Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,3,Mod(3,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.l (of order \(32\), degree \(16\), 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: | \(3.48774738381\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(31\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 128.3 |
Dual form | 128.3.l.a.43.4 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.84253 | − | 0.777866i | −0.921266 | − | 0.388933i | ||||
\(3\) | 1.79949 | − | 1.47680i | 0.599829 | − | 0.492267i | −0.284785 | − | 0.958591i | \(-0.591922\pi\) |
0.884614 | + | 0.466325i | \(0.154422\pi\) | |||||||
\(4\) | 2.78985 | + | 2.86649i | 0.697462 | + | 0.716622i | ||||
\(5\) | 5.80468 | + | 1.76083i | 1.16094 | + | 0.352166i | 0.811249 | − | 0.584700i | \(-0.198788\pi\) |
0.349687 | + | 0.936867i | \(0.386288\pi\) | |||||||
\(6\) | −4.46437 | + | 1.32129i | −0.744061 | + | 0.220215i | ||||
\(7\) | 0.867168 | + | 4.35955i | 0.123881 | + | 0.622792i | 0.991979 | + | 0.126400i | \(0.0403423\pi\) |
−0.868098 | + | 0.496392i | \(0.834658\pi\) | |||||||
\(8\) | −2.91064 | − | 7.45172i | −0.363830 | − | 0.931465i | ||||
\(9\) | −0.698600 | + | 3.51210i | −0.0776223 | + | 0.390234i | ||||
\(10\) | −9.32562 | − | 7.75965i | −0.932562 | − | 0.775965i | ||||
\(11\) | 1.96387 | + | 19.9395i | 0.178534 | + | 1.81268i | 0.500288 | + | 0.865859i | \(0.333228\pi\) |
−0.321754 | + | 0.946823i | \(0.604272\pi\) | |||||||
\(12\) | 9.25352 | + | 1.03816i | 0.771127 | + | 0.0865131i | ||||
\(13\) | −2.26408 | − | 7.46367i | −0.174160 | − | 0.574129i | −0.999948 | − | 0.0101488i | \(-0.996769\pi\) |
0.825788 | − | 0.563980i | \(-0.190731\pi\) | |||||||
\(14\) | 1.79336 | − | 8.70714i | 0.128097 | − | 0.621939i | ||||
\(15\) | 13.0458 | − | 5.40376i | 0.869723 | − | 0.360251i | ||||
\(16\) | −0.433499 | + | 15.9941i | −0.0270937 | + | 0.999633i | ||||
\(17\) | 11.0016 | − | 26.5601i | 0.647150 | − | 1.56236i | −0.169691 | − | 0.985497i | \(-0.554277\pi\) |
0.816842 | − | 0.576862i | \(-0.195723\pi\) | |||||||
\(18\) | 4.01914 | − | 5.92774i | 0.223286 | − | 0.329319i | ||||
\(19\) | 8.06248 | − | 15.0838i | 0.424341 | − | 0.793886i | −0.575371 | − | 0.817893i | \(-0.695142\pi\) |
0.999712 | + | 0.0240066i | \(0.00764226\pi\) | |||||||
\(20\) | 11.1468 | + | 21.5515i | 0.557339 | + | 1.07757i | ||||
\(21\) | 7.99864 | + | 6.56431i | 0.380887 | + | 0.312586i | ||||
\(22\) | 11.8918 | − | 38.2668i | 0.540535 | − | 1.73940i | ||||
\(23\) | −0.595515 | + | 0.397910i | −0.0258920 | + | 0.0173005i | −0.568449 | − | 0.822719i | \(-0.692456\pi\) |
0.542557 | + | 0.840019i | \(0.317456\pi\) | |||||||
\(24\) | −16.2424 | − | 9.11084i | −0.676765 | − | 0.379618i | ||||
\(25\) | 9.80705 | + | 6.55286i | 0.392282 | + | 0.262115i | ||||
\(26\) | −1.63410 | + | 15.5132i | −0.0628500 | + | 0.596662i | ||||
\(27\) | 13.8058 | + | 25.8288i | 0.511326 | + | 0.956624i | ||||
\(28\) | −10.0773 | + | 14.6482i | −0.359904 | + | 0.523150i | ||||
\(29\) | −1.40837 | + | 14.2994i | −0.0485645 | + | 0.493084i | 0.939880 | + | 0.341504i | \(0.110936\pi\) |
−0.988445 | + | 0.151580i | \(0.951564\pi\) | |||||||
\(30\) | −28.2408 | − | 0.191313i | −0.941360 | − | 0.00637710i | ||||
\(31\) | −24.5997 | − | 24.5997i | −0.793537 | − | 0.793537i | 0.188530 | − | 0.982067i | \(-0.439628\pi\) |
−0.982067 | + | 0.188530i | \(0.939628\pi\) | |||||||
\(32\) | 13.2400 | − | 29.1325i | 0.413751 | − | 0.910390i | ||||
\(33\) | 32.9806 | + | 32.9806i | 0.999413 | + | 0.999413i | ||||
\(34\) | −40.9309 | + | 40.3801i | −1.20385 | + | 1.18765i | ||||
\(35\) | −2.64279 | + | 26.8327i | −0.0755083 | + | 0.766649i | ||||
\(36\) | −12.0164 | + | 7.79570i | −0.333788 | + | 0.216547i | ||||
\(37\) | −31.9700 | − | 59.8117i | −0.864055 | − | 1.61653i | −0.784859 | − | 0.619674i | \(-0.787265\pi\) |
−0.0791962 | − | 0.996859i | \(-0.525235\pi\) | |||||||
\(38\) | −26.5886 | + | 21.5209i | −0.699700 | + | 0.566340i | ||||
\(39\) | −15.0965 | − | 10.0872i | −0.387091 | − | 0.258646i | ||||
\(40\) | −3.77411 | − | 48.3800i | −0.0943527 | − | 1.20950i | ||||
\(41\) | 9.33094 | − | 6.23473i | 0.227584 | − | 0.152067i | −0.436551 | − | 0.899680i | \(-0.643800\pi\) |
0.664135 | + | 0.747613i | \(0.268800\pi\) | |||||||
\(42\) | −9.63159 | − | 18.3168i | −0.229323 | − | 0.436115i | ||||
\(43\) | −18.2349 | − | 14.9650i | −0.424068 | − | 0.348024i | 0.398027 | − | 0.917374i | \(-0.369695\pi\) |
−0.822095 | + | 0.569350i | \(0.807195\pi\) | |||||||
\(44\) | −51.6774 | + | 61.2576i | −1.17449 | + | 1.39222i | ||||
\(45\) | −10.2394 | + | 19.1565i | −0.227542 | + | 0.425700i | ||||
\(46\) | 1.40678 | − | 0.269932i | 0.0305821 | − | 0.00586808i | ||||
\(47\) | −33.2414 | + | 80.2519i | −0.707264 | + | 1.70749i | −0.000538534 | 1.00000i | \(0.500171\pi\) | |
−0.706726 | + | 0.707487i | \(0.749829\pi\) | |||||||
\(48\) | 22.8401 | + | 29.4214i | 0.475835 | + | 0.612946i | ||||
\(49\) | 27.0164 | − | 11.1906i | 0.551356 | − | 0.228379i | ||||
\(50\) | −12.9726 | − | 19.7024i | −0.259451 | − | 0.394049i | ||||
\(51\) | −19.4268 | − | 64.0417i | −0.380918 | − | 1.25572i | ||||
\(52\) | 15.0781 | − | 27.3125i | 0.289963 | − | 0.525240i | ||||
\(53\) | −0.361597 | − | 3.67135i | −0.00682258 | − | 0.0692708i | 0.991171 | − | 0.132593i | \(-0.0423304\pi\) |
−0.997993 | + | 0.0633223i | \(0.979830\pi\) | |||||||
\(54\) | −5.34625 | − | 58.3296i | −0.0990046 | − | 1.08018i | ||||
\(55\) | −23.7105 | + | 119.201i | −0.431099 | + | 2.16728i | ||||
\(56\) | 29.9621 | − | 19.1510i | 0.535038 | − | 0.341981i | ||||
\(57\) | −7.76749 | − | 39.0498i | −0.136272 | − | 0.685085i | ||||
\(58\) | 13.7180 | − | 25.2517i | 0.236518 | − | 0.435373i | ||||
\(59\) | 2.11439 | + | 0.641393i | 0.0358371 | + | 0.0108711i | 0.308152 | − | 0.951337i | \(-0.400289\pi\) |
−0.272315 | + | 0.962208i | \(0.587789\pi\) | |||||||
\(60\) | 51.8857 | + | 22.3201i | 0.864762 | + | 0.372001i | ||||
\(61\) | 11.0406 | − | 9.06078i | 0.180993 | − | 0.148537i | −0.539534 | − | 0.841964i | \(-0.681400\pi\) |
0.720528 | + | 0.693426i | \(0.243900\pi\) | |||||||
\(62\) | 26.1904 | + | 64.4609i | 0.422426 | + | 1.03969i | ||||
\(63\) | −15.9170 | −0.252650 | ||||||||
\(64\) | −47.0564 | + | 43.3786i | −0.735256 | + | 0.677790i | ||||
\(65\) | − | 47.3109i | − | 0.727860i | ||||||
\(66\) | −35.1133 | − | 86.4224i | −0.532020 | − | 1.30943i | ||||
\(67\) | −56.9677 | − | 69.4153i | −0.850264 | − | 1.03605i | −0.998888 | − | 0.0471560i | \(-0.984984\pi\) |
0.148623 | − | 0.988894i | \(-0.452516\pi\) | |||||||
\(68\) | 106.827 | − | 42.5628i | 1.57098 | − | 0.625924i | ||||
\(69\) | −0.483987 | + | 1.59549i | −0.00701430 | + | 0.0231231i | ||||
\(70\) | 25.7417 | − | 47.3844i | 0.367738 | − | 0.676920i | ||||
\(71\) | −48.0353 | + | 9.55482i | −0.676554 | + | 0.134575i | −0.521396 | − | 0.853315i | \(-0.674589\pi\) |
−0.155158 | + | 0.987890i | \(0.549589\pi\) | |||||||
\(72\) | 28.2046 | − | 5.01668i | 0.391730 | − | 0.0696762i | ||||
\(73\) | 96.8484 | + | 19.2643i | 1.32669 | + | 0.263895i | 0.807046 | − | 0.590488i | \(-0.201065\pi\) |
0.519644 | + | 0.854383i | \(0.326065\pi\) | |||||||
\(74\) | 12.3803 | + | 135.073i | 0.167301 | + | 1.82532i | ||||
\(75\) | 27.3249 | − | 2.69127i | 0.364332 | − | 0.0358836i | ||||
\(76\) | 65.7307 | − | 18.9706i | 0.864878 | − | 0.249613i | ||||
\(77\) | −85.2242 | + | 25.8525i | −1.10681 | + | 0.335746i | ||||
\(78\) | 19.9694 | + | 30.3291i | 0.256018 | + | 0.388834i | ||||
\(79\) | 25.4666 | + | 61.4817i | 0.322362 | + | 0.778250i | 0.999116 | + | 0.0420409i | \(0.0133860\pi\) |
−0.676754 | + | 0.736209i | \(0.736614\pi\) | |||||||
\(80\) | −30.6793 | + | 92.0775i | −0.383491 | + | 1.15097i | ||||
\(81\) | 33.2125 | + | 13.7571i | 0.410031 | + | 0.169840i | ||||
\(82\) | −22.0423 | + | 4.22947i | −0.268809 | + | 0.0515789i | ||||
\(83\) | 13.2582 | + | 7.08666i | 0.159737 | + | 0.0853814i | 0.549328 | − | 0.835607i | \(-0.314884\pi\) |
−0.389591 | + | 0.920988i | \(0.627384\pi\) | |||||||
\(84\) | 3.49846 | + | 41.2414i | 0.0416484 | + | 0.490969i | ||||
\(85\) | 110.628 | − | 134.801i | 1.30151 | − | 1.58589i | ||||
\(86\) | 21.9577 | + | 41.7579i | 0.255322 | + | 0.485557i | ||||
\(87\) | 18.5831 | + | 27.8115i | 0.213599 | + | 0.319673i | ||||
\(88\) | 142.868 | − | 72.6709i | 1.62350 | − | 0.825806i | ||||
\(89\) | 35.3409 | − | 52.8915i | 0.397089 | − | 0.594286i | −0.578017 | − | 0.816025i | \(-0.696173\pi\) |
0.975106 | + | 0.221739i | \(0.0711732\pi\) | |||||||
\(90\) | 33.7676 | − | 27.3316i | 0.375195 | − | 0.303685i | ||||
\(91\) | 30.5749 | − | 16.3426i | 0.335988 | − | 0.179589i | ||||
\(92\) | −2.80200 | − | 0.596927i | −0.0304565 | − | 0.00648833i | ||||
\(93\) | −80.5955 | − | 7.93797i | −0.866619 | − | 0.0853545i | ||||
\(94\) | 123.674 | − | 122.009i | 1.31568 | − | 1.29797i | ||||
\(95\) | 73.3602 | − | 73.3602i | 0.772213 | − | 0.772213i | ||||
\(96\) | −19.1976 | − | 71.9764i | −0.199975 | − | 0.749754i | ||||
\(97\) | −52.0821 | + | 52.0821i | −0.536929 | + | 0.536929i | −0.922626 | − | 0.385696i | \(-0.873961\pi\) |
0.385696 | + | 0.922626i | \(0.373961\pi\) | |||||||
\(98\) | −58.4834 | − | 0.396187i | −0.596769 | − | 0.00404273i | ||||
\(99\) | −71.4015 | − | 7.03244i | −0.721228 | − | 0.0710347i | ||||
\(100\) | 8.57649 | + | 46.3933i | 0.0857649 | + | 0.463933i | ||||
\(101\) | −101.208 | + | 54.0967i | −1.00206 | + | 0.535611i | −0.888966 | − | 0.457974i | \(-0.848575\pi\) |
−0.113092 | + | 0.993585i | \(0.536075\pi\) | |||||||
\(102\) | −14.0213 | + | 133.110i | −0.137464 | + | 1.30500i | ||||
\(103\) | −4.94857 | + | 7.40606i | −0.0480444 | + | 0.0719035i | −0.854714 | − | 0.519099i | \(-0.826268\pi\) |
0.806670 | + | 0.591002i | \(0.201268\pi\) | |||||||
\(104\) | −49.0273 | + | 38.5954i | −0.471416 | + | 0.371109i | ||||
\(105\) | 34.8709 | + | 52.1880i | 0.332104 | + | 0.497028i | ||||
\(106\) | −2.18957 | + | 7.04586i | −0.0206563 | + | 0.0664704i | ||||
\(107\) | 72.0118 | − | 87.7466i | 0.673007 | − | 0.820062i | −0.318798 | − | 0.947823i | \(-0.603279\pi\) |
0.991805 | + | 0.127761i | \(0.0407790\pi\) | |||||||
\(108\) | −35.5220 | + | 111.633i | −0.328907 | + | 1.03364i | ||||
\(109\) | −171.404 | − | 91.6171i | −1.57251 | − | 0.840524i | −0.999784 | − | 0.0207772i | \(-0.993386\pi\) |
−0.572726 | − | 0.819747i | \(-0.694114\pi\) | |||||||
\(110\) | 136.409 | − | 201.187i | 1.24008 | − | 1.82897i | ||||
\(111\) | −145.860 | − | 60.4171i | −1.31405 | − | 0.544298i | ||||
\(112\) | −70.1031 | + | 11.9797i | −0.625920 | + | 0.106962i | ||||
\(113\) | 62.0647 | + | 149.837i | 0.549245 | + | 1.32600i | 0.918041 | + | 0.396485i | \(0.129770\pi\) |
−0.368796 | + | 0.929510i | \(0.620230\pi\) | |||||||
\(114\) | −16.0637 | + | 77.9926i | −0.140910 | + | 0.684146i | ||||
\(115\) | −4.15743 | + | 1.26114i | −0.0361515 | + | 0.0109665i | ||||
\(116\) | −44.9183 | + | 35.8562i | −0.387227 | + | 0.309105i | ||||
\(117\) | 27.7949 | − | 2.73756i | 0.237563 | − | 0.0233979i | ||||
\(118\) | −3.39691 | − | 2.82650i | −0.0287874 | − | 0.0239534i | ||||
\(119\) | 125.330 | + | 24.9297i | 1.05320 | + | 0.209494i | ||||
\(120\) | −78.2391 | − | 81.4856i | −0.651992 | − | 0.679047i | ||||
\(121\) | −275.052 | + | 54.7113i | −2.27316 | + | 0.452159i | ||||
\(122\) | −27.3907 | + | 8.10667i | −0.224514 | + | 0.0664481i | ||||
\(123\) | 7.58344 | − | 24.9992i | 0.0616540 | − | 0.203246i | ||||
\(124\) | 1.88531 | − | 139.144i | 0.0152041 | − | 1.12213i | ||||
\(125\) | −50.8154 | − | 61.9188i | −0.406523 | − | 0.495350i | ||||
\(126\) | 29.3275 | + | 12.3813i | 0.232758 | + | 0.0982641i | ||||
\(127\) | − | 109.026i | − | 0.858475i | −0.903192 | − | 0.429237i | \(-0.858782\pi\) | ||
0.903192 | − | 0.429237i | \(-0.141218\pi\) | |||||||
\(128\) | 120.446 | − | 43.3228i | 0.940981 | − | 0.338460i | ||||
\(129\) | −54.9139 | −0.425689 | ||||||||
\(130\) | −36.8016 | + | 87.1719i | −0.283089 | + | 0.670553i | ||||
\(131\) | 60.0219 | − | 49.2587i | 0.458183 | − | 0.376021i | −0.376802 | − | 0.926294i | \(-0.622976\pi\) |
0.834985 | + | 0.550273i | \(0.185476\pi\) | |||||||
\(132\) | −2.52762 | + | 186.550i | −0.0191486 | + | 1.41325i | ||||
\(133\) | 72.7502 | + | 22.0685i | 0.546994 | + | 0.165929i | ||||
\(134\) | 50.9689 | + | 172.213i | 0.380365 | + | 1.28517i | ||||
\(135\) | 34.6581 | + | 174.238i | 0.256726 | + | 1.29065i | ||||
\(136\) | −229.940 | − | 4.67366i | −1.69074 | − | 0.0343651i | ||||
\(137\) | 8.68139 | − | 43.6443i | 0.0633678 | − | 0.318571i | −0.936080 | − | 0.351786i | \(-0.885574\pi\) |
0.999448 | + | 0.0332146i | \(0.0105745\pi\) | |||||||
\(138\) | 2.13284 | − | 2.56327i | 0.0154554 | − | 0.0185744i | ||||
\(139\) | 1.22908 | + | 12.4791i | 0.00884233 | + | 0.0897776i | 0.998593 | − | 0.0530286i | \(-0.0168874\pi\) |
−0.989751 | + | 0.142806i | \(0.954387\pi\) | |||||||
\(140\) | −84.2886 | + | 67.2837i | −0.602062 | + | 0.480598i | ||||
\(141\) | 58.6986 | + | 193.503i | 0.416302 | + | 1.37236i | ||||
\(142\) | 95.9390 | + | 19.7600i | 0.675627 | + | 0.139155i | ||||
\(143\) | 144.376 | − | 59.8023i | 1.00962 | − | 0.418198i | ||||
\(144\) | −55.8702 | − | 12.6960i | −0.387987 | − | 0.0881666i | ||||
\(145\) | −33.3540 | + | 80.5238i | −0.230028 | + | 0.555336i | ||||
\(146\) | −163.461 | − | 110.830i | −1.11960 | − | 0.759111i | ||||
\(147\) | 32.0895 | − | 60.0352i | 0.218296 | − | 0.408402i | ||||
\(148\) | 82.2580 | − | 258.507i | 0.555798 | − | 1.74667i | ||||
\(149\) | 58.8691 | + | 48.3126i | 0.395094 | + | 0.324246i | 0.810875 | − | 0.585219i | \(-0.198992\pi\) |
−0.415781 | + | 0.909465i | \(0.636492\pi\) | |||||||
\(150\) | −52.4405 | − | 16.2964i | −0.349603 | − | 0.108643i | ||||
\(151\) | −44.8932 | + | 29.9967i | −0.297306 | + | 0.198654i | −0.695272 | − | 0.718747i | \(-0.744716\pi\) |
0.397966 | + | 0.917400i | \(0.369716\pi\) | |||||||
\(152\) | −135.868 | − | 16.1757i | −0.893865 | − | 0.106419i | ||||
\(153\) | 85.5961 | + | 57.1935i | 0.559452 | + | 0.373814i | ||||
\(154\) | 177.138 | + | 18.6590i | 1.15025 | + | 0.121162i | ||||
\(155\) | −99.4773 | − | 186.109i | −0.641789 | − | 1.20070i | ||||
\(156\) | −13.2023 | − | 71.4158i | −0.0846299 | − | 0.457793i | ||||
\(157\) | −9.50349 | + | 96.4905i | −0.0605318 | + | 0.614589i | 0.916287 | + | 0.400522i | \(0.131171\pi\) |
−0.976819 | + | 0.214067i | \(0.931329\pi\) | |||||||
\(158\) | 0.901610 | − | 133.092i | 0.00570639 | − | 0.842352i | ||||
\(159\) | −6.07255 | − | 6.07255i | −0.0381921 | − | 0.0381921i | ||||
\(160\) | 128.152 | − | 145.791i | 0.800947 | − | 0.911196i | ||||
\(161\) | −2.25112 | − | 2.25112i | −0.0139821 | − | 0.0139821i | ||||
\(162\) | −50.4939 | − | 51.1827i | −0.311691 | − | 0.315943i | ||||
\(163\) | −10.2490 | + | 104.060i | −0.0628776 | + | 0.638407i | 0.911165 | + | 0.412042i | \(0.135184\pi\) |
−0.974043 | + | 0.226365i | \(0.927316\pi\) | |||||||
\(164\) | 43.9037 | + | 9.35306i | 0.267705 | + | 0.0570308i | ||||
\(165\) | 133.369 | + | 249.515i | 0.808295 | + | 1.51221i | ||||
\(166\) | −18.9162 | − | 23.3705i | −0.113953 | − | 0.140786i | ||||
\(167\) | −22.6467 | − | 15.1321i | −0.135609 | − | 0.0906112i | 0.485915 | − | 0.874006i | \(-0.338486\pi\) |
−0.621524 | + | 0.783395i | \(0.713486\pi\) | |||||||
\(168\) | 25.6343 | − | 78.7100i | 0.152585 | − | 0.468512i | ||||
\(169\) | 89.9380 | − | 60.0946i | 0.532177 | − | 0.355590i | ||||
\(170\) | −308.694 | + | 162.321i | −1.81584 | + | 0.954830i | ||||
\(171\) | 47.3435 | + | 38.8538i | 0.276863 | + | 0.227215i | ||||
\(172\) | −7.97564 | − | 94.0204i | −0.0463700 | − | 0.546630i | ||||
\(173\) | 79.3789 | − | 148.508i | 0.458838 | − | 0.858425i | −0.541011 | − | 0.841016i | \(-0.681958\pi\) |
0.999848 | − | 0.0174094i | \(-0.00554188\pi\) | |||||||
\(174\) | −12.6062 | − | 65.6988i | −0.0724497 | − | 0.377579i | ||||
\(175\) | −20.0632 | + | 48.4367i | −0.114647 | + | 0.276781i | ||||
\(176\) | −319.766 | + | 22.7666i | −1.81685 | + | 0.129356i | ||||
\(177\) | 4.75203 | − | 1.96835i | 0.0268476 | − | 0.0111206i | ||||
\(178\) | −106.259 | + | 69.9637i | −0.596962 | + | 0.393054i | ||||
\(179\) | 11.7573 | + | 38.7585i | 0.0656830 | + | 0.216528i | 0.983638 | − | 0.180157i | \(-0.0576606\pi\) |
−0.917955 | + | 0.396685i | \(0.870161\pi\) | |||||||
\(180\) | −83.4782 | + | 24.0927i | −0.463768 | + | 0.133849i | ||||
\(181\) | −20.4425 | − | 207.556i | −0.112942 | − | 1.14672i | −0.869890 | − | 0.493245i | \(-0.835810\pi\) |
0.756948 | − | 0.653475i | \(-0.226690\pi\) | |||||||
\(182\) | −69.0476 | + | 6.32862i | −0.379382 | + | 0.0347726i | ||||
\(183\) | 6.48643 | − | 32.6095i | 0.0354450 | − | 0.178194i | ||||
\(184\) | 4.69845 | + | 3.27944i | 0.0255350 | + | 0.0178230i | ||||
\(185\) | −80.2575 | − | 403.482i | −0.433825 | − | 2.18098i | ||||
\(186\) | 142.325 | + | 77.3185i | 0.765189 | + | 0.415691i | ||||
\(187\) | 551.201 | + | 167.205i | 2.94760 | + | 0.894144i | ||||
\(188\) | −322.780 | + | 128.604i | −1.71691 | + | 0.684066i | ||||
\(189\) | −100.630 | + | 82.5850i | −0.532434 | + | 0.436958i | ||||
\(190\) | −192.233 | + | 78.1041i | −1.01175 | + | 0.411074i | ||||
\(191\) | 14.6977 | 0.0769511 | 0.0384755 | − | 0.999260i | \(-0.487750\pi\) | ||||
0.0384755 | + | 0.999260i | \(0.487750\pi\) | |||||||
\(192\) | −20.6158 | + | 147.552i | −0.107374 | + | 0.768500i | ||||
\(193\) | 308.273i | 1.59727i | 0.601817 | + | 0.798634i | \(0.294444\pi\) | ||||
−0.601817 | + | 0.798634i | \(0.705556\pi\) | |||||||
\(194\) | 136.476 | − | 55.4501i | 0.703484 | − | 0.285825i | ||||
\(195\) | −69.8688 | − | 85.1354i | −0.358301 | − | 0.436592i | ||||
\(196\) | 107.449 | + | 46.2223i | 0.548211 | + | 0.235828i | ||||
\(197\) | 42.0385 | − | 138.582i | 0.213393 | − | 0.703464i | −0.783258 | − | 0.621697i | \(-0.786444\pi\) |
0.996651 | − | 0.0817671i | \(-0.0260564\pi\) | |||||||
\(198\) | 126.089 | + | 68.4983i | 0.636815 | + | 0.345951i | ||||
\(199\) | 2.72922 | − | 0.542875i | 0.0137147 | − | 0.00272801i | −0.188228 | − | 0.982125i | \(-0.560274\pi\) |
0.201943 | + | 0.979397i | \(0.435274\pi\) | |||||||
\(200\) | 20.2853 | − | 92.1525i | 0.101427 | − | 0.460762i | ||||
\(201\) | −205.025 | − | 40.7821i | −1.02003 | − | 0.202896i | ||||
\(202\) | 228.559 | − | 20.9487i | 1.13148 | − | 0.103707i | ||||
\(203\) | −63.5604 | + | 6.26015i | −0.313105 | + | 0.0308382i | ||||
\(204\) | 129.377 | − | 234.353i | 0.634200 | − | 1.14879i | ||||
\(205\) | 65.1414 | − | 19.7604i | 0.317763 | − | 0.0963924i | ||||
\(206\) | 14.8788 | − | 9.79657i | 0.0722273 | − | 0.0475562i | ||||
\(207\) | −0.981475 | − | 2.36949i | −0.00474142 | − | 0.0114468i | ||||
\(208\) | 120.356 | − | 32.9765i | 0.578637 | − | 0.158541i | ||||
\(209\) | 316.598 | + | 131.139i | 1.51482 | + | 0.627460i | ||||
\(210\) | −23.6555 | − | 123.283i | −0.112645 | − | 0.587062i | ||||
\(211\) | −3.97141 | − | 2.12276i | −0.0188219 | − | 0.0100605i | 0.461959 | − | 0.886901i | \(-0.347147\pi\) |
−0.480781 | + | 0.876841i | \(0.659647\pi\) | |||||||
\(212\) | 9.51509 | − | 11.2790i | 0.0448825 | − | 0.0532030i | ||||
\(213\) | −72.3284 | + | 88.1324i | −0.339570 | + | 0.413767i | ||||
\(214\) | −200.939 | + | 105.660i | −0.938968 | + | 0.493740i | ||||
\(215\) | −79.4971 | − | 118.976i | −0.369754 | − | 0.553376i | ||||
\(216\) | 152.286 | − | 178.056i | 0.705026 | − | 0.824331i | ||||
\(217\) | 85.9113 | − | 128.575i | 0.395905 | − | 0.592513i | ||||
\(218\) | 244.551 | + | 302.137i | 1.12179 | + | 1.38595i | ||||
\(219\) | 202.727 | − | 108.360i | 0.925694 | − | 0.494794i | ||||
\(220\) | −407.835 | + | 264.586i | −1.85380 | + | 1.20266i | ||||
\(221\) | −223.144 | − | 21.9778i | −1.00970 | − | 0.0994471i | ||||
\(222\) | 221.755 | + | 224.780i | 0.998895 | + | 1.01252i | ||||
\(223\) | 131.046 | − | 131.046i | 0.587652 | − | 0.587652i | −0.349343 | − | 0.936995i | \(-0.613595\pi\) |
0.936995 | + | 0.349343i | \(0.113595\pi\) | |||||||
\(224\) | 138.486 | + | 32.4578i | 0.618240 | + | 0.144901i | ||||
\(225\) | −29.8655 | + | 29.8655i | −0.132736 | + | 0.132736i | ||||
\(226\) | 2.19732 | − | 324.358i | 0.00972265 | − | 1.43521i | ||||
\(227\) | −378.962 | − | 37.3245i | −1.66944 | − | 0.164425i | −0.781347 | − | 0.624097i | \(-0.785467\pi\) |
−0.888089 | + | 0.459672i | \(0.847967\pi\) | |||||||
\(228\) | 90.2657 | − | 131.209i | 0.395902 | − | 0.575476i | ||||
\(229\) | −262.818 | + | 140.479i | −1.14768 | + | 0.613446i | −0.931799 | − | 0.362974i | \(-0.881761\pi\) |
−0.215878 | + | 0.976420i | \(0.569261\pi\) | |||||||
\(230\) | 8.64119 | + | 0.910229i | 0.0375704 | + | 0.00395752i | ||||
\(231\) | −115.181 | + | 172.380i | −0.498618 | + | 0.746235i | ||||
\(232\) | 110.655 | − | 31.1257i | 0.476960 | − | 0.134163i | ||||
\(233\) | 71.9717 | + | 107.713i | 0.308892 | + | 0.462289i | 0.953141 | − | 0.302527i | \(-0.0978301\pi\) |
−0.644249 | + | 0.764816i | \(0.722830\pi\) | |||||||
\(234\) | −53.3424 | − | 16.5767i | −0.227959 | − | 0.0708404i | ||||
\(235\) | −334.266 | + | 407.304i | −1.42241 | + | 1.73321i | ||||
\(236\) | 4.06028 | + | 7.85027i | 0.0172046 | + | 0.0332638i | ||||
\(237\) | 136.623 | + | 73.0265i | 0.576468 | + | 0.308129i | ||||
\(238\) | −211.533 | − | 143.424i | −0.888794 | − | 0.602622i | ||||
\(239\) | 264.935 | + | 109.739i | 1.10851 | + | 0.459161i | 0.860425 | − | 0.509577i | \(-0.170198\pi\) |
0.248087 | + | 0.968738i | \(0.420198\pi\) | |||||||
\(240\) | 80.7731 | + | 210.999i | 0.336555 | + | 0.879164i | ||||
\(241\) | 22.0377 | + | 53.2037i | 0.0914426 | + | 0.220762i | 0.962983 | − | 0.269561i | \(-0.0868787\pi\) |
−0.871541 | + | 0.490323i | \(0.836879\pi\) | |||||||
\(242\) | 549.350 | + | 113.147i | 2.27004 | + | 0.467548i | ||||
\(243\) | −172.152 | + | 52.2216i | −0.708443 | + | 0.214904i | ||||
\(244\) | 56.7742 | + | 6.36952i | 0.232681 | + | 0.0261046i | ||||
\(245\) | 176.526 | − | 17.3863i | 0.720516 | − | 0.0709646i | ||||
\(246\) | −33.4188 | + | 40.1630i | −0.135849 | + | 0.163264i | ||||
\(247\) | −130.835 | − | 26.0247i | −0.529696 | − | 0.105363i | ||||
\(248\) | −111.709 | + | 254.911i | −0.450440 | + | 1.02787i | ||||
\(249\) | 34.3235 | − | 6.82737i | 0.137845 | − | 0.0274192i | ||||
\(250\) | 45.4645 | + | 153.615i | 0.181858 | + | 0.614460i | ||||
\(251\) | 88.4462 | − | 291.568i | 0.352375 | − | 1.16163i | −0.584332 | − | 0.811514i | \(-0.698644\pi\) |
0.936708 | − | 0.350112i | \(-0.113856\pi\) | |||||||
\(252\) | −44.4059 | − | 45.6258i | −0.176214 | − | 0.181055i | ||||
\(253\) | −9.10365 | − | 11.0928i | −0.0359828 | − | 0.0438452i | ||||
\(254\) | −84.8079 | + | 200.884i | −0.333889 | + | 0.790883i | ||||
\(255\) | − | 405.949i | − | 1.59196i | ||||||
\(256\) | −255.624 | − | 13.8669i | −0.998532 | − | 0.0541675i | ||||
\(257\) | 345.031 | 1.34253 | 0.671267 | − | 0.741215i | \(-0.265750\pi\) | ||||
0.671267 | + | 0.741215i | \(0.265750\pi\) | |||||||
\(258\) | 101.181 | + | 42.7157i | 0.392173 | + | 0.165565i | ||||
\(259\) | 233.029 | − | 191.242i | 0.899725 | − | 0.738385i | ||||
\(260\) | 135.616 | − | 131.990i | 0.521601 | − | 0.507655i | ||||
\(261\) | −49.2372 | − | 14.9359i | −0.188648 | − | 0.0572258i | ||||
\(262\) | −148.909 | + | 44.0717i | −0.568355 | + | 0.168213i | ||||
\(263\) | −77.1122 | − | 387.669i | −0.293202 | − | 1.47403i | −0.793711 | − | 0.608295i | \(-0.791854\pi\) |
0.500508 | − | 0.865732i | \(-0.333146\pi\) | |||||||
\(264\) | 149.768 | − | 341.757i | 0.567302 | − | 1.29454i | ||||
\(265\) | 4.36568 | − | 21.9478i | 0.0164743 | − | 0.0828217i | ||||
\(266\) | −116.878 | − | 97.2519i | −0.439392 | − | 0.365609i | ||||
\(267\) | −14.5146 | − | 147.369i | −0.0543617 | − | 0.551944i | ||||
\(268\) | 40.0470 | − | 356.955i | 0.149429 | − | 1.33192i | ||||
\(269\) | 131.355 | + | 433.019i | 0.488308 | + | 1.60974i | 0.761766 | + | 0.647853i | \(0.224333\pi\) |
−0.273457 | + | 0.961884i | \(0.588167\pi\) | |||||||
\(270\) | 71.6752 | − | 347.998i | 0.265464 | − | 1.28888i | ||||
\(271\) | 173.761 | − | 71.9743i | 0.641186 | − | 0.265588i | −0.0383113 | − | 0.999266i | \(-0.512198\pi\) |
0.679497 | + | 0.733678i | \(0.262198\pi\) | |||||||
\(272\) | 420.037 | + | 187.474i | 1.54425 | + | 0.689243i | ||||
\(273\) | 30.8843 | − | 74.5614i | 0.113129 | − | 0.273119i | ||||
\(274\) | −49.9451 | + | 73.6630i | −0.182282 | + | 0.268843i | ||||
\(275\) | −111.401 | + | 208.417i | −0.405095 | + | 0.757879i | ||||
\(276\) | −5.92371 | + | 3.06384i | −0.0214627 | + | 0.0111009i | ||||
\(277\) | −157.542 | − | 129.291i | −0.568742 | − | 0.466755i | 0.305536 | − | 0.952181i | \(-0.401164\pi\) |
−0.874278 | + | 0.485426i | \(0.838664\pi\) | |||||||
\(278\) | 7.44244 | − | 23.9492i | 0.0267714 | − | 0.0861482i | ||||
\(279\) | 103.582 | − | 69.2112i | 0.371261 | − | 0.248069i | ||||
\(280\) | 207.642 | − | 58.4070i | 0.741579 | − | 0.208596i | ||||
\(281\) | −162.701 | − | 108.714i | −0.579009 | − | 0.386881i | 0.231302 | − | 0.972882i | \(-0.425702\pi\) |
−0.810310 | + | 0.586001i | \(0.800702\pi\) | |||||||
\(282\) | 42.3657 | − | 402.195i | 0.150233 | − | 1.42622i | ||||
\(283\) | 238.295 | + | 445.818i | 0.842031 | + | 1.57533i | 0.817713 | + | 0.575626i | \(0.195241\pi\) |
0.0243181 | + | 0.999704i | \(0.492259\pi\) | |||||||
\(284\) | −161.400 | − | 111.036i | −0.568310 | − | 0.390972i | ||||
\(285\) | 23.6723 | − | 240.349i | 0.0830608 | − | 0.843330i | ||||
\(286\) | −312.535 | − | 2.11722i | −1.09278 | − | 0.00740288i | ||||
\(287\) | 35.2721 | + | 35.2721i | 0.122899 | + | 0.122899i | ||||
\(288\) | 93.0668 | + | 66.8523i | 0.323148 | + | 0.232126i | ||||
\(289\) | −380.051 | − | 380.051i | −1.31506 | − | 1.31506i | ||||
\(290\) | 124.093 | − | 122.423i | 0.427906 | − | 0.422147i | ||||
\(291\) | −16.8062 | + | 170.636i | −0.0577532 | + | 0.586378i | ||||
\(292\) | 214.971 | + | 331.359i | 0.736203 | + | 1.13479i | ||||
\(293\) | 18.2061 | + | 34.0612i | 0.0621369 | + | 0.116250i | 0.911072 | − | 0.412247i | \(-0.135256\pi\) |
−0.848935 | + | 0.528497i | \(0.822756\pi\) | |||||||
\(294\) | −105.825 | + | 85.6554i | −0.359950 | + | 0.291345i | ||||
\(295\) | 11.1440 | + | 7.44617i | 0.0377762 | + | 0.0252413i | ||||
\(296\) | −352.647 | + | 412.322i | −1.19138 | + | 1.39298i | ||||
\(297\) | −487.902 | + | 326.005i | −1.64277 | + | 1.09766i | ||||
\(298\) | −70.8874 | − | 134.810i | −0.237877 | − | 0.452382i | ||||
\(299\) | 4.31817 | + | 3.54383i | 0.0144420 | + | 0.0118523i | ||||
\(300\) | 83.9469 | + | 70.8183i | 0.279823 | + | 0.236061i | ||||
\(301\) | 49.4280 | − | 92.4733i | 0.164213 | − | 0.307220i | ||||
\(302\) | 106.051 | − | 20.3489i | 0.351161 | − | 0.0673806i | ||||
\(303\) | −102.232 | + | 246.810i | −0.337400 | + | 0.814554i | ||||
\(304\) | 237.758 | + | 135.491i | 0.782098 | + | 0.445694i | ||||
\(305\) | 80.0416 | − | 33.1543i | 0.262432 | − | 0.108703i | ||||
\(306\) | −113.225 | − | 171.963i | −0.370015 | − | 0.561971i | ||||
\(307\) | 122.561 | + | 404.028i | 0.399220 | + | 1.31605i | 0.894403 | + | 0.447263i | \(0.147601\pi\) |
−0.495183 | + | 0.868789i | \(0.664899\pi\) | |||||||
\(308\) | −311.868 | − | 172.170i | −1.01256 | − | 0.558992i | ||||
\(309\) | 2.03239 | + | 20.6352i | 0.00657730 | + | 0.0667804i | ||||
\(310\) | 38.5222 | + | 420.292i | 0.124265 | + | 1.35578i | ||||
\(311\) | −81.6792 | + | 410.629i | −0.262634 | + | 1.32035i | 0.594016 | + | 0.804453i | \(0.297541\pi\) |
−0.856650 | + | 0.515897i | \(0.827459\pi\) | |||||||
\(312\) | −31.2263 | + | 141.855i | −0.100084 | + | 0.454665i | ||||
\(313\) | −35.4395 | − | 178.166i | −0.113225 | − | 0.569221i | −0.995195 | − | 0.0979149i | \(-0.968783\pi\) |
0.881970 | − | 0.471306i | \(-0.156217\pi\) | |||||||
\(314\) | 92.5672 | − | 170.394i | 0.294800 | − | 0.542657i | ||||
\(315\) | −92.3930 | − | 28.0271i | −0.293311 | − | 0.0889749i | ||||
\(316\) | −105.189 | + | 244.524i | −0.332876 | + | 0.773811i | ||||
\(317\) | −199.206 | + | 163.484i | −0.628410 | + | 0.515723i | −0.893828 | − | 0.448411i | \(-0.851990\pi\) |
0.265418 | + | 0.964134i | \(0.414490\pi\) | |||||||
\(318\) | 6.46523 | + | 15.9125i | 0.0203309 | + | 0.0500393i | ||||
\(319\) | −287.890 | −0.902475 | ||||||||
\(320\) | −349.529 | + | 168.940i | −1.09228 | + | 0.527939i | ||||
\(321\) | − | 264.246i | − | 0.823196i | ||||||
\(322\) | 2.39669 | + | 5.89883i | 0.00744314 | + | 0.0183194i | ||||
\(323\) | −311.928 | − | 380.086i | −0.965723 | − | 1.17674i | ||||
\(324\) | 53.2233 | + | 133.583i | 0.164270 | + | 0.412294i | ||||
\(325\) | 26.7045 | − | 88.0329i | 0.0821676 | − | 0.270870i | ||||
\(326\) | 99.8292 | − | 183.762i | 0.306225 | − | 0.563687i | ||||
\(327\) | −443.739 | + | 88.2651i | −1.35700 | + | 0.269924i | ||||
\(328\) | −73.6185 | − | 51.3845i | −0.224447 | − | 0.156660i | ||||
\(329\) | −378.688 | − | 75.3257i | −1.15103 | − | 0.228953i | ||||
\(330\) | −51.6465 | − | 563.483i | −0.156505 | − | 1.70752i | ||||
\(331\) | −119.821 | + | 11.8013i | −0.361996 | + | 0.0356535i | −0.277381 | − | 0.960760i | \(-0.589466\pi\) |
−0.0846157 | + | 0.996414i | \(0.526966\pi\) | |||||||
\(332\) | 16.6746 | + | 57.7751i | 0.0502245 | + | 0.174022i | ||||
\(333\) | 232.399 | − | 70.4975i | 0.697896 | − | 0.211704i | ||||
\(334\) | 29.9566 | + | 45.4975i | 0.0896905 | + | 0.136220i | ||||
\(335\) | −208.451 | − | 503.244i | −0.622241 | − | 1.50222i | ||||
\(336\) | −108.458 | + | 125.086i | −0.322791 | + | 0.372279i | ||||
\(337\) | −347.900 | − | 144.105i | −1.03234 | − | 0.427611i | −0.198786 | − | 0.980043i | \(-0.563700\pi\) |
−0.833558 | + | 0.552432i | \(0.813700\pi\) | |||||||
\(338\) | −212.459 | + | 40.7666i | −0.628578 | + | 0.120611i | ||||
\(339\) | 332.965 | + | 177.973i | 0.982197 | + | 0.524995i | ||||
\(340\) | 695.042 | − | 58.9596i | 2.04424 | − | 0.173411i | ||||
\(341\) | 442.194 | − | 538.816i | 1.29676 | − | 1.58010i | ||||
\(342\) | −57.0089 | − | 108.416i | −0.166693 | − | 0.317007i | ||||
\(343\) | 193.218 | + | 289.172i | 0.563319 | + | 0.843066i | ||||
\(344\) | −58.4399 | + | 179.440i | −0.169883 | + | 0.521627i | ||||
\(345\) | −5.61878 | + | 8.40910i | −0.0162863 | + | 0.0243742i | ||||
\(346\) | −261.777 | + | 211.884i | −0.756582 | + | 0.612381i | ||||
\(347\) | −466.982 | + | 249.607i | −1.34577 | + | 0.719330i | −0.977608 | − | 0.210432i | \(-0.932513\pi\) |
−0.368162 | + | 0.929762i | \(0.620013\pi\) | |||||||
\(348\) | −27.8775 | + | 130.858i | −0.0801077 | + | 0.376029i | ||||
\(349\) | −19.9253 | − | 1.96247i | −0.0570924 | − | 0.00562312i | 0.0694306 | − | 0.997587i | \(-0.477882\pi\) |
−0.126523 | + | 0.991964i | \(0.540382\pi\) | |||||||
\(350\) | 74.6443 | − | 73.6398i | 0.213269 | − | 0.210399i | ||||
\(351\) | 161.521 | − | 161.521i | 0.460173 | − | 0.460173i | ||||
\(352\) | 606.889 | + | 206.787i | 1.72412 | + | 0.587464i | ||||
\(353\) | −203.198 | + | 203.198i | −0.575631 | + | 0.575631i | −0.933696 | − | 0.358066i | \(-0.883436\pi\) |
0.358066 | + | 0.933696i | \(0.383436\pi\) | |||||||
\(354\) | −10.2869 | − | 0.0696870i | −0.0290590 | − | 0.000196856i | ||||
\(355\) | −295.654 | − | 29.1194i | −0.832828 | − | 0.0820264i | ||||
\(356\) | 250.209 | − | 46.2547i | 0.702833 | − | 0.129929i | ||||
\(357\) | 262.346 | − | 140.227i | 0.734864 | − | 0.392793i | ||||
\(358\) | 8.48580 | − | 80.5593i | 0.0237033 | − | 0.225026i | ||||
\(359\) | −65.7006 | + | 98.3279i | −0.183010 | + | 0.273894i | −0.911619 | − | 0.411036i | \(-0.865167\pi\) |
0.728609 | + | 0.684930i | \(0.240167\pi\) | |||||||
\(360\) | 172.552 | + | 20.5432i | 0.479312 | + | 0.0570646i | ||||
\(361\) | 38.0423 | + | 56.9343i | 0.105380 | + | 0.157713i | ||||
\(362\) | −123.785 | + | 398.331i | −0.341948 | + | 1.10036i | ||||
\(363\) | −414.155 | + | 504.649i | −1.14092 | + | 1.39022i | ||||
\(364\) | 132.145 | + | 42.0491i | 0.363036 | + | 0.115520i | ||||
\(365\) | 528.253 | + | 282.357i | 1.44727 | + | 0.773581i | ||||
\(366\) | −37.3173 | + | 55.0385i | −0.101960 | + | 0.150378i | ||||
\(367\) | −31.4672 | − | 13.0341i | −0.0857417 | − | 0.0355154i | 0.339400 | − | 0.940642i | \(-0.389776\pi\) |
−0.425142 | + | 0.905127i | \(0.639776\pi\) | |||||||
\(368\) | −6.10607 | − | 9.69724i | −0.0165926 | − | 0.0263512i | ||||
\(369\) | 15.3784 | + | 37.1268i | 0.0416759 | + | 0.100615i | ||||
\(370\) | −165.978 | + | 805.858i | −0.448589 | + | 2.17799i | ||||
\(371\) | 15.6919 | − | 4.76008i | 0.0422962 | − | 0.0128304i | ||||
\(372\) | −202.095 | − | 253.172i | −0.543267 | − | 0.680569i | ||||
\(373\) | 4.51918 | − | 0.445101i | 0.0121158 | − | 0.00119330i | −0.0919574 | − | 0.995763i | \(-0.529312\pi\) |
0.104073 | + | 0.994570i | \(0.466812\pi\) | |||||||
\(374\) | −885.542 | − | 736.841i | −2.36776 | − | 1.97016i | ||||
\(375\) | −182.883 | − | 36.3778i | −0.487689 | − | 0.0970074i | ||||
\(376\) | 694.769 | + | 14.1216i | 1.84779 | + | 0.0375573i | ||||
\(377\) | 109.915 | − | 21.8635i | 0.291552 | − | 0.0579933i | ||||
\(378\) | 249.654 | − | 73.8887i | 0.660461 | − | 0.195473i | ||||
\(379\) | 87.9798 | − | 290.030i | 0.232137 | − | 0.765252i | −0.761048 | − | 0.648696i | \(-0.775315\pi\) |
0.993184 | − | 0.116556i | \(-0.0371854\pi\) | |||||||
\(380\) | 414.950 | + | 5.62229i | 1.09197 | + | 0.0147955i | ||||
\(381\) | −161.010 | − | 196.191i | −0.422599 | − | 0.514938i | ||||
\(382\) | −27.0809 | − | 11.4328i | −0.0708924 | − | 0.0299288i | ||||
\(383\) | 64.8007i | 0.169192i | 0.996415 | + | 0.0845962i | \(0.0269600\pi\) | ||||
−0.996415 | + | 0.0845962i | \(0.973040\pi\) | |||||||
\(384\) | 152.761 | − | 255.833i | 0.397815 | − | 0.666232i | ||||
\(385\) | −540.221 | −1.40317 | ||||||||
\(386\) | 239.795 | − | 568.002i | 0.621230 | − | 1.47151i | ||||
\(387\) | 65.2976 | − | 53.5884i | 0.168728 | − | 0.138471i | ||||
\(388\) | −294.594 | − | 3.99155i | −0.759263 | − | 0.0102875i | ||||
\(389\) | 562.435 | + | 170.613i | 1.44585 | + | 0.438594i | 0.913120 | − | 0.407692i | \(-0.133666\pi\) |
0.532730 | + | 0.846285i | \(0.321166\pi\) | |||||||
\(390\) | 62.5115 | + | 211.213i | 0.160286 | + | 0.541572i | ||||
\(391\) | 4.01695 | + | 20.1946i | 0.0102735 | + | 0.0516485i | ||||
\(392\) | −162.024 | − | 168.747i | −0.413327 | − | 0.430478i | ||||
\(393\) | 35.2633 | − | 177.281i | 0.0897286 | − | 0.451096i | ||||
\(394\) | −185.256 | + | 222.642i | −0.470193 | + | 0.565081i | ||||
\(395\) | 39.5664 | + | 401.724i | 0.100168 | + | 1.01702i | ||||
\(396\) | −179.041 | − | 224.291i | −0.452124 | − | 0.566392i | ||||
\(397\) | −63.9047 | − | 210.665i | −0.160969 | − | 0.530643i | 0.838939 | − | 0.544226i | \(-0.183176\pi\) |
−0.999908 | + | 0.0135823i | \(0.995676\pi\) | |||||||
\(398\) | −5.45095 | − | 1.12270i | −0.0136959 | − | 0.00282086i | ||||
\(399\) | 163.504 | − | 67.7255i | 0.409784 | − | 0.169738i | ||||
\(400\) | −109.059 | + | 154.015i | −0.272647 | + | 0.385037i | ||||
\(401\) | 120.690 | − | 291.371i | 0.300972 | − | 0.726612i | −0.698962 | − | 0.715159i | \(-0.746354\pi\) |
0.999934 | − | 0.0114530i | \(-0.00364568\pi\) | |||||||
\(402\) | 346.043 | + | 234.624i | 0.860802 | + | 0.583643i | ||||
\(403\) | −127.908 | + | 239.299i | −0.317390 | + | 0.593795i | ||||
\(404\) | −437.422 | − | 139.189i | −1.08273 | − | 0.344528i | ||||
\(405\) | 168.564 | + | 138.337i | 0.416207 | + | 0.341573i | ||||
\(406\) | 121.982 | + | 37.9069i | 0.300447 | + | 0.0933669i | ||||
\(407\) | 1129.83 | − | 754.929i | 2.77600 | − | 1.85486i | ||||
\(408\) | −420.676 | + | 331.165i | −1.03107 | + | 0.811680i | ||||
\(409\) | 206.900 | + | 138.246i | 0.505868 | + | 0.338010i | 0.782174 | − | 0.623060i | \(-0.214111\pi\) |
−0.276307 | + | 0.961069i | \(0.589111\pi\) | |||||||
\(410\) | −135.396 | − | 14.2621i | −0.330234 | − | 0.0347856i | ||||
\(411\) | −48.8319 | − | 91.3580i | −0.118812 | − | 0.222282i | ||||
\(412\) | −35.0351 | + | 6.47676i | −0.0850367 | + | 0.0157203i | ||||
\(413\) | −0.962653 | + | 9.77398i | −0.00233088 | + | 0.0236658i | ||||
\(414\) | −0.0347478 | + | 5.12932i | −8.39319e−5 | + | 0.0123897i | ||||
\(415\) | 64.4812 | + | 64.4812i | 0.155376 | + | 0.155376i | ||||
\(416\) | −247.412 | − | 32.8610i | −0.594740 | − | 0.0789927i | ||||
\(417\) | 20.6408 | + | 20.6408i | 0.0494984 | + | 0.0494984i | ||||
\(418\) | −481.333 | − | 487.899i | −1.15151 | − | 1.16722i | ||||
\(419\) | 25.8622 | − | 262.583i | 0.0617236 | − | 0.626690i | −0.913706 | − | 0.406377i | \(-0.866792\pi\) |
0.975429 | − | 0.220313i | \(-0.0707079\pi\) | |||||||
\(420\) | −52.3117 | + | 245.553i | −0.124552 | + | 0.584651i | ||||
\(421\) | 318.650 | + | 596.152i | 0.756888 | + | 1.41604i | 0.904271 | + | 0.426959i | \(0.140415\pi\) |
−0.147383 | + | 0.989079i | \(0.547085\pi\) | |||||||
\(422\) | 5.66622 | + | 7.00049i | 0.0134271 | + | 0.0165888i | ||||
\(423\) | −258.630 | − | 172.811i | −0.611419 | − | 0.408537i | ||||
\(424\) | −26.3054 | + | 13.3805i | −0.0620411 | + | 0.0315578i | ||||
\(425\) | 281.938 | − | 188.385i | 0.663383 | − | 0.443258i | ||||
\(426\) | 201.822 | − | 106.125i | 0.473762 | − | 0.249119i | ||||
\(427\) | 49.0749 | + | 40.2748i | 0.114930 | + | 0.0943203i | ||||
\(428\) | 452.427 | − | 38.3788i | 1.05707 | − | 0.0896702i | ||||
\(429\) | 171.486 | − | 320.828i | 0.399734 | − | 0.747850i | ||||
\(430\) | 53.9287 | + | 281.055i | 0.125416 | + | 0.653616i | ||||
\(431\) | −167.049 | + | 403.291i | −0.387584 | + | 0.935711i | 0.602866 | + | 0.797842i | \(0.294025\pi\) |
−0.990450 | + | 0.137869i | \(0.955975\pi\) | |||||||
\(432\) | −419.095 | + | 209.615i | −0.970127 | + | 0.485220i | ||||
\(433\) | 681.588 | − | 282.323i | 1.57411 | − | 0.652016i | 0.586641 | − | 0.809847i | \(-0.300450\pi\) |
0.987466 | + | 0.157831i | \(0.0504501\pi\) | |||||||
\(434\) | −258.309 | + | 170.077i | −0.595182 | + | 0.391882i | ||||
\(435\) | 58.8974 | + | 194.159i | 0.135396 | + | 0.446342i | ||||
\(436\) | −215.571 | − | 746.924i | −0.494428 | − | 1.71313i | ||||
\(437\) | 1.20069 | + | 12.1908i | 0.00274757 | + | 0.0278966i | ||||
\(438\) | −457.820 | + | 41.9619i | −1.04525 | + | 0.0958035i | ||||
\(439\) | 43.2307 | − | 217.335i | 0.0984754 | − | 0.495069i | −0.899797 | − | 0.436309i | \(-0.856285\pi\) |
0.998272 | − | 0.0587599i | \(-0.0187146\pi\) | |||||||
\(440\) | 957.262 | − | 170.266i | 2.17560 | − | 0.386968i | ||||
\(441\) | 20.4287 | + | 102.702i | 0.0463237 | + | 0.232885i | ||||
\(442\) | 394.055 | + | 214.071i | 0.891527 | + | 0.484324i | ||||
\(443\) | −615.267 | − | 186.639i | −1.38886 | − | 0.421308i | −0.494707 | − | 0.869060i | \(-0.664725\pi\) |
−0.894158 | + | 0.447752i | \(0.852225\pi\) | |||||||
\(444\) | −233.742 | − | 586.659i | −0.526445 | − | 1.32130i | ||||
\(445\) | 298.276 | − | 244.789i | 0.670283 | − | 0.550087i | ||||
\(446\) | −343.394 | + | 139.520i | −0.769941 | + | 0.312826i | ||||
\(447\) | 177.282 | 0.396604 | ||||||||
\(448\) | −229.917 | − | 167.528i | −0.513207 | − | 0.373946i | ||||
\(449\) | 808.823i | 1.80139i | 0.434455 | + | 0.900694i | \(0.356941\pi\) | ||||
−0.434455 | + | 0.900694i | \(0.643059\pi\) | |||||||
\(450\) | 78.2596 | − | 31.7968i | 0.173910 | − | 0.0706596i | ||||
\(451\) | 142.642 | + | 173.810i | 0.316280 | + | 0.385388i | ||||
\(452\) | −256.356 | + | 595.932i | −0.567160 | + | 1.31843i | ||||
\(453\) | −36.4856 | + | 120.277i | −0.0805422 | + | 0.265512i | ||||
\(454\) | 669.216 | + | 363.553i | 1.47404 | + | 0.800778i | ||||
\(455\) | 206.254 | − | 41.0265i | 0.453306 | − | 0.0901681i | ||||
\(456\) | −268.380 | + | 171.541i | −0.588553 | + | 0.376187i | ||||
\(457\) | 787.999 | + | 156.743i | 1.72429 | + | 0.342982i | 0.955155 | − | 0.296107i | \(-0.0956885\pi\) |
0.769133 | + | 0.639089i | \(0.220689\pi\) | |||||||
\(458\) | 593.525 | − | 54.4001i | 1.29591 | − | 0.118777i | ||||
\(459\) | 837.902 | − | 82.5262i | 1.82550 | − | 0.179796i | ||||
\(460\) | −15.2136 | − | 8.39882i | −0.0330731 | − | 0.0182583i | ||||
\(461\) | −663.291 | + | 201.207i | −1.43881 | + | 0.436458i | −0.910824 | − | 0.412795i | \(-0.864553\pi\) |
−0.527986 | + | 0.849253i | \(0.677053\pi\) | |||||||
\(462\) | 346.313 | − | 228.021i | 0.749596 | − | 0.493552i | ||||
\(463\) | 200.594 | + | 484.277i | 0.433249 | + | 1.04596i | 0.978233 | + | 0.207509i | \(0.0665357\pi\) |
−0.544984 | + | 0.838446i | \(0.683464\pi\) | |||||||
\(464\) | −228.097 | − | 28.7245i | −0.491587 | − | 0.0619062i | ||||
\(465\) | −453.854 | − | 187.992i | −0.976030 | − | 0.404285i | ||||
\(466\) | −48.8237 | − | 254.450i | −0.104772 | − | 0.546029i | ||||
\(467\) | 256.741 | + | 137.231i | 0.549768 | + | 0.293857i | 0.722798 | − | 0.691060i | \(-0.242856\pi\) |
−0.173030 | + | 0.984917i | \(0.555356\pi\) | |||||||
\(468\) | 85.3906 | + | 72.0363i | 0.182459 | + | 0.153924i | ||||
\(469\) | 253.219 | − | 308.548i | 0.539912 | − | 0.657885i | ||||
\(470\) | 932.724 | − | 490.457i | 1.98452 | − | 1.04352i | ||||
\(471\) | 125.396 | + | 187.668i | 0.266233 | + | 0.398446i | ||||
\(472\) | −1.37474 | − | 17.6227i | −0.00291259 | − | 0.0373363i | ||||
\(473\) | 262.584 | − | 392.985i | 0.555146 | − | 0.830835i | ||||
\(474\) | −194.927 | − | 240.828i | −0.411239 | − | 0.508076i | ||||
\(475\) | 177.911 | − | 95.0957i | 0.374550 | − | 0.200201i | ||||
\(476\) | 278.191 | + | 428.808i | 0.584436 | + | 0.900856i | ||||
\(477\) | 13.1468 | + | 1.29485i | 0.0275614 | + | 0.00271456i | ||||
\(478\) | −402.788 | − | 408.282i | −0.842652 | − | 0.854147i | ||||
\(479\) | −104.003 | + | 104.003i | −0.217125 | + | 0.217125i | −0.807286 | − | 0.590161i | \(-0.799064\pi\) |
0.590161 | + | 0.807286i | \(0.299064\pi\) | |||||||
\(480\) | 15.3022 | − | 451.604i | 0.0318797 | − | 0.940841i | ||||
\(481\) | −374.033 | + | 374.033i | −0.777615 | + | 0.777615i | ||||
\(482\) | 0.780215 | − | 115.172i | 0.00161870 | − | 0.238946i | ||||
\(483\) | −7.37532 | − | 0.726405i | −0.0152698 | − | 0.00150394i | ||||
\(484\) | −924.183 | − | 635.797i | −1.90947 | − | 1.31363i | ||||
\(485\) | −394.028 | + | 210.612i | −0.812429 | + | 0.434252i | ||||
\(486\) | 357.816 | + | 37.6909i | 0.736247 | + | 0.0775534i | ||||
\(487\) | −206.554 | + | 309.129i | −0.424135 | + | 0.634763i | −0.980580 | − | 0.196122i | \(-0.937165\pi\) |
0.556445 | + | 0.830885i | \(0.312165\pi\) | |||||||
\(488\) | −99.6536 | − | 55.8988i | −0.204208 | − | 0.114547i | ||||
\(489\) | 135.233 | + | 202.391i | 0.276551 | + | 0.413887i | ||||
\(490\) | −338.780 | − | 105.279i | −0.691388 | − | 0.214855i | ||||
\(491\) | 427.506 | − | 520.918i | 0.870685 | − | 1.06093i | −0.126930 | − | 0.991912i | \(-0.540512\pi\) |
0.997615 | − | 0.0690209i | \(-0.0219875\pi\) | |||||||
\(492\) | 92.8167 | − | 48.0063i | 0.188652 | − | 0.0975737i | ||||
\(493\) | 364.300 | + | 194.723i | 0.738946 | + | 0.394975i | ||||
\(494\) | 220.824 | + | 149.723i | 0.447012 | + | 0.303084i | ||||
\(495\) | −402.080 | − | 166.547i | −0.812283 | − | 0.336459i | ||||
\(496\) | 404.114 | − | 382.786i | 0.814746 | − | 0.771746i | ||||
\(497\) | −83.3094 | − | 201.127i | −0.167624 | − | 0.404681i | ||||
\(498\) | −68.5530 | − | 14.1195i | −0.137657 | − | 0.0283523i | ||||
\(499\) | −94.0696 | + | 28.5357i | −0.188516 | + | 0.0571858i | −0.383131 | − | 0.923694i | \(-0.625154\pi\) |
0.194615 | + | 0.980880i | \(0.437654\pi\) | |||||||
\(500\) | 35.7221 | − | 318.406i | 0.0714442 | − | 0.636812i | ||||
\(501\) | −63.0996 | + | 6.21476i | −0.125947 | + | 0.0124047i | ||||
\(502\) | −389.766 | + | 468.424i | −0.776427 | + | 0.933116i | ||||
\(503\) | 326.783 | + | 65.0012i | 0.649669 | + | 0.129227i | 0.508914 | − | 0.860817i | \(-0.330047\pi\) |
0.140755 | + | 0.990045i | \(0.455047\pi\) | |||||||
\(504\) | 46.3286 | + | 118.609i | 0.0919218 | + | 0.235335i | ||||
\(505\) | −682.734 | + | 135.804i | −1.35195 | + | 0.268919i | ||||
\(506\) | 8.14503 | + | 27.5203i | 0.0160969 | + | 0.0543880i | ||||
\(507\) | 73.0944 | − | 240.960i | 0.144170 | − | 0.475266i | ||||
\(508\) | 312.522 | − | 304.167i | 0.615202 | − | 0.598753i | ||||
\(509\) | 364.442 | + | 444.074i | 0.715997 | + | 0.872445i | 0.996164 | − | 0.0875066i | \(-0.0278899\pi\) |
−0.280167 | + | 0.959951i | \(0.590390\pi\) | |||||||
\(510\) | −315.774 | + | 747.973i | −0.619164 | + | 1.46661i | ||||
\(511\) | 438.920i | 0.858944i | ||||||||
\(512\) | 460.209 | + | 224.392i | 0.898846 | + | 0.438265i | ||||
\(513\) | 500.907 | 0.976427 | ||||||||
\(514\) | −635.731 | − | 268.388i | −1.23683 | − | 0.522156i | ||||
\(515\) | −41.7657 | + | 34.2762i | −0.0810984 | + | 0.0665557i | ||||
\(516\) | −153.201 | − | 157.410i | −0.296902 | − | 0.305058i | ||||
\(517\) | −1665.47 | − | 505.213i | −3.22140 | − | 0.977202i | ||||
\(518\) | −578.123 | + | 171.104i | −1.11607 | + | 0.330316i | ||||
\(519\) | −76.4747 | − | 384.464i | −0.147350 | − | 0.740779i | ||||
\(520\) | −352.548 | + | 137.705i | −0.677977 | + | 0.264817i | ||||
\(521\) | −135.408 | + | 680.743i | −0.259901 | + | 1.30661i | 0.601578 | + | 0.798814i | \(0.294539\pi\) |
−0.861478 | + | 0.507794i | \(0.830461\pi\) | |||||||
\(522\) | 79.1029 | + | 65.8199i | 0.151538 | + | 0.126092i | ||||
\(523\) | 5.09678 | + | 51.7485i | 0.00974528 | + | 0.0989455i | 0.998827 | − | 0.0484232i | \(-0.0154196\pi\) |
−0.989082 | + | 0.147369i | \(0.952920\pi\) | |||||||
\(524\) | 308.652 | + | 34.6278i | 0.589030 | + | 0.0660835i | ||||
\(525\) | 35.4280 | + | 116.791i | 0.0674820 | + | 0.222458i | ||||
\(526\) | −159.473 | + | 774.276i | −0.303181 | + | 1.47201i | ||||
\(527\) | −924.004 | + | 382.735i | −1.75333 | + | 0.726252i | ||||
\(528\) | −541.793 | + | 513.199i | −1.02612 | + | 0.971968i | ||||
\(529\) | −202.243 | + | 488.258i | −0.382312 | + | 0.922984i | ||||
\(530\) | −25.1163 | + | 37.0435i | −0.0473893 | + | 0.0698934i | ||||
\(531\) | −3.72975 | + | 6.97788i | −0.00702402 | + | 0.0131410i | ||||
\(532\) | 139.703 | + | 270.105i | 0.262599 | + | 0.507717i | ||||
\(533\) | −67.6600 | − | 55.5271i | −0.126942 | − | 0.104178i | ||||
\(534\) | −87.8898 | + | 282.822i | −0.164588 | + | 0.529630i | ||||
\(535\) | 572.512 | − | 382.541i | 1.07012 | − | 0.715029i | ||||
\(536\) | −351.451 | + | 626.551i | −0.655693 | + | 1.16894i | ||||
\(537\) | 78.3956 | + | 52.3822i | 0.145988 | + | 0.0975461i | ||||
\(538\) | 94.8054 | − | 900.028i | 0.176218 | − | 1.67292i | ||||
\(539\) | 276.191 | + | 516.717i | 0.512414 | + | 0.958659i | ||||
\(540\) | −402.760 | + | 585.444i | −0.745852 | + | 1.08416i | ||||
\(541\) | 71.4904 | − | 725.854i | 0.132145 | − | 1.34169i | −0.669019 | − | 0.743245i | \(-0.733286\pi\) |
0.801164 | − | 0.598445i | \(-0.204214\pi\) | |||||||
\(542\) | −376.147 | − | 2.54816i | −0.693999 | − | 0.00470140i | ||||
\(543\) | −343.305 | − | 343.305i | −0.632238 | − | 0.632238i | ||||
\(544\) | −628.101 | − | 672.159i | −1.15460 | − | 1.23559i | ||||
\(545\) | −833.621 | − | 833.621i | −1.52958 | − | 1.52958i | ||||
\(546\) | −114.904 | + | 113.358i | −0.210447 | + | 0.207615i | ||||
\(547\) | 68.5509 | − | 696.009i | 0.125322 | − | 1.27241i | −0.702607 | − | 0.711578i | \(-0.747981\pi\) |
0.827929 | − | 0.560834i | \(-0.189519\pi\) | |||||||
\(548\) | 149.326 | − | 96.8758i | 0.272492 | − | 0.176781i | ||||
\(549\) | 24.1094 | + | 45.1056i | 0.0439152 | + | 0.0821595i | ||||
\(550\) | 367.380 | − | 297.359i | 0.667965 | − | 0.540653i | ||||
\(551\) | 204.335 | + | 136.533i | 0.370845 | + | 0.247791i | ||||
\(552\) | 13.2979 | − | 1.03736i | 0.0240903 | − | 0.00187928i | ||||
\(553\) | −245.949 | + | 164.338i | −0.444754 | + | 0.297175i | ||||
\(554\) | 189.704 | + | 360.769i | 0.342426 | + | 0.651208i | ||||
\(555\) | −740.285 | − | 607.536i | −1.33385 | − | 1.09466i | ||||
\(556\) | −32.3422 | + | 38.3379i | −0.0581694 | + | 0.0689531i | ||||
\(557\) | 51.2190 | − | 95.8240i | 0.0919551 | − | 0.172036i | −0.831739 | − | 0.555167i | \(-0.812654\pi\) |
0.923694 | + | 0.383131i | \(0.125154\pi\) | |||||||
\(558\) | −244.690 | + | 46.9510i | −0.438512 | + | 0.0841415i | ||||
\(559\) | −70.4087 | + | 169.982i | −0.125955 | + | 0.304082i | ||||
\(560\) | −428.020 | − | 53.9011i | −0.764322 | − | 0.0962520i | ||||
\(561\) | 1238.81 | − | 513.131i | 2.20821 | − | 0.914672i | ||||
\(562\) | 215.218 | + | 326.868i | 0.382950 | + | 0.581616i | ||||
\(563\) | −279.392 | − | 921.033i | −0.496256 | − | 1.63594i | −0.744779 | − | 0.667311i | \(-0.767445\pi\) |
0.248523 | − | 0.968626i | \(-0.420055\pi\) | |||||||
\(564\) | −390.914 | + | 708.103i | −0.693111 | + | 1.25550i | ||||
\(565\) | 96.4274 | + | 979.044i | 0.170668 | + | 1.73282i | ||||
\(566\) | −92.2788 | − | 1006.80i | −0.163037 | − | 1.77879i | ||||
\(567\) | −31.1737 | + | 156.721i | −0.0549802 | + | 0.276404i | ||||
\(568\) | 211.013 | + | 330.135i | 0.371502 | + | 0.581224i | ||||
\(569\) | 46.3775 | + | 233.155i | 0.0815070 | + | 0.409763i | 0.999901 | + | 0.0140954i | \(0.00448684\pi\) |
−0.918394 | + | 0.395668i | \(0.870513\pi\) | |||||||
\(570\) | −230.576 | + | 424.437i | −0.404520 | + | 0.744626i | ||||
\(571\) | −616.518 | − | 187.019i | −1.07972 | − | 0.327528i | −0.300178 | − | 0.953883i | \(-0.597046\pi\) |
−0.779538 | + | 0.626355i | \(0.784546\pi\) | |||||||
\(572\) | 574.209 | + | 247.011i | 1.00386 | + | 0.431838i | ||||
\(573\) | 26.4482 | − | 21.7055i | 0.0461575 | − | 0.0378805i | ||||
\(574\) | −37.5530 | − | 92.4269i | −0.0654233 | − | 0.161023i | ||||
\(575\) | −8.44770 | −0.0146917 | ||||||||
\(576\) | −119.476 | − | 195.571i | −0.207424 | − | 0.339533i | ||||
\(577\) | − | 174.480i | − | 0.302391i | −0.988504 | − | 0.151195i | \(-0.951688\pi\) | ||
0.988504 | − | 0.151195i | \(-0.0483123\pi\) | |||||||
\(578\) | 404.627 | + | 995.885i | 0.700047 | + | 1.72298i | ||||
\(579\) | 455.257 | + | 554.733i | 0.786282 | + | 0.958087i | ||||
\(580\) | −323.873 | + | 129.040i | −0.558402 | + | 0.222483i | ||||
\(581\) | −19.3975 | + | 63.9451i | −0.0333864 | + | 0.110060i | ||||
\(582\) | 163.698 | − | 301.329i | 0.281268 | − | 0.517748i | ||||
\(583\) | 72.4949 | − | 14.4201i | 0.124348 | − | 0.0247343i | ||||
\(584\) | −138.338 | − | 777.759i | −0.236880 | − | 1.33178i | ||||
\(585\) | 166.161 | + | 33.0514i | 0.284035 | + | 0.0564982i | ||||
\(586\) | −7.05025 | − | 76.9208i | −0.0120311 | − | 0.131264i | ||||
\(587\) | −412.127 | + | 40.5910i | −0.702091 | + | 0.0691499i | −0.442762 | − | 0.896639i | \(-0.646001\pi\) |
−0.259329 | + | 0.965789i | \(0.583501\pi\) | |||||||
\(588\) | 261.615 | − | 75.5049i | 0.444923 | − | 0.128410i | ||||
\(589\) | −569.391 | + | 172.723i | −0.966709 | + | 0.293248i | ||||
\(590\) | −14.7410 | − | 22.3883i | −0.0249848 | − | 0.0379463i | ||||
\(591\) | −129.011 | − | 311.460i | −0.218292 | − | 0.527004i | ||||
\(592\) | 970.495 | − | 485.405i | 1.63935 | − | 0.819940i | ||||
\(593\) | −171.401 | − | 70.9967i | −0.289041 | − | 0.119725i | 0.233452 | − | 0.972368i | \(-0.424998\pi\) |
−0.522493 | + | 0.852644i | \(0.674998\pi\) | |||||||
\(594\) | 1152.56 | − | 221.153i | 1.94034 | − | 0.372312i | ||||
\(595\) | 683.605 | + | 365.394i | 1.14892 | + | 0.614108i | ||||
\(596\) | 25.7483 | + | 303.532i | 0.0432018 | + | 0.509282i | ||||
\(597\) | 4.10947 | − | 5.00740i | 0.00688353 | − | 0.00838761i | ||||
\(598\) | −5.19974 | − | 9.88858i | −0.00869521 | − | 0.0165361i | ||||
\(599\) | 297.916 | + | 445.862i | 0.497355 | + | 0.744344i | 0.992203 | − | 0.124635i | \(-0.0397761\pi\) |
−0.494848 | + | 0.868980i | \(0.664776\pi\) | |||||||
\(600\) | −99.5876 | − | 195.785i | −0.165979 | − | 0.326308i | ||||
\(601\) | 250.781 | − | 375.321i | 0.417273 | − | 0.624494i | −0.561976 | − | 0.827154i | \(-0.689959\pi\) |
0.979249 | + | 0.202660i | \(0.0649586\pi\) | |||||||
\(602\) | −163.004 | + | 131.937i | −0.270772 | + | 0.219164i | ||||
\(603\) | 283.591 | − | 151.583i | 0.470301 | − | 0.251381i | ||||
\(604\) | −211.230 | − | 44.9997i | −0.349719 | − | 0.0745027i | ||||
\(605\) | −1692.93 | − | 166.739i | −2.79823 | − | 0.275601i | ||||
\(606\) | 380.351 | − | 375.232i | 0.627642 | − | 0.619195i | ||||
\(607\) | 454.085 | − | 454.085i | 0.748080 | − | 0.748080i | −0.226038 | − | 0.974118i | \(-0.572577\pi\) |
0.974118 | + | 0.226038i | \(0.0725774\pi\) | |||||||
\(608\) | −332.682 | − | 434.590i | −0.547175 | − | 0.714787i | ||||
\(609\) | −105.131 | + | 105.131i | −0.172629 | + | 0.172629i | ||||
\(610\) | −173.269 | − | 1.17378i | −0.284047 | − | 0.00192424i | ||||
\(611\) | 674.235 | + | 66.4064i | 1.10349 | + | 0.108685i | ||||
\(612\) | 74.8557 | + | 404.921i | 0.122313 | + | 0.661636i | ||||
\(613\) | 336.334 | − | 179.774i | 0.548668 | − | 0.293269i | −0.173676 | − | 0.984803i | \(-0.555565\pi\) |
0.722344 | + | 0.691534i | \(0.243065\pi\) | |||||||
\(614\) | 88.4580 | − | 839.770i | 0.144068 | − | 1.36770i | ||||
\(615\) | 88.0389 | − | 131.760i | 0.143153 | − | 0.214243i | ||||
\(616\) | 440.702 | + | 559.820i | 0.715426 | + | 0.908799i | ||||
\(617\) | 475.630 | + | 711.830i | 0.770875 | + | 1.15370i | 0.984260 | + | 0.176728i | \(0.0565512\pi\) |
−0.213385 | + | 0.976968i | \(0.568449\pi\) | |||||||
\(618\) | 12.3067 | − | 39.6018i | 0.0199137 | − | 0.0640807i | ||||
\(619\) | −740.129 | + | 901.850i | −1.19569 | + | 1.45695i | −0.339247 | + | 0.940697i | \(0.610172\pi\) |
−0.856438 | + | 0.516249i | \(0.827328\pi\) | |||||||
\(620\) | 255.952 | − | 804.366i | 0.412827 | − | 1.29736i | ||||
\(621\) | −18.4991 | − | 9.88799i | −0.0297893 | − | 0.0159227i | ||||
\(622\) | 469.911 | − | 693.061i | 0.755484 | − | 1.11425i | ||||
\(623\) | 261.229 | + | 108.205i | 0.419309 | + | 0.173683i | ||||
\(624\) | 167.880 | − | 237.083i | 0.269039 | − | 0.379941i | ||||
\(625\) | −298.781 | − | 721.321i | −0.478050 | − | 1.15411i | ||||
\(626\) | −73.2912 | + | 355.844i | −0.117079 | + | 0.568441i | ||||
\(627\) | 763.380 | − | 231.569i | 1.21751 | − | 0.369328i | ||||
\(628\) | −303.102 | + | 241.952i | −0.482647 | + | 0.385274i | ||||
\(629\) | −1940.33 | + | 191.105i | −3.08478 | + | 0.303824i | ||||
\(630\) | 148.436 | + | 123.510i | 0.235612 | + | 0.196048i | ||||
\(631\) | −428.374 | − | 85.2090i | −0.678882 | − | 0.135038i | −0.156407 | − | 0.987693i | \(-0.549991\pi\) |
−0.522475 | + | 0.852655i | \(0.674991\pi\) | |||||||
\(632\) | 384.021 | − | 368.721i | 0.607628 | − | 0.583419i | ||||
\(633\) | −10.2814 | + | 2.04510i | −0.0162423 | + | 0.00323080i | ||||
\(634\) | 494.212 | − | 146.269i | 0.779514 | − | 0.230708i | ||||
\(635\) | 191.977 | − | 632.863i | 0.302326 | − | 0.996634i | ||||
\(636\) | 0.465397 | − | 34.3484i | 0.000731757 | − | 0.0540069i | ||||
\(637\) | −144.690 | − | 176.305i | −0.227143 | − | 0.276775i | ||||
\(638\) | 530.446 | + | 223.940i | 0.831420 | + | 0.351003i | ||||
\(639\) | − | 175.380i | − | 0.274460i | ||||||
\(640\) | 775.432 | − | 39.3909i | 1.21161 | − | 0.0615483i | ||||
\(641\) | −21.9661 | −0.0342685 | −0.0171342 | − | 0.999853i | \(-0.505454\pi\) | ||||
−0.0171342 | + | 0.999853i | \(0.505454\pi\) | |||||||
\(642\) | −205.548 | + | 486.882i | −0.320168 | + | 0.758383i | ||||
\(643\) | 244.248 | − | 200.449i | 0.379856 | − | 0.311740i | −0.425018 | − | 0.905185i | \(-0.639732\pi\) |
0.804875 | + | 0.593445i | \(0.202232\pi\) | |||||||
\(644\) | 0.172525 | − | 12.7331i | 0.000267896 | − | 0.0197719i | ||||
\(645\) | −318.758 | − | 96.6941i | −0.494198 | − | 0.149913i | ||||
\(646\) | 279.082 | + | 942.959i | 0.432016 | + | 1.45969i | ||||
\(647\) | −237.231 | − | 1192.64i | −0.366663 | − | 1.84334i | −0.518689 | − | 0.854963i | \(-0.673580\pi\) |
0.152025 | − | 0.988377i | \(-0.451420\pi\) | |||||||
\(648\) | 5.84425 | − | 287.532i | 0.00901890 | − | 0.443722i | ||||
\(649\) | −8.63668 | + | 43.4195i | −0.0133077 | + | 0.0669022i | ||||
\(650\) | −117.682 | + | 141.431i | −0.181049 | + | 0.217586i | ||||
\(651\) | −35.2839 | − | 358.244i | −0.0541996 | − | 0.550297i | ||||
\(652\) | −326.881 | + | 260.934i | −0.501351 | + | 0.400205i | ||||
\(653\) | 323.817 | + | 1067.48i | 0.495891 | + | 1.63473i | 0.745586 | + | 0.666409i | \(0.232170\pi\) |
−0.249695 | + | 0.968325i | \(0.580330\pi\) | |||||||
\(654\) | 886.261 | + | 182.538i | 1.35514 | + | 0.279110i | ||||
\(655\) | 435.144 | − | 180.243i | 0.664343 | − | 0.275180i | ||||
\(656\) | 95.6741 | + | 151.943i | 0.145845 | + | 0.231620i | ||||
\(657\) | −135.317 | + | 326.683i | −0.205961 | + | 0.497235i | ||||
\(658\) | 639.151 | + | 433.359i | 0.971354 | + | 0.658600i | ||||
\(659\) | −63.1282 | + | 118.105i | −0.0957940 | + | 0.179218i | −0.925254 | − | 0.379348i | \(-0.876148\pi\) |
0.829460 | + | 0.558566i | \(0.188648\pi\) | |||||||
\(660\) | −343.154 | + | 1078.41i | −0.519930 | + | 1.63395i | ||||
\(661\) | 590.667 | + | 484.748i | 0.893597 | + | 0.733356i | 0.964488 | − | 0.264128i | \(-0.0850842\pi\) |
−0.0708910 | + | 0.997484i | \(0.522584\pi\) | |||||||
\(662\) | 229.953 | + | 71.4602i | 0.347362 | + | 0.107946i | ||||
\(663\) | −434.002 | + | 289.991i | −0.654604 | + | 0.437392i | ||||
\(664\) | 14.2180 | − | 119.423i | 0.0214126 | − | 0.179854i | ||||
\(665\) | 383.433 | + | 256.202i | 0.576591 | + | 0.385266i | ||||
\(666\) | −483.041 | − | 50.8816i | −0.725286 | − | 0.0763988i | ||||
\(667\) | −4.85119 | − | 9.07594i | −0.00727315 | − | 0.0136071i | ||||
\(668\) | −19.8051 | − | 107.133i | −0.0296483 | − | 0.160378i | ||||
\(669\) | 42.2868 | − | 429.345i | 0.0632090 | − | 0.641772i | ||||
\(670\) | −7.37992 | + | 1089.39i | −0.0110148 | + | 1.62596i | ||||
\(671\) | 202.350 | + | 202.350i | 0.301565 | + | 0.301565i | ||||
\(672\) | 297.137 | − | 146.108i | 0.442168 | − | 0.217423i | ||||
\(673\) | 82.7328 | + | 82.7328i | 0.122931 | + | 0.122931i | 0.765896 | − | 0.642965i | \(-0.222296\pi\) |
−0.642965 | + | 0.765896i | \(0.722296\pi\) | |||||||
\(674\) | 528.922 | + | 536.137i | 0.784751 | + | 0.795456i | ||||
\(675\) | −33.8586 | + | 343.773i | −0.0501609 | + | 0.509293i | ||||
\(676\) | 423.174 | + | 90.1512i | 0.625997 | + | 0.133360i | ||||
\(677\) | 4.21204 | + | 7.88017i | 0.00622162 | + | 0.0116398i | 0.885013 | − | 0.465567i | \(-0.154149\pi\) |
−0.878791 | + | 0.477206i | \(0.841649\pi\) | |||||||
\(678\) | −475.059 | − | 586.924i | −0.700676 | − | 0.865669i | ||||
\(679\) | −272.219 | − | 181.891i | −0.400911 | − | 0.267880i | ||||
\(680\) | −1326.50 | − | 432.015i | −1.95073 | − | 0.635316i | ||||
\(681\) | −737.058 | + | 492.486i | −1.08232 | + | 0.723181i | ||||
\(682\) | −1233.88 | + | 648.817i | −1.80921 | + | 0.951344i | ||||
\(683\) | −260.169 | − | 213.515i | −0.380921 | − | 0.312614i | 0.424375 | − | 0.905487i | \(-0.360494\pi\) |
−0.805296 | + | 0.592872i | \(0.797994\pi\) | |||||||
\(684\) | 20.7072 | + | 244.106i | 0.0302737 | + | 0.356880i | ||||
\(685\) | 127.243 | − | 238.055i | 0.185756 | − | 0.347525i | ||||
\(686\) | −131.074 | − | 683.106i | −0.191070 | − | 0.995782i | ||||
\(687\) | −265.478 | + | 640.920i | −0.386431 | + | 0.932926i | ||||
\(688\) | 247.257 | − | 285.165i | 0.359386 | − | 0.414483i | ||||
\(689\) | −26.5831 | + | 11.0111i | −0.0385822 | + | 0.0159813i | ||||
\(690\) | 16.8939 | − | 11.1234i | 0.0244840 | − | 0.0161208i | ||||
\(691\) | −199.111 | − | 656.381i | −0.288149 | − | 0.949900i | −0.974832 | − | 0.222943i | \(-0.928434\pi\) |
0.686683 | − | 0.726957i | \(-0.259066\pi\) | |||||||
\(692\) | 647.150 | − | 186.775i | 0.935188 | − | 0.269906i | ||||
\(693\) | −31.2589 | − | 317.377i | −0.0451066 | − | 0.457975i | ||||
\(694\) | 1054.59 | − | 96.6595i | 1.51958 | − | 0.139279i | ||||
\(695\) | −14.8391 | + | 74.6014i | −0.0213513 | + | 0.107340i | ||||
\(696\) | 153.155 | − | 219.425i | 0.220051 | − | 0.315266i | ||||
\(697\) | −62.9403 | − | 316.422i | −0.0903018 | − | 0.453978i | ||||
\(698\) | 35.1864 | + | 19.1151i | 0.0504103 | + | 0.0273855i | ||||
\(699\) | 288.583 | + | 87.5408i | 0.412852 | + | 0.125237i | ||||
\(700\) | −194.816 | + | 77.6204i | −0.278309 | + | 0.110886i | ||||
\(701\) | 359.329 | − | 294.893i | 0.512594 | − | 0.420675i | −0.342212 | − | 0.939623i | \(-0.611176\pi\) |
0.854806 | + | 0.518947i | \(0.173676\pi\) | |||||||
\(702\) | −423.248 | + | 171.965i | −0.602918 | + | 0.244965i | ||||
\(703\) | −1159.95 | −1.65000 | ||||||||
\(704\) | −957.360 | − | 853.091i | −1.35989 | − | 1.21178i | ||||
\(705\) | 1226.58i | 1.73983i | ||||||||
\(706\) | 532.459 | − | 216.338i | 0.754191 | − | 0.306427i | ||||
\(707\) | −323.601 | − | 394.309i | −0.457710 | − | 0.557722i | ||||
\(708\) | 18.8997 | + | 8.13022i | 0.0266945 | + | 0.0114834i | ||||
\(709\) | 5.96408 | − | 19.6609i | 0.00841196 | − | 0.0277305i | −0.952634 | − | 0.304119i | \(-0.901638\pi\) |
0.961046 | + | 0.276389i | \(0.0891378\pi\) | |||||||
\(710\) | 522.101 | + | 283.633i | 0.735354 | + | 0.399483i | ||||
\(711\) | −233.721 | + | 46.4900i | −0.328722 | + | 0.0653868i | ||||
\(712\) | −496.997 | − | 109.403i | −0.698030 | − | 0.153656i | ||||
\(713\) | 24.4379 | + | 4.86101i | 0.0342748 | + | 0.00681768i | ||||
\(714\) | −592.459 | + | 54.3024i | −0.829775 | + | 0.0760538i | ||||
\(715\) | 943.356 | − | 92.9125i | 1.31938 | − | 0.129948i | ||||
\(716\) | −78.2997 | + | 141.832i | −0.109357 | + | 0.198090i | ||||
\(717\) | 638.809 | − | 193.781i | 0.890948 | − | 0.270266i | ||||
\(718\) | 197.541 | − | 130.066i | 0.275127 | − | 0.181150i | ||||
\(719\) | 385.324 | + | 930.255i | 0.535917 | + | 1.29382i | 0.927551 | + | 0.373697i | \(0.121910\pi\) |
−0.391634 | + | 0.920121i | \(0.628090\pi\) | |||||||
\(720\) | −301.953 | − | 172.074i | −0.419379 | − | 0.238992i | ||||
\(721\) | −36.5783 | − | 15.1512i | −0.0507327 | − | 0.0210142i | ||||
\(722\) | −25.8069 | − | 134.495i | −0.0357436 | − | 0.186281i | ||||
\(723\) | 118.228 | + | 63.1940i | 0.163524 | + | 0.0874053i | ||||
\(724\) | 537.926 | − | 637.649i | 0.742992 | − | 0.880731i | ||||
\(725\) | −107.514 | + | 131.007i | −0.148296 | + | 0.180699i | ||||
\(726\) | 1155.64 | − | 607.675i | 1.59180 | − | 0.837018i | ||||
\(727\) | −478.159 | − | 715.616i | −0.657715 | − | 0.984341i | −0.999014 | − | 0.0443859i | \(-0.985867\pi\) |
0.341299 | − | 0.939955i | \(-0.389133\pi\) | |||||||
\(728\) | −210.773 | − | 180.268i | −0.289524 | − | 0.247621i | ||||
\(729\) | −412.413 | + | 617.220i | −0.565724 | + | 0.846666i | ||||
\(730\) | −753.686 | − | 931.162i | −1.03245 | − | 1.27556i | ||||
\(731\) | −598.085 | + | 319.683i | −0.818174 | + | 0.437323i | ||||
\(732\) | 111.571 | − | 72.3823i | 0.152419 | − | 0.0988829i | ||||
\(733\) | 840.100 | + | 82.7426i | 1.14611 | + | 0.112882i | 0.653192 | − | 0.757192i | \(-0.273429\pi\) |
0.492920 | + | 0.870075i | \(0.335929\pi\) | |||||||
\(734\) | 47.8405 | + | 48.4931i | 0.0651778 | + | 0.0660669i | ||||
\(735\) | 291.981 | − | 291.981i | 0.397253 | − | 0.397253i | ||||
\(736\) | 3.70748 | + | 22.6172i | 0.00503734 | + | 0.0307299i | ||||
\(737\) | 1272.23 | − | 1272.23i | 1.72623 | − | 1.72623i | ||||
\(738\) | 0.544452 | − | 80.3696i | 0.000737741 | − | 0.108902i | ||||
\(739\) | −40.4474 | − | 3.98372i | −0.0547326 | − | 0.00539069i | 0.0706138 | − | 0.997504i | \(-0.477504\pi\) |
−0.125346 | + | 0.992113i | \(0.540004\pi\) | |||||||
\(740\) | 932.669 | − | 1355.71i | 1.26036 | − | 1.83204i | ||||
\(741\) | −273.869 | + | 146.386i | −0.369594 | + | 0.197552i | ||||
\(742\) | −32.6155 | − | 3.43559i | −0.0439562 | − | 0.00463017i | ||||
\(743\) | −298.563 | + | 446.831i | −0.401835 | + | 0.601388i | −0.976111 | − | 0.217274i | \(-0.930284\pi\) |
0.574276 | + | 0.818662i | \(0.305284\pi\) | |||||||
\(744\) | 175.433 | + | 623.680i | 0.235797 | + | 0.838280i | ||||
\(745\) | 256.646 | + | 384.098i | 0.344491 | + | 0.515567i | ||||
\(746\) | −8.67297 | − | 2.69521i | −0.0116260 | − | 0.00361288i | ||||
\(747\) | −34.1512 | + | 41.6134i | −0.0457179 | + | 0.0557074i | ||||
\(748\) | 1058.48 | + | 2046.49i | 1.41507 | + | 2.73595i | ||||
\(749\) | 444.982 | + | 237.848i | 0.594101 | + | 0.317554i | ||||
\(750\) | 308.671 | + | 209.286i | 0.411562 | + | 0.279048i | ||||
\(751\) | 1047.92 | + | 434.064i | 1.39537 | + | 0.577982i | 0.948546 | − | 0.316640i | \(-0.102555\pi\) |
0.446825 | + | 0.894621i | \(0.352555\pi\) | |||||||
\(752\) | −1269.15 | − | 566.457i | −1.68770 | − | 0.753267i | ||||
\(753\) | −271.430 | − | 655.291i | −0.360465 | − | 0.870240i | ||||
\(754\) | −219.529 | − | 45.2151i | −0.291152 | − | 0.0599670i | ||||
\(755\) | −313.410 | + | 95.0719i | −0.415113 | + | 0.125923i | ||||
\(756\) | −517.472 | − | 58.0554i | −0.684486 | − | 0.0767928i | ||||
\(757\) | −212.180 | + | 20.8979i | −0.280291 | + | 0.0276062i | −0.237186 | − | 0.971464i | \(-0.576225\pi\) |
−0.0431049 | + | 0.999071i | \(0.513725\pi\) | |||||||
\(758\) | −387.710 | + | 465.954i | −0.511491 | + | 0.614715i | ||||
\(759\) | −32.7638 | − | 6.51712i | −0.0431671 | − | 0.00858646i | ||||
\(760\) | −760.185 | − | 333.135i | −1.00024 | − | 0.438335i | ||||
\(761\) | 178.447 | − | 35.4953i | 0.234490 | − | 0.0466429i | −0.0764464 | − | 0.997074i | \(-0.524357\pi\) |
0.310936 | + | 0.950431i | \(0.399357\pi\) | |||||||
\(762\) | 144.056 | + | 486.733i | 0.189049 | + | 0.638757i | ||||
\(763\) | 250.773 | − | 826.689i | 0.328668 | − | 1.08347i | ||||
\(764\) | 41.0042 | + | 42.1306i | 0.0536704 | + | 0.0551448i | ||||
\(765\) | 396.150 | + | 482.710i | 0.517843 | + | 0.630994i | ||||
\(766\) | 50.4063 | − | 119.397i | 0.0658045 | − | 0.155871i | ||||
\(767\) | − | 17.2333i | − | 0.0224684i | ||||||
\(768\) | −480.471 | + | 352.553i | −0.625613 | + | 0.459053i | ||||
\(769\) | −86.0840 | −0.111943 | −0.0559714 | − | 0.998432i | \(-0.517826\pi\) | ||||
−0.0559714 | + | 0.998432i | \(0.517826\pi\) | |||||||
\(770\) | 995.375 | + | 420.220i | 1.29269 | + | 0.545740i | ||||
\(771\) | 620.879 | − | 509.542i | 0.805291 | − | 0.660885i | ||||
\(772\) | −883.660 | + | 860.034i | −1.14464 | + | 1.11403i | ||||
\(773\) | −123.983 | − | 37.6098i | −0.160392 | − | 0.0486544i | 0.209068 | − | 0.977901i | \(-0.432957\pi\) |
−0.369460 | + | 0.929247i | \(0.620457\pi\) | |||||||
\(774\) | −161.998 | + | 47.9455i | −0.209299 | + | 0.0619451i | ||||
\(775\) | −80.0520 | − | 402.448i | −0.103293 | − | 0.519288i | ||||
\(776\) | 539.694 | + | 236.509i | 0.695482 | + | 0.304780i | ||||
\(777\) | 136.906 | − | 688.274i | 0.176198 | − | 0.885809i | ||||
\(778\) | −903.591 | − | 751.859i | −1.16143 | − | 0.966400i | ||||
\(779\) | −18.8132 | − | 191.014i | −0.0241505 | − | 0.245204i | ||||
\(780\) | 49.1162 | − | 437.793i | 0.0629694 | − | 0.561273i | ||||
\(781\) | −284.853 | − | 939.036i | −0.364729 | − | 1.20235i | ||||
\(782\) | 8.30732 | − | 40.3338i | 0.0106232 | − | 0.0515777i | ||||
\(783\) | −388.782 | + | 161.039i | −0.496528 | + | 0.205669i | ||||
\(784\) | 167.272 | + | 436.955i | 0.213357 | + | 0.557341i | ||||
\(785\) | −225.068 | + | 543.363i | −0.286711 | + | 0.692182i | ||||
\(786\) | −202.875 | + | 299.215i | −0.258110 | + | 0.380681i | ||||
\(787\) | 70.1902 | − | 131.317i | 0.0891871 | − | 0.166857i | −0.833373 | − | 0.552711i | \(-0.813593\pi\) |
0.922560 | + | 0.385854i | \(0.126093\pi\) | |||||||
\(788\) | 514.526 | − | 266.121i | 0.652951 | − | 0.337717i | ||||
\(789\) | −711.272 | − | 583.726i | −0.901486 | − | 0.739830i | ||||
\(790\) | 239.585 | − | 770.967i | 0.303273 | − | 0.975908i | ||||
\(791\) | −599.403 | + | 400.508i | −0.757779 | + | 0.506332i | ||||
\(792\) | 155.420 | + | 552.533i | 0.196238 | + | 0.697643i | ||||
\(793\) | −92.6235 | − | 61.8891i | −0.116801 | − | 0.0780442i | ||||
\(794\) | −46.1232 | + | 437.867i | −0.0580896 | + | 0.551470i | ||||
\(795\) | −24.5565 | − | 45.9419i | −0.0308886 | − | 0.0577886i | ||||
\(796\) | 9.17024 | + | 6.30872i | 0.0115204 | + | 0.00792553i | ||||
\(797\) | −43.3988 | + | 440.635i | −0.0544526 | + | 0.552867i | 0.928795 | + | 0.370593i | \(0.120846\pi\) |
−0.983248 | + | 0.182274i | \(0.941654\pi\) | |||||||
\(798\) | −353.942 | − | 2.39773i | −0.443537 | − | 0.00300468i | ||||
\(799\) | 1765.79 | + | 1765.79i | 2.21000 | + | 2.21000i | ||||
\(800\) | 320.747 | − | 198.944i | 0.400934 | − | 0.248680i | ||||
\(801\) | 161.071 | + | 161.071i | 0.201087 | + | 0.201087i | ||||
\(802\) | −449.023 | + | 442.980i | −0.559879 | + | 0.552345i | ||||
\(803\) | −193.924 | + | 1968.94i | −0.241499 | + | 2.45198i | ||||
\(804\) | −455.088 | − | 701.478i | −0.566030 | − | 0.872485i | ||||
\(805\) | −9.10319 | − | 17.0309i | −0.0113083 | − | 0.0211564i | ||||
\(806\) | 421.818 | − | 341.421i | 0.523347 | − | 0.423600i | ||||
\(807\) | 875.855 | + | 585.227i | 1.08532 | + | 0.725189i | ||||
\(808\) | 697.693 | + | 596.717i | 0.863481 | + | 0.738511i | ||||
\(809\) | 871.664 | − | 582.427i | 1.07746 | − | 0.719935i | 0.115549 | − | 0.993302i | \(-0.463137\pi\) |
0.961910 | + | 0.273367i | \(0.0881372\pi\) | |||||||
\(810\) | −202.977 | − | 386.010i | −0.250589 | − | 0.476556i | ||||
\(811\) | −434.895 | − | 356.909i | −0.536245 | − | 0.440085i | 0.326887 | − | 0.945064i | \(-0.394000\pi\) |
−0.863132 | + | 0.504978i | \(0.831500\pi\) | |||||||
\(812\) | −195.268 | − | 164.730i | −0.240478 | − | 0.202870i | ||||
\(813\) | 206.390 | − | 386.128i | 0.253862 | − | 0.474942i | ||||
\(814\) | −2668.98 | + | 512.123i | −3.27885 | + | 0.629144i | ||||
\(815\) | −242.725 | + | 585.990i | −0.297822 | + | 0.719006i | ||||
\(816\) | 1032.71 | − | 282.953i | 1.26558 | − | 0.346756i | ||||
\(817\) | −372.749 | + | 154.398i | −0.456241 | + | 0.188981i | ||||
\(818\) | −273.683 | − | 415.663i | −0.334575 | − | 0.508146i | ||||
\(819\) | 36.0373 | + | 118.799i | 0.0440016 | + | 0.145054i | ||||
\(820\) | 238.378 | + | 131.598i | 0.290704 | + | 0.160486i | ||||
\(821\) | −77.0679 | − | 782.484i | −0.0938708 | − | 0.953086i | −0.920605 | − | 0.390494i | \(-0.872304\pi\) |
0.826735 | − | 0.562592i | \(-0.190196\pi\) | |||||||
\(822\) | 18.9100 | + | 206.315i | 0.0230048 | + | 0.250991i | ||||
\(823\) | 180.407 | − | 906.966i | 0.219206 | − | 1.10202i | −0.701769 | − | 0.712404i | \(-0.747606\pi\) |
0.920976 | − | 0.389620i | \(-0.127394\pi\) | |||||||
\(824\) | 69.5914 | + | 15.3190i | 0.0844556 | + | 0.0185910i | ||||
\(825\) | 107.325 | + | 539.560i | 0.130091 | + | 0.654013i | ||||
\(826\) | 9.37657 | − | 17.2601i | 0.0113518 | − | 0.0208960i | ||||
\(827\) | −671.644 | − | 203.741i | −0.812145 | − | 0.246361i | −0.143219 | − | 0.989691i | \(-0.545745\pi\) |
−0.668925 | + | 0.743329i | \(0.733245\pi\) | |||||||
\(828\) | 4.05395 | − | 9.42390i | 0.00489607 | − | 0.0113815i | ||||
\(829\) | 323.276 | − | 265.306i | 0.389959 | − | 0.320031i | −0.418901 | − | 0.908032i | \(-0.637585\pi\) |
0.808860 | + | 0.588001i | \(0.200085\pi\) | |||||||
\(830\) | −68.6509 | − | 168.966i | −0.0827120 | − | 0.203574i | ||||
\(831\) | −474.431 | −0.570916 | ||||||||
\(832\) | 430.303 | + | 253.001i | 0.517191 | + | 0.304087i | ||||
\(833\) | − | 840.673i | − | 1.00921i | ||||||
\(834\) | −21.9756 | − | 54.0872i | −0.0263496 | − | 0.0648528i | ||||
\(835\) | −104.812 | − | 127.714i | −0.125523 | − | 0.152951i | ||||
\(836\) | 507.351 | + | 1273.38i | 0.606879 | + | 1.52318i | ||||
\(837\) | 295.763 | − | 974.999i | 0.353360 | − | 1.16487i | ||||
\(838\) | −251.906 | + | 463.700i | −0.300604 | + | 0.553342i | ||||
\(839\) | −531.109 | + | 105.644i | −0.633026 | + | 0.125917i | −0.501165 | − | 0.865351i | \(-0.667095\pi\) |
−0.131861 | + | 0.991268i | \(0.542095\pi\) | |||||||
\(840\) | 287.394 | − | 411.749i | 0.342135 | − | 0.490177i | ||||
\(841\) | 622.350 | + | 123.793i | 0.740012 | + | 0.147198i | ||||
\(842\) | −123.396 | − | 1346.30i | −0.146551 | − | 1.59893i | ||||
\(843\) | −453.327 | + | 44.6488i | −0.537755 | + | 0.0529642i | ||||
\(844\) | −4.99476 | − | 17.3062i | −0.00591796 | − | 0.0205050i | ||||
\(845\) | 627.878 | − | 190.465i | 0.743051 | − | 0.225402i | ||||
\(846\) | 342.111 | + | 519.590i | 0.404386 | + | 0.614173i | ||||
\(847\) | −477.033 | − | 1151.66i | −0.563203 | − | 1.35969i | ||||
\(848\) | 58.8769 | − | 4.19190i | 0.0694303 | − | 0.00494327i | ||||
\(849\) | 1087.19 | + | 450.330i | 1.28056 | + | 0.530424i | ||||
\(850\) | −666.017 | + | 127.795i | −0.783550 | + | 0.150347i | ||||
\(851\) | 42.8384 | + | 22.8976i | 0.0503388 | + | 0.0269067i | ||||
\(852\) | −454.415 | + | 38.5475i | −0.533351 | + | 0.0452436i | ||||
\(853\) | −220.138 | + | 268.239i | −0.258075 | + | 0.314465i | −0.885888 | − | 0.463899i | \(-0.846450\pi\) |
0.627813 | + | 0.778364i | \(0.283950\pi\) | |||||||
\(854\) | −59.0938 | − | 112.381i | −0.0691964 | − | 0.131594i | ||||
\(855\) | 206.399 | + | 308.898i | 0.241402 | + | 0.361284i | ||||
\(856\) | −863.464 | − | 281.213i | −1.00872 | − | 0.328520i | ||||
\(857\) | −477.201 | + | 714.181i | −0.556827 | + | 0.833350i | −0.997944 | − | 0.0640996i | \(-0.979582\pi\) |
0.441117 | + | 0.897450i | \(0.354582\pi\) | |||||||
\(858\) | −565.529 | + | 457.742i | −0.659125 | + | 0.533499i | ||||
\(859\) | 701.921 | − | 375.185i | 0.817138 | − | 0.436769i | −0.00919082 | − | 0.999958i | \(-0.502926\pi\) |
0.826328 | + | 0.563189i | \(0.190426\pi\) | |||||||
\(860\) | 119.258 | − | 559.802i | 0.138672 | − | 0.650933i | ||||
\(861\) | 115.562 | + | 11.3818i | 0.134218 | + | 0.0132193i | ||||
\(862\) | 621.500 | − | 613.136i | 0.720997 | − | 0.711294i | ||||
\(863\) | −871.252 | + | 871.252i | −1.00956 | + | 1.00956i | −0.00960850 | + | 0.999954i | \(0.503059\pi\) |
−0.999954 | + | 0.00960850i | \(0.996941\pi\) | |||||||
\(864\) | 935.248 | − | 60.2228i | 1.08246 | − | 0.0697023i | ||||
\(865\) | 722.266 | − | 722.266i | 0.834990 | − | 0.834990i | ||||
\(866\) | −1475.46 | − | 9.99527i | −1.70376 | − | 0.0115419i | ||||
\(867\) | −1245.16 | − | 122.637i | −1.43617 | − | 0.141450i | ||||
\(868\) | 608.239 | − | 112.442i | 0.700736 | − | 0.129541i | ||||
\(869\) | −1175.90 | + | 628.533i | −1.35317 | + | 0.723283i | ||||
\(870\) | 42.5092 | − | 403.558i | 0.0488612 | − | 0.463860i | ||||
\(871\) | −389.114 | + | 582.350i | −0.446744 | + | 0.668600i | ||||
\(872\) | −183.811 | + | 1543.92i | −0.210793 | + | 1.77055i | ||||
\(873\) | −146.533 | − | 219.302i | −0.167850 | − | 0.251206i | ||||
\(874\) | 7.27050 | − | 23.3959i | 0.00831865 | − | 0.0267688i | ||||
\(875\) | 225.872 | − | 275.226i | 0.258140 | − | 0.314544i | ||||
\(876\) | 876.189 | + | 278.807i | 1.00022 | + | 0.318273i | ||||
\(877\) | −1264.25 | − | 675.754i | −1.44156 | − | 0.770529i | −0.449143 | − | 0.893460i | \(-0.648271\pi\) |
−0.992415 | + | 0.122931i | \(0.960771\pi\) | |||||||
\(878\) | −248.712 | + | 366.820i | −0.283271 | + | 0.417790i | ||||
\(879\) | 83.0633 | + | 34.4059i | 0.0944975 | + | 0.0391421i | ||||
\(880\) | −1896.23 | − | 430.901i | −2.15481 | − | 0.489661i | ||||
\(881\) | 402.928 | + | 972.755i | 0.457353 | + | 1.10415i | 0.969465 | + | 0.245230i | \(0.0788634\pi\) |
−0.512112 | + | 0.858919i | \(0.671137\pi\) | |||||||
\(882\) | 42.2480 | − | 205.123i | 0.0479002 | − | 0.232566i | ||||
\(883\) | 22.9026 | − | 6.94742i | 0.0259372 | − | 0.00786798i | −0.277289 | − | 0.960786i | \(-0.589436\pi\) |
0.303227 | + | 0.952918i | \(0.401936\pi\) | |||||||
\(884\) | −559.540 | − | 700.955i | −0.632964 | − | 0.792936i | ||||
\(885\) | 31.0499 | − | 3.05815i | 0.0350847 | − | 0.00345554i | ||||
\(886\) | 988.469 | + | 822.484i | 1.11565 | + | 0.928312i | ||||
\(887\) | −1102.06 | − | 219.212i | −1.24245 | − | 0.247139i | −0.470260 | − | 0.882528i | \(-0.655840\pi\) |
−0.772193 | + | 0.635389i | \(0.780840\pi\) | |||||||
\(888\) | −25.6663 | + | 1262.76i | −0.0289034 | + | 1.42202i | ||||
\(889\) | 475.305 | − | 94.5441i | 0.534651 | − | 0.106349i | ||||
\(890\) | −739.995 | + | 219.012i | −0.831456 | + | 0.246081i | ||||
\(891\) | −209.084 | + | 689.257i | −0.234662 | + | 0.773577i | ||||
\(892\) | 741.242 | + | 10.0433i | 0.830989 | + | 0.0112593i | ||||
\(893\) | 942.498 | + | 1148.44i | 1.05543 | + | 1.28604i | ||||
\(894\) | −326.648 | − | 137.902i | −0.365378 | − | 0.154253i | ||||
\(895\) | 245.683i | 0.274506i | ||||||||
\(896\) | 293.314 | + | 487.520i | 0.327360 | + | 0.544107i | ||||
\(897\) | 13.0040 | 0.0144972 | ||||||||
\(898\) | 629.156 | − | 1490.28i | 0.700619 | − | 1.65956i | ||||
\(899\) | 386.407 | − | 317.116i | 0.429818 | − | 0.352743i | ||||
\(900\) | −168.929 | − | 2.28888i | −0.187699 | − | 0.00254320i | ||||
\(901\) | −101.490 | − | 30.7866i | −0.112641 | − | 0.0341693i | ||||
\(902\) | −127.622 | − | 431.207i | −0.141488 | − | 0.478057i | ||||
\(903\) | −47.6196 | − | 239.400i | −0.0527348 | − | 0.265116i | ||||
\(904\) | 935.900 | − | 898.612i | 1.03529 | − | 0.994040i | ||||
\(905\) | 246.809 | − | 1240.79i | 0.272718 | − | 1.37104i | ||||
\(906\) | 160.785 | − | 193.233i | 0.177467 | − | 0.213282i | ||||
\(907\) | 18.5765 | + | 188.610i | 0.0204812 | + | 0.207949i | 0.999979 | + | 0.00649394i | \(0.00206710\pi\) |
−0.979498 | + | 0.201455i | \(0.935433\pi\) | |||||||
\(908\) | −950.256 | − | 1190.42i | −1.04654 | − | 1.31103i | ||||
\(909\) | −119.289 | − | 393.244i | −0.131231 | − | 0.432612i | ||||
\(910\) | −411.943 | − | 84.8455i | −0.452685 | − | 0.0932368i | ||||
\(911\) | 692.462 | − | 286.827i | 0.760112 | − | 0.314849i | 0.0312522 | − | 0.999512i | \(-0.490051\pi\) |
0.728860 | + | 0.684663i | \(0.240051\pi\) | |||||||
\(912\) | 627.935 | − | 107.306i | 0.688525 | − | 0.117660i | ||||
\(913\) | −115.267 | + | 278.279i | −0.126251 | + | 0.304797i | ||||
\(914\) | −1329.99 | − | 901.762i | −1.45513 | − | 0.986610i | ||||
\(915\) | 95.0715 | − | 177.866i | 0.103903 | − | 0.194389i | ||||
\(916\) | −1135.90 | − | 361.449i | −1.24007 | − | 0.394595i | ||||
\(917\) | 266.795 | + | 218.953i | 0.290943 | + | 0.238771i | ||||
\(918\) | −1608.06 | − | 499.719i | −1.75170 | − | 0.544356i | ||||
\(919\) | 274.247 | − | 183.246i | 0.298419 | − | 0.199397i | −0.397342 | − | 0.917671i | \(-0.630067\pi\) |
0.695761 | + | 0.718273i | \(0.255067\pi\) | |||||||
\(920\) | 21.4985 | + | 27.3093i | 0.0233679 | + | 0.0296840i | ||||
\(921\) | 817.215 | + | 546.045i | 0.887312 | + | 0.592883i | ||||
\(922\) | 1378.65 | + | 145.221i | 1.49528 | + | 0.157507i | ||||
\(923\) | 180.070 | + | 336.887i | 0.195092 | + | 0.364991i | ||||
\(924\) | −815.463 | + | 150.750i | −0.882536 | + | 0.163150i | ||||
\(925\) | 78.4063 | − | 796.072i | 0.0847635 | − | 0.860619i | ||||
\(926\) | 7.10177 | − | 1048.33i | 0.00766930 | − | 1.13211i | ||||
\(927\) | −22.5538 | − | 22.5538i | −0.0243298 | − | 0.0243298i | ||||
\(928\) | 397.931 | + | 230.354i | 0.428805 | + | 0.248227i | ||||
\(929\) | −620.100 | − | 620.100i | −0.667492 | − | 0.667492i | 0.289642 | − | 0.957135i | \(-0.406464\pi\) |
−0.957135 | + | 0.289642i | \(0.906464\pi\) | |||||||
\(930\) | 690.007 | + | 699.420i | 0.741943 | + | 0.752064i | ||||
\(931\) | 49.0226 | − | 497.735i | 0.0526559 | − | 0.534624i | ||||
\(932\) | −107.969 | + | 506.810i | −0.115846 | + | 0.543787i | ||||
\(933\) | 459.436 | + | 859.545i | 0.492429 | + | 0.921270i | ||||
\(934\) | −366.307 | − | 452.563i | −0.392191 | − | 0.484543i | ||||
\(935\) | 2905.13 | + | 1941.14i | 3.10709 | + | 2.07609i | ||||
\(936\) | −101.300 | − | 199.152i | −0.108227 | − | 0.212769i | ||||
\(937\) | −536.736 | + | 358.636i | −0.572824 | + | 0.382749i | −0.807981 | − | 0.589209i | \(-0.799440\pi\) |
0.235157 | + | 0.971957i | \(0.424440\pi\) | |||||||
\(938\) | −706.573 | + | 371.539i | −0.753276 | + | 0.396097i | ||||
\(939\) | −326.889 | − | 268.271i | −0.348124 | − | 0.285698i | ||||
\(940\) | −2100.08 | + | 178.148i | −2.23413 | + | 0.189519i | ||||
\(941\) | 293.363 | − | 548.844i | 0.311757 | − | 0.583256i | −0.676430 | − | 0.736507i | \(-0.736474\pi\) |
0.988187 | + | 0.153250i | \(0.0489740\pi\) | |||||||
\(942\) | −85.0651 | − | 443.326i | −0.0903027 | − | 0.470622i | ||||
\(943\) | −3.07585 | + | 7.42575i | −0.00326177 | + | 0.00787461i | ||||
\(944\) | −11.1751 | + | 33.5398i | −0.0118380 | + | 0.0355294i | ||||
\(945\) | −729.544 | + | 302.187i | −0.772004 | + | 0.319775i | ||||
\(946\) | −789.510 | + | 519.832i | −0.834577 | + | 0.549505i | ||||
\(947\) | −1.74886 | − | 5.76523i | −0.00184674 | − | 0.00608789i | 0.956012 | − | 0.293327i | \(-0.0947625\pi\) |
−0.957859 | + | 0.287239i | \(0.907263\pi\) | |||||||
\(948\) | 171.828 | + | 595.361i | 0.181253 | + | 0.628018i | ||||
\(949\) | −75.4898 | − | 766.461i | −0.0795467 | − | 0.807651i | ||||
\(950\) | −401.779 | + | 36.8254i | −0.422926 | + | 0.0387636i | ||||
\(951\) | −117.035 | + | 588.375i | −0.123065 | + | 0.618691i | ||||
\(952\) | −179.022 | − | 1006.49i | −0.188048 | − | 1.05723i | ||||
\(953\) | −41.9592 | − | 210.943i | −0.0440285 | − | 0.221346i | 0.952507 | − | 0.304517i | \(-0.0984952\pi\) |
−0.996535 | + | 0.0831711i | \(0.973495\pi\) | |||||||
\(954\) | −23.2161 | − | 12.6122i | −0.0243356 | − | 0.0132204i | ||||
\(955\) | 85.3152 | + | 25.8801i | 0.0893353 | + | 0.0270996i | ||||
\(956\) | 424.560 | + | 1065.59i | 0.444101 | + | 1.11463i | ||||
\(957\) | −518.054 | + | 425.156i | −0.541331 | + | 0.444259i | ||||
\(958\) | 272.528 | − | 110.728i | 0.284476 | − | 0.115583i | ||||
\(959\) | 197.797 | 0.206254 | ||||||||
\(960\) | −379.482 | + | 820.191i | −0.395294 | + | 0.854366i | ||||
\(961\) | 249.286i | 0.259403i | ||||||||
\(962\) | 980.114 | − | 398.220i | 1.01883 | − | 0.413950i | ||||
\(963\) | 257.868 | + | 314.213i | 0.267775 | + | 0.326285i | ||||
\(964\) | −91.0258 | + | 211.601i | −0.0944252 | + | 0.219503i | ||||
\(965\) | −542.816 | + | 1789.42i | −0.562504 | + | 1.85433i | ||||
\(966\) | 13.0242 | + | 7.07544i | 0.0134826 | + | 0.00732447i | ||||
\(967\) | −823.128 | + | 163.730i | −0.851218 | + | 0.169318i | −0.601373 | − | 0.798968i | \(-0.705380\pi\) |
−0.249845 | + | 0.968286i | \(0.580380\pi\) | |||||||
\(968\) | 1208.27 | + | 1890.37i | 1.24821 | + | 1.95286i | ||||
\(969\) | −1122.62 | − | 223.303i | −1.15854 | − | 0.230447i | ||||
\(970\) | 889.838 | − | 81.5589i | 0.917358 | − | 0.0840813i | ||||
\(971\) | 601.849 | − | 59.2769i | 0.619824 | − | 0.0610473i | 0.216769 | − | 0.976223i | \(-0.430448\pi\) |
0.403055 | + | 0.915176i | \(0.367948\pi\) | |||||||
\(972\) | −629.969 | − | 347.780i | −0.648117 | − | 0.357798i | ||||
\(973\) | −53.3374 | + | 16.1797i | −0.0548174 | + | 0.0166287i | ||||
\(974\) | 621.043 | − | 408.910i | 0.637621 | − | 0.419825i | ||||
\(975\) | −81.9526 | − | 197.851i | −0.0840540 | − | 0.202924i | ||||
\(976\) | 140.133 | + | 180.512i | 0.143579 | + | 0.184951i | ||||
\(977\) | −175.191 | − | 72.5666i | −0.179316 | − | 0.0742749i | 0.291219 | − | 0.956656i | \(-0.405939\pi\) |
−0.470535 | + | 0.882381i | \(0.655939\pi\) | |||||||
\(978\) | −91.7386 | − | 478.105i | −0.0938022 | − | 0.488860i | ||||
\(979\) | 1124.03 | + | 600.809i | 1.14815 | + | 0.613697i | ||||
\(980\) | 542.320 | + | 457.506i | 0.553387 | + | 0.466842i | ||||
\(981\) | 441.511 | − | 537.983i | 0.450063 | − | 0.548403i | ||||
\(982\) | −1192.90 | + | 627.265i | −1.21476 | + | 0.638763i | ||||
\(983\) | 325.543 | + | 487.210i | 0.331173 | + | 0.495636i | 0.959267 | − | 0.282502i | \(-0.0911644\pi\) |
−0.628093 | + | 0.778138i | \(0.716164\pi\) | |||||||
\(984\) | −208.360 | + | 16.2541i | −0.211748 | + | 0.0165184i | ||||
\(985\) | 488.040 | − | 730.404i | 0.495472 | − | 0.741527i | ||||
\(986\) | −519.767 | − | 642.160i | −0.527147 | − | 0.651277i | ||||
\(987\) | −792.685 | + | 423.699i | −0.803125 | + | 0.429279i | ||||
\(988\) | −290.410 | − | 447.642i | −0.293937 | − | 0.453079i | ||||
\(989\) | 16.8139 | + | 1.65603i | 0.0170009 | + | 0.00167445i | ||||
\(990\) | 611.294 | + | 619.633i | 0.617469 | + | 0.625892i | ||||
\(991\) | −610.020 | + | 610.020i | −0.615560 | + | 0.615560i | −0.944389 | − | 0.328830i | \(-0.893346\pi\) |
0.328830 | + | 0.944389i | \(0.393346\pi\) | |||||||
\(992\) | −1042.35 | + | 390.949i | −1.05076 | + | 0.394102i | ||||
\(993\) | −198.188 | + | 198.188i | −0.199585 | + | 0.199585i | ||||
\(994\) | −2.94946 | + | 435.386i | −0.00296726 | + | 0.438014i | ||||
\(995\) | 16.7981 | + | 1.65447i | 0.0168825 | + | 0.00166279i | ||||
\(996\) | 115.328 | + | 79.3406i | 0.115791 | + | 0.0796593i | ||||
\(997\) | 1119.57 | − | 598.422i | 1.12294 | − | 0.600223i | 0.197948 | − | 0.980213i | \(-0.436572\pi\) |
0.924991 | + | 0.379990i | \(0.124072\pi\) | |||||||
\(998\) | 195.523 | + | 20.5956i | 0.195915 | + | 0.0206369i | ||||
\(999\) | 1103.50 | − | 1651.50i | 1.10460 | − | 1.65315i |
(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 | 128.3.l.a.3.4 | ✓ | 496 | |
128.43 | odd | 32 | inner | 128.3.l.a.43.4 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.3.l.a.3.4 | ✓ | 496 | 1.1 | even | 1 | trivial | |
128.3.l.a.43.4 | yes | 496 | 128.43 | odd | 32 | inner |