −0.463961 | − | 0.220822i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.4925 | − | 5.26739i | −0.779197 | − | 0.248861i | ||||
\(449\) | −10.3509 | −0.488488 | −0.244244 | − | 0.969714i | \(-0.578540\pi\) | ||||
−0.244244 | + | 0.969714i | \(0.578540\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 33.8076i | − | 1.59194i | ||||||
\(452\) | −0.104388 | + | 1.00942i | −0.00490999 | + | 0.0474792i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.00919 | − | 14.7268i | 0.328958 | − | 0.691161i | ||||
\(455\) | 4.45940 | − | 3.81598i | 0.209060 | − | 0.178896i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.38449 | − | 6.38449i | 0.298654 | − | 0.298654i | −0.541833 | − | 0.840486i | \(-0.682269\pi\) |
0.840486 | + | 0.541833i | \(0.182269\pi\) | |||||||
\(458\) | −19.3700 | + | 6.87753i | −0.905103 | + | 0.321366i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.25724 | − | 2.25121i | 0.151870 | − | 0.104963i | ||||
\(461\) | −6.07751 | −0.283058 | −0.141529 | − | 0.989934i | \(-0.545202\pi\) | ||||
−0.141529 | + | 0.989934i | \(0.545202\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 22.2374 | + | 22.2374i | 1.03346 | + | 1.03346i | 0.999421 | + | 0.0340371i | \(0.0108364\pi\) |
0.0340371 | + | 0.999421i | \(0.489164\pi\) | |||||||
\(464\) | −20.0568 | − | 4.19313i | −0.931113 | − | 0.194661i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.06688 | − | 4.34265i | 0.0957464 | − | 0.201169i | ||||
\(467\) | 17.6001 | − | 17.6001i | 0.814434 | − | 0.814434i | −0.170861 | − | 0.985295i | \(-0.554655\pi\) |
0.985295 | + | 0.170861i | \(0.0546549\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −30.3400 | −1.40097 | ||||||||
\(470\) | 11.0167 | + | 40.8239i | 0.508161 | + | 1.88307i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.07231 | + | 3.70019i | 0.279501 | + | 0.170315i | ||||
\(473\) | 15.4721 | − | 15.4721i | 0.711406 | − | 0.711406i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.73713 | + | 17.4952i | −0.125588 | + | 0.802735i | ||||
\(476\) | 12.1392 | − | 9.86378i | 0.556399 | − | 0.452106i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.06191 | − | 3.21752i | 0.414482 | − | 0.147166i | ||||
\(479\) | 2.47636 | 0.113148 | 0.0565740 | − | 0.998398i | \(-0.481982\pi\) | ||||
0.0565740 | + | 0.998398i | \(0.481982\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.23038 | −0.329677 | ||||||||
\(482\) | 21.6041 | − | 7.67076i | 0.984041 | − | 0.349394i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.54976 | + | 4.50950i | −0.252262 | + | 0.204977i | ||||
\(485\) | 4.09012 | + | 0.318015i | 0.185723 | + | 0.0144403i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.3734 | − | 12.3734i | 0.560694 | − | 0.560694i | −0.368811 | − | 0.929505i | \(-0.620235\pi\) |
0.929505 | + | 0.368811i | \(0.120235\pi\) | |||||||
\(488\) | 22.9258 | + | 13.9700i | 1.03780 | + | 0.632390i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.65131 | − | 6.35034i | 0.164949 | − | 0.286879i | ||||
\(491\) | −37.1551 | −1.67679 | −0.838394 | − | 0.545064i | \(-0.816505\pi\) | ||||
−0.838394 | + | 0.545064i | \(0.816505\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.0898 | − | 13.0898i | 0.589536 | − | 0.589536i | ||||
\(494\) | −2.61063 | + | 5.48510i | −0.117458 | + | 0.246787i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.46284 | − | 30.9134i | 0.290190 | − | 1.38805i | ||||
\(497\) | 3.36160 | + | 3.36160i | 0.150789 | + | 0.150789i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 34.8644 | 1.56075 | 0.780373 | − | 0.625315i | \(-0.215029\pi\) | ||||
0.780373 | + | 0.625315i | \(0.215029\pi\) | |||||||
\(500\) | 7.36914 | − | 21.1115i | 0.329558 | − | 0.944135i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.7532 | − | 4.52816i | 0.569204 | − | 0.202102i | ||||
\(503\) | 1.25041 | − | 1.25041i | 0.0557529 | − | 0.0557529i | −0.678681 | − | 0.734434i | \(-0.737448\pi\) |
0.734434 | + | 0.678681i | \(0.237448\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.46644 | − | 9.89400i | −0.376752 | − | 0.440277i | ||||
\(506\) | 1.46621 | − | 3.08060i | 0.0651811 | − | 0.136950i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.266623 | + | 2.57822i | −0.0118295 | + | 0.114390i | ||||
\(509\) | − | 38.4393i | − | 1.70379i | −0.523711 | − | 0.851896i | \(-0.675453\pi\) | ||
0.523711 | − | 0.851896i | \(-0.324547\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −17.4843 | −0.773461 | ||||||||
\(512\) | −22.5704 | − | 1.60549i | −0.997480 | − | 0.0709535i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −10.1491 | − | 4.83045i | −0.447657 | − | 0.213062i | ||||
\(515\) | −0.755895 | + | 9.72185i | −0.0333087 | + | 0.428396i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 25.7631 | + | 25.7631i | 1.13306 | + | 1.13306i | ||||
\(518\) | 17.1939 | − | 6.10485i | 0.755455 | − | 0.268232i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.48731 | − | 6.22131i | 0.196781 | − | 0.272822i | ||||
\(521\) | 19.1329i | 0.838226i | 0.907934 | + | 0.419113i | \(0.137659\pi\) | ||||
−0.907934 | + | 0.419113i | \(0.862341\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.870444 | + | 0.870444i | −0.0380619 | + | 0.0380619i | −0.725882 | − | 0.687820i | \(-0.758568\pi\) |
0.687820 | + | 0.725882i | \(0.258568\pi\) | |||||||
\(524\) | 30.3227 | − | 24.6389i | 1.32465 | − | 1.07636i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.7728 | + | 28.9375i | −0.600522 | + | 1.26174i | ||||
\(527\) | 20.1753 | + | 20.1753i | 0.878849 | + | 0.878849i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.2161i | 0.965918i | ||||||||
\(530\) | −7.53460 | − | 27.9206i | −0.327282 | − | 1.21279i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.57683 | − | 15.2478i | 0.0683643 | − | 0.661078i | ||||
\(533\) | −10.6408 | − | 10.6408i | −0.460903 | − | 0.460903i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 20.4825 | + | 1.59256i | 0.885538 | + | 0.0688524i | ||||
\(536\) | −38.5338 | + | 9.35345i | −1.66441 | + | 0.404007i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 4.21324 | + | 11.8663i | 0.181646 | + | 0.511591i | ||||
\(539\) | − | 6.31183i | − | 0.271870i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 18.7259i | − | 0.805089i | −0.915400 | − | 0.402544i | \(-0.868126\pi\) | ||
0.915400 | − | 0.402544i | \(-0.131874\pi\) | |||||||
\(542\) | −18.6794 | + | 6.63230i | −0.802347 | + | 0.284881i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.3767 | − | 16.2700i | 0.530645 | − | 0.697570i | ||||
\(545\) | 7.86558 | + | 9.19183i | 0.336924 | + | 0.393735i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.7085 | − | 25.7085i | −1.09922 | − | 1.09922i | −0.994502 | − | 0.104713i | \(-0.966608\pi\) |
−0.104713 | − | 0.994502i | \(-0.533392\pi\) | |||||||
\(548\) | −21.5680 | − | 2.23042i | −0.921340 | − | 0.0952790i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.56277 | − | 18.9350i | −0.151917 | − | 0.807391i | ||||
\(551\) | − | 18.1422i | − | 0.772885i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.5228 | − | 19.5228i | −0.830192 | − | 0.830192i | ||||
\(554\) | 3.61908 | + | 1.72250i | 0.153760 | + | 0.0731819i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 22.8497 | − | 18.5667i | 0.969041 | − | 0.787401i | ||||
\(557\) | 4.85098 | − | 4.85098i | 0.205543 | − | 0.205543i | −0.596827 | − | 0.802370i | \(-0.703572\pi\) |
0.802370 | + | 0.596827i | \(0.203572\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 9.73950i | − | 0.411937i | ||||||
\(560\) | −5.41797 | + | 18.5831i | −0.228951 | + | 0.785278i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.41778 | − | 12.4423i | −0.186353 | − | 0.524848i | ||||
\(563\) | −5.13320 | − | 5.13320i | −0.216339 | − | 0.216339i | 0.590615 | − | 0.806954i | \(-0.298885\pi\) |
−0.806954 | + | 0.590615i | \(0.798885\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.13117 | + | 0.0879511i | 0.0475888 | + | 0.00370013i | ||||
\(566\) | −19.2172 | + | 40.3767i | −0.807761 | + | 1.69716i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.30579 | + | 3.23311i | 0.222626 | + | 0.135658i | ||||
\(569\) | 27.4425 | 1.15045 | 0.575224 | − | 0.817996i | \(-0.304915\pi\) | ||||
0.575224 | + | 0.817996i | \(0.304915\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.73020i | 0.323499i | 0.986832 | + | 0.161749i | \(0.0517136\pi\) | ||||
−0.986832 | + | 0.161749i | \(0.948286\pi\) | |||||||
\(572\) | 0.679893 | − | 6.57451i | 0.0284278 | − | 0.274894i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 34.2882 | + | 16.3194i | 1.43116 | + | 0.681160i | ||||
\(575\) | −2.60879 | − | 3.57648i | −0.108794 | − | 0.149149i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.33858 | + | 9.33858i | −0.388770 | + | 0.388770i | −0.874249 | − | 0.485478i | \(-0.838645\pi\) |
0.485478 | + | 0.874249i | \(0.338645\pi\) | |||||||
\(578\) | −1.86475 | − | 5.25193i | −0.0775634 | − | 0.218452i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.11588 | + | 22.5362i | −0.170903 | + | 0.935765i | ||||
\(581\) | 10.9591 | 0.454659 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −17.6201 | − | 17.6201i | −0.729751 | − | 0.729751i | ||||
\(584\) | −22.2062 | + | 5.39020i | −0.918899 | + | 0.223048i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.5638 | + | 5.02785i | 0.436388 | + | 0.207699i | ||||
\(587\) | 20.5419 | − | 20.5419i | 0.847856 | − | 0.847856i | −0.142010 | − | 0.989865i | \(-0.545356\pi\) |
0.989865 | + | 0.142010i | \(0.0453564\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 27.9625 | 1.15218 | ||||||||
\(590\) | 3.96283 | − | 6.89213i | 0.163147 | − | 0.283744i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 19.9552 | − | 13.0542i | 0.820155 | − | 0.536524i | ||||
\(593\) | 15.8708 | − | 15.8708i | 0.651734 | − | 0.651734i | −0.301676 | − | 0.953410i | \(-0.597546\pi\) |
0.953410 | + | 0.301676i | \(0.0975462\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11.3699 | − | 13.2870i | −0.466119 | − | 0.544713i | ||||
\(596\) | −19.7132 | − | 24.2607i | −0.807485 | − | 0.993757i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.508122 | − | 1.43109i | −0.0207786 | − | 0.0585215i | ||||
\(599\) | −31.5111 | −1.28751 | −0.643754 | − | 0.765232i | \(-0.722624\pi\) | ||||
−0.643754 | + | 0.765232i | \(0.722624\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.28520 | 0.297169 | 0.148585 | − | 0.988900i | \(-0.452528\pi\) | ||||
0.148585 | + | 0.988900i | \(0.452528\pi\) | |||||||
\(602\) | 8.22339 | + | 23.1606i | 0.335160 | + | 0.943954i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −27.3012 | + | 22.1838i | −1.11087 | + | 0.902646i | ||||
\(605\) | 5.19805 | + | 6.07451i | 0.211331 | + | 0.246964i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −28.1836 | + | 28.1836i | −1.14394 | + | 1.14394i | −0.156213 | + | 0.987723i | \(0.549929\pi\) |
−0.987723 | + | 0.156213i | \(0.950071\pi\) | |||||||
\(608\) | −2.69804 | − | 19.8518i | −0.109420 | − | 0.805098i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 14.9615 | − | 26.0210i | 0.605775 | − | 1.05356i | ||||
\(611\) | 16.2176 | 0.656095 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 24.9782 | − | 24.9782i | 1.00886 | − | 1.00886i | 0.00890069 | − | 0.999960i | \(-0.497167\pi\) |
0.999960 | − | 0.00890069i | \(-0.00283322\pi\) | |||||||
\(614\) | −11.0859 | − | 5.27633i | −0.447391 | − | 0.212935i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.93430 | + | 16.2083i | 0.158517 | + | 0.653050i | ||||
\(617\) | 19.7928 | + | 19.7928i | 0.796830 | + | 0.796830i | 0.982594 | − | 0.185764i | \(-0.0594761\pi\) |
−0.185764 | + | 0.982594i | \(0.559476\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −25.0717 | −1.00772 | −0.503859 | − | 0.863786i | \(-0.668087\pi\) | ||||
−0.503859 | + | 0.863786i | \(0.668087\pi\) | |||||||
\(620\) | −34.7349 | − | 6.34378i | −1.39499 | − | 0.254772i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.18049 | + | 17.4069i | 0.247815 | + | 0.697953i | ||||
\(623\) | 15.6417 | − | 15.6417i | 0.626672 | − | 0.626672i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.8054 | − | 7.63561i | −0.952216 | − | 0.305424i | ||||
\(626\) | 39.7495 | + | 18.9188i | 1.58871 | + | 0.756146i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.3919 | − | 2.21221i | −0.853631 | − | 0.0882769i | ||||
\(629\) | 21.5432i | 0.858984i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.42730 | 0.255867 | 0.127933 | − | 0.991783i | \(-0.459166\pi\) | ||||
0.127933 | + | 0.991783i | \(0.459166\pi\) | |||||||
\(632\) | −30.8138 | − | 18.7765i | −1.22571 | − | 0.746890i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.40270 | + | 11.3514i | −0.214569 | + | 0.450822i | ||||
\(635\) | 2.88919 | + | 0.224641i | 0.114654 | + | 0.00891460i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.98662 | − | 1.98662i | −0.0787126 | − | 0.0787126i | ||||
\(638\) | 6.60481 | + | 18.6019i | 0.261487 | + | 0.736458i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.15224 | + | 25.2720i | −0.0455462 | + | 0.998962i | ||||
\(641\) | − | 28.9552i | − | 1.14366i | −0.820372 | − | 0.571830i | \(-0.806234\pi\) | ||
0.820372 | − | 0.571830i | \(-0.193766\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.0962 | − | 20.0962i | 0.792517 | − | 0.792517i | −0.189385 | − | 0.981903i | \(-0.560650\pi\) |
0.981903 | + | 0.189385i | \(0.0606495\pi\) | |||||||
\(644\) | 2.41663 | + | 2.97410i | 0.0952286 | + | 0.117196i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 16.3431 | + | 7.77849i | 0.643011 | + | 0.306041i | ||||
\(647\) | −27.5740 | − | 27.5740i | −1.08405 | − | 1.08405i | −0.996128 | − | 0.0879193i | \(-0.971978\pi\) |
−0.0879193 | − | 0.996128i | \(-0.528022\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 6.85034i | − | 0.268899i | ||||||
\(650\) | −7.08105 | − | 4.83833i | −0.277742 | − | 0.189775i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.48347 | − | 24.0150i | 0.0972603 | − | 0.940500i | ||||
\(653\) | 17.8261 | + | 17.8261i | 0.697590 | + | 0.697590i | 0.963890 | − | 0.266300i | \(-0.0858013\pi\) |
−0.266300 | + | 0.963890i | \(0.585801\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −28.4010 | − | 33.1898i | −1.10972 | − | 1.29683i | ||||
\(656\) | 48.5792 | + | 10.1561i | 1.89670 | + | 0.396529i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −38.5656 | + | 13.6931i | −1.50344 | + | 0.533812i | ||||
\(659\) | 37.7533i | 1.47066i | 0.677709 | + | 0.735331i | \(0.262973\pi\) | ||||
−0.677709 | + | 0.735331i | \(0.737027\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 6.03049i | − | 0.234559i | −0.993099 | − | 0.117279i | \(-0.962583\pi\) | ||
0.993099 | − | 0.117279i | \(-0.0374173\pi\) | |||||||
\(662\) | 12.4322 | + | 35.0144i | 0.483192 | + | 1.36087i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 13.9187 | − | 3.37854i | 0.540151 | − | 0.131113i | ||||
\(665\) | −17.0869 | − | 1.32855i | −0.662603 | − | 0.0515188i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.20701 | + | 3.20701i | 0.124176 | + | 0.124176i | ||||
\(668\) | −17.1906 | − | 1.77774i | −0.665126 | − | 0.0687830i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11.5505 | + | 42.8020i | 0.446233 | + | 1.65358i | ||||
\(671\) | − | 25.8632i | − | 0.998439i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.75403 | + | 3.75403i | 0.144707 | + | 0.144707i | 0.775749 | − | 0.631042i | \(-0.217372\pi\) |
−0.631042 | + | 0.775749i | \(0.717372\pi\) | |||||||
\(674\) | 14.1699 | − | 29.7718i | 0.545803 | − | 1.14677i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 14.5408 | + | 17.8951i | 0.559262 | + | 0.688274i | ||||
\(677\) | 12.0579 | − | 12.0579i | 0.463421 | − | 0.463421i | −0.436354 | − | 0.899775i | \(-0.643730\pi\) |
0.899775 | + | 0.436354i | \(0.143730\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.97052i | 0.152375i | ||||||||
\(680\) | −18.5366 | − | 13.3701i | −0.710848 | − | 0.512721i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −28.6711 | + | 10.1800i | −1.09787 | + | 0.389811i | ||||
\(683\) | −18.0083 | − | 18.0083i | −0.689068 | − | 0.689068i | 0.272958 | − | 0.962026i | \(-0.411998\pi\) |
−0.962026 | + | 0.272958i | \(0.911998\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.87922 | + | 24.1694i | −0.0718015 | + | 0.923467i | ||||
\(686\) | 25.7463 | + | 12.2539i | 0.982997 | + | 0.467857i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 17.5843 | + | 26.8802i | 0.670396 | + | 1.02480i | ||||
\(689\) | −11.0917 | −0.422560 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 37.0052i | − | 1.40774i | −0.710327 | − | 0.703872i | \(-0.751453\pi\) | ||
0.710327 | − | 0.703872i | \(-0.248547\pi\) | |||||||
\(692\) | −1.67039 | − | 0.172740i | −0.0634985 | − | 0.00656660i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −2.45486 | + | 5.15782i | −0.0931853 | + | 0.195788i | ||||
\(695\) | −21.4015 | − | 25.0102i | −0.811807 | − | 0.948689i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −31.7046 | + | 31.7046i | −1.20090 | + | 1.20090i | ||||
\(698\) | −25.7499 | + | 9.14276i | −0.974648 | + | 0.346058i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.9239 | + | 5.52678i | 0.790850 | + | 0.208893i | ||||
\(701\) | −10.8810 | −0.410968 | −0.205484 | − | 0.978660i | \(-0.565877\pi\) | ||||
−0.205484 | + | 0.978660i | \(0.565877\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 14.9292 | + | 14.9292i | 0.563067 | + | 0.563067i | ||||
\(704\) | 9.99361 | + | 19.3726i | 0.376648 | + | 0.730133i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −14.6284 | + | 30.7351i | −0.550545 | + | 1.15673i | ||||
\(707\) | 8.91179 | − | 8.91179i | 0.335162 | − | 0.335162i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.9836 | 0.675389 | 0.337695 | − | 0.941256i | \(-0.390353\pi\) | ||||
0.337695 | + | 0.941256i | \(0.390353\pi\) | |||||||
\(710\) | 3.46259 | − | 6.02212i | 0.129949 | − | 0.226006i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 15.0438 | − | 24.6881i | 0.563791 | − | 0.925226i | ||||
\(713\) | −4.94295 | + | 4.94295i | −0.185115 | + | 0.185115i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.36749 | − | 0.572838i | −0.275529 | − | 0.0214229i | ||||
\(716\) | 14.3700 | + | 17.6849i | 0.537031 | + | 0.660915i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 19.4854 | − | 6.91848i | 0.727188 | − | 0.258195i | ||||
\(719\) | −32.0959 | −1.19698 | −0.598488 | − | 0.801132i | \(-0.704231\pi\) | ||||
−0.598488 | + | 0.801132i | \(0.704231\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.43759 | −0.351474 | ||||||||
\(722\) | −8.60530 | + | 3.05540i | −0.320256 | + | 0.113710i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 9.22483 | + | 11.3528i | 0.342838 | + | 0.421925i | ||||
\(725\) | 25.3052 | + | 3.95900i | 0.939811 | + | 0.147033i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.2813 | − | 15.2813i | 0.566754 | − | 0.566754i | −0.364464 | − | 0.931218i | \(-0.618748\pi\) |
0.931218 | + | 0.364464i | \(0.118748\pi\) | |||||||
\(728\) | 6.33977 | + | 3.86317i | 0.234967 | + | 0.143179i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 6.65629 | + | 24.6659i | 0.246360 | + | 0.912925i | ||||
\(731\) | −29.0192 | −1.07332 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −25.4494 | + | 25.4494i | −0.939996 | + | 0.939996i | −0.998299 | − | 0.0583028i | \(-0.981431\pi\) |
0.0583028 | + | 0.998299i | \(0.481431\pi\) | |||||||
\(734\) | −7.06280 | + | 14.8394i | −0.260693 | + | 0.547732i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.98615 | + | 3.03228i | 0.146931 | + | 0.111771i | ||||
\(737\) | 27.0115 | + | 27.0115i | 0.994980 | + | 0.994980i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −23.6936 | −0.871584 | −0.435792 | − | 0.900047i | \(-0.643532\pi\) | ||||
−0.435792 | + | 0.900047i | \(0.643532\pi\) | |||||||
\(740\) | −15.1581 | − | 21.9320i | −0.557222 | − | 0.806236i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 26.3761 | − | 9.36509i | 0.968296 | − | 0.343803i | ||||
\(743\) | 10.4630 | − | 10.4630i | 0.383852 | − | 0.383852i | −0.488636 | − | 0.872488i | \(-0.662505\pi\) |
0.872488 | + | 0.488636i | \(0.162505\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −26.5546 | + | 22.7232i | −0.972886 | + | 0.832513i | ||||
\(746\) | −8.20804 | + | 17.2456i | −0.300518 | + | 0.631407i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −19.5890 | − | 2.02577i | −0.716246 | − | 0.0740695i | ||||
\(749\) | 19.8836i | 0.726532i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 51.4858 | 1.87874 | 0.939372 | − | 0.342899i | \(-0.111409\pi\) | ||||
0.939372 | + | 0.342899i | \(0.111409\pi\) | |||||||
\(752\) | −44.7593 | + | 29.2804i | −1.63220 | + | 1.06775i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.93369 | + | 3.77604i | 0.288928 | + | 0.137515i | ||||
\(755\) | 25.5710 | + | 29.8826i | 0.930623 | + | 1.08754i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.4014 | − | 20.4014i | −0.741501 | − | 0.741501i | 0.231366 | − | 0.972867i | \(-0.425681\pi\) |
−0.972867 | + | 0.231366i | \(0.925681\pi\) | |||||||
\(758\) | 12.9437 | − | 4.59579i | 0.470136 | − | 0.166926i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −22.1111 | + | 3.58035i | −0.802053 | + | 0.129873i | ||||
\(761\) | 13.3989i | 0.485709i | 0.970063 | + | 0.242855i | \(0.0780838\pi\) | ||||
−0.970063 | + | 0.242855i | \(0.921916\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −8.27933 | + | 8.27933i | −0.299732 | + | 0.299732i | ||||
\(764\) | −1.67561 | − | 2.06215i | −0.0606216 | − | 0.0746059i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.41302 | + | 7.17097i | −0.123317 | + | 0.259098i | ||||
\(767\) | −2.15611 | − | 2.15611i | −0.0778526 | − | 0.0778526i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 15.5493i | − | 0.560721i | −0.959895 | − | 0.280361i | \(-0.909546\pi\) | ||
0.959895 | − | 0.280361i | \(-0.0904540\pi\) | |||||||
\(770\) | 18.0036 | − | 4.85841i | 0.648804 | − | 0.175085i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −32.4573 | − | 3.35653i | −1.16817 | − | 0.120804i | ||||
\(773\) | −4.70360 | − | 4.70360i | −0.169177 | − | 0.169177i | 0.617441 | − | 0.786617i | \(-0.288170\pi\) |
−0.786617 | + | 0.617441i | \(0.788170\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.10198 | + | 39.0028i | −0.219190 | + | 1.40102i | ||||
\(776\) | 1.22406 | + | 5.04281i | 0.0439412 | + | 0.181026i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7.52401 | − | 21.1908i | −0.269749 | − | 0.759727i | ||||
\(779\) | 43.9420i | 1.57439i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 5.98561i | − | 0.214182i | ||||||
\(782\) | −4.26398 | + | 1.51397i | −0.152480 | + | 0.0541395i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.06966 | + | 1.89613i | 0.323917 | + | 0.0677189i | ||||
\(785\) | −1.86388 | + | 23.9721i | −0.0665248 | + | 0.855601i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.45088 | + | 7.45088i | 0.265595 | + | 0.265595i | 0.827322 | − | 0.561727i | \(-0.189863\pi\) |
−0.561727 | + | 0.827322i | \(0.689863\pi\) | |||||||
\(788\) | −4.71330 | + | 45.5772i | −0.167904 | + | 1.62362i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −20.1093 | + | 34.9739i | −0.715456 | + | 1.24432i | ||||
\(791\) | 1.09810i | 0.0390439i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.14032 | − | 8.14032i | −0.289071 | − | 0.289071i | ||||
\(794\) | 31.1252 | + | 14.8140i | 1.10459 | + | 0.525730i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.68584 | + | 9.45883i | 0.272417 | + | 0.335259i | ||||
\(797\) | 27.5898 | − | 27.5898i | 0.977280 | − | 0.977280i | −0.0224677 | − | 0.999748i | \(-0.507152\pi\) |
0.999748 | + | 0.0224677i | \(0.00715228\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 48.3211i | − | 1.70948i | ||||||
\(800\) | 28.2786 | + | 0.568782i | 0.999798 | + | 0.0201095i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.21058 | − | 17.4916i | −0.219303 | − | 0.617651i | ||||
\(803\) | 15.5661 | + | 15.5661i | 0.549317 | + | 0.549317i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.25531 | − | 2.78562i | 0.114735 | − | 0.0981802i | ||||
\(806\) | −5.81999 | + | 12.2282i | −0.205000 | + | 0.430719i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.57115 | − | 14.0659i | 0.301532 | − | 0.494838i | ||||
\(809\) | 9.93002 | 0.349121 | 0.174560 | − | 0.984646i | \(-0.444150\pi\) | ||||
0.174560 | + | 0.984646i | \(0.444150\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.144213i | 0.00506400i | 0.999997 | + | 0.00253200i | \(0.000805962\pi\) | ||||
−0.999997 | + | 0.00253200i | \(0.999194\pi\) | |||||||
\(812\) | −22.0546 | − | 2.28074i | −0.773964 | − | 0.0800383i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −20.7426 | − | 9.87244i | −0.727028 | − | 0.346029i | ||||
\(815\) | −26.9115 | − | 2.09243i | −0.942670 | − | 0.0732946i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −20.1100 | + | 20.1100i | −0.703562 | + | 0.703562i | ||||
\(818\) | 5.34003 | + | 15.0398i | 0.186710 | + | 0.525854i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.96900 | − | 54.5846i | 0.348133 | − | 1.90618i | ||||
\(821\) | 20.3654 | 0.710757 | 0.355379 | − | 0.934722i | \(-0.384352\pi\) | ||||
0.355379 | + | 0.934722i | \(0.384352\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −31.7594 | − | 31.7594i | −1.10706 | − | 1.10706i | −0.993535 | − | 0.113529i | \(-0.963784\pi\) |
−0.113529 | − | 0.993535i | \(-0.536216\pi\) | |||||||
\(824\) | −11.9863 | + | 2.90949i | −0.417564 | + | 0.101357i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.94771 | + | 3.30676i | 0.241742 | + | 0.115057i | ||||
\(827\) | −28.5251 | + | 28.5251i | −0.991916 | + | 0.991916i | −0.999968 | − | 0.00805118i | \(-0.997437\pi\) |
0.00805118 | + | 0.999968i | \(0.497437\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −54.4189 | −1.89005 | −0.945024 | − | 0.327002i | \(-0.893962\pi\) | ||||
−0.945024 | + | 0.327002i | \(0.893962\pi\) | |||||||
\(830\) | −4.17212 | − | 15.4604i | −0.144816 | − | 0.536639i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 9.24287 | + | 2.95200i | 0.320439 | + | 0.102342i | ||||
\(833\) | −5.91921 | + | 5.91921i | −0.205088 | + | 0.205088i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.49782 | + | 19.2641i | −0.0518343 | + | 0.666661i | ||||
\(836\) | −14.9788 | + | 12.1712i | −0.518054 | + | 0.420949i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2.24891 | + | 6.33388i | 0.0776872 | + | 0.218800i | ||||
\(839\) | 47.3060 | 1.63318 | 0.816592 | − | 0.577215i | \(-0.195861\pi\) | ||||
0.816592 | + | 0.577215i | \(0.195861\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.75894 | 0.0951360 | ||||||||
\(842\) | −0.134074 | − | 0.377609i | −0.00462049 | − | 0.0130133i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −31.4449 | − | 38.6987i | −1.08238 | − | 1.33206i | ||||
\(845\) | 19.5871 | − | 16.7610i | 0.673818 | − | 0.576596i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.47147 | + | 5.47147i | −0.188002 | + | 0.188002i | ||||
\(848\) | 30.6121 | − | 20.0257i | 1.05123 | − | 0.687684i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −14.4160 | + | 21.0983i | −0.494465 | + | 0.723666i | ||||
\(851\) | −5.27809 | −0.180931 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14.9083 | − | 14.9083i | 0.510449 | − | 0.510449i | −0.404215 | − | 0.914664i | \(-0.632455\pi\) |
0.914664 | + | 0.404215i | \(0.132455\pi\) | |||||||
\(854\) | 26.2309 | + | 12.4846i | 0.897601 | + | 0.427213i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.12987 | + | 25.2535i | 0.209515 | + | 0.863146i | ||||
\(857\) | −6.64085 | − | 6.64085i | −0.226847 | − | 0.226847i | 0.584527 | − | 0.811374i | \(-0.301280\pi\) |
−0.811374 | + | 0.584527i | \(0.801280\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.27984 | 0.111907 | 0.0559534 | − | 0.998433i | \(-0.482180\pi\) | ||||
0.0559534 | + | 0.998433i | \(0.482180\pi\) | |||||||
\(860\) | 29.5429 | − | 20.4183i | 1.00741 | − | 0.696259i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.77929 | − | 13.4605i | −0.162783 | − | 0.458467i | ||||
\(863\) | 11.7285 | − | 11.7285i | 0.399243 | − | 0.399243i | −0.478723 | − | 0.877966i | \(-0.658900\pi\) |
0.877966 | + | 0.478723i | \(0.158900\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.145541 | + | 1.87186i | −0.00494854 | + | 0.0636451i | ||||
\(866\) | 10.2075 | + | 4.85824i | 0.346864 | + | 0.165090i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.51529 | − | 33.9926i | 0.119317 | − | 1.15378i | ||||
\(869\) | 34.7619i | 1.17922i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 17.0034 | 0.576139 | ||||||||
\(872\) | −7.96286 | + | 13.0677i | −0.269656 | + | 0.442527i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.90573 | + | 4.00406i | −0.0644624 | + | 0.135440i | ||||
\(875\) | 5.58180 | − | 23.5433i | 0.188699 | − | 0.795910i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 27.6401 | + | 27.6401i | 0.933339 | + | 0.933339i | 0.997913 | − | 0.0645744i | \(-0.0205690\pi\) |
−0.0645744 | + | 0.997913i | \(0.520569\pi\) | |||||||
\(878\) | −8.05874 | − | 22.6968i | −0.271969 | − | 0.765981i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 21.3679 | − | 11.7208i | 0.720312 | − | 0.395107i | ||||
\(881\) | 37.9900i | 1.27991i | 0.768410 | + | 0.639957i | \(0.221048\pi\) | ||||
−0.768410 | + | 0.639957i | \(0.778952\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 33.6777 | − | 33.6777i | 1.13335 | − | 1.13335i | 0.143729 | − | 0.989617i | \(-0.454091\pi\) |
0.989617 | − | 0.143729i | \(-0.0459095\pi\) | |||||||
\(884\) | −6.80315 | + | 5.52795i | −0.228815 | + | 0.185925i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −19.6595 | − | 9.35694i | −0.660475 | − | 0.314353i | ||||
\(887\) | 1.17366 | + | 1.17366i | 0.0394078 | + | 0.0394078i | 0.726536 | − | 0.687128i | \(-0.241129\pi\) |
−0.687128 | + | 0.726536i | \(0.741129\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.80471i | 0.0940671i | ||||||||
\(890\) | −28.0212 | − | 16.1116i | −0.939274 | − | 0.540063i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −15.2649 | − | 1.57859i | −0.511106 | − | 0.0528552i | ||||
\(893\) | −33.4861 | − | 33.4861i | −1.12057 | − | 1.12057i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 19.3570 | − | 16.5641i | 0.647034 | − | 0.553676i | ||||
\(896\) | −24.4720 | + | 0.784206i | −0.817554 | + | 0.0261985i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −13.7946 | + | 4.89792i | −0.460332 | + | 0.163446i | ||||
\(899\) | − | 40.4452i | − | 1.34892i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 33.0482i | 1.10099i | ||||||||
\(902\) | −15.9974 | − | 45.0555i | −0.532655 | − | 1.50018i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.338530 | + | 1.39465i | 0.0112593 | + | 0.0463855i | ||||
\(905\) | 12.4263 | − | 10.6333i | 0.413064 | − | 0.353464i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 16.4248 | + | 16.4248i | 0.545377 | + | 0.545377i | 0.925100 | − | 0.379723i | \(-0.123981\pi\) |
−0.379723 | + | 0.925100i | \(0.623981\pi\) | |||||||
\(908\) | 2.37262 | − | 22.9430i | 0.0787381 | − | 0.761391i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.13738 | − | 7.19569i | 0.137153 | − | 0.238535i | ||||
\(911\) | − | 32.3497i | − | 1.07179i | −0.844284 | − | 0.535897i | \(-0.819974\pi\) | ||
0.844284 | − | 0.535897i | \(-0.180026\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.75676 | − | 9.75676i | −0.322902 | − | 0.322902i | ||||
\(914\) | 5.48755 | − | 11.5297i | 0.181512 | − | 0.381368i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −22.5601 | + | 18.3314i | −0.745407 | + | 0.605686i | ||||
\(917\) | 29.8950 | − | 29.8950i | 0.987219 | − | 0.987219i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 5.60588i | − | 0.184921i | −0.995716 | − | 0.0924605i | \(-0.970527\pi\) | ||
0.995716 | − | 0.0924605i | \(-0.0294732\pi\) | |||||||
\(920\) | 3.27568 | − | 4.54148i | 0.107996 | − | 0.149728i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −8.09950 | + | 2.87581i | −0.266743 | + | 0.0947097i | ||||
\(923\) | −1.88394 | − | 1.88394i | −0.0620106 | − | 0.0620106i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −24.0815 | + | 17.5658i | −0.791794 | + | 0.577559i | ||||
\(926\) | 40.1582 | + | 19.1133i | 1.31968 | + | 0.628101i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −28.7138 | + | 3.90246i | −0.942578 | + | 0.128105i | ||||
\(929\) | 34.7413 | 1.13983 | 0.569913 | − | 0.821705i | \(-0.306977\pi\) | ||||
0.569913 | + | 0.821705i | \(0.306977\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.20391i | 0.268872i | ||||||||
\(932\) | 0.699642 | − | 6.76548i | 0.0229175 | − | 0.221611i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.1275 | − | 31.7838i | 0.494986 | − | 1.04000i | ||||
\(935\) | −1.70680 | + | 21.9518i | −0.0558182 | + | 0.717899i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.80471 | − | 5.80471i | 0.189632 | − | 0.189632i | −0.605905 | − | 0.795537i | \(-0.707189\pi\) |
0.795537 | + | 0.605905i | \(0.207189\pi\) | |||||||
\(938\) | −40.4342 | + | 14.3566i | −1.32022 | + | 0.468759i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 33.9994 | + | 49.1931i | 1.10894 | + | 1.60450i | ||||
\(941\) | −23.7893 | −0.775510 | −0.387755 | − | 0.921762i | \(-0.626749\pi\) | ||||
−0.387755 | + | 0.921762i | \(0.626749\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.76765 | − | 7.76765i | −0.252949 | − | 0.252949i | ||||
\(944\) | 9.84346 | + | 2.05790i | 0.320377 | + | 0.0669789i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.2984 | − | 27.9408i | 0.432369 | − | 0.908435i | ||||
\(947\) | −12.4008 | + | 12.4008i | −0.402972 | + | 0.402972i | −0.879279 | − | 0.476307i | \(-0.841975\pi\) |
0.476307 | + | 0.879279i | \(0.341975\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.79872 | 0.318080 | ||||||||
\(950\) | 4.63077 | + | 24.6111i | 0.150242 | + | 0.798488i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 11.5105 | − | 18.8896i | 0.373057 | − | 0.612215i | ||||
\(953\) | 4.46081 | − | 4.46081i | 0.144500 | − | 0.144500i | −0.631156 | − | 0.775656i | \(-0.717419\pi\) |
0.775656 | + | 0.631156i | \(0.217419\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.25713 | + | 1.93146i | −0.0730390 | + | 0.0625006i | ||||
\(956\) | 10.5543 | − | 8.57599i | 0.341351 | − | 0.277367i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.30025 | − | 1.17179i | 0.106626 | − | 0.0378587i | ||||
\(959\) | −23.4627 | −0.757651 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 31.3380 | 1.01090 | ||||||||
\(962\) | −9.63593 | + | 3.42133i | −0.310675 | + | 0.110308i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 25.1621 | − | 20.4457i | 0.810418 | − | 0.658511i | ||||
\(965\) | −2.82801 | + | 36.3722i | −0.0910369 | + | 1.17086i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.74162 | − | 2.74162i | 0.0881645 | − | 0.0881645i | −0.661649 | − | 0.749814i | \(-0.730143\pi\) |
0.749814 | + | 0.661649i | \(0.230143\pi\) | |||||||
\(968\) | −5.26233 | + | 8.63590i | −0.169138 | + | 0.277568i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.60138 | − | 1.51158i | 0.179850 | − | 0.0485338i | ||||
\(971\) | 10.5455 | 0.338421 | 0.169210 | − | 0.985580i | \(-0.445878\pi\) | ||||
0.169210 | + | 0.985580i | \(0.445878\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.5273 | − | 22.5273i | 0.722193 | − | 0.722193i | ||||
\(974\) | 10.6351 | − | 22.3451i | 0.340771 | − | 0.715982i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 37.1637 | + | 7.76954i | 1.18958 | + | 0.248697i | ||||
\(977\) | 13.3372 | + | 13.3372i | 0.426695 | + | 0.426695i | 0.887501 | − | 0.460806i | \(-0.152440\pi\) |
−0.460806 | + | 0.887501i | \(0.652440\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −27.8513 | −0.890133 | ||||||||
\(980\) | 1.86120 | − | 10.1909i | 0.0594538 | − | 0.325535i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −49.5167 | + | 17.5814i | −1.58014 | + | 0.561045i | ||||
\(983\) | −3.84412 | + | 3.84412i | −0.122608 | + | 0.122608i | −0.765749 | − | 0.643140i | \(-0.777631\pi\) |
0.643140 | + | 0.765749i | \(0.277631\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 51.0745 | + | 3.97115i | 1.62737 | + | 0.126531i | ||||
\(986\) | 11.2509 | − | 23.6388i | 0.358300 | − | 0.752812i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.883702 | + | 8.54533i | −0.0281143 | + | 0.271863i | ||||
\(989\) | − | 7.10972i | − | 0.226076i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 34.9248 | 1.10942 | 0.554711 | − | 0.832043i | \(-0.312829\pi\) | ||||
0.554711 | + | 0.832043i | \(0.312829\pi\) | |||||||
\(992\) | −6.01485 | − | 44.2565i | −0.190972 | − | 1.40514i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 6.07069 | + | 2.88934i | 0.192551 | + | 0.0916443i | ||||
\(995\) | 10.3532 | − | 8.85937i | 0.328218 | − | 0.280861i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.0217 | − | 11.0217i | −0.349062 | − | 0.349062i | 0.510698 | − | 0.859760i | \(-0.329387\pi\) |
−0.859760 | + | 0.510698i | \(0.829387\pi\) | |||||||
\(998\) | 46.4638 | − | 16.4975i | 1.47079 | − | 0.522218i | ||||
\(999\) | 0 | 0 |
(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 | 360.2.x.a.53.22 | yes | 48 | |
3.2 | odd | 2 | inner | 360.2.x.a.53.3 | ✓ | 48 | |
4.3 | odd | 2 | 1440.2.bj.a.593.5 | 48 | |||
5.2 | odd | 4 | inner | 360.2.x.a.197.15 | yes | 48 | |
8.3 | odd | 2 | 1440.2.bj.a.593.19 | 48 | |||
8.5 | even | 2 | inner | 360.2.x.a.53.10 | yes | 48 | |
12.11 | even | 2 | 1440.2.bj.a.593.20 | 48 | |||
15.2 | even | 4 | inner | 360.2.x.a.197.10 | yes | 48 | |
20.7 | even | 4 | 1440.2.bj.a.17.6 | 48 | |||
24.5 | odd | 2 | inner | 360.2.x.a.53.15 | yes | 48 | |
24.11 | even | 2 | 1440.2.bj.a.593.6 | 48 | |||
40.27 | even | 4 | 1440.2.bj.a.17.20 | 48 | |||
40.37 | odd | 4 | inner | 360.2.x.a.197.3 | yes | 48 | |
60.47 | odd | 4 | 1440.2.bj.a.17.19 | 48 | |||
120.77 | even | 4 | inner | 360.2.x.a.197.22 | yes | 48 | |
120.107 | odd | 4 | 1440.2.bj.a.17.5 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.x.a.53.3 | ✓ | 48 | 3.2 | odd | 2 | inner | |
360.2.x.a.53.10 | yes | 48 | 8.5 | even | 2 | inner | |
360.2.x.a.53.15 | yes | 48 | 24.5 | odd | 2 | inner | |
360.2.x.a.53.22 | yes | 48 | 1.1 | even | 1 | trivial | |
360.2.x.a.197.3 | yes | 48 | 40.37 | odd | 4 | inner | |
360.2.x.a.197.10 | yes | 48 | 15.2 | even | 4 | inner | |
360.2.x.a.197.15 | yes | 48 | 5.2 | odd | 4 | inner | |
360.2.x.a.197.22 | yes | 48 | 120.77 | even | 4 | inner | |
1440.2.bj.a.17.5 | 48 | 120.107 | odd | 4 | |||
1440.2.bj.a.17.6 | 48 | 20.7 | even | 4 | |||
1440.2.bj.a.17.19 | 48 | 60.47 | odd | 4 | |||
1440.2.bj.a.17.20 | 48 | 40.27 | even | 4 | |||
1440.2.bj.a.593.5 | 48 | 4.3 | odd | 2 | |||
1440.2.bj.a.593.6 | 48 | 24.11 | even | 2 | |||
1440.2.bj.a.593.19 | 48 | 8.3 | odd | 2 | |||
1440.2.bj.a.593.20 | 48 | 12.11 | even | 2 |