Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 27.25 |
Dual form | 27.4.e.a.13.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.592608 | + | 3.36085i | −0.209519 | + | 1.18824i | 0.680650 | + | 0.732608i | \(0.261697\pi\) |
−0.890169 | + | 0.455631i | \(0.849414\pi\) | |||||||
\(3\) | −5.15968 | + | 0.614572i | −0.992981 | + | 0.118275i | ||||
\(4\) | −3.42657 | − | 1.24717i | −0.428322 | − | 0.155896i | ||||
\(5\) | −8.41296 | + | 7.05931i | −0.752478 | + | 0.631404i | −0.936157 | − | 0.351582i | \(-0.885644\pi\) |
0.183679 | + | 0.982986i | \(0.441199\pi\) | |||||||
\(6\) | 0.992184 | − | 17.7051i | 0.0675096 | − | 1.20468i | ||||
\(7\) | 4.14024 | − | 1.50692i | 0.223552 | − | 0.0813663i | −0.227816 | − | 0.973704i | \(-0.573158\pi\) |
0.451368 | + | 0.892338i | \(0.350936\pi\) | |||||||
\(8\) | −7.42861 | + | 12.8667i | −0.328301 | + | 0.568635i | ||||
\(9\) | 26.2446 | − | 6.34199i | 0.972022 | − | 0.234889i | ||||
\(10\) | −18.7397 | − | 32.4581i | −0.592601 | − | 1.02641i | ||||
\(11\) | 44.1840 | + | 37.0748i | 1.21109 | + | 1.01622i | 0.999242 | + | 0.0389212i | \(0.0123921\pi\) |
0.211846 | + | 0.977303i | \(0.432052\pi\) | |||||||
\(12\) | 18.4465 | + | 4.32912i | 0.443754 | + | 0.104143i | ||||
\(13\) | 6.80702 | + | 38.6045i | 0.145225 | + | 0.823613i | 0.967186 | + | 0.254069i | \(0.0817690\pi\) |
−0.821961 | + | 0.569544i | \(0.807120\pi\) | |||||||
\(14\) | 2.61100 | + | 14.8077i | 0.0498443 | + | 0.282681i | ||||
\(15\) | 39.0697 | − | 41.5942i | 0.672517 | − | 0.715971i | ||||
\(16\) | −61.1878 | − | 51.3427i | −0.956060 | − | 0.802229i | ||||
\(17\) | −44.7356 | − | 77.4844i | −0.638235 | − | 1.10545i | −0.985820 | − | 0.167806i | \(-0.946332\pi\) |
0.347585 | − | 0.937648i | \(-0.387002\pi\) | |||||||
\(18\) | 5.76171 | + | 91.9624i | 0.0754471 | + | 1.20421i | ||||
\(19\) | 29.6770 | − | 51.4022i | 0.358336 | − | 0.620656i | −0.629347 | − | 0.777124i | \(-0.716678\pi\) |
0.987683 | + | 0.156468i | \(0.0500109\pi\) | |||||||
\(20\) | 37.6318 | − | 13.6969i | 0.420736 | − | 0.153135i | ||||
\(21\) | −20.4362 | + | 10.3197i | −0.212359 | + | 0.107236i | ||||
\(22\) | −150.786 | + | 126.525i | −1.46126 | + | 1.22615i | ||||
\(23\) | 21.4850 | + | 7.81991i | 0.194780 | + | 0.0708941i | 0.437568 | − | 0.899185i | \(-0.355840\pi\) |
−0.242788 | + | 0.970079i | \(0.578062\pi\) | |||||||
\(24\) | 30.4217 | − | 70.9536i | 0.258742 | − | 0.603473i | ||||
\(25\) | −0.762006 | + | 4.32155i | −0.00609604 | + | 0.0345724i | ||||
\(26\) | −133.778 | −1.00908 | ||||||||
\(27\) | −131.516 | + | 48.8519i | −0.937418 | + | 0.348205i | ||||
\(28\) | −16.0662 | −0.108437 | ||||||||
\(29\) | −10.2292 | + | 58.0124i | −0.0655002 | + | 0.371470i | 0.934384 | + | 0.356267i | \(0.115951\pi\) |
−0.999884 | + | 0.0152033i | \(0.995160\pi\) | |||||||
\(30\) | 116.639 | + | 155.956i | 0.709840 | + | 0.949121i | ||||
\(31\) | 313.847 | + | 114.231i | 1.81834 | + | 0.661823i | 0.995632 | + | 0.0933628i | \(0.0297616\pi\) |
0.822711 | + | 0.568460i | \(0.192461\pi\) | |||||||
\(32\) | 117.765 | − | 98.8166i | 0.650566 | − | 0.545889i | ||||
\(33\) | −250.760 | − | 164.140i | −1.32278 | − | 0.865850i | ||||
\(34\) | 286.924 | − | 104.432i | 1.44727 | − | 0.526762i | ||||
\(35\) | −24.1938 | + | 41.9050i | −0.116843 | + | 0.202378i | ||||
\(36\) | −97.8386 | − | 11.0002i | −0.452956 | − | 0.0509268i | ||||
\(37\) | −47.4944 | − | 82.2627i | −0.211028 | − | 0.365511i | 0.741009 | − | 0.671495i | \(-0.234348\pi\) |
−0.952036 | + | 0.305985i | \(0.901014\pi\) | |||||||
\(38\) | 155.168 | + | 130.201i | 0.662410 | + | 0.555828i | ||||
\(39\) | −58.8473 | − | 195.004i | −0.241618 | − | 0.800655i | ||||
\(40\) | −28.3337 | − | 160.688i | −0.111999 | − | 0.635176i | ||||
\(41\) | −62.8116 | − | 356.222i | −0.239257 | − | 1.35689i | −0.833461 | − | 0.552578i | \(-0.813644\pi\) |
0.594204 | − | 0.804314i | \(-0.297467\pi\) | |||||||
\(42\) | −22.5724 | − | 74.7986i | −0.0829284 | − | 0.274802i | ||||
\(43\) | 361.279 | + | 303.149i | 1.28127 | + | 1.07511i | 0.993068 | + | 0.117540i | \(0.0375007\pi\) |
0.288198 | + | 0.957571i | \(0.406944\pi\) | |||||||
\(44\) | −105.161 | − | 182.144i | −0.360310 | − | 0.624075i | ||||
\(45\) | −176.025 | + | 238.624i | −0.583116 | + | 0.790487i | ||||
\(46\) | −39.0137 | + | 67.5738i | −0.125049 | + | 0.216591i | ||||
\(47\) | −222.580 | + | 81.0123i | −0.690778 | + | 0.251423i | −0.663468 | − | 0.748204i | \(-0.730916\pi\) |
−0.0273097 | + | 0.999627i | \(0.508694\pi\) | |||||||
\(48\) | 347.263 | + | 227.307i | 1.04423 | + | 0.683521i | ||||
\(49\) | −247.882 | + | 207.998i | −0.722689 | + | 0.606408i | ||||
\(50\) | −14.0725 | − | 5.12197i | −0.0398030 | − | 0.0144871i | ||||
\(51\) | 278.441 | + | 372.302i | 0.764502 | + | 1.02221i | ||||
\(52\) | 24.8217 | − | 140.771i | 0.0661951 | − | 0.375411i | ||||
\(53\) | 391.866 | 1.01560 | 0.507802 | − | 0.861474i | \(-0.330458\pi\) | ||||
0.507802 | + | 0.861474i | \(0.330458\pi\) | |||||||
\(54\) | −86.2462 | − | 470.956i | −0.217345 | − | 1.18683i | ||||
\(55\) | −633.441 | −1.55297 | ||||||||
\(56\) | −11.3671 | + | 64.4658i | −0.0271248 | + | 0.153832i | ||||
\(57\) | −121.534 | + | 283.457i | −0.282413 | + | 0.658682i | ||||
\(58\) | −188.909 | − | 68.7573i | −0.427672 | − | 0.155660i | ||||
\(59\) | 429.455 | − | 360.355i | 0.947631 | − | 0.795157i | −0.0312660 | − | 0.999511i | \(-0.509954\pi\) |
0.978897 | + | 0.204354i | \(0.0655094\pi\) | |||||||
\(60\) | −185.750 | + | 93.7988i | −0.399671 | + | 0.201823i | ||||
\(61\) | −158.589 | + | 57.7218i | −0.332874 | + | 0.121156i | −0.503050 | − | 0.864258i | \(-0.667789\pi\) |
0.170176 | + | 0.985414i | \(0.445566\pi\) | |||||||
\(62\) | −569.902 | + | 987.099i | −1.16738 | + | 2.02196i | ||||
\(63\) | 99.1021 | − | 65.8060i | 0.198186 | − | 0.131600i | ||||
\(64\) | −57.1812 | − | 99.0407i | −0.111682 | − | 0.193439i | ||||
\(65\) | −329.788 | − | 276.725i | −0.629311 | − | 0.528055i | ||||
\(66\) | 700.251 | − | 745.497i | 1.30598 | − | 1.39037i | ||||
\(67\) | −94.5245 | − | 536.075i | −0.172358 | − | 0.977493i | −0.941149 | − | 0.337992i | \(-0.890252\pi\) |
0.768791 | − | 0.639501i | \(-0.220859\pi\) | |||||||
\(68\) | 56.6537 | + | 321.299i | 0.101033 | + | 0.572989i | ||||
\(69\) | −115.662 | − | 27.1441i | −0.201798 | − | 0.0473590i | ||||
\(70\) | −126.499 | − | 106.145i | −0.215993 | − | 0.181239i | ||||
\(71\) | −97.0579 | − | 168.109i | −0.162235 | − | 0.280998i | 0.773435 | − | 0.633875i | \(-0.218537\pi\) |
−0.935670 | + | 0.352877i | \(0.885203\pi\) | |||||||
\(72\) | −113.360 | + | 384.794i | −0.185550 | + | 0.629840i | ||||
\(73\) | −80.6653 | + | 139.716i | −0.129331 | + | 0.224008i | −0.923418 | − | 0.383797i | \(-0.874616\pi\) |
0.794087 | + | 0.607805i | \(0.207950\pi\) | |||||||
\(74\) | 304.618 | − | 110.872i | 0.478529 | − | 0.174170i | ||||
\(75\) | 1.27580 | − | 22.7661i | 0.00196422 | − | 0.0350507i | ||||
\(76\) | −165.798 | + | 139.121i | −0.250241 | + | 0.209977i | ||||
\(77\) | 238.801 | + | 86.9166i | 0.353428 | + | 0.128637i | ||||
\(78\) | 690.251 | − | 82.2161i | 1.00199 | − | 0.119348i | ||||
\(79\) | 63.1254 | − | 358.002i | 0.0899008 | − | 0.509853i | −0.906290 | − | 0.422656i | \(-0.861098\pi\) |
0.996191 | − | 0.0871971i | \(-0.0277910\pi\) | |||||||
\(80\) | 877.215 | 1.22594 | ||||||||
\(81\) | 648.558 | − | 332.886i | 0.889655 | − | 0.456634i | ||||
\(82\) | 1234.43 | 1.66244 | ||||||||
\(83\) | −98.1145 | + | 556.435i | −0.129753 | + | 0.735864i | 0.848618 | + | 0.529006i | \(0.177435\pi\) |
−0.978371 | + | 0.206858i | \(0.933676\pi\) | |||||||
\(84\) | 82.8966 | − | 9.87386i | 0.107676 | − | 0.0128253i | ||||
\(85\) | 923.346 | + | 336.070i | 1.17825 | + | 0.428847i | ||||
\(86\) | −1232.93 | + | 1034.55i | −1.54594 | + | 1.29720i | ||||
\(87\) | 17.1263 | − | 305.612i | 0.0211050 | − | 0.376610i | ||||
\(88\) | −805.257 | + | 293.090i | −0.975462 | + | 0.355039i | ||||
\(89\) | 187.611 | − | 324.952i | 0.223446 | − | 0.387021i | −0.732406 | − | 0.680868i | \(-0.761603\pi\) |
0.955852 | + | 0.293848i | \(0.0949359\pi\) | |||||||
\(90\) | −697.665 | − | 733.003i | −0.817114 | − | 0.858503i | ||||
\(91\) | 86.3568 | + | 149.574i | 0.0994797 | + | 0.172304i | ||||
\(92\) | −63.8673 | − | 53.5910i | −0.0723763 | − | 0.0607309i | ||||
\(93\) | −1689.55 | − | 396.514i | −1.88386 | − | 0.442114i | ||||
\(94\) | −140.368 | − | 796.065i | −0.154019 | − | 0.873487i | ||||
\(95\) | 113.192 | + | 641.944i | 0.122245 | + | 0.693285i | ||||
\(96\) | −546.900 | + | 582.237i | −0.581435 | + | 0.619003i | ||||
\(97\) | −446.844 | − | 374.947i | −0.467734 | − | 0.392475i | 0.378233 | − | 0.925710i | \(-0.376532\pi\) |
−0.845967 | + | 0.533235i | \(0.820976\pi\) | |||||||
\(98\) | −552.153 | − | 956.357i | −0.569141 | − | 0.985782i | ||||
\(99\) | 1394.72 | + | 692.798i | 1.41590 | + | 0.703321i | ||||
\(100\) | 8.00078 | − | 13.8578i | 0.00800078 | − | 0.0138578i | ||||
\(101\) | −46.3214 | + | 16.8596i | −0.0456351 | + | 0.0166098i | −0.364737 | − | 0.931111i | \(-0.618841\pi\) |
0.319102 | + | 0.947720i | \(0.396619\pi\) | |||||||
\(102\) | −1416.26 | + | 715.170i | −1.37481 | + | 0.694239i | ||||
\(103\) | 276.401 | − | 231.928i | 0.264414 | − | 0.221870i | −0.500935 | − | 0.865485i | \(-0.667011\pi\) |
0.765349 | + | 0.643615i | \(0.222566\pi\) | |||||||
\(104\) | −547.281 | − | 199.194i | −0.516012 | − | 0.187813i | ||||
\(105\) | 99.0789 | − | 231.085i | 0.0920867 | − | 0.214777i | ||||
\(106\) | −232.223 | + | 1317.00i | −0.212788 | + | 1.20678i | ||||
\(107\) | 1057.66 | 0.955583 | 0.477792 | − | 0.878473i | \(-0.341437\pi\) | ||||
0.477792 | + | 0.878473i | \(0.341437\pi\) | |||||||
\(108\) | 511.576 | − | 3.37144i | 0.455800 | − | 0.00300386i | ||||
\(109\) | 9.04341 | 0.00794680 | 0.00397340 | − | 0.999992i | \(-0.498735\pi\) | ||||
0.00397340 | + | 0.999992i | \(0.498735\pi\) | |||||||
\(110\) | 375.382 | − | 2128.90i | 0.325375 | − | 1.84529i | ||||
\(111\) | 295.612 | + | 395.260i | 0.252777 | + | 0.337986i | ||||
\(112\) | −330.702 | − | 120.366i | −0.279004 | − | 0.101549i | ||||
\(113\) | −154.128 | + | 129.329i | −0.128311 | + | 0.107666i | −0.704685 | − | 0.709520i | \(-0.748912\pi\) |
0.576374 | + | 0.817186i | \(0.304467\pi\) | |||||||
\(114\) | −880.635 | − | 576.436i | −0.723500 | − | 0.473580i | ||||
\(115\) | −235.956 | + | 85.8809i | −0.191330 | + | 0.0696386i | ||||
\(116\) | 107.402 | − | 186.026i | 0.0859660 | − | 0.148898i | ||||
\(117\) | 423.477 | + | 969.990i | 0.334619 | + | 0.766458i | ||||
\(118\) | 956.601 | + | 1656.88i | 0.746290 | + | 1.29261i | ||||
\(119\) | −301.980 | − | 253.391i | −0.232625 | − | 0.195196i | ||||
\(120\) | 244.947 | + | 811.687i | 0.186338 | + | 0.617471i | ||||
\(121\) | 346.561 | + | 1965.44i | 0.260376 | + | 1.47667i | ||||
\(122\) | −100.013 | − | 567.201i | −0.0742192 | − | 0.420918i | ||||
\(123\) | 543.012 | + | 1799.39i | 0.398063 | + | 1.31907i | ||||
\(124\) | −932.955 | − | 782.842i | −0.675660 | − | 0.566946i | ||||
\(125\) | −710.493 | − | 1230.61i | −0.508387 | − | 0.880552i | ||||
\(126\) | 162.435 | + | 372.064i | 0.114848 | + | 0.263064i | ||||
\(127\) | 619.475 | − | 1072.96i | 0.432831 | − | 0.749685i | −0.564285 | − | 0.825580i | \(-0.690848\pi\) |
0.997116 | + | 0.0758949i | \(0.0241813\pi\) | |||||||
\(128\) | 1522.43 | − | 554.118i | 1.05129 | − | 0.382638i | ||||
\(129\) | −2050.39 | − | 1342.12i | −1.39943 | − | 0.916023i | ||||
\(130\) | 1125.47 | − | 944.379i | 0.759308 | − | 0.637135i | ||||
\(131\) | −616.689 | − | 224.457i | −0.411301 | − | 0.149701i | 0.128079 | − | 0.991764i | \(-0.459119\pi\) |
−0.539380 | + | 0.842063i | \(0.681341\pi\) | |||||||
\(132\) | 654.539 | + | 875.178i | 0.431593 | + | 0.577079i | ||||
\(133\) | 45.4110 | − | 257.538i | 0.0296063 | − | 0.167905i | ||||
\(134\) | 1857.68 | 1.19761 | ||||||||
\(135\) | 761.579 | − | 1339.40i | 0.485528 | − | 0.853907i | ||||
\(136\) | 1329.29 | 0.838133 | ||||||||
\(137\) | −8.59676 | + | 48.7546i | −0.00536110 | + | 0.0304043i | −0.987371 | − | 0.158425i | \(-0.949358\pi\) |
0.982010 | + | 0.188830i | \(0.0604694\pi\) | |||||||
\(138\) | 159.769 | − | 372.636i | 0.0985542 | − | 0.229861i | ||||
\(139\) | −1881.50 | − | 684.810i | −1.14811 | − | 0.417876i | −0.303271 | − | 0.952904i | \(-0.598079\pi\) |
−0.844834 | + | 0.535028i | \(0.820301\pi\) | |||||||
\(140\) | 135.165 | − | 113.417i | 0.0815964 | − | 0.0684675i | ||||
\(141\) | 1098.65 | − | 554.789i | 0.656193 | − | 0.331359i | ||||
\(142\) | 622.507 | − | 226.574i | 0.367884 | − | 0.133899i | ||||
\(143\) | −1130.49 | + | 1958.07i | −0.661094 | + | 1.14505i | ||||
\(144\) | −1931.46 | − | 959.415i | −1.11775 | − | 0.555217i | ||||
\(145\) | −323.470 | − | 560.267i | −0.185260 | − | 0.320880i | ||||
\(146\) | −421.762 | − | 353.901i | −0.239077 | − | 0.200610i | ||||
\(147\) | 1151.16 | − | 1225.55i | 0.645894 | − | 0.687628i | ||||
\(148\) | 60.1474 | + | 341.113i | 0.0334060 | + | 0.189455i | ||||
\(149\) | 460.660 | + | 2612.53i | 0.253280 | + | 1.43642i | 0.800449 | + | 0.599401i | \(0.204594\pi\) |
−0.547169 | + | 0.837022i | \(0.684294\pi\) | |||||||
\(150\) | 75.7574 | + | 17.7792i | 0.0412371 | + | 0.00967775i | ||||
\(151\) | 321.286 | + | 269.591i | 0.173152 | + | 0.145292i | 0.725245 | − | 0.688491i | \(-0.241726\pi\) |
−0.552093 | + | 0.833782i | \(0.686171\pi\) | |||||||
\(152\) | 440.919 | + | 763.693i | 0.235284 | + | 0.407524i | ||||
\(153\) | −1665.47 | − | 1749.83i | −0.880037 | − | 0.924613i | ||||
\(154\) | −433.629 | + | 751.068i | −0.226901 | + | 0.393005i | ||||
\(155\) | −3446.78 | + | 1254.52i | −1.78614 | + | 0.650102i | ||||
\(156\) | −41.5581 | + | 741.586i | −0.0213289 | + | 0.380605i | ||||
\(157\) | 1896.89 | − | 1591.68i | 0.964255 | − | 0.809106i | −0.0173851 | − | 0.999849i | \(-0.505534\pi\) |
0.981640 | + | 0.190743i | \(0.0610897\pi\) | |||||||
\(158\) | 1165.78 | + | 424.310i | 0.586991 | + | 0.213647i | ||||
\(159\) | −2021.91 | + | 240.830i | −1.00848 | + | 0.120120i | ||||
\(160\) | −293.175 | + | 1662.68i | −0.144860 | + | 0.821540i | ||||
\(161\) | 100.737 | 0.0493118 | ||||||||
\(162\) | 734.439 | + | 2376.98i | 0.356191 | + | 1.15280i | ||||
\(163\) | −2583.99 | −1.24168 | −0.620840 | − | 0.783938i | \(-0.713208\pi\) | ||||
−0.620840 | + | 0.783938i | \(0.713208\pi\) | |||||||
\(164\) | −229.041 | + | 1298.96i | −0.109056 | + | 0.618486i | ||||
\(165\) | 3268.35 | − | 389.295i | 1.54207 | − | 0.183676i | ||||
\(166\) | −1811.95 | − | 659.496i | −0.847196 | − | 0.308354i | ||||
\(167\) | 485.949 | − | 407.759i | 0.225173 | − | 0.188942i | −0.523221 | − | 0.852197i | \(-0.675270\pi\) |
0.748394 | + | 0.663255i | \(0.230825\pi\) | |||||||
\(168\) | 19.0315 | − | 339.609i | 0.00873994 | − | 0.155961i | ||||
\(169\) | 620.532 | − | 225.855i | 0.282445 | − | 0.102802i | ||||
\(170\) | −1676.66 | + | 2904.07i | −0.756437 | + | 1.31019i | ||||
\(171\) | 452.870 | − | 1537.24i | 0.202525 | − | 0.687460i | ||||
\(172\) | −859.869 | − | 1489.34i | −0.381188 | − | 0.660238i | ||||
\(173\) | 1301.36 | + | 1091.97i | 0.571912 | + | 0.479891i | 0.882280 | − | 0.470726i | \(-0.156008\pi\) |
−0.310368 | + | 0.950616i | \(0.600452\pi\) | |||||||
\(174\) | 1016.97 | + | 238.667i | 0.443081 | + | 0.103985i | ||||
\(175\) | 3.35736 | + | 19.0405i | 0.00145024 | + | 0.00822474i | ||||
\(176\) | −800.004 | − | 4537.05i | −0.342628 | − | 1.94314i | ||||
\(177\) | −1994.38 | + | 2123.25i | −0.846933 | + | 0.901656i | ||||
\(178\) | 980.934 | + | 823.101i | 0.413057 | + | 0.346596i | ||||
\(179\) | −324.339 | − | 561.772i | −0.135432 | − | 0.234574i | 0.790331 | − | 0.612681i | \(-0.209909\pi\) |
−0.925762 | + | 0.378106i | \(0.876575\pi\) | |||||||
\(180\) | 900.766 | − | 598.129i | 0.372995 | − | 0.247677i | ||||
\(181\) | −1836.50 | + | 3180.92i | −0.754178 | + | 1.30627i | 0.191605 | + | 0.981472i | \(0.438631\pi\) |
−0.945782 | + | 0.324802i | \(0.894702\pi\) | |||||||
\(182\) | −553.872 | + | 201.593i | −0.225581 | + | 0.0821048i | ||||
\(183\) | 782.797 | − | 395.291i | 0.316208 | − | 0.159676i | ||||
\(184\) | −260.221 | + | 218.351i | −0.104259 | + | 0.0874840i | ||||
\(185\) | 980.286 | + | 356.795i | 0.389579 | + | 0.141795i | ||||
\(186\) | 2333.87 | − | 5443.36i | 0.920040 | − | 2.14584i | ||||
\(187\) | 896.118 | − | 5082.14i | 0.350431 | − | 1.98739i | ||||
\(188\) | 863.721 | 0.335071 | ||||||||
\(189\) | −470.893 | + | 400.444i | −0.181230 | + | 0.154116i | ||||
\(190\) | −2224.55 | −0.849401 | ||||||||
\(191\) | −300.125 | + | 1702.09i | −0.113698 | + | 0.644812i | 0.873689 | + | 0.486485i | \(0.161721\pi\) |
−0.987387 | + | 0.158327i | \(0.949390\pi\) | |||||||
\(192\) | 355.904 | + | 475.876i | 0.133777 | + | 0.178872i | ||||
\(193\) | −1021.06 | − | 371.635i | −0.380815 | − | 0.138605i | 0.144518 | − | 0.989502i | \(-0.453837\pi\) |
−0.525333 | + | 0.850897i | \(0.676059\pi\) | |||||||
\(194\) | 1524.94 | − | 1279.58i | 0.564353 | − | 0.473549i | ||||
\(195\) | 1871.67 | + | 1225.14i | 0.687349 | + | 0.449917i | ||||
\(196\) | 1108.80 | − | 403.569i | 0.404080 | − | 0.147073i | ||||
\(197\) | 1804.76 | − | 3125.94i | 0.652711 | − | 1.13053i | −0.329751 | − | 0.944068i | \(-0.606965\pi\) |
0.982462 | − | 0.186461i | \(-0.0597019\pi\) | |||||||
\(198\) | −3154.91 | + | 4276.88i | −1.13237 | + | 1.53507i | ||||
\(199\) | −726.376 | − | 1258.12i | −0.258751 | − | 0.448169i | 0.707157 | − | 0.707057i | \(-0.249977\pi\) |
−0.965908 | + | 0.258887i | \(0.916644\pi\) | |||||||
\(200\) | −49.9436 | − | 41.9076i | −0.0176577 | − | 0.0148166i | ||||
\(201\) | 817.173 | + | 2707.89i | 0.286761 | + | 0.950246i | ||||
\(202\) | −29.2121 | − | 165.670i | −0.0101750 | − | 0.0577055i | ||||
\(203\) | 45.0692 | + | 255.600i | 0.0155824 | + | 0.0883725i | ||||
\(204\) | −489.776 | − | 1622.98i | −0.168094 | − | 0.557017i | ||||
\(205\) | 3043.12 | + | 2553.48i | 1.03678 | + | 0.869964i | ||||
\(206\) | 615.678 | + | 1066.39i | 0.208235 | + | 0.360673i | ||||
\(207\) | 613.460 | + | 68.9725i | 0.205983 | + | 0.0231590i | ||||
\(208\) | 1565.55 | − | 2711.62i | 0.521882 | − | 0.903927i | ||||
\(209\) | 3216.97 | − | 1170.88i | 1.06470 | − | 0.387520i | ||||
\(210\) | 717.927 | + | 469.932i | 0.235913 | + | 0.154421i | ||||
\(211\) | −2476.58 | + | 2078.10i | −0.808031 | + | 0.678019i | −0.950137 | − | 0.311833i | \(-0.899057\pi\) |
0.142106 | + | 0.989851i | \(0.454613\pi\) | |||||||
\(212\) | −1342.76 | − | 488.724i | −0.435005 | − | 0.158329i | ||||
\(213\) | 604.103 | + | 807.740i | 0.194331 | + | 0.259838i | ||||
\(214\) | −626.775 | + | 3554.62i | −0.200212 | + | 1.13546i | ||||
\(215\) | −5179.44 | −1.64295 | ||||||||
\(216\) | 348.418 | − | 2055.08i | 0.109754 | − | 0.647365i | ||||
\(217\) | 1471.54 | 0.460344 | ||||||||
\(218\) | −5.35920 | + | 30.3935i | −0.00166500 | + | 0.00944270i | ||||
\(219\) | 330.341 | − | 770.466i | 0.101929 | − | 0.237732i | ||||
\(220\) | 2170.53 | + | 790.009i | 0.665169 | + | 0.242102i | ||||
\(221\) | 2686.73 | − | 2254.44i | 0.817779 | − | 0.686198i | ||||
\(222\) | −1503.59 | + | 759.273i | −0.454570 | + | 0.229545i | ||||
\(223\) | −1855.19 | + | 675.235i | −0.557098 | + | 0.202767i | −0.605197 | − | 0.796075i | \(-0.706906\pi\) |
0.0480993 | + | 0.998843i | \(0.484684\pi\) | |||||||
\(224\) | 338.666 | − | 586.587i | 0.101018 | − | 0.174969i | ||||
\(225\) | 7.40870 | + | 118.250i | 0.00219517 | + | 0.0350370i | ||||
\(226\) | −343.317 | − | 594.642i | −0.101049 | − | 0.175022i | ||||
\(227\) | 1207.65 | + | 1013.34i | 0.353105 | + | 0.296290i | 0.802035 | − | 0.597277i | \(-0.203751\pi\) |
−0.448931 | + | 0.893567i | \(0.648195\pi\) | |||||||
\(228\) | 769.964 | − | 819.714i | 0.223650 | − | 0.238100i | ||||
\(229\) | 1123.45 | + | 6371.42i | 0.324192 | + | 1.83858i | 0.515295 | + | 0.857013i | \(0.327682\pi\) |
−0.191103 | + | 0.981570i | \(0.561206\pi\) | |||||||
\(230\) | −148.803 | − | 843.906i | −0.0426600 | − | 0.241937i | ||||
\(231\) | −1285.56 | − | 301.701i | −0.366162 | − | 0.0859328i | ||||
\(232\) | −670.442 | − | 562.568i | −0.189727 | − | 0.159200i | ||||
\(233\) | −1287.98 | − | 2230.85i | −0.362139 | − | 0.627244i | 0.626173 | − | 0.779684i | \(-0.284620\pi\) |
−0.988313 | + | 0.152440i | \(0.951287\pi\) | |||||||
\(234\) | −3510.94 | + | 848.418i | −0.980844 | + | 0.237021i | ||||
\(235\) | 1300.66 | − | 2252.81i | 0.361046 | − | 0.625350i | ||||
\(236\) | −1920.98 | + | 699.180i | −0.529853 | + | 0.192851i | ||||
\(237\) | −105.689 | + | 1885.97i | −0.0289672 | + | 0.516907i | ||||
\(238\) | 1030.56 | − | 864.746i | 0.280679 | − | 0.235517i | ||||
\(239\) | 142.381 | + | 51.8223i | 0.0385349 | + | 0.0140255i | 0.361216 | − | 0.932482i | \(-0.382362\pi\) |
−0.322681 | + | 0.946508i | \(0.604584\pi\) | |||||||
\(240\) | −4526.15 | + | 539.112i | −1.21734 | + | 0.144998i | ||||
\(241\) | 995.577 | − | 5646.20i | 0.266103 | − | 1.50914i | −0.499774 | − | 0.866156i | \(-0.666584\pi\) |
0.765877 | − | 0.642987i | \(-0.222305\pi\) | |||||||
\(242\) | −6810.93 | −1.80919 | ||||||||
\(243\) | −3141.77 | + | 2116.17i | −0.829402 | + | 0.558652i | ||||
\(244\) | 615.407 | 0.161465 | ||||||||
\(245\) | 617.102 | − | 3499.76i | 0.160919 | − | 0.912618i | ||||
\(246\) | −6369.27 | + | 758.648i | −1.65077 | + | 0.196624i | ||||
\(247\) | 2186.37 | + | 795.772i | 0.563219 | + | 0.204995i | ||||
\(248\) | −3801.23 | + | 3189.61i | −0.973300 | + | 0.816696i | ||||
\(249\) | 164.270 | − | 2931.33i | 0.0418080 | − | 0.746045i | ||||
\(250\) | 4556.93 | − | 1658.59i | 1.15282 | − | 0.419593i | ||||
\(251\) | −352.490 | + | 610.530i | −0.0886413 | + | 0.153531i | −0.906937 | − | 0.421266i | \(-0.861586\pi\) |
0.818296 | + | 0.574797i | \(0.194919\pi\) | |||||||
\(252\) | −421.652 | + | 101.892i | −0.105403 | + | 0.0254706i | ||||
\(253\) | 659.373 | + | 1142.07i | 0.163851 | + | 0.283799i | ||||
\(254\) | 3238.96 | + | 2717.81i | 0.800119 | + | 0.671380i | ||||
\(255\) | −4970.71 | − | 1166.55i | −1.22070 | − | 0.286480i | ||||
\(256\) | 801.234 | + | 4544.02i | 0.195614 | + | 1.10938i | ||||
\(257\) | 130.772 | + | 741.644i | 0.0317406 | + | 0.180010i | 0.996556 | − | 0.0829166i | \(-0.0264235\pi\) |
−0.964816 | + | 0.262926i | \(0.915312\pi\) | |||||||
\(258\) | 5725.73 | − | 6095.69i | 1.38166 | − | 1.47094i | ||||
\(259\) | −320.602 | − | 269.017i | −0.0769160 | − | 0.0645402i | ||||
\(260\) | 784.920 | + | 1359.52i | 0.187226 | + | 0.324285i | ||||
\(261\) | 99.4543 | + | 1587.39i | 0.0235865 | + | 0.376463i | ||||
\(262\) | 1119.82 | − | 1939.58i | 0.264056 | − | 0.457359i | ||||
\(263\) | 5836.63 | − | 2124.36i | 1.36845 | − | 0.498074i | 0.449792 | − | 0.893133i | \(-0.351498\pi\) |
0.918656 | + | 0.395059i | \(0.129276\pi\) | |||||||
\(264\) | 3974.74 | − | 2007.14i | 0.926623 | − | 0.467920i | ||||
\(265\) | −3296.76 | + | 2766.31i | −0.764219 | + | 0.641256i | ||||
\(266\) | 838.637 | + | 305.239i | 0.193309 | + | 0.0703586i | ||||
\(267\) | −768.307 | + | 1791.95i | −0.176103 | + | 0.410732i | ||||
\(268\) | −344.682 | + | 1954.79i | −0.0785627 | + | 0.445551i | ||||
\(269\) | 3724.81 | 0.844259 | 0.422130 | − | 0.906535i | \(-0.361283\pi\) | ||||
0.422130 | + | 0.906535i | \(0.361283\pi\) | |||||||
\(270\) | 4050.21 | + | 3353.29i | 0.912918 | + | 0.755833i | ||||
\(271\) | 5353.13 | 1.19992 | 0.599962 | − | 0.800028i | \(-0.295182\pi\) | ||||
0.599962 | + | 0.800028i | \(0.295182\pi\) | |||||||
\(272\) | −1240.98 | + | 7037.95i | −0.276638 | + | 1.56889i | ||||
\(273\) | −537.498 | − | 718.683i | −0.119161 | − | 0.159329i | ||||
\(274\) | −158.762 | − | 57.7848i | −0.0350043 | − | 0.0127405i | ||||
\(275\) | −193.889 | + | 162.692i | −0.0425161 | + | 0.0356753i | ||||
\(276\) | 362.470 | + | 237.261i | 0.0790512 | + | 0.0517444i | ||||
\(277\) | −2818.41 | + | 1025.82i | −0.611343 | + | 0.222511i | −0.629091 | − | 0.777332i | \(-0.716573\pi\) |
0.0177478 | + | 0.999842i | \(0.494350\pi\) | |||||||
\(278\) | 3416.53 | − | 5917.61i | 0.737086 | − | 1.27667i | ||||
\(279\) | 8961.25 | + | 1007.53i | 1.92292 | + | 0.216198i | ||||
\(280\) | −359.453 | − | 622.591i | −0.0767194 | − | 0.132882i | ||||
\(281\) | −5654.94 | − | 4745.06i | −1.20052 | − | 1.00735i | −0.999615 | − | 0.0277427i | \(-0.991168\pi\) |
−0.200903 | − | 0.979611i | \(-0.564387\pi\) | |||||||
\(282\) | 1213.49 | + | 4021.17i | 0.256250 | + | 0.849140i | ||||
\(283\) | −1527.10 | − | 8660.59i | −0.320765 | − | 1.81915i | −0.537903 | − | 0.843007i | \(-0.680783\pi\) |
0.217138 | − | 0.976141i | \(-0.430328\pi\) | |||||||
\(284\) | 122.915 | + | 697.086i | 0.0256819 | + | 0.145649i | ||||
\(285\) | −978.556 | − | 3242.66i | −0.203385 | − | 0.673960i | ||||
\(286\) | −5910.84 | − | 4959.78i | −1.22208 | − | 1.02545i | ||||
\(287\) | −796.856 | − | 1380.19i | −0.163892 | − | 0.283869i | ||||
\(288\) | 2464.00 | − | 3340.27i | 0.504141 | − | 0.683427i | ||||
\(289\) | −1546.06 | + | 2677.85i | −0.314687 | + | 0.545053i | ||||
\(290\) | 2074.66 | − | 755.116i | 0.420098 | − | 0.152903i | ||||
\(291\) | 2536.01 | + | 1659.99i | 0.510871 | + | 0.334399i | ||||
\(292\) | 450.656 | − | 378.145i | 0.0903172 | − | 0.0757851i | ||||
\(293\) | −928.038 | − | 337.778i | −0.185039 | − | 0.0673489i | 0.247839 | − | 0.968801i | \(-0.420280\pi\) |
−0.432878 | + | 0.901452i | \(0.642502\pi\) | |||||||
\(294\) | 3436.68 | + | 4595.16i | 0.681739 | + | 0.911548i | ||||
\(295\) | −1069.12 | + | 6063.31i | −0.211006 | + | 1.19668i | ||||
\(296\) | 1411.27 | 0.277123 | ||||||||
\(297\) | −7622.08 | − | 2717.46i | −1.48915 | − | 0.530919i | ||||
\(298\) | −9053.32 | −1.75988 | ||||||||
\(299\) | −155.635 | + | 882.649i | −0.0301023 | + | 0.170719i | ||||
\(300\) | −32.7649 | + | 76.4186i | −0.00630560 | + | 0.0147068i | ||||
\(301\) | 1952.60 | + | 710.689i | 0.373908 | + | 0.136091i | ||||
\(302\) | −1096.45 | + | 920.033i | −0.208920 | + | 0.175304i | ||||
\(303\) | 228.642 | − | 115.458i | 0.0433503 | − | 0.0218907i | ||||
\(304\) | −4455.00 | + | 1621.49i | −0.840499 | + | 0.305917i | ||||
\(305\) | 926.730 | − | 1605.14i | 0.173982 | − | 0.301345i | ||||
\(306\) | 6867.90 | − | 4560.44i | 1.28305 | − | 0.851971i | ||||
\(307\) | 833.402 | + | 1443.49i | 0.154934 | + | 0.268354i | 0.933035 | − | 0.359786i | \(-0.117150\pi\) |
−0.778101 | + | 0.628139i | \(0.783817\pi\) | |||||||
\(308\) | −709.871 | − | 595.652i | −0.131327 | − | 0.110196i | ||||
\(309\) | −1283.61 | + | 1366.54i | −0.236316 | + | 0.251586i | ||||
\(310\) | −2173.68 | − | 12327.5i | −0.398247 | − | 2.25857i | ||||
\(311\) | 740.442 | + | 4199.25i | 0.135005 | + | 0.765652i | 0.974856 | + | 0.222835i | \(0.0715312\pi\) |
−0.839851 | + | 0.542817i | \(0.817358\pi\) | |||||||
\(312\) | 2946.21 | + | 691.433i | 0.534604 | + | 0.125464i | ||||
\(313\) | 1174.22 | + | 985.287i | 0.212047 | + | 0.177929i | 0.742625 | − | 0.669708i | \(-0.233581\pi\) |
−0.530578 | + | 0.847636i | \(0.678025\pi\) | |||||||
\(314\) | 4225.27 | + | 7318.39i | 0.759382 | + | 1.31529i | ||||
\(315\) | −369.197 | + | 1253.22i | −0.0660377 | + | 0.224161i | ||||
\(316\) | −662.794 | + | 1147.99i | −0.117991 | + | 0.204366i | ||||
\(317\) | −7649.43 | + | 2784.16i | −1.35531 | + | 0.493294i | −0.914602 | − | 0.404354i | \(-0.867496\pi\) |
−0.440712 | + | 0.897649i | \(0.645274\pi\) | |||||||
\(318\) | 388.804 | − | 6938.04i | 0.0685630 | − | 1.22348i | ||||
\(319\) | −2602.76 | + | 2183.98i | −0.456824 | + | 0.383321i | ||||
\(320\) | 1180.22 | + | 429.566i | 0.206176 | + | 0.0750421i | ||||
\(321\) | −5457.16 | + | 650.006i | −0.948876 | + | 0.113021i | ||||
\(322\) | −59.6977 | + | 338.563i | −0.0103317 | + | 0.0585943i | ||||
\(323\) | −5310.49 | −0.914809 | ||||||||
\(324\) | −2637.50 | + | 331.796i | −0.452246 | + | 0.0568924i | ||||
\(325\) | −172.018 | −0.0293596 | ||||||||
\(326\) | 1531.29 | − | 8684.40i | 0.260155 | − | 1.47541i | ||||
\(327\) | −46.6611 | + | 5.55783i | −0.00789102 | + | 0.000939904i | ||||
\(328\) | 5050.02 | + | 1838.06i | 0.850124 | + | 0.309420i | ||||
\(329\) | −799.454 | + | 670.821i | −0.133968 | + | 0.112412i | ||||
\(330\) | −628.490 | + | 11215.1i | −0.104840 | + | 1.87083i | ||||
\(331\) | 2555.79 | − | 930.231i | 0.424407 | − | 0.154472i | −0.120982 | − | 0.992655i | \(-0.538604\pi\) |
0.545389 | + | 0.838183i | \(0.316382\pi\) | |||||||
\(332\) | 1030.17 | − | 1784.30i | 0.170294 | − | 0.294958i | ||||
\(333\) | −1768.18 | − | 1857.74i | −0.290978 | − | 0.305717i | ||||
\(334\) | 1082.44 | + | 1874.84i | 0.177331 | + | 0.307146i | ||||
\(335\) | 4579.55 | + | 3842.70i | 0.746889 | + | 0.626714i | ||||
\(336\) | 1780.29 | + | 417.808i | 0.289056 | + | 0.0678372i | ||||
\(337\) | −1188.67 | − | 6741.28i | −0.192139 | − | 1.08968i | −0.916434 | − | 0.400185i | \(-0.868946\pi\) |
0.724295 | − | 0.689490i | \(-0.242165\pi\) | |||||||
\(338\) | 391.333 | + | 2219.36i | 0.0629754 | + | 0.357151i | ||||
\(339\) | 715.769 | − | 762.017i | 0.114676 | − | 0.122086i | ||||
\(340\) | −2744.77 | − | 2303.14i | −0.437813 | − | 0.367368i | ||||
\(341\) | 9631.94 | + | 16683.0i | 1.52961 | + | 2.64937i | ||||
\(342\) | 4898.06 | + | 2433.01i | 0.774435 | + | 0.384684i | ||||
\(343\) | −1468.48 | + | 2543.48i | −0.231167 | + | 0.400393i | ||||
\(344\) | −6584.33 | + | 2396.50i | −1.03199 | + | 0.375612i | ||||
\(345\) | 1164.68 | − | 588.130i | 0.181751 | − | 0.0917793i | ||||
\(346\) | −4441.15 | + | 3726.57i | −0.690051 | + | 0.579022i | ||||
\(347\) | −9118.05 | − | 3318.70i | −1.41061 | − | 0.513421i | −0.479302 | − | 0.877650i | \(-0.659110\pi\) |
−0.931309 | + | 0.364229i | \(0.881333\pi\) | |||||||
\(348\) | −439.835 | + | 1025.84i | −0.0677518 | + | 0.158020i | ||||
\(349\) | −47.7106 | + | 270.580i | −0.00731773 | + | 0.0415009i | −0.988248 | − | 0.152859i | \(-0.951152\pi\) |
0.980930 | + | 0.194360i | \(0.0622630\pi\) | |||||||
\(350\) | −65.9820 | −0.0100768 | ||||||||
\(351\) | −2781.13 | − | 4744.58i | −0.422923 | − | 0.721501i | ||||
\(352\) | 8866.93 | 1.34264 | ||||||||
\(353\) | 301.178 | − | 1708.07i | 0.0454110 | − | 0.257539i | −0.953647 | − | 0.300927i | \(-0.902704\pi\) |
0.999058 | + | 0.0433879i | \(0.0138151\pi\) | |||||||
\(354\) | −5954.03 | − | 7961.08i | −0.893935 | − | 1.19527i | ||||
\(355\) | 2003.28 | + | 729.134i | 0.299501 | + | 0.109010i | ||||
\(356\) | −1048.13 | + | 879.488i | −0.156042 | + | 0.130935i | ||||
\(357\) | 1713.85 | + | 1121.83i | 0.254079 | + | 0.166312i | ||||
\(358\) | 2080.24 | − | 757.144i | 0.307106 | − | 0.111777i | ||||
\(359\) | 2140.65 | − | 3707.72i | 0.314706 | − | 0.545087i | −0.664669 | − | 0.747138i | \(-0.731427\pi\) |
0.979375 | + | 0.202051i | \(0.0647608\pi\) | |||||||
\(360\) | −1762.69 | − | 4037.51i | −0.258061 | − | 0.591098i | ||||
\(361\) | 1668.05 | + | 2889.14i | 0.243191 | + | 0.421219i | ||||
\(362\) | −9602.25 | − | 8057.24i | −1.39415 | − | 1.16983i | ||||
\(363\) | −2996.05 | − | 9928.08i | −0.433201 | − | 1.43551i | ||||
\(364\) | −109.363 | − | 620.229i | −0.0157478 | − | 0.0893100i | ||||
\(365\) | −307.667 | − | 1744.87i | −0.0441207 | − | 0.250221i | ||||
\(366\) | 864.621 | + | 2865.11i | 0.123482 | + | 0.409185i | ||||
\(367\) | 3103.10 | + | 2603.81i | 0.441363 | + | 0.370348i | 0.836219 | − | 0.548395i | \(-0.184761\pi\) |
−0.394856 | + | 0.918743i | \(0.629206\pi\) | |||||||
\(368\) | −913.127 | − | 1581.58i | −0.129348 | − | 0.224037i | ||||
\(369\) | −3907.63 | − | 8950.56i | −0.551282 | − | 1.26273i | ||||
\(370\) | −1780.06 | + | 3083.15i | −0.250110 | + | 0.433204i | ||||
\(371\) | 1622.42 | − | 590.513i | 0.227040 | − | 0.0826359i | ||||
\(372\) | 5294.86 | + | 3465.85i | 0.737973 | + | 0.483053i | ||||
\(373\) | 10652.1 | − | 8938.17i | 1.47867 | − | 1.24075i | 0.571085 | − | 0.820891i | \(-0.306523\pi\) |
0.907587 | − | 0.419863i | \(-0.137922\pi\) | |||||||
\(374\) | 16549.2 | + | 6023.43i | 2.28808 | + | 0.832792i | ||||
\(375\) | 4422.21 | + | 5912.90i | 0.608966 | + | 0.814243i | ||||
\(376\) | 611.093 | − | 3465.68i | 0.0838157 | − | 0.475343i | ||||
\(377\) | −2309.17 | −0.315460 | ||||||||
\(378\) | −1066.77 | − | 1819.90i | −0.145156 | − | 0.247634i | ||||
\(379\) | 5487.05 | 0.743669 | 0.371835 | − | 0.928299i | \(-0.378729\pi\) | ||||
0.371835 | + | 0.928299i | \(0.378729\pi\) | |||||||
\(380\) | 412.753 | − | 2340.84i | 0.0557204 | − | 0.316006i | ||||
\(381\) | −2536.88 | + | 5916.86i | −0.341124 | + | 0.795616i | ||||
\(382\) | −5542.62 | − | 2017.35i | −0.742369 | − | 0.270200i | ||||
\(383\) | 6866.35 | − | 5761.55i | 0.916068 | − | 0.768672i | −0.0571957 | − | 0.998363i | \(-0.518216\pi\) |
0.973264 | + | 0.229691i | \(0.0737714\pi\) | |||||||
\(384\) | −7514.70 | + | 3794.72i | −0.998653 | + | 0.504292i | ||||
\(385\) | −2622.60 | + | 954.547i | −0.347169 | + | 0.126359i | ||||
\(386\) | 1854.10 | − | 3211.39i | 0.244484 | − | 0.423459i | ||||
\(387\) | 11404.2 | + | 5664.79i | 1.49795 | + | 0.744076i | ||||
\(388\) | 1063.52 | + | 1842.07i | 0.139155 | + | 0.241024i | ||||
\(389\) | −4414.60 | − | 3704.29i | −0.575396 | − | 0.482815i | 0.308035 | − | 0.951375i | \(-0.400329\pi\) |
−0.883432 | + | 0.468560i | \(0.844773\pi\) | |||||||
\(390\) | −5226.66 | + | 5564.37i | −0.678621 | + | 0.722469i | ||||
\(391\) | −355.225 | − | 2014.58i | −0.0459451 | − | 0.260567i | ||||
\(392\) | −834.833 | − | 4734.57i | −0.107565 | − | 0.610031i | ||||
\(393\) | 3319.87 | + | 779.124i | 0.426120 | + | 0.100004i | ||||
\(394\) | 9436.30 | + | 7918.00i | 1.20658 | + | 1.01244i | ||||
\(395\) | 1996.18 | + | 3457.48i | 0.254275 | + | 0.440417i | ||||
\(396\) | −3915.07 | − | 4113.38i | −0.496817 | − | 0.521982i | ||||
\(397\) | 849.799 | − | 1471.89i | 0.107431 | − | 0.186076i | −0.807298 | − | 0.590144i | \(-0.799071\pi\) |
0.914729 | + | 0.404068i | \(0.132404\pi\) | |||||||
\(398\) | 4658.80 | − | 1695.67i | 0.586746 | − | 0.213558i | ||||
\(399\) | −76.0301 | + | 1356.72i | −0.00953951 | + | 0.170229i | ||||
\(400\) | 268.505 | − | 225.303i | 0.0335632 | − | 0.0281628i | ||||
\(401\) | −9846.96 | − | 3584.00i | −1.22627 | − | 0.446325i | −0.353951 | − | 0.935264i | \(-0.615162\pi\) |
−0.872318 | + | 0.488939i | \(0.837384\pi\) | |||||||
\(402\) | −9585.05 | + | 1141.68i | −1.18920 | + | 0.141646i | ||||
\(403\) | −2273.47 | + | 12893.5i | −0.281016 | + | 1.59372i | ||||
\(404\) | 179.750 | 0.0221359 | ||||||||
\(405\) | −3106.35 | + | 7378.93i | −0.381125 | + | 0.905339i | ||||
\(406\) | −885.741 | −0.108272 | ||||||||
\(407\) | 951.379 | − | 5395.54i | 0.115868 | − | 0.657118i | ||||
\(408\) | −6858.74 | + | 816.948i | −0.832250 | + | 0.0991298i | ||||
\(409\) | 1932.14 | + | 703.243i | 0.233590 | + | 0.0850198i | 0.456163 | − | 0.889896i | \(-0.349223\pi\) |
−0.222573 | + | 0.974916i | \(0.571446\pi\) | |||||||
\(410\) | −10385.2 | + | 8714.24i | −1.25095 | + | 1.04967i | ||||
\(411\) | 14.3933 | − | 256.842i | 0.00172742 | − | 0.0308250i | ||||
\(412\) | −1236.36 | + | 450.000i | −0.147843 | + | 0.0538104i | ||||
\(413\) | 1235.02 | − | 2139.11i | 0.147146 | − | 0.254864i | ||||
\(414\) | −595.347 | + | 2020.87i | −0.0706757 | + | 0.239904i | ||||
\(415\) | −3102.61 | − | 5373.89i | −0.366991 | − | 0.635647i | ||||
\(416\) | 4616.39 | + | 3873.61i | 0.544080 | + | 0.456537i | ||||
\(417\) | 10128.8 | + | 2377.08i | 1.18947 | + | 0.279152i | ||||
\(418\) | 2028.75 | + | 11505.6i | 0.237391 | + | 1.34631i | ||||
\(419\) | −455.221 | − | 2581.68i | −0.0530763 | − | 0.301011i | 0.946701 | − | 0.322114i | \(-0.104393\pi\) |
−0.999777 | + | 0.0211029i | \(0.993282\pi\) | |||||||
\(420\) | −627.703 | + | 668.262i | −0.0729257 | + | 0.0776377i | ||||
\(421\) | −6232.37 | − | 5229.58i | −0.721490 | − | 0.605402i | 0.206307 | − | 0.978487i | \(-0.433855\pi\) |
−0.927797 | + | 0.373086i | \(0.878300\pi\) | |||||||
\(422\) | −5516.52 | − | 9554.90i | −0.636351 | − | 1.10219i | ||||
\(423\) | −5327.73 | + | 3537.73i | −0.612395 | + | 0.406644i | ||||
\(424\) | −2911.02 | + | 5042.04i | −0.333424 | + | 0.577507i | ||||
\(425\) | 368.941 | − | 134.284i | 0.0421089 | − | 0.0153264i | ||||
\(426\) | −3072.69 | + | 1551.62i | −0.349465 | + | 0.176471i | ||||
\(427\) | −569.616 | + | 477.965i | −0.0645566 | + | 0.0541694i | ||||
\(428\) | −3624.13 | − | 1319.08i | −0.409297 | − | 0.148972i | ||||
\(429\) | 4629.60 | − | 10797.8i | 0.521024 | − | 1.21520i | ||||
\(430\) | 3069.38 | − | 17407.3i | 0.344229 | − | 1.95222i | ||||
\(431\) | 10524.6 | 1.17622 | 0.588112 | − | 0.808780i | \(-0.299872\pi\) | ||||
0.588112 | + | 0.808780i | \(0.299872\pi\) | |||||||
\(432\) | 10555.4 | + | 3763.25i | 1.17557 | + | 0.419119i | ||||
\(433\) | −15556.7 | −1.72658 | −0.863290 | − | 0.504708i | \(-0.831600\pi\) | ||||
−0.863290 | + | 0.504708i | \(0.831600\pi\) | |||||||
\(434\) | −872.047 | + | 4945.63i | −0.0964507 | + | 0.546999i | ||||
\(435\) | 2013.33 | + | 2692.00i | 0.221912 | + | 0.296716i | ||||
\(436\) | −30.9879 | − | 11.2787i | −0.00340379 | − | 0.00123888i | ||||
\(437\) | 1039.57 | − | 872.305i | 0.113797 | − | 0.0954874i | ||||
\(438\) | 2393.66 | + | 1566.81i | 0.261126 | + | 0.170925i | ||||
\(439\) | −13383.2 | + | 4871.09i | −1.45500 | + | 0.529578i | −0.943984 | − | 0.329992i | \(-0.892954\pi\) |
−0.511019 | + | 0.859570i | \(0.670732\pi\) | |||||||
\(440\) | 4705.58 | − | 8150.31i | 0.509841 | − | 0.883070i | ||||
\(441\) | −5186.45 | + | 7030.90i | −0.560032 | + | 0.759194i | ||||
\(442\) | 5984.63 | + | 10365.7i | 0.644027 | + | 1.11549i | ||||
\(443\) | 8036.96 | + | 6743.81i | 0.861958 | + | 0.723269i | 0.962389 | − | 0.271675i | \(-0.0875776\pi\) |
−0.100431 | + | 0.994944i | \(0.532022\pi\) | |||||||
\(444\) | −519.980 | − | 1723.07i | −0.0555791 | − | 0.184174i | ||||
\(445\) | 715.572 | + | 4058.21i | 0.0762278 | + | 0.432310i | ||||
\(446\) | −1169.96 | − | 6635.17i | −0.124213 | − | 0.704449i | ||||
\(447\) | −3982.45 | − | 13196.7i | −0.421395 | − | 1.39638i | ||||
\(448\) | −385.991 | − | 323.885i | −0.0407061 | − | 0.0341565i | ||||
\(449\) | −5192.42 | − | 8993.54i | −0.545759 | − | 0.945282i | −0.998559 | − | 0.0536697i | \(-0.982908\pi\) |
0.452800 | − | 0.891612i | \(-0.350425\pi\) | |||||||
\(450\) | −401.811 | − | 45.1764i | −0.0420923 | − | 0.00473252i | ||||
\(451\) | 10431.6 | − | 18068.1i | 1.08915 | − | 1.88646i | ||||
\(452\) | 689.425 | − | 250.930i | 0.0717430 | − | 0.0261123i | ||||
\(453\) | −1823.42 | − | 1193.55i | −0.189121 | − | 0.123792i | ||||
\(454\) | −4121.35 | + | 3458.22i | −0.426045 | + | 0.357495i | ||||
\(455\) | −1782.41 | − | 648.744i | −0.183650 | − | 0.0668430i | ||||
\(456\) | −2744.34 | − | 3669.44i | −0.281833 | − | 0.376836i | ||||
\(457\) | 95.1569 | − | 539.662i | 0.00974016 | − | 0.0552392i | −0.979550 | − | 0.201199i | \(-0.935516\pi\) |
0.989290 | + | 0.145960i | \(0.0466272\pi\) | |||||||
\(458\) | −22079.2 | −2.25260 | ||||||||
\(459\) | 9668.72 | + | 8005.03i | 0.983218 | + | 0.814037i | ||||
\(460\) | 915.628 | 0.0928074 | ||||||||
\(461\) | −1906.75 | + | 10813.7i | −0.192638 | + | 1.09250i | 0.723104 | + | 0.690739i | \(0.242715\pi\) |
−0.915742 | + | 0.401766i | \(0.868397\pi\) | |||||||
\(462\) | 1775.80 | − | 4141.77i | 0.178826 | − | 0.417083i | ||||
\(463\) | −9161.48 | − | 3334.51i | −0.919590 | − | 0.334703i | −0.161514 | − | 0.986870i | \(-0.551638\pi\) |
−0.758075 | + | 0.652167i | \(0.773860\pi\) | |||||||
\(464\) | 3604.41 | − | 3024.46i | 0.360626 | − | 0.302602i | ||||
\(465\) | 17013.3 | − | 8591.24i | 1.69671 | − | 0.856794i | ||||
\(466\) | 8260.82 | − | 3006.69i | 0.821191 | − | 0.298889i | ||||
\(467\) | −7561.18 | + | 13096.3i | −0.749228 | + | 1.29770i | 0.198965 | + | 0.980007i | \(0.436242\pi\) |
−0.948193 | + | 0.317695i | \(0.897091\pi\) | |||||||
\(468\) | −241.332 | − | 3851.89i | −0.0238367 | − | 0.380456i | ||||
\(469\) | −1199.18 | − | 2077.04i | −0.118066 | − | 0.204496i | ||||
\(470\) | 6800.58 | + | 5706.36i | 0.667420 | + | 0.560032i | ||||
\(471\) | −8809.13 | + | 9378.32i | −0.861790 | + | 0.917474i | ||||
\(472\) | 1446.34 | + | 8202.62i | 0.141045 | + | 0.799907i | ||||
\(473\) | 4723.56 | + | 26788.6i | 0.459175 | + | 2.60411i | ||||
\(474\) | −6275.83 | − | 1472.85i | −0.608140 | − | 0.142722i | ||||
\(475\) | 199.523 | + | 167.420i | 0.0192731 | + | 0.0161721i | ||||
\(476\) | 718.733 | + | 1244.88i | 0.0692082 | + | 0.119872i | ||||
\(477\) | 10284.4 | − | 2485.21i | 0.987189 | − | 0.238554i | ||||
\(478\) | −258.543 | + | 447.809i | −0.0247395 | + | 0.0428500i | ||||
\(479\) | 2714.69 | − | 988.068i | 0.258951 | − | 0.0942505i | −0.209282 | − | 0.977855i | \(-0.567113\pi\) |
0.468234 | + | 0.883605i | \(0.344891\pi\) | |||||||
\(480\) | 490.854 | − | 8759.07i | 0.0466756 | − | 0.832906i | ||||
\(481\) | 2852.41 | − | 2393.46i | 0.270393 | − | 0.226886i | ||||
\(482\) | 18386.0 | + | 6691.96i | 1.73747 | + | 0.632387i | ||||
\(483\) | −519.772 | + | 61.9103i | −0.0489657 | + | 0.00583233i | ||||
\(484\) | 1263.73 | − | 7166.96i | 0.118682 | − | 0.673080i | ||||
\(485\) | 6406.15 | 0.599770 | ||||||||
\(486\) | −5250.29 | − | 11813.1i | −0.490037 | − | 1.10258i | ||||
\(487\) | 15221.1 | 1.41629 | 0.708146 | − | 0.706066i | \(-0.249532\pi\) | ||||
0.708146 | + | 0.706066i | \(0.249532\pi\) | |||||||
\(488\) | 435.408 | − | 2469.32i | 0.0403893 | − | 0.229059i | ||||
\(489\) | 13332.6 | − | 1588.05i | 1.23296 | − | 0.146859i | ||||
\(490\) | 11396.5 | + | 4147.97i | 1.05069 | + | 0.382421i | ||||
\(491\) | 2149.42 | − | 1803.57i | 0.197560 | − | 0.165772i | −0.538641 | − | 0.842535i | \(-0.681062\pi\) |
0.736201 | + | 0.676763i | \(0.236618\pi\) | |||||||
\(492\) | 383.477 | − | 6842.98i | 0.0351392 | − | 0.627043i | ||||
\(493\) | 4952.67 | − | 1802.62i | 0.452448 | − | 0.164678i | ||||
\(494\) | −3970.13 | + | 6876.47i | −0.361588 | + | 0.626289i | ||||
\(495\) | −16624.4 | + | 4017.28i | −1.50952 | + | 0.364774i | ||||
\(496\) | −13338.7 | − | 23103.3i | −1.20751 | − | 2.09147i | ||||
\(497\) | −655.171 | − | 549.754i | −0.0591317 | − | 0.0496174i | ||||
\(498\) | 9754.39 | + | 2289.21i | 0.877720 | + | 0.205988i | ||||
\(499\) | 856.549 | + | 4857.73i | 0.0768425 | + | 0.435795i | 0.998821 | + | 0.0485534i | \(0.0154611\pi\) |
−0.921978 | + | 0.387242i | \(0.873428\pi\) | |||||||
\(500\) | 899.775 | + | 5102.88i | 0.0804783 | + | 0.456415i | ||||
\(501\) | −2256.74 | + | 2402.56i | −0.201245 | + | 0.214248i | ||||
\(502\) | −1843.01 | − | 1546.47i | −0.163860 | − | 0.137495i | ||||
\(503\) | 2185.55 | + | 3785.49i | 0.193735 | + | 0.335560i | 0.946485 | − | 0.322747i | \(-0.104606\pi\) |
−0.752750 | + | 0.658307i | \(0.771273\pi\) | |||||||
\(504\) | 110.518 | + | 1763.97i | 0.00976756 | + | 0.155900i | ||||
\(505\) | 270.683 | − | 468.836i | 0.0238519 | − | 0.0413127i | ||||
\(506\) | −4229.07 | + | 1539.25i | −0.371551 | + | 0.135234i | ||||
\(507\) | −3062.94 | + | 1546.70i | −0.268304 | + | 0.135486i | ||||
\(508\) | −3460.84 | + | 2903.99i | −0.302264 | + | 0.253630i | ||||
\(509\) | −17153.2 | − | 6243.24i | −1.49372 | − | 0.543668i | −0.539291 | − | 0.842120i | \(-0.681308\pi\) |
−0.954425 | + | 0.298452i | \(0.903530\pi\) | |||||||
\(510\) | 6866.29 | − | 16014.5i | 0.596166 | − | 1.39046i | ||||
\(511\) | −123.432 | + | 700.016i | −0.0106855 | + | 0.0606006i | ||||
\(512\) | −2785.52 | −0.240437 | ||||||||
\(513\) | −1391.92 | + | 8209.99i | −0.119795 | + | 0.706589i | ||||
\(514\) | −2570.05 | −0.220545 | ||||||||
\(515\) | −688.100 | + | 3902.41i | −0.0588763 | + | 0.333904i | ||||
\(516\) | 5351.96 | + | 7156.05i | 0.456602 | + | 0.610519i | ||||
\(517\) | −12838.0 | − | 4672.64i | −1.09210 | − | 0.397490i | ||||
\(518\) | 1094.12 | − | 918.073i | 0.0928045 | − | 0.0778722i | ||||
\(519\) | −7385.71 | − | 4834.45i | −0.624656 | − | 0.408880i | ||||
\(520\) | 6010.42 | − | 2187.61i | 0.506874 | − | 0.184487i | ||||
\(521\) | −4209.97 | + | 7291.88i | −0.354016 | + | 0.613173i | −0.986949 | − | 0.161033i | \(-0.948517\pi\) |
0.632933 | + | 0.774206i | \(0.281851\pi\) | |||||||
\(522\) | −5393.90 | − | 606.447i | −0.452269 | − | 0.0508496i | ||||
\(523\) | −1221.04 | − | 2114.91i | −0.102089 | − | 0.176823i | 0.810456 | − | 0.585799i | \(-0.199219\pi\) |
−0.912545 | + | 0.408976i | \(0.865886\pi\) | |||||||
\(524\) | 1833.20 | + | 1538.23i | 0.152831 | + | 0.128241i | ||||
\(525\) | −29.0247 | − | 96.1798i | −0.00241284 | − | 0.00799548i | ||||
\(526\) | 3680.81 | + | 20874.9i | 0.305116 | + | 1.73040i | ||||
\(527\) | −5189.03 | − | 29428.5i | −0.428914 | − | 2.43249i | ||||
\(528\) | 6916.11 | + | 22918.1i | 0.570048 | + | 1.88898i | ||||
\(529\) | −8920.01 | − | 7484.77i | −0.733131 | − | 0.615170i | ||||
\(530\) | −7343.45 | − | 12719.2i | −0.601848 | − | 1.04243i | ||||
\(531\) | 8985.50 | − | 12181.0i | 0.734345 | − | 0.995498i | ||||
\(532\) | −476.798 | + | 825.839i | −0.0388568 | + | 0.0673020i | ||||
\(533\) | 13324.2 | − | 4849.62i | 1.08281 | − | 0.394110i | ||||
\(534\) | −5567.16 | − | 3644.09i | −0.451151 | − | 0.295309i | ||||
\(535\) | −8898.01 | + | 7466.32i | −0.719055 | + | 0.603359i | ||||
\(536\) | 7599.72 | + | 2766.07i | 0.612422 | + | 0.222903i | ||||
\(537\) | 2018.74 | + | 2699.23i | 0.162225 | + | 0.216910i | ||||
\(538\) | −2207.35 | + | 12518.5i | −0.176888 | + | 1.00318i | ||||
\(539\) | −18663.9 | −1.49149 | ||||||||
\(540\) | −4280.07 | + | 3639.74i | −0.341083 | + | 0.290055i | ||||
\(541\) | −22321.4 | −1.77389 | −0.886943 | − | 0.461879i | \(-0.847176\pi\) | ||||
−0.886943 | + | 0.461879i | \(0.847176\pi\) | |||||||
\(542\) | −3172.31 | + | 17991.1i | −0.251407 | + | 1.42580i | ||||
\(543\) | 7520.86 | − | 17541.2i | 0.594385 | − | 1.38631i | ||||
\(544\) | −12925.0 | − | 4704.33i | −1.01867 | − | 0.370765i | ||||
\(545\) | −76.0818 | + | 63.8402i | −0.00597979 | + | 0.00501764i | ||||
\(546\) | 2733.91 | − | 1380.55i | 0.214287 | − | 0.108209i | ||||
\(547\) | 8383.76 | − | 3051.44i | 0.655327 | − | 0.238519i | 0.00710936 | − | 0.999975i | \(-0.497737\pi\) |
0.648217 | + | 0.761455i | \(0.275515\pi\) | |||||||
\(548\) | 90.2628 | − | 156.340i | 0.00703619 | − | 0.0121870i | ||||
\(549\) | −3796.05 | + | 2520.66i | −0.295102 | + | 0.195955i | ||||
\(550\) | −431.883 | − | 748.044i | −0.0334828 | − | 0.0579940i | ||||
\(551\) | 2678.39 | + | 2247.44i | 0.207084 | + | 0.173764i | ||||
\(552\) | 1208.46 | − | 1286.55i | 0.0931804 | − | 0.0992011i | ||||
\(553\) | −278.128 | − | 1577.34i | −0.0213873 | − | 0.121294i | ||||
\(554\) | −1777.41 | − | 10080.2i | −0.136308 | − | 0.773042i | ||||
\(555\) | −5277.24 | − | 1238.49i | −0.403615 | − | 0.0947226i | ||||
\(556\) | 5593.02 | + | 4693.10i | 0.426613 | + | 0.357971i | ||||
\(557\) | 268.972 | + | 465.874i | 0.0204609 | + | 0.0354393i | 0.876075 | − | 0.482176i | \(-0.160153\pi\) |
−0.855614 | + | 0.517615i | \(0.826820\pi\) | |||||||
\(558\) | −8696.67 | + | 29520.3i | −0.659784 | + | 2.23960i | ||||
\(559\) | −9243.68 | + | 16010.5i | −0.699402 | + | 1.21140i | ||||
\(560\) | 3631.88 | − | 1321.90i | 0.274062 | − | 0.0997506i | ||||
\(561\) | −1500.34 | + | 26772.9i | −0.112913 | + | 2.01489i | ||||
\(562\) | 19298.6 | − | 16193.4i | 1.44851 | − | 1.21544i | ||||
\(563\) | 7272.18 | + | 2646.86i | 0.544380 | + | 0.198138i | 0.599548 | − | 0.800339i | \(-0.295347\pi\) |
−0.0551678 | + | 0.998477i | \(0.517569\pi\) | |||||||
\(564\) | −4456.53 | + | 530.819i | −0.332719 | + | 0.0396304i | ||||
\(565\) | 383.701 | − | 2176.07i | 0.0285706 | − | 0.162032i | ||||
\(566\) | 30011.9 | 2.22879 | ||||||||
\(567\) | 2183.55 | − | 2355.56i | 0.161730 | − | 0.174469i | ||||
\(568\) | 2884.02 | 0.213047 | ||||||||
\(569\) | 1384.16 | − | 7849.96i | 0.101981 | − | 0.578361i | −0.890403 | − | 0.455173i | \(-0.849577\pi\) |
0.992383 | − | 0.123187i | \(-0.0393116\pi\) | |||||||
\(570\) | 11478.0 | − | 1367.15i | 0.843439 | − | 0.100462i | ||||
\(571\) | −7595.75 | − | 2764.63i | −0.556694 | − | 0.202620i | 0.0483242 | − | 0.998832i | \(-0.484612\pi\) |
−0.605018 | + | 0.796212i | \(0.706834\pi\) | |||||||
\(572\) | 6315.76 | − | 5299.55i | 0.461670 | − | 0.387387i | ||||
\(573\) | 502.489 | − | 8966.70i | 0.0366349 | − | 0.653734i | ||||
\(574\) | 5110.85 | − | 1860.20i | 0.371642 | − | 0.135267i | ||||
\(575\) | −50.1658 | + | 86.8898i | −0.00363836 | + | 0.00630183i | ||||
\(576\) | −2128.81 | − | 2236.64i | −0.153994 | − | 0.161794i | ||||
\(577\) | 4242.14 | + | 7347.60i | 0.306070 | + | 0.530130i | 0.977499 | − | 0.210940i | \(-0.0676524\pi\) |
−0.671429 | + | 0.741069i | \(0.734319\pi\) | |||||||
\(578\) | −8083.63 | − | 6782.97i | −0.581721 | − | 0.488122i | ||||
\(579\) | 5496.73 | + | 1290.00i | 0.394536 | + | 0.0925918i | ||||
\(580\) | 409.646 | + | 2323.22i | 0.0293269 | + | 0.166321i | ||||
\(581\) | 432.288 | + | 2451.63i | 0.0308680 | + | 0.175061i | ||||
\(582\) | −7081.83 | + | 7539.41i | −0.504383 | + | 0.536974i | ||||
\(583\) | 17314.2 | + | 14528.4i | 1.22999 | + | 1.03208i | ||||
\(584\) | −1198.46 | − | 2075.80i | −0.0849190 | − | 0.147084i | ||||
\(585\) | −10410.2 | − | 5171.03i | −0.735738 | − | 0.365463i | ||||
\(586\) | 1685.18 | − | 2918.82i | 0.118796 | − | 0.205760i | ||||
\(587\) | −15549.6 | + | 5659.60i | −1.09336 | + | 0.397950i | −0.824864 | − | 0.565331i | \(-0.808748\pi\) |
−0.268494 | + | 0.963281i | \(0.586526\pi\) | |||||||
\(588\) | −5473.01 | + | 2763.72i | −0.383849 | + | 0.193833i | ||||
\(589\) | 15185.8 | − | 12742.4i | 1.06234 | − | 0.891411i | ||||
\(590\) | −19744.3 | − | 7186.33i | −1.37773 | − | 0.501452i | ||||
\(591\) | −7390.89 | + | 17238.0i | −0.514417 | + | 1.19979i | ||||
\(592\) | −1317.51 | + | 7471.96i | −0.0914684 | + | 0.518743i | ||||
\(593\) | 12748.0 | 0.882796 | 0.441398 | − | 0.897311i | \(-0.354483\pi\) | ||||
0.441398 | + | 0.897311i | \(0.354483\pi\) | |||||||
\(594\) | 13649.9 | − | 24006.3i | 0.942864 | − | 1.65823i | ||||
\(595\) | 4329.31 | 0.298293 | ||||||||
\(596\) | 1679.79 | − | 9526.56i | 0.115448 | − | 0.654737i | ||||
\(597\) | 4521.07 | + | 6045.08i | 0.309942 | + | 0.414420i | ||||
\(598\) | −2874.22 | − | 1046.13i | −0.196548 | − | 0.0715375i | ||||
\(599\) | 19070.2 | − | 16001.8i | 1.30082 | − | 1.09151i | 0.310812 | − | 0.950471i | \(-0.399399\pi\) |
0.990003 | − | 0.141043i | \(-0.0450455\pi\) | |||||||
\(600\) | 283.448 | + | 185.536i | 0.0192862 | + | 0.0126241i | ||||
\(601\) | 15959.6 | − | 5808.80i | 1.08320 | − | 0.394253i | 0.262103 | − | 0.965040i | \(-0.415584\pi\) |
0.821098 | + | 0.570787i | \(0.193362\pi\) | |||||||
\(602\) | −3545.65 | + | 6141.24i | −0.240050 | + | 0.415778i | ||||
\(603\) | −5880.55 | − | 13469.6i | −0.397138 | − | 0.909660i | ||||
\(604\) | −764.685 | − | 1324.47i | −0.0515142 | − | 0.0892253i | ||||
\(605\) | −16790.3 | − | 14088.7i | −1.12830 | − | 0.946757i | ||||
\(606\) | 252.542 | + | 836.852i | 0.0169287 | + | 0.0560970i | ||||
\(607\) | −549.508 | − | 3116.41i | −0.0367444 | − | 0.208388i | 0.960908 | − | 0.276867i | \(-0.0892963\pi\) |
−0.997653 | + | 0.0684797i | \(0.978185\pi\) | |||||||
\(608\) | −1584.47 | − | 8985.96i | −0.105689 | − | 0.599389i | ||||
\(609\) | −389.627 | − | 1291.12i | −0.0259253 | − | 0.0859092i | ||||
\(610\) | 4845.46 | + | 4065.82i | 0.321618 | + | 0.269869i | ||||
\(611\) | −4642.54 | − | 8041.12i | −0.307393 | − | 0.532421i | ||||
\(612\) | 3524.53 | + | 8073.07i | 0.232795 | + | 0.533226i | ||||
\(613\) | 3473.88 | − | 6016.94i | 0.228889 | − | 0.396447i | −0.728590 | − | 0.684950i | \(-0.759824\pi\) |
0.957479 | + | 0.288503i | \(0.0931575\pi\) | |||||||
\(614\) | −5345.24 | + | 1945.51i | −0.351330 | + | 0.127874i | ||||
\(615\) | −17270.8 | − | 11304.9i | −1.13240 | − | 0.741233i | ||||
\(616\) | −2892.30 | + | 2426.92i | −0.189178 | + | 0.158740i | ||||
\(617\) | 17959.6 | + | 6536.76i | 1.17184 | + | 0.426516i | 0.853314 | − | 0.521398i | \(-0.174589\pi\) |
0.318528 | + | 0.947913i | \(0.396811\pi\) | |||||||
\(618\) | −3832.07 | − | 5123.83i | −0.249431 | − | 0.333512i | ||||
\(619\) | −2259.18 | + | 12812.5i | −0.146695 | + | 0.831948i | 0.819296 | + | 0.573371i | \(0.194365\pi\) |
−0.965991 | + | 0.258577i | \(0.916746\pi\) | |||||||
\(620\) | 13375.2 | 0.866391 | ||||||||
\(621\) | −3207.65 | + | 21.1393i | −0.207276 | + | 0.00136601i | ||||
\(622\) | −14551.8 | −0.938064 | ||||||||
\(623\) | 287.077 | − | 1628.10i | 0.0184615 | − | 0.104700i | ||||
\(624\) | −6411.26 | + | 14953.2i | −0.411308 | + | 0.959307i | ||||
\(625\) | 14149.2 | + | 5149.87i | 0.905546 | + | 0.329592i | ||||
\(626\) | −4007.25 | + | 3362.48i | −0.255850 | + | 0.214683i | ||||
\(627\) | −15879.0 | + | 8018.44i | −1.01140 | + | 0.510727i | ||||
\(628\) | −8484.91 | + | 3088.26i | −0.539148 | + | 0.196234i | ||||
\(629\) | −4249.38 | + | 7360.15i | −0.269370 | + | 0.466563i | ||||
\(630\) | −3993.08 | − | 1983.48i | −0.252521 | − | 0.125435i | ||||
\(631\) | 12528.8 | + | 21700.5i | 0.790432 | + | 1.36907i | 0.925700 | + | 0.378259i | \(0.123477\pi\) |
−0.135268 | + | 0.990809i | \(0.543189\pi\) | |||||||
\(632\) | 4137.38 | + | 3471.68i | 0.260406 | + | 0.218506i | ||||
\(633\) | 11501.2 | − | 12244.3i | 0.722167 | − | 0.768829i | ||||
\(634\) | −4824.04 | − | 27358.5i | −0.302188 | − | 1.71379i | ||||
\(635\) | 2362.76 | + | 13399.9i | 0.147659 | + | 0.837413i | ||||
\(636\) | 7228.56 | + | 1696.44i | 0.450678 | + | 0.105768i | ||||
\(637\) | −9717.00 | − | 8153.53i | −0.604398 | − | 0.507150i | ||||
\(638\) | −5797.60 | − | 10041.7i | −0.359763 | − | 0.623129i | ||||
\(639\) | −3613.39 | − | 3796.42i | −0.223699 | − | 0.235030i | ||||
\(640\) | −8896.43 | + | 15409.1i | −0.549472 | + | 0.951714i | ||||
\(641\) | −7494.14 | + | 2727.64i | −0.461779 | + | 0.168074i | −0.562425 | − | 0.826848i | \(-0.690131\pi\) |
0.100645 | + | 0.994922i | \(0.467909\pi\) | |||||||
\(642\) | 1049.39 | − | 18725.9i | 0.0645110 | − | 1.15117i | ||||
\(643\) | 9127.99 | − | 7659.30i | 0.559834 | − | 0.469756i | −0.318421 | − | 0.947949i | \(-0.603153\pi\) |
0.878255 | + | 0.478193i | \(0.158708\pi\) | |||||||
\(644\) | −345.184 | − | 125.637i | −0.0211213 | − | 0.00768754i | ||||
\(645\) | 26724.3 | − | 3183.14i | 1.63142 | − | 0.194320i | ||||
\(646\) | 3147.04 | − | 17847.7i | 0.191670 | − | 1.08701i | ||||
\(647\) | 3355.80 | 0.203911 | 0.101955 | − | 0.994789i | \(-0.467490\pi\) | ||||
0.101955 | + | 0.994789i | \(0.467490\pi\) | |||||||
\(648\) | −534.729 | + | 10817.7i | −0.0324169 | + | 0.655802i | ||||
\(649\) | 32335.1 | 1.95572 | ||||||||
\(650\) | 101.939 | − | 578.127i | 0.00615137 | − | 0.0348862i | ||||
\(651\) | −7592.68 | + | 904.369i | −0.457113 | + | 0.0544470i | ||||
\(652\) | 8854.23 | + | 3222.68i | 0.531838 | + | 0.193573i | ||||
\(653\) | −21581.7 | + | 18109.2i | −1.29335 | + | 1.08525i | −0.302099 | + | 0.953276i | \(0.597687\pi\) |
−0.991253 | + | 0.131975i | \(0.957868\pi\) | |||||||
\(654\) | 8.97273 | − | 160.114i | 0.000536485 | − | 0.00957335i | ||||
\(655\) | 6772.69 | − | 2465.06i | 0.404017 | − | 0.147050i | ||||
\(656\) | −14446.1 | + | 25021.4i | −0.859795 | + | 1.48921i | ||||
\(657\) | −1230.95 | + | 4178.38i | −0.0730956 | + | 0.248119i | ||||
\(658\) | −1780.77 | − | 3084.38i | −0.105504 | − | 0.182738i | ||||
\(659\) | 8301.78 | + | 6966.02i | 0.490731 | + | 0.411772i | 0.854288 | − | 0.519800i | \(-0.173993\pi\) |
−0.363557 | + | 0.931572i | \(0.618438\pi\) | |||||||
\(660\) | −11684.8 | − | 2742.24i | −0.689134 | − | 0.161730i | ||||
\(661\) | 4367.00 | + | 24766.5i | 0.256969 | + | 1.45734i | 0.790967 | + | 0.611859i | \(0.209578\pi\) |
−0.533998 | + | 0.845486i | \(0.679311\pi\) | |||||||
\(662\) | 1611.78 | + | 9140.88i | 0.0946280 | + | 0.536662i | ||||
\(663\) | −12477.2 | + | 13283.4i | −0.730879 | + | 0.778104i | ||||
\(664\) | −6430.65 | − | 5395.95i | −0.375840 | − | 0.315367i | ||||
\(665\) | 1436.00 | + | 2487.23i | 0.0837381 | + | 0.145039i | ||||
\(666\) | 7291.43 | − | 4841.67i | 0.424230 | − | 0.281698i | ||||
\(667\) | −673.426 | + | 1166.41i | −0.0390932 | + | 0.0677114i | ||||
\(668\) | −2173.68 | + | 791.156i | −0.125902 | + | 0.0458245i | ||||
\(669\) | 9157.22 | − | 4624.15i | 0.529206 | − | 0.267234i | ||||
\(670\) | −15628.6 | + | 13114.0i | −0.901173 | + | 0.756174i | ||||
\(671\) | −9147.14 | − | 3329.29i | −0.526261 | − | 0.191544i | ||||
\(672\) | −1386.91 | + | 3234.74i | −0.0796149 | + | 0.185689i | ||||
\(673\) | 1649.09 | − | 9352.46i | 0.0944544 | − | 0.535677i | −0.900459 | − | 0.434941i | \(-0.856769\pi\) |
0.994913 | − | 0.100736i | \(-0.0321198\pi\) | |||||||
\(674\) | 23360.8 | 1.33505 | ||||||||
\(675\) | −110.900 | − | 605.579i | −0.00632375 | − | 0.0345315i | ||||
\(676\) | −2407.98 | −0.137004 | ||||||||
\(677\) | 628.074 | − | 3561.98i | 0.0356556 | − | 0.202213i | −0.961776 | − | 0.273837i | \(-0.911707\pi\) |
0.997432 | + | 0.0716241i | \(0.0228182\pi\) | |||||||
\(678\) | 2136.85 | + | 2857.17i | 0.121040 | + | 0.161842i | ||||
\(679\) | −2415.06 | − | 879.010i | −0.136497 | − | 0.0496809i | ||||
\(680\) | −11183.3 | + | 9383.91i | −0.630677 | + | 0.529201i | ||||
\(681\) | −6853.88 | − | 4486.33i | −0.385670 | − | 0.252447i | ||||
\(682\) | −61777.0 | + | 22485.0i | −3.46857 | + | 1.26246i | ||||
\(683\) | 1790.30 | − | 3100.89i | 0.100298 | − | 0.173722i | −0.811509 | − | 0.584340i | \(-0.801354\pi\) |
0.911808 | + | 0.410618i | \(0.134687\pi\) | |||||||
\(684\) | −3468.99 | + | 4702.66i | −0.193919 | + | 0.262881i | ||||
\(685\) | −271.850 | − | 470.858i | −0.0151633 | − | 0.0262636i | ||||
\(686\) | −7678.01 | − | 6442.61i | −0.427329 | − | 0.358572i | ||||
\(687\) | −9712.36 | − | 32184.1i | −0.539374 | − | 1.78733i | ||||
\(688\) | −6541.38 | − | 37098.0i | −0.362482 | − | 2.05574i | ||||
\(689\) | 2667.44 | + | 15127.8i | 0.147491 | + | 0.836464i | ||||
\(690\) | 1286.42 | + | 4262.83i | 0.0709755 | + | 0.235193i | ||||
\(691\) | −12524.6 | − | 10509.4i | −0.689521 | − | 0.578577i | 0.229250 | − | 0.973368i | \(-0.426373\pi\) |
−0.918771 | + | 0.394791i | \(0.870817\pi\) | |||||||
\(692\) | −3097.34 | − | 5364.74i | −0.170149 | − | 0.294706i | ||||
\(693\) | 6818.47 | + | 766.614i | 0.373755 | + | 0.0420220i | ||||
\(694\) | 16557.1 | − | 28677.7i | 0.905616 | − | 1.56857i | ||||
\(695\) | 20663.3 | − | 7520.81i | 1.12777 | − | 0.410476i | ||||
\(696\) | 3805.00 | + | 2490.63i | 0.207225 | + | 0.135643i | ||||
\(697\) | −24791.8 | + | 20802.8i | −1.34728 | + | 1.13050i | ||||
\(698\) | −881.105 | − | 320.696i | −0.0477798 | − | 0.0173904i | ||||
\(699\) | 8016.59 | + | 10718.9i | 0.433785 | + | 0.580009i | ||||
\(700\) | 12.2426 | − | 69.4310i | 0.000661036 | − | 0.00374892i | ||||
\(701\) | 11210.5 | 0.604015 | 0.302007 | − | 0.953306i | \(-0.402343\pi\) | ||||
0.302007 | + | 0.953306i | \(0.402343\pi\) | |||||||
\(702\) | 17593.9 | − | 6535.29i | 0.945926 | − | 0.351366i | ||||
\(703\) | −5637.97 | −0.302475 | ||||||||
\(704\) | 1145.42 | − | 6495.99i | 0.0613205 | − | 0.347766i | ||||
\(705\) | −5326.48 | + | 12423.1i | −0.284549 | + | 0.663663i | ||||
\(706\) | 5562.07 | + | 2024.43i | 0.296503 | + | 0.107918i | ||||
\(707\) | −166.376 | + | 139.606i | −0.00885035 | + | 0.00742633i | ||||
\(708\) | 9481.96 | − | 4788.13i | 0.503325 | − | 0.254165i | ||||
\(709\) | −7665.10 | + | 2789.87i | −0.406021 | + | 0.147780i | −0.536954 | − | 0.843612i | \(-0.680425\pi\) |
0.130933 | + | 0.991391i | \(0.458203\pi\) | |||||||
\(710\) | −3637.67 | + | 6300.63i | −0.192281 | + | 0.333040i | ||||
\(711\) | −613.746 | − | 9795.96i | −0.0323731 | − | 0.516705i | ||||
\(712\) | 2787.38 | + | 4827.88i | 0.146716 | + | 0.254119i | ||||
\(713\) | 5849.74 | + | 4908.52i | 0.307257 | + | 0.257820i | ||||
\(714\) | −4785.93 | + | 5095.17i | −0.250853 | + | 0.267061i | ||||
\(715\) | −4311.84 | − | 24453.7i | −0.225530 | − | 1.27904i | ||||
\(716\) | 410.747 | + | 2329.46i | 0.0214390 | + | 0.121587i | ||||
\(717\) | −766.487 | − | 179.883i | −0.0399233 | − | 0.00936941i | ||||
\(718\) | 11192.5 | + | 9391.64i | 0.581757 | + | 0.488152i | ||||
\(719\) | −12784.1 | − | 22142.8i | −0.663099 | − | 1.14852i | −0.979797 | − | 0.199994i | \(-0.935908\pi\) |
0.316698 | − | 0.948526i | \(-0.397426\pi\) | |||||||
\(720\) | 23022.1 | − | 5563.29i | 1.19165 | − | 0.287961i | ||||
\(721\) | 794.870 | − | 1376.76i | 0.0410576 | − | 0.0711138i | ||||
\(722\) | −10698.5 | + | 3893.92i | −0.551462 | + | 0.200716i | ||||
\(723\) | −1666.86 | + | 29744.4i | −0.0857417 | + | 1.53002i | ||||
\(724\) | 10260.1 | − | 8609.21i | 0.526674 | − | 0.441932i | ||||
\(725\) | −242.909 | − | 88.4116i | −0.0124433 | − | 0.00452900i | ||||
\(726\) | 35142.2 | − | 4185.81i | 1.79649 | − | 0.213981i | ||||
\(727\) | −2814.98 | + | 15964.5i | −0.143606 | + | 0.814431i | 0.824869 | + | 0.565323i | \(0.191249\pi\) |
−0.968476 | + | 0.249108i | \(0.919863\pi\) | |||||||
\(728\) | −2566.04 | −0.130637 | ||||||||
\(729\) | 14910.0 | − | 12849.6i | 0.757506 | − | 0.652828i | ||||
\(730\) | 6046.57 | 0.306566 | ||||||||
\(731\) | 7327.27 | − | 41555.0i | 0.370737 | − | 2.10255i | ||||
\(732\) | −3175.31 | + | 378.212i | −0.160331 | + | 0.0190972i | ||||
\(733\) | 21666.3 | + | 7885.89i | 1.09176 | + | 0.397370i | 0.824274 | − | 0.566191i | \(-0.191584\pi\) |
0.267490 | + | 0.963561i | \(0.413806\pi\) | |||||||
\(734\) | −10589.9 | + | 8886.00i | −0.532536 | + | 0.446850i | ||||
\(735\) | −1033.19 | + | 18436.9i | −0.0518502 | + | 0.925245i | ||||
\(736\) | 3302.92 | − | 1202.16i | 0.165417 | − | 0.0602070i | ||||
\(737\) | 15698.4 | − | 27190.4i | 0.784611 | − | 1.35899i | ||||
\(738\) | 32397.2 | − | 7828.76i | 1.61593 | − | 0.390489i | ||||
\(739\) | −9222.49 | − | 15973.8i | −0.459073 | − | 0.795137i | 0.539840 | − | 0.841768i | \(-0.318485\pi\) |
−0.998912 | + | 0.0466309i | \(0.985152\pi\) | |||||||
\(740\) | −2914.04 | − | 2445.17i | −0.144760 | − | 0.121468i | ||||
\(741\) | −11770.0 | − | 2762.25i | −0.583512 | − | 0.136942i | ||||
\(742\) | 1023.16 | + | 5802.66i | 0.0506221 | + | 0.287092i | ||||
\(743\) | 1949.80 | + | 11057.8i | 0.0962733 | + | 0.545993i | 0.994350 | + | 0.106154i | \(0.0338536\pi\) |
−0.898076 | + | 0.439839i | \(0.855035\pi\) | |||||||
\(744\) | 17652.9 | − | 18793.5i | 0.869874 | − | 0.926080i | ||||
\(745\) | −22318.2 | − | 18727.2i | −1.09755 | − | 0.920955i | ||||
\(746\) | 23727.3 | + | 41096.9i | 1.16450 | + | 2.01698i | ||||
\(747\) | 953.931 | + | 15225.7i | 0.0467236 | + | 0.745753i | ||||
\(748\) | −9408.90 | + | 16296.7i | −0.459925 | + | 0.796613i | ||||
\(749\) | 4378.95 | − | 1593.81i | 0.213623 | − | 0.0777523i | ||||
\(750\) | −22493.0 | + | 11358.4i | −1.09510 | + | 0.552998i | ||||
\(751\) | −21160.1 | + | 17755.5i | −1.02815 | + | 0.862724i | −0.990630 | − | 0.136571i | \(-0.956392\pi\) |
−0.0375245 | + | 0.999296i | \(0.511947\pi\) | |||||||
\(752\) | 17778.5 | + | 6470.86i | 0.862124 | + | 0.313787i | ||||
\(753\) | 1443.52 | − | 3366.77i | 0.0698603 | − | 0.162938i | ||||
\(754\) | 1368.43 | − | 7760.77i | 0.0660947 | − | 0.374842i | ||||
\(755\) | −4606.10 | −0.222031 | ||||||||
\(756\) | 2112.97 | − | 784.866i | 0.101651 | − | 0.0377583i | ||||
\(757\) | −1558.81 | −0.0748425 | −0.0374213 | − | 0.999300i | \(-0.511914\pi\) | ||||
−0.0374213 | + | 0.999300i | \(0.511914\pi\) | |||||||
\(758\) | −3251.67 | + | 18441.1i | −0.155813 | + | 0.883657i | ||||
\(759\) | −4104.04 | − | 5487.47i | −0.196268 | − | 0.262428i | ||||
\(760\) | −9100.58 | − | 3312.34i | −0.434359 | − | 0.158094i | ||||
\(761\) | −10724.9 | + | 8999.23i | −0.510875 | + | 0.428675i | −0.861437 | − | 0.507864i | \(-0.830435\pi\) |
0.350562 | + | 0.936540i | \(0.385991\pi\) | |||||||
\(762\) | −18382.3 | − | 12032.4i | −0.873910 | − | 0.572034i | ||||
\(763\) | 37.4419 | − | 13.6277i | 0.00177652 | − | 0.000646602i | ||||
\(764\) | 3151.20 | − | 5458.04i | 0.149223 | − | 0.258462i | ||||
\(765\) | 26364.2 | + | 2964.18i | 1.24601 | + | 0.140092i | ||||
\(766\) | 15294.6 | + | 26491.1i | 0.721433 | + | 1.24956i | ||||
\(767\) | 16834.6 | + | 14125.9i | 0.792521 | + | 0.665004i | ||||
\(768\) | −6926.74 | − | 22953.3i | −0.325452 | − | 1.07846i | ||||
\(769\) | −1450.34 | − | 8225.30i | −0.0680113 | − | 0.385711i | −0.999745 | − | 0.0225696i | \(-0.992815\pi\) |
0.931734 | − | 0.363142i | \(-0.118296\pi\) | |||||||
\(770\) | −1653.92 | − | 9379.82i | −0.0774065 | − | 0.438994i | ||||
\(771\) | −1130.53 | − | 3746.28i | −0.0528083 | − | 0.174992i | ||||
\(772\) | 3035.24 | + | 2546.87i | 0.141503 | + | 0.118735i | ||||
\(773\) | −13400.6 | − | 23210.5i | −0.623527 | − | 1.07998i | −0.988824 | − | 0.149089i | \(-0.952366\pi\) |
0.365297 | − | 0.930891i | \(-0.380967\pi\) | |||||||
\(774\) | −25796.7 | + | 34970.7i | −1.19799 | + | 1.62403i | ||||
\(775\) | −732.808 | + | 1269.26i | −0.0339655 | + | 0.0588300i | ||||
\(776\) | 8143.78 | − | 2964.09i | 0.376733 | − | 0.137119i | ||||
\(777\) | 1819.53 | + | 1191.01i | 0.0840095 | + | 0.0549899i | ||||
\(778\) | 15065.7 | − | 12641.6i | 0.694256 | − | 0.582550i | ||||
\(779\) | −20174.7 | − | 7342.98i | −0.927898 | − | 0.337727i | ||||
\(780\) | −4885.46 | − | 6532.31i | −0.224266 | − | 0.299864i | ||||
\(781\) | 1944.20 | − | 11026.1i | 0.0890770 | − | 0.505181i | ||||
\(782\) | 6981.22 | 0.319243 | ||||||||
\(783\) | −1488.72 | − | 8129.28i | −0.0679468 | − | 0.371031i | ||||
\(784\) | 25846.6 | 1.17741 | ||||||||
\(785\) | −4722.29 | + | 26781.4i | −0.214708 | + | 1.21767i | ||||
\(786\) | −4585.90 | + | 10695.8i | −0.208109 | + | 0.485379i | ||||
\(787\) | 992.046 | + | 361.075i | 0.0449334 | + | 0.0163544i | 0.364389 | − | 0.931247i | \(-0.381278\pi\) |
−0.319456 | + | 0.947601i | \(0.603500\pi\) | |||||||
\(788\) | −10082.7 | + | 8460.43i | −0.455816 | + | 0.382475i | ||||
\(789\) | −28809.6 | + | 14548.0i | −1.29993 | + | 0.656431i | ||||
\(790\) | −12803.0 | + | 4659.92i | −0.576596 | + | 0.209864i | ||||
\(791\) | −443.238 | + | 767.711i | −0.0199238 | + | 0.0345091i | ||||
\(792\) | −19274.9 | + | 12799.0i | −0.864776 | + | 0.574231i | ||||
\(793\) | −3307.84 | − | 5729.35i | −0.148127 | − | 0.256564i | ||||
\(794\) | 4443.22 | + | 3728.30i | 0.198594 | + | 0.166640i | ||||
\(795\) | 15310.1 | − | 16299.4i | 0.683011 | − | 0.727143i | ||||
\(796\) | 919.889 | + | 5216.95i | 0.0409606 | + | 0.232299i | ||||
\(797\) | 1778.22 | + | 10084.8i | 0.0790312 | + | 0.448208i | 0.998486 | + | 0.0550119i | \(0.0175197\pi\) |
−0.919454 | + | 0.393197i | \(0.871369\pi\) | |||||||
\(798\) | −4514.69 | − | 1059.53i | −0.200273 | − | 0.0470013i | ||||
\(799\) | 16234.4 | + | 13622.3i | 0.718815 | + | 0.603157i | ||||
\(800\) | 337.303 | + | 584.226i | 0.0149068 | + | 0.0258194i | ||||
\(801\) | 2862.93 | − | 9718.06i | 0.126288 | − | 0.428678i | ||||
\(802\) | 17880.7 | − | 30970.2i | 0.787267 | − | 1.36359i | ||||
\(803\) | −8744.06 | + | 3182.58i | −0.384273 | + | 0.139864i | ||||
\(804\) | 577.090 | − | 10297.9i | 0.0253139 | − | 0.451716i | ||||
\(805\) | −847.498 | + | 711.136i | −0.0371061 | + | 0.0311357i | ||||
\(806\) | −41985.8 | − | 15281.6i | −1.83485 | − | 0.667830i | ||||
\(807\) | −19218.8 | + | 2289.17i | −0.838334 | + | 0.0998544i | ||||
\(808\) | 127.176 | − | 721.248i | 0.00553715 | − | 0.0314028i | ||||
\(809\) | −11391.9 | −0.495077 | −0.247538 | − | 0.968878i | \(-0.579622\pi\) | ||||
−0.247538 | + | 0.968878i | \(0.579622\pi\) | |||||||
\(810\) | −22958.6 | − | 14812.8i | −0.995906 | − | 0.642553i | ||||
\(811\) | −8743.55 | −0.378579 | −0.189289 | − | 0.981921i | \(-0.560618\pi\) | ||||
−0.189289 | + | 0.981921i | \(0.560618\pi\) | |||||||
\(812\) | 164.344 | − | 932.041i | 0.00710264 | − | 0.0402811i | ||||
\(813\) | −27620.4 | + | 3289.89i | −1.19150 | + | 0.141920i | ||||
\(814\) | 17569.8 | + | 6394.88i | 0.756536 | + | 0.275357i | ||||
\(815\) | 21739.0 | − | 18241.2i | 0.934336 | − | 0.784001i | ||||
\(816\) | 2077.73 | − | 37076.2i | 0.0891363 | − | 1.59060i | ||||
\(817\) | 26304.2 | − | 9573.94i | 1.12640 | − | 0.409975i | ||||
\(818\) | −3508.50 | + | 6076.89i | −0.149965 | + | 0.259748i | ||||
\(819\) | 3215.00 | + | 3377.84i | 0.137169 | + | 0.144117i | ||||
\(820\) | −7242.84 | − | 12545.0i | −0.308452 | − | 0.534255i | ||||
\(821\) | −26366.6 | − | 22124.2i | −1.12083 | − | 0.940489i | −0.122185 | − | 0.992507i | \(-0.538990\pi\) |
−0.998646 | + | 0.0520183i | \(0.983435\pi\) | |||||||
\(822\) | 854.676 | + | 200.580i | 0.0362655 | + | 0.00851099i | ||||
\(823\) | 3297.96 | + | 18703.7i | 0.139684 | + | 0.792186i | 0.971483 | + | 0.237110i | \(0.0762000\pi\) |
−0.831799 | + | 0.555077i | \(0.812689\pi\) | |||||||
\(824\) | 930.881 | + | 5279.29i | 0.0393553 | + | 0.223195i | ||||
\(825\) | 900.419 | − | 958.598i | 0.0379982 | − | 0.0404534i | ||||
\(826\) | 6457.35 | + | 5418.36i | 0.272010 | + | 0.228243i | ||||
\(827\) | −2770.81 | − | 4799.19i | −0.116506 | − | 0.201795i | 0.801875 | − | 0.597492i | \(-0.203836\pi\) |
−0.918381 | + | 0.395698i | \(0.870503\pi\) | |||||||
\(828\) | −2016.04 | − | 1001.43i | −0.0846164 | − | 0.0420315i | ||||
\(829\) | −21645.5 | + | 37491.1i | −0.906850 | + | 1.57071i | −0.0884355 | + | 0.996082i | \(0.528187\pi\) |
−0.818414 | + | 0.574628i | \(0.805147\pi\) | |||||||
\(830\) | 19899.4 | − | 7242.81i | 0.832193 | − | 0.302893i | ||||
\(831\) | 13911.7 | − | 7025.01i | 0.580735 | − | 0.293255i | ||||
\(832\) | 3434.18 | − | 2881.62i | 0.143100 | − | 0.120075i | ||||
\(833\) | 27205.8 | + | 9902.10i | 1.13160 | + | 0.411870i | ||||
\(834\) | −13991.4 | + | 32632.7i | −0.580915 | + | 1.35489i | ||||
\(835\) | −1209.77 | + | 6860.93i | −0.0501386 | + | 0.284350i | ||||
\(836\) | −12483.5 | −0.516448 | ||||||||
\(837\) | −46856.4 | + | 308.797i | −1.93500 | + | 0.0127522i | ||||
\(838\) | 8946.41 | 0.368793 | ||||||||
\(839\) | −4296.90 | + | 24368.9i | −0.176812 | + | 1.00275i | 0.759219 | + | 0.650835i | \(0.225581\pi\) |
−0.936031 | + | 0.351916i | \(0.885530\pi\) | |||||||
\(840\) | 2237.29 | + | 2991.46i | 0.0918975 | + | 0.122875i | ||||
\(841\) | 19657.4 | + | 7154.69i | 0.805993 | + | 0.293357i | ||||
\(842\) | 21269.2 | − | 17847.0i | 0.870528 | − | 0.730459i | ||||
\(843\) | 32093.9 | + | 21007.6i | 1.31124 | + | 0.858293i | ||||
\(844\) | 11077.9 | − | 4032.03i | 0.451798 | − | 0.164441i | ||||
\(845\) | −3626.13 | + | 6280.64i | −0.147624 | + | 0.255693i | ||||
\(846\) | −8732.53 | − | 20002.2i | −0.354883 | − | 0.812872i | ||||
\(847\) | 4396.62 | + | 7615.18i | 0.178359 | + | 0.308926i | ||||
\(848\) | −23977.5 | − | 20119.5i | −0.970978 | − | 0.814747i | ||||
\(849\) | 13201.9 | + | 43747.4i | 0.533672 | + | 1.76844i | ||||
\(850\) | 232.669 | + | 1319.53i | 0.00938882 | + | 0.0532466i | ||||
\(851\) | −377.131 | − | 2138.82i | −0.0151914 | − | 0.0861548i | ||||
\(852\) | −1062.61 | − | 3521.20i | −0.0427283 | − | 0.141590i | ||||
\(853\) | −19869.4 | − | 16672.4i | −0.797557 | − | 0.669230i | 0.150046 | − | 0.988679i | \(-0.452058\pi\) |
−0.947603 | + | 0.319449i | \(0.896502\pi\) | |||||||
\(854\) | −1268.81 | − | 2197.64i | −0.0508404 | − | 0.0880582i | ||||
\(855\) | 7041.88 | + | 16129.7i | 0.281669 | + | 0.645174i | ||||
\(856\) | −7856.91 | + | 13608.6i | −0.313719 | + | 0.543378i | ||||
\(857\) | −9124.67 | + | 3321.11i | −0.363702 | + | 0.132377i | −0.517406 | − | 0.855740i | \(-0.673102\pi\) |
0.153704 | + | 0.988117i | \(0.450880\pi\) | |||||||
\(858\) | 33546.2 | + | 21958.2i | 1.33479 | + | 0.873709i | ||||
\(859\) | 7052.26 | − | 5917.55i | 0.280116 | − | 0.235046i | −0.491895 | − | 0.870655i | \(-0.663695\pi\) |
0.772011 | + | 0.635609i | \(0.219251\pi\) | |||||||
\(860\) | 17747.7 | + | 6459.65i | 0.703713 | + | 0.256131i | ||||
\(861\) | 4959.75 | + | 6631.64i | 0.196316 | + | 0.262492i | ||||
\(862\) | −6236.97 | + | 35371.6i | −0.246441 | + | 1.39763i | ||||
\(863\) | 13248.8 | 0.522590 | 0.261295 | − | 0.965259i | \(-0.415850\pi\) | ||||
0.261295 | + | 0.965259i | \(0.415850\pi\) | |||||||
\(864\) | −10660.6 | + | 18749.0i | −0.419771 | + | 0.738257i | ||||
\(865\) | −18656.9 | −0.733356 | ||||||||
\(866\) | 9219.05 | − | 52283.9i | 0.361751 | − | 2.05159i | ||||
\(867\) | 6331.42 | − | 14767.0i | 0.248012 | − | 0.578447i | ||||
\(868\) | −5042.34 | − | 1835.26i | −0.197175 | − | 0.0717660i | ||||
\(869\) | 16062.0 | − | 13477.6i | 0.627003 | − | 0.526118i | ||||
\(870\) | −10240.5 | + | 5171.19i | −0.399065 | + | 0.201517i | ||||
\(871\) | 20051.5 | − | 7298.15i | 0.780045 | − | 0.283913i | ||||
\(872\) | −67.1800 | + | 116.359i | −0.00260895 | + | 0.00451883i | ||||
\(873\) | −14105.2 | − | 7006.45i | −0.546836 | − | 0.271629i | ||||
\(874\) | 2315.62 | + | 4010.78i | 0.0896192 | + | 0.155225i | ||||
\(875\) | −4796.05 | − | 4024.36i | −0.185298 | − | 0.155484i | ||||
\(876\) | −2092.84 | + | 2228.07i | −0.0807198 | + | 0.0859354i | ||||
\(877\) | −6559.30 | − | 37199.6i | −0.252556 | − | 1.43232i | −0.802269 | − | 0.596963i | \(-0.796374\pi\) |
0.549712 | − | 0.835354i | \(-0.314737\pi\) | |||||||
\(878\) | −8440.00 | − | 47865.6i | −0.324415 | − | 1.83985i | ||||
\(879\) | 4995.97 | + | 1172.48i | 0.191706 | + | 0.0449907i | ||||
\(880\) | 38758.9 | + | 32522.5i | 1.48473 | + | 1.24583i | ||||
\(881\) | 2464.91 | + | 4269.35i | 0.0942622 | + | 0.163267i | 0.909300 | − | 0.416140i | \(-0.136617\pi\) |
−0.815038 | + | 0.579407i | \(0.803284\pi\) | |||||||
\(882\) | −20556.2 | − | 21597.4i | −0.784767 | − | 0.824517i | ||||
\(883\) | 10096.6 | − | 17487.8i | 0.384799 | − | 0.666492i | −0.606942 | − | 0.794746i | \(-0.707604\pi\) |
0.991741 | + | 0.128254i | \(0.0409374\pi\) | |||||||
\(884\) | −12017.9 | + | 4374.17i | −0.457248 | + | 0.166425i | ||||
\(885\) | 1790.00 | − | 31941.8i | 0.0679889 | − | 1.21323i | ||||
\(886\) | −27427.7 | + | 23014.6i | −1.04001 | + | 0.872674i | ||||
\(887\) | 35444.9 | + | 12900.9i | 1.34174 | + | 0.488353i | 0.910360 | − | 0.413818i | \(-0.135805\pi\) |
0.431379 | + | 0.902171i | \(0.358027\pi\) | |||||||
\(888\) | −7281.70 | + | 867.327i | −0.275178 | + | 0.0327766i | ||||
\(889\) | 947.903 | − | 5375.83i | 0.0357612 | − | 0.202812i | ||||
\(890\) | −14063.1 | −0.529658 | ||||||||
\(891\) | 40997.6 | + | 9336.91i | 1.54149 | + | 0.351064i | ||||
\(892\) | 7199.09 | 0.270228 | ||||||||
\(893\) | −2441.30 | + | 13845.3i | −0.0914836 | + | 0.518829i | ||||
\(894\) | 46712.2 | − | 5563.92i | 1.74753 | − | 0.208149i | ||||
\(895\) | 6694.38 | + | 2436.55i | 0.250021 | + | 0.0910000i | ||||
\(896\) | 5468.21 | − | 4588.37i | 0.203884 | − | 0.171079i | ||||
\(897\) | 260.574 | − | 4649.84i | 0.00969936 | − | 0.173081i | ||||
\(898\) | 33303.0 | − | 12121.3i | 1.23757 | − | 0.450438i | ||||
\(899\) | −9837.21 | + | 17038.6i | −0.364949 | + | 0.632111i | ||||
\(900\) | 122.091 | − | 414.432i | 0.00452190 | − | 0.0153493i | ||||
\(901\) | −17530.4 | − | 30363.5i | −0.648193 | − | 1.12270i | ||||
\(902\) | 54542.1 | + | 45766.3i | 2.01336 | + | 1.68941i | ||||
\(903\) | −10511.6 | − | 2466.91i | −0.387379 | − | 0.0909123i | ||||
\(904\) | −519.081 | − | 2943.86i | −0.0190978 | − | 0.108309i | ||||
\(905\) | −7004.65 | − | 39725.4i | −0.257285 | − | 1.45913i | ||||
\(906\) | 5091.92 | − | 5420.92i | 0.186719 | − | 0.198784i | ||||
\(907\) | −14011.9 | − | 11757.4i | −0.512963 | − | 0.430427i | 0.349207 | − | 0.937045i | \(-0.386451\pi\) |
−0.862170 | + | 0.506618i | \(0.830895\pi\) | |||||||
\(908\) | −2874.30 | − | 4978.44i | −0.105052 | − | 0.181955i | ||||
\(909\) | −1108.76 | + | 736.243i | −0.0404569 | + | 0.0268643i | ||||
\(910\) | 3236.60 | − | 5605.95i | 0.117903 | − | 0.204215i | ||||
\(911\) | −25252.4 | + | 9191.12i | −0.918386 | + | 0.334265i | −0.757596 | − | 0.652724i | \(-0.773626\pi\) |
−0.160790 | + | 0.986989i | \(0.551404\pi\) | |||||||
\(912\) | 21989.8 | − | 11104.3i | 0.798417 | − | 0.403179i | ||||
\(913\) | −24964.8 | + | 20947.9i | −0.904944 | + | 0.759338i | ||||
\(914\) | 1757.33 | + | 639.616i | 0.0635966 | + | 0.0231473i | ||||
\(915\) | −3795.15 | + | 8851.57i | −0.137119 | + | 0.319808i | ||||
\(916\) | 4096.66 | − | 23233.3i | 0.147770 | − | 0.838045i | ||||
\(917\) | −2891.48 | −0.104128 | ||||||||
\(918\) | −32633.5 | + | 27751.2i | −1.17327 | + | 0.997742i | ||||
\(919\) | −12622.5 | −0.453078 | −0.226539 | − | 0.974002i | \(-0.572741\pi\) | ||||
−0.226539 | + | 0.974002i | \(0.572741\pi\) | |||||||
\(920\) | 647.818 | − | 3673.96i | 0.0232151 | − | 0.131660i | ||||
\(921\) | −5187.22 | − | 6935.78i | −0.185586 | − | 0.248145i | ||||
\(922\) | −35213.3 | − | 12816.6i | −1.25780 | − | 0.457800i | ||||
\(923\) | 5829.10 | − | 4891.19i | 0.207873 | − | 0.174426i | ||||
\(924\) | 4028.78 | + | 2637.11i | 0.143438 | + | 0.0938901i | ||||
\(925\) | 391.693 | − | 142.565i | 0.0139230 | − | 0.00506756i | ||||
\(926\) | 16635.9 | − | 28814.3i | 0.590379 | − | 1.02257i | ||||
\(927\) | 5783.16 | − | 7839.80i | 0.204902 | − | 0.277770i | ||||
\(928\) | 4527.95 | + | 7842.64i | 0.160170 | + | 0.277422i | ||||
\(929\) | −8207.19 | − | 6886.65i | −0.289848 | − | 0.243212i | 0.486256 | − | 0.873817i | \(-0.338362\pi\) |
−0.776104 | + | 0.630605i | \(0.782807\pi\) | |||||||
\(930\) | 18791.6 | + | 62270.3i | 0.662583 | + | 2.19562i | ||||
\(931\) | 3335.13 | + | 18914.5i | 0.117405 | + | 0.665839i | ||||
\(932\) | 1631.11 | + | 9250.50i | 0.0573271 | + | 0.325118i | ||||
\(933\) | −6401.19 | − | 21211.8i | −0.224615 | − | 0.744311i | ||||
\(934\) | −39534.0 | − | 33173.0i | −1.38500 | − | 1.16216i | ||||
\(935\) | 28337.4 | + | 49081.8i | 0.991156 | + | 1.71673i | ||||
\(936\) | −15626.4 | − | 1756.91i | −0.545691 | − | 0.0613531i | ||||
\(937\) | −8051.62 | + | 13945.8i | −0.280720 | + | 0.486222i | −0.971562 | − | 0.236784i | \(-0.923907\pi\) |
0.690842 | + | 0.723006i | \(0.257240\pi\) | |||||||
\(938\) | 7691.26 | − | 2799.39i | 0.267728 | − | 0.0974449i | ||||
\(939\) | −6664.13 | − | 4362.12i | −0.231603 | − | 0.151600i | ||||
\(940\) | −7266.45 | + | 6097.28i | −0.252134 | + | 0.211565i | ||||
\(941\) | −20916.6 | − | 7613.01i | −0.724613 | − | 0.263738i | −0.0467302 | − | 0.998908i | \(-0.514880\pi\) |
−0.677883 | + | 0.735170i | \(0.737102\pi\) | |||||||
\(942\) | −26298.7 | − | 35163.8i | −0.909617 | − | 1.21624i | ||||
\(943\) | 1436.12 | − | 8144.63i | 0.0495932 | − | 0.281257i | ||||
\(944\) | −44779.0 | −1.54389 | ||||||||
\(945\) | 1134.74 | − | 6693.09i | 0.0390616 | − | 0.230398i | ||||
\(946\) | −92831.8 | −3.19051 | ||||||||
\(947\) | −8159.96 | + | 46277.5i | −0.280003 | + | 1.58798i | 0.442602 | + | 0.896718i | \(0.354055\pi\) |
−0.722606 | + | 0.691260i | \(0.757056\pi\) | |||||||
\(948\) | 2714.28 | − | 6330.61i | 0.0929912 | − | 0.216887i | ||||
\(949\) | −5942.77 | − | 2162.99i | −0.203278 | − | 0.0739870i | ||||
\(950\) | −680.910 | + | 571.352i | −0.0232544 | + | 0.0195127i | ||||
\(951\) | 37757.5 | − | 19066.5i | 1.28746 | − | 0.650131i | ||||
\(952\) | 5503.60 | − | 2003.15i | 0.187366 | − | 0.0681958i | ||||
\(953\) | 562.035 | − | 973.474i | 0.0191040 | − | 0.0330891i | −0.856315 | − | 0.516453i | \(-0.827252\pi\) |
0.875419 | + | 0.483364i | \(0.160585\pi\) | |||||||
\(954\) | 2257.82 | + | 36037.0i | 0.0766244 | + | 1.22300i | ||||
\(955\) | −9490.67 | − | 16438.3i | −0.321582 | − | 0.556996i | ||||
\(956\) | −423.246 | − | 355.146i | −0.0143188 | − | 0.0120149i | ||||
\(957\) | 12087.2 | − | 12868.2i | 0.408280 | − | 0.434661i | ||||
\(958\) | 1712.00 | + | 9709.21i | 0.0577370 | + | 0.327443i | ||||
\(959\) | 37.8769 | + | 214.811i | 0.00127540 | + | 0.00723316i | ||||
\(960\) | −6353.57 | − | 1491.09i | −0.213605 | − | 0.0501299i | ||||
\(961\) | 62630.1 | + | 52552.9i | 2.10232 | + | 1.76405i | ||||
\(962\) | 6353.69 | + | 11004.9i | 0.212943 | + | 0.368828i | ||||
\(963\) | 27757.7 | − | 6707.64i | 0.928848 | − | 0.224456i | ||||
\(964\) | −10453.2 | + | 18105.4i | −0.349247 | + | 0.604914i | ||||
\(965\) | 11213.6 | − | 4081.42i | 0.374071 | − | 0.136151i | ||||
\(966\) | 99.9499 | − | 1783.56i | 0.00332902 | − | 0.0594050i | ||||
\(967\) | 35779.8 | − | 30022.8i | 1.18987 | − | 0.998416i | 0.190004 | − | 0.981783i | \(-0.439150\pi\) |
0.999862 | − | 0.0166321i | \(-0.00529441\pi\) | |||||||
\(968\) | −27863.3 | − | 10141.4i | −0.925166 | − | 0.336733i | ||||
\(969\) | 27400.4 | − | 3263.68i | 0.908388 | − | 0.108199i | ||||
\(970\) | −3796.34 | + | 21530.1i | −0.125663 | + | 0.712670i | ||||
\(971\) | −43151.1 | −1.42614 | −0.713071 | − | 0.701091i | \(-0.752696\pi\) | ||||
−0.713071 | + | 0.701091i | \(0.752696\pi\) | |||||||
\(972\) | 13404.7 | − | 3332.90i | 0.442343 | − | 0.109982i | ||||
\(973\) | −8821.82 | −0.290662 | ||||||||
\(974\) | −9020.15 | + | 51155.8i | −0.296739 | + | 1.68289i | ||||
\(975\) | 887.559 | − | 105.718i | 0.0291535 | − | 0.00347249i | ||||
\(976\) | 12667.3 | + | 4610.53i | 0.415442 | + | 0.151209i | ||||
\(977\) | −403.191 | + | 338.317i | −0.0132029 | + | 0.0110785i | −0.649365 | − | 0.760477i | \(-0.724965\pi\) |
0.636162 | + | 0.771555i | \(0.280521\pi\) | |||||||
\(978\) | −2563.79 | + | 45749.8i | −0.0838253 | + | 1.49583i | ||||
\(979\) | 20336.9 | − | 7402.04i | 0.663913 | − | 0.241645i | ||||
\(980\) | −6479.34 | + | 11222.5i | −0.211199 | + | 0.365807i | ||||
\(981\) | 237.341 | − | 57.3532i | 0.00772447 | − | 0.00186661i | ||||
\(982\) | 4787.78 | + | 8292.67i | 0.155585 | + | 0.269480i | ||||
\(983\) | 1109.69 | + | 931.137i | 0.0360056 | + | 0.0302123i | 0.660613 | − | 0.750727i | \(-0.270297\pi\) |
−0.624607 | + | 0.780939i | \(0.714741\pi\) | |||||||
\(984\) | −27186.1 | − | 6380.18i | −0.880754 | − | 0.206700i | ||||
\(985\) | 6883.60 | + | 39038.8i | 0.222670 | + | 1.26282i | ||||
\(986\) | 3123.35 | + | 17713.4i | 0.100880 | + | 0.572120i | ||||
\(987\) | 3712.66 | − | 3952.55i | 0.119732 | − | 0.127468i | ||||
\(988\) | −6499.28 | − | 5453.55i | −0.209281 | − | 0.175608i | ||||
\(989\) | 5391.48 | + | 9338.32i | 0.173346 | + | 0.300244i | ||||
\(990\) | −3649.70 | − | 58252.7i | −0.117167 | − | 1.87009i | ||||
\(991\) | 22811.2 | − | 39510.2i | 0.731203 | − | 1.26648i | −0.225166 | − | 0.974320i | \(-0.572292\pi\) |
0.956369 | − | 0.292161i | \(-0.0943743\pi\) | |||||||
\(992\) | 48248.1 | − | 17560.9i | 1.54423 | − | 0.562055i | ||||
\(993\) | −12615.4 | + | 6370.41i | −0.403158 | + | 0.203584i | ||||
\(994\) | 2235.90 | − | 1876.14i | 0.0713465 | − | 0.0598668i | ||||
\(995\) | 14992.4 | + | 5456.80i | 0.477680 | + | 0.173861i | ||||
\(996\) | −4218.75 | + | 9839.53i | −0.134213 | + | 0.313029i | ||||
\(997\) | 3981.56 | − | 22580.5i | 0.126477 | − | 0.717285i | −0.853943 | − | 0.520366i | \(-0.825795\pi\) |
0.980420 | − | 0.196919i | \(-0.0630934\pi\) | |||||||
\(998\) | −16833.7 | −0.533929 | ||||||||
\(999\) | 10265.0 | + | 8498.68i | 0.325094 | + | 0.269156i |
(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 | 27.4.e.a.25.2 | yes | 48 | |
3.2 | odd | 2 | 81.4.e.a.73.7 | 48 | |||
9.2 | odd | 6 | 243.4.e.a.55.2 | 48 | |||
9.4 | even | 3 | 243.4.e.c.136.2 | 48 | |||
9.5 | odd | 6 | 243.4.e.b.136.7 | 48 | |||
9.7 | even | 3 | 243.4.e.d.55.7 | 48 | |||
27.4 | even | 9 | 243.4.e.c.109.2 | 48 | |||
27.5 | odd | 18 | 243.4.e.a.190.2 | 48 | |||
27.11 | odd | 18 | 729.4.a.c.1.19 | 24 | |||
27.13 | even | 9 | inner | 27.4.e.a.13.2 | ✓ | 48 | |
27.14 | odd | 18 | 81.4.e.a.10.7 | 48 | |||
27.16 | even | 9 | 729.4.a.d.1.6 | 24 | |||
27.22 | even | 9 | 243.4.e.d.190.7 | 48 | |||
27.23 | odd | 18 | 243.4.e.b.109.7 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.13.2 | ✓ | 48 | 27.13 | even | 9 | inner | |
27.4.e.a.25.2 | yes | 48 | 1.1 | even | 1 | trivial | |
81.4.e.a.10.7 | 48 | 27.14 | odd | 18 | |||
81.4.e.a.73.7 | 48 | 3.2 | odd | 2 | |||
243.4.e.a.55.2 | 48 | 9.2 | odd | 6 | |||
243.4.e.a.190.2 | 48 | 27.5 | odd | 18 | |||
243.4.e.b.109.7 | 48 | 27.23 | odd | 18 | |||
243.4.e.b.136.7 | 48 | 9.5 | odd | 6 | |||
243.4.e.c.109.2 | 48 | 27.4 | even | 9 | |||
243.4.e.c.136.2 | 48 | 9.4 | even | 3 | |||
243.4.e.d.55.7 | 48 | 9.7 | even | 3 | |||
243.4.e.d.190.7 | 48 | 27.22 | even | 9 | |||
729.4.a.c.1.19 | 24 | 27.11 | odd | 18 | |||
729.4.a.d.1.6 | 24 | 27.16 | even | 9 |