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 | 3.4 | ||
Character | \(\chi\) | \(=\) | 32.3 |
Dual form | 32.3.h.a.11.4 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.658450 | + | 1.88850i | −0.329225 | + | 0.944251i | ||||
\(3\) | −1.31872 | + | 3.18367i | −0.439573 | + | 1.06122i | 0.536524 | + | 0.843885i | \(0.319737\pi\) |
−0.976097 | + | 0.217337i | \(0.930263\pi\) | |||||||
\(4\) | −3.13289 | − | 2.48697i | −0.783222 | − | 0.621742i | ||||
\(5\) | −0.659338 | − | 1.59178i | −0.131868 | − | 0.318356i | 0.844130 | − | 0.536139i | \(-0.180118\pi\) |
−0.975997 | + | 0.217782i | \(0.930118\pi\) | |||||||
\(6\) | −5.14406 | − | 4.58669i | −0.857343 | − | 0.764448i | ||||
\(7\) | 9.54718 | + | 9.54718i | 1.36388 | + | 1.36388i | 0.868907 | + | 0.494975i | \(0.164823\pi\) |
0.494975 | + | 0.868907i | \(0.335177\pi\) | |||||||
\(8\) | 6.75950 | − | 4.27892i | 0.844937 | − | 0.534865i | ||||
\(9\) | −2.03276 | − | 2.03276i | −0.225863 | − | 0.225863i | ||||
\(10\) | 3.44023 | − | 0.197052i | 0.344023 | − | 0.0197052i | ||||
\(11\) | −3.96481 | − | 9.57189i | −0.360437 | − | 0.870172i | −0.995236 | − | 0.0974947i | \(-0.968917\pi\) |
0.634799 | − | 0.772677i | \(-0.281083\pi\) | |||||||
\(12\) | 12.0491 | − | 6.69446i | 1.00409 | − | 0.557872i | ||||
\(13\) | 1.91784 | − | 4.63007i | 0.147526 | − | 0.356159i | −0.832792 | − | 0.553587i | \(-0.813259\pi\) |
0.980317 | + | 0.197428i | \(0.0632587\pi\) | |||||||
\(14\) | −24.3162 | + | 11.7435i | −1.73687 | + | 0.838824i | ||||
\(15\) | 5.93719 | 0.395813 | ||||||||
\(16\) | 3.62996 | + | 15.5828i | 0.226873 | + | 0.973924i | ||||
\(17\) | − | 15.3143i | − | 0.900842i | −0.892816 | − | 0.450421i | \(-0.851274\pi\) | ||
0.892816 | − | 0.450421i | \(-0.148726\pi\) | |||||||
\(18\) | 5.17735 | − | 2.50041i | 0.287631 | − | 0.138912i | ||||
\(19\) | 0.827335 | + | 0.342693i | 0.0435439 | + | 0.0180365i | 0.404349 | − | 0.914605i | \(-0.367498\pi\) |
−0.360805 | + | 0.932641i | \(0.617498\pi\) | |||||||
\(20\) | −1.89308 | + | 6.62663i | −0.0946542 | + | 0.331331i | ||||
\(21\) | −42.9851 | + | 17.8050i | −2.04691 | + | 0.847857i | ||||
\(22\) | 20.6872 | − | 1.18494i | 0.940326 | − | 0.0538608i | ||||
\(23\) | −12.9230 | + | 12.9230i | −0.561871 | + | 0.561871i | −0.929839 | − | 0.367968i | \(-0.880054\pi\) |
0.367968 | + | 0.929839i | \(0.380054\pi\) | |||||||
\(24\) | 4.70879 | + | 27.1627i | 0.196199 | + | 1.13178i | ||||
\(25\) | 15.5786 | − | 15.5786i | 0.623145 | − | 0.623145i | ||||
\(26\) | 7.48110 | + | 6.67051i | 0.287735 | + | 0.256558i | ||||
\(27\) | −19.5007 | + | 8.07746i | −0.722249 | + | 0.299165i | ||||
\(28\) | −6.16668 | − | 53.6538i | −0.220239 | − | 1.91621i | ||||
\(29\) | 23.7905 | + | 9.85436i | 0.820363 | + | 0.339805i | 0.753080 | − | 0.657929i | \(-0.228567\pi\) |
0.0672825 | + | 0.997734i | \(0.478567\pi\) | |||||||
\(30\) | −3.90934 | + | 11.2124i | −0.130311 | + | 0.373747i | ||||
\(31\) | − | 25.1562i | − | 0.811491i | −0.913986 | − | 0.405746i | \(-0.867012\pi\) | ||
0.913986 | − | 0.405746i | \(-0.132988\pi\) | |||||||
\(32\) | −31.8183 | − | 3.40530i | −0.994322 | − | 0.106416i | ||||
\(33\) | 35.7022 | 1.08188 | ||||||||
\(34\) | 28.9211 | + | 10.0837i | 0.850621 | + | 0.296580i | ||||
\(35\) | 8.90221 | − | 21.4918i | 0.254349 | − | 0.614053i | ||||
\(36\) | 1.31300 | + | 11.4238i | 0.0364721 | + | 0.317329i | ||||
\(37\) | 13.6161 | + | 32.8721i | 0.368001 | + | 0.888434i | 0.994078 | + | 0.108672i | \(0.0346599\pi\) |
−0.626076 | + | 0.779762i | \(0.715340\pi\) | |||||||
\(38\) | −1.19194 | + | 1.33678i | −0.0313667 | + | 0.0351784i | ||||
\(39\) | 12.2115 | + | 12.2115i | 0.313116 | + | 0.313116i | ||||
\(40\) | −11.2679 | − | 7.93840i | −0.281698 | − | 0.198460i | ||||
\(41\) | −32.9116 | − | 32.9116i | −0.802721 | − | 0.802721i | 0.180799 | − | 0.983520i | \(-0.442132\pi\) |
−0.983520 | + | 0.180799i | \(0.942132\pi\) | |||||||
\(42\) | −5.32127 | − | 92.9012i | −0.126697 | − | 2.21193i | ||||
\(43\) | −17.9473 | − | 43.3286i | −0.417379 | − | 1.00764i | −0.983104 | − | 0.183048i | \(-0.941404\pi\) |
0.565725 | − | 0.824594i | \(-0.308596\pi\) | |||||||
\(44\) | −11.3837 | + | 39.8480i | −0.258721 | + | 0.905637i | ||||
\(45\) | −1.89544 | + | 4.57600i | −0.0421209 | + | 0.101689i | ||||
\(46\) | −15.8960 | − | 32.9143i | −0.345565 | − | 0.715529i | ||||
\(47\) | 20.1127 | 0.427930 | 0.213965 | − | 0.976841i | \(-0.431362\pi\) | ||||
0.213965 | + | 0.976841i | \(0.431362\pi\) | |||||||
\(48\) | −54.3973 | − | 8.99273i | −1.13328 | − | 0.187348i | ||||
\(49\) | 133.297i | 2.72035i | ||||||||
\(50\) | 19.1625 | + | 39.6780i | 0.383251 | + | 0.793561i | ||||
\(51\) | 48.7557 | + | 20.1953i | 0.955994 | + | 0.395986i | ||||
\(52\) | −17.5232 | + | 9.73588i | −0.336985 | + | 0.187228i | ||||
\(53\) | 35.0503 | − | 14.5183i | 0.661327 | − | 0.273931i | −0.0266698 | − | 0.999644i | \(-0.508490\pi\) |
0.687997 | + | 0.725714i | \(0.258490\pi\) | |||||||
\(54\) | −2.41406 | − | 42.1458i | −0.0447048 | − | 0.780477i | ||||
\(55\) | −12.6222 | + | 12.6222i | −0.229495 | + | 0.229495i | ||||
\(56\) | 105.386 | + | 23.6825i | 1.88189 | + | 0.422902i | ||||
\(57\) | −2.18204 | + | 2.18204i | −0.0382815 | + | 0.0382815i | ||||
\(58\) | −34.2749 | + | 38.4399i | −0.590946 | + | 0.662756i | ||||
\(59\) | −60.6706 | + | 25.1306i | −1.02832 | + | 0.425942i | −0.832104 | − | 0.554619i | \(-0.812864\pi\) |
−0.196212 | + | 0.980562i | \(0.562864\pi\) | |||||||
\(60\) | −18.6005 | − | 14.7656i | −0.310009 | − | 0.246093i | ||||
\(61\) | −27.9825 | − | 11.5907i | −0.458730 | − | 0.190012i | 0.141338 | − | 0.989961i | \(-0.454860\pi\) |
−0.600067 | + | 0.799949i | \(0.704860\pi\) | |||||||
\(62\) | 47.5076 | + | 16.5641i | 0.766252 | + | 0.267163i | ||||
\(63\) | − | 38.8143i | − | 0.616100i | ||||||
\(64\) | 27.3817 | − | 57.8467i | 0.427839 | − | 0.903855i | ||||
\(65\) | −8.63457 | −0.132839 | ||||||||
\(66\) | −23.5081 | + | 67.4237i | −0.356184 | + | 1.02157i | ||||
\(67\) | 1.13412 | − | 2.73801i | 0.0169272 | − | 0.0408659i | −0.915190 | − | 0.403023i | \(-0.867960\pi\) |
0.932117 | + | 0.362157i | \(0.117960\pi\) | |||||||
\(68\) | −38.0862 | + | 47.9780i | −0.560092 | + | 0.705559i | ||||
\(69\) | −24.1008 | − | 58.1845i | −0.349287 | − | 0.843253i | ||||
\(70\) | 34.7257 | + | 30.9632i | 0.496082 | + | 0.442331i | ||||
\(71\) | −45.6144 | − | 45.6144i | −0.642456 | − | 0.642456i | 0.308702 | − | 0.951159i | \(-0.400105\pi\) |
−0.951159 | + | 0.308702i | \(0.900105\pi\) | |||||||
\(72\) | −22.4385 | − | 5.04243i | −0.311646 | − | 0.0700338i | ||||
\(73\) | −29.1727 | − | 29.1727i | −0.399626 | − | 0.399626i | 0.478475 | − | 0.878101i | \(-0.341190\pi\) |
−0.878101 | + | 0.478475i | \(0.841190\pi\) | |||||||
\(74\) | −71.0445 | + | 4.06934i | −0.960060 | + | 0.0549911i | ||||
\(75\) | 29.0534 | + | 70.1410i | 0.387378 | + | 0.935213i | ||||
\(76\) | −1.73968 | − | 3.13118i | −0.0228905 | − | 0.0411997i | ||||
\(77\) | 53.5318 | − | 129.237i | 0.695219 | − | 1.67841i | ||||
\(78\) | −31.1022 | + | 15.0208i | −0.398746 | + | 0.192575i | ||||
\(79\) | 3.27983 | 0.0415169 | 0.0207584 | − | 0.999785i | \(-0.493392\pi\) | ||||
0.0207584 | + | 0.999785i | \(0.493392\pi\) | |||||||
\(80\) | 22.4110 | − | 16.0524i | 0.280138 | − | 0.200655i | ||||
\(81\) | − | 98.6086i | − | 1.21739i | ||||||
\(82\) | 83.8242 | − | 40.4830i | 1.02225 | − | 0.493695i | ||||
\(83\) | 56.7834 | + | 23.5205i | 0.684138 | + | 0.283379i | 0.697555 | − | 0.716531i | \(-0.254271\pi\) |
−0.0134176 | + | 0.999910i | \(0.504271\pi\) | |||||||
\(84\) | 178.948 | + | 51.1215i | 2.13033 | + | 0.608590i | ||||
\(85\) | −24.3770 | + | 10.0973i | −0.286789 | + | 0.118792i | ||||
\(86\) | 93.6436 | − | 5.36380i | 1.08888 | − | 0.0623697i | ||||
\(87\) | −62.7460 | + | 62.7460i | −0.721218 | + | 0.721218i | ||||
\(88\) | −67.7575 | − | 47.7361i | −0.769971 | − | 0.542456i | ||||
\(89\) | −44.5059 | + | 44.5059i | −0.500066 | + | 0.500066i | −0.911458 | − | 0.411392i | \(-0.865043\pi\) |
0.411392 | + | 0.911458i | \(0.365043\pi\) | |||||||
\(90\) | −7.39373 | − | 6.59261i | −0.0821525 | − | 0.0732512i | ||||
\(91\) | 62.5140 | − | 25.8942i | 0.686967 | − | 0.284551i | ||||
\(92\) | 72.6256 | − | 8.34720i | 0.789408 | − | 0.0907305i | ||||
\(93\) | 80.0891 | + | 33.1740i | 0.861173 | + | 0.356709i | ||||
\(94\) | −13.2432 | + | 37.9829i | −0.140885 | + | 0.404074i | ||||
\(95\) | − | 1.54289i | − | 0.0162409i | ||||||
\(96\) | 52.8007 | − | 96.8083i | 0.550008 | − | 1.00842i | ||||
\(97\) | −106.417 | −1.09708 | −0.548542 | − | 0.836123i | \(-0.684817\pi\) | ||||
−0.548542 | + | 0.836123i | \(0.684817\pi\) | |||||||
\(98\) | −251.732 | − | 87.7695i | −2.56869 | − | 0.895607i | ||||
\(99\) | −11.3979 | + | 27.5169i | −0.115130 | + | 0.277949i | ||||
\(100\) | −87.5496 | + | 10.0625i | −0.875496 | + | 0.100625i | ||||
\(101\) | 3.62243 | + | 8.74531i | 0.0358656 | + | 0.0865872i | 0.940797 | − | 0.338969i | \(-0.110078\pi\) |
−0.904932 | + | 0.425557i | \(0.860078\pi\) | |||||||
\(102\) | −70.2420 | + | 78.7777i | −0.688647 | + | 0.772330i | ||||
\(103\) | 26.0911 | + | 26.0911i | 0.253312 | + | 0.253312i | 0.822327 | − | 0.569015i | \(-0.192675\pi\) |
−0.569015 | + | 0.822327i | \(0.692675\pi\) | |||||||
\(104\) | −6.84808 | − | 39.5032i | −0.0658469 | − | 0.379839i | ||||
\(105\) | 56.6834 | + | 56.6834i | 0.539842 | + | 0.539842i | ||||
\(106\) | 4.33900 | + | 75.7523i | 0.0409340 | + | 0.714644i | ||||
\(107\) | 32.1753 | + | 77.6781i | 0.300704 | + | 0.725963i | 0.999939 | + | 0.0110713i | \(0.00352416\pi\) |
−0.699235 | + | 0.714892i | \(0.746476\pi\) | |||||||
\(108\) | 81.1820 | + | 23.1919i | 0.751685 | + | 0.214740i | ||||
\(109\) | −36.0541 | + | 87.0422i | −0.330771 | + | 0.798553i | 0.667760 | + | 0.744377i | \(0.267253\pi\) |
−0.998531 | + | 0.0541760i | \(0.982747\pi\) | |||||||
\(110\) | −15.5260 | − | 32.1482i | −0.141145 | − | 0.292256i | ||||
\(111\) | −122.609 | −1.10459 | ||||||||
\(112\) | −114.116 | + | 183.428i | −1.01889 | + | 1.63775i | ||||
\(113\) | − | 6.32445i | − | 0.0559686i | −0.999608 | − | 0.0279843i | \(-0.991091\pi\) | ||
0.999608 | − | 0.0279843i | \(-0.00890884\pi\) | |||||||
\(114\) | −2.68403 | − | 5.55756i | −0.0235441 | − | 0.0487506i | ||||
\(115\) | 29.0913 | + | 12.0500i | 0.252968 | + | 0.104783i | ||||
\(116\) | −50.0255 | − | 90.0389i | −0.431255 | − | 0.776197i | ||||
\(117\) | −13.3104 | + | 5.51333i | −0.113764 | + | 0.0471225i | ||||
\(118\) | −7.51063 | − | 131.124i | −0.0636494 | − | 1.11122i | ||||
\(119\) | 146.208 | − | 146.208i | 1.22864 | − | 1.22864i | ||||
\(120\) | 40.1324 | − | 25.4048i | 0.334437 | − | 0.211706i | ||||
\(121\) | 9.65850 | − | 9.65850i | 0.0798223 | − | 0.0798223i | ||||
\(122\) | 40.3142 | − | 45.2131i | 0.330444 | − | 0.370599i | ||||
\(123\) | 148.181 | − | 61.3784i | 1.20472 | − | 0.499011i | ||||
\(124\) | −62.5628 | + | 78.8116i | −0.504539 | + | 0.635577i | ||||
\(125\) | −74.8639 | − | 31.0096i | −0.598911 | − | 0.248077i | ||||
\(126\) | 73.3010 | + | 25.5573i | 0.581754 | + | 0.202836i | ||||
\(127\) | 34.6015i | 0.272453i | 0.990678 | + | 0.136226i | \(0.0434975\pi\) | ||||
−0.990678 | + | 0.136226i | \(0.956503\pi\) | |||||||
\(128\) | 91.2142 | + | 89.7996i | 0.712611 | + | 0.701559i | ||||
\(129\) | 161.611 | 1.25280 | ||||||||
\(130\) | 5.68543 | − | 16.3064i | 0.0437341 | − | 0.125434i | ||||
\(131\) | −68.0051 | + | 164.179i | −0.519123 | + | 1.25327i | 0.419320 | + | 0.907838i | \(0.362268\pi\) |
−0.938443 | + | 0.345434i | \(0.887732\pi\) | |||||||
\(132\) | −111.851 | − | 88.7903i | −0.847356 | − | 0.672654i | ||||
\(133\) | 4.62696 | + | 11.1705i | 0.0347892 | + | 0.0839885i | ||||
\(134\) | 4.42398 | + | 3.94464i | 0.0330148 | + | 0.0294376i | ||||
\(135\) | 25.7151 | + | 25.7151i | 0.190482 | + | 0.190482i | ||||
\(136\) | −65.5287 | − | 103.517i | −0.481829 | − | 0.761155i | ||||
\(137\) | 71.5748 | + | 71.5748i | 0.522444 | + | 0.522444i | 0.918309 | − | 0.395865i | \(-0.129555\pi\) |
−0.395865 | + | 0.918309i | \(0.629555\pi\) | |||||||
\(138\) | 125.751 | − | 7.20286i | 0.911237 | − | 0.0521946i | ||||
\(139\) | −75.1916 | − | 181.529i | −0.540947 | − | 1.30596i | −0.924056 | − | 0.382258i | \(-0.875147\pi\) |
0.383109 | − | 0.923703i | \(-0.374853\pi\) | |||||||
\(140\) | −81.3392 | + | 45.1920i | −0.580994 | + | 0.322800i | ||||
\(141\) | −26.5230 | + | 64.0322i | −0.188107 | + | 0.454129i | ||||
\(142\) | 116.178 | − | 56.1081i | 0.818153 | − | 0.395128i | ||||
\(143\) | −51.9224 | −0.363094 | ||||||||
\(144\) | 24.2973 | − | 39.0550i | 0.168731 | − | 0.271215i | ||||
\(145\) | − | 44.3667i | − | 0.305977i | ||||||
\(146\) | 74.3015 | − | 35.8840i | 0.508915 | − | 0.245781i | ||||
\(147\) | −424.374 | − | 175.781i | −2.88690 | − | 1.19579i | ||||
\(148\) | 39.0943 | − | 136.847i | 0.264150 | − | 0.924643i | ||||
\(149\) | 211.685 | − | 87.6826i | 1.42070 | − | 0.588474i | 0.465665 | − | 0.884961i | \(-0.345815\pi\) |
0.955037 | + | 0.296487i | \(0.0958152\pi\) | |||||||
\(150\) | −151.592 | + | 8.68299i | −1.01061 | + | 0.0578866i | ||||
\(151\) | 10.5820 | − | 10.5820i | 0.0700794 | − | 0.0700794i | −0.671198 | − | 0.741278i | \(-0.734220\pi\) |
0.741278 | + | 0.671198i | \(0.234220\pi\) | |||||||
\(152\) | 7.05873 | − | 1.22366i | 0.0464390 | − | 0.00805043i | ||||
\(153\) | −31.1304 | + | 31.1304i | −0.203467 | + | 0.203467i | ||||
\(154\) | 208.817 | + | 186.191i | 1.35595 | + | 1.20903i | ||||
\(155\) | −40.0432 | + | 16.5864i | −0.258343 | + | 0.107009i | ||||
\(156\) | −7.88763 | − | 68.6270i | −0.0505617 | − | 0.439917i | ||||
\(157\) | 26.9641 | + | 11.1689i | 0.171746 | + | 0.0711394i | 0.466900 | − | 0.884310i | \(-0.345371\pi\) |
−0.295154 | + | 0.955450i | \(0.595371\pi\) | |||||||
\(158\) | −2.15961 | + | 6.19398i | −0.0136684 | + | 0.0392024i | ||||
\(159\) | 130.734i | 0.822228i | ||||||||
\(160\) | 15.5585 | + | 52.8930i | 0.0972407 | + | 0.330581i | ||||
\(161\) | −246.757 | −1.53265 | ||||||||
\(162\) | 186.223 | + | 64.9288i | 1.14952 | + | 0.400795i | ||||
\(163\) | 111.743 | − | 269.771i | 0.685540 | − | 1.65504i | −0.0680396 | − | 0.997683i | \(-0.521674\pi\) |
0.753579 | − | 0.657357i | \(-0.228326\pi\) | |||||||
\(164\) | 21.2581 | + | 184.958i | 0.129623 | + | 1.12779i | ||||
\(165\) | −23.5398 | − | 56.8301i | −0.142665 | − | 0.344425i | ||||
\(166\) | −81.8075 | + | 91.7486i | −0.492816 | + | 0.552703i | ||||
\(167\) | −10.3664 | − | 10.3664i | −0.0620741 | − | 0.0620741i | 0.675388 | − | 0.737462i | \(-0.263976\pi\) |
−0.737462 | + | 0.675388i | \(0.763976\pi\) | |||||||
\(168\) | −214.371 | + | 304.283i | −1.27602 | + | 1.81121i | ||||
\(169\) | 101.742 | + | 101.742i | 0.602021 | + | 0.602021i | ||||
\(170\) | −3.01772 | − | 52.6847i | −0.0177513 | − | 0.309910i | ||||
\(171\) | −0.985162 | − | 2.37839i | −0.00576118 | − | 0.0139087i | ||||
\(172\) | −51.5301 | + | 180.378i | −0.299594 | + | 1.04871i | ||||
\(173\) | −88.6518 | + | 214.024i | −0.512438 | + | 1.23714i | 0.430022 | + | 0.902818i | \(0.358506\pi\) |
−0.942461 | + | 0.334317i | \(0.891494\pi\) | |||||||
\(174\) | −77.1809 | − | 159.811i | −0.443568 | − | 0.918455i | ||||
\(175\) | 297.464 | 1.69979 | ||||||||
\(176\) | 134.765 | − | 96.5284i | 0.765709 | − | 0.548457i | ||||
\(177\) | − | 226.295i | − | 1.27850i | ||||||
\(178\) | −54.7446 | − | 113.354i | −0.307554 | − | 0.636822i | ||||
\(179\) | 2.58312 | + | 1.06996i | 0.0144308 | + | 0.00597744i | 0.389887 | − | 0.920863i | \(-0.372514\pi\) |
−0.375456 | + | 0.926840i | \(0.622514\pi\) | |||||||
\(180\) | 17.3186 | − | 9.62218i | 0.0962142 | − | 0.0534565i | ||||
\(181\) | −184.394 | + | 76.3786i | −1.01875 | + | 0.421981i | −0.828640 | − | 0.559781i | \(-0.810885\pi\) |
−0.190112 | + | 0.981762i | \(0.560885\pi\) | |||||||
\(182\) | 7.73883 | + | 135.108i | 0.0425210 | + | 0.742351i | ||||
\(183\) | 73.8021 | − | 73.8021i | 0.403290 | − | 0.403290i | ||||
\(184\) | −32.0566 | + | 142.650i | −0.174221 | + | 0.775271i | ||||
\(185\) | 43.3476 | − | 43.3476i | 0.234311 | − | 0.234311i | ||||
\(186\) | −115.384 | + | 129.405i | −0.620343 | + | 0.695726i | ||||
\(187\) | −146.587 | + | 60.7183i | −0.783887 | + | 0.324697i | ||||
\(188\) | −63.0109 | − | 50.0197i | −0.335164 | − | 0.266062i | ||||
\(189\) | −263.294 | − | 109.060i | −1.39309 | − | 0.577036i | ||||
\(190\) | 2.91375 | + | 1.01591i | 0.0153355 | + | 0.00534692i | ||||
\(191\) | 185.771i | 0.972625i | 0.873785 | + | 0.486313i | \(0.161658\pi\) | ||||
−0.873785 | + | 0.486313i | \(0.838342\pi\) | |||||||
\(192\) | 148.056 | + | 163.458i | 0.771125 | + | 0.851342i | ||||
\(193\) | 208.055 | 1.07800 | 0.539002 | − | 0.842305i | \(-0.318802\pi\) | ||||
0.539002 | + | 0.842305i | \(0.318802\pi\) | |||||||
\(194\) | 70.0704 | − | 200.969i | 0.361188 | − | 1.03592i | ||||
\(195\) | 11.3866 | − | 27.4896i | 0.0583926 | − | 0.140972i | ||||
\(196\) | 331.506 | − | 417.605i | 1.69136 | − | 2.13064i | ||||
\(197\) | 123.852 | + | 299.006i | 0.628691 | + | 1.51780i | 0.841250 | + | 0.540647i | \(0.181820\pi\) |
−0.212558 | + | 0.977148i | \(0.568180\pi\) | |||||||
\(198\) | −44.4608 | − | 39.6434i | −0.224550 | − | 0.200219i | ||||
\(199\) | −253.762 | − | 253.762i | −1.27519 | − | 1.27519i | −0.943329 | − | 0.331858i | \(-0.892324\pi\) |
−0.331858 | − | 0.943329i | \(-0.607676\pi\) | |||||||
\(200\) | 38.6440 | − | 171.963i | 0.193220 | − | 0.859817i | ||||
\(201\) | 7.22134 | + | 7.22134i | 0.0359270 | + | 0.0359270i | ||||
\(202\) | −18.9007 | + | 1.08261i | −0.0935680 | + | 0.00535946i | ||||
\(203\) | 133.051 | + | 321.214i | 0.655424 | + | 1.58233i | ||||
\(204\) | −102.521 | − | 184.523i | −0.502554 | − | 0.904526i | ||||
\(205\) | −30.6882 | + | 74.0879i | −0.149699 | + | 0.361404i | ||||
\(206\) | −66.4529 | + | 32.0935i | −0.322587 | + | 0.155794i | ||||
\(207\) | 52.5389 | 0.253811 | ||||||||
\(208\) | 79.1111 | + | 13.0783i | 0.380342 | + | 0.0628764i | ||||
\(209\) | − | 9.27787i | − | 0.0443917i | ||||||
\(210\) | −144.370 | + | 69.7236i | −0.687476 | + | 0.332017i | ||||
\(211\) | 102.533 | + | 42.4705i | 0.485938 | + | 0.201282i | 0.612182 | − | 0.790717i | \(-0.290292\pi\) |
−0.126244 | + | 0.991999i | \(0.540292\pi\) | |||||||
\(212\) | −145.915 | − | 41.6849i | −0.688280 | − | 0.196627i | ||||
\(213\) | 205.374 | − | 85.0685i | 0.964195 | − | 0.399383i | ||||
\(214\) | −167.881 | + | 9.61603i | −0.784491 | + | 0.0449347i | ||||
\(215\) | −57.1364 | + | 57.1364i | −0.265751 | + | 0.265751i | ||||
\(216\) | −97.2523 | + | 138.042i | −0.450242 | + | 0.639082i | ||||
\(217\) | 240.171 | − | 240.171i | 1.10678 | − | 1.10678i | ||||
\(218\) | −140.640 | − | 125.401i | −0.645136 | − | 0.575235i | ||||
\(219\) | 131.347 | − | 54.4056i | 0.599757 | − | 0.248428i | ||||
\(220\) | 70.9351 | − | 8.15291i | 0.322432 | − | 0.0370587i | ||||
\(221\) | −70.9063 | − | 29.3704i | −0.320843 | − | 0.132898i | ||||
\(222\) | 80.7322 | − | 231.548i | 0.363659 | − | 1.04301i | ||||
\(223\) | 187.153i | 0.839252i | 0.907697 | + | 0.419626i | \(0.137839\pi\) | ||||
−0.907697 | + | 0.419626i | \(0.862161\pi\) | |||||||
\(224\) | −271.264 | − | 336.286i | −1.21100 | − | 1.50128i | ||||
\(225\) | −63.3353 | −0.281490 | ||||||||
\(226\) | 11.9437 | + | 4.16433i | 0.0528484 | + | 0.0184263i | ||||
\(227\) | −2.72348 | + | 6.57507i | −0.0119977 | + | 0.0289650i | −0.929765 | − | 0.368154i | \(-0.879990\pi\) |
0.917767 | + | 0.397119i | \(0.129990\pi\) | |||||||
\(228\) | 12.2628 | − | 1.40942i | 0.0537841 | − | 0.00618166i | ||||
\(229\) | −124.655 | − | 300.944i | −0.544345 | − | 1.31416i | −0.921631 | − | 0.388068i | \(-0.873143\pi\) |
0.377286 | − | 0.926097i | \(-0.376857\pi\) | |||||||
\(230\) | −41.9116 | + | 47.0047i | −0.182225 | + | 0.204368i | ||||
\(231\) | 340.855 | + | 340.855i | 1.47556 | + | 1.47556i | ||||
\(232\) | 202.978 | − | 35.1872i | 0.874905 | − | 0.151669i | ||||
\(233\) | −208.047 | − | 208.047i | −0.892904 | − | 0.892904i | 0.101891 | − | 0.994796i | \(-0.467511\pi\) |
−0.994796 | + | 0.101891i | \(0.967511\pi\) | |||||||
\(234\) | −1.64773 | − | 28.7669i | −0.00704160 | − | 0.122935i | ||||
\(235\) | −13.2611 | − | 32.0151i | −0.0564301 | − | 0.136234i | ||||
\(236\) | 252.573 | + | 72.1547i | 1.07023 | + | 0.305740i | ||||
\(237\) | −4.32518 | + | 10.4419i | −0.0182497 | + | 0.0440587i | ||||
\(238\) | 179.844 | + | 372.386i | 0.755647 | + | 1.56465i | ||||
\(239\) | −277.832 | −1.16248 | −0.581239 | − | 0.813733i | \(-0.697432\pi\) | ||||
−0.581239 | + | 0.813733i | \(0.697432\pi\) | |||||||
\(240\) | 21.5518 | + | 92.5180i | 0.0897990 | + | 0.385491i | ||||
\(241\) | 63.2696i | 0.262529i | 0.991347 | + | 0.131265i | \(0.0419038\pi\) | ||||
−0.991347 | + | 0.131265i | \(0.958096\pi\) | |||||||
\(242\) | 11.8805 | + | 24.5997i | 0.0490928 | + | 0.101652i | ||||
\(243\) | 138.431 | + | 57.3398i | 0.569673 | + | 0.235966i | ||||
\(244\) | 58.8402 | + | 105.904i | 0.241148 | + | 0.434033i | ||||
\(245\) | 212.180 | − | 87.8879i | 0.866041 | − | 0.358726i | ||||
\(246\) | 18.3438 | + | 320.254i | 0.0745682 | + | 1.30185i | ||||
\(247\) | 3.17339 | − | 3.17339i | 0.0128477 | − | 0.0128477i | ||||
\(248\) | −107.641 | − | 170.043i | −0.434038 | − | 0.685659i | ||||
\(249\) | −149.763 | + | 149.763i | −0.601457 | + | 0.601457i | ||||
\(250\) | 107.856 | − | 120.962i | 0.431424 | − | 0.483850i | ||||
\(251\) | 161.948 | − | 67.0812i | 0.645212 | − | 0.267256i | −0.0359886 | − | 0.999352i | \(-0.511458\pi\) |
0.681201 | + | 0.732097i | \(0.261458\pi\) | |||||||
\(252\) | −96.5300 | + | 121.601i | −0.383056 | + | 0.482543i | ||||
\(253\) | 174.935 | + | 72.4605i | 0.691443 | + | 0.286405i | ||||
\(254\) | −65.3451 | − | 22.7834i | −0.257264 | − | 0.0896983i | ||||
\(255\) | − | 90.9239i | − | 0.356564i | ||||||
\(256\) | −229.647 | + | 113.130i | −0.897058 | + | 0.441913i | ||||
\(257\) | −82.9690 | −0.322836 | −0.161418 | − | 0.986886i | \(-0.551607\pi\) | ||||
−0.161418 | + | 0.986886i | \(0.551607\pi\) | |||||||
\(258\) | −106.413 | + | 305.204i | −0.412454 | + | 1.18296i | ||||
\(259\) | −183.840 | + | 443.830i | −0.709809 | + | 1.71363i | ||||
\(260\) | 27.0511 | + | 21.4739i | 0.104043 | + | 0.0825919i | ||||
\(261\) | −28.3289 | − | 68.3921i | −0.108540 | − | 0.262039i | ||||
\(262\) | −265.274 | − | 236.531i | −1.01250 | − | 0.902791i | ||||
\(263\) | −148.394 | − | 148.394i | −0.564235 | − | 0.564235i | 0.366272 | − | 0.930508i | \(-0.380634\pi\) |
−0.930508 | + | 0.366272i | \(0.880634\pi\) | |||||||
\(264\) | 241.329 | − | 152.767i | 0.914125 | − | 0.578662i | ||||
\(265\) | −46.2200 | − | 46.2200i | −0.174415 | − | 0.174415i | ||||
\(266\) | −24.1421 | + | 1.38283i | −0.0907597 | + | 0.00519861i | ||||
\(267\) | −83.0012 | − | 200.383i | −0.310866 | − | 0.750497i | ||||
\(268\) | −10.3624 | + | 5.75736i | −0.0386658 | + | 0.0214827i | ||||
\(269\) | 78.7117 | − | 190.027i | 0.292609 | − | 0.706420i | −0.707391 | − | 0.706822i | \(-0.750128\pi\) |
1.00000 | 0.000402393i | \(0.000128086\pi\) | ||||||||
\(270\) | −65.4952 | + | 31.6310i | −0.242575 | + | 0.117152i | ||||
\(271\) | −29.7996 | −0.109962 | −0.0549809 | − | 0.998487i | \(-0.517510\pi\) | ||||
−0.0549809 | + | 0.998487i | \(0.517510\pi\) | |||||||
\(272\) | 238.640 | − | 55.5903i | 0.877352 | − | 0.204376i | ||||
\(273\) | 233.171i | 0.854106i | ||||||||
\(274\) | −182.298 | + | 88.0408i | −0.665320 | + | 0.321317i | ||||
\(275\) | −210.883 | − | 87.3507i | −0.766848 | − | 0.317639i | ||||
\(276\) | −69.1980 | + | 242.223i | −0.250717 | + | 0.877621i | ||||
\(277\) | −368.831 | + | 152.775i | −1.33152 | + | 0.551534i | −0.931089 | − | 0.364793i | \(-0.881140\pi\) |
−0.400431 | + | 0.916327i | \(0.631140\pi\) | |||||||
\(278\) | 392.327 | − | 22.4721i | 1.41125 | − | 0.0808347i | ||||
\(279\) | −51.1367 | + | 51.1367i | −0.183286 | + | 0.183286i | ||||
\(280\) | −31.7874 | − | 183.366i | −0.113526 | − | 0.654878i | ||||
\(281\) | −280.258 | + | 280.258i | −0.997358 | + | 0.997358i | −0.999997 | − | 0.00263807i | \(-0.999160\pi\) |
0.00263807 | + | 0.999997i | \(0.499160\pi\) | |||||||
\(282\) | −103.461 | − | 92.2509i | −0.366883 | − | 0.327131i | ||||
\(283\) | −176.650 | + | 73.1708i | −0.624204 | + | 0.258554i | −0.672288 | − | 0.740289i | \(-0.734688\pi\) |
0.0480840 | + | 0.998843i | \(0.484688\pi\) | |||||||
\(284\) | 29.4631 | + | 256.346i | 0.103743 | + | 0.902628i | ||||
\(285\) | 4.91204 | + | 2.03463i | 0.0172352 | + | 0.00713907i | ||||
\(286\) | 34.1883 | − | 98.0556i | 0.119540 | − | 0.342852i | ||||
\(287\) | − | 628.425i | − | 2.18963i | ||||||
\(288\) | 57.7569 | + | 71.6013i | 0.200545 | + | 0.248615i | ||||
\(289\) | 54.4719 | 0.188484 | ||||||||
\(290\) | 83.7866 | + | 29.2132i | 0.288919 | + | 0.100735i | ||||
\(291\) | 140.334 | − | 338.797i | 0.482249 | − | 1.16425i | ||||
\(292\) | 18.8432 | + | 163.946i | 0.0645313 | + | 0.561461i | ||||
\(293\) | 11.3590 | + | 27.4231i | 0.0387679 | + | 0.0935940i | 0.942078 | − | 0.335395i | \(-0.108870\pi\) |
−0.903310 | + | 0.428989i | \(0.858870\pi\) | |||||||
\(294\) | 611.393 | − | 685.688i | 2.07957 | − | 2.33227i | ||||
\(295\) | 80.0049 | + | 80.0049i | 0.271203 | + | 0.271203i | ||||
\(296\) | 232.695 | + | 163.937i | 0.786130 | + | 0.553840i | ||||
\(297\) | 154.633 | + | 154.633i | 0.520651 | + | 0.520651i | ||||
\(298\) | 26.2052 | + | 457.502i | 0.0879368 | + | 1.53524i | ||||
\(299\) | 35.0503 | + | 84.6188i | 0.117225 | + | 0.283006i | ||||
\(300\) | 83.4177 | − | 291.999i | 0.278059 | − | 0.973329i | ||||
\(301\) | 242.320 | − | 585.012i | 0.805049 | − | 1.94356i | ||||
\(302\) | 13.0164 | + | 26.9518i | 0.0431007 | + | 0.0892444i | ||||
\(303\) | −32.6191 | −0.107654 | ||||||||
\(304\) | −2.33693 | + | 14.1362i | −0.00768726 | + | 0.0465005i | ||||
\(305\) | 52.1843i | 0.171096i | ||||||||
\(306\) | −38.2920 | − | 79.2876i | −0.125137 | − | 0.259110i | ||||
\(307\) | 463.833 | + | 192.126i | 1.51086 | + | 0.625817i | 0.975734 | − | 0.218957i | \(-0.0702655\pi\) |
0.535122 | + | 0.844775i | \(0.320266\pi\) | |||||||
\(308\) | −489.118 | + | 271.754i | −1.58805 | + | 0.882317i | ||||
\(309\) | −117.472 | + | 48.6586i | −0.380169 | + | 0.157471i | ||||
\(310\) | −4.95709 | − | 86.5431i | −0.0159906 | − | 0.279171i | ||||
\(311\) | 230.516 | − | 230.516i | 0.741210 | − | 0.741210i | −0.231601 | − | 0.972811i | \(-0.574396\pi\) |
0.972811 | + | 0.231601i | \(0.0743963\pi\) | |||||||
\(312\) | 134.796 | + | 30.2916i | 0.432038 | + | 0.0970886i | ||||
\(313\) | 2.89884 | − | 2.89884i | 0.00926146 | − | 0.00926146i | −0.702461 | − | 0.711722i | \(-0.747915\pi\) |
0.711722 | + | 0.702461i | \(0.247915\pi\) | |||||||
\(314\) | −38.8469 | + | 43.5676i | −0.123716 | + | 0.138750i | ||||
\(315\) | −61.7839 | + | 25.5917i | −0.196139 | + | 0.0812436i | ||||
\(316\) | −10.2753 | − | 8.15685i | −0.0325169 | − | 0.0258128i | ||||
\(317\) | 510.087 | + | 211.285i | 1.60911 | + | 0.666514i | 0.992666 | − | 0.120887i | \(-0.0385738\pi\) |
0.616441 | + | 0.787401i | \(0.288574\pi\) | |||||||
\(318\) | −246.892 | − | 86.0820i | −0.776390 | − | 0.270698i | ||||
\(319\) | − | 266.791i | − | 0.836335i | ||||||
\(320\) | −110.133 | − | 5.44514i | −0.344166 | − | 0.0170161i | ||||
\(321\) | −289.731 | −0.902590 | ||||||||
\(322\) | 162.477 | − | 466.001i | 0.504587 | − | 1.44721i | ||||
\(323\) | 5.24811 | − | 12.6701i | 0.0162480 | − | 0.0392262i | ||||
\(324\) | −245.237 | + | 308.930i | −0.756903 | + | 0.953486i | ||||
\(325\) | −42.2528 | − | 102.007i | −0.130009 | − | 0.313869i | ||||
\(326\) | 435.887 | + | 388.658i | 1.33708 | + | 1.19220i | ||||
\(327\) | −229.568 | − | 229.568i | −0.702044 | − | 0.702044i | ||||
\(328\) | −363.292 | − | 81.6397i | −1.10760 | − | 0.248902i | ||||
\(329\) | 192.020 | + | 192.020i | 0.583647 | + | 0.583647i | ||||
\(330\) | 122.824 | − | 7.03520i | 0.372193 | − | 0.0213188i | ||||
\(331\) | −95.3030 | − | 230.082i | −0.287924 | − | 0.695111i | 0.712051 | − | 0.702128i | \(-0.247766\pi\) |
−0.999975 | + | 0.00701670i | \(0.997766\pi\) | |||||||
\(332\) | −119.401 | − | 214.906i | −0.359643 | − | 0.647306i | ||||
\(333\) | 39.1429 | − | 94.4994i | 0.117546 | − | 0.283782i | ||||
\(334\) | 26.4027 | − | 12.7512i | 0.0790499 | − | 0.0381772i | ||||
\(335\) | −5.10609 | −0.0152421 | ||||||||
\(336\) | −433.486 | − | 605.196i | −1.29014 | − | 1.80118i | ||||
\(337\) | 203.997i | 0.605334i | 0.953096 | + | 0.302667i | \(0.0978769\pi\) | ||||
−0.953096 | + | 0.302667i | \(0.902123\pi\) | |||||||
\(338\) | −259.131 | + | 125.148i | −0.766660 | + | 0.370259i | ||||
\(339\) | 20.1349 | + | 8.34017i | 0.0593951 | + | 0.0246023i | ||||
\(340\) | 101.482 | + | 28.9913i | 0.298477 | + | 0.0852684i | ||||
\(341\) | −240.793 | + | 99.7396i | −0.706137 | + | 0.292491i | ||||
\(342\) | 5.14028 | − | 0.294429i | 0.0150301 | − | 0.000860904i | ||||
\(343\) | −804.800 | + | 804.800i | −2.34636 | + | 2.34636i | ||||
\(344\) | −306.714 | − | 216.085i | −0.891612 | − | 0.628153i | ||||
\(345\) | −76.7264 | + | 76.7264i | −0.222395 | + | 0.222395i | ||||
\(346\) | −345.813 | − | 308.344i | −0.999459 | − | 0.891167i | ||||
\(347\) | −120.709 | + | 49.9993i | −0.347865 | + | 0.144090i | −0.549773 | − | 0.835314i | \(-0.685286\pi\) |
0.201908 | + | 0.979404i | \(0.435286\pi\) | |||||||
\(348\) | 352.624 | − | 40.5287i | 1.01329 | − | 0.116462i | ||||
\(349\) | 279.116 | + | 115.614i | 0.799759 | + | 0.331271i | 0.744860 | − | 0.667221i | \(-0.232516\pi\) |
0.0548993 | + | 0.998492i | \(0.482516\pi\) | |||||||
\(350\) | −195.865 | + | 561.761i | −0.559614 | + | 1.60503i | ||||
\(351\) | 105.781i | 0.301370i | ||||||||
\(352\) | 93.5583 | + | 318.063i | 0.265791 | + | 0.903587i | ||||
\(353\) | 608.156 | 1.72282 | 0.861410 | − | 0.507910i | \(-0.169582\pi\) | ||||
0.861410 | + | 0.507910i | \(0.169582\pi\) | |||||||
\(354\) | 427.359 | + | 149.004i | 1.20723 | + | 0.420916i | ||||
\(355\) | −42.5329 | + | 102.683i | −0.119811 | + | 0.289249i | ||||
\(356\) | 250.117 | − | 28.7471i | 0.702575 | − | 0.0807503i | ||||
\(357\) | 272.671 | + | 658.287i | 0.763785 | + | 1.84394i | ||||
\(358\) | −3.72148 | + | 4.17371i | −0.0103952 | + | 0.0116584i | ||||
\(359\) | 196.029 | + | 196.029i | 0.546041 | + | 0.546041i | 0.925293 | − | 0.379252i | \(-0.123819\pi\) |
−0.379252 | + | 0.925293i | \(0.623819\pi\) | |||||||
\(360\) | 6.76810 | + | 39.0419i | 0.0188003 | + | 0.108450i | ||||
\(361\) | −254.699 | − | 254.699i | −0.705536 | − | 0.705536i | ||||
\(362\) | −22.8268 | − | 398.521i | −0.0630574 | − | 1.10089i | ||||
\(363\) | 18.0126 | + | 43.4863i | 0.0496215 | + | 0.119797i | ||||
\(364\) | −260.247 | − | 74.3470i | −0.714965 | − | 0.204250i | ||||
\(365\) | −27.2019 | + | 65.6713i | −0.0745259 | + | 0.179921i | ||||
\(366\) | 90.7805 | + | 187.970i | 0.248034 | + | 0.513581i | ||||
\(367\) | −33.0375 | −0.0900203 | −0.0450102 | − | 0.998987i | \(-0.514332\pi\) | ||||
−0.0450102 | + | 0.998987i | \(0.514332\pi\) | |||||||
\(368\) | −248.287 | − | 154.467i | −0.674693 | − | 0.419747i | ||||
\(369\) | 133.803i | 0.362609i | ||||||||
\(370\) | 53.3198 | + | 110.404i | 0.144108 | + | 0.298390i | ||||
\(371\) | 473.241 | + | 196.023i | 1.27558 | + | 0.528363i | ||||
\(372\) | −168.407 | − | 303.109i | −0.452708 | − | 0.814810i | ||||
\(373\) | 115.583 | − | 47.8760i | 0.309874 | − | 0.128354i | −0.222327 | − | 0.974972i | \(-0.571365\pi\) |
0.532201 | + | 0.846618i | \(0.321365\pi\) | |||||||
\(374\) | −18.1465 | − | 316.810i | −0.0485200 | − | 0.847085i | ||||
\(375\) | 197.449 | − | 197.449i | 0.526530 | − | 0.526530i | ||||
\(376\) | 135.952 | − | 86.0608i | 0.361574 | − | 0.228885i | ||||
\(377\) | 91.2527 | − | 91.2527i | 0.242050 | − | 0.242050i | ||||
\(378\) | 379.326 | − | 425.421i | 1.00351 | − | 1.12545i | ||||
\(379\) | 164.874 | − | 68.2930i | 0.435024 | − | 0.180193i | −0.154415 | − | 0.988006i | \(-0.549349\pi\) |
0.589438 | + | 0.807813i | \(0.299349\pi\) | |||||||
\(380\) | −3.83712 | + | 4.83369i | −0.0100977 | + | 0.0127202i | ||||
\(381\) | −110.160 | − | 45.6297i | −0.289133 | − | 0.119763i | ||||
\(382\) | −350.830 | − | 122.321i | −0.918403 | − | 0.320213i | ||||
\(383\) | − | 307.309i | − | 0.802373i | −0.915996 | − | 0.401186i | \(-0.868598\pi\) | ||
0.915996 | − | 0.401186i | \(-0.131402\pi\) | |||||||
\(384\) | −406.178 | + | 171.976i | −1.05776 | + | 0.447853i | ||||
\(385\) | −241.013 | −0.626008 | ||||||||
\(386\) | −136.994 | + | 392.912i | −0.354906 | + | 1.01791i | ||||
\(387\) | −51.5942 | + | 124.559i | −0.133318 | + | 0.321859i | ||||
\(388\) | 333.393 | + | 264.656i | 0.859261 | + | 0.682104i | ||||
\(389\) | −204.874 | − | 494.611i | −0.526669 | − | 1.27149i | −0.933693 | − | 0.358075i | \(-0.883433\pi\) |
0.407024 | − | 0.913418i | \(-0.366567\pi\) | |||||||
\(390\) | 44.4167 | + | 39.6041i | 0.113889 | + | 0.101549i | ||||
\(391\) | 197.907 | + | 197.907i | 0.506157 | + | 0.506157i | ||||
\(392\) | 570.368 | + | 901.022i | 1.45502 | + | 2.29853i | ||||
\(393\) | −433.011 | − | 433.011i | −1.10181 | − | 1.10181i | ||||
\(394\) | −646.224 | + | 37.0149i | −1.64016 | + | 0.0939465i | ||||
\(395\) | −2.16252 | − | 5.22078i | −0.00547473 | − | 0.0132172i | ||||
\(396\) | 104.142 | − | 57.8612i | 0.262985 | − | 0.146114i | ||||
\(397\) | −224.796 | + | 542.706i | −0.566237 | + | 1.36702i | 0.338467 | + | 0.940978i | \(0.390092\pi\) |
−0.904705 | + | 0.426040i | \(0.859908\pi\) | |||||||
\(398\) | 646.321 | − | 312.141i | 1.62392 | − | 0.784274i | ||||
\(399\) | −41.6647 | −0.104423 | ||||||||
\(400\) | 299.308 | + | 186.209i | 0.748271 | + | 0.465522i | ||||
\(401\) | − | 125.790i | − | 0.313691i | −0.987623 | − | 0.156846i | \(-0.949868\pi\) | ||
0.987623 | − | 0.156846i | \(-0.0501325\pi\) | |||||||
\(402\) | −18.3924 | + | 8.88263i | −0.0457522 | + | 0.0220961i | ||||
\(403\) | −116.475 | − | 48.2456i | −0.289020 | − | 0.119716i | ||||
\(404\) | 10.4007 | − | 36.4069i | 0.0257442 | − | 0.0901162i | ||||
\(405\) | −156.963 | + | 65.0164i | −0.387564 | + | 0.160534i | ||||
\(406\) | −694.220 | + | 39.7641i | −1.70990 | + | 0.0979412i | ||||
\(407\) | 260.663 | − | 260.663i | 0.640449 | − | 0.640449i | ||||
\(408\) | 415.978 | − | 72.1118i | 1.01955 | − | 0.176745i | ||||
\(409\) | 492.952 | − | 492.952i | 1.20526 | − | 1.20526i | 0.232717 | − | 0.972544i | \(-0.425238\pi\) |
0.972544 | − | 0.232717i | \(-0.0747617\pi\) | |||||||
\(410\) | −119.708 | − | 106.738i | −0.291972 | − | 0.260336i | ||||
\(411\) | −322.257 | + | 133.483i | −0.784081 | + | 0.324777i | ||||
\(412\) | −16.8527 | − | 146.628i | −0.0409046 | − | 0.355894i | ||||
\(413\) | −819.159 | − | 339.307i | −1.98344 | − | 0.821567i | ||||
\(414\) | −34.5943 | + | 99.2199i | −0.0835610 | + | 0.239662i | ||||
\(415\) | − | 105.895i | − | 0.255168i | ||||||
\(416\) | −76.7891 | + | 140.790i | −0.184589 | + | 0.338438i | ||||
\(417\) | 677.084 | 1.62370 | ||||||||
\(418\) | 17.5213 | + | 6.10902i | 0.0419170 | + | 0.0146149i | ||||
\(419\) | 203.456 | − | 491.187i | 0.485576 | − | 1.17228i | −0.471349 | − | 0.881947i | \(-0.656233\pi\) |
0.956925 | − | 0.290336i | \(-0.0937672\pi\) | |||||||
\(420\) | −36.6128 | − | 318.552i | −0.0871732 | − | 0.758458i | ||||
\(421\) | −0.995616 | − | 2.40363i | −0.00236488 | − | 0.00570934i | 0.922693 | − | 0.385536i | \(-0.125984\pi\) |
−0.925058 | + | 0.379827i | \(0.875984\pi\) | |||||||
\(422\) | −147.718 | + | 165.669i | −0.350044 | + | 0.392580i | ||||
\(423\) | −40.8844 | − | 40.8844i | −0.0966535 | − | 0.0966535i | ||||
\(424\) | 174.800 | − | 248.114i | 0.412264 | − | 0.585175i | ||||
\(425\) | −238.576 | − | 238.576i | −0.561355 | − | 0.561355i | ||||
\(426\) | 25.4239 | + | 443.862i | 0.0596805 | + | 1.04193i | ||||
\(427\) | −156.495 | − | 377.813i | −0.366499 | − | 0.884807i | ||||
\(428\) | 92.3814 | − | 323.376i | 0.215844 | − | 0.755551i | ||||
\(429\) | 68.4710 | − | 165.304i | 0.159606 | − | 0.385323i | ||||
\(430\) | −70.2808 | − | 145.524i | −0.163444 | − | 0.338427i | ||||
\(431\) | 404.244 | 0.937920 | 0.468960 | − | 0.883219i | \(-0.344629\pi\) | ||||
0.468960 | + | 0.883219i | \(0.344629\pi\) | |||||||
\(432\) | −196.656 | − | 274.555i | −0.455223 | − | 0.635544i | ||||
\(433\) | 446.431i | 1.03102i | 0.856884 | + | 0.515509i | \(0.172397\pi\) | ||||
−0.856884 | + | 0.515509i | \(0.827603\pi\) | |||||||
\(434\) | 295.423 | + | 611.704i | 0.680698 | + | 1.40946i | ||||
\(435\) | 141.249 | + | 58.5072i | 0.324710 | + | 0.134499i | ||||
\(436\) | 329.425 | − | 183.028i | 0.755561 | − | 0.419789i | ||||
\(437\) | −15.1203 | + | 6.26304i | −0.0346003 | + | 0.0143319i | ||||
\(438\) | 16.2599 | + | 283.872i | 0.0371230 | + | 0.648110i | ||||
\(439\) | −203.077 | + | 203.077i | −0.462590 | + | 0.462590i | −0.899503 | − | 0.436914i | \(-0.856072\pi\) |
0.436914 | + | 0.899503i | \(0.356072\pi\) | |||||||
\(440\) | −31.3104 | + | 139.329i | −0.0711600 | + | 0.316658i | ||||
\(441\) | 270.962 | − | 270.962i | 0.614426 | − | 0.614426i | ||||
\(442\) | 102.154 | − | 114.568i | 0.231118 | − | 0.259203i | ||||
\(443\) | −440.203 | + | 182.338i | −0.993685 | + | 0.411598i | −0.819478 | − | 0.573111i | \(-0.805736\pi\) |
−0.174207 | + | 0.984709i | \(0.555736\pi\) | |||||||
\(444\) | 384.122 | + | 304.926i | 0.865139 | + | 0.686770i | ||||
\(445\) | 100.188 | + | 41.4993i | 0.225142 | + | 0.0932568i | ||||
\(446\) | −353.439 | − | 123.231i | −0.792465 | − | 0.276303i | ||||
\(447\) | 789.562i | 1.76636i | ||||||||
\(448\) | 813.691 | − | 290.855i | 1.81627 | − | 0.649230i | ||||
\(449\) | −636.256 | −1.41705 | −0.708526 | − | 0.705685i | \(-0.750639\pi\) | ||||
−0.708526 | + | 0.705685i | \(0.750639\pi\) | |||||||
\(450\) | 41.7032 | − | 119.609i | 0.0926737 | − | 0.265798i | ||||
\(451\) | −184.538 | + | 445.514i | −0.409175 | + | 0.987836i | ||||
\(452\) | −15.7287 | + | 19.8138i | −0.0347980 | + | 0.0438358i | ||||
\(453\) | 19.7349 | + | 47.6442i | 0.0435648 | + | 0.105175i | ||||
\(454\) | −10.6238 | − | 9.47266i | −0.0234003 | − | 0.0208649i | ||||
\(455\) | −82.4357 | − | 82.4357i | −0.181177 | − | 0.181177i | ||||
\(456\) | −5.41273 | + | 24.0863i | −0.0118700 | + | 0.0528209i | ||||
\(457\) | −359.285 | − | 359.285i | −0.786181 | − | 0.786181i | 0.194685 | − | 0.980866i | \(-0.437632\pi\) |
−0.980866 | + | 0.194685i | \(0.937632\pi\) | |||||||
\(458\) | 650.412 | − | 37.2549i | 1.42011 | − | 0.0813425i | ||||
\(459\) | 123.701 | + | 298.640i | 0.269501 | + | 0.650632i | ||||
\(460\) | −61.1717 | − | 110.100i | −0.132982 | − | 0.239349i | ||||
\(461\) | 68.2156 | − | 164.687i | 0.147973 | − | 0.357239i | −0.832462 | − | 0.554083i | \(-0.813069\pi\) |
0.980435 | + | 0.196844i | \(0.0630692\pi\) | |||||||
\(462\) | −868.142 | + | 419.270i | −1.87910 | + | 0.907511i | ||||
\(463\) | 662.155 | 1.43014 | 0.715070 | − | 0.699053i | \(-0.246395\pi\) | ||||
0.715070 | + | 0.699053i | \(0.246395\pi\) | |||||||
\(464\) | −67.1997 | + | 406.494i | −0.144827 | + | 0.876064i | ||||
\(465\) | − | 149.357i | − | 0.321198i | ||||||
\(466\) | 529.885 | − | 255.908i | 1.13709 | − | 0.549160i | ||||
\(467\) | −854.762 | − | 354.054i | −1.83033 | − | 0.758146i | −0.967607 | − | 0.252461i | \(-0.918760\pi\) |
−0.862718 | − | 0.505685i | \(-0.831240\pi\) | |||||||
\(468\) | 55.4113 | + | 15.8298i | 0.118400 | + | 0.0338244i | ||||
\(469\) | 36.9680 | − | 15.3126i | 0.0788229 | − | 0.0326495i | ||||
\(470\) | 69.1923 | − | 3.96326i | 0.147218 | − | 0.00843246i | ||||
\(471\) | −71.1160 | + | 71.1160i | −0.150989 | + | 0.150989i | ||||
\(472\) | −302.571 | + | 429.475i | −0.641041 | + | 0.909905i | ||||
\(473\) | −343.579 | + | 343.579i | −0.726383 | + | 0.726383i | ||||
\(474\) | −16.8717 | − | 15.0436i | −0.0355942 | − | 0.0317375i | ||||
\(475\) | 18.2274 | − | 7.55005i | 0.0383735 | − | 0.0158948i | ||||
\(476\) | −821.670 | + | 94.4385i | −1.72620 | + | 0.198400i | ||||
\(477\) | −100.761 | − | 41.7367i | −0.211240 | − | 0.0874984i | ||||
\(478\) | 182.939 | − | 524.687i | 0.382717 | − | 1.09767i | ||||
\(479\) | 926.802i | 1.93487i | 0.253122 | + | 0.967434i | \(0.418542\pi\) | ||||
−0.253122 | + | 0.967434i | \(0.581458\pi\) | |||||||
\(480\) | −188.911 | − | 20.2179i | −0.393565 | − | 0.0421206i | ||||
\(481\) | 178.313 | 0.370714 | ||||||||
\(482\) | −119.485 | − | 41.6599i | −0.247894 | − | 0.0864312i | ||||
\(483\) | 325.403 | − | 785.592i | 0.673712 | − | 1.62648i | ||||
\(484\) | −54.2794 | + | 6.23859i | −0.112147 | + | 0.0128896i | ||||
\(485\) | 70.1649 | + | 169.393i | 0.144670 | + | 0.349264i | ||||
\(486\) | −199.436 | + | 223.671i | −0.410362 | + | 0.460229i | ||||
\(487\) | 586.001 | + | 586.001i | 1.20329 | + | 1.20329i | 0.973161 | + | 0.230127i | \(0.0739141\pi\) |
0.230127 | + | 0.973161i | \(0.426086\pi\) | |||||||
\(488\) | −238.744 | + | 41.3874i | −0.489229 | + | 0.0848102i | ||||
\(489\) | 711.505 | + | 711.505i | 1.45502 | + | 1.45502i | ||||
\(490\) | 26.2665 | + | 458.572i | 0.0536051 | + | 0.935862i | ||||
\(491\) | −17.1543 | − | 41.4142i | −0.0349375 | − | 0.0843466i | 0.905448 | − | 0.424458i | \(-0.139535\pi\) |
−0.940385 | + | 0.340111i | \(0.889535\pi\) | |||||||
\(492\) | −616.879 | − | 176.229i | −1.25382 | − | 0.358189i | ||||
\(493\) | 150.913 | − | 364.335i | 0.306111 | − | 0.739017i | ||||
\(494\) | 3.90344 | + | 8.08247i | 0.00790169 | + | 0.0163613i | ||||
\(495\) | 51.3160 | 0.103669 | ||||||||
\(496\) | 392.004 | − | 91.3161i | 0.790331 | − | 0.184105i | ||||
\(497\) | − | 870.977i | − | 1.75247i | ||||||
\(498\) | −184.216 | − | 381.439i | −0.369912 | − | 0.765941i | ||||
\(499\) | −143.291 | − | 59.3531i | −0.287156 | − | 0.118944i | 0.234456 | − | 0.972127i | \(-0.424669\pi\) |
−0.521612 | + | 0.853183i | \(0.674669\pi\) | |||||||
\(500\) | 157.420 | + | 283.334i | 0.314840 | + | 0.566668i | ||||
\(501\) | 46.6734 | − | 19.3328i | 0.0931605 | − | 0.0385884i | ||||
\(502\) | 20.0481 | + | 350.009i | 0.0399365 | + | 0.697230i | ||||
\(503\) | 74.0929 | − | 74.0929i | 0.147302 | − | 0.147302i | −0.629610 | − | 0.776912i | \(-0.716785\pi\) |
0.776912 | + | 0.629610i | \(0.216785\pi\) | |||||||
\(504\) | −166.083 | − | 262.365i | −0.329531 | − | 0.520566i | ||||
\(505\) | 11.5322 | − | 11.5322i | 0.0228361 | − | 0.0228361i | ||||
\(506\) | −252.028 | + | 282.654i | −0.498079 | + | 0.558605i | ||||
\(507\) | −458.080 | + | 189.743i | −0.903511 | + | 0.374246i | ||||
\(508\) | 86.0529 | − | 108.403i | 0.169396 | − | 0.213391i | ||||
\(509\) | 467.540 | + | 193.661i | 0.918546 | + | 0.380474i | 0.791322 | − | 0.611400i | \(-0.209393\pi\) |
0.127224 | + | 0.991874i | \(0.459393\pi\) | |||||||
\(510\) | 171.710 | + | 59.8689i | 0.336686 | + | 0.117390i | ||||
\(511\) | − | 557.034i | − | 1.09009i | ||||||
\(512\) | −62.4351 | − | 508.179i | −0.121944 | − | 0.992537i | ||||
\(513\) | −18.9017 | −0.0368455 | ||||||||
\(514\) | 54.6309 | − | 156.687i | 0.106286 | − | 0.304839i | ||||
\(515\) | 24.3285 | − | 58.7343i | 0.0472399 | − | 0.114047i | ||||
\(516\) | −506.310 | − | 401.923i | −0.981221 | − | 0.778920i | ||||
\(517\) | −79.7431 | − | 192.517i | −0.154242 | − | 0.372373i | ||||
\(518\) | −717.125 | − | 639.423i | −1.38441 | − | 1.23441i | ||||
\(519\) | −564.476 | − | 564.476i | −1.08762 | − | 1.08762i | ||||
\(520\) | −58.3653 | + | 36.9466i | −0.112241 | + | 0.0710512i | ||||
\(521\) | 694.307 | + | 694.307i | 1.33264 | + | 1.33264i | 0.902998 | + | 0.429644i | \(0.141361\pi\) |
0.429644 | + | 0.902998i | \(0.358639\pi\) | |||||||
\(522\) | 147.812 | − | 8.46649i | 0.283164 | − | 0.0162193i | ||||
\(523\) | 67.4311 | + | 162.793i | 0.128931 | + | 0.311268i | 0.975142 | − | 0.221581i | \(-0.0711216\pi\) |
−0.846211 | + | 0.532848i | \(0.821122\pi\) | |||||||
\(524\) | 621.360 | − | 345.227i | 1.18580 | − | 0.658830i | ||||
\(525\) | −392.271 | + | 947.026i | −0.747183 | + | 1.80386i | ||||
\(526\) | 377.952 | − | 182.532i | 0.718540 | − | 0.347020i | ||||
\(527\) | −385.250 | −0.731025 | ||||||||
\(528\) | 129.598 | + | 556.340i | 0.245450 | + | 1.05367i | ||||
\(529\) | 194.991i | 0.368602i | ||||||||
\(530\) | 117.720 | − | 56.8531i | 0.222114 | − | 0.107270i | ||||
\(531\) | 174.414 | + | 72.2445i | 0.328463 | + | 0.136054i | ||||
\(532\) | 13.2849 | − | 46.5029i | 0.0249716 | − | 0.0874115i | ||||
\(533\) | −215.502 | + | 89.2638i | −0.404319 | + | 0.167474i | ||||
\(534\) | 433.076 | − | 24.8061i | 0.811003 | − | 0.0464533i | ||||
\(535\) | 102.432 | − | 102.432i | 0.191462 | − | 0.191462i | ||||
\(536\) | −4.04964 | − | 23.3604i | −0.00755530 | − | 0.0435829i | ||||
\(537\) | −6.81281 | + | 6.81281i | −0.0126868 | + | 0.0126868i | ||||
\(538\) | 307.039 | + | 273.771i | 0.570704 | + | 0.508867i | ||||
\(539\) | 1275.91 | − | 528.498i | 2.36717 | − | 0.980515i | ||||
\(540\) | −16.6098 | − | 144.515i | −0.0307590 | − | 0.267621i | ||||
\(541\) | 125.547 | + | 52.0035i | 0.232066 | + | 0.0961247i | 0.495686 | − | 0.868502i | \(-0.334917\pi\) |
−0.263620 | + | 0.964626i | \(0.584917\pi\) | |||||||
\(542\) | 19.6216 | − | 56.2767i | 0.0362022 | − | 0.103832i | ||||
\(543\) | − | 687.772i | − | 1.26661i | ||||||
\(544\) | −52.1498 | + | 487.275i | −0.0958636 | + | 0.895727i | ||||
\(545\) | 162.324 | 0.297842 | ||||||||
\(546\) | −440.344 | − | 153.531i | −0.806491 | − | 0.281193i | ||||
\(547\) | −278.945 | + | 673.432i | −0.509954 | + | 1.23114i | 0.433956 | + | 0.900934i | \(0.357117\pi\) |
−0.943910 | + | 0.330204i | \(0.892883\pi\) | |||||||
\(548\) | −46.2314 | − | 402.240i | −0.0843638 | − | 0.734015i | ||||
\(549\) | 33.3206 | + | 80.4431i | 0.0606933 | + | 0.146527i | ||||
\(550\) | 303.818 | − | 340.737i | 0.552396 | − | 0.619523i | ||||
\(551\) | 16.3057 | + | 16.3057i | 0.0295929 | + | 0.0295929i | ||||
\(552\) | −411.876 | − | 290.173i | −0.746152 | − | 0.525675i | ||||
\(553\) | 31.3132 | + | 31.3132i | 0.0566241 | + | 0.0566241i | ||||
\(554\) | −45.6589 | − | 797.133i | −0.0824167 | − | 1.43887i | ||||
\(555\) | 80.8410 | + | 195.168i | 0.145660 | + | 0.351653i | ||||
\(556\) | −215.889 | + | 755.708i | −0.388290 | + | 1.35919i | ||||
\(557\) | −228.207 | + | 550.942i | −0.409708 | + | 0.989123i | 0.575506 | + | 0.817797i | \(0.304805\pi\) |
−0.985214 | + | 0.171326i | \(0.945195\pi\) | |||||||
\(558\) | −62.9008 | − | 130.243i | −0.112725 | − | 0.233410i | ||||
\(559\) | −235.035 | −0.420455 | ||||||||
\(560\) | 367.218 | + | 60.7068i | 0.655746 | + | 0.108405i | ||||
\(561\) | − | 546.754i | − | 0.974607i | ||||||
\(562\) | −344.732 | − | 713.803i | −0.613402 | − | 1.27011i | ||||
\(563\) | −236.899 | − | 98.1268i | −0.420780 | − | 0.174293i | 0.162239 | − | 0.986752i | \(-0.448129\pi\) |
−0.583019 | + | 0.812459i | \(0.698129\pi\) | |||||||
\(564\) | 242.340 | − | 134.644i | 0.429681 | − | 0.238730i | ||||
\(565\) | −10.0671 | + | 4.16995i | −0.0178180 | + | 0.00738044i | ||||
\(566\) | −21.8681 | − | 381.783i | −0.0386362 | − | 0.674528i | ||||
\(567\) | 941.434 | − | 941.434i | 1.66038 | − | 1.66038i | ||||
\(568\) | −503.511 | − | 113.150i | −0.886463 | − | 0.199208i | ||||
\(569\) | −289.568 | + | 289.568i | −0.508907 | + | 0.508907i | −0.914191 | − | 0.405284i | \(-0.867173\pi\) |
0.405284 | + | 0.914191i | \(0.367173\pi\) | |||||||
\(570\) | −7.07675 | + | 7.93670i | −0.0124153 | + | 0.0139240i | ||||
\(571\) | 801.877 | − | 332.148i | 1.40434 | − | 0.581695i | 0.453464 | − | 0.891275i | \(-0.350188\pi\) |
0.950874 | + | 0.309579i | \(0.100188\pi\) | |||||||
\(572\) | 162.667 | + | 129.129i | 0.284383 | + | 0.225751i | ||||
\(573\) | −591.435 | − | 244.980i | −1.03217 | − | 0.427540i | ||||
\(574\) | 1186.78 | + | 413.786i | 2.06756 | + | 0.720882i | ||||
\(575\) | 402.646i | 0.700254i | ||||||||
\(576\) | −173.249 | + | 61.9283i | −0.300780 | + | 0.107514i | ||||
\(577\) | −107.872 | −0.186953 | −0.0934767 | − | 0.995621i | \(-0.529798\pi\) | ||||
−0.0934767 | + | 0.995621i | \(0.529798\pi\) | |||||||
\(578\) | −35.8670 | + | 102.870i | −0.0620537 | + | 0.177976i | ||||
\(579\) | −274.365 | + | 662.377i | −0.473861 | + | 1.14400i | ||||
\(580\) | −110.339 | + | 138.996i | −0.190239 | + | 0.239648i | ||||
\(581\) | 317.567 | + | 766.676i | 0.546588 | + | 1.31958i | ||||
\(582\) | 547.416 | + | 488.103i | 0.940578 | + | 0.838665i | ||||
\(583\) | −277.936 | − | 277.936i | −0.476734 | − | 0.476734i | ||||
\(584\) | −322.021 | − | 72.3652i | −0.551405 | − | 0.123913i | ||||
\(585\) | 17.5520 | + | 17.5520i | 0.0300035 | + | 0.0300035i | ||||
\(586\) | −59.2679 | + | 3.39479i | −0.101140 | + | 0.00579316i | ||||
\(587\) | −292.393 | − | 705.899i | −0.498114 | − | 1.20255i | −0.950498 | − | 0.310730i | \(-0.899426\pi\) |
0.452384 | − | 0.891823i | \(-0.350574\pi\) | |||||||
\(588\) | 892.352 | + | 1606.11i | 1.51761 | + | 2.73148i | ||||
\(589\) | 8.62087 | − | 20.8126i | 0.0146365 | − | 0.0353355i | ||||
\(590\) | −203.769 | + | 98.4102i | −0.345371 | + | 0.166797i | ||||
\(591\) | −1115.26 | −1.88707 | ||||||||
\(592\) | −462.813 | + | 331.500i | −0.781778 | + | 0.559967i | ||||
\(593\) | 247.178i | 0.416826i | 0.978041 | + | 0.208413i | \(0.0668298\pi\) | ||||
−0.978041 | + | 0.208413i | \(0.933170\pi\) | |||||||
\(594\) | −393.844 | + | 190.207i | −0.663036 | + | 0.320214i | ||||
\(595\) | −329.133 | − | 136.331i | −0.553164 | − | 0.229128i | ||||
\(596\) | −881.248 | − | 251.753i | −1.47860 | − | 0.422405i | ||||
\(597\) | 1142.54 | − | 473.254i | 1.91380 | − | 0.792720i | ||||
\(598\) | −182.882 | + | 10.4753i | −0.305822 | + | 0.0175171i | ||||
\(599\) | −633.115 | + | 633.115i | −1.05695 | + | 1.05695i | −0.0586768 | + | 0.998277i | \(0.518688\pi\) |
−0.998277 | + | 0.0586768i | \(0.981312\pi\) | |||||||
\(600\) | 496.514 | + | 349.801i | 0.827523 | + | 0.583002i | ||||
\(601\) | −147.019 | + | 147.019i | −0.244624 | + | 0.244624i | −0.818760 | − | 0.574136i | \(-0.805338\pi\) |
0.574136 | + | 0.818760i | \(0.305338\pi\) | |||||||
\(602\) | 945.241 | + | 842.823i | 1.57017 | + | 1.40004i | ||||
\(603\) | −7.87114 | + | 3.26033i | −0.0130533 | + | 0.00540685i | ||||
\(604\) | −59.4692 | + | 6.83508i | −0.0984590 | + | 0.0113164i | ||||
\(605\) | −21.7424 | − | 9.00601i | −0.0359379 | − | 0.0148860i | ||||
\(606\) | 21.4781 | − | 61.6013i | 0.0354424 | − | 0.101652i | ||||
\(607\) | − | 52.6594i | − | 0.0867536i | −0.999059 | − | 0.0433768i | \(-0.986188\pi\) | ||
0.999059 | − | 0.0433768i | \(-0.0138116\pi\) | |||||||
\(608\) | −25.1574 | − | 13.7212i | −0.0413773 | − | 0.0225678i | ||||
\(609\) | −1198.09 | −1.96731 | ||||||||
\(610\) | −98.5501 | − | 34.3607i | −0.161558 | − | 0.0563291i | ||||
\(611\) | 38.5729 | − | 93.1233i | 0.0631308 | − | 0.152411i | ||||
\(612\) | 174.948 | − | 20.1076i | 0.285863 | − | 0.0328556i | ||||
\(613\) | −336.988 | − | 813.562i | −0.549737 | − | 1.32718i | −0.917675 | − | 0.397331i | \(-0.869936\pi\) |
0.367939 | − | 0.929850i | \(-0.380064\pi\) | |||||||
\(614\) | −668.241 | + | 749.445i | −1.08834 | + | 1.22059i | ||||
\(615\) | −195.402 | − | 195.402i | −0.317727 | − | 0.317727i | ||||
\(616\) | −191.148 | − | 1102.64i | −0.310305 | − | 1.79000i | ||||
\(617\) | −150.269 | − | 150.269i | −0.243547 | − | 0.243547i | 0.574769 | − | 0.818316i | \(-0.305092\pi\) |
−0.818316 | + | 0.574769i | \(0.805092\pi\) | |||||||
\(618\) | −14.5423 | − | 253.886i | −0.0235312 | − | 0.410819i | ||||
\(619\) | 4.34083 | + | 10.4797i | 0.00701265 | + | 0.0169300i | 0.927347 | − | 0.374202i | \(-0.122083\pi\) |
−0.920334 | + | 0.391132i | \(0.872083\pi\) | |||||||
\(620\) | 166.701 | + | 47.6228i | 0.268872 | + | 0.0768110i | ||||
\(621\) | 147.623 | − | 356.394i | 0.237718 | − | 0.573903i | ||||
\(622\) | 283.547 | + | 587.114i | 0.455864 | + | 0.943914i | ||||
\(623\) | −849.811 | −1.36406 | ||||||||
\(624\) | −145.962 | + | 234.617i | −0.233914 | + | 0.375989i | ||||
\(625\) | − | 411.175i | − | 0.657880i | ||||||
\(626\) | 3.56572 | + | 7.38320i | 0.00569604 | + | 0.0117942i | ||||
\(627\) | 29.5377 | + | 12.2349i | 0.0471095 | + | 0.0195134i | ||||
\(628\) | −56.6987 | − | 102.050i | −0.0902845 | − | 0.162499i | ||||
\(629\) | 503.413 | − | 208.520i | 0.800338 | − | 0.331511i | ||||
\(630\) | −7.64845 | − | 133.530i | −0.0121404 | − | 0.211952i | ||||
\(631\) | 356.485 | − | 356.485i | 0.564952 | − | 0.564952i | −0.365758 | − | 0.930710i | \(-0.619190\pi\) |
0.930710 | + | 0.365758i | \(0.119190\pi\) | |||||||
\(632\) | 22.1700 | − | 14.0341i | 0.0350792 | − | 0.0222059i | ||||
\(633\) | −270.424 | + | 270.424i | −0.427210 | + | 0.427210i | ||||
\(634\) | −734.879 | + | 824.180i | −1.15912 | + | 1.29997i | ||||
\(635\) | 55.0781 | − | 22.8141i | 0.0867371 | − | 0.0359277i | ||||
\(636\) | 325.132 | − | 409.576i | 0.511214 | − | 0.643987i | ||||
\(637\) | 617.175 | + | 255.642i | 0.968878 | + | 0.401322i | ||||
\(638\) | 503.835 | + | 175.669i | 0.789711 | + | 0.275343i | ||||
\(639\) | 185.447i | 0.290214i | ||||||||
\(640\) | 82.8004 | − | 204.401i | 0.129376 | − | 0.319377i | ||||
\(641\) | 741.748 | 1.15717 | 0.578587 | − | 0.815621i | \(-0.303604\pi\) | ||||
0.578587 | + | 0.815621i | \(0.303604\pi\) | |||||||
\(642\) | 190.774 | − | 547.159i | 0.297155 | − | 0.852272i | ||||
\(643\) | 181.837 | − | 438.994i | 0.282795 | − | 0.682729i | −0.717103 | − | 0.696967i | \(-0.754532\pi\) |
0.999899 | + | 0.0142385i | \(0.00453240\pi\) | |||||||
\(644\) | 773.061 | + | 613.677i | 1.20041 | + | 0.952915i | ||||
\(645\) | −106.556 | − | 257.250i | −0.165204 | − | 0.398837i | ||||
\(646\) | 20.4718 | + | 18.2537i | 0.0316901 | + | 0.0282565i | ||||
\(647\) | 520.304 | + | 520.304i | 0.804180 | + | 0.804180i | 0.983746 | − | 0.179566i | \(-0.0574694\pi\) |
−0.179566 | + | 0.983746i | \(0.557469\pi\) | |||||||
\(648\) | −421.938 | − | 666.545i | −0.651139 | − | 1.02862i | ||||
\(649\) | 481.095 | + | 481.095i | 0.741286 | + | 0.741286i | ||||
\(650\) | 220.463 | − | 12.6278i | 0.339173 | − | 0.0194275i | ||||
\(651\) | 447.907 | + | 1081.34i | 0.688029 | + | 1.66105i | ||||
\(652\) | −1020.99 | + | 567.262i | −1.56594 | + | 0.870034i | ||||
\(653\) | 161.753 | − | 390.507i | 0.247708 | − | 0.598019i | −0.750301 | − | 0.661096i | \(-0.770091\pi\) |
0.998009 | + | 0.0630771i | \(0.0200914\pi\) | |||||||
\(654\) | 584.700 | − | 282.381i | 0.894037 | − | 0.431776i | ||||
\(655\) | 306.175 | 0.467443 | ||||||||
\(656\) | 393.386 | − | 632.322i | 0.599674 | − | 0.963905i | ||||
\(657\) | 118.603i | 0.180521i | ||||||||
\(658\) | −489.065 | + | 236.194i | −0.743260 | + | 0.358958i | ||||
\(659\) | 70.1853 | + | 29.0717i | 0.106503 | + | 0.0441149i | 0.435299 | − | 0.900286i | \(-0.356643\pi\) |
−0.328796 | + | 0.944401i | \(0.606643\pi\) | |||||||
\(660\) | −67.5873 | + | 236.585i | −0.102405 | + | 0.358462i | ||||
\(661\) | −81.1193 | + | 33.6007i | −0.122722 | + | 0.0508331i | −0.443199 | − | 0.896423i | \(-0.646157\pi\) |
0.320477 | + | 0.947256i | \(0.396157\pi\) | |||||||
\(662\) | 497.262 | − | 28.4826i | 0.751152 | − | 0.0430251i | ||||
\(663\) | 187.011 | − | 187.011i | 0.282068 | − | 0.282068i | ||||
\(664\) | 484.470 | − | 83.9852i | 0.729623 | − | 0.126484i | ||||
\(665\) | 14.7302 | − | 14.7302i | 0.0221507 | − | 0.0221507i | ||||
\(666\) | 152.689 | + | 136.145i | 0.229262 | + | 0.204421i | ||||
\(667\) | −434.794 | + | 180.097i | −0.651865 | + | 0.270011i | ||||
\(668\) | 6.69582 | + | 58.2575i | 0.0100237 | + | 0.0872119i | ||||
\(669\) | −595.833 | − | 246.802i | −0.890633 | − | 0.368912i | ||||
\(670\) | 3.36210 | − | 9.64286i | 0.00501807 | − | 0.0143923i | ||||
\(671\) | 313.801i | 0.467661i | ||||||||
\(672\) | 1428.34 | − | 420.148i | 2.12551 | − | 0.625220i | ||||
\(673\) | −851.239 | −1.26484 | −0.632421 | − | 0.774625i | \(-0.717939\pi\) | ||||
−0.632421 | + | 0.774625i | \(0.717939\pi\) | |||||||
\(674\) | −385.250 | − | 134.322i | −0.571587 | − | 0.199291i | ||||
\(675\) | −177.959 | + | 429.630i | −0.263642 | + | 0.636489i | ||||
\(676\) | −65.7166 | − | 571.773i | −0.0972139 | − | 0.845818i | ||||
\(677\) | −380.410 | − | 918.390i | −0.561905 | − | 1.35656i | −0.908241 | − | 0.418448i | \(-0.862574\pi\) |
0.346335 | − | 0.938111i | \(-0.387426\pi\) | |||||||
\(678\) | −29.0083 | + | 32.5333i | −0.0427851 | + | 0.0479842i | ||||
\(679\) | −1015.98 | − | 1015.98i | −1.49629 | − | 1.49629i | ||||
\(680\) | −121.571 | + | 172.560i | −0.178781 | + | 0.253765i | ||||
\(681\) | −17.3413 | − | 17.3413i | −0.0254645 | − | 0.0254645i | ||||
\(682\) | −29.8086 | − | 520.411i | −0.0437076 | − | 0.763066i | ||||
\(683\) | 425.467 | + | 1027.17i | 0.622939 | + | 1.50391i | 0.848236 | + | 0.529618i | \(0.177665\pi\) |
−0.225297 | + | 0.974290i | \(0.572335\pi\) | |||||||
\(684\) | −2.82859 | + | 9.90130i | −0.00413536 | + | 0.0144756i | ||||
\(685\) | 66.7395 | − | 161.123i | 0.0974299 | − | 0.235217i | ||||
\(686\) | −989.946 | − | 2049.79i | −1.44307 | − | 2.98803i | ||||
\(687\) | 1122.49 | 1.63390 | ||||||||
\(688\) | 610.033 | − | 436.950i | 0.886675 | − | 0.635102i | ||||
\(689\) | − | 190.129i | − | 0.275950i | ||||||
\(690\) | −94.3776 | − | 195.419i | −0.136779 | − | 0.283215i | ||||
\(691\) | 260.940 | + | 108.085i | 0.377627 | + | 0.156418i | 0.563420 | − | 0.826171i | \(-0.309485\pi\) |
−0.185793 | + | 0.982589i | \(0.559485\pi\) | |||||||
\(692\) | 810.008 | − | 450.040i | 1.17053 | − | 0.650347i | ||||
\(693\) | −371.526 | + | 153.891i | −0.536113 | + | 0.222065i | ||||
\(694\) | −14.9430 | − | 260.881i | −0.0215317 | − | 0.375910i | ||||
\(695\) | −239.377 | + | 239.377i | −0.344428 | + | 0.344428i | ||||
\(696\) | −155.646 | + | 692.617i | −0.223630 | + | 0.995139i | ||||
\(697\) | −504.018 | + | 504.018i | −0.723124 | + | 0.723124i | ||||
\(698\) | −402.121 | + | 450.986i | −0.576104 | + | 0.646111i | ||||
\(699\) | 936.707 | − | 387.997i | 1.34007 | − | 0.555074i | ||||
\(700\) | −931.920 | − | 739.783i | −1.33131 | − | 1.05683i | ||||
\(701\) | −727.192 | − | 301.213i | −1.03736 | − | 0.429690i | −0.201999 | − | 0.979386i | \(-0.564744\pi\) |
−0.835365 | + | 0.549695i | \(0.814744\pi\) | |||||||
\(702\) | −199.768 | − | 69.6515i | −0.284569 | − | 0.0992187i | ||||
\(703\) | 31.8623i | 0.0453234i | ||||||||
\(704\) | −662.266 | − | 32.7433i | −0.940718 | − | 0.0465104i | ||||
\(705\) | 119.413 | 0.169380 | ||||||||
\(706\) | −400.440 | + | 1148.50i | −0.567196 | + | 1.62678i | ||||
\(707\) | −48.9091 | + | 118.077i | −0.0691783 | + | 0.167011i | ||||
\(708\) | −562.790 | + | 708.958i | −0.794901 | + | 1.00135i | ||||
\(709\) | 259.577 | + | 626.675i | 0.366118 | + | 0.883886i | 0.994379 | + | 0.105883i | \(0.0337670\pi\) |
−0.628261 | + | 0.778003i | \(0.716233\pi\) | |||||||
\(710\) | −165.912 | − | 147.935i | −0.233679 | − | 0.208360i | ||||
\(711\) | −6.66713 | − | 6.66713i | −0.00937711 | − | 0.00937711i | ||||
\(712\) | −110.400 | + | 491.275i | −0.155057 | + | 0.689992i | ||||
\(713\) | 325.095 | + | 325.095i | 0.455953 | + | 0.455953i | ||||
\(714\) | −1422.72 | + | 81.4916i | −1.99260 | + | 0.114134i | ||||
\(715\) | 34.2344 | + | 82.6491i | 0.0478803 | + | 0.115593i | ||||
\(716\) | −5.43165 | − | 9.77621i | −0.00758611 | − | 0.0136539i | ||||
\(717\) | 366.383 | − | 884.526i | 0.510994 | − | 1.23365i | ||||
\(718\) | −499.276 | + | 241.126i | −0.695370 | + | 0.335830i | ||||
\(719\) | 1034.71 | 1.43910 | 0.719549 | − | 0.694442i | \(-0.244349\pi\) | ||||
0.719549 | + | 0.694442i | \(0.244349\pi\) | |||||||
\(720\) | −78.1872 | − | 12.9256i | −0.108593 | − | 0.0179522i | ||||
\(721\) | 498.193i | 0.690975i | ||||||||
\(722\) | 648.705 | − | 313.293i | 0.898484 | − | 0.433923i | ||||
\(723\) | −201.429 | − | 83.4348i | −0.278602 | − | 0.115401i | ||||
\(724\) | 767.638 | + | 219.297i | 1.06027 | + | 0.302897i | ||||
\(725\) | 524.141 | − | 217.106i | 0.722953 | − | 0.299457i | ||||
\(726\) | −93.9844 | + | 5.38332i | −0.129455 | + | 0.00741504i | ||||
\(727\) | 227.066 | − | 227.066i | 0.312332 | − | 0.312332i | −0.533480 | − | 0.845813i | \(-0.679116\pi\) |
0.845813 | + | 0.533480i | \(0.179116\pi\) | |||||||
\(728\) | 311.765 | − | 442.524i | 0.428248 | − | 0.607863i | ||||
\(729\) | 262.439 | − | 262.439i | 0.359999 | − | 0.359999i | ||||
\(730\) | −106.109 | − | 94.6122i | −0.145355 | − | 0.129606i | ||||
\(731\) | −663.548 | + | 274.850i | −0.907726 | + | 0.375992i | ||||
\(732\) | −414.757 | + | 47.6700i | −0.566608 | + | 0.0651230i | ||||
\(733\) | 973.386 | + | 403.190i | 1.32795 | + | 0.550054i | 0.930070 | − | 0.367384i | \(-0.119746\pi\) |
0.397879 | + | 0.917438i | \(0.369746\pi\) | |||||||
\(734\) | 21.7535 | − | 62.3913i | 0.0296369 | − | 0.0850018i | ||||
\(735\) | 791.410i | 1.07675i | ||||||||
\(736\) | 455.196 | − | 367.182i | 0.618472 | − | 0.498889i | ||||
\(737\) | −30.7045 | −0.0416615 | ||||||||
\(738\) | −252.687 | − | 88.1025i | −0.342394 | − | 0.119380i | ||||
\(739\) | 387.131 | − | 934.616i | 0.523857 | − | 1.26470i | −0.411632 | − | 0.911350i | \(-0.635041\pi\) |
0.935490 | − | 0.353354i | \(-0.114959\pi\) | |||||||
\(740\) | −243.607 | + | 27.9989i | −0.329199 | + | 0.0378364i | ||||
\(741\) | 5.91821 | + | 14.2878i | 0.00798679 | + | 0.0192818i | ||||
\(742\) | −681.795 | + | 764.645i | −0.918861 | + | 1.03052i | ||||
\(743\) | 528.819 | + | 528.819i | 0.711735 | + | 0.711735i | 0.966898 | − | 0.255163i | \(-0.0821293\pi\) |
−0.255163 | + | 0.966898i | \(0.582129\pi\) | |||||||
\(744\) | 683.311 | − | 118.455i | 0.918429 | − | 0.159214i | ||||
\(745\) | −279.143 | − | 279.143i | −0.374689 | − | 0.374689i | ||||
\(746\) | 14.3084 | + | 249.803i | 0.0191802 | + | 0.334856i | ||||
\(747\) | −67.6158 | − | 163.239i | −0.0905164 | − | 0.218526i | ||||
\(748\) | 610.245 | + | 174.334i | 0.815835 | + | 0.233066i | ||||
\(749\) | −434.423 | + | 1048.79i | −0.580004 | + | 1.40025i | ||||
\(750\) | 242.873 | + | 502.893i | 0.323830 | + | 0.670524i | ||||
\(751\) | −176.760 | −0.235366 | −0.117683 | − | 0.993051i | \(-0.537547\pi\) | ||||
−0.117683 | + | 0.993051i | \(0.537547\pi\) | |||||||
\(752\) | 73.0084 | + | 313.412i | 0.0970856 | + | 0.416772i | ||||
\(753\) | 604.051i | 0.802192i | ||||||||
\(754\) | 112.246 | + | 232.416i | 0.148867 | + | 0.308245i | ||||
\(755\) | −23.8213 | − | 9.86711i | −0.0315514 | − | 0.0130690i | ||||
\(756\) | 553.641 | + | 996.476i | 0.732330 | + | 1.31809i | ||||
\(757\) | −59.8575 | + | 24.7938i | −0.0790720 | + | 0.0327527i | −0.421869 | − | 0.906657i | \(-0.638626\pi\) |
0.342797 | + | 0.939410i | \(0.388626\pi\) | |||||||
\(758\) | 20.4103 | + | 356.333i | 0.0269265 | + | 0.470096i | ||||
\(759\) | −461.381 | + | 461.381i | −0.607879 | + | 0.607879i | ||||
\(760\) | −6.60189 | − | 10.4292i | −0.00868670 | − | 0.0137226i | ||||
\(761\) | 713.497 | − | 713.497i | 0.937579 | − | 0.937579i | −0.0605844 | − | 0.998163i | \(-0.519296\pi\) |
0.998163 | + | 0.0605844i | \(0.0192964\pi\) | |||||||
\(762\) | 158.706 | − | 177.992i | 0.208276 | − | 0.233585i | ||||
\(763\) | −1175.22 | + | 486.793i | −1.54026 | + | 0.637999i | ||||
\(764\) | 462.008 | − | 582.001i | 0.604722 | − | 0.761781i | ||||
\(765\) | 70.0782 | + | 29.0273i | 0.0916055 | + | 0.0379442i | ||||
\(766\) | 580.354 | + | 202.348i | 0.757642 | + | 0.264161i | ||||
\(767\) | 329.106i | 0.429082i | ||||||||
\(768\) | −57.3284 | − | 880.306i | −0.0746464 | − | 1.14623i | ||||
\(769\) | −147.511 | −0.191821 | −0.0959107 | − | 0.995390i | \(-0.530576\pi\) | ||||
−0.0959107 | + | 0.995390i | \(0.530576\pi\) | |||||||
\(770\) | 158.695 | − | 455.154i | 0.206098 | − | 0.591109i | ||||
\(771\) | 109.413 | − | 264.146i | 0.141910 | − | 0.342601i | ||||
\(772\) | −651.811 | − | 517.426i | −0.844315 | − | 0.670240i | ||||
\(773\) | 104.027 | + | 251.144i | 0.134576 | + | 0.324896i | 0.976774 | − | 0.214273i | \(-0.0687384\pi\) |
−0.842198 | + | 0.539169i | \(0.818738\pi\) | |||||||
\(774\) | −201.259 | − | 179.452i | −0.260024 | − | 0.231850i | ||||
\(775\) | −391.899 | − | 391.899i | −0.505677 | − | 0.505677i | ||||
\(776\) | −719.327 | + | 455.351i | −0.926968 | + | 0.586792i | ||||
\(777\) | −1170.57 | − | 1170.57i | −1.50653 | − | 1.50653i | ||||
\(778\) | 1068.97 | − | 61.2295i | 1.37400 | − | 0.0787012i | ||||
\(779\) | −15.9503 | − | 38.5075i | −0.0204754 | − | 0.0494319i | ||||
\(780\) | −104.039 | + | 57.8037i | −0.133383 | + | 0.0741074i | ||||
\(781\) | −255.764 | + | 617.468i | −0.327482 | + | 0.790612i | ||||
\(782\) | −504.061 | + | 243.436i | −0.644579 | + | 0.311300i | ||||
\(783\) | −543.531 | −0.694164 | ||||||||
\(784\) | −2077.14 | + | 483.863i | −2.64942 | + | 0.617173i | ||||
\(785\) | − | 50.2850i | − | 0.0640573i | ||||||
\(786\) | 1102.86 | − | 532.627i | 1.40313 | − | 0.677642i | ||||
\(787\) | 999.730 | + | 414.102i | 1.27031 | + | 0.526178i | 0.913057 | − | 0.407832i | \(-0.133715\pi\) |
0.357248 | + | 0.934010i | \(0.383715\pi\) | |||||||
\(788\) | 355.603 | − | 1244.77i | 0.451273 | − | 1.57965i | ||||
\(789\) | 668.127 | − | 276.747i | 0.846802 | − | 0.350757i | ||||
\(790\) | 11.2834 | − | 0.646298i | 0.0142827 | − | 0.000818099i | ||||
\(791\) | 60.3806 | − | 60.3806i | 0.0763345 | − | 0.0763345i | ||||
\(792\) | 40.6987 | + | 234.771i | 0.0513873 | + | 0.296428i | ||||
\(793\) | −107.332 | + | 107.332i | −0.135349 | + | 0.135349i | ||||
\(794\) | −876.885 | − | 781.873i | −1.10439 | − | 0.984727i | ||||
\(795\) | 208.100 | − | 86.1980i | 0.261762 | − | 0.108425i | ||||
\(796\) | 163.909 | + | 1426.11i | 0.205916 | + | 1.79159i | ||||
\(797\) | −1138.14 | − | 471.431i | −1.42802 | − | 0.591507i | −0.471162 | − | 0.882047i | \(-0.656165\pi\) |
−0.956863 | + | 0.290540i | \(0.906165\pi\) | |||||||
\(798\) | 27.4341 | − | 78.6839i | 0.0343786 | − | 0.0986014i | ||||
\(799\) | − | 308.012i | − | 0.385497i | ||||||
\(800\) | −548.735 | + | 442.635i | −0.685919 | + | 0.553294i | ||||
\(801\) | 180.940 | 0.225893 | ||||||||
\(802\) | 237.555 | + | 82.8265i | 0.296203 | + | 0.103275i | ||||
\(803\) | −163.574 | + | 394.902i | −0.203703 | + | 0.491784i | ||||
\(804\) | −4.66438 | − | 40.5829i | −0.00580147 | − | 0.0504762i | ||||
\(805\) | 162.696 | + | 392.783i | 0.202107 | + | 0.487929i | ||||
\(806\) | 167.805 | − | 188.196i | 0.208195 | − | 0.233494i | ||||
\(807\) | 501.184 | + | 501.184i | 0.621046 | + | 0.621046i | ||||
\(808\) | 61.9063 | + | 43.6138i | 0.0766167 | + | 0.0539775i | ||||
\(809\) | −169.569 | − | 169.569i | −0.209603 | − | 0.209603i | 0.594496 | − | 0.804099i | \(-0.297352\pi\) |
−0.804099 | + | 0.594496i | \(0.797352\pi\) | |||||||
\(810\) | −19.4310 | − | 339.236i | −0.0239889 | − | 0.418810i | ||||
\(811\) | −437.562 | − | 1056.37i | −0.539534 | − | 1.30255i | −0.925048 | − | 0.379849i | \(-0.875976\pi\) |
0.385514 | − | 0.922702i | \(-0.374024\pi\) | |||||||
\(812\) | 382.015 | − | 1337.22i | 0.470461 | − | 1.64682i | ||||
\(813\) | 39.2973 | − | 94.8722i | 0.0483362 | − | 0.116694i | ||||
\(814\) | 320.629 | + | 663.896i | 0.393893 | + | 0.815597i | ||||
\(815\) | −503.094 | −0.617293 | ||||||||
\(816\) | −137.717 | + | 833.058i | −0.168771 | + | 1.02090i | ||||
\(817\) | − | 41.9977i | − | 0.0514048i | ||||||
\(818\) | 606.357 | + | 1255.53i | 0.741268 | + | 1.53487i | ||||
\(819\) | −179.713 | − | 74.4396i | −0.219430 | − | 0.0908908i | ||||
\(820\) | 280.397 | − | 155.788i | 0.341947 | − | 0.189986i | ||||
\(821\) | −930.724 | + | 385.518i | −1.13365 | + | 0.469572i | −0.869019 | − | 0.494779i | \(-0.835249\pi\) |
−0.264627 | + | 0.964351i | \(0.585249\pi\) | |||||||
\(822\) | −39.8933 | − | 696.476i | −0.0485320 | − | 0.847295i | ||||
\(823\) | −320.389 | + | 320.389i | −0.389294 | + | 0.389294i | −0.874435 | − | 0.485142i | \(-0.838768\pi\) |
0.485142 | + | 0.874435i | \(0.338768\pi\) | |||||||
\(824\) | 288.005 | + | 64.7211i | 0.349520 | + | 0.0785451i | ||||
\(825\) | 556.191 | − | 556.191i | 0.674171 | − | 0.674171i | ||||
\(826\) | 1180.16 | − | 1323.57i | 1.42876 | − | 1.60238i | ||||
\(827\) | 14.6406 | − | 6.06433i | 0.0177032 | − | 0.00733293i | −0.373814 | − | 0.927504i | \(-0.621950\pi\) |
0.391517 | + | 0.920171i | \(0.371950\pi\) | |||||||
\(828\) | −164.599 | − | 130.663i | −0.198791 | − | 0.157805i | ||||
\(829\) | −753.878 | − | 312.267i | −0.909383 | − | 0.376679i | −0.121562 | − | 0.992584i | \(-0.538790\pi\) |
−0.787820 | + | 0.615905i | \(0.788790\pi\) | |||||||
\(830\) | 199.983 | + | 69.7264i | 0.240943 | + | 0.0840078i | ||||
\(831\) | − | 1375.70i | − | 1.65548i | ||||||
\(832\) | −215.321 | − | 237.720i | −0.258799 | − | 0.285721i | ||||
\(833\) | 2041.35 | 2.45061 | ||||||||
\(834\) | −445.826 | + | 1278.67i | −0.534563 | + | 1.53318i | ||||
\(835\) | −9.66607 | + | 23.3360i | −0.0115761 | + | 0.0279473i | ||||
\(836\) | −23.0738 | + | 29.0665i | −0.0276002 | + | 0.0347686i | ||||
\(837\) | 203.199 | + | 490.565i | 0.242770 | + | 0.586099i | ||||
\(838\) | 793.642 | + | 707.649i | 0.947066 | + | 0.844450i | ||||
\(839\) | −233.705 | − | 233.705i | −0.278552 | − | 0.278552i | 0.553979 | − | 0.832531i | \(-0.313109\pi\) |
−0.832531 | + | 0.553979i | \(0.813109\pi\) | |||||||
\(840\) | 625.695 | + | 140.608i | 0.744875 | + | 0.167390i | ||||
\(841\) | −125.796 | − | 125.796i | −0.149579 | − | 0.149579i | ||||
\(842\) | 5.19483 | − | 0.297554i | 0.00616963 | − | 0.000353389i | ||||
\(843\) | −522.667 | − | 1261.83i | −0.620008 | − | 1.49683i | ||||
\(844\) | −215.601 | − | 388.052i | −0.255451 | − | 0.459777i | ||||
\(845\) | 94.8684 | − | 229.033i | 0.112270 | − | 0.271044i | ||||
\(846\) | 104.131 | − | 50.2900i | 0.123086 | − | 0.0594444i | ||||
\(847\) | 184.423 | 0.217736 | ||||||||
\(848\) | 353.467 | + | 493.481i | 0.416825 | + | 0.581935i | ||||
\(849\) | − | 658.886i | − | 0.776073i | ||||||
\(850\) | 607.642 | − | 293.461i | 0.714872 | − | 0.345248i | ||||
\(851\) | −600.767 | − | 248.846i | −0.705954 | − | 0.292416i | ||||
\(852\) | −854.975 | − | 244.248i | −1.00349 | − | 0.286676i | ||||
\(853\) | −979.574 | + | 405.753i | −1.14839 | + | 0.475677i | −0.873992 | − | 0.485940i | \(-0.838477\pi\) |
−0.274395 | + | 0.961617i | \(0.588477\pi\) | |||||||
\(854\) | 816.545 | − | 46.7707i | 0.956141 | − | 0.0547667i | ||||
\(855\) | −3.13633 | + | 3.13633i | −0.00366822 | + | 0.00366822i | ||||
\(856\) | 549.867 | + | 387.389i | 0.642368 | + | 0.452558i | ||||
\(857\) | 716.322 | − | 716.322i | 0.835848 | − | 0.835848i | −0.152461 | − | 0.988309i | \(-0.548720\pi\) |
0.988309 | + | 0.152461i | \(0.0487198\pi\) | |||||||
\(858\) | 267.092 | + | 238.152i | 0.311296 | + | 0.277566i | ||||
\(859\) | 398.325 | − | 164.992i | 0.463708 | − | 0.192074i | −0.138583 | − | 0.990351i | \(-0.544255\pi\) |
0.602291 | + | 0.798277i | \(0.294255\pi\) | |||||||
\(860\) | 321.098 | − | 36.9054i | 0.373370 | − | 0.0429132i | ||||
\(861\) | 2000.70 | + | 828.716i | 2.32369 | + | 0.962504i | ||||
\(862\) | −266.174 | + | 763.415i | −0.308787 | + | 0.885633i | ||||
\(863\) | − | 1279.79i | − | 1.48295i | −0.670980 | − | 0.741475i | \(-0.734126\pi\) | ||
0.670980 | − | 0.741475i | \(-0.265874\pi\) | |||||||
\(864\) | 647.986 | − | 190.605i | 0.749984 | − | 0.220608i | ||||
\(865\) | 399.132 | 0.461424 | ||||||||
\(866\) | −843.086 | − | 293.952i | −0.973541 | − | 0.339437i | ||||
\(867\) | −71.8331 | + | 173.421i | −0.0828525 | + | 0.200024i | ||||
\(868\) | −1349.73 | + | 155.130i | −1.55498 | + | 0.178722i | ||||
\(869\) | −13.0039 | − | 31.3942i | −0.0149642 | − | 0.0361268i | ||||
\(870\) | −203.496 | + | 228.225i | −0.233904 | + | 0.262327i | ||||
\(871\) | −10.5021 | − | 10.5021i | −0.0120576 | − | 0.0120576i | ||||
\(872\) | 128.739 | + | 742.634i | 0.147637 | + | 0.851645i | ||||
\(873\) | 216.321 | + | 216.321i | 0.247790 | + | 0.247790i | ||||
\(874\) | −1.87180 | − | 32.6786i | −0.00214164 | − | 0.0373898i | ||||
\(875\) | −418.684 | − | 1010.79i | −0.478496 | − | 1.15519i | ||||
\(876\) | −546.800 | − | 156.209i | −0.624201 | − | 0.178321i | ||||
\(877\) | −351.648 | + | 848.954i | −0.400967 | + | 0.968021i | 0.586464 | + | 0.809975i | \(0.300519\pi\) |
−0.987432 | + | 0.158046i | \(0.949481\pi\) | |||||||
\(878\) | −249.795 | − | 517.227i | −0.284505 | − | 0.589097i | ||||
\(879\) | −102.285 | −0.116365 | ||||||||
\(880\) | −242.508 | − | 150.871i | −0.275577 | − | 0.171445i | ||||
\(881\) | 1327.06i | 1.50632i | 0.657839 | + | 0.753158i | \(0.271471\pi\) | ||||
−0.657839 | + | 0.753158i | \(0.728529\pi\) | |||||||
\(882\) | 333.297 | + | 690.127i | 0.377888 | + | 0.782457i | ||||
\(883\) | 412.717 | + | 170.953i | 0.467403 | + | 0.193605i | 0.603939 | − | 0.797030i | \(-0.293597\pi\) |
−0.136536 | + | 0.990635i | \(0.543597\pi\) | |||||||
\(884\) | 149.098 | + | 268.356i | 0.168663 | + | 0.303570i | ||||
\(885\) | −360.213 | + | 149.205i | −0.407020 | + | 0.168593i | ||||
\(886\) | −54.4942 | − | 951.384i | −0.0615058 | − | 1.07380i | ||||
\(887\) | −411.723 | + | 411.723i | −0.464174 | + | 0.464174i | −0.900021 | − | 0.435847i | \(-0.856449\pi\) |
0.435847 | + | 0.900021i | \(0.356449\pi\) | |||||||
\(888\) | −828.779 | + | 524.636i | −0.933309 | + | 0.590806i | ||||
\(889\) | −330.347 | + | 330.347i | −0.371594 | + | 0.371594i | ||||
\(890\) | −144.340 | + | 161.880i | −0.162180 | + | 0.181888i | ||||
\(891\) | −943.871 | + | 390.964i | −1.05934 | + | 0.438793i | ||||
\(892\) | 465.444 | − | 586.329i | 0.521798 | − | 0.657320i | ||||
\(893\) | 16.6400 | + | 6.89250i | 0.0186338 | + | 0.00771836i | ||||
\(894\) | −1491.09 | − | 519.887i | −1.66789 | − | 0.581529i | ||||
\(895\) | − | 4.81723i | − | 0.00538238i | ||||||
\(896\) | 13.5062 | + | 1728.17i | 0.0150739 | + | 1.92876i | ||||
\(897\) | −315.620 | −0.351861 | ||||||||
\(898\) | 418.943 | − | 1201.57i | 0.466529 | − | 1.33805i | ||||
\(899\) | 247.898 | − | 598.480i | 0.275749 | − | 0.665717i | ||||
\(900\) | 198.422 | + | 157.513i | 0.220469 | + | 0.175015i | ||||
\(901\) | −222.338 | − | 536.772i | −0.246768 | − | 0.595751i | ||||
\(902\) | −719.845 | − | 641.849i | −0.798055 | − | 0.711584i | ||||
\(903\) | 1542.93 | + | 1542.93i | 1.70867 | + | 1.70867i | ||||
\(904\) | −27.0618 | − | 42.7501i | −0.0299356 | − | 0.0472899i | ||||
\(905\) | 243.156 | + | 243.156i | 0.268681 | + | 0.268681i | ||||
\(906\) | −102.971 | + | 5.89804i | −0.113654 | + | 0.00650997i | ||||
\(907\) | 307.189 | + | 741.619i | 0.338687 | + | 0.817662i | 0.997842 | + | 0.0656553i | \(0.0209138\pi\) |
−0.659156 | + | 0.752006i | \(0.729086\pi\) | |||||||
\(908\) | 24.8843 | − | 13.8257i | 0.0274057 | − | 0.0152266i | ||||
\(909\) | 10.4136 | − | 25.1407i | 0.0114561 | − | 0.0276575i | ||||
\(910\) | 209.960 | − | 101.400i | 0.230725 | − | 0.111429i | ||||
\(911\) | 708.126 | 0.777307 | 0.388653 | − | 0.921384i | \(-0.372940\pi\) | ||||
0.388653 | + | 0.921384i | \(0.372940\pi\) | |||||||
\(912\) | −41.9231 | − | 26.0816i | −0.0459683 | − | 0.0285982i | ||||
\(913\) | − | 636.779i | − | 0.697458i | ||||||
\(914\) | 915.082 | − | 441.939i | 1.00118 | − | 0.483522i | ||||
\(915\) | −166.137 | − | 68.8164i | −0.181571 | − | 0.0752091i | ||||
\(916\) | −357.908 | + | 1252.84i | −0.390729 | + | 1.36772i | ||||
\(917\) | −2216.70 | + | 918.187i | −2.41734 | + | 1.00129i | ||||
\(918\) | −645.434 | + | 36.9697i | −0.703087 | + | 0.0402720i | ||||
\(919\) | 628.260 | − | 628.260i | 0.683635 | − | 0.683635i | −0.277183 | − | 0.960817i | \(-0.589401\pi\) |
0.960817 | + | 0.277183i | \(0.0894007\pi\) | |||||||
\(920\) | 248.204 | − | 43.0273i | 0.269787 | − | 0.0467688i | ||||
\(921\) | −1223.33 | + | 1223.33i | −1.32826 | + | 1.32826i | ||||
\(922\) | 266.095 | + | 237.264i | 0.288607 | + | 0.257336i | ||||
\(923\) | −298.679 | + | 123.717i | −0.323596 | + | 0.134038i | ||||
\(924\) | −220.164 | − | 1915.56i | −0.238273 | − | 2.07311i | ||||
\(925\) | 724.221 | + | 299.982i | 0.782941 | + | 0.324305i | ||||
\(926\) | −435.996 | + | 1250.48i | −0.470838 | + | 1.35041i | ||||
\(927\) | − | 106.074i | − | 0.114427i | ||||||
\(928\) | −723.417 | − | 394.563i | −0.779544 | − | 0.425175i | ||||
\(929\) | −972.033 | −1.04632 | −0.523161 | − | 0.852234i | \(-0.675247\pi\) | ||||
−0.523161 | + | 0.852234i | \(0.675247\pi\) | |||||||
\(930\) | 282.062 | + | 98.3443i | 0.303292 | + | 0.105747i | ||||
\(931\) | −45.6801 | + | 110.281i | −0.0490656 | + | 0.118455i | ||||
\(932\) | 134.381 | + | 1169.19i | 0.144186 | + | 1.25450i | ||||
\(933\) | 429.901 | + | 1037.87i | 0.460773 | + | 1.11241i | ||||
\(934\) | 1231.45 | − | 1381.09i | 1.31847 | − | 1.47869i | ||||
\(935\) | 193.301 | + | 193.301i | 0.206739 | + | 0.206739i | ||||
\(936\) | −66.3802 | + | 94.2213i | −0.0709190 | + | 0.100664i | ||||
\(937\) | 396.897 | + | 396.897i | 0.423583 | + | 0.423583i | 0.886435 | − | 0.462853i | \(-0.153174\pi\) |
−0.462853 | + | 0.886435i | \(0.653174\pi\) | |||||||
\(938\) | 4.57639 | + | 79.8967i | 0.00487888 | + | 0.0851777i | ||||
\(939\) | 5.40618 | + | 13.0517i | 0.00575738 | + | 0.0138996i | ||||
\(940\) | −38.0751 | + | 133.280i | −0.0405054 | + | 0.141787i | ||||
\(941\) | 486.386 | − | 1174.24i | 0.516882 | − | 1.24786i | −0.422928 | − | 0.906163i | \(-0.638998\pi\) |
0.939809 | − | 0.341699i | \(-0.111002\pi\) | |||||||
\(942\) | −87.4764 | − | 181.129i | −0.0928625 | − | 0.192281i | ||||
\(943\) | 850.634 | 0.902051 | ||||||||
\(944\) | −611.837 | − | 854.195i | −0.648132 | − | 0.904867i | ||||
\(945\) | 491.014i | 0.519591i | ||||||||
\(946\) | −422.621 | − | 875.080i | −0.446745 | − | 0.925032i | ||||
\(947\) | −319.348 | − | 132.278i | −0.337221 | − | 0.139681i | 0.207646 | − | 0.978204i | \(-0.433420\pi\) |
−0.544867 | + | 0.838523i | \(0.683420\pi\) | |||||||
\(948\) | 39.5190 | − | 21.9567i | 0.0416867 | − | 0.0231611i | ||||
\(949\) | −191.020 | + | 79.1232i | −0.201286 | + | 0.0833753i | ||||
\(950\) | 2.25644 | + | 39.3939i | 0.00237520 | + | 0.0414673i | ||||
\(951\) | −1345.32 | + | 1345.32i | −1.41464 | + | 1.41464i | ||||
\(952\) | 362.682 | − | 1613.91i | 0.380968 | − | 1.69528i | ||||
\(953\) | 234.445 | − | 234.445i | 0.246007 | − | 0.246007i | −0.573322 | − | 0.819330i | \(-0.694346\pi\) |
0.819330 | + | 0.573322i | \(0.194346\pi\) | |||||||
\(954\) | 145.166 | − | 162.807i | 0.152166 | − | 0.170657i | ||||
\(955\) | 295.708 | − | 122.486i | 0.309642 | − | 0.128258i | ||||
\(956\) | 870.417 | + | 690.961i | 0.910478 | + | 0.722762i | ||||
\(957\) | 849.374 | + | 351.822i | 0.887538 | + | 0.367630i | ||||
\(958\) | −1750.27 | − | 610.253i | −1.82700 | − | 0.637007i | ||||
\(959\) | 1366.67i | 1.42510i | ||||||||
\(960\) | 162.570 | − | 343.447i | 0.169344 | − | 0.357757i | ||||
\(961\) | 328.164 | 0.341482 | ||||||||
\(962\) | −117.410 | + | 336.745i | −0.122048 | + | 0.350047i | ||||
\(963\) | 92.4964 | − | 223.306i | 0.0960502 | − | 0.231886i | ||||
\(964\) | 157.350 | − | 198.216i | 0.163226 | − | 0.205619i | ||||
\(965\) | −137.178 | − | 331.178i | −0.142154 | − | 0.343189i | ||||
\(966\) | 1269.33 | + | 1131.80i | 1.31401 | + | 1.17163i | ||||
\(967\) | 431.918 | + | 431.918i | 0.446658 | + | 0.446658i | 0.894242 | − | 0.447584i | \(-0.147715\pi\) |
−0.447584 | + | 0.894242i | \(0.647715\pi\) | |||||||
\(968\) | 23.9587 | − | 106.615i | 0.0247507 | − | 0.110139i | ||||
\(969\) | 33.4165 | + | 33.4165i | 0.0344855 | + | 0.0344855i | ||||
\(970\) | −366.099 | + | 20.9697i | −0.377422 | + | 0.0216183i | ||||
\(971\) | −391.385 | − | 944.887i | −0.403074 | − | 0.973107i | −0.986915 | − | 0.161239i | \(-0.948451\pi\) |
0.583841 | − | 0.811868i | \(-0.301549\pi\) | |||||||
\(972\) | −291.085 | − | 523.912i | −0.299470 | − | 0.539004i | ||||
\(973\) | 1015.22 | − | 2450.95i | 1.04339 | − | 2.51897i | ||||
\(974\) | −1492.52 | + | 720.812i | −1.53236 | + | 0.740054i | ||||
\(975\) | 380.477 | 0.390233 | ||||||||
\(976\) | 79.0406 | − | 478.119i | 0.0809842 | − | 0.489877i | ||||
\(977\) | − | 1157.98i | − | 1.18524i | −0.805481 | − | 0.592621i | \(-0.798093\pi\) | ||
0.805481 | − | 0.592621i | \(-0.201907\pi\) | |||||||
\(978\) | −1812.17 | + | 875.189i | −1.85293 | + | 0.894876i | ||||
\(979\) | 602.463 | + | 249.548i | 0.615386 | + | 0.254901i | ||||
\(980\) | −883.311 | − | 252.343i | −0.901337 | − | 0.257493i | ||||
\(981\) | 250.226 | − | 103.647i | 0.255072 | − | 0.105654i | ||||
\(982\) | 89.5061 | − | 5.12681i | 0.0911467 | − | 0.00522078i | ||||
\(983\) | 396.529 | − | 396.529i | 0.403386 | − | 0.403386i | −0.476038 | − | 0.879425i | \(-0.657928\pi\) |
0.879425 | + | 0.476038i | \(0.157928\pi\) | |||||||
\(984\) | 738.993 | − | 1048.94i | 0.751009 | − | 1.06600i | ||||
\(985\) | 394.291 | − | 394.291i | 0.400296 | − | 0.400296i | ||||
\(986\) | 588.680 | + | 524.896i | 0.597039 | + | 0.532349i | ||||
\(987\) | −864.547 | + | 358.107i | −0.875934 | + | 0.362824i | ||||
\(988\) | −17.8340 | + | 2.04975i | −0.0180506 | + | 0.00207464i | ||||
\(989\) | 791.870 | + | 328.003i | 0.800678 | + | 0.331652i | ||||
\(990\) | −33.7890 | + | 96.9104i | −0.0341303 | + | 0.0978893i | ||||
\(991\) | − | 134.269i | − | 0.135489i | −0.997703 | − | 0.0677444i | \(-0.978420\pi\) | ||
0.997703 | − | 0.0677444i | \(-0.0215802\pi\) | |||||||
\(992\) | −85.6645 | + | 800.428i | −0.0863553 | + | 0.806883i | ||||
\(993\) | 858.182 | 0.864232 | ||||||||
\(994\) | 1644.84 | + | 573.495i | 1.65477 | + | 0.576957i | ||||
\(995\) | −236.619 | + | 571.249i | −0.237808 | + | 0.574120i | ||||
\(996\) | 841.645 | − | 96.7343i | 0.845025 | − | 0.0971228i | ||||
\(997\) | 470.645 | + | 1136.24i | 0.472061 | + | 1.13966i | 0.963251 | + | 0.268603i | \(0.0865620\pi\) |
−0.491190 | + | 0.871052i | \(0.663438\pi\) | |||||||
\(998\) | 206.439 | − | 231.525i | 0.206852 | − | 0.231989i | ||||
\(999\) | −531.046 | − | 531.046i | −0.531577 | − | 0.531577i |
(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.3.4 | ✓ | 28 | |
3.2 | odd | 2 | 288.3.u.a.163.4 | 28 | |||
4.3 | odd | 2 | 128.3.h.a.47.6 | 28 | |||
8.3 | odd | 2 | 256.3.h.a.95.2 | 28 | |||
8.5 | even | 2 | 256.3.h.b.95.6 | 28 | |||
32.5 | even | 8 | 256.3.h.a.159.2 | 28 | |||
32.11 | odd | 8 | inner | 32.3.h.a.11.4 | yes | 28 | |
32.21 | even | 8 | 128.3.h.a.79.6 | 28 | |||
32.27 | odd | 8 | 256.3.h.b.159.6 | 28 | |||
96.11 | even | 8 | 288.3.u.a.235.4 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.3.h.a.3.4 | ✓ | 28 | 1.1 | even | 1 | trivial | |
32.3.h.a.11.4 | yes | 28 | 32.11 | odd | 8 | inner | |
128.3.h.a.47.6 | 28 | 4.3 | odd | 2 | |||
128.3.h.a.79.6 | 28 | 32.21 | even | 8 | |||
256.3.h.a.95.2 | 28 | 8.3 | odd | 2 | |||
256.3.h.a.159.2 | 28 | 32.5 | even | 8 | |||
256.3.h.b.95.6 | 28 | 8.5 | even | 2 | |||
256.3.h.b.159.6 | 28 | 32.27 | odd | 8 | |||
288.3.u.a.163.4 | 28 | 3.2 | odd | 2 | |||
288.3.u.a.235.4 | 28 | 96.11 | even | 8 |