Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,3,Mod(3,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.h (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.871936845953\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 32.3 |
Dual form | 32.3.h.a.11.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.46783 | + | 1.35848i | −0.733914 | + | 0.679242i | ||||
\(3\) | 2.10187 | − | 5.07436i | 0.700624 | − | 1.69145i | −0.0215732 | − | 0.999767i | \(-0.506867\pi\) |
0.722197 | − | 0.691688i | \(-0.243133\pi\) | |||||||
\(4\) | 0.309042 | − | 3.98804i | 0.0772606 | − | 0.997011i | ||||
\(5\) | 1.74699 | + | 4.21761i | 0.349399 | + | 0.843523i | 0.996691 | + | 0.0812812i | \(0.0259012\pi\) |
−0.647293 | + | 0.762242i | \(0.724099\pi\) | |||||||
\(6\) | 3.80826 | + | 10.3037i | 0.634710 | + | 1.71728i | ||||
\(7\) | −0.392379 | − | 0.392379i | −0.0560541 | − | 0.0560541i | 0.678524 | − | 0.734578i | \(-0.262620\pi\) |
−0.734578 | + | 0.678524i | \(0.762620\pi\) | |||||||
\(8\) | 4.96407 | + | 6.27359i | 0.620509 | + | 0.784199i | ||||
\(9\) | −14.9674 | − | 14.9674i | −1.66304 | − | 1.66304i | ||||
\(10\) | −8.29385 | − | 3.81747i | −0.829385 | − | 0.381747i | ||||
\(11\) | 2.90924 | + | 7.02353i | 0.264477 | + | 0.638503i | 0.999205 | − | 0.0398581i | \(-0.0126906\pi\) |
−0.734729 | + | 0.678361i | \(0.762691\pi\) | |||||||
\(12\) | −19.5872 | − | 9.95055i | −1.63227 | − | 0.829212i | ||||
\(13\) | −4.50555 | + | 10.8774i | −0.346581 | + | 0.836720i | 0.650438 | + | 0.759559i | \(0.274585\pi\) |
−0.997019 | + | 0.0771604i | \(0.975415\pi\) | |||||||
\(14\) | 1.10898 | + | 0.0429045i | 0.0792132 | + | 0.00306461i | ||||
\(15\) | 25.0737 | 1.67158 | ||||||||
\(16\) | −15.8090 | − | 2.46495i | −0.988062 | − | 0.154059i | ||||
\(17\) | 10.5402i | 0.620012i | 0.950735 | + | 0.310006i | \(0.100331\pi\) | ||||
−0.950735 | + | 0.310006i | \(0.899669\pi\) | |||||||
\(18\) | 42.3024 | + | 1.63660i | 2.35014 | + | 0.0909223i | ||||
\(19\) | −1.88707 | − | 0.781651i | −0.0993196 | − | 0.0411395i | 0.332470 | − | 0.943114i | \(-0.392118\pi\) |
−0.431790 | + | 0.901974i | \(0.642118\pi\) | |||||||
\(20\) | 17.3599 | − | 5.66366i | 0.867996 | − | 0.283183i | ||||
\(21\) | −2.81580 | + | 1.16634i | −0.134086 | + | 0.0555401i | ||||
\(22\) | −13.8116 | − | 6.35718i | −0.627801 | − | 0.288963i | ||||
\(23\) | −0.445453 | + | 0.445453i | −0.0193675 | + | 0.0193675i | −0.716724 | − | 0.697357i | \(-0.754359\pi\) |
0.697357 | + | 0.716724i | \(0.254359\pi\) | |||||||
\(24\) | 42.2683 | − | 12.0032i | 1.76118 | − | 0.500135i | ||||
\(25\) | 2.94139 | − | 2.94139i | 0.117656 | − | 0.117656i | ||||
\(26\) | −8.16334 | − | 22.0868i | −0.313975 | − | 0.849493i | ||||
\(27\) | −61.7400 | + | 25.5735i | −2.28667 | + | 0.947168i | ||||
\(28\) | −1.68608 | + | 1.44356i | −0.0602173 | + | 0.0515558i | ||||
\(29\) | 0.741814 | + | 0.307270i | 0.0255798 | + | 0.0105955i | 0.395437 | − | 0.918493i | \(-0.370593\pi\) |
−0.369857 | + | 0.929089i | \(0.620593\pi\) | |||||||
\(30\) | −36.8038 | + | 34.0622i | −1.22679 | + | 1.13541i | ||||
\(31\) | − | 47.6947i | − | 1.53854i | −0.638924 | − | 0.769270i | \(-0.720620\pi\) | ||
0.638924 | − | 0.769270i | \(-0.279380\pi\) | |||||||
\(32\) | 26.5535 | − | 17.8581i | 0.829796 | − | 0.558067i | ||||
\(33\) | 41.7548 | 1.26530 | ||||||||
\(34\) | −14.3187 | − | 15.4712i | −0.421138 | − | 0.455036i | ||||
\(35\) | 0.969419 | − | 2.34038i | 0.0276977 | − | 0.0668681i | ||||
\(36\) | −64.3160 | + | 55.0649i | −1.78656 | + | 1.52958i | ||||
\(37\) | 14.5080 | + | 35.0255i | 0.392109 | + | 0.946635i | 0.989480 | + | 0.144670i | \(0.0462120\pi\) |
−0.597371 | + | 0.801965i | \(0.703788\pi\) | |||||||
\(38\) | 3.83176 | − | 1.41623i | 0.100836 | − | 0.0372692i | ||||
\(39\) | 45.7256 | + | 45.7256i | 1.17245 | + | 1.17245i | ||||
\(40\) | −17.7874 | + | 31.8965i | −0.444685 | + | 0.797412i | ||||
\(41\) | −11.3365 | − | 11.3365i | −0.276501 | − | 0.276501i | 0.555209 | − | 0.831711i | \(-0.312638\pi\) |
−0.831711 | + | 0.555209i | \(0.812638\pi\) | |||||||
\(42\) | 2.54866 | − | 5.53721i | 0.0606823 | − | 0.131838i | ||||
\(43\) | −14.6421 | − | 35.3493i | −0.340515 | − | 0.822076i | −0.997664 | − | 0.0683149i | \(-0.978238\pi\) |
0.657149 | − | 0.753761i | \(-0.271762\pi\) | |||||||
\(44\) | 28.9092 | − | 9.43161i | 0.657028 | − | 0.214355i | ||||
\(45\) | 36.9787 | − | 89.2744i | 0.821748 | − | 1.98388i | ||||
\(46\) | 0.0487080 | − | 1.25899i | 0.00105887 | − | 0.0273694i | ||||
\(47\) | −80.5164 | −1.71312 | −0.856558 | − | 0.516051i | \(-0.827402\pi\) | ||||
−0.856558 | + | 0.516051i | \(0.827402\pi\) | |||||||
\(48\) | −45.7365 | + | 75.0396i | −0.952844 | + | 1.56332i | ||||
\(49\) | − | 48.6921i | − | 0.993716i | ||||||
\(50\) | −0.321625 | + | 8.31328i | −0.00643251 | + | 0.166266i | ||||
\(51\) | 53.4849 | + | 22.1542i | 1.04872 | + | 0.434395i | ||||
\(52\) | 41.9870 | + | 21.3299i | 0.807442 | + | 0.410190i | ||||
\(53\) | −66.6128 | + | 27.5919i | −1.25685 | + | 0.520602i | −0.908940 | − | 0.416927i | \(-0.863107\pi\) |
−0.347905 | + | 0.937530i | \(0.613107\pi\) | |||||||
\(54\) | 55.8825 | − | 121.410i | 1.03486 | − | 2.24834i | ||||
\(55\) | −24.5401 | + | 24.5401i | −0.446184 | + | 0.446184i | ||||
\(56\) | 0.513828 | − | 4.40942i | 0.00917551 | − | 0.0787396i | ||||
\(57\) | −7.93277 | + | 7.93277i | −0.139171 | + | 0.139171i | ||||
\(58\) | −1.50628 | + | 0.556724i | −0.0259703 | + | 0.00959869i | ||||
\(59\) | 65.0706 | − | 26.9531i | 1.10289 | − | 0.456833i | 0.244408 | − | 0.969673i | \(-0.421406\pi\) |
0.858484 | + | 0.512840i | \(0.171406\pi\) | |||||||
\(60\) | 7.74883 | − | 99.9949i | 0.129147 | − | 1.66658i | ||||
\(61\) | 87.4322 | + | 36.2156i | 1.43331 | + | 0.593698i | 0.958168 | − | 0.286208i | \(-0.0923948\pi\) |
0.475147 | + | 0.879906i | \(0.342395\pi\) | |||||||
\(62\) | 64.7925 | + | 70.0077i | 1.04504 | + | 1.12916i | ||||
\(63\) | 11.7457i | 0.186440i | ||||||||
\(64\) | −14.7160 | + | 62.2852i | −0.229937 | + | 0.973205i | ||||
\(65\) | −53.7476 | −0.826887 | ||||||||
\(66\) | −61.2889 | + | 56.7232i | −0.928620 | + | 0.859443i | ||||
\(67\) | −7.12379 | + | 17.1984i | −0.106325 | + | 0.256692i | −0.968084 | − | 0.250627i | \(-0.919363\pi\) |
0.861759 | + | 0.507319i | \(0.169363\pi\) | |||||||
\(68\) | 42.0348 | + | 3.25737i | 0.618159 | + | 0.0479025i | ||||
\(69\) | 1.32411 | + | 3.19668i | 0.0191900 | + | 0.0463287i | ||||
\(70\) | 1.75643 | + | 4.75222i | 0.0250919 | + | 0.0678889i | ||||
\(71\) | −14.8103 | − | 14.8103i | −0.208596 | − | 0.208596i | 0.595074 | − | 0.803671i | \(-0.297123\pi\) |
−0.803671 | + | 0.595074i | \(0.797123\pi\) | |||||||
\(72\) | 19.6001 | − | 168.198i | 0.272223 | − | 2.33609i | ||||
\(73\) | 18.6720 | + | 18.6720i | 0.255781 | + | 0.255781i | 0.823336 | − | 0.567555i | \(-0.192110\pi\) |
−0.567555 | + | 0.823336i | \(0.692110\pi\) | |||||||
\(74\) | −68.8769 | − | 31.7025i | −0.930769 | − | 0.428412i | ||||
\(75\) | −8.74326 | − | 21.1081i | −0.116577 | − | 0.281441i | ||||
\(76\) | −3.70044 | + | 7.28417i | −0.0486901 | + | 0.0958443i | ||||
\(77\) | 1.61436 | − | 3.89741i | 0.0209657 | − | 0.0506157i | ||||
\(78\) | −129.235 | − | 4.99985i | −1.65686 | − | 0.0641007i | ||||
\(79\) | −36.2398 | −0.458732 | −0.229366 | − | 0.973340i | \(-0.573665\pi\) | ||||
−0.229366 | + | 0.973340i | \(0.573665\pi\) | |||||||
\(80\) | −17.2220 | − | 70.9824i | −0.215275 | − | 0.887281i | ||||
\(81\) | 176.540i | 2.17951i | ||||||||
\(82\) | 32.0406 | + | 1.23959i | 0.390739 | + | 0.0151170i | ||||
\(83\) | 27.0868 | + | 11.2197i | 0.326347 | + | 0.135177i | 0.539841 | − | 0.841767i | \(-0.318484\pi\) |
−0.213494 | + | 0.976944i | \(0.568484\pi\) | |||||||
\(84\) | 3.78122 | + | 11.5900i | 0.0450146 | + | 0.137976i | ||||
\(85\) | −44.4545 | + | 18.4137i | −0.522994 | + | 0.216631i | ||||
\(86\) | 69.5135 | + | 31.9955i | 0.808297 | + | 0.372041i | ||||
\(87\) | 3.11840 | − | 3.11840i | 0.0358436 | − | 0.0358436i | ||||
\(88\) | −29.6211 | + | 53.1167i | −0.336603 | + | 0.603599i | ||||
\(89\) | −56.4944 | + | 56.4944i | −0.634769 | + | 0.634769i | −0.949260 | − | 0.314491i | \(-0.898166\pi\) |
0.314491 | + | 0.949260i | \(0.398166\pi\) | |||||||
\(90\) | 66.9995 | + | 181.274i | 0.744439 | + | 2.01416i | ||||
\(91\) | 6.03592 | − | 2.50016i | 0.0663288 | − | 0.0274743i | ||||
\(92\) | 1.63882 | + | 1.91415i | 0.0178133 | + | 0.0208060i | ||||
\(93\) | −242.020 | − | 100.248i | −2.60237 | − | 1.07794i | ||||
\(94\) | 118.184 | − | 109.380i | 1.25728 | − | 1.16362i | ||||
\(95\) | − | 9.32448i | − | 0.0981525i | ||||||
\(96\) | −34.8067 | − | 172.278i | −0.362570 | − | 1.79456i | ||||
\(97\) | 158.579 | 1.63484 | 0.817419 | − | 0.576043i | \(-0.195404\pi\) | ||||
0.817419 | + | 0.576043i | \(0.195404\pi\) | |||||||
\(98\) | 66.1474 | + | 71.4716i | 0.674974 | + | 0.729302i | ||||
\(99\) | 61.5800 | − | 148.667i | 0.622021 | − | 1.50169i | ||||
\(100\) | −10.8214 | − | 12.6394i | −0.108214 | − | 0.126394i | ||||
\(101\) | −53.8420 | − | 129.986i | −0.533089 | − | 1.28699i | −0.929468 | − | 0.368903i | \(-0.879733\pi\) |
0.396379 | − | 0.918087i | \(-0.370267\pi\) | |||||||
\(102\) | −108.603 | + | 40.1398i | −1.06473 | + | 0.393528i | ||||
\(103\) | 9.94607 | + | 9.94607i | 0.0965638 | + | 0.0965638i | 0.753738 | − | 0.657175i | \(-0.228249\pi\) |
−0.657175 | + | 0.753738i | \(0.728249\pi\) | |||||||
\(104\) | −90.6060 | + | 25.7300i | −0.871211 | + | 0.247404i | ||||
\(105\) | −9.83837 | − | 9.83837i | −0.0936987 | − | 0.0936987i | ||||
\(106\) | 60.2930 | − | 130.993i | 0.568802 | − | 1.23578i | ||||
\(107\) | 68.8129 | + | 166.129i | 0.643111 | + | 1.55261i | 0.822461 | + | 0.568822i | \(0.192601\pi\) |
−0.179350 | + | 0.983785i | \(0.557399\pi\) | |||||||
\(108\) | 82.9081 | + | 254.125i | 0.767668 | + | 2.35301i | ||||
\(109\) | 3.61301 | − | 8.72257i | 0.0331469 | − | 0.0800236i | −0.906439 | − | 0.422336i | \(-0.861210\pi\) |
0.939586 | + | 0.342313i | \(0.111210\pi\) | |||||||
\(110\) | 2.68333 | − | 69.3580i | 0.0243939 | − | 0.630528i | ||||
\(111\) | 208.226 | 1.87591 | ||||||||
\(112\) | 5.23591 | + | 7.17030i | 0.0467492 | + | 0.0640205i | ||||
\(113\) | − | 85.8345i | − | 0.759598i | −0.925069 | − | 0.379799i | \(-0.875993\pi\) | ||
0.925069 | − | 0.379799i | \(-0.124007\pi\) | |||||||
\(114\) | 0.867406 | − | 22.4205i | 0.00760883 | − | 0.196671i | ||||
\(115\) | −2.65695 | − | 1.10055i | −0.0231039 | − | 0.00956997i | ||||
\(116\) | 1.45466 | − | 2.86343i | 0.0125401 | − | 0.0246847i | ||||
\(117\) | 230.241 | − | 95.3691i | 1.96788 | − | 0.815121i | ||||
\(118\) | −58.8971 | + | 127.960i | −0.499128 | + | 1.08441i | ||||
\(119\) | 4.13575 | − | 4.13575i | 0.0347542 | − | 0.0347542i | ||||
\(120\) | 124.467 | + | 157.302i | 1.03723 | + | 1.31085i | ||||
\(121\) | 44.6936 | − | 44.6936i | 0.369369 | − | 0.369369i | ||||
\(122\) | −177.534 | + | 65.6169i | −1.45520 | + | 0.537844i | ||||
\(123\) | −81.3537 | + | 33.6978i | −0.661412 | + | 0.273966i | ||||
\(124\) | −190.209 | − | 14.7397i | −1.53394 | − | 0.118869i | ||||
\(125\) | 122.985 | + | 50.9419i | 0.983877 | + | 0.407535i | ||||
\(126\) | −15.9564 | − | 17.2407i | −0.126638 | − | 0.136831i | ||||
\(127\) | − | 17.2873i | − | 0.136120i | −0.997681 | − | 0.0680601i | \(-0.978319\pi\) | ||
0.997681 | − | 0.0680601i | \(-0.0216810\pi\) | |||||||
\(128\) | −63.0128 | − | 111.415i | −0.492288 | − | 0.870432i | ||||
\(129\) | −210.151 | −1.62908 | ||||||||
\(130\) | 78.8923 | − | 73.0153i | 0.606864 | − | 0.561656i | ||||
\(131\) | −40.2223 | + | 97.1053i | −0.307041 | + | 0.741262i | 0.692758 | + | 0.721171i | \(0.256396\pi\) |
−0.999798 | + | 0.0200911i | \(0.993604\pi\) | |||||||
\(132\) | 12.9040 | − | 166.520i | 0.0977576 | − | 1.26152i | ||||
\(133\) | 0.433744 | + | 1.04715i | 0.00326123 | + | 0.00787331i | ||||
\(134\) | −12.9072 | − | 34.9218i | −0.0963223 | − | 0.260610i | ||||
\(135\) | −215.719 | − | 215.719i | −1.59792 | − | 1.59792i | ||||
\(136\) | −66.1250 | + | 52.3224i | −0.486213 | + | 0.384723i | ||||
\(137\) | 25.5351 | + | 25.5351i | 0.186387 | + | 0.186387i | 0.794132 | − | 0.607745i | \(-0.207926\pi\) |
−0.607745 | + | 0.794132i | \(0.707926\pi\) | |||||||
\(138\) | −6.28620 | − | 2.89340i | −0.0455522 | − | 0.0209666i | ||||
\(139\) | −52.2202 | − | 126.071i | −0.375685 | − | 0.906984i | −0.992764 | − | 0.120083i | \(-0.961684\pi\) |
0.617079 | − | 0.786901i | \(-0.288316\pi\) | |||||||
\(140\) | −9.03396 | − | 4.58936i | −0.0645283 | − | 0.0327812i | ||||
\(141\) | −169.235 | + | 408.570i | −1.20025 | + | 2.89766i | ||||
\(142\) | 41.8587 | + | 1.61943i | 0.294779 | + | 0.0114045i | ||||
\(143\) | −89.5052 | −0.625910 | ||||||||
\(144\) | 199.725 | + | 273.513i | 1.38698 | + | 1.89939i | ||||
\(145\) | 3.66548i | 0.0252792i | ||||||||
\(146\) | −52.7730 | − | 2.04169i | −0.361459 | − | 0.0139842i | ||||
\(147\) | −247.081 | − | 102.344i | −1.68083 | − | 0.696221i | ||||
\(148\) | 144.167 | − | 47.0343i | 0.974100 | − | 0.317799i | ||||
\(149\) | 151.298 | − | 62.6697i | 1.01542 | − | 0.420602i | 0.187993 | − | 0.982170i | \(-0.439802\pi\) |
0.827430 | + | 0.561569i | \(0.189802\pi\) | |||||||
\(150\) | 41.5086 | + | 19.1055i | 0.276724 | + | 0.127370i | ||||
\(151\) | −123.292 | + | 123.292i | −0.816505 | + | 0.816505i | −0.985600 | − | 0.169095i | \(-0.945916\pi\) |
0.169095 | + | 0.985600i | \(0.445916\pi\) | |||||||
\(152\) | −4.46380 | − | 15.7189i | −0.0293671 | − | 0.103414i | ||||
\(153\) | 157.759 | − | 157.759i | 1.03111 | − | 1.03111i | ||||
\(154\) | 2.92496 | + | 7.91381i | 0.0189933 | + | 0.0513883i | ||||
\(155\) | 201.158 | − | 83.3223i | 1.29779 | − | 0.537563i | ||||
\(156\) | 196.487 | − | 168.225i | 1.25953 | − | 1.07836i | ||||
\(157\) | 107.069 | + | 44.3494i | 0.681968 | + | 0.282480i | 0.696649 | − | 0.717412i | \(-0.254673\pi\) |
−0.0146813 | + | 0.999892i | \(0.504673\pi\) | |||||||
\(158\) | 53.1939 | − | 49.2312i | 0.336670 | − | 0.311590i | ||||
\(159\) | 396.012i | 2.49064i | ||||||||
\(160\) | 121.707 | + | 80.7943i | 0.760671 | + | 0.504964i | ||||
\(161\) | 0.349573 | 0.00217126 | ||||||||
\(162\) | −239.827 | − | 259.131i | −1.48041 | − | 1.59957i | ||||
\(163\) | −48.6441 | + | 117.437i | −0.298430 | + | 0.720474i | 0.701539 | + | 0.712631i | \(0.252497\pi\) |
−0.999969 | + | 0.00784306i | \(0.997503\pi\) | |||||||
\(164\) | −48.7141 | + | 41.7072i | −0.297037 | + | 0.254312i | ||||
\(165\) | 72.9453 | + | 176.106i | 0.442093 | + | 1.06731i | ||||
\(166\) | −55.0006 | + | 20.3284i | −0.331329 | + | 0.122460i | ||||
\(167\) | 88.6392 | + | 88.6392i | 0.530774 | + | 0.530774i | 0.920803 | − | 0.390029i | \(-0.127535\pi\) |
−0.390029 | + | 0.920803i | \(0.627535\pi\) | |||||||
\(168\) | −21.2950 | − | 11.8754i | −0.126756 | − | 0.0706868i | ||||
\(169\) | 21.4841 | + | 21.4841i | 0.127125 | + | 0.127125i | ||||
\(170\) | 40.2370 | − | 87.4189i | 0.236688 | − | 0.514229i | ||||
\(171\) | 16.5452 | + | 39.9437i | 0.0967558 | + | 0.233589i | ||||
\(172\) | −145.499 | + | 47.4691i | −0.845927 | + | 0.275983i | ||||
\(173\) | 87.2836 | − | 210.721i | 0.504530 | − | 1.21804i | −0.442463 | − | 0.896787i | \(-0.645895\pi\) |
0.946993 | − | 0.321255i | \(-0.104105\pi\) | |||||||
\(174\) | −0.340980 | + | 8.81356i | −0.00195966 | + | 0.0506527i | ||||
\(175\) | −2.30827 | −0.0131901 | ||||||||
\(176\) | −28.6795 | − | 118.206i | −0.162952 | − | 0.671625i | ||||
\(177\) | − | 386.844i | − | 2.18556i | ||||||
\(178\) | 6.17737 | − | 159.671i | 0.0347043 | − | 0.897028i | ||||
\(179\) | −5.53118 | − | 2.29109i | −0.0309005 | − | 0.0127994i | 0.367180 | − | 0.930150i | \(-0.380323\pi\) |
−0.398080 | + | 0.917351i | \(0.630323\pi\) | |||||||
\(180\) | −344.602 | − | 175.062i | −1.91446 | − | 0.972567i | ||||
\(181\) | −273.836 | + | 113.427i | −1.51291 | + | 0.626666i | −0.976155 | − | 0.217075i | \(-0.930348\pi\) |
−0.536751 | + | 0.843741i | \(0.680348\pi\) | |||||||
\(182\) | −5.46327 | + | 11.8695i | −0.0300180 | + | 0.0652171i | ||||
\(183\) | 367.542 | − | 367.542i | 2.00843 | − | 2.00843i | ||||
\(184\) | −5.00586 | − | 0.583331i | −0.0272057 | − | 0.00317028i | ||||
\(185\) | −122.379 | + | 122.379i | −0.661506 | + | 0.661506i | ||||
\(186\) | 491.430 | − | 181.634i | 2.64210 | − | 0.976526i | ||||
\(187\) | −74.0295 | + | 30.6640i | −0.395880 | + | 0.163979i | ||||
\(188\) | −24.8830 | + | 321.103i | −0.132356 | + | 1.70800i | ||||
\(189\) | 34.2600 | + | 14.1909i | 0.181270 | + | 0.0750843i | ||||
\(190\) | 12.6672 | + | 13.6867i | 0.0666693 | + | 0.0720355i | ||||
\(191\) | − | 140.503i | − | 0.735620i | −0.929901 | − | 0.367810i | \(-0.880108\pi\) | ||
0.929901 | − | 0.367810i | \(-0.119892\pi\) | |||||||
\(192\) | 285.126 | + | 205.590i | 1.48503 | + | 1.07078i | ||||
\(193\) | −159.719 | −0.827560 | −0.413780 | − | 0.910377i | \(-0.635792\pi\) | ||||
−0.413780 | + | 0.910377i | \(0.635792\pi\) | |||||||
\(194\) | −232.767 | + | 215.427i | −1.19983 | + | 1.11045i | ||||
\(195\) | −112.971 | + | 272.735i | −0.579336 | + | 1.39864i | ||||
\(196\) | −194.186 | − | 15.0479i | −0.990746 | − | 0.0767751i | ||||
\(197\) | −23.3511 | − | 56.3745i | −0.118533 | − | 0.286165i | 0.853466 | − | 0.521149i | \(-0.174496\pi\) |
−0.971999 | + | 0.234984i | \(0.924496\pi\) | |||||||
\(198\) | 111.573 | + | 301.874i | 0.563501 | + | 1.52461i | ||||
\(199\) | 138.741 | + | 138.741i | 0.697191 | + | 0.697191i | 0.963804 | − | 0.266613i | \(-0.0859044\pi\) |
−0.266613 | + | 0.963804i | \(0.585904\pi\) | |||||||
\(200\) | 33.0543 | + | 3.85181i | 0.165272 | + | 0.0192591i | ||||
\(201\) | 72.2974 | + | 72.2974i | 0.359689 | + | 0.359689i | ||||
\(202\) | 255.615 | + | 117.654i | 1.26542 | + | 0.582444i | ||||
\(203\) | −0.170506 | − | 0.411638i | −0.000839931 | − | 0.00202777i | ||||
\(204\) | 104.881 | − | 206.453i | 0.514122 | − | 1.01203i | ||||
\(205\) | 28.0083 | − | 67.6180i | 0.136626 | − | 0.329844i | ||||
\(206\) | −28.1107 | − | 1.08755i | −0.136460 | − | 0.00527937i | ||||
\(207\) | 13.3345 | 0.0644180 | ||||||||
\(208\) | 98.0403 | − | 160.854i | 0.471348 | − | 0.773337i | ||||
\(209\) | − | 15.5279i | − | 0.0742963i | ||||||
\(210\) | 27.8063 | + | 1.07577i | 0.132411 | + | 0.00512273i | ||||
\(211\) | −194.276 | − | 80.4718i | −0.920740 | − | 0.381383i | −0.128582 | − | 0.991699i | \(-0.541043\pi\) |
−0.792158 | + | 0.610316i | \(0.791043\pi\) | |||||||
\(212\) | 89.4516 | + | 274.182i | 0.421942 | + | 1.29331i | ||||
\(213\) | −106.283 | + | 44.0237i | −0.498979 | + | 0.206684i | ||||
\(214\) | −326.689 | − | 150.368i | −1.52658 | − | 0.702653i | ||||
\(215\) | 123.510 | − | 123.510i | 0.574464 | − | 0.574464i | ||||
\(216\) | −466.920 | − | 260.383i | −2.16167 | − | 1.20548i | ||||
\(217\) | −18.7144 | + | 18.7144i | −0.0862414 | + | 0.0862414i | ||||
\(218\) | 6.54620 | + | 17.7115i | 0.0300284 | + | 0.0812452i | ||||
\(219\) | 133.995 | − | 55.5025i | 0.611849 | − | 0.253436i | ||||
\(220\) | 90.2831 | + | 105.451i | 0.410378 | + | 0.479323i | ||||
\(221\) | −114.650 | − | 47.4894i | −0.518776 | − | 0.214884i | ||||
\(222\) | −305.640 | + | 282.872i | −1.37676 | + | 1.27420i | ||||
\(223\) | − | 285.957i | − | 1.28232i | −0.767408 | − | 0.641160i | \(-0.778454\pi\) | ||
0.767408 | − | 0.641160i | \(-0.221546\pi\) | |||||||
\(224\) | −17.4262 | − | 3.41187i | −0.0777954 | − | 0.0152316i | ||||
\(225\) | −88.0496 | −0.391332 | ||||||||
\(226\) | 116.605 | + | 125.990i | 0.515951 | + | 0.557480i | ||||
\(227\) | 8.02885 | − | 19.3834i | 0.0353694 | − | 0.0853893i | −0.905208 | − | 0.424969i | \(-0.860285\pi\) |
0.940577 | + | 0.339580i | \(0.110285\pi\) | |||||||
\(228\) | 29.1847 | + | 34.0878i | 0.128003 | + | 0.149508i | ||||
\(229\) | −66.9028 | − | 161.518i | −0.292152 | − | 0.705317i | 0.707848 | − | 0.706365i | \(-0.249666\pi\) |
−0.999999 | + | 0.00104819i | \(0.999666\pi\) | |||||||
\(230\) | 5.39503 | − | 1.99402i | 0.0234566 | − | 0.00866963i | ||||
\(231\) | −16.3837 | − | 16.3837i | −0.0709251 | − | 0.0709251i | ||||
\(232\) | 1.75474 | + | 6.17915i | 0.00756352 | + | 0.0266343i | ||||
\(233\) | 282.286 | + | 282.286i | 1.21153 | + | 1.21153i | 0.970525 | + | 0.241001i | \(0.0774758\pi\) |
0.241001 | + | 0.970525i | \(0.422524\pi\) | |||||||
\(234\) | −208.398 | + | 452.765i | −0.890588 | + | 1.93489i | ||||
\(235\) | −140.662 | − | 339.587i | −0.598560 | − | 1.44505i | ||||
\(236\) | −87.3807 | − | 267.834i | −0.370257 | − | 1.13489i | ||||
\(237\) | −76.1714 | + | 183.894i | −0.321398 | + | 0.775925i | ||||
\(238\) | −0.452223 | + | 11.6889i | −0.00190010 | + | 0.0491131i | ||||
\(239\) | 13.1618 | 0.0550704 | 0.0275352 | − | 0.999621i | \(-0.491234\pi\) | ||||
0.0275352 | + | 0.999621i | \(0.491234\pi\) | |||||||
\(240\) | −396.389 | − | 61.8053i | −1.65162 | − | 0.257522i | ||||
\(241\) | 231.745i | 0.961599i | 0.876830 | + | 0.480800i | \(0.159654\pi\) | ||||
−0.876830 | + | 0.480800i | \(0.840346\pi\) | |||||||
\(242\) | −4.88701 | + | 126.318i | −0.0201943 | + | 0.521976i | ||||
\(243\) | 340.169 | + | 140.903i | 1.39987 | + | 0.579847i | ||||
\(244\) | 171.450 | − | 337.491i | 0.702663 | − | 1.38316i | ||||
\(245\) | 205.364 | − | 85.0647i | 0.838222 | − | 0.347203i | ||||
\(246\) | 73.6354 | − | 159.980i | 0.299331 | − | 0.650327i | ||||
\(247\) | 17.0046 | − | 17.0046i | 0.0688445 | − | 0.0688445i | ||||
\(248\) | 299.217 | − | 236.760i | 1.20652 | − | 0.954678i | ||||
\(249\) | 113.866 | − | 113.866i | 0.457293 | − | 0.457293i | ||||
\(250\) | −249.724 | + | 92.2986i | −0.998896 | + | 0.369194i | ||||
\(251\) | 131.701 | − | 54.5521i | 0.524703 | − | 0.217339i | −0.104578 | − | 0.994517i | \(-0.533349\pi\) |
0.629281 | + | 0.777177i | \(0.283349\pi\) | |||||||
\(252\) | 46.8425 | + | 3.62993i | 0.185883 | + | 0.0144045i | ||||
\(253\) | −4.42459 | − | 1.83272i | −0.0174885 | − | 0.00724397i | ||||
\(254\) | 23.4845 | + | 25.3748i | 0.0924586 | + | 0.0999006i | ||||
\(255\) | 264.282i | 1.03640i | ||||||||
\(256\) | 243.848 | + | 77.9367i | 0.952531 | + | 0.304440i | ||||
\(257\) | −70.0955 | −0.272745 | −0.136373 | − | 0.990658i | \(-0.543544\pi\) | ||||
−0.136373 | + | 0.990658i | \(0.543544\pi\) | |||||||
\(258\) | 308.466 | − | 285.487i | 1.19560 | − | 1.10654i | ||||
\(259\) | 8.05061 | − | 19.4359i | 0.0310834 | − | 0.0750420i | ||||
\(260\) | −16.6103 | + | 214.348i | −0.0638858 | + | 0.824415i | ||||
\(261\) | −6.50399 | − | 15.7020i | −0.0249195 | − | 0.0601610i | ||||
\(262\) | −72.8765 | − | 197.175i | −0.278155 | − | 0.752577i | ||||
\(263\) | −245.883 | − | 245.883i | −0.934916 | − | 0.934916i | 0.0630921 | − | 0.998008i | \(-0.479904\pi\) |
−0.998008 | + | 0.0630921i | \(0.979904\pi\) | |||||||
\(264\) | 207.274 | + | 261.953i | 0.785128 | + | 0.992245i | ||||
\(265\) | −232.744 | − | 232.744i | −0.878280 | − | 0.878280i | ||||
\(266\) | −2.05920 | − | 0.947803i | −0.00774135 | − | 0.00356317i | ||||
\(267\) | 167.929 | + | 405.417i | 0.628949 | + | 1.51842i | ||||
\(268\) | 66.3862 | + | 33.7250i | 0.247710 | + | 0.125840i | ||||
\(269\) | 7.33716 | − | 17.7135i | 0.0272757 | − | 0.0658493i | −0.909655 | − | 0.415365i | \(-0.863654\pi\) |
0.936931 | + | 0.349516i | \(0.113654\pi\) | |||||||
\(270\) | 609.688 | + | 23.5877i | 2.25811 | + | 0.0873619i | ||||
\(271\) | 327.600 | 1.20886 | 0.604429 | − | 0.796659i | \(-0.293401\pi\) | ||||
0.604429 | + | 0.796659i | \(0.293401\pi\) | |||||||
\(272\) | 25.9811 | − | 166.630i | 0.0955187 | − | 0.612610i | ||||
\(273\) | − | 35.8835i | − | 0.131441i | ||||||
\(274\) | −72.1701 | − | 2.79213i | −0.263394 | − | 0.0101902i | ||||
\(275\) | 29.2161 | + | 12.1017i | 0.106240 | + | 0.0440063i | ||||
\(276\) | 13.1577 | − | 4.29269i | 0.0476728 | − | 0.0155532i | ||||
\(277\) | −31.9345 | + | 13.2277i | −0.115287 | + | 0.0477535i | −0.439581 | − | 0.898203i | \(-0.644873\pi\) |
0.324294 | + | 0.945956i | \(0.394873\pi\) | |||||||
\(278\) | 247.916 | + | 114.110i | 0.891783 | + | 0.410468i | ||||
\(279\) | −713.864 | + | 713.864i | −2.55865 | + | 2.55865i | ||||
\(280\) | 19.4949 | − | 5.53609i | 0.0696246 | − | 0.0197718i | ||||
\(281\) | −263.413 | + | 263.413i | −0.937413 | + | 0.937413i | −0.998154 | − | 0.0607409i | \(-0.980654\pi\) |
0.0607409 | + | 0.998154i | \(0.480654\pi\) | |||||||
\(282\) | −306.627 | − | 829.614i | −1.08733 | − | 2.94189i | ||||
\(283\) | −268.113 | + | 111.056i | −0.947397 | + | 0.392425i | −0.802252 | − | 0.596986i | \(-0.796365\pi\) |
−0.145145 | + | 0.989410i | \(0.546365\pi\) | |||||||
\(284\) | −63.6413 | + | 54.4873i | −0.224089 | + | 0.191857i | ||||
\(285\) | −47.3158 | − | 19.5989i | −0.166020 | − | 0.0687679i | ||||
\(286\) | 131.378 | − | 121.591i | 0.459365 | − | 0.425145i | ||||
\(287\) | 8.89644i | 0.0309980i | ||||||||
\(288\) | −664.724 | − | 130.146i | −2.30807 | − | 0.451897i | ||||
\(289\) | 177.904 | 0.615585 | ||||||||
\(290\) | −4.97950 | − | 5.38030i | −0.0171707 | − | 0.0185528i | ||||
\(291\) | 333.313 | − | 804.689i | 1.14541 | − | 2.76526i | ||||
\(292\) | 80.2353 | − | 68.6944i | 0.274778 | − | 0.235255i | ||||
\(293\) | 44.7772 | + | 108.102i | 0.152823 | + | 0.368948i | 0.981687 | − | 0.190503i | \(-0.0610120\pi\) |
−0.828863 | + | 0.559451i | \(0.811012\pi\) | |||||||
\(294\) | 501.706 | − | 185.432i | 1.70648 | − | 0.630721i | ||||
\(295\) | 227.356 | + | 227.356i | 0.770698 | + | 0.770698i | ||||
\(296\) | −147.717 | + | 264.887i | −0.499043 | + | 0.894887i | ||||
\(297\) | −359.233 | − | 359.233i | −1.20954 | − | 1.20954i | ||||
\(298\) | −136.944 | + | 297.524i | −0.459543 | + | 0.998404i | ||||
\(299\) | −2.83834 | − | 6.85237i | −0.00949279 | − | 0.0229176i | ||||
\(300\) | −86.8820 | + | 28.3452i | −0.289607 | + | 0.0944840i | ||||
\(301\) | −8.12503 | + | 19.6155i | −0.0269934 | + | 0.0651679i | ||||
\(302\) | 13.4814 | − | 348.462i | 0.0446403 | − | 1.15385i | ||||
\(303\) | −772.765 | −2.55038 | ||||||||
\(304\) | 27.9060 | + | 17.0087i | 0.0917960 | + | 0.0559495i | ||||
\(305\) | 432.024i | 1.41647i | ||||||||
\(306\) | −17.2501 | + | 445.876i | −0.0563730 | + | 1.45711i | ||||
\(307\) | 430.497 | + | 178.318i | 1.40227 | + | 0.580839i | 0.950340 | − | 0.311215i | \(-0.100736\pi\) |
0.451930 | + | 0.892054i | \(0.350736\pi\) | |||||||
\(308\) | −15.0441 | − | 7.64260i | −0.0488446 | − | 0.0248136i | ||||
\(309\) | 71.3754 | − | 29.5646i | 0.230988 | − | 0.0956784i | ||||
\(310\) | −182.073 | + | 395.573i | −0.587333 | + | 1.27604i | ||||
\(311\) | −61.3250 | + | 61.3250i | −0.197187 | + | 0.197187i | −0.798793 | − | 0.601606i | \(-0.794528\pi\) |
0.601606 | + | 0.798793i | \(0.294528\pi\) | |||||||
\(312\) | −59.8787 | + | 513.849i | −0.191919 | + | 1.64695i | ||||
\(313\) | 129.308 | − | 129.308i | 0.413124 | − | 0.413124i | −0.469701 | − | 0.882826i | \(-0.655638\pi\) |
0.882826 | + | 0.469701i | \(0.155638\pi\) | |||||||
\(314\) | −217.407 | + | 80.3541i | −0.692379 | + | 0.255905i | ||||
\(315\) | −49.5390 | + | 20.5197i | −0.157267 | + | 0.0651420i | ||||
\(316\) | −11.1996 | + | 144.526i | −0.0354419 | + | 0.457361i | ||||
\(317\) | −286.711 | − | 118.760i | −0.904452 | − | 0.374636i | −0.118522 | − | 0.992951i | \(-0.537816\pi\) |
−0.785930 | + | 0.618315i | \(0.787816\pi\) | |||||||
\(318\) | −537.976 | − | 581.278i | −1.69175 | − | 1.82792i | ||||
\(319\) | 6.10408i | 0.0191350i | ||||||||
\(320\) | −288.403 | + | 46.7454i | −0.901261 | + | 0.146079i | ||||
\(321\) | 987.635 | 3.07674 | ||||||||
\(322\) | −0.513113 | + | 0.474889i | −0.00159352 | + | 0.00147481i | ||||
\(323\) | 8.23877 | − | 19.8901i | 0.0255070 | − | 0.0615794i | ||||
\(324\) | 704.050 | + | 54.5584i | 2.17299 | + | 0.168390i | ||||
\(325\) | 18.7420 | + | 45.2471i | 0.0576676 | + | 0.139222i | ||||
\(326\) | −88.1354 | − | 238.460i | −0.270354 | − | 0.731472i | ||||
\(327\) | −36.6674 | − | 36.6674i | −0.112133 | − | 0.112133i | ||||
\(328\) | 14.8455 | − | 127.396i | 0.0452606 | − | 0.388403i | ||||
\(329\) | 31.5929 | + | 31.5929i | 0.0960271 | + | 0.0960271i | ||||
\(330\) | −346.308 | − | 159.398i | −1.04942 | − | 0.483024i | ||||
\(331\) | 123.164 | + | 297.345i | 0.372098 | + | 0.898324i | 0.993395 | + | 0.114748i | \(0.0366061\pi\) |
−0.621297 | + | 0.783575i | \(0.713394\pi\) | |||||||
\(332\) | 53.1158 | − | 104.556i | 0.159987 | − | 0.314928i | ||||
\(333\) | 307.092 | − | 741.386i | 0.922198 | − | 2.22638i | ||||
\(334\) | −250.522 | − | 9.69223i | −0.750066 | − | 0.0290187i | ||||
\(335\) | −84.9812 | −0.253675 | ||||||||
\(336\) | 47.3899 | − | 11.4979i | 0.141041 | − | 0.0342199i | ||||
\(337\) | 263.653i | 0.782354i | 0.920315 | + | 0.391177i | \(0.127932\pi\) | ||||
−0.920315 | + | 0.391177i | \(0.872068\pi\) | |||||||
\(338\) | −60.7209 | − | 2.34918i | −0.179648 | − | 0.00695023i | ||||
\(339\) | −435.556 | − | 180.413i | −1.28483 | − | 0.532192i | ||||
\(340\) | 59.6962 | + | 182.977i | 0.175577 | + | 0.538168i | ||||
\(341\) | 334.985 | − | 138.755i | 0.982362 | − | 0.406908i | ||||
\(342\) | −78.5485 | − | 36.1541i | −0.229674 | − | 0.105714i | ||||
\(343\) | −38.3323 | + | 38.3323i | −0.111756 | + | 0.111756i | ||||
\(344\) | 149.082 | − | 267.335i | 0.433379 | − | 0.777137i | ||||
\(345\) | −11.1691 | + | 11.1691i | −0.0323743 | + | 0.0323743i | ||||
\(346\) | 158.144 | + | 427.876i | 0.457064 | + | 1.23664i | ||||
\(347\) | −388.417 | + | 160.888i | −1.11936 | + | 0.463653i | −0.864151 | − | 0.503233i | \(-0.832144\pi\) |
−0.255208 | + | 0.966886i | \(0.582144\pi\) | |||||||
\(348\) | −11.4726 | − | 13.4000i | −0.0329672 | − | 0.0385058i | ||||
\(349\) | 448.277 | + | 185.683i | 1.28446 | + | 0.532042i | 0.917330 | − | 0.398127i | \(-0.130340\pi\) |
0.367132 | + | 0.930169i | \(0.380340\pi\) | |||||||
\(350\) | 3.38815 | − | 3.13575i | 0.00968044 | − | 0.00895930i | ||||
\(351\) | − | 786.791i | − | 2.24157i | ||||||
\(352\) | 202.678 | + | 134.546i | 0.575789 | + | 0.382232i | ||||
\(353\) | −106.951 | −0.302976 | −0.151488 | − | 0.988459i | \(-0.548407\pi\) | ||||
−0.151488 | + | 0.988459i | \(0.548407\pi\) | |||||||
\(354\) | 525.522 | + | 567.821i | 1.48452 | + | 1.60401i | ||||
\(355\) | 36.5908 | − | 88.3379i | 0.103073 | − | 0.248839i | ||||
\(356\) | 207.843 | + | 242.761i | 0.583829 | + | 0.681914i | ||||
\(357\) | −12.2935 | − | 29.6791i | −0.0344356 | − | 0.0831348i | ||||
\(358\) | 11.2312 | − | 4.15109i | 0.0313722 | − | 0.0115952i | ||||
\(359\) | −208.761 | − | 208.761i | −0.581508 | − | 0.581508i | 0.353810 | − | 0.935317i | \(-0.384886\pi\) |
−0.935317 | + | 0.353810i | \(0.884886\pi\) | |||||||
\(360\) | 743.636 | − | 211.175i | 2.06566 | − | 0.586598i | ||||
\(361\) | −252.315 | − | 252.315i | −0.698935 | − | 0.698935i | ||||
\(362\) | 247.856 | − | 538.492i | 0.684685 | − | 1.48755i | ||||
\(363\) | −132.852 | − | 320.732i | −0.365982 | − | 0.883559i | ||||
\(364\) | −8.10539 | − | 24.8442i | −0.0222676 | − | 0.0682532i | ||||
\(365\) | −46.1315 | + | 111.371i | −0.126388 | + | 0.305127i | ||||
\(366\) | −40.1888 | + | 1038.79i | −0.109806 | + | 2.83822i | ||||
\(367\) | 711.002 | 1.93734 | 0.968668 | − | 0.248361i | \(-0.0798919\pi\) | ||||
0.968668 | + | 0.248361i | \(0.0798919\pi\) | |||||||
\(368\) | 8.14019 | − | 5.94415i | 0.0221201 | − | 0.0161526i | ||||
\(369\) | 339.356i | 0.919665i | ||||||||
\(370\) | 13.3815 | − | 345.880i | 0.0361661 | − | 0.934811i | ||||
\(371\) | 36.9639 | + | 15.3110i | 0.0996332 | + | 0.0412694i | ||||
\(372\) | −474.589 | + | 934.207i | −1.27578 | + | 2.51131i | ||||
\(373\) | −587.430 | + | 243.321i | −1.57488 | + | 0.652336i | −0.987592 | − | 0.157043i | \(-0.949804\pi\) |
−0.587287 | + | 0.809379i | \(0.699804\pi\) | |||||||
\(374\) | 67.0060 | − | 145.577i | 0.179160 | − | 0.389244i | ||||
\(375\) | 516.995 | − | 516.995i | 1.37865 | − | 1.37865i | ||||
\(376\) | −399.689 | − | 505.128i | −1.06300 | − | 1.34342i | ||||
\(377\) | −6.68456 | + | 6.68456i | −0.0177309 | + | 0.0177309i | ||||
\(378\) | −69.5659 | + | 25.7117i | −0.184037 | + | 0.0680205i | ||||
\(379\) | −34.5203 | + | 14.2988i | −0.0910825 | + | 0.0377276i | −0.427759 | − | 0.903893i | \(-0.640697\pi\) |
0.336677 | + | 0.941620i | \(0.390697\pi\) | |||||||
\(380\) | −37.1864 | − | 2.88166i | −0.0978591 | − | 0.00758332i | ||||
\(381\) | −87.7220 | − | 36.3356i | −0.230241 | − | 0.0953691i | ||||
\(382\) | 190.872 | + | 206.235i | 0.499664 | + | 0.539882i | ||||
\(383\) | 347.623i | 0.907631i | 0.891096 | + | 0.453815i | \(0.149937\pi\) | ||||
−0.891096 | + | 0.453815i | \(0.850063\pi\) | |||||||
\(384\) | −697.807 | + | 85.5695i | −1.81721 | + | 0.222837i | ||||
\(385\) | 19.2580 | 0.0500209 | ||||||||
\(386\) | 234.440 | − | 216.976i | 0.607359 | − | 0.562114i | ||||
\(387\) | −309.931 | + | 748.239i | −0.800855 | + | 1.93343i | ||||
\(388\) | 49.0077 | − | 632.421i | 0.126309 | − | 1.62995i | ||||
\(389\) | −60.7529 | − | 146.670i | −0.156177 | − | 0.377045i | 0.826352 | − | 0.563154i | \(-0.190412\pi\) |
−0.982529 | + | 0.186109i | \(0.940412\pi\) | |||||||
\(390\) | −204.685 | − | 553.797i | −0.524833 | − | 1.41999i | ||||
\(391\) | −4.69517 | − | 4.69517i | −0.0120081 | − | 0.0120081i | ||||
\(392\) | 305.474 | − | 241.711i | 0.779271 | − | 0.616610i | ||||
\(393\) | 408.205 | + | 408.205i | 1.03869 | + | 1.03869i | ||||
\(394\) | 110.859 | + | 51.0260i | 0.281368 | + | 0.129508i | ||||
\(395\) | −63.3107 | − | 152.846i | −0.160280 | − | 0.386951i | ||||
\(396\) | −573.861 | − | 291.528i | −1.44914 | − | 0.736183i | ||||
\(397\) | 179.460 | − | 433.255i | 0.452041 | − | 1.09132i | −0.519505 | − | 0.854468i | \(-0.673883\pi\) |
0.971545 | − | 0.236855i | \(-0.0761165\pi\) | |||||||
\(398\) | −392.126 | − | 15.1706i | −0.985240 | − | 0.0381171i | ||||
\(399\) | 6.22529 | 0.0156022 | ||||||||
\(400\) | −53.7507 | + | 39.2500i | −0.134377 | + | 0.0981250i | ||||
\(401\) | − | 680.550i | − | 1.69713i | −0.529089 | − | 0.848566i | \(-0.677466\pi\) | ||
0.529089 | − | 0.848566i | \(-0.322534\pi\) | |||||||
\(402\) | −204.335 | − | 7.90535i | −0.508297 | − | 0.0196650i | ||||
\(403\) | 518.792 | + | 214.891i | 1.28733 | + | 0.533228i | ||||
\(404\) | −535.029 | + | 174.553i | −1.32433 | + | 0.432062i | ||||
\(405\) | −744.578 | + | 308.414i | −1.83847 | + | 0.761517i | ||||
\(406\) | 0.809477 | + | 0.372584i | 0.00199379 | + | 0.000917696i | ||||
\(407\) | −203.795 | + | 203.795i | −0.500725 | + | 0.500725i | ||||
\(408\) | 126.517 | + | 445.517i | 0.310090 | + | 1.09195i | ||||
\(409\) | 239.915 | − | 239.915i | 0.586589 | − | 0.586589i | −0.350117 | − | 0.936706i | \(-0.613858\pi\) |
0.936706 | + | 0.350117i | \(0.113858\pi\) | |||||||
\(410\) | 50.7466 | + | 137.301i | 0.123772 | + | 0.334879i | ||||
\(411\) | 183.246 | − | 75.9028i | 0.445853 | − | 0.184678i | ||||
\(412\) | 42.7391 | − | 36.5916i | 0.103736 | − | 0.0888146i | ||||
\(413\) | −36.1082 | − | 14.9565i | −0.0874289 | − | 0.0362143i | ||||
\(414\) | −19.5728 | + | 18.1147i | −0.0472773 | + | 0.0437554i | ||||
\(415\) | 133.843i | 0.322512i | ||||||||
\(416\) | 74.6112 | + | 369.292i | 0.179354 | + | 0.887722i | ||||
\(417\) | −749.489 | −1.79734 | ||||||||
\(418\) | 21.0944 | + | 22.7923i | 0.0504652 | + | 0.0545271i | ||||
\(419\) | 33.5102 | − | 80.9009i | 0.0799767 | − | 0.193081i | −0.878833 | − | 0.477129i | \(-0.841678\pi\) |
0.958810 | + | 0.284048i | \(0.0916775\pi\) | |||||||
\(420\) | −42.2763 | + | 36.1954i | −0.100658 | + | 0.0861794i | ||||
\(421\) | 37.2975 | + | 90.0441i | 0.0885926 | + | 0.213882i | 0.961966 | − | 0.273170i | \(-0.0880723\pi\) |
−0.873373 | + | 0.487052i | \(0.838072\pi\) | |||||||
\(422\) | 394.484 | − | 145.802i | 0.934796 | − | 0.345503i | ||||
\(423\) | 1205.12 | + | 1205.12i | 2.84898 | + | 2.84898i | ||||
\(424\) | −503.771 | − | 280.933i | −1.18814 | − | 0.662579i | ||||
\(425\) | 31.0028 | + | 31.0028i | 0.0729479 | + | 0.0729479i | ||||
\(426\) | 96.1991 | − | 209.002i | 0.225820 | − | 0.490616i | ||||
\(427\) | −20.0963 | − | 48.5167i | −0.0470639 | − | 0.113622i | ||||
\(428\) | 683.796 | − | 223.088i | 1.59765 | − | 0.521233i | ||||
\(429\) | −188.128 | + | 454.182i | −0.438527 | + | 1.05870i | ||||
\(430\) | −13.5051 | + | 349.077i | −0.0314073 | + | 0.811808i | ||||
\(431\) | −509.094 | −1.18119 | −0.590596 | − | 0.806967i | \(-0.701107\pi\) | ||||
−0.590596 | + | 0.806967i | \(0.701107\pi\) | |||||||
\(432\) | 1039.08 | − | 252.106i | 2.40529 | − | 0.583578i | ||||
\(433\) | 66.0083i | 0.152444i | 0.997091 | + | 0.0762220i | \(0.0242858\pi\) | ||||
−0.997091 | + | 0.0762220i | \(0.975714\pi\) | |||||||
\(434\) | 2.04632 | − | 52.8927i | 0.00471502 | − | 0.121873i | ||||
\(435\) | 18.6000 | + | 7.70438i | 0.0427586 | + | 0.0177112i | ||||
\(436\) | −33.6694 | − | 17.1045i | −0.0772235 | − | 0.0392305i | ||||
\(437\) | 1.18879 | − | 0.492414i | 0.00272035 | − | 0.00112681i | ||||
\(438\) | −121.282 | + | 263.498i | −0.276900 | + | 0.601593i | ||||
\(439\) | −39.8501 | + | 39.8501i | −0.0907747 | + | 0.0907747i | −0.751036 | − | 0.660261i | \(-0.770446\pi\) |
0.660261 | + | 0.751036i | \(0.270446\pi\) | |||||||
\(440\) | −275.774 | − | 32.1358i | −0.626758 | − | 0.0730360i | ||||
\(441\) | −728.792 | + | 728.792i | −1.65259 | + | 1.65259i | ||||
\(442\) | 232.800 | − | 86.0433i | 0.526696 | − | 0.194668i | ||||
\(443\) | −193.778 | + | 80.2656i | −0.437423 | + | 0.181187i | −0.590517 | − | 0.807025i | \(-0.701076\pi\) |
0.153094 | + | 0.988212i | \(0.451076\pi\) | |||||||
\(444\) | 64.3507 | − | 830.415i | 0.144934 | − | 1.87030i | ||||
\(445\) | −336.967 | − | 139.576i | −0.757229 | − | 0.313655i | ||||
\(446\) | 388.468 | + | 419.736i | 0.871005 | + | 0.941113i | ||||
\(447\) | − | 899.465i | − | 2.01223i | ||||||
\(448\) | 30.2136 | − | 18.6651i | 0.0674410 | − | 0.0416632i | ||||
\(449\) | 124.217 | 0.276652 | 0.138326 | − | 0.990387i | \(-0.455828\pi\) | ||||
0.138326 | + | 0.990387i | \(0.455828\pi\) | |||||||
\(450\) | 129.242 | − | 119.614i | 0.287204 | − | 0.265809i | ||||
\(451\) | 46.6418 | − | 112.603i | 0.103419 | − | 0.249675i | ||||
\(452\) | −342.312 | − | 26.5265i | −0.757327 | − | 0.0586870i | ||||
\(453\) | 366.485 | + | 884.774i | 0.809019 | + | 1.95314i | ||||
\(454\) | 14.5470 | + | 39.3585i | 0.0320419 | + | 0.0866928i | ||||
\(455\) | 21.0894 | + | 21.0894i | 0.0463504 | + | 0.0463504i | ||||
\(456\) | −89.1458 | − | 10.3881i | −0.195495 | − | 0.0227810i | ||||
\(457\) | −573.100 | − | 573.100i | −1.25405 | − | 1.25405i | −0.953889 | − | 0.300159i | \(-0.902960\pi\) |
−0.300159 | − | 0.953889i | \(-0.597040\pi\) | |||||||
\(458\) | 317.621 | + | 146.194i | 0.693495 | + | 0.319200i | ||||
\(459\) | −269.550 | − | 650.752i | −0.587256 | − | 1.41776i | ||||
\(460\) | −5.21014 | + | 10.2559i | −0.0113264 | + | 0.0222955i | ||||
\(461\) | −86.0707 | + | 207.793i | −0.186704 | + | 0.450744i | −0.989321 | − | 0.145750i | \(-0.953440\pi\) |
0.802617 | + | 0.596495i | \(0.203440\pi\) | |||||||
\(462\) | 46.3054 | + | 1.79147i | 0.100228 | + | 0.00387764i | ||||
\(463\) | −555.587 | −1.19997 | −0.599986 | − | 0.800010i | \(-0.704827\pi\) | ||||
−0.599986 | + | 0.800010i | \(0.704827\pi\) | |||||||
\(464\) | −10.9699 | − | 6.68616i | −0.0236421 | − | 0.0144098i | ||||
\(465\) | − | 1195.88i | − | 2.57179i | ||||||
\(466\) | −797.827 | − | 30.8664i | −1.71208 | − | 0.0662370i | ||||
\(467\) | −319.806 | − | 132.468i | −0.684809 | − | 0.283657i | 0.0130269 | − | 0.999915i | \(-0.495853\pi\) |
−0.697835 | + | 0.716258i | \(0.745853\pi\) | |||||||
\(468\) | −309.182 | − | 947.686i | −0.660645 | − | 2.02497i | ||||
\(469\) | 9.54349 | − | 3.95304i | 0.0203486 | − | 0.00842866i | ||||
\(470\) | 667.791 | + | 307.369i | 1.42083 | + | 0.653977i | ||||
\(471\) | 450.090 | − | 450.090i | 0.955606 | − | 0.955606i | ||||
\(472\) | 492.108 | + | 274.429i | 1.04260 | + | 0.581418i | ||||
\(473\) | 205.679 | − | 205.679i | 0.434839 | − | 0.434839i | ||||
\(474\) | −138.011 | − | 373.403i | −0.291162 | − | 0.787769i | ||||
\(475\) | −7.84975 | + | 3.25147i | −0.0165258 | + | 0.00684521i | ||||
\(476\) | −15.2154 | − | 17.7717i | −0.0319652 | − | 0.0373355i | ||||
\(477\) | 1410.00 | + | 584.039i | 2.95597 | + | 1.22440i | ||||
\(478\) | −19.3193 | + | 17.8801i | −0.0404170 | + | 0.0374061i | ||||
\(479\) | 239.576i | 0.500159i | 0.968225 | + | 0.250079i | \(0.0804567\pi\) | ||||
−0.968225 | + | 0.250079i | \(0.919543\pi\) | |||||||
\(480\) | 665.793 | − | 447.769i | 1.38707 | − | 0.932852i | ||||
\(481\) | −446.351 | −0.927965 | ||||||||
\(482\) | −314.822 | − | 340.163i | −0.653159 | − | 0.705732i | ||||
\(483\) | 0.734757 | − | 1.77386i | 0.00152124 | − | 0.00367259i | ||||
\(484\) | −164.428 | − | 192.052i | −0.339727 | − | 0.396802i | ||||
\(485\) | 277.037 | + | 668.826i | 0.571210 | + | 1.37902i | ||||
\(486\) | −690.725 | + | 255.294i | −1.42124 | + | 0.525295i | ||||
\(487\) | −269.525 | − | 269.525i | −0.553439 | − | 0.553439i | 0.373992 | − | 0.927432i | \(-0.377989\pi\) |
−0.927432 | + | 0.373992i | \(0.877989\pi\) | |||||||
\(488\) | 206.818 | + | 728.291i | 0.423807 | + | 1.49240i | ||||
\(489\) | 493.676 | + | 493.676i | 1.00956 | + | 1.00956i | ||||
\(490\) | −185.881 | + | 403.845i | −0.379348 | + | 0.824173i | ||||
\(491\) | 285.394 | + | 689.002i | 0.581250 | + | 1.40326i | 0.891680 | + | 0.452666i | \(0.149527\pi\) |
−0.310430 | + | 0.950596i | \(0.600473\pi\) | |||||||
\(492\) | 109.247 | + | 334.856i | 0.222046 | + | 0.680602i | ||||
\(493\) | −3.23869 | + | 7.81888i | −0.00656934 | + | 0.0158598i | ||||
\(494\) | −1.85936 | + | 48.0603i | −0.00376389 | + | 0.0972881i | ||||
\(495\) | 734.601 | 1.48404 | ||||||||
\(496\) | −117.565 | + | 754.005i | −0.237026 | + | 1.52017i | ||||
\(497\) | 11.6225i | 0.0233854i | ||||||||
\(498\) | −12.4507 | + | 321.821i | −0.0250013 | + | 0.646227i | ||||
\(499\) | 581.267 | + | 240.769i | 1.16486 | + | 0.482503i | 0.879492 | − | 0.475914i | \(-0.157883\pi\) |
0.285373 | + | 0.958417i | \(0.407883\pi\) | |||||||
\(500\) | 241.166 | − | 474.725i | 0.482332 | − | 0.949449i | ||||
\(501\) | 636.096 | − | 263.479i | 1.26965 | − | 0.525907i | ||||
\(502\) | −119.206 | + | 258.986i | −0.237461 | + | 0.515909i | ||||
\(503\) | 204.189 | − | 204.189i | 0.405942 | − | 0.405942i | −0.474379 | − | 0.880321i | \(-0.657327\pi\) |
0.880321 | + | 0.474379i | \(0.157327\pi\) | |||||||
\(504\) | −73.6880 | + | 58.3067i | −0.146206 | + | 0.115688i | ||||
\(505\) | 454.169 | − | 454.169i | 0.899345 | − | 0.899345i | ||||
\(506\) | 8.98426 | − | 3.32061i | 0.0177555 | − | 0.00656246i | ||||
\(507\) | 154.175 | − | 63.8615i | 0.304093 | − | 0.125960i | ||||
\(508\) | −68.9424 | − | 5.34250i | −0.135713 | − | 0.0105167i | ||||
\(509\) | −397.562 | − | 164.676i | −0.781066 | − | 0.323528i | −0.0437202 | − | 0.999044i | \(-0.513921\pi\) |
−0.737345 | + | 0.675516i | \(0.763921\pi\) | |||||||
\(510\) | −359.022 | − | 387.920i | −0.703965 | − | 0.760628i | ||||
\(511\) | − | 14.6530i | − | 0.0286751i | ||||||
\(512\) | −463.803 | + | 216.866i | −0.905865 | + | 0.423566i | ||||
\(513\) | 136.497 | 0.266077 | ||||||||
\(514\) | 102.888 | − | 95.2236i | 0.200172 | − | 0.185260i | ||||
\(515\) | −24.5730 | + | 59.3244i | −0.0477145 | + | 0.115193i | ||||
\(516\) | −64.9456 | + | 838.091i | −0.125863 | + | 1.62421i | ||||
\(517\) | −234.242 | − | 565.510i | −0.453079 | − | 1.09383i | ||||
\(518\) | 14.5864 | + | 39.4652i | 0.0281591 | + | 0.0761876i | ||||
\(519\) | −885.818 | − | 885.818i | −1.70678 | − | 1.70678i | ||||
\(520\) | −266.807 | − | 337.191i | −0.513091 | − | 0.648444i | ||||
\(521\) | −333.835 | − | 333.835i | −0.640759 | − | 0.640759i | 0.309983 | − | 0.950742i | \(-0.399676\pi\) |
−0.950742 | + | 0.309983i | \(0.899676\pi\) | |||||||
\(522\) | 30.8777 | + | 14.2123i | 0.0591526 | + | 0.0272266i | ||||
\(523\) | −211.672 | − | 511.022i | −0.404727 | − | 0.977097i | −0.986502 | − | 0.163748i | \(-0.947642\pi\) |
0.581775 | − | 0.813350i | \(-0.302358\pi\) | |||||||
\(524\) | 374.830 | + | 190.418i | 0.715324 | + | 0.363393i | ||||
\(525\) | −4.85170 | + | 11.7130i | −0.00924132 | + | 0.0223105i | ||||
\(526\) | 694.942 | + | 26.8860i | 1.32118 | + | 0.0511141i | ||||
\(527\) | 502.712 | 0.953913 | ||||||||
\(528\) | −660.101 | − | 102.924i | −1.25019 | − | 0.194931i | ||||
\(529\) | 528.603i | 0.999250i | ||||||||
\(530\) | 657.808 | + | 25.4494i | 1.24115 | + | 0.0480177i | ||||
\(531\) | −1377.35 | − | 570.518i | −2.59388 | − | 1.07442i | ||||
\(532\) | 4.31013 | − | 1.40618i | 0.00810174 | − | 0.00264319i | ||||
\(533\) | 174.389 | − | 72.2343i | 0.327184 | − | 0.135524i | ||||
\(534\) | −797.245 | − | 366.954i | −1.49297 | − | 0.687180i | ||||
\(535\) | −580.452 | + | 580.452i | −1.08496 | + | 1.08496i | ||||
\(536\) | −143.259 | + | 40.6821i | −0.267273 | + | 0.0758994i | ||||
\(537\) | −23.2517 | + | 23.2517i | −0.0432992 | + | 0.0432992i | ||||
\(538\) | 13.2938 | + | 35.9677i | 0.0247096 | + | 0.0668545i | ||||
\(539\) | 341.990 | − | 141.657i | 0.634490 | − | 0.262815i | ||||
\(540\) | −926.962 | + | 793.629i | −1.71660 | + | 1.46968i | ||||
\(541\) | −529.582 | − | 219.360i | −0.978896 | − | 0.405472i | −0.164879 | − | 0.986314i | \(-0.552723\pi\) |
−0.814016 | + | 0.580842i | \(0.802723\pi\) | |||||||
\(542\) | −480.861 | + | 445.040i | −0.887198 | + | 0.821107i | ||||
\(543\) | 1627.95i | 2.99807i | ||||||||
\(544\) | 188.228 | + | 279.879i | 0.346008 | + | 0.514484i | ||||
\(545\) | 43.1003 | 0.0790832 | ||||||||
\(546\) | 48.7471 | + | 52.6708i | 0.0892805 | + | 0.0964667i | ||||
\(547\) | −68.4960 | + | 165.364i | −0.125221 | + | 0.302311i | −0.974041 | − | 0.226371i | \(-0.927314\pi\) |
0.848820 | + | 0.528682i | \(0.177314\pi\) | |||||||
\(548\) | 109.726 | − | 93.9435i | 0.200231 | − | 0.171430i | ||||
\(549\) | −766.577 | − | 1850.68i | −1.39632 | − | 3.37100i | ||||
\(550\) | −59.3243 | + | 21.9264i | −0.107862 | + | 0.0398662i | ||||
\(551\) | −1.15968 | − | 1.15968i | −0.00210468 | − | 0.00210468i | ||||
\(552\) | −13.4817 | + | 24.1755i | −0.0244234 | + | 0.0437961i | ||||
\(553\) | 14.2197 | + | 14.2197i | 0.0257138 | + | 0.0257138i | ||||
\(554\) | 28.9048 | − | 62.7986i | 0.0521747 | − | 0.113355i | ||||
\(555\) | 363.770 | + | 878.217i | 0.655441 | + | 1.58237i | ||||
\(556\) | −518.914 | + | 169.295i | −0.933299 | + | 0.304488i | ||||
\(557\) | −308.610 | + | 745.049i | −0.554057 | + | 1.33761i | 0.360351 | + | 0.932817i | \(0.382657\pi\) |
−0.914408 | + | 0.404794i | \(0.867343\pi\) | |||||||
\(558\) | 78.0573 | − | 2017.60i | 0.139888 | − | 3.61578i | ||||
\(559\) | 450.477 | 0.805863 | ||||||||
\(560\) | −21.0945 | + | 34.6095i | −0.0376687 | + | 0.0618027i | ||||
\(561\) | 440.104i | 0.784500i | ||||||||
\(562\) | 28.8028 | − | 744.487i | 0.0512506 | − | 1.32471i | ||||
\(563\) | −347.195 | − | 143.813i | −0.616687 | − | 0.255440i | 0.0523978 | − | 0.998626i | \(-0.483314\pi\) |
−0.669085 | + | 0.743186i | \(0.733314\pi\) | |||||||
\(564\) | 1577.09 | + | 801.183i | 2.79626 | + | 1.42054i | ||||
\(565\) | 362.017 | − | 149.952i | 0.640738 | − | 0.265402i | ||||
\(566\) | 242.676 | − | 527.239i | 0.428757 | − | 0.931518i | ||||
\(567\) | 69.2706 | − | 69.2706i | 0.122170 | − | 0.122170i | ||||
\(568\) | 19.3945 | − | 166.434i | 0.0341452 | − | 0.293017i | ||||
\(569\) | 717.322 | − | 717.322i | 1.26067 | − | 1.26067i | 0.309903 | − | 0.950768i | \(-0.399703\pi\) |
0.950768 | − | 0.309903i | \(-0.100297\pi\) | |||||||
\(570\) | 96.0763 | − | 35.5100i | 0.168555 | − | 0.0622983i | ||||
\(571\) | −327.041 | + | 135.465i | −0.572751 | + | 0.237241i | −0.650210 | − | 0.759754i | \(-0.725319\pi\) |
0.0774591 | + | 0.996996i | \(0.475319\pi\) | |||||||
\(572\) | −27.6609 | + | 356.951i | −0.0483582 | + | 0.624039i | ||||
\(573\) | −712.966 | − | 295.320i | −1.24427 | − | 0.515393i | ||||
\(574\) | −12.0857 | − | 13.0584i | −0.0210552 | − | 0.0227499i | ||||
\(575\) | 2.62050i | 0.00455740i | ||||||||
\(576\) | 1152.50 | − | 711.985i | 2.00087 | − | 1.23608i | ||||
\(577\) | 531.710 | 0.921507 | 0.460754 | − | 0.887528i | \(-0.347579\pi\) | ||||
0.460754 | + | 0.887528i | \(0.347579\pi\) | |||||||
\(578\) | −261.133 | + | 241.680i | −0.451787 | + | 0.418131i | ||||
\(579\) | −335.709 | + | 810.473i | −0.579808 | + | 1.39978i | ||||
\(580\) | 14.6181 | + | 1.13279i | 0.0252036 | + | 0.00195309i | ||||
\(581\) | −6.22591 | − | 15.0307i | −0.0107158 | − | 0.0258703i | ||||
\(582\) | 603.911 | + | 1633.95i | 1.03765 | + | 2.80747i | ||||
\(583\) | −387.585 | − | 387.585i | −0.664812 | − | 0.664812i | ||||
\(584\) | −24.4514 | + | 209.830i | −0.0418689 | + | 0.359298i | ||||
\(585\) | 804.460 | + | 804.460i | 1.37515 | + | 1.37515i | ||||
\(586\) | −212.580 | − | 97.8456i | −0.362764 | − | 0.166972i | ||||
\(587\) | 105.581 | + | 254.894i | 0.179865 | + | 0.434232i | 0.987938 | − | 0.154850i | \(-0.0494895\pi\) |
−0.808073 | + | 0.589082i | \(0.799490\pi\) | |||||||
\(588\) | −484.513 | + | 953.743i | −0.824001 | + | 1.62201i | ||||
\(589\) | −37.2806 | + | 90.0034i | −0.0632948 | + | 0.152807i | ||||
\(590\) | −642.579 | − | 24.8602i | −1.08912 | − | 0.0421359i | ||||
\(591\) | −335.145 | −0.567082 | ||||||||
\(592\) | −143.021 | − | 589.479i | −0.241590 | − | 0.995742i | ||||
\(593\) | 405.861i | 0.684419i | 0.939624 | + | 0.342210i | \(0.111175\pi\) | ||||
−0.939624 | + | 0.342210i | \(0.888825\pi\) | |||||||
\(594\) | 1015.31 | + | 39.2803i | 1.70927 | + | 0.0661284i | ||||
\(595\) | 24.6681 | + | 10.2179i | 0.0414590 | + | 0.0171729i | ||||
\(596\) | −203.172 | − | 622.751i | −0.340892 | − | 1.04488i | ||||
\(597\) | 995.638 | − | 412.407i | 1.66774 | − | 0.690799i | ||||
\(598\) | 13.4750 | + | 6.20226i | 0.0225335 | + | 0.0103717i | ||||
\(599\) | 561.484 | − | 561.484i | 0.937370 | − | 0.937370i | −0.0607815 | − | 0.998151i | \(-0.519359\pi\) |
0.998151 | + | 0.0607815i | \(0.0193593\pi\) | |||||||
\(600\) | 89.0215 | − | 159.634i | 0.148369 | − | 0.266056i | ||||
\(601\) | −358.762 | + | 358.762i | −0.596941 | + | 0.596941i | −0.939497 | − | 0.342556i | \(-0.888707\pi\) |
0.342556 | + | 0.939497i | \(0.388707\pi\) | |||||||
\(602\) | −14.7213 | − | 39.8300i | −0.0244539 | − | 0.0661628i | ||||
\(603\) | 364.038 | − | 150.790i | 0.603712 | − | 0.250066i | ||||
\(604\) | 453.592 | + | 529.797i | 0.750981 | + | 0.877148i | ||||
\(605\) | 266.580 | + | 110.421i | 0.440628 | + | 0.182514i | ||||
\(606\) | 1134.29 | − | 1049.79i | 1.87176 | − | 1.73233i | ||||
\(607\) | − | 571.923i | − | 0.942213i | −0.882076 | − | 0.471107i | \(-0.843855\pi\) | ||
0.882076 | − | 0.471107i | \(-0.156145\pi\) | |||||||
\(608\) | −64.0672 | + | 12.9440i | −0.105374 | + | 0.0212895i | ||||
\(609\) | −2.44718 | −0.00401836 | ||||||||
\(610\) | −586.897 | − | 634.137i | −0.962126 | − | 1.03957i | ||||
\(611\) | 362.771 | − | 875.806i | 0.593733 | − | 1.43340i | ||||
\(612\) | −580.396 | − | 677.904i | −0.948359 | − | 1.10769i | ||||
\(613\) | 401.254 | + | 968.712i | 0.654574 | + | 1.58028i | 0.806068 | + | 0.591823i | \(0.201591\pi\) |
−0.151494 | + | 0.988458i | \(0.548409\pi\) | |||||||
\(614\) | −874.137 | + | 323.083i | −1.42368 | + | 0.526194i | ||||
\(615\) | −284.249 | − | 284.249i | −0.462193 | − | 0.462193i | ||||
\(616\) | 32.4645 | − | 9.21918i | 0.0527022 | − | 0.0149662i | ||||
\(617\) | −151.870 | − | 151.870i | −0.246143 | − | 0.246143i | 0.573242 | − | 0.819386i | \(-0.305685\pi\) |
−0.819386 | + | 0.573242i | \(0.805685\pi\) | |||||||
\(618\) | −64.6037 | + | 140.358i | −0.104537 | + | 0.227117i | ||||
\(619\) | 146.518 | + | 353.725i | 0.236701 | + | 0.571446i | 0.996938 | − | 0.0781999i | \(-0.0249173\pi\) |
−0.760237 | + | 0.649646i | \(0.774917\pi\) | |||||||
\(620\) | −270.127 | − | 827.977i | −0.435688 | − | 1.33545i | ||||
\(621\) | 16.1105 | − | 38.8941i | 0.0259428 | − | 0.0626314i | ||||
\(622\) | 6.70557 | − | 173.324i | 0.0107807 | − | 0.278656i | ||||
\(623\) | 44.3344 | 0.0711628 | ||||||||
\(624\) | −610.164 | − | 835.587i | −0.977827 | − | 1.33908i | ||||
\(625\) | 503.703i | 0.805924i | ||||||||
\(626\) | −14.1391 | + | 365.465i | −0.0225865 | + | 0.583809i | ||||
\(627\) | −78.7944 | − | 32.6377i | −0.125669 | − | 0.0520537i | ||||
\(628\) | 209.956 | − | 413.290i | 0.334325 | − | 0.658105i | ||||
\(629\) | −369.176 | + | 152.918i | −0.586925 | + | 0.243112i | ||||
\(630\) | 44.8390 | − | 97.4174i | 0.0711731 | − | 0.154631i | ||||
\(631\) | −682.535 | + | 682.535i | −1.08167 | + | 1.08167i | −0.0853189 | + | 0.996354i | \(0.527191\pi\) |
−0.996354 | + | 0.0853189i | \(0.972809\pi\) | |||||||
\(632\) | −179.897 | − | 227.354i | −0.284647 | − | 0.359737i | ||||
\(633\) | −816.687 | + | 816.687i | −1.29018 | + | 1.29018i | ||||
\(634\) | 582.176 | − | 215.174i | 0.918259 | − | 0.339391i | ||||
\(635\) | 72.9111 | − | 30.2007i | 0.114821 | − | 0.0475602i | ||||
\(636\) | 1579.31 | + | 122.385i | 2.48320 | + | 0.192429i | ||||
\(637\) | 529.641 | + | 219.385i | 0.831462 | + | 0.344403i | ||||
\(638\) | −8.29229 | − | 8.95974i | −0.0129973 | − | 0.0140435i | ||||
\(639\) | 443.344i | 0.693808i | ||||||||
\(640\) | 359.824 | − | 460.406i | 0.562225 | − | 0.719384i | ||||
\(641\) | 38.9310 | 0.0607348 | 0.0303674 | − | 0.999539i | \(-0.490332\pi\) | ||||
0.0303674 | + | 0.999539i | \(0.490332\pi\) | |||||||
\(642\) | −1449.68 | + | 1341.69i | −2.25807 | + | 2.08985i | ||||
\(643\) | 318.631 | − | 769.243i | 0.495538 | − | 1.19633i | −0.456326 | − | 0.889813i | \(-0.650835\pi\) |
0.951864 | − | 0.306522i | \(-0.0991652\pi\) | |||||||
\(644\) | 0.108033 | − | 1.39411i | 0.000167753 | − | 0.00216477i | ||||
\(645\) | −367.132 | − | 886.335i | −0.569197 | − | 1.37416i | ||||
\(646\) | 14.9273 | + | 40.3876i | 0.0231073 | + | 0.0625194i | ||||
\(647\) | −157.445 | − | 157.445i | −0.243346 | − | 0.243346i | 0.574887 | − | 0.818233i | \(-0.305046\pi\) |
−0.818233 | + | 0.574887i | \(0.805046\pi\) | |||||||
\(648\) | −1107.54 | + | 876.358i | −1.70917 | + | 1.35240i | ||||
\(649\) | 378.612 | + | 378.612i | 0.583378 | + | 0.583378i | ||||
\(650\) | −88.9774 | − | 40.9543i | −0.136888 | − | 0.0630067i | ||||
\(651\) | 55.6284 | + | 134.299i | 0.0854507 | + | 0.206296i | ||||
\(652\) | 453.312 | + | 230.288i | 0.695264 | + | 0.353202i | ||||
\(653\) | −15.6861 | + | 37.8696i | −0.0240216 | + | 0.0579933i | −0.935435 | − | 0.353498i | \(-0.884992\pi\) |
0.911414 | + | 0.411492i | \(0.134992\pi\) | |||||||
\(654\) | 103.634 | + | 4.00939i | 0.158461 | + | 0.00613057i | ||||
\(655\) | −479.821 | −0.732551 | ||||||||
\(656\) | 151.275 | + | 207.163i | 0.230603 | + | 0.315798i | ||||
\(657\) | − | 558.942i | − | 0.850748i | ||||||
\(658\) | −89.2915 | − | 3.45452i | −0.135701 | − | 0.00525003i | ||||
\(659\) | 187.169 | + | 77.5281i | 0.284020 | + | 0.117645i | 0.520146 | − | 0.854078i | \(-0.325878\pi\) |
−0.236125 | + | 0.971723i | \(0.575878\pi\) | |||||||
\(660\) | 724.860 | − | 236.485i | 1.09827 | − | 0.358311i | ||||
\(661\) | 30.1818 | − | 12.5017i | 0.0456608 | − | 0.0189133i | −0.359736 | − | 0.933054i | \(-0.617133\pi\) |
0.405397 | + | 0.914141i | \(0.367133\pi\) | |||||||
\(662\) | −584.723 | − | 269.135i | −0.883267 | − | 0.406548i | ||||
\(663\) | −481.957 | + | 481.957i | −0.726934 | + | 0.726934i | ||||
\(664\) | 64.0729 | + | 225.627i | 0.0964954 | + | 0.339800i | ||||
\(665\) | −3.65873 | + | 3.65873i | −0.00550184 | + | 0.00550184i | ||||
\(666\) | 556.402 | + | 1505.41i | 0.835439 | + | 2.26037i | ||||
\(667\) | −0.467318 | + | 0.193569i | −0.000700627 | + | 0.000290209i | ||||
\(668\) | 380.890 | − | 326.104i | 0.570195 | − | 0.488179i | ||||
\(669\) | −1451.05 | − | 601.045i | −2.16899 | − | 0.898423i | ||||
\(670\) | 124.738 | − | 115.446i | 0.186176 | − | 0.172307i | ||||
\(671\) | 719.443i | 1.07219i | ||||||||
\(672\) | −53.9406 | + | 81.2554i | −0.0802688 | + | 0.120916i | ||||
\(673\) | −327.878 | −0.487189 | −0.243595 | − | 0.969877i | \(-0.578327\pi\) | ||||
−0.243595 | + | 0.969877i | \(0.578327\pi\) | |||||||
\(674\) | −358.169 | − | 386.998i | −0.531408 | − | 0.574181i | ||||
\(675\) | −106.380 | + | 256.823i | −0.157599 | + | 0.380479i | ||||
\(676\) | 92.3192 | − | 79.0402i | 0.136567 | − | 0.116923i | ||||
\(677\) | 117.661 | + | 284.058i | 0.173797 | + | 0.419583i | 0.986643 | − | 0.162895i | \(-0.0520832\pi\) |
−0.812846 | + | 0.582478i | \(0.802083\pi\) | |||||||
\(678\) | 884.410 | − | 326.880i | 1.30444 | − | 0.482124i | ||||
\(679\) | −62.2231 | − | 62.2231i | −0.0916393 | − | 0.0916393i | ||||
\(680\) | −336.195 | − | 187.483i | −0.494405 | − | 0.275710i | ||||
\(681\) | −81.4826 | − | 81.4826i | −0.119651 | − | 0.119651i | ||||
\(682\) | −303.204 | + | 658.741i | −0.444581 | + | 0.965897i | ||||
\(683\) | −324.811 | − | 784.162i | −0.475564 | − | 1.14811i | −0.961669 | − | 0.274213i | \(-0.911583\pi\) |
0.486104 | − | 0.873901i | \(-0.338417\pi\) | |||||||
\(684\) | 164.411 | − | 53.6388i | 0.240366 | − | 0.0784193i | ||||
\(685\) | −63.0875 | + | 152.307i | −0.0920985 | + | 0.222345i | ||||
\(686\) | 4.19143 | − | 108.339i | 0.00610996 | − | 0.157929i | ||||
\(687\) | −960.220 | −1.39770 | ||||||||
\(688\) | 144.343 | + | 594.928i | 0.209801 | + | 0.864721i | ||||
\(689\) | − | 848.888i | − | 1.23206i | ||||||
\(690\) | 1.22129 | − | 31.5675i | 0.00176998 | − | 0.0457500i | ||||
\(691\) | 826.286 | + | 342.259i | 1.19578 | + | 0.495309i | 0.889634 | − | 0.456674i | \(-0.150959\pi\) |
0.306149 | + | 0.951984i | \(0.400959\pi\) | |||||||
\(692\) | −813.391 | − | 413.213i | −1.17542 | − | 0.597128i | ||||
\(693\) | −82.4966 | + | 34.1712i | −0.119043 | + | 0.0493091i | ||||
\(694\) | 351.567 | − | 763.815i | 0.506580 | − | 1.10060i | ||||
\(695\) | 440.490 | − | 440.490i | 0.633798 | − | 0.633798i | ||||
\(696\) | 35.0435 | + | 4.08361i | 0.0503499 | + | 0.00586726i | ||||
\(697\) | 119.490 | − | 119.490i | 0.171434 | − | 0.171434i | ||||
\(698\) | −910.241 | + | 336.427i | −1.30407 | + | 0.481988i | ||||
\(699\) | 2025.75 | − | 839.092i | 2.89807 | − | 1.20042i | ||||
\(700\) | −0.713355 | + | 9.20550i | −0.00101908 | + | 0.0131507i | ||||
\(701\) | 430.597 | + | 178.359i | 0.614260 | + | 0.254435i | 0.668049 | − | 0.744117i | \(-0.267130\pi\) |
−0.0537885 | + | 0.998552i | \(0.517130\pi\) | |||||||
\(702\) | 1068.84 | + | 1154.87i | 1.52257 | + | 1.64512i | ||||
\(703\) | − | 77.4359i | − | 0.110151i | ||||||
\(704\) | −480.274 | + | 77.8444i | −0.682207 | + | 0.110574i | ||||
\(705\) | −2018.84 | −2.86361 | ||||||||
\(706\) | 156.985 | − | 145.291i | 0.222359 | − | 0.205794i | ||||
\(707\) | −29.8773 | + | 72.1301i | −0.0422592 | + | 0.102023i | ||||
\(708\) | −1542.75 | − | 119.551i | −2.17903 | − | 0.168858i | ||||
\(709\) | −77.1066 | − | 186.152i | −0.108754 | − | 0.262555i | 0.860128 | − | 0.510078i | \(-0.170384\pi\) |
−0.968882 | + | 0.247523i | \(0.920384\pi\) | |||||||
\(710\) | 66.2967 | + | 179.373i | 0.0933756 | + | 0.252638i | ||||
\(711\) | 542.414 | + | 542.414i | 0.762889 | + | 0.762889i | ||||
\(712\) | −634.866 | − | 73.9807i | −0.891665 | − | 0.103906i | ||||
\(713\) | 21.2458 | + | 21.2458i | 0.0297977 | + | 0.0297977i | ||||
\(714\) | 58.3634 | + | 26.8634i | 0.0817414 | + | 0.0376238i | ||||
\(715\) | −156.365 | − | 377.498i | −0.218692 | − | 0.527970i | ||||
\(716\) | −10.8463 | + | 21.3506i | −0.0151485 | + | 0.0298192i | ||||
\(717\) | 27.6645 | − | 66.7879i | 0.0385836 | − | 0.0931491i | ||||
\(718\) | 590.025 | + | 22.8270i | 0.821762 | + | 0.0317924i | ||||
\(719\) | 809.898 | 1.12642 | 0.563212 | − | 0.826313i | \(-0.309566\pi\) | ||||
0.563212 | + | 0.826313i | \(0.309566\pi\) | |||||||
\(720\) | −804.652 | + | 1320.19i | −1.11757 | + | 1.83359i | ||||
\(721\) | − | 7.80525i | − | 0.0108256i | ||||||
\(722\) | 713.122 | + | 27.5894i | 0.987704 | + | 0.0382124i | ||||
\(723\) | 1175.96 | + | 487.099i | 1.62650 | + | 0.673719i | ||||
\(724\) | 367.723 | + | 1127.12i | 0.507905 | + | 1.55680i | ||||
\(725\) | 3.08576 | − | 1.27817i | 0.00425623 | − | 0.00176299i | ||||
\(726\) | 630.713 | + | 290.303i | 0.868750 | + | 0.399866i | ||||
\(727\) | 542.456 | − | 542.456i | 0.746156 | − | 0.746156i | −0.227599 | − | 0.973755i | \(-0.573087\pi\) |
0.973755 | + | 0.227599i | \(0.0730875\pi\) | |||||||
\(728\) | 45.6477 | + | 25.4559i | 0.0627029 | + | 0.0349670i | ||||
\(729\) | 306.489 | − | 306.489i | 0.420424 | − | 0.420424i | ||||
\(730\) | −83.5830 | − | 226.143i | −0.114497 | − | 0.309785i | ||||
\(731\) | 372.588 | − | 154.331i | 0.509697 | − | 0.211123i | ||||
\(732\) | −1352.19 | − | 1579.36i | −1.84725 | − | 2.15760i | ||||
\(733\) | 562.276 | + | 232.903i | 0.767089 | + | 0.317739i | 0.731693 | − | 0.681635i | \(-0.238731\pi\) |
0.0353965 | + | 0.999373i | \(0.488731\pi\) | |||||||
\(734\) | −1043.63 | + | 965.885i | −1.42184 | + | 1.31592i | ||||
\(735\) | − | 1220.89i | − | 1.66107i | ||||||
\(736\) | −3.87337 | + | 19.7833i | −0.00526273 | + | 0.0268795i | ||||
\(737\) | −141.518 | −0.192019 | ||||||||
\(738\) | −461.010 | − | 498.117i | −0.624675 | − | 0.674955i | ||||
\(739\) | −305.819 | + | 738.312i | −0.413828 | + | 0.999070i | 0.570272 | + | 0.821456i | \(0.306838\pi\) |
−0.984100 | + | 0.177614i | \(0.943162\pi\) | |||||||
\(740\) | 450.231 | + | 525.871i | 0.608420 | + | 0.710637i | ||||
\(741\) | −50.5461 | − | 122.029i | −0.0682133 | − | 0.164681i | ||||
\(742\) | −75.0564 | + | 27.7410i | −0.101154 | + | 0.0373868i | ||||
\(743\) | 581.334 | + | 581.334i | 0.782414 | + | 0.782414i | 0.980238 | − | 0.197823i | \(-0.0633873\pi\) |
−0.197823 | + | 0.980238i | \(0.563387\pi\) | |||||||
\(744\) | −572.491 | − | 2015.98i | −0.769477 | − | 2.70965i | ||||
\(745\) | 528.633 | + | 528.633i | 0.709574 | + | 0.709574i | ||||
\(746\) | 531.698 | − | 1155.17i | 0.712732 | − | 1.54848i | ||||
\(747\) | −237.488 | − | 573.348i | −0.317923 | − | 0.767534i | ||||
\(748\) | 99.4112 | + | 304.709i | 0.132903 | + | 0.407365i | ||||
\(749\) | 38.1847 | − | 92.1861i | 0.0509810 | − | 0.123079i | ||||
\(750\) | −56.5307 | + | 1461.19i | −0.0753743 | + | 1.94825i | ||||
\(751\) | −187.901 | −0.250201 | −0.125100 | − | 0.992144i | \(-0.539925\pi\) | ||||
−0.125100 | + | 0.992144i | \(0.539925\pi\) | |||||||
\(752\) | 1272.88 | + | 198.469i | 1.69266 | + | 0.263922i | ||||
\(753\) | − | 782.958i | − | 1.03978i | ||||||
\(754\) | 0.730922 | − | 18.8927i | 0.000969392 | − | 0.0250566i | ||||
\(755\) | −735.390 | − | 304.608i | −0.974026 | − | 0.403455i | ||||
\(756\) | 67.1819 | − | 132.245i | 0.0888649 | − | 0.174927i | ||||
\(757\) | −168.645 | + | 69.8549i | −0.222780 | + | 0.0922786i | −0.491282 | − | 0.871001i | \(-0.663472\pi\) |
0.268502 | + | 0.963279i | \(0.413472\pi\) | |||||||
\(758\) | 31.2452 | − | 67.8833i | 0.0412206 | − | 0.0895559i | ||||
\(759\) | −18.5998 | + | 18.5998i | −0.0245057 | + | 0.0245057i | ||||
\(760\) | 58.4980 | − | 46.2874i | 0.0769711 | − | 0.0609045i | ||||
\(761\) | 391.406 | − | 391.406i | 0.514331 | − | 0.514331i | −0.401520 | − | 0.915850i | \(-0.631518\pi\) |
0.915850 | + | 0.401520i | \(0.131518\pi\) | |||||||
\(762\) | 178.122 | − | 65.8344i | 0.233756 | − | 0.0863968i | ||||
\(763\) | −4.84022 | + | 2.00488i | −0.00634367 | + | 0.00262763i | ||||
\(764\) | −560.334 | − | 43.4215i | −0.733421 | − | 0.0568345i | ||||
\(765\) | 940.971 | + | 389.763i | 1.23003 | + | 0.509494i | ||||
\(766\) | −472.240 | − | 510.250i | −0.616501 | − | 0.666123i | ||||
\(767\) | 829.235i | 1.08114i | ||||||||
\(768\) | 908.016 | − | 1073.56i | 1.18231 | − | 1.39787i | ||||
\(769\) | 184.433 | 0.239835 | 0.119918 | − | 0.992784i | \(-0.461737\pi\) | ||||
0.119918 | + | 0.992784i | \(0.461737\pi\) | |||||||
\(770\) | −28.2675 | + | 26.1617i | −0.0367110 | + | 0.0339763i | ||||
\(771\) | −147.332 | + | 355.690i | −0.191092 | + | 0.461336i | ||||
\(772\) | −49.3600 | + | 636.967i | −0.0639378 | + | 0.825087i | ||||
\(773\) | −140.532 | − | 339.275i | −0.181801 | − | 0.438907i | 0.806537 | − | 0.591184i | \(-0.201339\pi\) |
−0.988338 | + | 0.152277i | \(0.951339\pi\) | |||||||
\(774\) | −561.545 | − | 1519.32i | −0.725511 | − | 1.96295i | ||||
\(775\) | −140.289 | − | 140.289i | −0.181018 | − | 0.181018i | ||||
\(776\) | 787.199 | + | 994.862i | 1.01443 | + | 1.28204i | ||||
\(777\) | −81.7035 | − | 81.7035i | −0.105152 | − | 0.105152i | ||||
\(778\) | 288.424 | + | 132.755i | 0.370725 | + | 0.170637i | ||||
\(779\) | 12.5317 | + | 30.2541i | 0.0160869 | + | 0.0388371i | ||||
\(780\) | 1052.77 | + | 534.818i | 1.34970 | + | 0.685665i | ||||
\(781\) | 60.9340 | − | 147.108i | 0.0780206 | − | 0.188358i | ||||
\(782\) | 13.2700 | + | 0.513392i | 0.0169693 | + | 0.000656512i | ||||
\(783\) | −53.6576 | −0.0685282 | ||||||||
\(784\) | −120.024 | + | 769.772i | −0.153091 | + | 0.981852i | ||||
\(785\) | 529.054i | 0.673954i | ||||||||
\(786\) | −1153.72 | − | 44.6351i | −1.46783 | − | 0.0567877i | ||||
\(787\) | −926.743 | − | 383.870i | −1.17756 | − | 0.487763i | −0.293878 | − | 0.955843i | \(-0.594946\pi\) |
−0.883686 | + | 0.468080i | \(0.844946\pi\) | |||||||
\(788\) | −232.040 | + | 75.7030i | −0.294467 | + | 0.0960697i | ||||
\(789\) | −1764.51 | + | 730.885i | −2.23639 | + | 0.926344i | ||||
\(790\) | 300.568 | + | 138.345i | 0.380465 | + | 0.175120i | ||||
\(791\) | −33.6796 | + | 33.6796i | −0.0425785 | + | 0.0425785i | ||||
\(792\) | 1238.37 | − | 351.667i | 1.56359 | − | 0.444024i | ||||
\(793\) | −787.860 | + | 787.860i | −0.993518 | + | 0.993518i | ||||
\(794\) | 325.153 | + | 879.738i | 0.409513 | + | 1.10798i | ||||
\(795\) | −1670.23 | + | 691.831i | −2.10091 | + | 0.870227i | ||||
\(796\) | 596.182 | − | 510.428i | 0.748973 | − | 0.641242i | ||||
\(797\) | −871.860 | − | 361.136i | −1.09393 | − | 0.453119i | −0.238553 | − | 0.971130i | \(-0.576673\pi\) |
−0.855374 | + | 0.518010i | \(0.826673\pi\) | |||||||
\(798\) | −9.13767 | + | 8.45696i | −0.0114507 | + | 0.0105977i | ||||
\(799\) | − | 848.660i | − | 1.06215i | ||||||
\(800\) | 25.5764 | − | 130.632i | 0.0319705 | − | 0.163290i | ||||
\(801\) | 1691.14 | 2.11129 | ||||||||
\(802\) | 924.516 | + | 998.931i | 1.15276 | + | 1.24555i | ||||
\(803\) | −76.8221 | + | 185.465i | −0.0956689 | + | 0.230965i | ||||
\(804\) | 310.668 | − | 265.982i | 0.386403 | − | 0.330824i | ||||
\(805\) | 0.610701 | + | 1.47436i | 0.000758635 | + | 0.00183151i | ||||
\(806\) | −1053.42 | + | 389.348i | −1.30698 | + | 0.483062i | ||||
\(807\) | −74.4628 | − | 74.4628i | −0.0922711 | − | 0.0922711i | ||||
\(808\) | 548.204 | − | 983.042i | 0.678470 | − | 1.21664i | ||||
\(809\) | 744.003 | + | 744.003i | 0.919658 | + | 0.919658i | 0.997004 | − | 0.0773465i | \(-0.0246448\pi\) |
−0.0773465 | + | 0.997004i | \(0.524645\pi\) | |||||||
\(810\) | 673.937 | − | 1464.20i | 0.832021 | − | 1.80765i | ||||
\(811\) | −307.315 | − | 741.925i | −0.378934 | − | 0.914827i | −0.992166 | − | 0.124924i | \(-0.960131\pi\) |
0.613233 | − | 0.789902i | \(-0.289869\pi\) | |||||||
\(812\) | −1.69432 | + | 0.552772i | −0.00208661 | + | 0.000680754i | ||||
\(813\) | 688.574 | − | 1662.36i | 0.846954 | − | 2.04473i | ||||
\(814\) | 22.2839 | − | 575.989i | 0.0273758 | − | 0.707603i | ||||
\(815\) | −580.286 | −0.712007 | ||||||||
\(816\) | −790.933 | − | 482.072i | −0.969280 | − | 0.590775i | ||||
\(817\) | 78.1517i | 0.0956569i | ||||||||
\(818\) | −26.2335 | + | 678.075i | −0.0320702 | + | 0.828943i | ||||
\(819\) | −127.763 | − | 52.9210i | −0.155998 | − | 0.0646166i | ||||
\(820\) | −261.008 | − | 132.595i | −0.318302 | − | 0.161701i | ||||
\(821\) | −948.269 | + | 392.786i | −1.15502 | + | 0.478424i | −0.876213 | − | 0.481924i | \(-0.839938\pi\) |
−0.278804 | + | 0.960348i | \(0.589938\pi\) | |||||||
\(822\) | −165.860 | + | 360.349i | −0.201777 | + | 0.438380i | ||||
\(823\) | 492.275 | − | 492.275i | 0.598147 | − | 0.598147i | −0.341672 | − | 0.939819i | \(-0.610993\pi\) |
0.939819 | + | 0.341672i | \(0.110993\pi\) | |||||||
\(824\) | −13.0246 | + | 111.771i | −0.0158066 | + | 0.135644i | ||||
\(825\) | 122.817 | − | 122.817i | 0.148869 | − | 0.148869i | ||||
\(826\) | 73.3187 | − | 27.0988i | 0.0887636 | − | 0.0328072i | ||||
\(827\) | −1350.77 | + | 559.506i | −1.63333 | + | 0.676549i | −0.995600 | − | 0.0937082i | \(-0.970128\pi\) |
−0.637734 | + | 0.770257i | \(0.720128\pi\) | |||||||
\(828\) | 4.12093 | − | 53.1786i | 0.00497697 | − | 0.0642254i | ||||
\(829\) | 441.547 | + | 182.895i | 0.532627 | + | 0.220621i | 0.632753 | − | 0.774354i | \(-0.281925\pi\) |
−0.100127 | + | 0.994975i | \(0.531925\pi\) | |||||||
\(830\) | −181.823 | − | 196.458i | −0.219064 | − | 0.236696i | ||||
\(831\) | 189.850i | 0.228460i | ||||||||
\(832\) | −611.194 | − | 440.700i | −0.734608 | − | 0.529687i | ||||
\(833\) | 513.225 | 0.616116 | ||||||||
\(834\) | 1100.12 | − | 1018.17i | 1.31909 | − | 1.22083i | ||||
\(835\) | −218.994 | + | 528.698i | −0.262268 | + | 0.633171i | ||||
\(836\) | −61.9260 | − | 4.79879i | −0.0740742 | − | 0.00574018i | ||||
\(837\) | 1219.72 | + | 2944.67i | 1.45726 | + | 3.51813i | ||||
\(838\) | 60.7152 | + | 164.272i | 0.0724526 | + | 0.196028i | ||||
\(839\) | 849.569 | + | 849.569i | 1.01260 | + | 1.01260i | 0.999920 | + | 0.0126775i | \(0.00403549\pi\) |
0.0126775 | + | 0.999920i | \(0.495965\pi\) | |||||||
\(840\) | 12.8836 | − | 110.560i | 0.0153376 | − | 0.131619i | ||||
\(841\) | −594.221 | − | 594.221i | −0.706565 | − | 0.706565i | ||||
\(842\) | −177.070 | − | 81.5013i | −0.210297 | − | 0.0967949i | ||||
\(843\) | 782.994 | + | 1890.31i | 0.928818 | + | 2.24236i | ||||
\(844\) | −380.965 | + | 749.913i | −0.451380 | + | 0.888522i | ||||
\(845\) | −53.0792 | + | 128.144i | −0.0628156 | + | 0.151650i | ||||
\(846\) | −3406.04 | − | 131.773i | −4.02605 | − | 0.155760i | ||||
\(847\) | −35.0736 | −0.0414093 | ||||||||
\(848\) | 1121.09 | − | 272.003i | 1.32204 | − | 0.320758i | ||||
\(849\) | 1593.93i | 1.87742i | ||||||||
\(850\) | −87.6237 | − | 3.39000i | −0.103087 | − | 0.00398823i | ||||
\(851\) | −22.0649 | − | 9.13957i | −0.0259282 | − | 0.0107398i | ||||
\(852\) | 142.723 | + | 437.465i | 0.167515 | + | 0.513456i | ||||
\(853\) | 773.493 | − | 320.391i | 0.906791 | − | 0.375605i | 0.119964 | − | 0.992778i | \(-0.461722\pi\) |
0.786827 | + | 0.617173i | \(0.211722\pi\) | |||||||
\(854\) | 95.4071 | + | 43.9138i | 0.111718 | + | 0.0514213i | ||||
\(855\) | −139.563 | + | 139.563i | −0.163231 | + | 0.163231i | ||||
\(856\) | −700.634 | + | 1256.38i | −0.818497 | + | 1.46773i | ||||
\(857\) | −259.040 | + | 259.040i | −0.302264 | + | 0.302264i | −0.841899 | − | 0.539635i | \(-0.818562\pi\) |
0.539635 | + | 0.841899i | \(0.318562\pi\) | |||||||
\(858\) | −340.859 | − | 922.230i | −0.397271 | − | 1.07486i | ||||
\(859\) | −762.123 | + | 315.682i | −0.887221 | + | 0.367499i | −0.779293 | − | 0.626660i | \(-0.784422\pi\) |
−0.107928 | + | 0.994159i | \(0.534422\pi\) | |||||||
\(860\) | −454.393 | − | 530.732i | −0.528364 | − | 0.617130i | ||||
\(861\) | 45.1438 | + | 18.6992i | 0.0524318 | + | 0.0217180i | ||||
\(862\) | 747.263 | − | 691.596i | 0.866894 | − | 0.802316i | ||||
\(863\) | − | 1078.25i | − | 1.24942i | −0.780855 | − | 0.624712i | \(-0.785216\pi\) | ||
0.780855 | − | 0.624712i | \(-0.214784\pi\) | |||||||
\(864\) | −1182.72 | + | 1781.63i | −1.36888 | + | 2.06207i | ||||
\(865\) | 1041.22 | 1.20373 | ||||||||
\(866\) | −89.6712 | − | 96.8888i | −0.103546 | − | 0.111881i | ||||
\(867\) | 373.931 | − | 902.750i | 0.431293 | − | 1.04123i | ||||
\(868\) | 68.8502 | + | 80.4173i | 0.0793206 | + | 0.0926467i | ||||
\(869\) | −105.430 | − | 254.532i | −0.121324 | − | 0.292902i | ||||
\(870\) | −37.7679 | + | 13.9591i | −0.0434114 | + | 0.0160450i | ||||
\(871\) | −154.976 | − | 154.976i | −0.177929 | − | 0.177929i | ||||
\(872\) | 72.6571 | − | 20.6329i | 0.0833224 | − | 0.0236616i | ||||
\(873\) | −2373.51 | − | 2373.51i | −2.71880 | − | 2.71880i | ||||
\(874\) | −1.07601 | + | 2.33773i | −0.00123113 | + | 0.00267475i | ||||
\(875\) | −28.2680 | − | 68.2450i | −0.0323063 | − | 0.0779943i | ||||
\(876\) | −179.936 | − | 551.530i | −0.205407 | − | 0.629600i | ||||
\(877\) | 387.984 | − | 936.676i | 0.442399 | − | 1.06805i | −0.532706 | − | 0.846301i | \(-0.678825\pi\) |
0.975105 | − | 0.221745i | \(-0.0711753\pi\) | |||||||
\(878\) | 4.35740 | − | 112.629i | 0.00496287 | − | 0.128279i | ||||
\(879\) | 642.663 | 0.731130 | ||||||||
\(880\) | 448.444 | − | 327.464i | 0.509596 | − | 0.372118i | ||||
\(881\) | − | 1281.50i | − | 1.45460i | −0.686318 | − | 0.727301i | \(-0.740774\pi\) | ||
0.686318 | − | 0.727301i | \(-0.259226\pi\) | |||||||
\(882\) | 79.6896 | − | 2059.79i | 0.0903510 | − | 2.33537i | ||||
\(883\) | −1014.19 | − | 420.092i | −1.14857 | − | 0.475755i | −0.274519 | − | 0.961582i | \(-0.588519\pi\) |
−0.874055 | + | 0.485826i | \(0.838519\pi\) | |||||||
\(884\) | −224.821 | + | 442.551i | −0.254323 | + | 0.500624i | ||||
\(885\) | 1631.56 | − | 675.814i | 1.84357 | − | 0.763632i | ||||
\(886\) | 175.394 | − | 381.061i | 0.197961 | − | 0.430091i | ||||
\(887\) | −57.0987 | + | 57.0987i | −0.0643728 | + | 0.0643728i | −0.738560 | − | 0.674187i | \(-0.764494\pi\) |
0.674187 | + | 0.738560i | \(0.264494\pi\) | |||||||
\(888\) | 1033.65 | + | 1306.33i | 1.16402 | + | 1.47109i | ||||
\(889\) | −6.78316 | + | 6.78316i | −0.00763010 | + | 0.00763010i | ||||
\(890\) | 684.222 | − | 252.890i | 0.768789 | − | 0.284146i | ||||
\(891\) | −1239.94 | + | 513.598i | −1.39162 | + | 0.576429i | ||||
\(892\) | −1140.41 | − | 88.3729i | −1.27849 | − | 0.0990728i | ||||
\(893\) | 151.940 | + | 62.9358i | 0.170146 | + | 0.0704768i | ||||
\(894\) | 1221.91 | + | 1320.26i | 1.36679 | + | 1.47680i | ||||
\(895\) | − | 27.3309i | − | 0.0305373i | ||||||
\(896\) | −18.9921 | + | 68.4419i | −0.0211965 | + | 0.0763860i | ||||
\(897\) | −40.7372 | −0.0454150 | ||||||||
\(898\) | −182.329 | + | 168.747i | −0.203039 | + | 0.187914i | ||||
\(899\) | 14.6551 | − | 35.3806i | 0.0163016 | − | 0.0393555i | ||||
\(900\) | −27.2111 | + | 351.146i | −0.0302345 | + | 0.390162i | ||||
\(901\) | −290.825 | − | 702.113i | −0.322780 | − | 0.779260i | ||||
\(902\) | 84.5076 | + | 228.645i | 0.0936892 | + | 0.253486i | ||||
\(903\) | 82.4587 | + | 82.4587i | 0.0913164 | + | 0.0913164i | ||||
\(904\) | 538.491 | − | 426.089i | 0.595676 | − | 0.471337i | ||||
\(905\) | −956.779 | − | 956.779i | −1.05721 | − | 1.05721i | ||||
\(906\) | −1739.89 | − | 800.832i | −1.92041 | − | 0.883921i | ||||
\(907\) | 312.323 | + | 754.015i | 0.344348 | + | 0.831329i | 0.997266 | + | 0.0739002i | \(0.0235446\pi\) |
−0.652918 | + | 0.757429i | \(0.726455\pi\) | |||||||
\(908\) | −74.8204 | − | 38.0097i | −0.0824014 | − | 0.0418609i | ||||
\(909\) | −1139.67 | + | 2751.42i | −1.25377 | + | 3.02686i | ||||
\(910\) | −59.6053 | − | 2.30602i | −0.0655003 | − | 0.00253409i | ||||
\(911\) | 1374.15 | 1.50840 | 0.754201 | − | 0.656644i | \(-0.228024\pi\) | ||||
0.754201 | + | 0.656644i | \(0.228024\pi\) | |||||||
\(912\) | 144.963 | − | 105.855i | 0.158951 | − | 0.116069i | ||||
\(913\) | 222.886i | 0.244125i | ||||||||
\(914\) | 1619.76 | + | 62.6655i | 1.77217 | + | 0.0685618i | ||||
\(915\) | 2192.25 | + | 908.058i | 2.39590 | + | 0.992413i | ||||
\(916\) | −664.815 | + | 216.895i | −0.725781 | + | 0.236785i | ||||
\(917\) | 53.8844 | − | 22.3196i | 0.0587616 | − | 0.0243399i | ||||
\(918\) | 1279.69 | + | 589.013i | 1.39400 | + | 0.641627i | ||||
\(919\) | −317.523 | + | 317.523i | −0.345510 | + | 0.345510i | −0.858434 | − | 0.512924i | \(-0.828562\pi\) |
0.512924 | + | 0.858434i | \(0.328562\pi\) | |||||||
\(920\) | −6.28493 | − | 22.1318i | −0.00683145 | − | 0.0240564i | ||||
\(921\) | 1809.70 | − | 1809.70i | 1.96493 | − | 1.96493i | ||||
\(922\) | −155.947 | − | 421.930i | −0.169139 | − | 0.457625i | ||||
\(923\) | 227.826 | − | 94.3687i | 0.246832 | − | 0.102241i | ||||
\(924\) | −70.4021 | + | 60.2756i | −0.0761928 | + | 0.0652333i | ||||
\(925\) | 145.697 | + | 60.3498i | 0.157511 | + | 0.0652430i | ||||
\(926\) | 815.507 | − | 754.756i | 0.880677 | − | 0.815071i | ||||
\(927\) | − | 297.733i | − | 0.321179i | ||||||
\(928\) | 25.1850 | − | 5.08834i | 0.0271390 | − | 0.00548313i | ||||
\(929\) | −46.9926 | −0.0505841 | −0.0252920 | − | 0.999680i | \(-0.508052\pi\) | ||||
−0.0252920 | + | 0.999680i | \(0.508052\pi\) | |||||||
\(930\) | 1624.59 | + | 1755.35i | 1.74687 | + | 1.88747i | ||||
\(931\) | −38.0602 | + | 91.8855i | −0.0408810 | + | 0.0986955i | ||||
\(932\) | 1213.01 | − | 1038.53i | 1.30151 | − | 1.11430i | ||||
\(933\) | 182.288 | + | 440.083i | 0.195379 | + | 0.471686i | ||||
\(934\) | 649.375 | − | 240.011i | 0.695263 | − | 0.256971i | ||||
\(935\) | −258.658 | − | 258.658i | −0.276640 | − | 0.276640i | ||||
\(936\) | 1741.24 | + | 971.022i | 1.86030 | + | 1.03742i | ||||
\(937\) | 381.311 | + | 381.311i | 0.406949 | + | 0.406949i | 0.880673 | − | 0.473724i | \(-0.157091\pi\) |
−0.473724 | + | 0.880673i | \(0.657091\pi\) | |||||||
\(938\) | −8.63806 | + | 18.7671i | −0.00920902 | + | 0.0200075i | ||||
\(939\) | −384.367 | − | 927.944i | −0.409337 | − | 0.988226i | ||||
\(940\) | −1397.76 | + | 456.018i | −1.48698 | + | 0.485125i | ||||
\(941\) | 319.284 | − | 770.819i | 0.339303 | − | 0.819149i | −0.658480 | − | 0.752598i | \(-0.728800\pi\) |
0.997783 | − | 0.0665513i | \(-0.0211996\pi\) | |||||||
\(942\) | −49.2150 | + | 1272.10i | −0.0522452 | + | 1.35042i | ||||
\(943\) | 10.0998 | 0.0107103 | ||||||||
\(944\) | −1095.14 | + | 265.706i | −1.16010 | + | 0.281468i | ||||
\(945\) | 169.287i | 0.179139i | ||||||||
\(946\) | −22.4899 | + | 581.313i | −0.0237737 | + | 0.614496i | ||||
\(947\) | −46.3711 | − | 19.2075i | −0.0489663 | − | 0.0202825i | 0.358066 | − | 0.933696i | \(-0.383436\pi\) |
−0.407032 | + | 0.913414i | \(0.633436\pi\) | |||||||
\(948\) | 709.838 | + | 360.606i | 0.748774 | + | 0.380386i | ||||
\(949\) | −287.230 | + | 118.975i | −0.302666 | + | 0.125368i | ||||
\(950\) | 7.10502 | − | 15.4364i | 0.00747897 | − | 0.0162488i | ||||
\(951\) | −1205.26 | + | 1205.26i | −1.26736 | + | 1.26736i | ||||
\(952\) | 46.4762 | + | 5.41586i | 0.0488195 | + | 0.00568893i | ||||
\(953\) | −456.351 | + | 456.351i | −0.478858 | + | 0.478858i | −0.904766 | − | 0.425909i | \(-0.859955\pi\) |
0.425909 | + | 0.904766i | \(0.359955\pi\) | |||||||
\(954\) | −2863.04 | + | 1058.19i | −3.00109 | + | 1.10921i | ||||
\(955\) | 592.589 | − | 245.459i | 0.620512 | − | 0.257025i | ||||
\(956\) | 4.06756 | − | 52.4899i | 0.00425477 | − | 0.0549058i | ||||
\(957\) | 30.9743 | + | 12.8300i | 0.0323661 | + | 0.0134065i | ||||
\(958\) | −325.460 | − | 351.657i | −0.339729 | − | 0.367074i | ||||
\(959\) | − | 20.0388i | − | 0.0208955i | ||||||
\(960\) | −368.983 | + | 1561.72i | −0.384358 | + | 1.62679i | ||||
\(961\) | −1313.79 | −1.36710 | ||||||||
\(962\) | 655.167 | − | 606.361i | 0.681047 | − | 0.630313i | ||||
\(963\) | 1456.56 | − | 3516.46i | 1.51253 | − | 3.65157i | ||||
\(964\) | 924.211 | + | 71.6192i | 0.958725 | + | 0.0742938i | ||||
\(965\) | −279.028 | − | 673.634i | −0.289148 | − | 0.698066i | ||||
\(966\) | 1.33126 | + | 3.60188i | 0.00137812 | + | 0.00372865i | ||||
\(967\) | 476.069 | + | 476.069i | 0.492316 | + | 0.492316i | 0.909035 | − | 0.416719i | \(-0.136820\pi\) |
−0.416719 | + | 0.909035i | \(0.636820\pi\) | |||||||
\(968\) | 502.252 | + | 58.5273i | 0.518855 | + | 0.0604621i | ||||
\(969\) | −83.6130 | − | 83.6130i | −0.0862879 | − | 0.0862879i | ||||
\(970\) | −1315.23 | − | 605.372i | −1.35591 | − | 0.624095i | ||||
\(971\) | −502.303 | − | 1212.67i | −0.517305 | − | 1.24888i | −0.939553 | − | 0.342404i | \(-0.888759\pi\) |
0.422248 | − | 0.906480i | \(-0.361241\pi\) | |||||||
\(972\) | 667.053 | − | 1313.07i | 0.686269 | − | 1.35089i | ||||
\(973\) | −28.9774 | + | 69.9576i | −0.0297815 | + | 0.0718988i | ||||
\(974\) | 761.762 | + | 29.4711i | 0.782096 | + | 0.0302579i | ||||
\(975\) | 268.993 | 0.275891 | ||||||||
\(976\) | −1292.94 | − | 788.048i | −1.32474 | − | 0.807426i | ||||
\(977\) | 1.17535i | 0.00120302i | 1.00000 | 0.000601512i | \(0.000191467\pi\) | |||||
−1.00000 | 0.000601512i | \(0.999809\pi\) | ||||||||
\(978\) | −1395.28 | − | 53.9809i | −1.42667 | − | 0.0551952i | ||||
\(979\) | −561.146 | − | 232.434i | −0.573183 | − | 0.237420i | ||||
\(980\) | −275.775 | − | 845.291i | −0.281404 | − | 0.862542i | ||||
\(981\) | −184.631 | + | 76.4767i | −0.188207 | + | 0.0779579i | ||||
\(982\) | −1354.91 | − | 623.634i | −1.37974 | − | 0.635065i | ||||
\(983\) | −1006.98 | + | 1006.98i | −1.02439 | + | 1.02439i | −0.0246998 | + | 0.999695i | \(0.507863\pi\) |
−0.999695 | + | 0.0246998i | \(0.992137\pi\) | |||||||
\(984\) | −615.252 | − | 343.102i | −0.625256 | − | 0.348681i | ||||
\(985\) | 196.972 | − | 196.972i | 0.199971 | − | 0.199971i | ||||
\(986\) | −5.86799 | − | 15.8765i | −0.00595130 | − | 0.0161019i | ||||
\(987\) | 226.718 | − | 93.9098i | 0.229704 | − | 0.0951467i | ||||
\(988\) | −62.5599 | − | 73.0702i | −0.0633198 | − | 0.0739577i | ||||
\(989\) | 22.2688 | + | 9.22405i | 0.0225165 | + | 0.00932665i | ||||
\(990\) | −1078.27 | + | 997.944i | −1.08916 | + | 1.00802i | ||||
\(991\) | 1294.48i | 1.30624i | 0.757256 | + | 0.653118i | \(0.226539\pi\) | ||||
−0.757256 | + | 0.653118i | \(0.773461\pi\) | |||||||
\(992\) | −851.739 | − | 1266.46i | −0.858607 | − | 1.27667i | ||||
\(993\) | 1767.71 | 1.78017 | ||||||||
\(994\) | −15.7890 | − | 17.0599i | −0.0158843 | − | 0.0171629i | ||||
\(995\) | −342.777 | + | 827.536i | −0.344499 | + | 0.831694i | ||||
\(996\) | −418.913 | − | 489.292i | −0.420596 | − | 0.491257i | ||||
\(997\) | 82.2498 | + | 198.568i | 0.0824973 | + | 0.199166i | 0.959746 | − | 0.280871i | \(-0.0906233\pi\) |
−0.877248 | + | 0.480037i | \(0.840623\pi\) | |||||||
\(998\) | −1180.28 | + | 436.235i | −1.18265 | + | 0.437109i | ||||
\(999\) | −1791.45 | − | 1791.45i | −1.79325 | − | 1.79325i |
(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 | 32.3.h.a.3.2 | ✓ | 28 | |
3.2 | odd | 2 | 288.3.u.a.163.6 | 28 | |||
4.3 | odd | 2 | 128.3.h.a.47.1 | 28 | |||
8.3 | odd | 2 | 256.3.h.a.95.7 | 28 | |||
8.5 | even | 2 | 256.3.h.b.95.1 | 28 | |||
32.5 | even | 8 | 256.3.h.a.159.7 | 28 | |||
32.11 | odd | 8 | inner | 32.3.h.a.11.2 | yes | 28 | |
32.21 | even | 8 | 128.3.h.a.79.1 | 28 | |||
32.27 | odd | 8 | 256.3.h.b.159.1 | 28 | |||
96.11 | even | 8 | 288.3.u.a.235.6 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.3.h.a.3.2 | ✓ | 28 | 1.1 | even | 1 | trivial | |
32.3.h.a.11.2 | yes | 28 | 32.11 | odd | 8 | inner | |
128.3.h.a.47.1 | 28 | 4.3 | odd | 2 | |||
128.3.h.a.79.1 | 28 | 32.21 | even | 8 | |||
256.3.h.a.95.7 | 28 | 8.3 | odd | 2 | |||
256.3.h.a.159.7 | 28 | 32.5 | even | 8 | |||
256.3.h.b.95.1 | 28 | 8.5 | even | 2 | |||
256.3.h.b.159.1 | 28 | 32.27 | odd | 8 | |||
288.3.u.a.163.6 | 28 | 3.2 | odd | 2 | |||
288.3.u.a.235.6 | 28 | 96.11 | even | 8 |