Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,3,Mod(44,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.44");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.j (of order \(6\), degree \(2\), not 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: | \(5.14987699641\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 44.1 | ||
Character | \(\chi\) | \(=\) | 189.44 |
Dual form | 189.3.j.b.116.11 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 3.69072i | − | 1.84536i | −0.385569 | − | 0.922679i | \(-0.625995\pi\) | ||
0.385569 | − | 0.922679i | \(-0.374005\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −9.62138 | −2.40535 | ||||||||
\(5\) | −5.05096 | + | 2.91617i | −1.01019 | + | 0.583234i | −0.911248 | − | 0.411859i | \(-0.864880\pi\) |
−0.0989435 | + | 0.995093i | \(0.531546\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.74467 | + | 5.91417i | 0.534953 | + | 0.844882i | ||||
\(8\) | 20.7469i | 2.59337i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 10.7628 | + | 18.6416i | 1.07628 | + | 1.86416i | ||||
\(11\) | −2.91374 | − | 1.68225i | −0.264885 | − | 0.152932i | 0.361676 | − | 0.932304i | \(-0.382205\pi\) |
−0.626561 | + | 0.779372i | \(0.715538\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.158134 | − | 0.273895i | 0.0121641 | − | 0.0210689i | −0.859879 | − | 0.510497i | \(-0.829461\pi\) |
0.872043 | + | 0.489429i | \(0.162795\pi\) | |||||||
\(14\) | 21.8275 | − | 13.8205i | 1.55911 | − | 0.987180i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 38.0855 | 2.38034 | ||||||||
\(17\) | 2.99912 | − | 1.73154i | 0.176419 | − | 0.101856i | −0.409190 | − | 0.912449i | \(-0.634189\pi\) |
0.585609 | + | 0.810594i | \(0.300855\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −12.0337 | + | 20.8430i | −0.633353 | + | 1.09700i | 0.353508 | + | 0.935431i | \(0.384989\pi\) |
−0.986861 | + | 0.161569i | \(0.948345\pi\) | |||||||
\(20\) | 48.5972 | − | 28.0576i | 2.42986 | − | 1.40288i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.20870 | + | 10.7538i | −0.282214 | + | 0.488808i | ||||
\(23\) | −29.4672 | + | 17.0129i | −1.28118 | + | 0.739691i | −0.977064 | − | 0.212944i | \(-0.931695\pi\) |
−0.304117 | + | 0.952635i | \(0.598362\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.50810 | − | 7.80826i | 0.180324 | − | 0.312331i | ||||
\(26\) | −1.01087 | − | 0.583626i | −0.0388796 | − | 0.0224472i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −36.0289 | − | 56.9025i | −1.28675 | − | 2.03223i | ||||
\(29\) | −31.6161 | + | 18.2536i | −1.09021 | + | 0.629434i | −0.933633 | − | 0.358231i | \(-0.883380\pi\) |
−0.156579 | + | 0.987665i | \(0.550047\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 24.1833 | 0.780105 | 0.390052 | − | 0.920793i | \(-0.372457\pi\) | ||||
0.390052 | + | 0.920793i | \(0.372457\pi\) | |||||||
\(32\) | − | 57.5750i | − | 1.79922i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.39064 | − | 11.0689i | −0.187960 | − | 0.325556i | ||||
\(35\) | −36.1609 | − | 18.9521i | −1.03317 | − | 0.541489i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.23403 | − | 7.33356i | 0.114433 | − | 0.198204i | −0.803120 | − | 0.595818i | \(-0.796828\pi\) |
0.917553 | + | 0.397613i | \(0.130161\pi\) | |||||||
\(38\) | 76.9256 | + | 44.4130i | 2.02436 | + | 1.16876i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −60.5016 | − | 104.792i | −1.51254 | − | 2.61980i | ||||
\(41\) | 39.9308 | + | 23.0541i | 0.973922 | + | 0.562294i | 0.900430 | − | 0.435002i | \(-0.143252\pi\) |
0.0734924 | + | 0.997296i | \(0.476586\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −26.4994 | − | 45.8984i | −0.616266 | − | 1.06740i | −0.990161 | − | 0.139933i | \(-0.955311\pi\) |
0.373895 | − | 0.927471i | \(-0.378022\pi\) | |||||||
\(44\) | 28.0342 | + | 16.1855i | 0.637141 | + | 0.367853i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 62.7897 | + | 108.755i | 1.36499 | + | 2.36424i | ||||
\(47\) | − | 19.9421i | − | 0.424300i | −0.977237 | − | 0.212150i | \(-0.931954\pi\) | ||
0.977237 | − | 0.212150i | \(-0.0680465\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −20.9549 | + | 44.2933i | −0.427650 | + | 0.903944i | ||||
\(50\) | −28.8181 | − | 16.6381i | −0.576362 | − | 0.332763i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.52146 | + | 2.63525i | −0.0292589 | + | 0.0506779i | ||||
\(53\) | −29.2909 | + | 16.9111i | −0.552659 | + | 0.319078i | −0.750194 | − | 0.661218i | \(-0.770040\pi\) |
0.197535 | + | 0.980296i | \(0.436706\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 19.6229 | 0.356780 | ||||||||
\(56\) | −122.701 | + | 77.6905i | −2.19109 | + | 1.38733i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 67.3688 | + | 116.686i | 1.16153 | + | 2.01183i | ||||
\(59\) | − | 36.4493i | − | 0.617785i | −0.951097 | − | 0.308892i | \(-0.900042\pi\) | ||
0.951097 | − | 0.308892i | \(-0.0999583\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.0428 | 0.197422 | 0.0987111 | − | 0.995116i | \(-0.468528\pi\) | ||||
0.0987111 | + | 0.995116i | \(0.468528\pi\) | |||||||
\(62\) | − | 89.2535i | − | 1.43957i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −60.1511 | −0.939861 | ||||||||
\(65\) | 1.84458i | 0.0283781i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −34.9256 | −0.521278 | −0.260639 | − | 0.965436i | \(-0.583933\pi\) | ||||
−0.260639 | + | 0.965436i | \(0.583933\pi\) | |||||||
\(68\) | −28.8557 | + | 16.6599i | −0.424349 | + | 0.244998i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −69.9469 | + | 133.460i | −0.999241 | + | 1.90657i | ||||
\(71\) | 85.7413i | 1.20762i | 0.797127 | + | 0.603812i | \(0.206352\pi\) | ||||
−0.797127 | + | 0.603812i | \(0.793648\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −35.3783 | − | 61.2770i | −0.484634 | − | 0.839411i | 0.515210 | − | 0.857064i | \(-0.327714\pi\) |
−0.999844 | + | 0.0176532i | \(0.994381\pi\) | |||||||
\(74\) | −27.0661 | − | 15.6266i | −0.365758 | − | 0.211170i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 115.781 | − | 200.539i | 1.52343 | − | 2.63866i | ||||
\(77\) | −0.961895 | − | 23.5318i | −0.0124921 | − | 0.305608i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −101.406 | −1.28362 | −0.641810 | − | 0.766864i | \(-0.721816\pi\) | ||||
−0.641810 | + | 0.766864i | \(0.721816\pi\) | |||||||
\(80\) | −192.368 | + | 111.064i | −2.40460 | + | 1.38830i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 85.0860 | − | 147.373i | 1.03763 | − | 1.79723i | ||||
\(83\) | −26.0171 | + | 15.0210i | −0.313459 | + | 0.180976i | −0.648473 | − | 0.761237i | \(-0.724592\pi\) |
0.335014 | + | 0.942213i | \(0.391259\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.0990 | + | 17.4919i | −0.118811 | + | 0.205787i | ||||
\(86\) | −169.398 | + | 97.8019i | −1.96974 | + | 1.13723i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 34.9015 | − | 60.4511i | 0.396608 | − | 0.686945i | ||||
\(89\) | −46.5438 | − | 26.8721i | −0.522964 | − | 0.301933i | 0.215183 | − | 0.976574i | \(-0.430965\pi\) |
−0.738146 | + | 0.674641i | \(0.764299\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.21202 | − | 0.0904195i | 0.0243079 | − | 0.000993620i | ||||
\(92\) | 283.515 | − | 163.688i | 3.08169 | − | 1.77921i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −73.6006 | −0.782985 | ||||||||
\(95\) | − | 140.369i | − | 1.47757i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.60974 | − | 6.25225i | −0.0372138 | − | 0.0644561i | 0.846819 | − | 0.531882i | \(-0.178515\pi\) |
−0.884032 | + | 0.467426i | \(0.845182\pi\) | |||||||
\(98\) | 163.474 | + | 77.3384i | 1.66810 | + | 0.789167i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −43.3742 | + | 75.1263i | −0.433742 | + | 0.751263i | ||||
\(101\) | 52.3908 | + | 30.2479i | 0.518721 | + | 0.299484i | 0.736411 | − | 0.676534i | \(-0.236519\pi\) |
−0.217690 | + | 0.976018i | \(0.569852\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 81.6220 | + | 141.373i | 0.792447 | + | 1.37256i | 0.924448 | + | 0.381308i | \(0.124526\pi\) |
−0.132001 | + | 0.991250i | \(0.542140\pi\) | |||||||
\(104\) | 5.68249 | + | 3.28079i | 0.0546393 | + | 0.0315460i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 62.4142 | + | 108.105i | 0.588813 | + | 1.01985i | ||||
\(107\) | 97.8099 | + | 56.4706i | 0.914111 | + | 0.527762i | 0.881752 | − | 0.471714i | \(-0.156364\pi\) |
0.0323597 | + | 0.999476i | \(0.489698\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −62.6322 | − | 108.482i | −0.574607 | − | 0.995248i | −0.996084 | − | 0.0884094i | \(-0.971822\pi\) |
0.421477 | − | 0.906839i | \(-0.361512\pi\) | |||||||
\(110\) | − | 72.4225i | − | 0.658386i | ||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 142.618 | + | 225.244i | 1.27337 | + | 2.01111i | ||||
\(113\) | 29.6935 | + | 17.1435i | 0.262774 | + | 0.151713i | 0.625599 | − | 0.780144i | \(-0.284854\pi\) |
−0.362825 | + | 0.931857i | \(0.618188\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 99.2250 | − | 171.863i | 0.862826 | − | 1.49446i | ||||
\(116\) | 304.191 | − | 175.625i | 2.62234 | − | 1.51401i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −134.524 | −1.14003 | ||||||||
\(119\) | 21.4714 | + | 11.2533i | 0.180432 | + | 0.0945652i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −54.8401 | − | 94.9858i | −0.453224 | − | 0.785007i | ||||
\(122\) | − | 44.4464i | − | 0.364315i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −232.676 | −1.87642 | ||||||||
\(125\) | − | 93.2229i | − | 0.745784i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 216.982 | 1.70852 | 0.854259 | − | 0.519847i | \(-0.174011\pi\) | ||||
0.854259 | + | 0.519847i | \(0.174011\pi\) | |||||||
\(128\) | − | 8.29948i | − | 0.0648397i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.80781 | 0.0523678 | ||||||||
\(131\) | 107.699 | − | 62.1798i | 0.822126 | − | 0.474655i | −0.0290229 | − | 0.999579i | \(-0.509240\pi\) |
0.851149 | + | 0.524924i | \(0.175906\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −168.331 | + | 6.88077i | −1.26565 | + | 0.0517351i | ||||
\(134\) | 128.901i | 0.961944i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 35.9242 | + | 62.2226i | 0.264149 | + | 0.457519i | ||||
\(137\) | 5.77715 | + | 3.33544i | 0.0421690 | + | 0.0243463i | 0.520936 | − | 0.853596i | \(-0.325583\pi\) |
−0.478767 | + | 0.877942i | \(0.658916\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.80202 | + | 15.2455i | −0.0633239 | + | 0.109680i | −0.895949 | − | 0.444156i | \(-0.853503\pi\) |
0.832625 | + | 0.553837i | \(0.186837\pi\) | |||||||
\(140\) | 347.918 | + | 182.346i | 2.48513 | + | 1.30247i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 316.447 | 2.22850 | ||||||||
\(143\) | −0.921520 | + | 0.532040i | −0.00644419 | + | 0.00372056i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 106.461 | − | 184.396i | 0.734215 | − | 1.27170i | ||||
\(146\) | −226.156 | + | 130.571i | −1.54901 | + | 0.894323i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −40.7373 | + | 70.5590i | −0.275252 | + | 0.476750i | ||||
\(149\) | 25.7165 | − | 14.8474i | 0.172594 | − | 0.0996472i | −0.411214 | − | 0.911539i | \(-0.634895\pi\) |
0.583808 | + | 0.811891i | \(0.301562\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 34.9796 | − | 60.5864i | 0.231653 | − | 0.401234i | −0.726642 | − | 0.687016i | \(-0.758920\pi\) |
0.958295 | + | 0.285782i | \(0.0922534\pi\) | |||||||
\(152\) | −432.428 | − | 249.663i | −2.84492 | − | 1.64252i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −86.8492 | + | 3.55008i | −0.563956 | + | 0.0230525i | ||||
\(155\) | −122.149 | + | 70.5225i | −0.788055 | + | 0.454984i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −196.639 | −1.25248 | −0.626239 | − | 0.779631i | \(-0.715407\pi\) | ||||
−0.626239 | + | 0.779631i | \(0.715407\pi\) | |||||||
\(158\) | 374.261i | 2.36874i | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 167.899 | + | 290.809i | 1.04937 | + | 1.81756i | ||||
\(161\) | −210.962 | − | 110.566i | −1.31032 | − | 0.686747i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.64174 | + | 8.03973i | −0.0284769 | + | 0.0493235i | −0.879913 | − | 0.475135i | \(-0.842399\pi\) |
0.851436 | + | 0.524459i | \(0.175732\pi\) | |||||||
\(164\) | −384.190 | − | 221.812i | −2.34262 | − | 1.35251i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 55.4382 | + | 96.0219i | 0.333965 | + | 0.578445i | ||||
\(167\) | 91.5268 | + | 52.8430i | 0.548065 | + | 0.316425i | 0.748341 | − | 0.663314i | \(-0.230851\pi\) |
−0.200276 | + | 0.979739i | \(0.564184\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 84.4500 | + | 146.272i | 0.499704 | + | 0.865513i | ||||
\(170\) | 64.5577 | + | 37.2724i | 0.379751 | + | 0.219249i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 254.961 | + | 441.606i | 1.48233 | + | 2.56748i | ||||
\(173\) | 192.578i | 1.11317i | 0.830791 | + | 0.556585i | \(0.187889\pi\) | ||||
−0.830791 | + | 0.556585i | \(0.812111\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 63.0608 | − | 2.57770i | 0.360347 | − | 0.0147297i | ||||
\(176\) | −110.971 | − | 64.0692i | −0.630518 | − | 0.364030i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −99.1771 | + | 171.780i | −0.557175 | + | 0.965055i | ||||
\(179\) | 46.3963 | − | 26.7869i | 0.259197 | − | 0.149648i | −0.364771 | − | 0.931097i | \(-0.618853\pi\) |
0.623968 | + | 0.781450i | \(0.285519\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −113.509 | −0.627124 | −0.313562 | − | 0.949568i | \(-0.601522\pi\) | ||||
−0.313562 | + | 0.949568i | \(0.601522\pi\) | |||||||
\(182\) | −0.333713 | − | 8.16395i | −0.00183359 | − | 0.0448569i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −352.965 | − | 611.354i | −1.91829 | − | 3.32257i | ||||
\(185\) | 49.3886i | 0.266966i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.6515 | −0.0623077 | ||||||||
\(188\) | 191.870i | 1.02059i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −518.064 | −2.72665 | ||||||||
\(191\) | − | 172.586i | − | 0.903593i | −0.892121 | − | 0.451797i | \(-0.850783\pi\) | ||
0.892121 | − | 0.451797i | \(-0.149217\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 190.324 | 0.986135 | 0.493068 | − | 0.869991i | \(-0.335876\pi\) | ||||
0.493068 | + | 0.869991i | \(0.335876\pi\) | |||||||
\(194\) | −23.0753 | + | 13.3225i | −0.118945 | + | 0.0686727i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 201.615 | − | 426.163i | 1.02865 | − | 2.17430i | ||||
\(197\) | 98.0156i | 0.497541i | 0.968562 | + | 0.248770i | \(0.0800265\pi\) | ||||
−0.968562 | + | 0.248770i | \(0.919974\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 128.149 | + | 221.961i | 0.643965 | + | 1.11538i | 0.984540 | + | 0.175162i | \(0.0560451\pi\) |
−0.340575 | + | 0.940217i | \(0.610622\pi\) | |||||||
\(200\) | 161.998 | + | 93.5293i | 0.809988 | + | 0.467647i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 111.636 | − | 193.360i | 0.552655 | − | 0.957226i | ||||
\(203\) | −226.347 | − | 118.630i | −1.11501 | − | 0.584382i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −268.918 | −1.31180 | ||||||||
\(206\) | 521.769 | − | 301.244i | 2.53286 | − | 1.46235i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 6.02260 | − | 10.4314i | 0.0289548 | − | 0.0501512i | ||||
\(209\) | 70.1262 | − | 40.4874i | 0.335532 | − | 0.193719i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −130.914 | + | 226.750i | −0.620447 | + | 1.07465i | 0.368955 | + | 0.929447i | \(0.379716\pi\) |
−0.989402 | + | 0.145199i | \(0.953618\pi\) | |||||||
\(212\) | 281.819 | − | 162.708i | 1.32934 | − | 0.767493i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 208.417 | − | 360.989i | 0.973911 | − | 1.68686i | ||||
\(215\) | 267.695 | + | 154.554i | 1.24509 | + | 0.718854i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 90.5584 | + | 143.024i | 0.417320 | + | 0.659096i | ||||
\(218\) | −400.377 | + | 231.157i | −1.83659 | + | 1.06036i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −188.799 | −0.858179 | ||||||||
\(221\) | − | 1.09526i | − | 0.00495593i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 179.709 | + | 311.266i | 0.805872 | + | 1.39581i | 0.915701 | + | 0.401860i | \(0.131636\pi\) |
−0.109829 | + | 0.993950i | \(0.535030\pi\) | |||||||
\(224\) | 340.509 | − | 215.600i | 1.52013 | − | 0.962499i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 63.2719 | − | 109.590i | 0.279964 | − | 0.484912i | ||||
\(227\) | 353.118 | + | 203.873i | 1.55559 | + | 0.898118i | 0.997670 | + | 0.0682208i | \(0.0217322\pi\) |
0.557916 | + | 0.829897i | \(0.311601\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −38.7964 | − | 67.1973i | −0.169417 | − | 0.293438i | 0.768798 | − | 0.639491i | \(-0.220855\pi\) |
−0.938215 | + | 0.346053i | \(0.887522\pi\) | |||||||
\(230\) | −634.296 | − | 366.211i | −2.75781 | − | 1.59222i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −378.706 | − | 655.938i | −1.63235 | − | 2.82732i | ||||
\(233\) | −393.484 | − | 227.178i | −1.68877 | − | 0.975013i | −0.955460 | − | 0.295121i | \(-0.904640\pi\) |
−0.733312 | − | 0.679892i | \(-0.762027\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 58.1545 | + | 100.727i | 0.247466 | + | 0.428624i | ||||
\(236\) | 350.693i | 1.48599i | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 41.5326 | − | 79.2448i | 0.174507 | − | 0.332961i | ||||
\(239\) | 44.0684 | + | 25.4429i | 0.184387 | + | 0.106456i | 0.589352 | − | 0.807876i | \(-0.299383\pi\) |
−0.404965 | + | 0.914332i | \(0.632716\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 95.7821 | − | 165.900i | 0.397436 | − | 0.688380i | −0.595973 | − | 0.803005i | \(-0.703233\pi\) |
0.993409 | + | 0.114625i | \(0.0365666\pi\) | |||||||
\(242\) | −350.566 | + | 202.399i | −1.44862 | + | 0.836360i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −115.868 | −0.474869 | ||||||||
\(245\) | −23.3247 | − | 284.831i | −0.0952029 | − | 1.16258i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.80587 | + | 6.59196i | 0.0154084 | + | 0.0266881i | ||||
\(248\) | 501.728i | 2.02310i | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −344.059 | −1.37624 | ||||||||
\(251\) | − | 262.216i | − | 1.04469i | −0.852735 | − | 0.522343i | \(-0.825058\pi\) | ||
0.852735 | − | 0.522343i | \(-0.174942\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 114.480 | 0.452488 | ||||||||
\(254\) | − | 800.818i | − | 3.15283i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −271.236 | −1.05951 | ||||||||
\(257\) | −122.518 | + | 70.7359i | −0.476724 | + | 0.275237i | −0.719050 | − | 0.694958i | \(-0.755423\pi\) |
0.242326 | + | 0.970195i | \(0.422090\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 59.2270 | − | 2.42098i | 0.228676 | − | 0.00934743i | ||||
\(260\) | − | 17.7474i | − | 0.0682592i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −229.488 | − | 397.485i | −0.875908 | − | 1.51712i | ||||
\(263\) | 382.349 | + | 220.750i | 1.45380 | + | 0.839352i | 0.998694 | − | 0.0510853i | \(-0.0162680\pi\) |
0.455106 | + | 0.890437i | \(0.349601\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 98.6315 | − | 170.835i | 0.372194 | − | 0.644659i | ||||
\(266\) | 25.3950 | + | 621.263i | 0.0954699 | + | 2.33558i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 336.033 | 1.25385 | ||||||||
\(269\) | −88.6239 | + | 51.1670i | −0.329457 | + | 0.190212i | −0.655600 | − | 0.755108i | \(-0.727584\pi\) |
0.326143 | + | 0.945320i | \(0.394251\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −160.403 | + | 277.826i | −0.591893 | + | 1.02519i | 0.402084 | + | 0.915603i | \(0.368286\pi\) |
−0.993977 | + | 0.109586i | \(0.965047\pi\) | |||||||
\(272\) | 114.223 | − | 65.9467i | 0.419938 | − | 0.242451i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.3102 | − | 21.3218i | 0.0449276 | − | 0.0778168i | ||||
\(275\) | −26.2709 | + | 15.1675i | −0.0955304 | + | 0.0551545i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −102.207 | + | 177.028i | −0.368979 | + | 0.639091i | −0.989406 | − | 0.145173i | \(-0.953626\pi\) |
0.620427 | + | 0.784264i | \(0.286959\pi\) | |||||||
\(278\) | 56.2670 | + | 32.4857i | 0.202399 | + | 0.116855i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 393.198 | − | 750.228i | 1.40428 | − | 2.67939i | ||||
\(281\) | 10.0933 | − | 5.82736i | 0.0359191 | − | 0.0207379i | −0.481933 | − | 0.876208i | \(-0.660065\pi\) |
0.517852 | + | 0.855470i | \(0.326732\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 346.245 | 1.22348 | 0.611740 | − | 0.791059i | \(-0.290470\pi\) | ||||
0.611740 | + | 0.791059i | \(0.290470\pi\) | |||||||
\(284\) | − | 824.950i | − | 2.90475i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.96361 | + | 3.40107i | 0.00686576 | + | 0.0118918i | ||||
\(287\) | 13.1821 | + | 322.488i | 0.0459307 | + | 1.12365i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −138.504 | + | 239.895i | −0.479251 | + | 0.830087i | ||||
\(290\) | −680.554 | − | 392.918i | −2.34674 | − | 1.35489i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 340.388 | + | 589.569i | 1.16571 | + | 2.01907i | ||||
\(293\) | 81.5708 | + | 47.0949i | 0.278399 | + | 0.160734i | 0.632698 | − | 0.774398i | \(-0.281947\pi\) |
−0.354300 | + | 0.935132i | \(0.615281\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 106.292 | + | 184.104i | 0.360313 | + | 0.624081i | ||||
\(296\) | 152.149 | + | 87.8432i | 0.514016 | + | 0.296768i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −54.7976 | − | 94.9123i | −0.183885 | − | 0.318498i | ||||
\(299\) | 10.7612i | 0.0359908i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 172.219 | − | 328.596i | 0.572156 | − | 1.09168i | ||||
\(302\) | −223.607 | − | 129.100i | −0.740421 | − | 0.427482i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −458.310 | + | 793.816i | −1.50760 | + | 2.61124i | ||||
\(305\) | −60.8274 | + | 35.1187i | −0.199434 | + | 0.115143i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −503.730 | −1.64081 | −0.820407 | − | 0.571781i | \(-0.806253\pi\) | ||||
−0.820407 | + | 0.571781i | \(0.806253\pi\) | |||||||
\(308\) | 9.25476 | + | 226.409i | 0.0300479 | + | 0.735093i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 260.278 | + | 450.816i | 0.839608 | + | 1.45424i | ||||
\(311\) | 275.966i | 0.887350i | 0.896188 | + | 0.443675i | \(0.146325\pi\) | ||||
−0.896188 | + | 0.443675i | \(0.853675\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 381.083 | 1.21752 | 0.608759 | − | 0.793355i | \(-0.291668\pi\) | ||||
0.608759 | + | 0.793355i | \(0.291668\pi\) | |||||||
\(314\) | 725.739i | 2.31127i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 975.665 | 3.08755 | ||||||||
\(317\) | 609.376i | 1.92232i | 0.275990 | + | 0.961160i | \(0.410994\pi\) | ||||
−0.275990 | + | 0.961160i | \(0.589006\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 122.828 | 0.385041 | ||||||||
\(320\) | 303.821 | − | 175.411i | 0.949440 | − | 0.548159i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −408.069 | + | 778.601i | −1.26729 | + | 2.41802i | ||||
\(323\) | 83.3476i | 0.258042i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.42577 | − | 2.46950i | −0.00438697 | − | 0.00759846i | ||||
\(326\) | 29.6724 | + | 17.1313i | 0.0910195 | + | 0.0525501i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −478.301 | + | 828.442i | −1.45824 | + | 2.52574i | ||||
\(329\) | 117.941 | − | 74.6766i | 0.358483 | − | 0.226980i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −510.883 | −1.54345 | −0.771727 | − | 0.635954i | \(-0.780607\pi\) | ||||
−0.771727 | + | 0.635954i | \(0.780607\pi\) | |||||||
\(332\) | 250.321 | − | 144.523i | 0.753979 | − | 0.435310i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 195.029 | − | 337.799i | 0.583918 | − | 1.01138i | ||||
\(335\) | 176.408 | − | 101.849i | 0.526590 | − | 0.304027i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −72.9765 | + | 126.399i | −0.216547 | + | 0.375071i | −0.953750 | − | 0.300600i | \(-0.902813\pi\) |
0.737203 | + | 0.675672i | \(0.236146\pi\) | |||||||
\(338\) | 539.847 | − | 311.681i | 1.59718 | − | 0.922133i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 97.1659 | − | 168.296i | 0.285782 | − | 0.494989i | ||||
\(341\) | −70.4637 | − | 40.6822i | −0.206638 | − | 0.119303i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −340.427 | + | 41.9332i | −0.992499 | + | 0.122254i | ||||
\(344\) | 952.250 | − | 549.782i | 2.76817 | − | 1.59820i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 710.752 | 2.05420 | ||||||||
\(347\) | − | 275.853i | − | 0.794967i | −0.917609 | − | 0.397483i | \(-0.869884\pi\) | ||
0.917609 | − | 0.397483i | \(-0.130116\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 119.986 | + | 207.822i | 0.343800 | + | 0.595480i | 0.985135 | − | 0.171782i | \(-0.0549523\pi\) |
−0.641335 | + | 0.767261i | \(0.721619\pi\) | |||||||
\(350\) | −9.51354 | − | 232.739i | −0.0271815 | − | 0.664970i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −96.8555 | + | 167.759i | −0.275158 | + | 0.476587i | ||||
\(353\) | −469.244 | − | 270.918i | −1.32930 | − | 0.767474i | −0.344112 | − | 0.938929i | \(-0.611820\pi\) |
−0.985192 | + | 0.171455i | \(0.945153\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −250.036 | − | 433.076i | −0.704328 | − | 1.21993i | ||||
\(356\) | 447.815 | + | 258.546i | 1.25791 | + | 0.726254i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −98.8629 | − | 171.236i | −0.276153 | − | 0.478312i | ||||
\(359\) | −383.110 | − | 221.189i | −1.06716 | − | 0.616124i | −0.139754 | − | 0.990186i | \(-0.544631\pi\) |
−0.927404 | + | 0.374062i | \(0.877965\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −109.120 | − | 189.002i | −0.302273 | − | 0.523551i | ||||
\(362\) | 418.931i | 1.15727i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −21.2827 | + | 0.869960i | −0.0584690 | + | 0.00239000i | ||||
\(365\) | 357.388 | + | 206.338i | 0.979146 | + | 0.565310i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 153.095 | − | 265.167i | 0.417151 | − | 0.722527i | −0.578500 | − | 0.815682i | \(-0.696362\pi\) |
0.995652 | + | 0.0931549i | \(0.0296952\pi\) | |||||||
\(368\) | −1122.27 | + | 647.944i | −3.04965 | + | 1.76072i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 182.279 | 0.492647 | ||||||||
\(371\) | −209.700 | − | 109.905i | −0.565230 | − | 0.296240i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −109.315 | − | 189.339i | −0.293069 | − | 0.507610i | 0.681465 | − | 0.731851i | \(-0.261343\pi\) |
−0.974534 | + | 0.224241i | \(0.928010\pi\) | |||||||
\(374\) | 43.0025i | 0.114980i | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 413.737 | 1.10036 | ||||||||
\(377\) | 11.5460i | 0.0306261i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 254.498 | 0.671500 | 0.335750 | − | 0.941951i | \(-0.391010\pi\) | ||||
0.335750 | + | 0.941951i | \(0.391010\pi\) | |||||||
\(380\) | 1350.55i | 3.55407i | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −636.967 | −1.66745 | ||||||||
\(383\) | 491.482 | − | 283.757i | 1.28324 | − | 0.740881i | 0.305803 | − | 0.952095i | \(-0.401075\pi\) |
0.977440 | + | 0.211214i | \(0.0677417\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 73.4813 | + | 116.053i | 0.190860 | + | 0.301437i | ||||
\(386\) | − | 702.432i | − | 1.81977i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 34.7307 | + | 60.1553i | 0.0895120 | + | 0.155039i | ||||
\(389\) | −251.771 | − | 145.360i | −0.647226 | − | 0.373676i | 0.140166 | − | 0.990128i | \(-0.455236\pi\) |
−0.787393 | + | 0.616452i | \(0.788570\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −58.9171 | + | 102.047i | −0.150683 | + | 0.260991i | ||||
\(392\) | −918.950 | − | 434.749i | −2.34426 | − | 1.10905i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 361.748 | 0.918141 | ||||||||
\(395\) | 512.197 | − | 295.717i | 1.29670 | − | 0.748651i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 229.543 | − | 397.580i | 0.578194 | − | 1.00146i | −0.417493 | − | 0.908680i | \(-0.637091\pi\) |
0.995687 | − | 0.0927809i | \(-0.0295756\pi\) | |||||||
\(398\) | 819.194 | − | 472.962i | 2.05828 | − | 1.18835i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 171.693 | − | 297.382i | 0.429234 | − | 0.743454i | ||||
\(401\) | −398.361 | + | 229.994i | −0.993418 | + | 0.573550i | −0.906294 | − | 0.422647i | \(-0.861101\pi\) |
−0.0871241 | + | 0.996197i | \(0.527768\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.82418 | − | 6.62368i | 0.00948929 | − | 0.0164359i | ||||
\(404\) | −504.072 | − | 291.026i | −1.24770 | − | 0.720362i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −437.828 | + | 835.382i | −1.07839 | + | 2.05759i | ||||
\(407\) | −24.6737 | + | 14.2454i | −0.0606234 | + | 0.0350009i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −583.840 | −1.42748 | −0.713741 | − | 0.700410i | \(-0.753001\pi\) | ||||
−0.713741 | + | 0.700410i | \(0.753001\pi\) | |||||||
\(410\) | 992.501i | 2.42073i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −785.317 | − | 1360.21i | −1.90611 | − | 3.30148i | ||||
\(413\) | 215.567 | − | 136.491i | 0.521955 | − | 0.330486i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 87.6076 | − | 151.741i | 0.211103 | − | 0.365641i | ||||
\(416\) | −15.7695 | − | 9.10455i | −0.0379076 | − | 0.0218859i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −149.427 | − | 258.816i | −0.357482 | − | 0.619176i | ||||
\(419\) | −125.878 | − | 72.6756i | −0.300424 | − | 0.173450i | 0.342209 | − | 0.939624i | \(-0.388825\pi\) |
−0.642634 | + | 0.766174i | \(0.722158\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.2429 | + | 40.2578i | 0.0552087 | + | 0.0956243i | 0.892309 | − | 0.451425i | \(-0.149084\pi\) |
−0.837100 | + | 0.547050i | \(0.815751\pi\) | |||||||
\(422\) | 836.871 | + | 483.168i | 1.98311 | + | 1.14495i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −350.854 | − | 607.697i | −0.827486 | − | 1.43325i | ||||
\(425\) | − | 31.2239i | − | 0.0734680i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 45.0962 | + | 71.2229i | 0.105612 | + | 0.166798i | ||||
\(428\) | −941.067 | − | 543.325i | −2.19875 | − | 1.26945i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 570.414 | − | 987.986i | 1.32654 | − | 2.29764i | ||||
\(431\) | 217.312 | − | 125.465i | 0.504204 | − | 0.291103i | −0.226244 | − | 0.974071i | \(-0.572645\pi\) |
0.730448 | + | 0.682968i | \(0.239311\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 158.357 | 0.365720 | 0.182860 | − | 0.983139i | \(-0.441464\pi\) | ||||
0.182860 | + | 0.983139i | \(0.441464\pi\) | |||||||
\(434\) | 527.861 | − | 334.225i | 1.21627 | − | 0.770104i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 602.608 | + | 1043.75i | 1.38213 | + | 2.39392i | ||||
\(437\) | − | 818.913i | − | 1.87394i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 334.767 | 0.762568 | 0.381284 | − | 0.924458i | \(-0.375482\pi\) | ||||
0.381284 | + | 0.924458i | \(0.375482\pi\) | |||||||
\(440\) | 407.115i | 0.925261i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.04230 | −0.00914547 | ||||||||
\(443\) | 21.4373i | 0.0483912i | 0.999707 | + | 0.0241956i | \(0.00770245\pi\) | ||||
−0.999707 | + | 0.0241956i | \(0.992298\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 313.454 | 0.704391 | ||||||||
\(446\) | 1148.79 | − | 663.256i | 2.57577 | − | 1.48712i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −225.246 | − | 355.744i | −0.502782 | − | 0.794072i | ||||
\(449\) | 113.632i | 0.253078i | 0.991962 | + | 0.126539i | \(0.0403868\pi\) | ||||
−0.991962 | + | 0.126539i | \(0.959613\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −77.5653 | − | 134.347i | −0.171985 | − | 0.297887i | ||||
\(452\) | −285.692 | − | 164.945i | −0.632063 | − | 0.364922i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 752.437 | − | 1303.26i | 1.65735 | − | 2.87061i | ||||
\(455\) | −10.9092 | + | 6.90734i | −0.0239762 | + | 0.0151810i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 111.500 | 0.243982 | 0.121991 | − | 0.992531i | \(-0.461072\pi\) | ||||
0.121991 | + | 0.992531i | \(0.461072\pi\) | |||||||
\(458\) | −248.006 | + | 143.186i | −0.541498 | + | 0.312634i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −954.681 | + | 1653.56i | −2.07539 | + | 3.59469i | ||||
\(461\) | 143.867 | − | 83.0619i | 0.312077 | − | 0.180178i | −0.335779 | − | 0.941941i | \(-0.608999\pi\) |
0.647855 | + | 0.761763i | \(0.275666\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 121.635 | − | 210.678i | 0.262711 | − | 0.455028i | −0.704251 | − | 0.709951i | \(-0.748717\pi\) |
0.966961 | + | 0.254923i | \(0.0820502\pi\) | |||||||
\(464\) | −1204.12 | + | 695.197i | −2.59508 | + | 1.49827i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −838.450 | + | 1452.24i | −1.79925 | + | 3.11639i | ||||
\(467\) | 300.050 | + | 173.234i | 0.642505 | + | 0.370950i | 0.785579 | − | 0.618762i | \(-0.212365\pi\) |
−0.143074 | + | 0.989712i | \(0.545699\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −130.785 | − | 206.556i | −0.278859 | − | 0.440418i | ||||
\(470\) | 371.753 | − | 214.632i | 0.790964 | − | 0.456663i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 756.211 | 1.60214 | ||||||||
\(473\) | 178.314i | 0.376986i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 108.498 | + | 187.925i | 0.228418 | + | 0.395631i | ||||
\(476\) | −206.584 | − | 108.272i | −0.434001 | − | 0.227462i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 93.9026 | − | 162.644i | 0.196449 | − | 0.340260i | ||||
\(479\) | 482.865 | + | 278.782i | 1.00807 | + | 0.582009i | 0.910626 | − | 0.413232i | \(-0.135600\pi\) |
0.0974437 | + | 0.995241i | \(0.468933\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.33909 | − | 2.31936i | −0.00278396 | − | 0.00482196i | ||||
\(482\) | −612.288 | − | 353.505i | −1.27031 | − | 0.733412i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 527.638 | + | 913.895i | 1.09016 | + | 1.88821i | ||||
\(485\) | 36.4652 | + | 21.0532i | 0.0751860 | + | 0.0434087i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −190.990 | − | 330.804i | −0.392176 | − | 0.679269i | 0.600560 | − | 0.799580i | \(-0.294944\pi\) |
−0.992736 | + | 0.120310i | \(0.961611\pi\) | |||||||
\(488\) | 249.850i | 0.511988i | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1051.23 | + | 86.0849i | −2.14537 | + | 0.175683i | ||||
\(491\) | −448.359 | − | 258.860i | −0.913155 | − | 0.527210i | −0.0317099 | − | 0.999497i | \(-0.510095\pi\) |
−0.881445 | + | 0.472287i | \(0.843429\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −63.2138 | + | 109.489i | −0.128223 | + | 0.222088i | ||||
\(494\) | 24.3290 | − | 14.0464i | 0.0492491 | − | 0.0284340i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 921.031 | 1.85692 | ||||||||
\(497\) | −507.089 | + | 321.073i | −1.02030 | + | 0.646022i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 31.1288 | + | 53.9167i | 0.0623824 | + | 0.108049i | 0.895530 | − | 0.445001i | \(-0.146797\pi\) |
−0.833147 | + | 0.553051i | \(0.813463\pi\) | |||||||
\(500\) | 896.934i | 1.79387i | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −967.766 | −1.92782 | ||||||||
\(503\) | 608.089i | 1.20892i | 0.796634 | + | 0.604462i | \(0.206612\pi\) | ||||
−0.796634 | + | 0.604462i | \(0.793388\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −352.832 | −0.698677 | ||||||||
\(506\) | − | 422.511i | − | 0.835003i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2087.67 | −4.10958 | ||||||||
\(509\) | −335.722 | + | 193.829i | −0.659572 | + | 0.380804i | −0.792114 | − | 0.610373i | \(-0.791019\pi\) |
0.132542 | + | 0.991177i | \(0.457686\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 229.922 | − | 438.695i | 0.449946 | − | 0.858504i | ||||
\(512\) | 967.855i | 1.89034i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 261.066 | + | 452.180i | 0.507911 | + | 0.879727i | ||||
\(515\) | −824.538 | − | 476.047i | −1.60105 | − | 0.924364i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −33.5475 | + | 58.1060i | −0.0648888 | + | 0.112391i | ||||
\(518\) | −8.93516 | − | 218.590i | −0.0172494 | − | 0.421988i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −38.2693 | −0.0735949 | ||||||||
\(521\) | −457.542 | + | 264.162i | −0.878200 | + | 0.507029i | −0.870064 | − | 0.492938i | \(-0.835923\pi\) |
−0.00813547 | + | 0.999967i | \(0.502590\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −179.837 | + | 311.487i | −0.343856 | + | 0.595577i | −0.985145 | − | 0.171723i | \(-0.945067\pi\) |
0.641289 | + | 0.767300i | \(0.278400\pi\) | |||||||
\(524\) | −1036.21 | + | 598.256i | −1.97750 | + | 1.14171i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 814.724 | − | 1411.14i | 1.54890 | − | 2.68278i | ||||
\(527\) | 72.5285 | − | 41.8744i | 0.137625 | − | 0.0794580i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 314.377 | − | 544.516i | 0.594285 | − | 1.02933i | ||||
\(530\) | −630.502 | − | 364.021i | −1.18963 | − | 0.686832i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1619.58 | − | 66.2026i | 3.04433 | − | 0.124441i | ||||
\(533\) | 12.6288 | − | 7.29124i | 0.0236938 | − | 0.0136796i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −658.711 | −1.23124 | ||||||||
\(536\) | − | 724.600i | − | 1.35186i | ||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 188.843 | + | 327.086i | 0.351009 | + | 0.607966i | ||||
\(539\) | 135.569 | − | 93.8077i | 0.251520 | − | 0.174040i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 35.5347 | − | 61.5479i | 0.0656834 | − | 0.113767i | −0.831314 | − | 0.555804i | \(-0.812411\pi\) |
0.896997 | + | 0.442037i | \(0.145744\pi\) | |||||||
\(542\) | 1025.38 | + | 592.002i | 1.89184 | + | 1.09225i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −99.6937 | − | 172.675i | −0.183261 | − | 0.317417i | ||||
\(545\) | 632.705 | + | 365.292i | 1.16093 | + | 0.670261i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −180.236 | − | 312.177i | −0.329498 | − | 0.570708i | 0.652914 | − | 0.757432i | \(-0.273546\pi\) |
−0.982412 | + | 0.186724i | \(0.940213\pi\) | |||||||
\(548\) | −55.5842 | − | 32.0915i | −0.101431 | − | 0.0585612i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 55.9789 | + | 96.9583i | 0.101780 | + | 0.176288i | ||||
\(551\) | − | 878.634i | − | 1.59462i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −379.732 | − | 599.732i | −0.686676 | − | 1.08451i | ||||
\(554\) | 653.361 | + | 377.218i | 1.17935 | + | 0.680899i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 84.6876 | − | 146.683i | 0.152316 | − | 0.263819i | ||||
\(557\) | −133.574 | + | 77.1188i | −0.239809 | + | 0.138454i | −0.615089 | − | 0.788458i | \(-0.710880\pi\) |
0.375280 | + | 0.926912i | \(0.377547\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −16.7618 | −0.0299853 | ||||||||
\(560\) | −1377.21 | − | 721.801i | −2.45930 | − | 1.28893i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −21.5071 | − | 37.2514i | −0.0382689 | − | 0.0662837i | ||||
\(563\) | 792.263i | 1.40722i | 0.710588 | + | 0.703608i | \(0.248429\pi\) | ||||
−0.710588 | + | 0.703608i | \(0.751571\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −199.974 | −0.353936 | ||||||||
\(566\) | − | 1277.89i | − | 2.25776i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1778.87 | −3.13181 | ||||||||
\(569\) | 257.560i | 0.452654i | 0.974051 | + | 0.226327i | \(0.0726717\pi\) | ||||
−0.974051 | + | 0.226327i | \(0.927328\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 673.354 | 1.17925 | 0.589627 | − | 0.807675i | \(-0.299275\pi\) | ||||
0.589627 | + | 0.807675i | \(0.299275\pi\) | |||||||
\(572\) | 8.86630 | − | 5.11896i | 0.0155005 | − | 0.00894923i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1190.21 | − | 48.6515i | 2.07354 | − | 0.0847586i | ||||
\(575\) | 306.783i | 0.533536i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 424.944 | + | 736.025i | 0.736472 | + | 1.27561i | 0.954075 | + | 0.299569i | \(0.0968428\pi\) |
−0.217603 | + | 0.976037i | \(0.569824\pi\) | |||||||
\(578\) | 885.385 | + | 511.177i | 1.53181 | + | 0.884389i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1024.30 | + | 1774.15i | −1.76604 | + | 3.05887i | ||||
\(581\) | −186.262 | − | 97.6211i | −0.320589 | − | 0.168023i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 113.795 | 0.195188 | ||||||||
\(584\) | 1271.31 | − | 733.991i | 2.17690 | − | 1.25683i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 173.814 | − | 301.055i | 0.296611 | − | 0.513745i | ||||
\(587\) | −181.073 | + | 104.543i | −0.308472 | + | 0.178097i | −0.646243 | − | 0.763132i | \(-0.723661\pi\) |
0.337770 | + | 0.941229i | \(0.390327\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −291.014 | + | 504.051i | −0.494082 | + | 0.855775i | ||||
\(590\) | 679.475 | − | 392.295i | 1.15165 | − | 0.664907i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 161.255 | − | 279.302i | 0.272391 | − | 0.471794i | ||||
\(593\) | −123.884 | − | 71.5246i | −0.208911 | − | 0.120615i | 0.391894 | − | 0.920010i | \(-0.371820\pi\) |
−0.600805 | + | 0.799395i | \(0.705153\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −141.267 | + | 5.77450i | −0.237424 | + | 0.00970504i | ||||
\(596\) | −247.428 | + | 142.853i | −0.415148 | + | 0.239686i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 39.7167 | 0.0664158 | ||||||||
\(599\) | − | 655.280i | − | 1.09396i | −0.837147 | − | 0.546978i | \(-0.815778\pi\) | ||
0.837147 | − | 0.546978i | \(-0.184222\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −403.102 | − | 698.192i | −0.670718 | − | 1.16172i | −0.977701 | − | 0.210003i | \(-0.932653\pi\) |
0.306983 | − | 0.951715i | \(-0.400681\pi\) | |||||||
\(602\) | −1212.76 | − | 635.612i | −2.01455 | − | 1.05583i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −336.552 | + | 582.925i | −0.557205 | + | 0.965107i | ||||
\(605\) | 553.990 | + | 319.846i | 0.915685 | + | 0.528671i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 593.332 | + | 1027.68i | 0.977483 | + | 1.69305i | 0.671486 | + | 0.741017i | \(0.265656\pi\) |
0.305996 | + | 0.952033i | \(0.401010\pi\) | |||||||
\(608\) | 1200.04 | + | 692.841i | 1.97374 | + | 1.13954i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 129.613 | + | 224.497i | 0.212481 | + | 0.368028i | ||||
\(611\) | −5.46205 | − | 3.15351i | −0.00893952 | − | 0.00516123i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −175.369 | − | 303.748i | −0.286083 | − | 0.495510i | 0.686788 | − | 0.726858i | \(-0.259020\pi\) |
−0.972871 | + | 0.231347i | \(0.925687\pi\) | |||||||
\(614\) | 1859.12i | 3.02789i | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 488.213 | − | 19.9564i | 0.792554 | − | 0.0323967i | ||||
\(617\) | 161.583 | + | 93.2899i | 0.261885 | + | 0.151199i | 0.625194 | − | 0.780469i | \(-0.285020\pi\) |
−0.363309 | + | 0.931669i | \(0.618353\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −271.539 | + | 470.319i | −0.438673 | + | 0.759804i | −0.997587 | − | 0.0694215i | \(-0.977885\pi\) |
0.558915 | + | 0.829225i | \(0.311218\pi\) | |||||||
\(620\) | 1175.24 | − | 678.524i | 1.89555 | − | 1.09439i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1018.51 | 1.63748 | ||||||||
\(623\) | −15.3652 | − | 375.895i | −0.0246633 | − | 0.603363i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 384.557 | + | 666.072i | 0.615291 | + | 1.06571i | ||||
\(626\) | − | 1406.47i | − | 2.24676i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1891.94 | 3.01264 | ||||||||
\(629\) | − | 29.3257i | − | 0.0466227i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −181.605 | −0.287805 | −0.143902 | − | 0.989592i | \(-0.545965\pi\) | ||||
−0.143902 | + | 0.989592i | \(0.545965\pi\) | |||||||
\(632\) | − | 2103.86i | − | 3.32890i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2249.03 | 3.54737 | ||||||||
\(635\) | −1095.97 | + | 632.756i | −1.72593 | + | 0.996466i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.81806 | + | 12.7437i | 0.0138431 | + | 0.0200058i | ||||
\(638\) | − | 453.324i | − | 0.710539i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 24.2027 | + | 41.9203i | 0.0378167 | + | 0.0655005i | ||||
\(641\) | 286.732 | + | 165.545i | 0.447320 | + | 0.258260i | 0.706698 | − | 0.707516i | \(-0.250184\pi\) |
−0.259378 | + | 0.965776i | \(0.583517\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 457.251 | − | 791.983i | 0.711122 | − | 1.23170i | −0.253314 | − | 0.967384i | \(-0.581521\pi\) |
0.964436 | − | 0.264315i | \(-0.0851459\pi\) | |||||||
\(644\) | 2029.75 | + | 1063.80i | 3.15178 | + | 1.65186i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 307.612 | 0.476180 | ||||||||
\(647\) | −364.736 | + | 210.580i | −0.563733 | + | 0.325472i | −0.754643 | − | 0.656136i | \(-0.772190\pi\) |
0.190909 | + | 0.981608i | \(0.438856\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −61.3167 | + | 106.204i | −0.0944788 | + | 0.163642i | ||||
\(650\) | −9.11422 | + | 5.26209i | −0.0140219 | + | 0.00809553i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 44.6600 | − | 77.3533i | 0.0684969 | − | 0.118640i | ||||
\(653\) | 245.370 | − | 141.664i | 0.375758 | − | 0.216944i | −0.300213 | − | 0.953872i | \(-0.597058\pi\) |
0.675971 | + | 0.736928i | \(0.263724\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −362.654 | + | 628.135i | −0.553670 | + | 0.958984i | ||||
\(656\) | 1520.78 | + | 878.026i | 2.31827 | + | 1.33845i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −275.610 | − | 435.286i | −0.418860 | − | 0.661529i | ||||
\(659\) | −98.1069 | + | 56.6421i | −0.148872 | + | 0.0859515i | −0.572586 | − | 0.819845i | \(-0.694060\pi\) |
0.423713 | + | 0.905796i | \(0.360726\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1068.00 | −1.61574 | −0.807869 | − | 0.589362i | \(-0.799379\pi\) | ||||
−0.807869 | + | 0.589362i | \(0.799379\pi\) | |||||||
\(662\) | 1885.52i | 2.84822i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −311.640 | − | 539.776i | −0.469337 | − | 0.812915i | ||||
\(665\) | 830.169 | − | 525.638i | 1.24837 | − | 0.790432i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 621.092 | − | 1075.76i | 0.931173 | − | 1.61284i | ||||
\(668\) | −880.615 | − | 508.423i | −1.31829 | − | 0.761112i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −375.896 | − | 651.071i | −0.561039 | − | 0.971748i | ||||
\(671\) | −35.0894 | − | 20.2589i | −0.0522943 | − | 0.0301921i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −438.286 | − | 759.133i | −0.651242 | − | 1.12798i | −0.982822 | − | 0.184557i | \(-0.940915\pi\) |
0.331580 | − | 0.943427i | \(-0.392418\pi\) | |||||||
\(674\) | 466.503 | + | 269.335i | 0.692140 | + | 0.399607i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −812.526 | − | 1407.34i | −1.20196 | − | 2.08186i | ||||
\(677\) | − | 1188.95i | − | 1.75621i | −0.478469 | − | 0.878104i | \(-0.658808\pi\) | ||
0.478469 | − | 0.878104i | \(-0.341192\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 23.4596 | − | 44.7612i | 0.0345502 | − | 0.0659223i | ||||
\(680\) | −362.903 | − | 209.522i | −0.533681 | − | 0.308121i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −150.146 | + | 260.061i | −0.220156 | + | 0.381322i | ||||
\(683\) | −604.484 | + | 348.999i | −0.885043 | + | 0.510980i | −0.872318 | − | 0.488939i | \(-0.837384\pi\) |
−0.0127252 | + | 0.999919i | \(0.504051\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −38.9068 | −0.0567983 | ||||||||
\(686\) | 154.764 | + | 1256.42i | 0.225603 | + | 1.83152i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1009.24 | − | 1748.06i | −1.46692 | − | 2.54079i | ||||
\(689\) | 10.6969i | 0.0155252i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1013.22 | −1.46630 | −0.733151 | − | 0.680066i | \(-0.761951\pi\) | ||||
−0.733151 | + | 0.680066i | \(0.761951\pi\) | |||||||
\(692\) | − | 1852.87i | − | 2.67756i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1018.10 | −1.46700 | ||||||||
\(695\) | − | 102.673i | − | 0.147731i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 159.676 | 0.229091 | ||||||||
\(698\) | 767.013 | − | 442.835i | 1.09887 | − | 0.634435i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −606.732 | + | 24.8010i | −0.866760 | + | 0.0354300i | ||||
\(701\) | − | 910.897i | − | 1.29942i | −0.760180 | − | 0.649712i | \(-0.774889\pi\) | ||
0.760180 | − | 0.649712i | \(-0.225111\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 101.902 | + | 176.500i | 0.144953 | + | 0.251067i | ||||
\(704\) | 175.265 | + | 101.189i | 0.248955 | + | 0.143734i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −999.883 | + | 1731.85i | −1.41626 | + | 2.45304i | ||||
\(707\) | 17.2955 | + | 423.117i | 0.0244632 | + | 0.598468i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −938.350 | −1.32348 | −0.661742 | − | 0.749732i | \(-0.730183\pi\) | ||||
−0.661742 | + | 0.749732i | \(0.730183\pi\) | |||||||
\(710\) | −1598.36 | + | 922.813i | −2.25121 | + | 1.29974i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 557.513 | − | 965.640i | 0.783024 | − | 1.35624i | ||||
\(713\) | −712.612 | + | 411.427i | −0.999456 | + | 0.577036i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.10304 | − | 5.37462i | 0.00433991 | − | 0.00751695i | ||||
\(716\) | −446.397 | + | 257.727i | −0.623459 | + | 0.359954i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −816.344 | + | 1413.95i | −1.13697 | + | 1.96929i | ||||
\(719\) | 268.462 | + | 154.996i | 0.373382 | + | 0.215572i | 0.674935 | − | 0.737877i | \(-0.264172\pi\) |
−0.301553 | + | 0.953449i | \(0.597505\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −530.459 | + | 1012.12i | −0.735727 | + | 1.40378i | ||||
\(722\) | −697.553 | + | 402.732i | −0.966140 | + | 0.557801i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1092.12 | 1.50845 | ||||||||
\(725\) | 329.156i | 0.454009i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 712.724 | + | 1234.47i | 0.980363 | + | 1.69804i | 0.660963 | + | 0.750418i | \(0.270148\pi\) |
0.319400 | + | 0.947620i | \(0.396519\pi\) | |||||||
\(728\) | 1.87593 | + | 45.8927i | 0.00257682 | + | 0.0630394i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 761.536 | − | 1319.02i | 1.04320 | − | 1.80687i | ||||
\(731\) | −158.950 | − | 91.7699i | −0.217442 | − | 0.125540i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 470.224 | + | 814.451i | 0.641506 | + | 1.11112i | 0.985097 | + | 0.172001i | \(0.0550232\pi\) |
−0.343591 | + | 0.939119i | \(0.611643\pi\) | |||||||
\(734\) | −978.658 | − | 565.028i | −1.33332 | − | 0.769793i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 979.518 | + | 1696.57i | 1.33087 | + | 2.30513i | ||||
\(737\) | 101.764 | + | 58.7535i | 0.138079 | + | 0.0797199i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 488.765 | + | 846.566i | 0.661387 | + | 1.14556i | 0.980251 | + | 0.197756i | \(0.0633654\pi\) |
−0.318864 | + | 0.947801i | \(0.603301\pi\) | |||||||
\(740\) | − | 475.187i | − | 0.642145i | ||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −405.628 | + | 773.944i | −0.546669 | + | 1.04305i | ||||
\(743\) | −626.132 | − | 361.497i | −0.842707 | − | 0.486537i | 0.0154762 | − | 0.999880i | \(-0.495074\pi\) |
−0.858184 | + | 0.513343i | \(0.828407\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −86.5953 | + | 149.987i | −0.116235 | + | 0.201325i | ||||
\(746\) | −698.795 | + | 403.449i | −0.936722 | + | 0.540817i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 112.104 | 0.149872 | ||||||||
\(749\) | 32.2894 | + | 789.929i | 0.0431100 | + | 1.05464i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 115.796 | + | 200.565i | 0.154189 | + | 0.267064i | 0.932764 | − | 0.360489i | \(-0.117390\pi\) |
−0.778574 | + | 0.627553i | \(0.784057\pi\) | |||||||
\(752\) | − | 759.504i | − | 1.00998i | ||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 42.6131 | 0.0565160 | ||||||||
\(755\) | 408.026i | 0.540431i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1088.59 | 1.43804 | 0.719018 | − | 0.694992i | \(-0.244592\pi\) | ||||
0.719018 | + | 0.694992i | \(0.244592\pi\) | |||||||
\(758\) | − | 939.282i | − | 1.23916i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2912.24 | 3.83189 | ||||||||
\(761\) | 117.838 | − | 68.0337i | 0.154846 | − | 0.0894004i | −0.420575 | − | 0.907258i | \(-0.638172\pi\) |
0.575421 | + | 0.817857i | \(0.304838\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 407.045 | − | 776.647i | 0.533479 | − | 1.01789i | ||||
\(764\) | 1660.52i | 2.17345i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1047.27 | − | 1813.92i | −1.36719 | − | 2.36804i | ||||
\(767\) | −9.98330 | − | 5.76386i | −0.0130160 | − | 0.00751481i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −402.392 | + | 696.964i | −0.523267 | + | 0.906325i | 0.476367 | + | 0.879247i | \(0.341954\pi\) |
−0.999633 | + | 0.0270779i | \(0.991380\pi\) | |||||||
\(770\) | 428.319 | − | 271.199i | 0.556258 | − | 0.352206i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1831.18 | −2.37200 | ||||||||
\(773\) | 299.560 | − | 172.951i | 0.387529 | − | 0.223740i | −0.293560 | − | 0.955941i | \(-0.594840\pi\) |
0.681089 | + | 0.732201i | \(0.261507\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 109.021 | − | 188.829i | 0.140672 | − | 0.243651i | ||||
\(776\) | 129.715 | − | 74.8910i | 0.167158 | − | 0.0965090i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −536.483 | + | 929.215i | −0.689566 | + | 1.19436i | ||||
\(779\) | −961.031 | + | 554.852i | −1.23367 | + | 0.712262i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 144.238 | − | 249.828i | 0.184684 | − | 0.319882i | ||||
\(782\) | 376.628 | + | 217.446i | 0.481622 | + | 0.278064i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −798.076 | + | 1686.93i | −1.01795 | + | 2.15170i | ||||
\(785\) | 993.215 | − | 573.433i | 1.26524 | − | 0.730488i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 37.2833 | 0.0473739 | 0.0236870 | − | 0.999719i | \(-0.492460\pi\) | ||||
0.0236870 | + | 0.999719i | \(0.492460\pi\) | |||||||
\(788\) | − | 943.045i | − | 1.19676i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1091.41 | − | 1890.37i | −1.38153 | − | 2.39288i | ||||
\(791\) | 9.80253 | + | 239.809i | 0.0123926 | + | 0.303172i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.90436 | − | 3.29846i | 0.00240147 | − | 0.00415947i | ||||
\(794\) | −1467.36 | − | 847.178i | −1.84805 | − | 1.06697i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1232.97 | − | 2135.57i | −1.54896 | − | 2.68287i | ||||
\(797\) | 1009.32 | + | 582.728i | 1.26639 | + | 0.731152i | 0.974304 | − | 0.225239i | \(-0.0723162\pi\) |
0.292089 | + | 0.956391i | \(0.405650\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −34.5306 | − | 59.8087i | −0.0432173 | − | 0.0748545i | ||||
\(800\) | −449.561 | − | 259.554i | −0.561951 | − | 0.324443i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 848.841 | + | 1470.24i | 1.05841 | + | 1.83321i | ||||
\(803\) | 238.060i | 0.296463i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1387.99 | − | 56.7360i | 1.72421 | − | 0.0704795i | ||||
\(806\) | −24.4461 | − | 14.1140i | −0.0303302 | − | 0.0175111i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −627.550 | + | 1086.95i | −0.776671 | + | 1.34523i | ||||
\(809\) | 865.722 | − | 499.825i | 1.07011 | − | 0.617830i | 0.141901 | − | 0.989881i | \(-0.454679\pi\) |
0.928212 | + | 0.372051i | \(0.121345\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 634.194 | 0.781990 | 0.390995 | − | 0.920393i | \(-0.372131\pi\) | ||||
0.390995 | + | 0.920393i | \(0.372131\pi\) | |||||||
\(812\) | 2177.77 | + | 1141.38i | 2.68198 | + | 1.40564i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 52.5757 | + | 91.0637i | 0.0645893 | + | 0.111872i | ||||
\(815\) | − | 54.1444i | − | 0.0664349i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1275.55 | 1.56126 | ||||||||
\(818\) | 2154.79i | 2.63422i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2587.37 | 3.15532 | ||||||||
\(821\) | 304.571i | 0.370975i | 0.982647 | + | 0.185488i | \(0.0593864\pi\) | ||||
−0.982647 | + | 0.185488i | \(0.940614\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −850.775 | −1.03375 | −0.516874 | − | 0.856061i | \(-0.672904\pi\) | ||||
−0.516874 | + | 0.856061i | \(0.672904\pi\) | |||||||
\(824\) | −2933.07 | + | 1693.41i | −3.55955 | + | 2.05510i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −503.748 | − | 795.598i | −0.609865 | − | 0.963194i | ||||
\(827\) | − | 0.427608i | − | 0.000517059i | −1.00000 | 0.000258530i | \(-0.999918\pi\) | |||
1.00000 | 0.000258530i | \(-8.22925e-5\pi\) | ||||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 224.677 | + | 389.151i | 0.271021 | + | 0.469422i | 0.969124 | − | 0.246575i | \(-0.0793053\pi\) |
−0.698102 | + | 0.715998i | \(0.745972\pi\) | |||||||
\(830\) | −560.032 | − | 323.335i | −0.674738 | − | 0.389560i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −9.51191 | + | 16.4751i | −0.0114326 | + | 0.0198018i | ||||
\(833\) | 13.8496 | + | 169.125i | 0.0166262 | + | 0.203031i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −616.397 | −0.738200 | ||||||||
\(836\) | −674.711 | + | 389.544i | −0.807070 | + | 0.465962i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −268.225 | + | 464.579i | −0.320078 | + | 0.554390i | ||||
\(839\) | 185.989 | − | 107.381i | 0.221680 | − | 0.127987i | −0.385048 | − | 0.922897i | \(-0.625815\pi\) |
0.606728 | + | 0.794910i | \(0.292482\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 245.887 | − | 425.889i | 0.292374 | − | 0.506407i | ||||
\(842\) | 148.580 | − | 85.7828i | 0.176461 | − | 0.101880i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1259.58 | − | 2181.65i | 1.49239 | − | 2.58490i | ||||
\(845\) | −853.106 | − | 492.541i | −1.00959 | − | 0.582889i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 356.404 | − | 680.024i | 0.420784 | − | 0.802862i | ||||
\(848\) | −1115.56 | + | 644.069i | −1.31552 | + | 0.759515i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −115.239 | −0.135575 | ||||||||
\(851\) | 288.132i | 0.338581i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 192.842 | + | 334.012i | 0.226075 | + | 0.391573i | 0.956641 | − | 0.291269i | \(-0.0940773\pi\) |
−0.730567 | + | 0.682841i | \(0.760744\pi\) | |||||||
\(854\) | 262.864 | − | 166.437i | 0.307803 | − | 0.194891i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1171.59 | + | 2029.26i | −1.36868 | + | 2.37063i | ||||
\(857\) | −1130.65 | − | 652.782i | −1.31931 | − | 0.761707i | −0.335696 | − | 0.941970i | \(-0.608972\pi\) |
−0.983618 | + | 0.180264i | \(0.942305\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −590.609 | − | 1022.96i | −0.687554 | − | 1.19088i | −0.972627 | − | 0.232372i | \(-0.925351\pi\) |
0.285073 | − | 0.958506i | \(-0.407982\pi\) | |||||||
\(860\) | −2575.60 | − | 1487.02i | −2.99488 | − | 1.72909i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −463.056 | − | 802.037i | −0.537188 | − | 0.930438i | ||||
\(863\) | 782.044 | + | 451.514i | 0.906193 | + | 0.523191i | 0.879204 | − | 0.476445i | \(-0.158075\pi\) |
0.0269886 | + | 0.999636i | \(0.491408\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −561.591 | − | 972.704i | −0.649238 | − | 1.12451i | ||||
\(866\) | − | 584.450i | − | 0.674884i | ||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −871.297 | − | 1376.09i | −1.00380 | − | 1.58535i | ||||
\(869\) | 295.470 | + | 170.590i | 0.340012 | + | 0.196306i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.52291 | + | 9.56597i | −0.00634089 | + | 0.0109827i | ||||
\(872\) | 2250.67 | − | 1299.43i | 2.58104 | − | 1.49017i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3022.37 | −3.45809 | ||||||||
\(875\) | 551.336 | − | 349.089i | 0.630099 | − | 0.398959i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 277.106 | + | 479.961i | 0.315970 | + | 0.547276i | 0.979643 | − | 0.200747i | \(-0.0643368\pi\) |
−0.663673 | + | 0.748023i | \(0.731003\pi\) | |||||||
\(878\) | − | 1235.53i | − | 1.40721i | ||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 747.347 | 0.849258 | ||||||||
\(881\) | − | 750.603i | − | 0.851990i | −0.904726 | − | 0.425995i | \(-0.859924\pi\) | ||
0.904726 | − | 0.425995i | \(-0.140076\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1042.83 | −1.18101 | −0.590504 | − | 0.807035i | \(-0.701071\pi\) | ||||
−0.590504 | + | 0.807035i | \(0.701071\pi\) | |||||||
\(884\) | 10.5379i | 0.0119207i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 79.1190 | 0.0892991 | ||||||||
\(887\) | −73.7419 | + | 42.5749i | −0.0831363 | + | 0.0479987i | −0.540992 | − | 0.841028i | \(-0.681951\pi\) |
0.457856 | + | 0.889027i | \(0.348618\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 812.526 | + | 1283.27i | 0.913977 | + | 1.44350i | ||||
\(890\) | − | 1156.87i | − | 1.29985i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1729.05 | − | 2994.81i | −1.93840 | − | 3.35741i | ||||
\(893\) | 415.653 | + | 239.977i | 0.465457 | + | 0.268732i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −156.230 | + | 270.599i | −0.174559 | + | 0.302345i | ||||
\(896\) | 49.0846 | − | 31.0788i | 0.0547819 | − | 0.0346862i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 419.383 | 0.467019 | ||||||||
\(899\) | −764.581 | + | 441.431i | −0.850479 | + | 0.491025i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −58.5647 | + | 101.437i | −0.0649997 | + | 0.112583i | ||||
\(902\) | −495.837 | + | 286.271i | −0.549708 | + | 0.317374i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −355.676 | + | 616.049i | −0.393447 | + | 0.681470i | ||||
\(905\) | 573.331 | − | 331.013i | 0.633515 | − | 0.365760i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 430.076 | − | 744.914i | 0.474175 | − | 0.821294i | −0.525388 | − | 0.850863i | \(-0.676080\pi\) |
0.999563 | + | 0.0295683i | \(0.00941324\pi\) | |||||||
\(908\) | −3397.48 | − | 1961.54i | −3.74172 | − | 2.16029i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 25.4930 | + | 40.2626i | 0.0280143 | + | 0.0442446i | ||||
\(911\) | 1335.63 | − | 771.127i | 1.46612 | − | 0.846462i | 0.466833 | − | 0.884345i | \(-0.345395\pi\) |
0.999282 | + | 0.0378830i | \(0.0120614\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 101.076 | 0.110708 | ||||||||
\(914\) | − | 411.513i | − | 0.450233i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 373.275 | + | 646.531i | 0.407505 | + | 0.705820i | ||||
\(917\) | 771.038 | + | 404.105i | 0.840826 | + | 0.440681i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 838.124 | − | 1451.67i | 0.911995 | − | 1.57962i | 0.100753 | − | 0.994911i | \(-0.467875\pi\) |
0.811242 | − | 0.584711i | \(-0.198792\pi\) | |||||||
\(920\) | 3565.62 | + | 2058.61i | 3.87568 | + | 2.23762i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −306.558 | − | 530.974i | −0.332492 | − | 0.575894i | ||||
\(923\) | 23.4842 | + | 13.5586i | 0.0254433 | + | 0.0146897i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −38.1749 | − | 66.1209i | −0.0412702 | − | 0.0714820i | ||||
\(926\) | −777.553 | − | 448.920i | −0.839690 | − | 0.484795i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1050.95 | + | 1820.30i | 1.13249 | + | 1.96153i | ||||
\(929\) | 1466.71i | 1.57880i | 0.613879 | + | 0.789400i | \(0.289608\pi\) | ||||
−0.613879 | + | 0.789400i | \(0.710392\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −671.040 | − | 969.774i | −0.720773 | − | 1.04165i | ||||
\(932\) | 3785.86 | + | 2185.77i | 4.06208 | + | 2.34524i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 639.357 | − | 1107.40i | 0.684536 | − | 1.18565i | ||||
\(935\) | 58.8514 | − | 33.9779i | 0.0629427 | − | 0.0363400i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 322.074 | 0.343729 | 0.171864 | − | 0.985121i | \(-0.445021\pi\) | ||||
0.171864 | + | 0.985121i | \(0.445021\pi\) | |||||||
\(938\) | −762.340 | + | 482.690i | −0.812729 | + | 0.514595i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −559.527 | − | 969.129i | −0.595241 | − | 1.03099i | ||||
\(941\) | − | 374.469i | − | 0.397948i | −0.980005 | − | 0.198974i | \(-0.936239\pi\) | ||
0.980005 | − | 0.198974i | \(-0.0637610\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1568.86 | −1.66369 | ||||||||
\(944\) | − | 1388.19i | − | 1.47054i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 658.108 | 0.695674 | ||||||||
\(947\) | − | 164.942i | − | 0.174173i | −0.996201 | − | 0.0870865i | \(-0.972244\pi\) | ||
0.996201 | − | 0.0870865i | \(-0.0277556\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −22.3780 | −0.0235806 | ||||||||
\(950\) | 693.577 | − | 400.437i | 0.730081 | − | 0.421513i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −233.471 | + | 445.465i | −0.245242 | + | 0.467926i | ||||
\(953\) | − | 1354.42i | − | 1.42122i | −0.703586 | − | 0.710610i | \(-0.748419\pi\) | ||
0.703586 | − | 0.710610i | \(-0.251581\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 503.291 | + | 871.726i | 0.527006 | + | 0.912802i | ||||
\(956\) | −423.999 | − | 244.796i | −0.443514 | − | 0.256063i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1028.91 | − | 1782.12i | 1.07402 | − | 1.86025i | ||||
\(959\) | 1.90718 | + | 46.6572i | 0.00198871 | + | 0.0486519i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −376.170 | −0.391436 | ||||||||
\(962\) | −8.56012 | + | 4.94218i | −0.00889825 | + | 0.00513741i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −921.557 | + | 1596.18i | −0.955972 | + | 1.65579i | ||||
\(965\) | −961.319 | + | 555.018i | −0.996185 | + | 0.575148i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −344.963 | + | 597.493i | −0.356735 | + | 0.617883i | −0.987413 | − | 0.158161i | \(-0.949443\pi\) |
0.630678 | + | 0.776044i | \(0.282777\pi\) | |||||||
\(968\) | 1970.66 | − | 1137.76i | 2.03581 | − | 1.17538i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 77.7014 | − | 134.583i | 0.0801046 | − | 0.138745i | ||||
\(971\) | 665.293 | + | 384.107i | 0.685163 | + | 0.395579i | 0.801797 | − | 0.597596i | \(-0.203877\pi\) |
−0.116634 | + | 0.993175i | \(0.537211\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −123.125 | + | 5.03292i | −0.126542 | + | 0.00517258i | ||||
\(974\) | −1220.90 | + | 704.889i | −1.25350 | + | 0.723706i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 458.655 | 0.469933 | ||||||||
\(977\) | − | 1386.02i | − | 1.41865i | −0.704880 | − | 0.709326i | \(-0.748999\pi\) | ||
0.704880 | − | 0.709326i | \(-0.251001\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 90.4109 | + | 156.596i | 0.0923502 | + | 0.159955i | ||||
\(980\) | 224.416 | + | 2740.47i | 0.228996 | + | 2.79640i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −955.379 | + | 1654.77i | −0.972891 | + | 1.68510i | ||||
\(983\) | −454.966 | − | 262.675i | −0.462834 | − | 0.267217i | 0.250401 | − | 0.968142i | \(-0.419438\pi\) |
−0.713235 | + | 0.700925i | \(0.752771\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −285.830 | − | 495.072i | −0.290183 | − | 0.502611i | ||||
\(986\) | 404.095 | + | 233.304i | 0.409832 | + | 0.236617i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −36.6177 | − | 63.4238i | −0.0370625 | − | 0.0641941i | ||||
\(989\) | 1561.73 | + | 901.663i | 1.57910 | + | 0.911692i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 214.326 | + | 371.223i | 0.216272 | + | 0.374594i | 0.953665 | − | 0.300869i | \(-0.0972768\pi\) |
−0.737393 | + | 0.675464i | \(0.763943\pi\) | |||||||
\(992\) | − | 1392.35i | − | 1.40358i | ||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1184.99 | + | 1871.52i | 1.19214 | + | 1.88282i | ||||
\(995\) | −1294.55 | − | 747.409i | −1.30106 | − | 0.751165i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 598.383 | − | 1036.43i | 0.600184 | − | 1.03955i | −0.392609 | − | 0.919705i | \(-0.628427\pi\) |
0.992793 | − | 0.119843i | \(-0.0382392\pi\) | |||||||
\(998\) | 198.991 | − | 114.888i | 0.199390 | − | 0.115118i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 189.3.j.b.44.1 | 22 | ||
3.2 | odd | 2 | 63.3.j.b.23.11 | yes | 22 | ||
7.4 | even | 3 | 189.3.n.b.179.11 | 22 | |||
9.2 | odd | 6 | 189.3.n.b.170.11 | 22 | |||
9.7 | even | 3 | 63.3.n.b.2.1 | yes | 22 | ||
21.2 | odd | 6 | 441.3.r.g.50.11 | 22 | |||
21.5 | even | 6 | 441.3.r.f.50.11 | 22 | |||
21.11 | odd | 6 | 63.3.n.b.32.1 | yes | 22 | ||
21.17 | even | 6 | 441.3.n.f.410.1 | 22 | |||
21.20 | even | 2 | 441.3.j.f.275.11 | 22 | |||
63.11 | odd | 6 | inner | 189.3.j.b.116.11 | 22 | ||
63.16 | even | 3 | 441.3.r.g.344.11 | 22 | |||
63.25 | even | 3 | 63.3.j.b.11.1 | ✓ | 22 | ||
63.34 | odd | 6 | 441.3.n.f.128.1 | 22 | |||
63.52 | odd | 6 | 441.3.j.f.263.1 | 22 | |||
63.61 | odd | 6 | 441.3.r.f.344.11 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
63.3.j.b.11.1 | ✓ | 22 | 63.25 | even | 3 | ||
63.3.j.b.23.11 | yes | 22 | 3.2 | odd | 2 | ||
63.3.n.b.2.1 | yes | 22 | 9.7 | even | 3 | ||
63.3.n.b.32.1 | yes | 22 | 21.11 | odd | 6 | ||
189.3.j.b.44.1 | 22 | 1.1 | even | 1 | trivial | ||
189.3.j.b.116.11 | 22 | 63.11 | odd | 6 | inner | ||
189.3.n.b.170.11 | 22 | 9.2 | odd | 6 | |||
189.3.n.b.179.11 | 22 | 7.4 | even | 3 | |||
441.3.j.f.263.1 | 22 | 63.52 | odd | 6 | |||
441.3.j.f.275.11 | 22 | 21.20 | even | 2 | |||
441.3.n.f.128.1 | 22 | 63.34 | odd | 6 | |||
441.3.n.f.410.1 | 22 | 21.17 | even | 6 | |||
441.3.r.f.50.11 | 22 | 21.5 | even | 6 | |||
441.3.r.f.344.11 | 22 | 63.61 | odd | 6 | |||
441.3.r.g.50.11 | 22 | 21.2 | odd | 6 | |||
441.3.r.g.344.11 | 22 | 63.16 | even | 3 |