Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [235,4,Mod(6,235)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(235, base_ring=CyclotomicField(46))
chi = DirichletCharacter(H, H._module([0, 38]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("235.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 235 = 5 \cdot 47 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 235.g (of order \(23\), degree \(22\), 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: | \(13.8654488513\) |
Analytic rank: | \(0\) |
Dimension: | \(550\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{23})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{23}]$ |
Embedding invariants
Embedding label | 6.11 | ||
Character | \(\chi\) | \(=\) | 235.6 |
Dual form | 235.4.g.b.196.11 |
$q$-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 \(\left(\mathbb{Z}/235\mathbb{Z}\right)^\times\).
\(n\) | \(142\) | \(146\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{23}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.261636 | + | 0.113644i | −0.0925021 | + | 0.0401793i | −0.444145 | − | 0.895955i | \(-0.646493\pi\) |
0.351643 | + | 0.936134i | \(0.385623\pi\) | |||||||
\(3\) | −0.360867 | + | 5.27570i | −0.0694490 | + | 1.01531i | 0.824130 | + | 0.566401i | \(0.191665\pi\) |
−0.893579 | + | 0.448907i | \(0.851814\pi\) | |||||||
\(4\) | −5.40489 | + | 5.78722i | −0.675611 | + | 0.723403i | ||||
\(5\) | −4.27210 | + | 2.59792i | −0.382108 | + | 0.232365i | ||||
\(6\) | −0.505137 | − | 1.42132i | −0.0343702 | − | 0.0967086i | ||||
\(7\) | −7.14630 | − | 34.3899i | −0.385864 | − | 1.85688i | −0.503746 | − | 0.863852i | \(-0.668045\pi\) |
0.117881 | − | 0.993028i | \(-0.462390\pi\) | |||||||
\(8\) | 1.52062 | − | 4.27863i | 0.0672027 | − | 0.189090i | ||||
\(9\) | −0.954221 | − | 0.131155i | −0.0353415 | − | 0.00485758i | ||||
\(10\) | 0.822493 | − | 1.16521i | 0.0260095 | − | 0.0368471i | ||||
\(11\) | −13.9627 | + | 11.3595i | −0.382718 | + | 0.311365i | −0.802943 | − | 0.596056i | \(-0.796734\pi\) |
0.420225 | + | 0.907420i | \(0.361951\pi\) | |||||||
\(12\) | −28.5812 | − | 30.6030i | −0.687556 | − | 0.736193i | ||||
\(13\) | 23.9898 | + | 6.72164i | 0.511814 | + | 0.143404i | 0.516002 | − | 0.856588i | \(-0.327420\pi\) |
−0.00418739 | + | 0.999991i | \(0.501333\pi\) | |||||||
\(14\) | 5.77794 | + | 8.18548i | 0.110301 | + | 0.156262i | ||||
\(15\) | −12.1642 | − | 23.4758i | −0.209385 | − | 0.404095i | ||||
\(16\) | −4.23470 | − | 61.9091i | −0.0661672 | − | 0.967330i | ||||
\(17\) | −85.1093 | − | 69.2416i | −1.21424 | − | 0.987856i | −0.999939 | − | 0.0110879i | \(-0.996471\pi\) |
−0.214299 | − | 0.976768i | \(-0.568747\pi\) | |||||||
\(18\) | 0.264563 | − | 0.0741271i | 0.00346434 | − | 0.000970663i | ||||
\(19\) | 64.5245 | + | 39.2382i | 0.779101 | + | 0.473782i | 0.851990 | − | 0.523558i | \(-0.175396\pi\) |
−0.0728886 | + | 0.997340i | \(0.523222\pi\) | |||||||
\(20\) | 8.05547 | − | 38.7650i | 0.0900629 | − | 0.433406i | ||||
\(21\) | 184.009 | − | 25.2915i | 1.91210 | − | 0.262813i | ||||
\(22\) | 2.36219 | − | 4.55882i | 0.0228918 | − | 0.0441793i | ||||
\(23\) | 14.7718 | + | 6.41632i | 0.133919 | + | 0.0581693i | 0.464298 | − | 0.885679i | \(-0.346307\pi\) |
−0.330378 | + | 0.943849i | \(0.607176\pi\) | |||||||
\(24\) | 22.0240 | + | 9.56637i | 0.187318 | + | 0.0813636i | ||||
\(25\) | 11.5016 | − | 22.1971i | 0.0920130 | − | 0.177577i | ||||
\(26\) | −7.04047 | + | 0.967690i | −0.0531058 | + | 0.00729922i | ||||
\(27\) | −28.0125 | + | 134.803i | −0.199667 | + | 0.960850i | ||||
\(28\) | 237.647 | + | 144.516i | 1.60397 | + | 0.975393i | ||||
\(29\) | 230.708 | − | 64.6413i | 1.47729 | − | 0.413917i | 0.565558 | − | 0.824708i | \(-0.308661\pi\) |
0.911729 | + | 0.410792i | \(0.134748\pi\) | |||||||
\(30\) | 5.85047 | + | 4.75971i | 0.0356048 | + | 0.0289667i | ||||
\(31\) | 4.42886 | + | 64.7476i | 0.0256596 | + | 0.375129i | 0.992709 | + | 0.120539i | \(0.0384623\pi\) |
−0.967049 | + | 0.254590i | \(0.918059\pi\) | |||||||
\(32\) | 24.8561 | + | 47.9701i | 0.137312 | + | 0.265000i | ||||
\(33\) | −54.8904 | − | 77.7620i | −0.289552 | − | 0.410201i | ||||
\(34\) | 30.1365 | + | 8.44386i | 0.152011 | + | 0.0425915i | ||||
\(35\) | 119.872 | + | 128.351i | 0.578916 | + | 0.619867i | ||||
\(36\) | 5.91648 | − | 4.81341i | 0.0273911 | − | 0.0222843i | ||||
\(37\) | 65.7731 | − | 93.1792i | 0.292244 | − | 0.414015i | −0.644187 | − | 0.764868i | \(-0.722804\pi\) |
0.936431 | + | 0.350853i | \(0.114108\pi\) | |||||||
\(38\) | −21.3411 | − | 2.93327i | −0.0911048 | − | 0.0125221i | ||||
\(39\) | −44.1185 | + | 124.137i | −0.181144 | + | 0.509690i | ||||
\(40\) | 4.61927 | + | 22.2292i | 0.0182593 | + | 0.0878685i | ||||
\(41\) | −94.1231 | − | 264.837i | −0.358526 | − | 1.00880i | −0.975152 | − | 0.221539i | \(-0.928892\pi\) |
0.616626 | − | 0.787256i | \(-0.288499\pi\) | |||||||
\(42\) | −45.2692 | + | 27.5288i | −0.166314 | + | 0.101138i | ||||
\(43\) | 266.680 | − | 285.545i | 0.945776 | − | 1.01268i | −0.0541244 | − | 0.998534i | \(-0.517237\pi\) |
0.999900 | − | 0.0141442i | \(-0.00450238\pi\) | |||||||
\(44\) | 9.72686 | − | 142.202i | 0.0333268 | − | 0.487221i | ||||
\(45\) | 4.41725 | − | 1.91868i | 0.0146330 | − | 0.00635601i | ||||
\(46\) | −4.59402 | −0.0147250 | ||||||||
\(47\) | −56.3761 | − | 317.246i | −0.174964 | − | 0.984575i | ||||
\(48\) | 328.142 | 0.986733 | ||||||||
\(49\) | −816.992 | + | 354.870i | −2.38190 | + | 1.03461i | ||||
\(50\) | −0.486656 | + | 7.11465i | −0.00137647 | + | 0.0201233i | ||||
\(51\) | 396.011 | − | 424.024i | 1.08731 | − | 1.16422i | ||||
\(52\) | −168.562 | + | 102.505i | −0.449526 | + | 0.273363i | ||||
\(53\) | −57.0948 | − | 160.649i | −0.147973 | − | 0.416356i | 0.844990 | − | 0.534782i | \(-0.179606\pi\) |
−0.992963 | + | 0.118426i | \(0.962215\pi\) | |||||||
\(54\) | −7.99059 | − | 38.4528i | −0.0201367 | − | 0.0969031i | ||||
\(55\) | 30.1389 | − | 84.8027i | 0.0738895 | − | 0.207905i | ||||
\(56\) | −158.008 | − | 21.7177i | −0.377049 | − | 0.0518242i | ||||
\(57\) | −230.294 | + | 326.252i | −0.535143 | + | 0.758124i | ||||
\(58\) | −53.0152 | + | 43.1311i | −0.120021 | + | 0.0976446i | ||||
\(59\) | −278.968 | − | 298.701i | −0.615568 | − | 0.659112i | 0.344530 | − | 0.938775i | \(-0.388038\pi\) |
−0.960098 | + | 0.279663i | \(0.909777\pi\) | |||||||
\(60\) | 201.606 | + | 56.4872i | 0.433786 | + | 0.121541i | ||||
\(61\) | 162.026 | + | 229.538i | 0.340087 | + | 0.481793i | 0.950690 | − | 0.310144i | \(-0.100377\pi\) |
−0.610603 | + | 0.791937i | \(0.709073\pi\) | |||||||
\(62\) | −8.51694 | − | 16.4370i | −0.0174460 | − | 0.0336693i | ||||
\(63\) | 2.30876 | + | 33.7528i | 0.00461708 | + | 0.0674993i | ||||
\(64\) | 373.132 | + | 303.565i | 0.728773 | + | 0.592901i | ||||
\(65\) | −119.949 | + | 33.6082i | −0.228890 | + | 0.0641320i | ||||
\(66\) | 23.1985 | + | 14.1073i | 0.0432657 | + | 0.0263105i | ||||
\(67\) | 150.622 | − | 724.833i | 0.274648 | − | 1.32168i | −0.585100 | − | 0.810961i | \(-0.698945\pi\) |
0.859748 | − | 0.510718i | \(-0.170620\pi\) | |||||||
\(68\) | 860.723 | − | 118.304i | 1.53497 | − | 0.210977i | ||||
\(69\) | −39.1812 | + | 75.6163i | −0.0683603 | + | 0.131929i | ||||
\(70\) | −45.9492 | − | 19.9585i | −0.0784568 | − | 0.0340786i | ||||
\(71\) | −2.36784 | − | 1.02850i | −0.00395790 | − | 0.00171916i | 0.396421 | − | 0.918069i | \(-0.370252\pi\) |
−0.400379 | + | 0.916350i | \(0.631122\pi\) | |||||||
\(72\) | −2.01217 | + | 3.88332i | −0.00329357 | + | 0.00635630i | ||||
\(73\) | −233.503 | + | 32.0943i | −0.374377 | + | 0.0514569i | −0.320902 | − | 0.947112i | \(-0.603986\pi\) |
−0.0534746 | + | 0.998569i | \(0.517030\pi\) | |||||||
\(74\) | −6.61928 | + | 31.8537i | −0.0103983 | + | 0.0500395i | ||||
\(75\) | 112.955 | + | 68.6893i | 0.173905 | + | 0.105754i | ||||
\(76\) | −575.828 | + | 161.339i | −0.869105 | + | 0.243512i | ||||
\(77\) | 490.432 | + | 398.996i | 0.725844 | + | 0.590518i | ||||
\(78\) | −2.56456 | − | 37.4926i | −0.00372282 | − | 0.0544256i | ||||
\(79\) | −427.849 | − | 825.711i | −0.609326 | − | 1.17595i | −0.969966 | − | 0.243241i | \(-0.921789\pi\) |
0.360640 | − | 0.932705i | \(-0.382558\pi\) | |||||||
\(80\) | 178.926 | + | 253.480i | 0.250057 | + | 0.354250i | ||||
\(81\) | −726.115 | − | 203.448i | −0.996043 | − | 0.279078i | ||||
\(82\) | 54.7232 | + | 58.5942i | 0.0736971 | + | 0.0789104i | ||||
\(83\) | −640.674 | + | 521.227i | −0.847267 | + | 0.689303i | −0.952299 | − | 0.305166i | \(-0.901288\pi\) |
0.105032 | + | 0.994469i | \(0.466505\pi\) | |||||||
\(84\) | −848.183 | + | 1201.60i | −1.10172 | + | 1.56078i | ||||
\(85\) | 543.479 | + | 74.6995i | 0.693513 | + | 0.0953212i | ||||
\(86\) | −37.3225 | + | 105.015i | −0.0467975 | + | 0.131676i | ||||
\(87\) | 257.773 | + | 1240.47i | 0.317657 | + | 1.52865i | ||||
\(88\) | 27.3710 | + | 77.0145i | 0.0331563 | + | 0.0932929i | ||||
\(89\) | 136.588 | − | 83.0609i | 0.162677 | − | 0.0989263i | −0.435886 | − | 0.900002i | \(-0.643565\pi\) |
0.598563 | + | 0.801076i | \(0.295739\pi\) | |||||||
\(90\) | −0.937663 | + | 1.00399i | −0.00109820 | + | 0.00117589i | ||||
\(91\) | 59.7178 | − | 873.043i | 0.0687926 | − | 1.00571i | ||||
\(92\) | −116.973 | + | 50.8084i | −0.132557 | + | 0.0575777i | ||||
\(93\) | −343.187 | −0.382654 | ||||||||
\(94\) | 50.8032 | + | 76.5959i | 0.0557441 | + | 0.0840453i | ||||
\(95\) | −377.592 | −0.407791 | ||||||||
\(96\) | −262.045 | + | 113.822i | −0.278593 | + | 0.121010i | ||||
\(97\) | 110.905 | − | 1621.37i | 0.116090 | − | 1.69717i | −0.466595 | − | 0.884471i | \(-0.654519\pi\) |
0.582684 | − | 0.812698i | \(-0.302002\pi\) | |||||||
\(98\) | 173.425 | − | 185.693i | 0.178761 | − | 0.191406i | ||||
\(99\) | 14.8133 | − | 9.00818i | 0.0150383 | − | 0.00914501i | ||||
\(100\) | 66.2947 | + | 186.535i | 0.0662947 | + | 0.186535i | ||||
\(101\) | −235.870 | − | 1135.07i | −0.232376 | − | 1.11825i | −0.919918 | − | 0.392110i | \(-0.871745\pi\) |
0.687542 | − | 0.726144i | \(-0.258690\pi\) | |||||||
\(102\) | −55.4226 | + | 155.944i | −0.0538005 | + | 0.151380i | ||||
\(103\) | 576.802 | + | 79.2796i | 0.551786 | + | 0.0758413i | 0.406673 | − | 0.913574i | \(-0.366689\pi\) |
0.145113 | + | 0.989415i | \(0.453645\pi\) | |||||||
\(104\) | 65.2389 | − | 92.4225i | 0.0615115 | − | 0.0871420i | ||||
\(105\) | −720.401 | + | 586.090i | −0.669561 | + | 0.544729i | ||||
\(106\) | 33.1949 | + | 35.5431i | 0.0304167 | + | 0.0325684i | ||||
\(107\) | 1186.16 | + | 332.347i | 1.07169 | + | 0.300273i | 0.760008 | − | 0.649914i | \(-0.225195\pi\) |
0.311681 | + | 0.950187i | \(0.399108\pi\) | |||||||
\(108\) | −628.733 | − | 890.712i | −0.560184 | − | 0.793600i | ||||
\(109\) | 343.181 | + | 662.309i | 0.301567 | + | 0.581998i | 0.989628 | − | 0.143655i | \(-0.0458857\pi\) |
−0.688061 | + | 0.725653i | \(0.741538\pi\) | |||||||
\(110\) | 1.75194 | + | 25.6125i | 0.00151856 | + | 0.0222005i | ||||
\(111\) | 467.850 | + | 380.624i | 0.400057 | + | 0.325471i | ||||
\(112\) | −2098.79 | + | 588.052i | −1.77068 | + | 0.496122i | ||||
\(113\) | −900.792 | − | 547.783i | −0.749906 | − | 0.456028i | 0.0919274 | − | 0.995766i | \(-0.470697\pi\) |
−0.841833 | + | 0.539738i | \(0.818523\pi\) | |||||||
\(114\) | 23.1763 | − | 111.531i | 0.0190409 | − | 0.0916298i | ||||
\(115\) | −79.7758 | + | 10.9649i | −0.0646881 | + | 0.00889118i | ||||
\(116\) | −872.856 | + | 1684.53i | −0.698643 | + | 1.34832i | ||||
\(117\) | −22.0100 | − | 9.56031i | −0.0173917 | − | 0.00755428i | ||||
\(118\) | 106.934 | + | 46.4478i | 0.0834240 | + | 0.0362362i | ||||
\(119\) | −1772.99 | + | 3421.72i | −1.36580 | + | 2.63587i | ||||
\(120\) | −118.941 | + | 16.3481i | −0.0904817 | + | 0.0124364i | ||||
\(121\) | −204.881 | + | 985.944i | −0.153931 | + | 0.740754i | ||||
\(122\) | −68.4775 | − | 41.6421i | −0.0508169 | − | 0.0309024i | ||||
\(123\) | 1431.17 | − | 400.994i | 1.04914 | − | 0.293954i | ||||
\(124\) | −398.646 | − | 324.323i | −0.288705 | − | 0.234879i | ||||
\(125\) | 8.53030 | + | 124.709i | 0.00610379 | + | 0.0892342i | ||||
\(126\) | −4.43987 | − | 8.56856i | −0.00313917 | − | 0.00605832i | ||||
\(127\) | 623.295 | + | 883.007i | 0.435500 | + | 0.616962i | 0.974241 | − | 0.225509i | \(-0.0724044\pi\) |
−0.538742 | + | 0.842471i | \(0.681100\pi\) | |||||||
\(128\) | −548.314 | − | 153.630i | −0.378630 | − | 0.106087i | ||||
\(129\) | 1410.21 | + | 1509.97i | 0.962497 | + | 1.03058i | ||||
\(130\) | 27.5636 | − | 22.4246i | 0.0185961 | − | 0.0151290i | ||||
\(131\) | −169.009 | + | 239.431i | −0.112721 | + | 0.159689i | −0.869419 | − | 0.494075i | \(-0.835507\pi\) |
0.756699 | + | 0.653764i | \(0.226811\pi\) | |||||||
\(132\) | 746.703 | + | 102.632i | 0.492365 | + | 0.0676740i | ||||
\(133\) | 888.286 | − | 2499.40i | 0.579129 | − | 1.62951i | ||||
\(134\) | 42.9651 | + | 206.760i | 0.0276987 | + | 0.133293i | ||||
\(135\) | −230.537 | − | 648.668i | −0.146974 | − | 0.413544i | ||||
\(136\) | −425.678 | + | 258.861i | −0.268394 | + | 0.163214i | ||||
\(137\) | −288.755 | + | 309.181i | −0.180073 | + | 0.192811i | −0.814486 | − | 0.580183i | \(-0.802981\pi\) |
0.634413 | + | 0.772994i | \(0.281242\pi\) | |||||||
\(138\) | 1.65783 | − | 24.2366i | 0.00102264 | − | 0.0149504i | ||||
\(139\) | −55.1165 | + | 23.9405i | −0.0336325 | + | 0.0146087i | −0.415150 | − | 0.909753i | \(-0.636271\pi\) |
0.381518 | + | 0.924361i | \(0.375401\pi\) | |||||||
\(140\) | −1390.69 | −0.839535 | ||||||||
\(141\) | 1694.04 | − | 182.939i | 1.01180 | − | 0.109264i | ||||
\(142\) | 0.736395 | 0.000435189 | ||||||||
\(143\) | −411.316 | + | 178.660i | −0.240532 | + | 0.104478i | ||||
\(144\) | −4.07883 | + | 59.6304i | −0.00236043 | + | 0.0345083i | ||||
\(145\) | −817.673 | + | 875.514i | −0.468304 | + | 0.501431i | ||||
\(146\) | 57.4455 | − | 34.9334i | 0.0325632 | − | 0.0198021i | ||||
\(147\) | −1577.36 | − | 4438.26i | −0.885023 | − | 2.49021i | ||||
\(148\) | 183.753 | + | 884.267i | 0.102057 | + | 0.491123i | ||||
\(149\) | −182.288 | + | 512.910i | −0.100226 | + | 0.282008i | −0.981764 | − | 0.190105i | \(-0.939117\pi\) |
0.881538 | + | 0.472113i | \(0.156509\pi\) | |||||||
\(150\) | −37.3591 | − | 5.13489i | −0.0203357 | − | 0.00279508i | ||||
\(151\) | 770.335 | − | 1091.32i | 0.415159 | − | 0.588146i | −0.554629 | − | 0.832098i | \(-0.687140\pi\) |
0.969787 | + | 0.243952i | \(0.0784440\pi\) | |||||||
\(152\) | 266.003 | − | 216.409i | 0.141945 | − | 0.115481i | ||||
\(153\) | 72.1318 | + | 77.2343i | 0.0381144 | + | 0.0408106i | ||||
\(154\) | −173.658 | − | 48.6568i | −0.0908687 | − | 0.0254602i | ||||
\(155\) | −187.130 | − | 265.102i | −0.0969717 | − | 0.137378i | ||||
\(156\) | −479.956 | − | 926.272i | −0.246328 | − | 0.475392i | ||||
\(157\) | −167.387 | − | 2447.11i | −0.0850887 | − | 1.24395i | −0.822601 | − | 0.568619i | \(-0.807478\pi\) |
0.737512 | − | 0.675334i | \(-0.236000\pi\) | |||||||
\(158\) | 205.778 | + | 167.413i | 0.103613 | + | 0.0842952i | ||||
\(159\) | 868.140 | − | 243.242i | 0.433006 | − | 0.121323i | ||||
\(160\) | −230.810 | − | 140.359i | −0.114045 | − | 0.0693521i | ||||
\(161\) | 115.092 | − | 553.855i | 0.0563388 | − | 0.271117i | ||||
\(162\) | 213.098 | − | 29.2897i | 0.103349 | − | 0.0142050i | ||||
\(163\) | −56.4138 | + | 108.874i | −0.0271084 | + | 0.0523169i | −0.901054 | − | 0.433707i | \(-0.857205\pi\) |
0.873946 | + | 0.486024i | \(0.161553\pi\) | |||||||
\(164\) | 2041.40 | + | 886.703i | 0.971989 | + | 0.422194i | ||||
\(165\) | 436.517 | + | 189.606i | 0.205956 | + | 0.0894595i | ||||
\(166\) | 108.389 | − | 209.181i | 0.0506782 | − | 0.0978046i | ||||
\(167\) | 2175.99 | − | 299.084i | 1.00828 | − | 0.138586i | 0.386925 | − | 0.922111i | \(-0.373537\pi\) |
0.621360 | + | 0.783526i | \(0.286581\pi\) | |||||||
\(168\) | 171.596 | − | 825.767i | 0.0788032 | − | 0.379222i | ||||
\(169\) | −1346.83 | − | 819.024i | −0.613030 | − | 0.372792i | ||||
\(170\) | −150.683 | + | 42.2193i | −0.0679814 | + | 0.0190475i | ||||
\(171\) | −56.4243 | − | 45.9046i | −0.0252332 | − | 0.0205287i | ||||
\(172\) | 211.134 | + | 3086.67i | 0.0935979 | + | 1.36835i | ||||
\(173\) | −1049.14 | − | 2024.74i | −0.461065 | − | 0.889815i | −0.998906 | − | 0.0467688i | \(-0.985108\pi\) |
0.537841 | − | 0.843047i | \(-0.319240\pi\) | |||||||
\(174\) | −208.415 | − | 295.257i | −0.0908040 | − | 0.128640i | ||||
\(175\) | −845.551 | − | 236.912i | −0.365244 | − | 0.102336i | ||||
\(176\) | 762.383 | + | 816.312i | 0.326516 | + | 0.349613i | ||||
\(177\) | 1676.53 | − | 1363.96i | 0.711953 | − | 0.579216i | ||||
\(178\) | −26.2968 | + | 37.2541i | −0.0110732 | + | 0.0156872i | ||||
\(179\) | −3192.23 | − | 438.762i | −1.33295 | − | 0.183210i | −0.565730 | − | 0.824591i | \(-0.691406\pi\) |
−0.767223 | + | 0.641380i | \(0.778362\pi\) | |||||||
\(180\) | −12.7709 | + | 35.9339i | −0.00528826 | + | 0.0148797i | ||||
\(181\) | −23.4160 | − | 112.684i | −0.00961602 | − | 0.0462748i | 0.974003 | − | 0.226537i | \(-0.0727403\pi\) |
−0.983619 | + | 0.180262i | \(0.942306\pi\) | |||||||
\(182\) | 83.5921 | + | 235.206i | 0.0340454 | + | 0.0957945i | ||||
\(183\) | −1269.44 | + | 771.966i | −0.512787 | + | 0.311833i | ||||
\(184\) | 49.9154 | − | 53.4464i | 0.0199990 | − | 0.0214137i | ||||
\(185\) | −38.9168 | + | 568.944i | −0.0154661 | + | 0.226106i | ||||
\(186\) | 89.7899 | − | 39.0012i | 0.0353963 | − | 0.0153748i | ||||
\(187\) | 1974.90 | 0.772294 | ||||||||
\(188\) | 2140.68 | + | 1388.42i | 0.830451 | + | 0.538620i | ||||
\(189\) | 4836.06 | 1.86123 | ||||||||
\(190\) | 98.7916 | − | 42.9113i | 0.0377216 | − | 0.0163848i | ||||
\(191\) | −102.397 | + | 1497.00i | −0.0387917 | + | 0.567115i | 0.937128 | + | 0.348986i | \(0.113474\pi\) |
−0.975920 | + | 0.218129i | \(0.930004\pi\) | |||||||
\(192\) | −1736.17 | + | 1858.98i | −0.652590 | + | 0.698753i | ||||
\(193\) | 3642.91 | − | 2215.30i | 1.35866 | − | 0.826222i | 0.364203 | − | 0.931320i | \(-0.381342\pi\) |
0.994462 | + | 0.105097i | \(0.0335154\pi\) | |||||||
\(194\) | 155.243 | + | 436.812i | 0.0574526 | + | 0.161656i | ||||
\(195\) | −134.021 | − | 644.944i | −0.0492176 | − | 0.236848i | ||||
\(196\) | 2362.04 | − | 6646.14i | 0.860801 | − | 2.42206i | ||||
\(197\) | −2938.21 | − | 403.848i | −1.06264 | − | 0.146056i | −0.416390 | − | 0.909186i | \(-0.636705\pi\) |
−0.646245 | + | 0.763130i | \(0.723662\pi\) | |||||||
\(198\) | −2.85196 | + | 4.04031i | −0.00102364 | + | 0.00145016i | ||||
\(199\) | −3188.23 | + | 2593.82i | −1.13572 | + | 0.923975i | −0.997789 | − | 0.0664670i | \(-0.978827\pi\) |
−0.137929 | + | 0.990442i | \(0.544045\pi\) | |||||||
\(200\) | −77.4836 | − | 82.9646i | −0.0273946 | − | 0.0293324i | ||||
\(201\) | 3769.65 | + | 1056.21i | 1.32284 | + | 0.370642i | ||||
\(202\) | 190.706 | + | 270.169i | 0.0664260 | + | 0.0941042i | ||||
\(203\) | −3871.71 | − | 7472.07i | −1.33863 | − | 2.58343i | ||||
\(204\) | 313.527 | + | 4583.60i | 0.107604 | + | 1.57312i | ||||
\(205\) | 1090.13 | + | 886.885i | 0.371404 | + | 0.302160i | ||||
\(206\) | −159.922 | + | 44.8079i | −0.0540887 | + | 0.0151549i | ||||
\(207\) | −13.2541 | − | 8.05998i | −0.00445035 | − | 0.00270632i | ||||
\(208\) | 314.541 | − | 1513.65i | 0.104853 | − | 0.504582i | ||||
\(209\) | −1346.66 | + | 185.094i | −0.445695 | + | 0.0612594i | ||||
\(210\) | 121.877 | − | 235.211i | 0.0400490 | − | 0.0772911i | ||||
\(211\) | 3969.16 | + | 1724.05i | 1.29502 | + | 0.562505i | 0.929679 | − | 0.368370i | \(-0.120084\pi\) |
0.365338 | + | 0.930875i | \(0.380954\pi\) | |||||||
\(212\) | 1238.30 | + | 537.871i | 0.401165 | + | 0.174251i | ||||
\(213\) | 6.28053 | − | 12.1209i | 0.00202035 | − | 0.00389910i | ||||
\(214\) | −348.112 | + | 47.8468i | −0.111198 | + | 0.0152838i | ||||
\(215\) | −397.461 | + | 1912.69i | −0.126077 | + | 0.606718i | ||||
\(216\) | 534.177 | + | 324.840i | 0.168269 | + | 0.102327i | ||||
\(217\) | 2195.01 | − | 615.014i | 0.686669 | − | 0.192396i | ||||
\(218\) | −165.056 | − | 134.283i | −0.0512799 | − | 0.0417193i | ||||
\(219\) | −85.0560 | − | 1243.48i | −0.0262445 | − | 0.383682i | ||||
\(220\) | 327.874 | + | 632.769i | 0.100479 | + | 0.193915i | ||||
\(221\) | −1576.34 | − | 2233.17i | −0.479802 | − | 0.679725i | ||||
\(222\) | −165.662 | − | 46.4163i | −0.0500833 | − | 0.0140327i | ||||
\(223\) | 2650.70 | + | 2838.21i | 0.795983 | + | 0.852290i | 0.991727 | − | 0.128365i | \(-0.0409730\pi\) |
−0.195744 | + | 0.980655i | \(0.562712\pi\) | |||||||
\(224\) | 1472.06 | − | 1197.61i | 0.439089 | − | 0.357226i | ||||
\(225\) | −13.8864 | + | 19.6725i | −0.00411447 | + | 0.00582888i | ||||
\(226\) | 297.932 | + | 40.9498i | 0.0876908 | + | 0.0120528i | ||||
\(227\) | −1833.31 | + | 5158.45i | −0.536041 | + | 1.50827i | 0.296898 | + | 0.954909i | \(0.404048\pi\) |
−0.832939 | + | 0.553365i | \(0.813344\pi\) | |||||||
\(228\) | −643.380 | − | 3096.11i | −0.186881 | − | 0.899321i | ||||
\(229\) | 1521.70 | + | 4281.66i | 0.439114 | + | 1.23555i | 0.931042 | + | 0.364912i | \(0.118901\pi\) |
−0.491929 | + | 0.870636i | \(0.663708\pi\) | |||||||
\(230\) | 19.6261 | − | 11.9349i | 0.00562655 | − | 0.00342158i | ||||
\(231\) | −2281.96 | + | 2443.39i | −0.649967 | + | 0.695944i | ||||
\(232\) | 74.2438 | − | 1085.41i | 0.0210101 | − | 0.307157i | ||||
\(233\) | −2615.43 | + | 1136.04i | −0.735375 | + | 0.319418i | −0.732676 | − | 0.680578i | \(-0.761729\pi\) |
−0.00269918 | + | 0.999996i | \(0.500859\pi\) | |||||||
\(234\) | 6.84508 | 0.00191230 | ||||||||
\(235\) | 1065.02 | + | 1208.84i | 0.295636 | + | 0.335558i | ||||
\(236\) | 3236.44 | 0.892688 | ||||||||
\(237\) | 4510.60 | − | 1959.23i | 1.23627 | − | 0.536986i | ||||
\(238\) | 75.0187 | − | 1096.73i | 0.0204317 | − | 0.298701i | ||||
\(239\) | 1157.10 | − | 1238.95i | 0.313165 | − | 0.335318i | −0.554763 | − | 0.832009i | \(-0.687191\pi\) |
0.867927 | + | 0.496691i | \(0.165452\pi\) | |||||||
\(240\) | −1401.85 | + | 852.486i | −0.377039 | + | 0.229282i | ||||
\(241\) | −1967.37 | − | 5535.66i | −0.525849 | − | 1.47960i | −0.846494 | − | 0.532398i | \(-0.821291\pi\) |
0.320645 | − | 0.947200i | \(-0.396100\pi\) | |||||||
\(242\) | −58.4427 | − | 281.242i | −0.0155241 | − | 0.0747062i | ||||
\(243\) | 90.4633 | − | 254.539i | 0.0238816 | − | 0.0671963i | ||||
\(244\) | −2204.12 | − | 302.949i | −0.578297 | − | 0.0794850i | ||||
\(245\) | 2568.35 | − | 3638.52i | 0.669737 | − | 0.948801i | ||||
\(246\) | −328.873 | + | 267.558i | −0.0852365 | + | 0.0693451i | ||||
\(247\) | 1284.19 | + | 1375.03i | 0.330813 | + | 0.354214i | ||||
\(248\) | 283.765 | + | 79.5073i | 0.0726577 | + | 0.0203577i | ||||
\(249\) | −2518.64 | − | 3568.10i | −0.641013 | − | 0.908108i | ||||
\(250\) | −16.4043 | − | 31.6588i | −0.00414999 | − | 0.00800911i | ||||
\(251\) | 217.622 | + | 3181.52i | 0.0547258 | + | 0.800063i | 0.941320 | + | 0.337515i | \(0.109586\pi\) |
−0.886594 | + | 0.462548i | \(0.846935\pi\) | |||||||
\(252\) | −207.814 | − | 169.069i | −0.0519485 | − | 0.0422633i | ||||
\(253\) | −279.140 | + | 78.2114i | −0.0693652 | + | 0.0194352i | ||||
\(254\) | −263.425 | − | 160.192i | −0.0650738 | − | 0.0395722i | ||||
\(255\) | −590.216 | + | 2840.28i | −0.144944 | + | 0.697510i | ||||
\(256\) | −3651.39 | + | 501.872i | −0.891453 | + | 0.122527i | ||||
\(257\) | 3453.41 | − | 6664.79i | 0.838202 | − | 1.61766i | 0.0528549 | − | 0.998602i | \(-0.483168\pi\) |
0.785348 | − | 0.619055i | \(-0.212484\pi\) | |||||||
\(258\) | −540.561 | − | 234.799i | −0.130441 | − | 0.0566586i | ||||
\(259\) | −3674.46 | − | 1596.04i | −0.881543 | − | 0.382908i | ||||
\(260\) | 453.814 | − | 875.821i | 0.108247 | − | 0.208908i | ||||
\(261\) | −228.624 | + | 31.4237i | −0.0542202 | + | 0.00745240i | ||||
\(262\) | 17.0088 | − | 81.8507i | 0.00401071 | − | 0.0193006i | ||||
\(263\) | −5728.80 | − | 3483.76i | −1.34317 | − | 0.816798i | −0.350371 | − | 0.936611i | \(-0.613944\pi\) |
−0.992797 | + | 0.119813i | \(0.961771\pi\) | |||||||
\(264\) | −416.182 | + | 116.609i | −0.0970237 | + | 0.0271848i | ||||
\(265\) | 661.268 | + | 537.982i | 0.153288 | + | 0.124709i | ||||
\(266\) | 51.6352 | + | 754.880i | 0.0119021 | + | 0.174002i | ||||
\(267\) | 388.914 | + | 750.570i | 0.0891429 | + | 0.172038i | ||||
\(268\) | 3380.68 | + | 4789.33i | 0.770551 | + | 1.09162i | ||||
\(269\) | −5693.11 | − | 1595.13i | −1.29039 | − | 0.361550i | −0.444919 | − | 0.895571i | \(-0.646767\pi\) |
−0.845471 | + | 0.534021i | \(0.820680\pi\) | |||||||
\(270\) | 134.034 | + | 143.515i | 0.0302113 | + | 0.0323484i | ||||
\(271\) | 4112.96 | − | 3346.14i | 0.921936 | − | 0.750051i | −0.0466026 | − | 0.998914i | \(-0.514839\pi\) |
0.968539 | + | 0.248863i | \(0.0800568\pi\) | |||||||
\(272\) | −3926.27 | + | 5562.26i | −0.875240 | + | 1.23993i | ||||
\(273\) | 4584.36 | + | 630.106i | 1.01633 | + | 0.139691i | ||||
\(274\) | 40.4118 | − | 113.708i | 0.00891010 | − | 0.0250706i | ||||
\(275\) | 91.5543 | + | 440.584i | 0.0200761 | + | 0.0966116i | ||||
\(276\) | −225.838 | − | 635.448i | −0.0492531 | − | 0.138585i | ||||
\(277\) | −2095.94 | + | 1274.57i | −0.454632 | + | 0.276468i | −0.728174 | − | 0.685392i | \(-0.759631\pi\) |
0.273542 | + | 0.961860i | \(0.411805\pi\) | |||||||
\(278\) | 11.6997 | − | 12.5274i | 0.00252411 | − | 0.00270266i | ||||
\(279\) | 4.26584 | − | 62.3644i | 0.000915374 | − | 0.0133823i | ||||
\(280\) | 731.448 | − | 317.713i | 0.156116 | − | 0.0678106i | ||||
\(281\) | 4865.24 | 1.03287 | 0.516434 | − | 0.856327i | \(-0.327259\pi\) | ||||
0.516434 | + | 0.856327i | \(0.327259\pi\) | |||||||
\(282\) | −422.430 | + | 240.381i | −0.0892033 | + | 0.0507606i | ||||
\(283\) | 6651.39 | 1.39712 | 0.698558 | − | 0.715553i | \(-0.253825\pi\) | ||||
0.698558 | + | 0.715553i | \(0.253825\pi\) | |||||||
\(284\) | 18.7501 | − | 8.14431i | 0.00391765 | − | 0.00170168i | ||||
\(285\) | 136.261 | − | 1992.06i | 0.0283207 | − | 0.414034i | ||||
\(286\) | 87.3113 | − | 93.4876i | 0.0180518 | − | 0.0193288i | ||||
\(287\) | −8435.09 | + | 5129.49i | −1.73487 | + | 1.05500i | ||||
\(288\) | −17.4267 | − | 49.0341i | −0.00356555 | − | 0.0100325i | ||||
\(289\) | 1449.62 | + | 6975.97i | 0.295059 | + | 1.41990i | ||||
\(290\) | 114.435 | − | 321.989i | 0.0231719 | − | 0.0651995i | ||||
\(291\) | 8513.85 | + | 1170.20i | 1.71509 | + | 0.235733i | ||||
\(292\) | 1076.32 | − | 1524.80i | 0.215709 | − | 0.305590i | ||||
\(293\) | −4404.45 | + | 3583.28i | −0.878193 | + | 0.714463i | −0.959344 | − | 0.282239i | \(-0.908923\pi\) |
0.0811512 | + | 0.996702i | \(0.474140\pi\) | |||||||
\(294\) | 917.076 | + | 981.949i | 0.181922 | + | 0.194791i | ||||
\(295\) | 1967.78 | + | 551.346i | 0.388368 | + | 0.108816i | ||||
\(296\) | −298.663 | − | 423.109i | −0.0586467 | − | 0.0830835i | ||||
\(297\) | −1140.17 | − | 2200.42i | −0.222758 | − | 0.429904i | ||||
\(298\) | −10.5962 | − | 154.911i | −0.00205981 | − | 0.0301133i | ||||
\(299\) | 311.246 | + | 253.217i | 0.0602001 | + | 0.0489764i | ||||
\(300\) | −1008.03 | + | 282.436i | −0.193995 | + | 0.0543549i | ||||
\(301\) | −11725.6 | − | 7130.51i | −2.24536 | − | 1.36544i | ||||
\(302\) | −77.5251 | + | 373.071i | −0.0147717 | + | 0.0710856i | ||||
\(303\) | 6073.41 | − | 834.770i | 1.15151 | − | 0.158272i | ||||
\(304\) | 2155.96 | − | 4160.82i | 0.406753 | − | 0.784997i | ||||
\(305\) | −1288.51 | − | 559.680i | −0.241902 | − | 0.105073i | ||||
\(306\) | −27.6495 | − | 12.0099i | −0.00516541 | − | 0.00224365i | ||||
\(307\) | −2932.32 | + | 5659.13i | −0.545136 | + | 1.05206i | 0.442716 | + | 0.896662i | \(0.354015\pi\) |
−0.987851 | + | 0.155402i | \(0.950333\pi\) | |||||||
\(308\) | −4959.81 | + | 681.711i | −0.917570 | + | 0.126117i | ||||
\(309\) | −626.404 | + | 3014.42i | −0.115323 | + | 0.554966i | ||||
\(310\) | 79.0871 | + | 48.0939i | 0.0144898 | + | 0.00881146i | ||||
\(311\) | −9265.43 | + | 2596.05i | −1.68937 | + | 0.473339i | −0.974214 | − | 0.225625i | \(-0.927558\pi\) |
−0.715156 | + | 0.698964i | \(0.753645\pi\) | |||||||
\(312\) | 464.050 | + | 377.533i | 0.0842041 | + | 0.0685051i | ||||
\(313\) | −194.335 | − | 2841.08i | −0.0350942 | − | 0.513059i | −0.981671 | − | 0.190582i | \(-0.938963\pi\) |
0.946577 | − | 0.322478i | \(-0.104516\pi\) | |||||||
\(314\) | 321.895 | + | 621.228i | 0.0578521 | + | 0.111650i | ||||
\(315\) | −97.5504 | − | 138.197i | −0.0174487 | − | 0.0247192i | ||||
\(316\) | 7091.05 | + | 1986.82i | 1.26235 | + | 0.353694i | ||||
\(317\) | 1236.22 | + | 1323.67i | 0.219032 | + | 0.234526i | 0.830883 | − | 0.556447i | \(-0.187836\pi\) |
−0.611851 | + | 0.790973i | \(0.709575\pi\) | |||||||
\(318\) | −199.493 | + | 162.300i | −0.0351793 | + | 0.0286205i | ||||
\(319\) | −2487.00 | + | 3523.28i | −0.436506 | + | 0.618388i | ||||
\(320\) | −2382.69 | − | 327.494i | −0.416239 | − | 0.0572108i | ||||
\(321\) | −2181.41 | + | 6137.90i | −0.379297 | + | 1.06724i | ||||
\(322\) | 32.8302 | + | 157.988i | 0.00568185 | + | 0.0273426i | ||||
\(323\) | −2774.72 | − | 7807.31i | −0.477986 | − | 1.34492i | ||||
\(324\) | 5101.97 | − | 3102.58i | 0.874823 | − | 0.531992i | ||||
\(325\) | 425.123 | − | 455.196i | 0.0725588 | − | 0.0776915i | ||||
\(326\) | 2.38698 | − | 34.8964i | 0.000405529 | − | 0.00592862i | ||||
\(327\) | −3617.99 | + | 1571.51i | −0.611850 | + | 0.265764i | ||||
\(328\) | −1276.26 | −0.214847 | ||||||||
\(329\) | −10507.2 | + | 4205.90i | −1.76072 | + | 0.704799i | ||||
\(330\) | −135.756 | −0.0226458 | ||||||||
\(331\) | −4017.98 | + | 1745.25i | −0.667214 | + | 0.289812i | −0.704721 | − | 0.709484i | \(-0.748928\pi\) |
0.0375070 | + | 0.999296i | \(0.488058\pi\) | |||||||
\(332\) | 446.315 | − | 6524.90i | 0.0737793 | − | 1.07862i | ||||
\(333\) | −74.9830 | + | 80.2872i | −0.0123395 | + | 0.0132123i | ||||
\(334\) | −535.328 | + | 325.540i | −0.0877002 | + | 0.0533317i | ||||
\(335\) | 1239.59 | + | 3487.86i | 0.202167 | + | 0.568843i | ||||
\(336\) | −2345.00 | − | 11284.8i | −0.380745 | − | 1.83225i | ||||
\(337\) | 1689.74 | − | 4754.46i | 0.273133 | − | 0.768522i | −0.723782 | − | 0.690029i | \(-0.757598\pi\) |
0.996915 | − | 0.0784931i | \(-0.0250109\pi\) | |||||||
\(338\) | 445.455 | + | 61.2264i | 0.0716851 | + | 0.00985290i | ||||
\(339\) | 3215.01 | − | 4554.63i | 0.515089 | − | 0.729715i | ||||
\(340\) | −3369.75 | + | 2741.49i | −0.537501 | + | 0.437289i | ||||
\(341\) | −797.337 | − | 853.740i | −0.126622 | − | 0.135579i | ||||
\(342\) | 19.9794 | + | 5.59797i | 0.00315896 | + | 0.000885098i | ||||
\(343\) | 11094.7 | + | 15717.6i | 1.74653 | + | 2.47426i | ||||
\(344\) | −816.219 | − | 1575.23i | −0.127929 | − | 0.246892i | ||||
\(345\) | −29.0592 | − | 424.830i | −0.00453476 | − | 0.0662958i | ||||
\(346\) | 504.591 | + | 410.515i | 0.0784017 | + | 0.0637845i | ||||
\(347\) | 632.425 | − | 177.197i | 0.0978396 | − | 0.0274134i | −0.220529 | − | 0.975381i | \(-0.570778\pi\) |
0.318368 | + | 0.947967i | \(0.396865\pi\) | |||||||
\(348\) | −8572.11 | − | 5212.81i | −1.32044 | − | 0.802978i | ||||
\(349\) | 540.190 | − | 2599.54i | 0.0828531 | − | 0.398711i | −0.917147 | − | 0.398549i | \(-0.869514\pi\) |
1.00000 | 0.000161638i | \(-5.14509e-5\pi\) | ||||||||
\(350\) | 248.150 | − | 34.1074i | 0.0378976 | − | 0.00520891i | ||||
\(351\) | −1578.12 | + | 3045.62i | −0.239982 | + | 0.463144i | ||||
\(352\) | −891.973 | − | 387.438i | −0.135063 | − | 0.0586663i | ||||
\(353\) | 10223.6 | + | 4440.75i | 1.54150 | + | 0.669568i | 0.986720 | − | 0.162430i | \(-0.0519332\pi\) |
0.554779 | + | 0.831998i | \(0.312803\pi\) | |||||||
\(354\) | −283.633 | + | 547.388i | −0.0425846 | + | 0.0821845i | ||||
\(355\) | 12.7876 | − | 1.75762i | 0.00191182 | − | 0.000262774i | ||||
\(356\) | −257.550 | + | 1239.40i | −0.0383431 | + | 0.184517i | ||||
\(357\) | −17412.2 | − | 10588.6i | −2.58137 | − | 1.56977i | ||||
\(358\) | 885.064 | − | 247.983i | 0.130662 | − | 0.0366098i | ||||
\(359\) | 5010.39 | + | 4076.26i | 0.736597 | + | 0.599266i | 0.923719 | − | 0.383070i | \(-0.125133\pi\) |
−0.187122 | + | 0.982337i | \(0.559916\pi\) | |||||||
\(360\) | −1.49235 | − | 21.8174i | −0.000218483 | − | 0.00319410i | ||||
\(361\) | −531.815 | − | 1026.36i | −0.0775354 | − | 0.149637i | ||||
\(362\) | 18.9324 | + | 26.8211i | 0.00274880 | + | 0.00389416i | ||||
\(363\) | −5127.61 | − | 1436.69i | −0.741403 | − | 0.207732i | ||||
\(364\) | 4729.72 | + | 5064.30i | 0.681057 | + | 0.729235i | ||||
\(365\) | 914.171 | − | 743.733i | 0.131096 | − | 0.106654i | ||||
\(366\) | 244.402 | − | 346.239i | 0.0349047 | − | 0.0494486i | ||||
\(367\) | −5064.29 | − | 696.071i | −0.720310 | − | 0.0990043i | −0.233305 | − | 0.972404i | \(-0.574954\pi\) |
−0.487005 | + | 0.873399i | \(0.661911\pi\) | |||||||
\(368\) | 334.674 | − | 941.683i | 0.0474079 | − | 0.133393i | ||||
\(369\) | 55.0796 | + | 265.058i | 0.00777055 | + | 0.0373939i | ||||
\(370\) | −54.4752 | − | 153.279i | −0.00765414 | − | 0.0215367i | ||||
\(371\) | −5116.70 | + | 3111.53i | −0.716026 | + | 0.435425i | ||||
\(372\) | 1854.89 | − | 1986.10i | 0.258525 | − | 0.276813i | ||||
\(373\) | −177.002 | + | 2587.68i | −0.0245705 | + | 0.359208i | 0.969084 | + | 0.246732i | \(0.0793566\pi\) |
−0.993654 | + | 0.112477i | \(0.964122\pi\) | |||||||
\(374\) | −516.704 | + | 224.436i | −0.0714389 | + | 0.0310303i | ||||
\(375\) | −661.003 | −0.0910241 | ||||||||
\(376\) | −1443.10 | − | 241.199i | −0.197932 | − | 0.0330822i | ||||
\(377\) | 5969.13 | 0.815454 | ||||||||
\(378\) | −1265.29 | + | 549.591i | −0.172167 | + | 0.0747829i | ||||
\(379\) | −19.6922 | + | 287.890i | −0.00266892 | + | 0.0390183i | −0.998812 | − | 0.0487202i | \(-0.984486\pi\) |
0.996144 | + | 0.0877385i | \(0.0279640\pi\) | |||||||
\(380\) | 2040.84 | − | 2185.21i | 0.275508 | − | 0.294997i | ||||
\(381\) | −4883.40 | + | 2969.66i | −0.656652 | + | 0.399319i | ||||
\(382\) | −143.335 | − | 403.305i | −0.0191980 | − | 0.0540180i | ||||
\(383\) | 2383.37 | + | 11469.4i | 0.317976 | + | 1.53018i | 0.769922 | + | 0.638138i | \(0.220295\pi\) |
−0.451947 | + | 0.892045i | \(0.649270\pi\) | |||||||
\(384\) | 1008.38 | − | 2837.30i | 0.134006 | − | 0.377058i | ||||
\(385\) | −3131.74 | − | 430.447i | −0.414566 | − | 0.0569808i | ||||
\(386\) | −701.358 | + | 993.598i | −0.0924823 | + | 0.131018i | ||||
\(387\) | −291.922 | + | 237.497i | −0.0383443 | + | 0.0311954i | ||||
\(388\) | 8783.81 | + | 9405.17i | 1.14931 | + | 1.23061i | ||||
\(389\) | 976.739 | + | 273.670i | 0.127308 | + | 0.0356699i | 0.332860 | − | 0.942976i | \(-0.391986\pi\) |
−0.205553 | + | 0.978646i | \(0.565899\pi\) | |||||||
\(390\) | 108.359 | + | 153.509i | 0.0140691 | + | 0.0199314i | ||||
\(391\) | −812.946 | − | 1568.91i | −0.105147 | − | 0.202924i | ||||
\(392\) | 276.017 | + | 4035.22i | 0.0355637 | + | 0.519922i | ||||
\(393\) | −1202.18 | − | 978.044i | −0.154305 | − | 0.125536i | ||||
\(394\) | 814.636 | − | 228.250i | 0.104164 | − | 0.0291855i | ||||
\(395\) | 3972.94 | + | 2416.00i | 0.506077 | + | 0.307752i | ||||
\(396\) | −27.9320 | + | 134.416i | −0.00354453 | + | 0.0170572i | ||||
\(397\) | 5976.53 | − | 821.455i | 0.755551 | − | 0.103848i | 0.251897 | − | 0.967754i | \(-0.418945\pi\) |
0.503653 | + | 0.863906i | \(0.331989\pi\) | |||||||
\(398\) | 539.382 | − | 1040.96i | 0.0679316 | − | 0.131102i | ||||
\(399\) | 12865.5 | + | 5588.28i | 1.61424 | + | 0.701163i | ||||
\(400\) | −1422.91 | − | 618.057i | −0.177864 | − | 0.0772572i | ||||
\(401\) | −5508.50 | + | 10630.9i | −0.685988 | + | 1.32390i | 0.248753 | + | 0.968567i | \(0.419979\pi\) |
−0.934741 | + | 0.355330i | \(0.884368\pi\) | |||||||
\(402\) | −1106.31 | + | 152.058i | −0.137257 | + | 0.0188656i | ||||
\(403\) | −328.962 | + | 1583.05i | −0.0406620 | + | 0.195676i | ||||
\(404\) | 7843.76 | + | 4769.89i | 0.965944 | + | 0.587404i | ||||
\(405\) | 3630.58 | − | 1017.24i | 0.445444 | − | 0.124808i | ||||
\(406\) | 1862.14 | + | 1514.96i | 0.227626 | + | 0.185188i | ||||
\(407\) | 140.099 | + | 2048.18i | 0.0170626 | + | 0.249446i | ||||
\(408\) | −1212.06 | − | 2339.16i | −0.147073 | − | 0.283838i | ||||
\(409\) | −6898.59 | − | 9773.08i | −0.834018 | − | 1.18153i | −0.981309 | − | 0.192441i | \(-0.938360\pi\) |
0.147290 | − | 0.989093i | \(-0.452945\pi\) | |||||||
\(410\) | −386.006 | − | 108.154i | −0.0464963 | − | 0.0130276i | ||||
\(411\) | −1526.94 | − | 1634.95i | −0.183257 | − | 0.196220i | ||||
\(412\) | −3576.36 | + | 2909.58i | −0.427657 | + | 0.347925i | ||||
\(413\) | −8278.72 | + | 11728.3i | −0.986367 | + | 1.39736i | ||||
\(414\) | 4.38371 | + | 0.602527i | 0.000520405 | + | 7.15280e-5i | ||||
\(415\) | 1382.92 | − | 3891.15i | 0.163578 | − | 0.460263i | ||||
\(416\) | 273.856 | + | 1317.87i | 0.0322762 | + | 0.155322i | ||||
\(417\) | −106.413 | − | 299.417i | −0.0124965 | − | 0.0351619i | ||||
\(418\) | 331.299 | − | 201.467i | 0.0387664 | − | 0.0235744i | ||||
\(419\) | 4990.88 | − | 5343.93i | 0.581911 | − | 0.623074i | −0.370154 | − | 0.928970i | \(-0.620695\pi\) |
0.952065 | + | 0.305896i | \(0.0989560\pi\) | |||||||
\(420\) | 501.856 | − | 7336.87i | 0.0583049 | − | 0.852387i | ||||
\(421\) | 2959.30 | − | 1285.41i | 0.342583 | − | 0.148805i | −0.220100 | − | 0.975477i | \(-0.570638\pi\) |
0.562684 | + | 0.826672i | \(0.309769\pi\) | |||||||
\(422\) | −1234.40 | −0.142393 | ||||||||
\(423\) | 12.1870 | + | 310.116i | 0.00140083 | + | 0.0356463i | ||||
\(424\) | −774.178 | −0.0886731 | ||||||||
\(425\) | −2515.86 | + | 1092.79i | −0.287146 | + | 0.124725i | ||||
\(426\) | −0.265741 | + | 3.88500i | −3.02235e−5 | + | 0.000441851i | ||||
\(427\) | 6735.91 | − | 7212.40i | 0.763404 | − | 0.817407i | ||||
\(428\) | −8334.44 | + | 5068.29i | −0.941263 | + | 0.572394i | ||||
\(429\) | −794.125 | − | 2234.45i | −0.0893723 | − | 0.251469i | ||||
\(430\) | −113.376 | − | 545.597i | −0.0127151 | − | 0.0611884i | ||||
\(431\) | −3997.69 | + | 11248.4i | −0.446780 | + | 1.25712i | 0.478585 | + | 0.878041i | \(0.341150\pi\) |
−0.925365 | + | 0.379077i | \(0.876241\pi\) | |||||||
\(432\) | 8464.19 | + | 1163.38i | 0.942670 | + | 0.129567i | ||||
\(433\) | 1438.82 | − | 2038.34i | 0.159688 | − | 0.226227i | −0.729257 | − | 0.684240i | \(-0.760134\pi\) |
0.888946 | + | 0.458013i | \(0.151439\pi\) | |||||||
\(434\) | −504.401 | + | 410.360i | −0.0557880 | + | 0.0453869i | ||||
\(435\) | −4323.87 | − | 4629.74i | −0.476583 | − | 0.510296i | ||||
\(436\) | −5687.79 | − | 1593.64i | −0.624760 | − | 0.175050i | ||||
\(437\) | 701.380 | + | 993.630i | 0.0767771 | + | 0.108768i | ||||
\(438\) | 163.568 | + | 315.671i | 0.0178437 | + | 0.0344369i | ||||
\(439\) | −1056.90 | − | 15451.3i | −0.114904 | − | 1.67984i | −0.595856 | − | 0.803092i | \(-0.703187\pi\) |
0.480951 | − | 0.876747i | \(-0.340291\pi\) | |||||||
\(440\) | −317.009 | − | 257.906i | −0.0343473 | − | 0.0279436i | ||||
\(441\) | 826.134 | − | 231.472i | 0.0892057 | − | 0.0249943i | ||||
\(442\) | 666.214 | + | 405.134i | 0.0716936 | + | 0.0435979i | ||||
\(443\) | 1165.55 | − | 5608.95i | 0.125005 | − | 0.601555i | −0.869237 | − | 0.494395i | \(-0.835389\pi\) |
0.994242 | − | 0.107160i | \(-0.0341757\pi\) | |||||||
\(444\) | −4731.43 | + | 650.320i | −0.505729 | + | 0.0695109i | ||||
\(445\) | −367.731 | + | 709.689i | −0.0391733 | + | 0.0756011i | ||||
\(446\) | −1016.06 | − | 441.339i | −0.107875 | − | 0.0468565i | ||||
\(447\) | −2640.17 | − | 1146.79i | −0.279364 | − | 0.121345i | ||||
\(448\) | 7773.06 | − | 15001.3i | 0.819738 | − | 1.58202i | ||||
\(449\) | 10556.7 | − | 1450.98i | 1.10958 | − | 0.152508i | 0.441976 | − | 0.897027i | \(-0.354278\pi\) |
0.667601 | + | 0.744519i | \(0.267321\pi\) | |||||||
\(450\) | 1.39750 | − | 6.72513i | 0.000146397 | − | 0.000704501i | ||||
\(451\) | 4322.62 | + | 2628.64i | 0.451317 | + | 0.274452i | ||||
\(452\) | 8038.82 | − | 2252.37i | 0.836536 | − | 0.234386i | ||||
\(453\) | 5479.46 | + | 4457.87i | 0.568317 | + | 0.462360i | ||||
\(454\) | −106.569 | − | 1557.98i | −0.0110166 | − | 0.161056i | ||||
\(455\) | 2012.98 | + | 3884.87i | 0.207406 | + | 0.400275i | ||||
\(456\) | 1045.72 | + | 1481.45i | 0.107391 | + | 0.152138i | ||||
\(457\) | 17225.7 | + | 4826.42i | 1.76321 | + | 0.494027i | 0.990114 | − | 0.140265i | \(-0.0447955\pi\) |
0.773093 | + | 0.634293i | \(0.218709\pi\) | |||||||
\(458\) | −884.719 | − | 947.302i | −0.0902624 | − | 0.0966475i | ||||
\(459\) | 11718.1 | − | 9533.41i | 1.19162 | − | 0.969458i | ||||
\(460\) | 367.723 | − | 520.944i | 0.0372721 | − | 0.0528025i | ||||
\(461\) | 466.158 | + | 64.0720i | 0.0470958 | + | 0.00647317i | 0.159676 | − | 0.987169i | \(-0.448955\pi\) |
−0.112580 | + | 0.993643i | \(0.535912\pi\) | |||||||
\(462\) | 319.366 | − | 898.609i | 0.0321607 | − | 0.0904916i | ||||
\(463\) | −3247.67 | − | 15628.6i | −0.325987 | − | 1.56873i | −0.748974 | − | 0.662599i | \(-0.769453\pi\) |
0.422987 | − | 0.906136i | \(-0.360981\pi\) | |||||||
\(464\) | −4978.86 | − | 14009.2i | −0.498142 | − | 1.40164i | ||||
\(465\) | 1466.13 | − | 891.572i | 0.146215 | − | 0.0889154i | ||||
\(466\) | 555.184 | − | 594.457i | 0.0551897 | − | 0.0590938i | ||||
\(467\) | −552.037 | + | 8070.50i | −0.0547007 | + | 0.799697i | 0.886687 | + | 0.462370i | \(0.153001\pi\) |
−0.941388 | + | 0.337326i | \(0.890477\pi\) | |||||||
\(468\) | 174.289 | − | 75.7046i | 0.0172148 | − | 0.00747745i | ||||
\(469\) | −26003.3 | −2.56018 | ||||||||
\(470\) | −416.026 | − | 195.243i | −0.0408295 | − | 0.0191614i | ||||
\(471\) | 12970.6 | 1.26891 | ||||||||
\(472\) | −1702.24 | + | 739.386i | −0.166000 | + | 0.0721038i | ||||
\(473\) | −479.929 | + | 7016.31i | −0.0466536 | + | 0.682052i | ||||
\(474\) | −957.477 | + | 1025.21i | −0.0927814 | + | 0.0993446i | ||||
\(475\) | 1613.11 | − | 980.955i | 0.155820 | − | 0.0947564i | ||||
\(476\) | −10219.4 | − | 28754.7i | −0.984048 | − | 2.76885i | ||||
\(477\) | 33.4111 | + | 160.783i | 0.00320711 | + | 0.0154335i | ||||
\(478\) | −161.938 | + | 455.650i | −0.0154956 | + | 0.0436003i | ||||
\(479\) | −5572.64 | − | 765.941i | −0.531566 | − | 0.0730621i | −0.134608 | − | 0.990899i | \(-0.542978\pi\) |
−0.396958 | + | 0.917837i | \(0.629934\pi\) | |||||||
\(480\) | 823.782 | − | 1167.03i | 0.0783340 | − | 0.110974i | ||||
\(481\) | 2204.20 | − | 1793.25i | 0.208946 | − | 0.169990i | ||||
\(482\) | 1143.83 | + | 1224.74i | 0.108091 | + | 0.115738i | ||||
\(483\) | 2880.44 | + | 807.061i | 0.271355 | + | 0.0760301i | ||||
\(484\) | −4598.51 | − | 6514.61i | −0.431866 | − | 0.611815i | ||||
\(485\) | 3738.40 | + | 7214.78i | 0.350004 | + | 0.675477i | ||||
\(486\) | 5.25854 | + | 76.8772i | 0.000490807 | + | 0.00717535i | ||||
\(487\) | 3945.60 | + | 3209.98i | 0.367130 | + | 0.298682i | 0.796728 | − | 0.604338i | \(-0.206562\pi\) |
−0.429598 | + | 0.903020i | \(0.641345\pi\) | |||||||
\(488\) | 1228.49 | − | 344.206i | 0.113957 | − | 0.0319293i | ||||
\(489\) | −554.027 | − | 336.911i | −0.0512351 | − | 0.0311568i | ||||
\(490\) | −258.474 | + | 1243.84i | −0.0238299 | + | 0.114676i | ||||
\(491\) | −4061.40 | + | 558.226i | −0.373296 | + | 0.0513083i | −0.320376 | − | 0.947290i | \(-0.603809\pi\) |
−0.0529198 | + | 0.998599i | \(0.516853\pi\) | |||||||
\(492\) | −5414.65 | + | 10449.8i | −0.496161 | + | 0.957547i | ||||
\(493\) | −24111.2 | − | 10473.0i | −2.20267 | − | 0.956754i | ||||
\(494\) | −492.253 | − | 213.816i | −0.0448330 | − | 0.0194737i | ||||
\(495\) | −39.8814 | + | 76.9676i | −0.00362129 | + | 0.00698876i | ||||
\(496\) | 3989.71 | − | 548.373i | 0.361176 | − | 0.0496425i | ||||
\(497\) | −18.4487 | + | 88.7798i | −0.00166506 | + | 0.00801272i | ||||
\(498\) | 1064.46 | + | 647.312i | 0.0957822 | + | 0.0582465i | ||||
\(499\) | 15250.8 | − | 4273.08i | 1.36818 | − | 0.383345i | 0.494215 | − | 0.869340i | \(-0.335455\pi\) |
0.873962 | + | 0.485994i | \(0.161542\pi\) | |||||||
\(500\) | −767.822 | − | 624.669i | −0.0686760 | − | 0.0558721i | ||||
\(501\) | 792.628 | + | 11587.8i | 0.0706827 | + | 1.03334i | ||||
\(502\) | −418.499 | − | 807.667i | −0.0372082 | − | 0.0718087i | ||||
\(503\) | 12526.6 | + | 17746.2i | 1.11041 | + | 1.57309i | 0.776085 | + | 0.630628i | \(0.217203\pi\) |
0.334321 | + | 0.942459i | \(0.391493\pi\) | |||||||
\(504\) | 147.926 | + | 41.4471i | 0.0130737 | + | 0.00366309i | ||||
\(505\) | 3956.48 | + | 4236.36i | 0.348636 | + | 0.373298i | ||||
\(506\) | 64.1447 | − | 52.1856i | 0.00563553 | − | 0.00458485i | ||||
\(507\) | 4806.95 | − | 6809.89i | 0.421073 | − | 0.596525i | ||||
\(508\) | −8478.99 | − | 1165.41i | −0.740540 | − | 0.101785i | ||||
\(509\) | 72.1981 | − | 203.146i | 0.00628709 | − | 0.0176902i | −0.939076 | − | 0.343710i | \(-0.888316\pi\) |
0.945363 | + | 0.326020i | \(0.105708\pi\) | |||||||
\(510\) | −168.360 | − | 810.192i | −0.0146178 | − | 0.0703449i | ||||
\(511\) | 2772.41 | + | 7800.80i | 0.240008 | + | 0.675318i | ||||
\(512\) | 4790.56 | − | 2913.20i | 0.413505 | − | 0.251458i | ||||
\(513\) | −7096.94 | + | 7598.96i | −0.610794 | + | 0.654001i | ||||
\(514\) | −146.120 | + | 2136.21i | −0.0125391 | + | 0.183315i | ||||
\(515\) | −2670.12 | + | 1159.80i | −0.228465 | + | 0.0992363i | ||||
\(516\) | −16360.5 | −1.39580 | ||||||||
\(517\) | 4390.90 | + | 3789.19i | 0.373524 | + | 0.322337i | ||||
\(518\) | 1142.75 | 0.0969297 | ||||||||
\(519\) | 11060.5 | − | 4804.26i | 0.935457 | − | 0.406326i | ||||
\(520\) | −38.6008 | + | 564.323i | −0.00325530 | + | 0.0475908i | ||||
\(521\) | 10103.5 | − | 10818.3i | 0.849606 | − | 0.909706i | −0.147238 | − | 0.989101i | \(-0.547038\pi\) |
0.996843 | + | 0.0793956i | \(0.0252990\pi\) | |||||||
\(522\) | 56.2451 | − | 34.2034i | 0.00471605 | − | 0.00286790i | ||||
\(523\) | −4323.65 | − | 12165.6i | −0.361491 | − | 1.01714i | −0.973975 | − | 0.226655i | \(-0.927221\pi\) |
0.612484 | − | 0.790483i | \(-0.290170\pi\) | |||||||
\(524\) | −472.167 | − | 2272.19i | −0.0393640 | − | 0.189430i | ||||
\(525\) | 1555.01 | − | 4375.38i | 0.129269 | − | 0.363728i | ||||
\(526\) | 1894.77 | + | 260.430i | 0.157064 | + | 0.0215880i | ||||
\(527\) | 4106.29 | − | 5817.29i | 0.339417 | − | 0.480844i | ||||
\(528\) | −4581.74 | + | 3727.52i | −0.377641 | + | 0.307234i | ||||
\(529\) | −8127.59 | − | 8702.52i | −0.668002 | − | 0.715256i | ||||
\(530\) | −234.150 | − | 65.6057i | −0.0191902 | − | 0.00537685i | ||||
\(531\) | 227.021 | + | 321.615i | 0.0185534 | + | 0.0262842i | ||||
\(532\) | 9663.48 | + | 18649.7i | 0.787528 | + | 1.51986i | ||||
\(533\) | −477.860 | − | 6986.06i | −0.0388338 | − | 0.567730i | ||||
\(534\) | −187.052 | − | 152.178i | −0.0151583 | − | 0.0123322i | ||||
\(535\) | −5930.81 | + | 1661.74i | −0.479274 | + | 0.134286i | ||||
\(536\) | −2872.25 | − | 1746.65i | −0.231460 | − | 0.140754i | ||||
\(537\) | 3466.75 | − | 16682.9i | 0.278587 | − | 1.34063i | ||||
\(538\) | 1670.80 | − | 229.646i | 0.133891 | − | 0.0184029i | ||||
\(539\) | 7376.25 | − | 14235.5i | 0.589458 | − | 1.13760i | ||||
\(540\) | 5000.01 | + | 2171.81i | 0.398456 | + | 0.173074i | ||||
\(541\) | 14336.8 | + | 6227.34i | 1.13935 | + | 0.494888i | 0.881915 | − | 0.471409i | \(-0.156254\pi\) |
0.257431 | + | 0.966297i | \(0.417124\pi\) | |||||||
\(542\) | −695.827 | + | 1342.89i | −0.0551445 | + | 0.106424i | ||||
\(543\) | 602.937 | − | 82.8718i | 0.0476510 | − | 0.00654948i | ||||
\(544\) | 1206.04 | − | 5803.78i | 0.0950524 | − | 0.457417i | ||||
\(545\) | −3186.73 | − | 1937.89i | −0.250467 | − | 0.152312i | ||||
\(546\) | −1271.04 | + | 356.128i | −0.0996254 | + | 0.0279137i | ||||
\(547\) | 11810.1 | + | 9608.24i | 0.923152 | + | 0.751040i | 0.968781 | − | 0.247919i | \(-0.0797466\pi\) |
−0.0456290 | + | 0.998958i | \(0.514529\pi\) | |||||||
\(548\) | −228.611 | − | 3342.17i | −0.0178208 | − | 0.260530i | ||||
\(549\) | −124.503 | − | 240.281i | −0.00967883 | − | 0.0186793i | ||||
\(550\) | −74.0237 | − | 104.868i | −0.00573887 | − | 0.00813013i | ||||
\(551\) | 17422.7 | + | 4881.61i | 1.34706 | + | 0.377429i | ||||
\(552\) | 263.954 | + | 282.626i | 0.0203526 | + | 0.0217923i | ||||
\(553\) | −25338.6 | + | 20614.5i | −1.94847 | + | 1.58520i | ||||
\(554\) | 403.525 | − | 571.665i | 0.0309461 | − | 0.0438407i | ||||
\(555\) | −2987.53 | − | 410.627i | −0.228493 | − | 0.0314056i | ||||
\(556\) | 159.350 | − | 448.367i | 0.0121545 | − | 0.0341996i | ||||
\(557\) | −2718.66 | − | 13082.9i | −0.206810 | − | 0.995226i | −0.946606 | − | 0.322394i | \(-0.895512\pi\) |
0.739795 | − | 0.672832i | \(-0.234922\pi\) | |||||||
\(558\) | 5.97126 | + | 16.8015i | 0.000453018 | + | 0.00127467i | ||||
\(559\) | 8316.94 | − | 5057.65i | 0.629283 | − | 0.382676i | ||||
\(560\) | 7438.50 | − | 7964.69i | 0.561311 | − | 0.601017i | ||||
\(561\) | −712.678 | + | 10419.0i | −0.0536351 | + | 0.784117i | ||||
\(562\) | −1272.92 | + | 552.907i | −0.0955425 | + | 0.0415000i | ||||
\(563\) | −9751.75 | −0.729995 | −0.364998 | − | 0.931008i | \(-0.618930\pi\) | ||||
−0.364998 | + | 0.931008i | \(0.618930\pi\) | |||||||
\(564\) | −8097.36 | + | 10792.5i | −0.604540 | + | 0.805757i | ||||
\(565\) | 5271.37 | 0.392510 | ||||||||
\(566\) | −1740.24 | + | 755.893i | −0.129236 | + | 0.0561352i | ||||
\(567\) | −1807.51 | + | 26424.9i | −0.133877 | + | 1.95722i | ||||
\(568\) | −8.00116 | + | 8.56715i | −0.000591059 | + | 0.000632869i | ||||
\(569\) | −5007.92 | + | 3045.39i | −0.368969 | + | 0.224375i | −0.691812 | − | 0.722078i | \(-0.743187\pi\) |
0.322844 | + | 0.946452i | \(0.395361\pi\) | |||||||
\(570\) | 190.736 | + | 536.680i | 0.0140159 | + | 0.0394369i | ||||
\(571\) | 3860.42 | + | 18577.4i | 0.282931 | + | 1.36154i | 0.845141 | + | 0.534543i | \(0.179516\pi\) |
−0.562210 | + | 0.826994i | \(0.690049\pi\) | |||||||
\(572\) | 1189.17 | − | 3346.02i | 0.0869264 | − | 0.244587i | ||||
\(573\) | −7860.75 | − | 1080.44i | −0.573102 | − | 0.0787711i | ||||
\(574\) | 1623.98 | − | 2300.66i | 0.118090 | − | 0.167295i | ||||
\(575\) | 312.324 | − | 254.094i | 0.0226518 | − | 0.0184286i | ||||
\(576\) | −316.236 | − | 338.606i | −0.0228759 | − | 0.0244941i | ||||
\(577\) | −26354.0 | − | 7384.05i | −1.90144 | − | 0.532759i | −0.993526 | − | 0.113606i | \(-0.963760\pi\) |
−0.907916 | − | 0.419153i | \(-0.862327\pi\) | |||||||
\(578\) | −1172.05 | − | 1660.42i | −0.0843442 | − | 0.119489i | ||||
\(579\) | 10372.7 | + | 20018.3i | 0.744512 | + | 1.43684i | ||||
\(580\) | −647.363 | − | 9464.10i | −0.0463453 | − | 0.677544i | ||||
\(581\) | 22503.4 | + | 18307.9i | 1.60688 | + | 1.30730i | ||||
\(582\) | −2360.51 | + | 661.384i | −0.168121 | + | 0.0471053i | ||||
\(583\) | 2622.09 | + | 1594.53i | 0.186271 | + | 0.113274i | ||||
\(584\) | −217.751 | + | 1047.88i | −0.0154291 | + | 0.0742491i | ||||
\(585\) | 118.866 | − | 16.3377i | 0.00840086 | − | 0.00115467i | ||||
\(586\) | 745.140 | − | 1438.05i | 0.0525281 | − | 0.101375i | ||||
\(587\) | −5615.65 | − | 2439.22i | −0.394860 | − | 0.171512i | 0.191632 | − | 0.981467i | \(-0.438622\pi\) |
−0.586492 | + | 0.809955i | \(0.699491\pi\) | |||||||
\(588\) | 34210.6 | + | 14859.8i | 2.39936 | + | 1.04219i | ||||
\(589\) | −2254.81 | + | 4351.58i | −0.157738 | + | 0.304421i | ||||
\(590\) | −577.498 | + | 79.3753i | −0.0402970 | + | 0.00553870i | ||||
\(591\) | 3190.89 | − | 15355.4i | 0.222091 | − | 1.06876i | ||||
\(592\) | −6047.17 | − | 3677.37i | −0.419827 | − | 0.255302i | ||||
\(593\) | −12982.7 | + | 3637.59i | −0.899051 | + | 0.251902i | −0.688119 | − | 0.725598i | \(-0.741563\pi\) |
−0.210933 | + | 0.977501i | \(0.567650\pi\) | |||||||
\(594\) | 548.374 | + | 446.135i | 0.0378789 | + | 0.0308168i | ||||
\(595\) | −1314.96 | − | 19224.0i | −0.0906018 | − | 1.32455i | ||||
\(596\) | −1983.07 | − | 3827.16i | −0.136292 | − | 0.263031i | ||||
\(597\) | −12533.7 | − | 17756.2i | −0.859245 | − | 1.21727i | ||||
\(598\) | −110.210 | − | 30.8793i | −0.00753647 | − | 0.00211162i | ||||
\(599\) | 4064.82 | + | 4352.36i | 0.277269 | + | 0.296882i | 0.854237 | − | 0.519884i | \(-0.174025\pi\) |
−0.576968 | + | 0.816767i | \(0.695764\pi\) | |||||||
\(600\) | 465.657 | − | 378.840i | 0.0316840 | − | 0.0257768i | ||||
\(601\) | 7464.14 | − | 10574.3i | 0.506603 | − | 0.717693i | −0.480639 | − | 0.876918i | \(-0.659595\pi\) |
0.987242 | + | 0.159225i | \(0.0508997\pi\) | |||||||
\(602\) | 3878.18 | + | 533.044i | 0.262563 | + | 0.0360885i | ||||
\(603\) | −238.792 | + | 671.897i | −0.0161266 | + | 0.0453760i | ||||
\(604\) | 2152.11 | + | 10356.5i | 0.144981 | + | 0.697685i | ||||
\(605\) | −1686.13 | − | 4744.31i | −0.113307 | − | 0.318816i | ||||
\(606\) | −1494.15 | + | 908.614i | −0.100158 | + | 0.0609074i | ||||
\(607\) | −9900.85 | + | 10601.2i | −0.662048 | + | 0.708880i | −0.970159 | − | 0.242470i | \(-0.922042\pi\) |
0.308111 | + | 0.951350i | \(0.400303\pi\) | |||||||
\(608\) | −278.434 | + | 4070.55i | −0.0185723 | + | 0.271518i | ||||
\(609\) | 40817.5 | − | 17729.6i | 2.71594 | − | 1.17970i | ||||
\(610\) | 400.725 | 0.0265982 | ||||||||
\(611\) | 779.957 | − | 7989.61i | 0.0516427 | − | 0.529010i | ||||
\(612\) | −836.836 | −0.0552730 | ||||||||
\(613\) | −14165.0 | + | 6152.73i | −0.933311 | + | 0.405394i | −0.809638 | − | 0.586929i | \(-0.800337\pi\) |
−0.123672 | + | 0.992323i | \(0.539467\pi\) | |||||||
\(614\) | 124.072 | − | 1813.87i | 0.00815496 | − | 0.119221i | ||||
\(615\) | −5072.33 | + | 5431.14i | −0.332579 | + | 0.356105i | ||||
\(616\) | 2452.92 | − | 1491.65i | 0.160440 | − | 0.0975656i | ||||
\(617\) | −4919.68 | − | 13842.7i | −0.321003 | − | 0.903216i | −0.987488 | − | 0.157697i | \(-0.949593\pi\) |
0.666484 | − | 0.745519i | \(-0.267798\pi\) | |||||||
\(618\) | −178.683 | − | 859.867i | −0.0116305 | − | 0.0559692i | ||||
\(619\) | 1821.80 | − | 5126.04i | 0.118294 | − | 0.332848i | −0.868300 | − | 0.496039i | \(-0.834787\pi\) |
0.986595 | + | 0.163191i | \(0.0521786\pi\) | |||||||
\(620\) | 2545.62 | + | 349.887i | 0.164894 | + | 0.0226642i | ||||
\(621\) | −1278.74 | + | 1811.56i | −0.0826312 | + | 0.117062i | ||||
\(622\) | 2129.14 | − | 1732.18i | 0.137252 | − | 0.111663i | ||||
\(623\) | −3832.55 | − | 4103.66i | −0.246466 | − | 0.263900i | ||||
\(624\) | 7872.07 | + | 2205.65i | 0.505024 | + | 0.141501i | ||||
\(625\) | −360.425 | − | 510.606i | −0.0230672 | − | 0.0326788i | ||||
\(626\) | 373.718 | + | 721.243i | 0.0238607 | + | 0.0460490i | ||||
\(627\) | −490.534 | − | 7171.36i | −0.0312441 | − | 0.456773i | ||||
\(628\) | 15066.7 | + | 12257.6i | 0.957366 | + | 0.778875i | ||||
\(629\) | −12049.8 | + | 3376.19i | −0.763841 | + | 0.214018i | ||||
\(630\) | 41.2280 | + | 25.0713i | 0.00260724 | + | 0.00158550i | ||||
\(631\) | −991.798 | + | 4772.79i | −0.0625719 | + | 0.301112i | −0.998725 | − | 0.0504800i | \(-0.983925\pi\) |
0.936153 | + | 0.351592i | \(0.114360\pi\) | |||||||
\(632\) | −4183.51 | + | 575.010i | −0.263308 | + | 0.0361909i | ||||
\(633\) | −10527.9 | + | 20318.0i | −0.661054 | + | 1.27578i | ||||
\(634\) | −473.866 | − | 205.829i | −0.0296840 | − | 0.0128936i | ||||
\(635\) | −4956.76 | − | 2153.02i | −0.309768 | − | 0.134551i | ||||
\(636\) | −3284.51 | + | 6338.81i | −0.204779 | + | 0.395205i | ||||
\(637\) | −21984.8 | + | 3021.74i | −1.36746 | + | 0.187953i | ||||
\(638\) | 250.287 | − | 1204.45i | 0.0155313 | − | 0.0747408i | ||||
\(639\) | 2.12455 | + | 1.29197i | 0.000131527 | + | 7.99836e-5i | ||||
\(640\) | 2741.57 | − | 768.152i | 0.169328 | − | 0.0474436i | ||||
\(641\) | −5750.03 | − | 4678.00i | −0.354310 | − | 0.288252i | 0.437255 | − | 0.899337i | \(-0.355951\pi\) |
−0.791565 | + | 0.611085i | \(0.790733\pi\) | |||||||
\(642\) | −126.803 | − | 1853.80i | −0.00779521 | − | 0.113962i | ||||
\(643\) | 1571.19 | + | 3032.25i | 0.0963632 | + | 0.185973i | 0.931184 | − | 0.364549i | \(-0.118777\pi\) |
−0.834821 | + | 0.550521i | \(0.814429\pi\) | |||||||
\(644\) | 2583.22 | + | 3659.59i | 0.158064 | + | 0.223925i | ||||
\(645\) | −9947.33 | − | 2787.11i | −0.607249 | − | 0.170143i | ||||
\(646\) | 1613.22 | + | 1727.34i | 0.0982529 | + | 0.105203i | ||||
\(647\) | 8862.09 | − | 7209.84i | 0.538492 | − | 0.438096i | −0.322607 | − | 0.946533i | \(-0.604559\pi\) |
0.861099 | + | 0.508437i | \(0.169777\pi\) | |||||||
\(648\) | −1974.63 | + | 2797.41i | −0.119708 | + | 0.169587i | ||||
\(649\) | 7288.22 | + | 1001.74i | 0.440813 | + | 0.0605884i | ||||
\(650\) | −59.4969 | + | 167.408i | −0.00359025 | + | 0.0101020i | ||||
\(651\) | 2452.52 | + | 11802.2i | 0.147652 | + | 0.710542i | ||||
\(652\) | −325.166 | − | 914.930i | −0.0195314 | − | 0.0549561i | ||||
\(653\) | 8877.63 | − | 5398.61i | 0.532019 | − | 0.323528i | −0.227751 | − | 0.973719i | \(-0.573137\pi\) |
0.759770 | + | 0.650191i | \(0.225311\pi\) | |||||||
\(654\) | 768.000 | − | 822.327i | 0.0459192 | − | 0.0491675i | ||||
\(655\) | 99.9999 | − | 1461.95i | 0.00596537 | − | 0.0872107i | ||||
\(656\) | −15997.2 | + | 6948.58i | −0.952115 | + | 0.413562i | ||||
\(657\) | 227.023 | 0.0134810 | ||||||||
\(658\) | 2271.07 | − | 2294.49i | 0.134552 | − | 0.135940i | ||||
\(659\) | 5895.71 | 0.348504 | 0.174252 | − | 0.984701i | \(-0.444249\pi\) | ||||
0.174252 | + | 0.984701i | \(0.444249\pi\) | |||||||
\(660\) | −3456.62 | + | 1501.42i | −0.203862 | + | 0.0885496i | ||||
\(661\) | −566.690 | + | 8284.71i | −0.0333460 | + | 0.487501i | 0.950761 | + | 0.309925i | \(0.100304\pi\) |
−0.984107 | + | 0.177576i | \(0.943174\pi\) | |||||||
\(662\) | 852.907 | − | 913.241i | 0.0500743 | − | 0.0536165i | ||||
\(663\) | 12350.4 | − | 7510.43i | 0.723452 | − | 0.439941i | ||||
\(664\) | 1255.91 | + | 3533.80i | 0.0734018 | + | 0.206533i | ||||
\(665\) | 2698.39 | + | 12985.4i | 0.157352 | + | 0.757219i | ||||
\(666\) | 10.4940 | − | 29.5274i | 0.000610564 | − | 0.00171796i | ||||
\(667\) | 3822.74 | + | 525.423i | 0.221914 | + | 0.0305014i | ||||
\(668\) | −10030.1 | + | 14209.5i | −0.580955 | + | 0.823026i | ||||
\(669\) | −15930.1 | + | 12960.1i | −0.920617 | + | 0.748977i | ||||
\(670\) | −720.696 | − | 771.677i | −0.0415566 | − | 0.0444962i | ||||
\(671\) | −4869.75 | − | 1364.44i | −0.280171 | − | 0.0785001i | ||||
\(672\) | 5787.00 | + | 8198.31i | 0.332200 | + | 0.470620i | ||||
\(673\) | −7762.04 | − | 14980.1i | −0.444584 | − | 0.858008i | −0.999657 | − | 0.0262059i | \(-0.991657\pi\) |
0.555073 | − | 0.831802i | \(-0.312690\pi\) | |||||||
\(674\) | 98.2227 | + | 1435.96i | 0.00561335 | + | 0.0820642i | ||||
\(675\) | 2670.06 | + | 2172.26i | 0.152253 | + | 0.123867i | ||||
\(676\) | 12019.3 | − | 3367.66i | 0.683849 | − | 0.191605i | ||||
\(677\) | −5360.01 | − | 3259.50i | −0.304287 | − | 0.185041i | 0.359137 | − | 0.933285i | \(-0.383071\pi\) |
−0.663424 | + | 0.748244i | \(0.730897\pi\) | |||||||
\(678\) | −323.552 | + | 1557.02i | −0.0183274 | + | 0.0881961i | ||||
\(679\) | −56551.4 | + | 7772.81i | −3.19623 | + | 0.439312i | ||||
\(680\) | 1146.04 | − | 2211.75i | 0.0646303 | − | 0.124731i | ||||
\(681\) | −26552.8 | − | 11533.5i | −1.49414 | − | 0.648995i | ||||
\(682\) | 305.634 | + | 132.756i | 0.0171603 | + | 0.00745378i | ||||
\(683\) | −1496.65 | + | 2888.41i | −0.0838476 | + | 0.161818i | −0.926115 | − | 0.377242i | \(-0.876873\pi\) |
0.842267 | + | 0.539060i | \(0.181220\pi\) | |||||||
\(684\) | 570.627 | − | 78.4309i | 0.0318984 | − | 0.00438433i | ||||
\(685\) | 430.361 | − | 2071.01i | 0.0240047 | − | 0.115517i | ||||
\(686\) | −4688.99 | − | 2851.44i | −0.260972 | − | 0.158700i | ||||
\(687\) | −23137.9 | + | 6482.93i | −1.28496 | + | 0.360028i | ||||
\(688\) | −18807.1 | − | 15300.7i | −1.04217 | − | 0.847871i | ||||
\(689\) | −289.868 | − | 4237.72i | −0.0160277 | − | 0.234317i | ||||
\(690\) | 55.8824 | + | 107.848i | 0.00308320 | + | 0.00595030i | ||||
\(691\) | 10562.0 | + | 14962.9i | 0.581470 | + | 0.823755i | 0.996282 | − | 0.0861518i | \(-0.0274570\pi\) |
−0.414812 | + | 0.909907i | \(0.636153\pi\) | |||||||
\(692\) | 17388.1 | + | 4871.91i | 0.955195 | + | 0.267633i | ||||
\(693\) | −415.651 | − | 445.053i | −0.0227839 | − | 0.0243956i | ||||
\(694\) | −145.327 | + | 118.233i | −0.00794892 | + | 0.00646693i | ||||
\(695\) | 173.268 | − | 245.464i | 0.00945671 | − | 0.0133971i | ||||
\(696\) | 5699.48 | + | 783.376i | 0.310400 | + | 0.0426635i | ||||
\(697\) | −10327.0 | + | 29057.3i | −0.561208 | + | 1.57909i | ||||
\(698\) | 154.090 | + | 741.521i | 0.00835586 | + | 0.0402106i | ||||
\(699\) | −5049.58 | − | 14208.2i | −0.273237 | − | 0.768815i | ||||
\(700\) | 5941.17 | − | 3612.91i | 0.320793 | − | 0.195079i | ||||
\(701\) | 12502.8 | − | 13387.2i | 0.673641 | − | 0.721294i | −0.298833 | − | 0.954306i | \(-0.596597\pi\) |
0.972474 | + | 0.233012i | \(0.0748581\pi\) | |||||||
\(702\) | 66.7730 | − | 976.187i | 0.00359001 | − | 0.0524841i | ||||
\(703\) | 7900.16 | − | 3431.52i | 0.423841 | − | 0.184100i | ||||
\(704\) | −8658.26 | −0.463523 | ||||||||
\(705\) | −6761.82 | + | 5182.50i | −0.361227 | + | 0.276857i | ||||
\(706\) | −3179.53 | −0.169495 | ||||||||
\(707\) | −37349.4 | + | 16223.1i | −1.98680 | + | 0.862989i | ||||
\(708\) | −1167.93 | + | 17074.5i | −0.0619963 | + | 0.906353i | ||||
\(709\) | 6950.81 | − | 7442.50i | 0.368185 | − | 0.394230i | −0.519659 | − | 0.854374i | \(-0.673941\pi\) |
0.887845 | + | 0.460143i | \(0.152202\pi\) | |||||||
\(710\) | −3.14595 | + | 1.91310i | −0.000166289 | + | 0.000101123i | ||||
\(711\) | 299.967 | + | 844.025i | 0.0158223 | + | 0.0445196i | ||||
\(712\) | −147.688 | − | 710.713i | −0.00777364 | − | 0.0374088i | ||||
\(713\) | −350.019 | + | 984.858i | −0.0183847 | + | 0.0517296i | ||||
\(714\) | 5758.97 | + | 791.552i | 0.301854 | + | 0.0414889i | ||||
\(715\) | 1293.04 | − | 1831.82i | 0.0676321 | − | 0.0958128i | ||||
\(716\) | 19792.9 | − | 16102.7i | 1.03309 | − | 0.840483i | ||||
\(717\) | 6118.76 | + | 6551.59i | 0.318702 | + | 0.341246i | ||||
\(718\) | −1774.14 | − | 497.091i | −0.0922150 | − | 0.0258374i | ||||
\(719\) | −5990.14 | − | 8486.10i | −0.310702 | − | 0.440164i | 0.631417 | − | 0.775443i | \(-0.282474\pi\) |
−0.942119 | + | 0.335279i | \(0.891169\pi\) | |||||||
\(720\) | −137.490 | − | 265.343i | −0.00711659 | − | 0.0137344i | ||||
\(721\) | −1395.58 | − | 20402.7i | −0.0720864 | − | 1.05387i | ||||
\(722\) | 255.781 | + | 208.094i | 0.0131845 | + | 0.0107264i | ||||
\(723\) | 29914.4 | − | 8381.62i | 1.53877 | − | 0.431142i | ||||
\(724\) | 778.689 | + | 473.531i | 0.0399720 | + | 0.0243075i | ||||
\(725\) | 1218.66 | − | 5864.53i | 0.0624276 | − | 0.300418i | ||||
\(726\) | 1504.84 | − | 206.835i | 0.0769279 | − | 0.0105735i | ||||
\(727\) | 3795.28 | − | 7324.57i | 0.193617 | − | 0.373663i | −0.771198 | − | 0.636596i | \(-0.780342\pi\) |
0.964814 | + | 0.262933i | \(0.0846898\pi\) | |||||||
\(728\) | −3644.62 | − | 1583.08i | −0.185547 | − | 0.0805946i | ||||
\(729\) | −17364.3 | − | 7542.38i | −0.882198 | − | 0.383193i | ||||
\(730\) | −154.659 | + | 298.477i | −0.00784133 | + | 0.0151331i | ||||
\(731\) | −42468.5 | + | 5837.17i | −2.14878 | + | 0.295343i | ||||
\(732\) | 2393.66 | − | 11518.9i | 0.120864 | − | 0.581629i | ||||
\(733\) | −15388.1 | − | 9357.73i | −0.775407 | − | 0.471535i | 0.0753095 | − | 0.997160i | \(-0.476006\pi\) |
−0.850717 | + | 0.525625i | \(0.823832\pi\) | |||||||
\(734\) | 1404.10 | − | 393.411i | 0.0706081 | − | 0.0197835i | ||||
\(735\) | 18268.9 | + | 14862.8i | 0.916813 | + | 0.745883i | ||||
\(736\) | 59.3791 | + | 868.091i | 0.00297383 | + | 0.0434759i | ||||
\(737\) | 6130.64 | + | 11831.6i | 0.306411 | + | 0.591346i | ||||
\(738\) | −44.5331 | − | 63.0890i | −0.00222126 | − | 0.00314680i | ||||
\(739\) | 1254.27 | + | 351.430i | 0.0624345 | + | 0.0174933i | 0.300872 | − | 0.953664i | \(-0.402722\pi\) |
−0.238438 | + | 0.971158i | \(0.576635\pi\) | |||||||
\(740\) | −3082.26 | − | 3300.30i | −0.153117 | − | 0.163948i | ||||
\(741\) | −7717.65 | + | 6278.78i | −0.382611 | + | 0.311277i | ||||
\(742\) | 985.101 | − | 1395.57i | 0.0487388 | − | 0.0690472i | ||||
\(743\) | −23480.3 | − | 3227.29i | −1.15937 | − | 0.159351i | −0.469260 | − | 0.883060i | \(-0.655479\pi\) |
−0.690106 | + | 0.723709i | \(0.742436\pi\) | |||||||
\(744\) | −521.858 | + | 1468.37i | −0.0257154 | + | 0.0723562i | ||||
\(745\) | −553.745 | − | 2664.77i | −0.0272318 | − | 0.131046i | ||||
\(746\) | −247.765 | − | 697.143i | −0.0121599 | − | 0.0342148i | ||||
\(747\) | 679.706 | − | 413.339i | 0.0332920 | − | 0.0202453i | ||||
\(748\) | −10674.1 | + | 11429.2i | −0.521771 | + | 0.558680i | ||||
\(749\) | 2952.71 | − | 43167.1i | 0.144045 | − | 2.10586i | ||||
\(750\) | 172.942 | − | 75.1193i | 0.00841993 | − | 0.00365729i | ||||
\(751\) | 4460.55 | 0.216735 | 0.108367 | − | 0.994111i | \(-0.465438\pi\) | ||||
0.108367 | + | 0.994111i | \(0.465438\pi\) | |||||||
\(752\) | −19401.7 | + | 4833.63i | −0.940832 | + | 0.234394i | ||||
\(753\) | −16863.3 | −0.816111 | ||||||||
\(754\) | −1561.74 | + | 678.358i | −0.0754312 | + | 0.0327644i | ||||
\(755\) | −455.794 | + | 6663.48i | −0.0219709 | + | 0.321204i | ||||
\(756\) | −26138.4 | + | 27987.4i | −1.25746 | + | 1.34642i | ||||
\(757\) | 16810.0 | − | 10222.4i | 0.807094 | − | 0.490805i | −0.0544325 | − | 0.998517i | \(-0.517335\pi\) |
0.861526 | + | 0.507713i | \(0.169509\pi\) | |||||||
\(758\) | −27.5649 | − | 77.5602i | −0.00132085 | − | 0.00371651i | ||||
\(759\) | −311.887 | − | 1500.88i | −0.0149154 | − | 0.0717768i | ||||
\(760\) | −574.176 | + | 1615.58i | −0.0274047 | + | 0.0771094i | ||||
\(761\) | −34154.9 | − | 4694.49i | −1.62696 | − | 0.223620i | −0.735763 | − | 0.677239i | \(-0.763176\pi\) |
−0.891196 | + | 0.453619i | \(0.850133\pi\) | |||||||
\(762\) | 940.187 | − | 1331.94i | 0.0446973 | − | 0.0633217i | ||||
\(763\) | 20324.3 | − | 16535.0i | 0.964336 | − | 0.784545i | ||||
\(764\) | −8110.01 | − | 8683.70i | −0.384044 | − | 0.411211i | ||||
\(765\) | −508.802 | − | 142.560i | −0.0240468 | − | 0.00673759i | ||||
\(766\) | −1927.01 | − | 2729.95i | −0.0908952 | − | 0.128769i | ||||
\(767\) | −4684.63 | − | 9040.92i | −0.220537 | − | 0.425618i | ||||
\(768\) | −1330.06 | − | 19444.7i | −0.0624926 | − | 0.913609i | ||||
\(769\) | 24698.5 | + | 20093.7i | 1.15819 | + | 0.942261i | 0.998988 | − | 0.0449843i | \(-0.0143238\pi\) |
0.159207 | + | 0.987245i | \(0.449106\pi\) | |||||||
\(770\) | 868.291 | − | 243.284i | 0.0406377 | − | 0.0113862i | ||||
\(771\) | 33915.2 | + | 20624.3i | 1.58421 | + | 0.963378i | ||||
\(772\) | −6869.07 | + | 33055.8i | −0.320237 | + | 1.54107i | ||||
\(773\) | 25586.6 | − | 3516.80i | 1.19054 | − | 0.163636i | 0.486425 | − | 0.873722i | \(-0.338301\pi\) |
0.704114 | + | 0.710087i | \(0.251344\pi\) | |||||||
\(774\) | 49.3871 | − | 95.3129i | 0.00229352 | − | 0.00442629i | ||||
\(775\) | 1488.15 | + | 646.395i | 0.0689754 | + | 0.0299602i | ||||
\(776\) | −6768.60 | − | 2940.02i | −0.313117 | − | 0.136006i | ||||
\(777\) | 9746.23 | − | 18809.4i | 0.449992 | − | 0.868446i | ||||
\(778\) | −286.651 | + | 39.3992i | −0.0132094 | + | 0.00181559i | ||||
\(779\) | 4318.48 | − | 20781.7i | 0.198621 | − | 0.955817i | ||||
\(780\) | 4456.80 | + | 2710.24i | 0.204588 | + | 0.124413i | ||||
\(781\) | 44.7446 | − | 12.5369i | 0.00205005 | − | 0.000574397i | ||||
\(782\) | 390.994 | + | 318.097i | 0.0178797 | + | 0.0145462i | ||||
\(783\) | 2251.17 | + | 32911.0i | 0.102746 | + | 1.50210i | ||||
\(784\) | 25429.4 | + | 49076.5i | 1.15841 | + | 2.23563i | ||||
\(785\) | 7072.49 | + | 10019.4i | 0.321564 | + | 0.455553i | ||||
\(786\) | 425.682 | + | 119.270i | 0.0193175 | + | 0.00541251i | ||||
\(787\) | −12470.4 | − | 13352.5i | −0.564830 | − | 0.604786i | 0.382927 | − | 0.923779i | \(-0.374916\pi\) |
−0.947757 | + | 0.318993i | \(0.896655\pi\) | |||||||
\(788\) | 18217.9 | − | 14821.3i | 0.823585 | − | 0.670036i | ||||
\(789\) | 20446.6 | − | 28966.2i | 0.922583 | − | 1.30700i | ||||
\(790\) | −1314.03 | − | 180.609i | −0.0591785 | − | 0.00813390i | ||||
\(791\) | −12400.9 | + | 34892.8i | −0.557427 | + | 1.56845i | ||||
\(792\) | −16.0171 | − | 77.0787i | −0.000718616 | − | 0.00345817i | ||||
\(793\) | 2344.10 | + | 6595.67i | 0.104970 | + | 0.295358i | ||||
\(794\) | −1470.32 | + | 894.121i | −0.0657175 | + | 0.0399637i | ||||
\(795\) | −3076.86 | + | 3294.51i | −0.137264 | + | 0.146974i | ||||
\(796\) | 2221.03 | − | 32470.3i | 0.0988974 | − | 1.44583i | ||||
\(797\) | −557.513 | + | 242.162i | −0.0247781 | + | 0.0107626i | −0.410754 | − | 0.911746i | \(-0.634734\pi\) |
0.385976 | + | 0.922509i | \(0.373865\pi\) | |||||||
\(798\) | −4001.15 | −0.177493 | ||||||||
\(799\) | −17168.5 | + | 30904.1i | −0.760170 | + | 1.36835i | ||||
\(800\) | 1350.68 | 0.0596924 | ||||||||
\(801\) | −141.229 | + | 61.3444i | −0.00622981 | + | 0.00270599i | ||||
\(802\) | 233.075 | − | 3407.44i | 0.0102621 | − | 0.150026i | ||||
\(803\) | 2895.76 | − | 3100.60i | 0.127259 | − | 0.136261i | ||||
\(804\) | −26487.0 | + | 16107.1i | −1.16185 | + | 0.706534i | ||||
\(805\) | 947.185 | + | 2665.12i | 0.0414707 | + | 0.116687i | ||||
\(806\) | −93.8369 | − | 451.568i | −0.00410082 | − | 0.0197342i | ||||
\(807\) | 10469.9 | − | 29459.5i | 0.456701 | − | 1.28503i | ||||
\(808\) | −5215.21 | − | 716.814i | −0.227067 | − | 0.0312097i | ||||
\(809\) | 18090.1 | − | 25627.9i | 0.786175 | − | 1.11376i | −0.204681 | − | 0.978829i | \(-0.565616\pi\) |
0.990856 | − | 0.134927i | \(-0.0430800\pi\) | |||||||
\(810\) | −834.284 | + | 678.740i | −0.0361898 | + | 0.0294426i | ||||
\(811\) | 14268.2 | + | 15277.5i | 0.617785 | + | 0.661486i | 0.960606 | − | 0.277915i | \(-0.0896432\pi\) |
−0.342821 | + | 0.939401i | \(0.611382\pi\) | |||||||
\(812\) | 64168.7 | + | 17979.2i | 2.77325 | + | 0.777028i | ||||
\(813\) | 16169.0 | + | 22906.3i | 0.697505 | + | 0.988140i | ||||
\(814\) | −269.419 | − | 519.955i | −0.0116009 | − | 0.0223887i | ||||
\(815\) | −41.8399 | − | 611.678i | −0.00179827 | − | 0.0262897i | ||||
\(816\) | −27927.9 | − | 22721.1i | −1.19813 | − | 0.974750i | ||||
\(817\) | 28411.7 | − | 7960.57i | 1.21664 | − | 0.340888i | ||||
\(818\) | 2915.57 | + | 1773.00i | 0.124622 | + | 0.0757842i | ||||
\(819\) | −171.488 | + | 825.244i | −0.00731656 | + | 0.0352092i | ||||
\(820\) | −11024.6 | + | 1515.30i | −0.469508 | + | 0.0645324i | ||||
\(821\) | −3410.12 | + | 6581.24i | −0.144962 | + | 0.279765i | −0.949278 | − | 0.314437i | \(-0.898184\pi\) |
0.804316 | + | 0.594202i | \(0.202532\pi\) | |||||||
\(822\) | 585.305 | + | 254.234i | 0.0248356 | + | 0.0107876i | ||||
\(823\) | 4339.10 | + | 1884.74i | 0.183781 | + | 0.0798272i | 0.488287 | − | 0.872683i | \(-0.337622\pi\) |
−0.304506 | + | 0.952510i | \(0.598491\pi\) | |||||||
\(824\) | 1216.31 | − | 2347.37i | 0.0514224 | − | 0.0992407i | ||||
\(825\) | −2357.42 | + | 324.020i | −0.0994848 | + | 0.0136739i | ||||
\(826\) | 833.156 | − | 4009.37i | 0.0350959 | − | 0.168891i | ||||
\(827\) | 34568.6 | + | 21021.6i | 1.45353 | + | 0.883911i | 0.999973 | − | 0.00731691i | \(-0.00232907\pi\) |
0.453556 | + | 0.891228i | \(0.350155\pi\) | |||||||
\(828\) | 118.282 | − | 33.1410i | 0.00496446 | − | 0.00139098i | ||||
\(829\) | 15041.2 | + | 12236.9i | 0.630160 | + | 0.512673i | 0.891763 | − | 0.452502i | \(-0.149469\pi\) |
−0.261603 | + | 0.965176i | \(0.584251\pi\) | |||||||
\(830\) | 80.3876 | + | 1175.22i | 0.00336180 | + | 0.0491478i | ||||
\(831\) | −5967.89 | − | 11517.5i | −0.249126 | − | 0.480792i | ||||
\(832\) | 6910.92 | + | 9790.54i | 0.287972 | + | 0.407964i | ||||
\(833\) | 94105.4 | + | 26367.1i | 3.91423 | + | 1.09672i | ||||
\(834\) | 61.8685 | + | 66.2449i | 0.00256874 | + | 0.00275045i | ||||
\(835\) | −8519.07 | + | 6930.77i | −0.353071 | + | 0.287245i | ||||
\(836\) | 6207.36 | − | 8793.82i | 0.256801 | − | 0.363805i | ||||
\(837\) | −8852.26 | − | 1216.72i | −0.365566 | − | 0.0502459i | ||||
\(838\) | −698.485 | + | 1965.35i | −0.0287933 | + | 0.0810165i | ||||
\(839\) | 4231.60 | + | 20363.6i | 0.174125 | + | 0.837936i | 0.971976 | + | 0.235081i | \(0.0755356\pi\) |
−0.797851 | + | 0.602855i | \(0.794030\pi\) | |||||||
\(840\) | 1412.20 | + | 3973.55i | 0.0580066 | + | 0.163215i | ||||
\(841\) | 28209.1 | − | 17154.3i | 1.15663 | − | 0.703363i | ||||
\(842\) | −628.179 | + | 672.616i | −0.0257108 | + | 0.0275295i | ||||
\(843\) | −1755.71 | + | 25667.5i | −0.0717316 | + | 1.04868i | ||||
\(844\) | −31430.4 | + | 13652.1i | −1.28185 | + | 0.556784i | ||||
\(845\) | 7881.54 | 0.320868 | ||||||||
\(846\) | −38.4315 | − | 79.7525i | −0.00156182 | − | 0.00324107i | ||||
\(847\) | 35370.7 | 1.43489 | ||||||||
\(848\) | −9703.88 | + | 4214.99i | −0.392963 | + | 0.170688i | ||||
\(849\) | −2400.27 | + | 35090.7i | −0.0970283 | + | 1.41850i | ||||
\(850\) | 534.049 | − | 571.827i | 0.0215503 | − | 0.0230747i | ||||
\(851\) | 1569.46 | − | 954.408i | 0.0632201 | − | 0.0384450i | ||||
\(852\) | 36.2006 | + | 101.859i | 0.00145565 | + | 0.00409580i | ||||
\(853\) | −4306.88 | − | 20725.8i | −0.172878 | − | 0.831933i | −0.972767 | − | 0.231785i | \(-0.925543\pi\) |
0.799889 | − | 0.600148i | \(-0.204891\pi\) | |||||||
\(854\) | −942.706 | + | 2652.52i | −0.0377737 | + | 0.106285i | ||||
\(855\) | 360.307 | + | 49.5230i | 0.0144120 | + | 0.00198088i | ||||
\(856\) | 3225.70 | − | 4569.77i | 0.128799 | − | 0.182467i | ||||
\(857\) | 1113.24 | − | 905.689i | 0.0443729 | − | 0.0361001i | −0.608643 | − | 0.793444i | \(-0.708286\pi\) |
0.653016 | + | 0.757344i | \(0.273503\pi\) | |||||||
\(858\) | 461.704 | + | 494.364i | 0.0183710 | + | 0.0196705i | ||||
\(859\) | −47619.9 | − | 13342.5i | −1.89147 | − | 0.529965i | −0.996476 | − | 0.0838839i | \(-0.973268\pi\) |
−0.894993 | − | 0.446081i | \(-0.852819\pi\) | |||||||
\(860\) | −8920.92 | − | 12638.1i | −0.353722 | − | 0.501110i | ||||
\(861\) | −24017.7 | − | 46352.0i | −0.950662 | − | 1.83469i | ||||
\(862\) | −232.382 | − | 3397.31i | −0.00918209 | − | 0.134237i | ||||
\(863\) | −19184.2 | − | 15607.5i | −0.756705 | − | 0.615625i | 0.172577 | − | 0.984996i | \(-0.444791\pi\) |
−0.929282 | + | 0.369371i | \(0.879573\pi\) | |||||||
\(864\) | −7162.82 | + | 2006.93i | −0.282042 | + | 0.0790244i | ||||
\(865\) | 9742.12 | + | 5924.31i | 0.382939 | + | 0.232870i | ||||
\(866\) | −144.800 | + | 696.815i | −0.00568187 | + | 0.0273427i | ||||
\(867\) | −37326.2 | + | 5130.37i | −1.46213 | + | 0.200965i | ||||
\(868\) | −8304.58 | + | 16027.1i | −0.324742 | + | 0.626723i | ||||
\(869\) | 15353.6 | + | 6668.99i | 0.599348 | + | 0.260334i | ||||
\(870\) | 1657.42 | + | 719.920i | 0.0645884 | + | 0.0280547i | ||||
\(871\) | 8485.47 | − | 16376.2i | 0.330102 | − | 0.637069i | ||||
\(872\) | 3355.62 | − | 461.220i | 0.130316 | − | 0.0179116i | ||||
\(873\) | −318.478 | + | 1532.60i | −0.0123469 | + | 0.0594166i | ||||
\(874\) | −296.426 | − | 180.261i | −0.0114723 | − | 0.00697645i | ||||
\(875\) | 4227.76 | − | 1184.56i | 0.163342 | − | 0.0457663i | ||||
\(876\) | 7655.98 | + | 6228.60i | 0.295287 | + | 0.240234i | ||||
\(877\) | −1161.11 | − | 16974.8i | −0.0447067 | − | 0.653589i | −0.964982 | − | 0.262317i | \(-0.915513\pi\) |
0.920275 | − | 0.391272i | \(-0.127965\pi\) | |||||||
\(878\) | 2032.47 | + | 3922.49i | 0.0781237 | + | 0.150772i | ||||
\(879\) | −17314.9 | − | 24529.6i | −0.664410 | − | 0.941255i | ||||
\(880\) | −5377.69 | − | 1506.76i | −0.206002 | − | 0.0577191i | ||||
\(881\) | 12347.4 | + | 13220.8i | 0.472184 | + | 0.505586i | 0.921816 | − | 0.387628i | \(-0.126706\pi\) |
−0.449632 | + | 0.893214i | \(0.648445\pi\) | |||||||
\(882\) | −189.840 | + | 154.447i | −0.00724746 | + | 0.00589625i | ||||
\(883\) | 26227.5 | − | 37155.9i | 0.999575 | − | 1.41608i | 0.0922062 | − | 0.995740i | \(-0.470608\pi\) |
0.907369 | − | 0.420335i | \(-0.138088\pi\) | |||||||
\(884\) | 21443.8 | + | 2947.38i | 0.815874 | + | 0.112139i | ||||
\(885\) | −3618.84 | + | 10182.4i | −0.137453 | + | 0.386756i | ||||
\(886\) | 332.475 | + | 1599.96i | 0.0126069 | + | 0.0606678i | ||||
\(887\) | −15451.3 | − | 43475.9i | −0.584898 | − | 1.64575i | −0.751508 | − | 0.659724i | \(-0.770673\pi\) |
0.166610 | − | 0.986023i | \(-0.446718\pi\) | |||||||
\(888\) | 2339.97 | − | 1422.97i | 0.0884283 | − | 0.0537744i | ||||
\(889\) | 25912.3 | − | 27745.3i | 0.977581 | − | 1.04673i | ||||
\(890\) | 15.5594 | − | 227.470i | 0.000586014 | − | 0.00856722i | ||||
\(891\) | 12449.6 | − | 5407.61i | 0.468099 | − | 0.203324i | ||||
\(892\) | −30752.1 | −1.15432 | ||||||||
\(893\) | 8810.51 | − | 22682.2i | 0.330159 | − | 0.849978i | ||||
\(894\) | 821.089 | 0.0307174 | ||||||||
\(895\) | 14777.4 | − | 6418.73i | 0.551904 | − | 0.239726i | ||||
\(896\) | −1364.92 | + | 19954.4i | −0.0508913 | + | 0.744005i | ||||
\(897\) | −1448.22 | + | 1550.66i | −0.0539069 | + | 0.0577202i | ||||
\(898\) | −2597.11 | + | 1579.33i | −0.0965106 | + | 0.0586894i | ||||
\(899\) | 5207.14 | + | 14651.5i | 0.193179 | + | 0.543553i | ||||
\(900\) | −38.7948 | − | 186.691i | −0.00143685 | − | 0.00691448i | ||||
\(901\) | −6264.31 | + | 17626.1i | −0.231625 | + | 0.651731i | ||||
\(902\) | −1429.68 | − | 196.505i | −0.0527751 | − | 0.00725377i | ||||
\(903\) | 41849.8 | − | 59287.7i | 1.54228 | − | 2.18491i | ||||
\(904\) | −3713.53 | + | 3021.18i | −0.136626 | + | 0.111154i | ||||
\(905\) | 392.780 | + | 420.565i | 0.0144270 | + | 0.0154476i | ||||
\(906\) | −1940.23 | − | 543.628i | −0.0711479 | − | 0.0199347i | ||||
\(907\) | 3401.03 | + | 4818.17i | 0.124509 | + | 0.176389i | 0.874450 | − | 0.485116i | \(-0.161223\pi\) |
−0.749941 | + | 0.661505i | \(0.769918\pi\) | |||||||
\(908\) | −19944.2 | − | 38490.6i | −0.728934 | − | 1.40678i | ||||
\(909\) | 76.2027 | + | 1114.04i | 0.00278051 | + | 0.0406496i | ||||
\(910\) | −968.159 | − | 787.656i | −0.0352683 | − | 0.0286929i | ||||
\(911\) | 25009.9 | − | 7007.45i | 0.909567 | − | 0.254849i | 0.216974 | − | 0.976177i | \(-0.430381\pi\) |
0.692593 | + | 0.721328i | \(0.256468\pi\) | |||||||
\(912\) | 21173.2 | + | 12875.7i | 0.768765 | + | 0.467497i | ||||
\(913\) | 3024.66 | − | 14555.4i | 0.109640 | − | 0.527618i | ||||
\(914\) | −5055.36 | + | 694.843i | −0.182950 | + | 0.0251459i | ||||
\(915\) | 3417.68 | − | 6595.83i | 0.123481 | − | 0.238308i | ||||
\(916\) | −33003.6 | − | 14335.5i | −1.19047 | − | 0.517093i | ||||
\(917\) | 9441.81 | + | 4101.16i | 0.340018 | + | 0.147690i | ||||
\(918\) | −1982.46 | + | 3825.98i | −0.0712756 | + | 0.137556i | ||||
\(919\) | −22011.0 | + | 3025.34i | −0.790070 | + | 0.108593i | −0.519908 | − | 0.854222i | \(-0.674034\pi\) |
−0.270162 | + | 0.962815i | \(0.587077\pi\) | |||||||
\(920\) | −74.3942 | + | 358.004i | −0.00266598 | + | 0.0128294i | ||||
\(921\) | −28797.7 | − | 17512.2i | −1.03031 | − | 0.626545i | ||||
\(922\) | −129.245 | + | 36.2128i | −0.00461655 | + | 0.00129350i | ||||
\(923\) | −49.8910 | − | 40.5893i | −0.00177918 | − | 0.00144747i | ||||
\(924\) | −1806.66 | − | 26412.5i | −0.0643234 | − | 0.940375i | ||||
\(925\) | −1311.81 | − | 2531.69i | −0.0466294 | − | 0.0899906i | ||||
\(926\) | 2625.81 | + | 3719.93i | 0.0931852 | + | 0.132013i | ||||
\(927\) | −539.999 | − | 151.301i | −0.0191326 | − | 0.00536069i | ||||
\(928\) | 8835.34 | + | 9460.34i | 0.312537 | + | 0.334645i | ||||
\(929\) | −21374.1 | + | 17389.2i | −0.754858 | + | 0.614122i | −0.928778 | − | 0.370637i | \(-0.879139\pi\) |
0.173920 | + | 0.984760i | \(0.444357\pi\) | |||||||
\(930\) | −282.269 | + | 399.884i | −0.00995265 | + | 0.0140997i | ||||
\(931\) | −66640.4 | − | 9159.51i | −2.34592 | − | 0.322439i | ||||
\(932\) | 7561.57 | − | 21276.2i | 0.265759 | − | 0.747775i | ||||
\(933\) | −10352.4 | − | 49818.4i | −0.363260 | − | 1.74810i | ||||
\(934\) | −772.734 | − | 2174.27i | −0.0270713 | − | 0.0761715i | ||||
\(935\) | −8436.97 | + | 5130.63i | −0.295100 | + | 0.179454i | ||||
\(936\) | −74.3740 | + | 79.6351i | −0.00259721 | + | 0.00278093i | ||||
\(937\) | 473.465 | − | 6921.81i | 0.0165074 | − | 0.241330i | −0.982091 | − | 0.188406i | \(-0.939668\pi\) |
0.998599 | − | 0.0529233i | \(-0.0168539\pi\) | |||||||
\(938\) | 6803.40 | − | 2955.13i | 0.236822 | − | 0.102866i | ||||
\(939\) | 15058.8 | 0.523351 | ||||||||
\(940\) | −12752.2 | − | 370.140i | −0.442479 | − | 0.0128432i | ||||
\(941\) | 18936.3 | 0.656012 | 0.328006 | − | 0.944676i | \(-0.393623\pi\) | ||||
0.328006 | + | 0.944676i | \(0.393623\pi\) | |||||||
\(942\) | −3393.57 | + | 1474.04i | −0.117376 | + | 0.0509838i | ||||
\(943\) | 308.907 | − | 4516.05i | 0.0106674 | − | 0.155952i | ||||
\(944\) | −17311.0 | + | 18535.6i | −0.596849 | + | 0.639069i | ||||
\(945\) | −20660.1 | + | 12563.7i | −0.711190 | + | 0.432484i | ||||
\(946\) | −671.798 | − | 1890.26i | −0.0230888 | − | 0.0649657i | ||||
\(947\) | −2997.86 | − | 14426.5i | −0.102869 | − | 0.495034i | −0.998715 | − | 0.0506700i | \(-0.983864\pi\) |
0.895846 | − | 0.444364i | \(-0.146570\pi\) | |||||||
\(948\) | −13040.8 | + | 36693.2i | −0.446777 | + | 1.25711i | ||||
\(949\) | −5817.44 | − | 799.588i | −0.198991 | − | 0.0273506i | ||||
\(950\) | −310.567 | + | 439.974i | −0.0106065 | + | 0.0150259i | ||||
\(951\) | −7429.38 | + | 6044.25i | −0.253327 | + | 0.206097i | ||||
\(952\) | 11944.2 | + | 12789.1i | 0.406632 | + | 0.435397i | ||||
\(953\) | −45178.1 | − | 12658.3i | −1.53564 | − | 0.430265i | −0.605005 | − | 0.796222i | \(-0.706829\pi\) |
−0.930632 | + | 0.365956i | \(0.880742\pi\) | |||||||
\(954\) | −27.0136 | − | 38.2696i | −0.000916770 | − | 0.00129877i | ||||
\(955\) | −3451.63 | − | 6661.34i | −0.116955 | − | 0.225713i | ||||
\(956\) | 916.089 | + | 13392.8i | 0.0309921 | + | 0.453088i | ||||
\(957\) | −17690.3 | − | 14392.1i | −0.597540 | − | 0.486135i | ||||
\(958\) | 1545.04 | − | 432.901i | 0.0521066 | − | 0.0145996i | ||||
\(959\) | 12696.2 | + | 7720.74i | 0.427510 | + | 0.259975i | ||||
\(960\) | 2587.59 | − | 12452.2i | 0.0869940 | − | 0.418638i | ||||
\(961\) | 25340.9 | − | 3483.03i | 0.850622 | − | 0.116915i | ||||
\(962\) | −372.905 | + | 719.674i | −0.0124979 | + | 0.0241198i | ||||
\(963\) | −1088.27 | − | 472.703i | −0.0364165 | − | 0.0158179i | ||||
\(964\) | 42669.5 | + | 18534.0i | 1.42561 | + | 0.619232i | ||||
\(965\) | −9807.68 | + | 18928.0i | −0.327171 | + | 0.631412i | ||||
\(966\) | −845.343 | + | 116.190i | −0.0281557 | + | 0.00386992i | ||||
\(967\) | −10708.0 | + | 51529.9i | −0.356098 | + | 1.71364i | 0.295728 | + | 0.955272i | \(0.404438\pi\) |
−0.651827 | + | 0.758368i | \(0.725997\pi\) | |||||||
\(968\) | 3906.94 | + | 2375.86i | 0.129725 | + | 0.0788875i | ||||
\(969\) | 42190.3 | − | 11821.2i | 1.39871 | − | 0.391900i | ||||
\(970\) | −1798.02 | − | 1462.80i | −0.0595164 | − | 0.0484201i | ||||
\(971\) | 1060.00 | + | 15496.6i | 0.0350329 | + | 0.512162i | 0.981760 | + | 0.190125i | \(0.0608894\pi\) |
−0.946727 | + | 0.322037i | \(0.895632\pi\) | |||||||
\(972\) | 984.132 | + | 1899.29i | 0.0324753 | + | 0.0626746i | ||||
\(973\) | 1217.19 | + | 1724.36i | 0.0401041 | + | 0.0568146i | ||||
\(974\) | −1397.11 | − | 391.451i | −0.0459611 | − | 0.0128777i | ||||
\(975\) | 2248.06 | + | 2407.09i | 0.0738416 | + | 0.0790651i | ||||
\(976\) | 13524.4 | − | 11002.9i | 0.443550 | − | 0.360855i | ||||
\(977\) | −485.754 | + | 688.156i | −0.0159065 | + | 0.0225344i | −0.824845 | − | 0.565358i | \(-0.808738\pi\) |
0.808939 | + | 0.587893i | \(0.200042\pi\) | |||||||
\(978\) | 183.241 | + | 25.1859i | 0.00599121 | + | 0.000823473i | ||||
\(979\) | −963.603 | + | 2711.32i | −0.0314575 | + | 0.0885129i | ||||
\(980\) | 7175.28 | + | 34529.4i | 0.233884 | + | 1.12551i | ||||
\(981\) | −240.606 | − | 676.999i | −0.00783073 | − | 0.0220336i | ||||
\(982\) | 999.167 | − | 607.607i | 0.0324691 | − | 0.0197449i | ||||
\(983\) | 20031.6 | − | 21448.7i | 0.649960 | − | 0.695937i | −0.317701 | − | 0.948191i | \(-0.602911\pi\) |
0.967661 | + | 0.252254i | \(0.0811718\pi\) | |||||||
\(984\) | 460.562 | − | 6733.18i | 0.0149209 | − | 0.218136i | ||||
\(985\) | 13601.5 | − | 5907.97i | 0.439980 | − | 0.191110i | ||||
\(986\) | 7498.55 | 0.242193 | ||||||||
\(987\) | −18397.4 | − | 56950.4i | −0.593307 | − | 1.83663i | ||||
\(988\) | −14898.5 | −0.479741 | ||||||||
\(989\) | 5771.50 | − | 2506.92i | 0.185564 | − | 0.0806020i | ||||
\(990\) | 1.68746 | − | 24.6698i | 5.41727e−5 | − | 0.000791976i | ||||
\(991\) | 10961.9 | − | 11737.4i | 0.351379 | − | 0.376236i | −0.530521 | − | 0.847672i | \(-0.678004\pi\) |
0.881900 | + | 0.471437i | \(0.156264\pi\) | |||||||
\(992\) | −2995.86 | + | 1821.83i | −0.0958859 | + | 0.0583095i | ||||
\(993\) | −7757.47 | − | 21827.4i | −0.247911 | − | 0.697555i | ||||
\(994\) | −5.26250 | − | 25.3245i | −0.000167924 | − | 0.000808094i | ||||
\(995\) | 6881.91 | − | 19363.8i | 0.219267 | − | 0.616959i | ||||
\(996\) | 34262.3 | + | 4709.25i | 1.09000 | + | 0.149817i | ||||
\(997\) | −33460.8 | + | 47403.1i | −1.06290 | + | 1.50579i | −0.214292 | + | 0.976770i | \(0.568744\pi\) |
−0.848610 | + | 0.529019i | \(0.822560\pi\) | |||||||
\(998\) | −3504.54 | + | 2851.16i | −0.111157 | + | 0.0904327i | ||||
\(999\) | 10718.4 | + | 11476.6i | 0.339455 | + | 0.363468i |
(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 | 235.4.g.b.6.11 | ✓ | 550 | |
47.8 | even | 23 | inner | 235.4.g.b.196.11 | yes | 550 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
235.4.g.b.6.11 | ✓ | 550 | 1.1 | even | 1 | trivial | |
235.4.g.b.196.11 | yes | 550 | 47.8 | even | 23 | inner |