Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 143.2 | ||
Character | \(\chi\) | \(=\) | 210.143 |
Dual form | 210.3.w.a.47.2 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.366025 | − | 1.36603i | 0.183013 | − | 0.683013i | ||||
\(3\) | −2.84148 | − | 0.962278i | −0.947161 | − | 0.320759i | ||||
\(4\) | −1.73205 | − | 1.00000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −4.69598 | + | 1.71691i | −0.939196 | + | 0.343381i | ||||
\(6\) | −2.35455 | + | 3.52932i | −0.392425 | + | 0.588220i | ||||
\(7\) | −1.00349 | − | 6.92770i | −0.143356 | − | 0.989671i | ||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | 7.14804 | + | 5.46859i | 0.794227 | + | 0.607621i | ||||
\(10\) | 0.626491 | + | 7.04326i | 0.0626491 | + | 0.704326i | ||||
\(11\) | 8.28471 | + | 4.78318i | 0.753155 | + | 0.434834i | 0.826833 | − | 0.562448i | \(-0.190140\pi\) |
−0.0736777 | + | 0.997282i | \(0.523474\pi\) | |||||||
\(12\) | 3.95931 | + | 4.50820i | 0.329943 | + | 0.375683i | ||||
\(13\) | −9.08652 | + | 9.08652i | −0.698963 | + | 0.698963i | −0.964187 | − | 0.265224i | \(-0.914554\pi\) |
0.265224 | + | 0.964187i | \(0.414554\pi\) | |||||||
\(14\) | −9.83072 | − | 1.16492i | −0.702194 | − | 0.0832084i | ||||
\(15\) | 14.9957 | − | 0.359725i | 0.999712 | − | 0.0239817i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 6.55954 | + | 24.4806i | 0.385856 | + | 1.44003i | 0.836814 | + | 0.547488i | \(0.184416\pi\) |
−0.450958 | + | 0.892545i | \(0.648918\pi\) | |||||||
\(18\) | 10.0866 | − | 7.76277i | 0.560367 | − | 0.431265i | ||||
\(19\) | 10.4928 | + | 18.1740i | 0.552250 | + | 0.956526i | 0.998112 | + | 0.0614237i | \(0.0195641\pi\) |
−0.445861 | + | 0.895102i | \(0.647103\pi\) | |||||||
\(20\) | 9.85058 | + | 1.72221i | 0.492529 | + | 0.0861105i | ||||
\(21\) | −3.81496 | + | 20.6506i | −0.181665 | + | 0.983360i | ||||
\(22\) | 9.56635 | − | 9.56635i | 0.434834 | − | 0.434834i | ||||
\(23\) | −33.1729 | − | 8.88865i | −1.44230 | − | 0.386463i | −0.548962 | − | 0.835848i | \(-0.684977\pi\) |
−0.893338 | + | 0.449384i | \(0.851643\pi\) | |||||||
\(24\) | 7.60752 | − | 3.75841i | 0.316980 | − | 0.156600i | ||||
\(25\) | 19.1045 | − | 16.1251i | 0.764178 | − | 0.645005i | ||||
\(26\) | 9.08652 | + | 15.7383i | 0.349481 | + | 0.605320i | ||||
\(27\) | −15.0487 | − | 22.4173i | −0.557361 | − | 0.830271i | ||||
\(28\) | −5.18960 | + | 13.0026i | −0.185343 | + | 0.464379i | ||||
\(29\) | −6.08119 | −0.209696 | −0.104848 | − | 0.994488i | \(-0.533436\pi\) | ||||
−0.104848 | + | 0.994488i | \(0.533436\pi\) | |||||||
\(30\) | 4.99741 | − | 20.6162i | 0.166580 | − | 0.687205i | ||||
\(31\) | 7.22620 | + | 4.17205i | 0.233103 | + | 0.134582i | 0.612003 | − | 0.790856i | \(-0.290364\pi\) |
−0.378900 | + | 0.925438i | \(0.623697\pi\) | |||||||
\(32\) | 5.46410 | − | 1.46410i | 0.170753 | − | 0.0457532i | ||||
\(33\) | −18.9381 | − | 21.5635i | −0.573882 | − | 0.653439i | ||||
\(34\) | 35.8420 | 1.05418 | ||||||||
\(35\) | 16.6066 | + | 30.8094i | 0.474474 | + | 0.880269i | ||||
\(36\) | −6.91218 | − | 16.6199i | −0.192005 | − | 0.461664i | ||||
\(37\) | −14.2075 | − | 3.80688i | −0.383986 | − | 0.102889i | 0.0616620 | − | 0.998097i | \(-0.480360\pi\) |
−0.445648 | + | 0.895208i | \(0.647027\pi\) | |||||||
\(38\) | 28.6667 | − | 7.68123i | 0.754388 | − | 0.202138i | ||||
\(39\) | 34.5629 | − | 17.0754i | 0.886229 | − | 0.437831i | ||||
\(40\) | 5.95815 | − | 12.8258i | 0.148954 | − | 0.320644i | ||||
\(41\) | −55.3266 | −1.34943 | −0.674714 | − | 0.738079i | \(-0.735733\pi\) | ||||
−0.674714 | + | 0.738079i | \(0.735733\pi\) | |||||||
\(42\) | 26.8128 | + | 12.7700i | 0.638401 | + | 0.304047i | ||||
\(43\) | 57.2947 | + | 57.2947i | 1.33243 | + | 1.33243i | 0.903187 | + | 0.429248i | \(0.141221\pi\) |
0.429248 | + | 0.903187i | \(0.358779\pi\) | |||||||
\(44\) | −9.56635 | − | 16.5694i | −0.217417 | − | 0.376578i | ||||
\(45\) | −42.9561 | − | 13.4079i | −0.954581 | − | 0.297952i | ||||
\(46\) | −24.2842 | + | 42.0616i | −0.527918 | + | 0.914382i | ||||
\(47\) | −74.4838 | − | 19.9579i | −1.58476 | − | 0.424636i | −0.644366 | − | 0.764717i | \(-0.722879\pi\) |
−0.940396 | + | 0.340081i | \(0.889545\pi\) | |||||||
\(48\) | −2.34954 | − | 11.7677i | −0.0489487 | − | 0.245161i | ||||
\(49\) | −46.9860 | + | 13.9038i | −0.958898 | + | 0.283751i | ||||
\(50\) | −15.0346 | − | 31.9994i | −0.300692 | − | 0.639988i | ||||
\(51\) | 4.91826 | − | 75.8732i | 0.0964365 | − | 1.48771i | ||||
\(52\) | 24.8248 | − | 6.65179i | 0.477401 | − | 0.127919i | ||||
\(53\) | −0.192127 | − | 0.717027i | −0.00362504 | − | 0.0135288i | 0.964090 | − | 0.265577i | \(-0.0855625\pi\) |
−0.967715 | + | 0.252048i | \(0.918896\pi\) | |||||||
\(54\) | −36.1308 | + | 12.3517i | −0.669089 | + | 0.228734i | ||||
\(55\) | −47.1171 | − | 8.23763i | −0.856674 | − | 0.149775i | ||||
\(56\) | 15.8624 | + | 11.8484i | 0.283257 | + | 0.211579i | ||||
\(57\) | −12.3266 | − | 61.7380i | −0.216255 | − | 1.08312i | ||||
\(58\) | −2.22587 | + | 8.30707i | −0.0383771 | + | 0.143225i | ||||
\(59\) | 88.7444 | + | 51.2366i | 1.50414 | + | 0.868417i | 0.999988 | + | 0.00480253i | \(0.00152870\pi\) |
0.504153 | + | 0.863614i | \(0.331805\pi\) | |||||||
\(60\) | −26.3330 | − | 14.3726i | −0.438884 | − | 0.239544i | ||||
\(61\) | −92.7452 | + | 53.5465i | −1.52041 | + | 0.877811i | −0.520703 | + | 0.853738i | \(0.674330\pi\) |
−0.999710 | + | 0.0240733i | \(0.992336\pi\) | |||||||
\(62\) | 8.34410 | − | 8.34410i | 0.134582 | − | 0.134582i | ||||
\(63\) | 30.7117 | − | 55.0072i | 0.487488 | − | 0.873130i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | 27.0694 | − | 58.2708i | 0.416452 | − | 0.896474i | ||||
\(66\) | −36.3881 | + | 17.9771i | −0.551335 | + | 0.272381i | ||||
\(67\) | 6.19858 | + | 23.1334i | 0.0925161 | + | 0.345275i | 0.996631 | − | 0.0820144i | \(-0.0261353\pi\) |
−0.904115 | + | 0.427289i | \(0.859469\pi\) | |||||||
\(68\) | 13.1191 | − | 48.9611i | 0.192928 | − | 0.720016i | ||||
\(69\) | 85.7069 | + | 57.1785i | 1.24213 | + | 0.828674i | ||||
\(70\) | 48.1649 | − | 11.4080i | 0.688070 | − | 0.162971i | ||||
\(71\) | 26.3031i | 0.370466i | 0.982695 | + | 0.185233i | \(0.0593041\pi\) | ||||
−0.982695 | + | 0.185233i | \(0.940696\pi\) | |||||||
\(72\) | −25.2333 | + | 3.35891i | −0.350462 | + | 0.0466515i | ||||
\(73\) | −2.02512 | − | 7.55785i | −0.0277414 | − | 0.103532i | 0.950667 | − | 0.310213i | \(-0.100400\pi\) |
−0.978408 | + | 0.206681i | \(0.933734\pi\) | |||||||
\(74\) | −10.4006 | + | 18.0143i | −0.140548 | + | 0.243437i | ||||
\(75\) | −69.8018 | + | 27.4355i | −0.930691 | + | 0.365806i | ||||
\(76\) | − | 41.9710i | − | 0.552250i | ||||||
\(77\) | 24.8228 | − | 62.1938i | 0.322374 | − | 0.807712i | ||||
\(78\) | −10.6746 | − | 53.4639i | −0.136853 | − | 0.685434i | ||||
\(79\) | −34.5890 | + | 19.9700i | −0.437836 | + | 0.252785i | −0.702679 | − | 0.711507i | \(-0.748013\pi\) |
0.264843 | + | 0.964291i | \(0.414680\pi\) | |||||||
\(80\) | −15.3395 | − | 12.8335i | −0.191744 | − | 0.160419i | ||||
\(81\) | 21.1890 | + | 78.1794i | 0.261593 | + | 0.965178i | ||||
\(82\) | −20.2509 | + | 75.5775i | −0.246963 | + | 0.921677i | ||||
\(83\) | −52.9823 | − | 52.9823i | −0.638340 | − | 0.638340i | 0.311806 | − | 0.950146i | \(-0.399066\pi\) |
−0.950146 | + | 0.311806i | \(0.899066\pi\) | |||||||
\(84\) | 27.2583 | − | 31.9529i | 0.324503 | − | 0.380391i | ||||
\(85\) | −72.8343 | − | 103.698i | −0.856875 | − | 1.21998i | ||||
\(86\) | 99.2373 | − | 57.2947i | 1.15392 | − | 0.666217i | ||||
\(87\) | 17.2796 | + | 5.85180i | 0.198616 | + | 0.0672620i | ||||
\(88\) | −26.1358 | + | 7.00306i | −0.296997 | + | 0.0795802i | ||||
\(89\) | 24.2649 | − | 14.0093i | 0.272639 | − | 0.157408i | −0.357447 | − | 0.933933i | \(-0.616353\pi\) |
0.630086 | + | 0.776525i | \(0.283020\pi\) | |||||||
\(90\) | −34.0385 | + | 53.7715i | −0.378206 | + | 0.597462i | ||||
\(91\) | 72.0669 | + | 53.8304i | 0.791944 | + | 0.591543i | ||||
\(92\) | 48.5685 | + | 48.5685i | 0.527918 | + | 0.527918i | ||||
\(93\) | −16.5184 | − | 18.8084i | −0.177618 | − | 0.202241i | ||||
\(94\) | −54.5260 | + | 94.4417i | −0.580063 | + | 1.00470i | ||||
\(95\) | −80.4768 | − | 67.3296i | −0.847125 | − | 0.708733i | ||||
\(96\) | −16.9350 | − | 1.09776i | −0.176406 | − | 0.0114350i | ||||
\(97\) | −19.4329 | − | 19.4329i | −0.200339 | − | 0.200339i | 0.599806 | − | 0.800145i | \(-0.295244\pi\) |
−0.800145 | + | 0.599806i | \(0.795244\pi\) | |||||||
\(98\) | 1.79485 | + | 69.2732i | 0.0183148 | + | 0.706870i | ||||
\(99\) | 33.0622 | + | 79.4960i | 0.333962 | + | 0.802990i | ||||
\(100\) | −49.2150 | + | 8.82508i | −0.492150 | + | 0.0882508i | ||||
\(101\) | −9.58323 | + | 16.5986i | −0.0948835 | + | 0.164343i | −0.909560 | − | 0.415573i | \(-0.863581\pi\) |
0.814676 | + | 0.579916i | \(0.196915\pi\) | |||||||
\(102\) | −101.844 | − | 34.4900i | −0.998475 | − | 0.338137i | ||||
\(103\) | 117.324 | + | 31.4369i | 1.13907 | + | 0.305213i | 0.778577 | − | 0.627549i | \(-0.215942\pi\) |
0.360493 | + | 0.932762i | \(0.382609\pi\) | |||||||
\(104\) | − | 36.3461i | − | 0.349481i | ||||||
\(105\) | −17.5401 | − | 103.525i | −0.167049 | − | 0.985949i | ||||
\(106\) | −1.04980 | −0.00990378 | ||||||||
\(107\) | 10.1388 | − | 37.8387i | 0.0947555 | − | 0.353632i | −0.902227 | − | 0.431262i | \(-0.858068\pi\) |
0.996982 | + | 0.0776295i | \(0.0247351\pi\) | |||||||
\(108\) | 3.64787 | + | 53.8766i | 0.0337766 | + | 0.498858i | ||||
\(109\) | 25.5309 | + | 14.7403i | 0.234228 | + | 0.135232i | 0.612521 | − | 0.790454i | \(-0.290155\pi\) |
−0.378293 | + | 0.925686i | \(0.623489\pi\) | |||||||
\(110\) | −28.4989 | + | 61.3480i | −0.259081 | + | 0.557709i | ||||
\(111\) | 36.7070 | + | 24.4887i | 0.330694 | + | 0.220619i | ||||
\(112\) | 21.9913 | − | 17.3316i | 0.196351 | − | 0.154746i | ||||
\(113\) | −18.4098 | + | 18.4098i | −0.162919 | + | 0.162919i | −0.783858 | − | 0.620940i | \(-0.786751\pi\) |
0.620940 | + | 0.783858i | \(0.286751\pi\) | |||||||
\(114\) | −88.8475 | − | 5.75929i | −0.779364 | − | 0.0505201i | ||||
\(115\) | 171.040 | − | 15.2139i | 1.48731 | − | 0.132294i | ||||
\(116\) | 10.5329 | + | 6.08119i | 0.0908012 | + | 0.0524241i | ||||
\(117\) | −114.641 | + | 15.2604i | −0.979840 | + | 0.130431i | ||||
\(118\) | 102.473 | − | 102.473i | 0.868417 | − | 0.868417i | ||||
\(119\) | 163.011 | − | 70.0086i | 1.36984 | − | 0.588308i | ||||
\(120\) | −29.2719 | + | 30.7108i | −0.243933 | + | 0.255924i | ||||
\(121\) | −14.7424 | − | 25.5346i | −0.121838 | − | 0.211030i | ||||
\(122\) | 39.1987 | + | 146.292i | 0.321301 | + | 1.19911i | ||||
\(123\) | 157.209 | + | 53.2395i | 1.27813 | + | 0.432842i | ||||
\(124\) | −8.34410 | − | 14.4524i | −0.0672911 | − | 0.116552i | ||||
\(125\) | −62.0288 | + | 108.524i | −0.496231 | + | 0.868191i | ||||
\(126\) | −63.8999 | − | 62.0870i | −0.507142 | − | 0.492754i | ||||
\(127\) | 25.3592 | − | 25.3592i | 0.199679 | − | 0.199679i | −0.600184 | − | 0.799862i | \(-0.704906\pi\) |
0.799862 | + | 0.600184i | \(0.204906\pi\) | |||||||
\(128\) | −10.9282 | − | 2.92820i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | −107.668 | − | 217.935i | −0.834639 | − | 1.68942i | ||||
\(130\) | −69.6913 | − | 58.3061i | −0.536087 | − | 0.448508i | ||||
\(131\) | −4.37875 | − | 7.58421i | −0.0334255 | − | 0.0578947i | 0.848829 | − | 0.528668i | \(-0.177308\pi\) |
−0.882254 | + | 0.470773i | \(0.843975\pi\) | |||||||
\(132\) | 11.2383 | + | 56.2872i | 0.0851383 | + | 0.426418i | ||||
\(133\) | 115.375 | − | 90.9281i | 0.867477 | − | 0.683670i | ||||
\(134\) | 33.8696 | 0.252759 | ||||||||
\(135\) | 109.157 | + | 79.4339i | 0.808570 | + | 0.588399i | ||||
\(136\) | −62.0802 | − | 35.8420i | −0.456472 | − | 0.263544i | ||||
\(137\) | −53.4629 | + | 14.3253i | −0.390240 | + | 0.104565i | −0.448604 | − | 0.893731i | \(-0.648078\pi\) |
0.0583633 | + | 0.998295i | \(0.481412\pi\) | |||||||
\(138\) | 109.478 | − | 96.1490i | 0.793320 | − | 0.696732i | ||||
\(139\) | 2.66639 | 0.0191827 | 0.00959134 | − | 0.999954i | \(-0.496947\pi\) | ||||
0.00959134 | + | 0.999954i | \(0.496947\pi\) | |||||||
\(140\) | 2.04596 | − | 69.9701i | 0.0146140 | − | 0.499786i | ||||
\(141\) | 192.439 | + | 128.384i | 1.36482 | + | 0.910526i | ||||
\(142\) | 35.9307 | + | 9.62761i | 0.253033 | + | 0.0678001i | ||||
\(143\) | −118.742 | + | 31.8167i | −0.830360 | + | 0.222494i | ||||
\(144\) | −4.64766 | + | 35.6987i | −0.0322754 | + | 0.247908i | ||||
\(145\) | 28.5572 | − | 10.4408i | 0.196946 | − | 0.0720058i | ||||
\(146\) | −11.0655 | −0.0757909 | ||||||||
\(147\) | 146.889 | + | 5.70623i | 0.999246 | + | 0.0388179i | ||||
\(148\) | 20.8012 | + | 20.8012i | 0.140548 | + | 0.140548i | ||||
\(149\) | −34.6598 | − | 60.0325i | −0.232616 | − | 0.402903i | 0.725961 | − | 0.687736i | \(-0.241395\pi\) |
−0.958577 | + | 0.284833i | \(0.908062\pi\) | |||||||
\(150\) | 11.9283 | + | 105.393i | 0.0795220 | + | 0.702621i | ||||
\(151\) | −71.5788 | + | 123.978i | −0.474032 | + | 0.821047i | −0.999558 | − | 0.0297305i | \(-0.990535\pi\) |
0.525526 | + | 0.850777i | \(0.323868\pi\) | |||||||
\(152\) | −57.3335 | − | 15.3625i | −0.377194 | − | 0.101069i | ||||
\(153\) | −86.9862 | + | 210.860i | −0.568537 | + | 1.37817i | ||||
\(154\) | −75.8726 | − | 56.6731i | −0.492679 | − | 0.368007i | ||||
\(155\) | −41.0971 | − | 7.18514i | −0.265143 | − | 0.0463557i | ||||
\(156\) | −76.9402 | − | 4.98743i | −0.493206 | − | 0.0319707i | ||||
\(157\) | 103.926 | − | 27.8469i | 0.661949 | − | 0.177369i | 0.0878233 | − | 0.996136i | \(-0.472009\pi\) |
0.574125 | + | 0.818767i | \(0.305342\pi\) | |||||||
\(158\) | 14.6190 | + | 54.5590i | 0.0925256 | + | 0.345310i | ||||
\(159\) | −0.144054 | + | 2.22230i | −0.000906001 | + | 0.0139767i | ||||
\(160\) | −23.1456 | + | 16.2567i | −0.144660 | + | 0.101605i | ||||
\(161\) | −28.2891 | + | 238.732i | −0.175709 | + | 1.48280i | ||||
\(162\) | 114.551 | − | 0.329120i | 0.707104 | − | 0.00203160i | ||||
\(163\) | −21.1523 | + | 78.9415i | −0.129769 | + | 0.484304i | −0.999965 | − | 0.00840214i | \(-0.997325\pi\) |
0.870196 | + | 0.492706i | \(0.163992\pi\) | |||||||
\(164\) | 95.8284 | + | 55.3266i | 0.584320 | + | 0.337357i | ||||
\(165\) | 125.955 | + | 68.7468i | 0.763366 | + | 0.416647i | ||||
\(166\) | −91.7680 | + | 52.9823i | −0.552819 | + | 0.319170i | ||||
\(167\) | 27.5502 | − | 27.5502i | 0.164972 | − | 0.164972i | −0.619793 | − | 0.784765i | \(-0.712784\pi\) |
0.784765 | + | 0.619793i | \(0.212784\pi\) | |||||||
\(168\) | −33.6712 | − | 48.9311i | −0.200424 | − | 0.291256i | ||||
\(169\) | 3.87040i | 0.0229018i | ||||||||
\(170\) | −168.313 | + | 61.5374i | −0.990079 | + | 0.361985i | ||||
\(171\) | −24.3834 | + | 187.289i | −0.142593 | + | 1.09526i | ||||
\(172\) | −41.9426 | − | 156.532i | −0.243853 | − | 0.910070i | ||||
\(173\) | −42.6919 | + | 159.328i | −0.246774 | + | 0.920973i | 0.725709 | + | 0.688001i | \(0.241512\pi\) |
−0.972483 | + | 0.232972i | \(0.925155\pi\) | |||||||
\(174\) | 14.3185 | − | 21.4625i | 0.0822901 | − | 0.123348i | ||||
\(175\) | −130.881 | − | 116.168i | −0.747892 | − | 0.663820i | ||||
\(176\) | 38.2654i | 0.217417i | ||||||||
\(177\) | −202.862 | − | 230.985i | −1.14611 | − | 1.30500i | ||||
\(178\) | −10.2555 | − | 38.2742i | −0.0576154 | − | 0.215024i | ||||
\(179\) | 41.8470 | − | 72.4811i | 0.233782 | − | 0.404922i | −0.725136 | − | 0.688606i | \(-0.758223\pi\) |
0.958918 | + | 0.283683i | \(0.0915564\pi\) | |||||||
\(180\) | 60.9943 | + | 66.1792i | 0.338857 | + | 0.367662i | ||||
\(181\) | − | 54.9853i | − | 0.303786i | −0.988397 | − | 0.151893i | \(-0.951463\pi\) | ||
0.988397 | − | 0.151893i | \(-0.0485370\pi\) | |||||||
\(182\) | 99.9120 | − | 78.7419i | 0.548967 | − | 0.432648i | ||||
\(183\) | 315.060 | − | 62.9047i | 1.72164 | − | 0.343742i | ||||
\(184\) | 84.1231 | − | 48.5685i | 0.457191 | − | 0.263959i | ||||
\(185\) | 73.2540 | − | 6.51587i | 0.395968 | − | 0.0352209i | ||||
\(186\) | −31.7389 | + | 15.6803i | −0.170639 | + | 0.0843025i | ||||
\(187\) | −62.7509 | + | 234.190i | −0.335566 | + | 1.25235i | ||||
\(188\) | 109.052 | + | 109.052i | 0.580063 | + | 0.580063i | ||||
\(189\) | −140.199 | + | 126.749i | −0.741794 | + | 0.670628i | ||||
\(190\) | −121.431 | + | 85.2891i | −0.639108 | + | 0.448890i | ||||
\(191\) | 183.674 | − | 106.044i | 0.961645 | − | 0.555206i | 0.0649662 | − | 0.997887i | \(-0.479306\pi\) |
0.896679 | + | 0.442681i | \(0.145973\pi\) | |||||||
\(192\) | −7.69822 | + | 22.7319i | −0.0400949 | + | 0.118395i | ||||
\(193\) | −74.2332 | + | 19.8907i | −0.384628 | + | 0.103061i | −0.445951 | − | 0.895057i | \(-0.647135\pi\) |
0.0613233 | + | 0.998118i | \(0.480468\pi\) | |||||||
\(194\) | −33.6588 | + | 19.4329i | −0.173499 | + | 0.100170i | ||||
\(195\) | −132.990 | + | 139.527i | −0.682000 | + | 0.715524i | ||||
\(196\) | 95.2859 | + | 22.9039i | 0.486153 | + | 0.116857i | ||||
\(197\) | 164.483 | + | 164.483i | 0.834941 | + | 0.834941i | 0.988188 | − | 0.153247i | \(-0.0489730\pi\) |
−0.153247 | + | 0.988188i | \(0.548973\pi\) | |||||||
\(198\) | 120.695 | − | 16.0662i | 0.609572 | − | 0.0811427i | ||||
\(199\) | 122.872 | − | 212.821i | 0.617449 | − | 1.06945i | −0.372500 | − | 0.928032i | \(-0.621500\pi\) |
0.989950 | − | 0.141421i | \(-0.0451672\pi\) | |||||||
\(200\) | −5.95867 | + | 70.4592i | −0.0297933 | + | 0.352296i | ||||
\(201\) | 4.64761 | − | 71.6979i | 0.0231224 | − | 0.356706i | ||||
\(202\) | 19.1665 | + | 19.1665i | 0.0948835 | + | 0.0948835i | ||||
\(203\) | 6.10243 | + | 42.1287i | 0.0300612 | + | 0.207530i | ||||
\(204\) | −84.3918 | + | 126.498i | −0.413686 | + | 0.620088i | ||||
\(205\) | 259.812 | − | 94.9906i | 1.26738 | − | 0.463369i | ||||
\(206\) | 85.8872 | − | 148.761i | 0.416928 | − | 0.722141i | ||||
\(207\) | −188.513 | − | 244.945i | −0.910691 | − | 1.18331i | ||||
\(208\) | −49.6497 | − | 13.3036i | −0.238700 | − | 0.0639595i | ||||
\(209\) | 200.755i | 0.960550i | ||||||||
\(210\) | −147.837 | − | 13.9324i | −0.703987 | − | 0.0663447i | ||||
\(211\) | −319.893 | −1.51608 | −0.758041 | − | 0.652206i | \(-0.773844\pi\) | ||||
−0.758041 | + | 0.652206i | \(0.773844\pi\) | |||||||
\(212\) | −0.384254 | + | 1.43405i | −0.00181252 | + | 0.00676441i | ||||
\(213\) | 25.3109 | − | 74.7398i | 0.118831 | − | 0.350891i | ||||
\(214\) | −47.9775 | − | 27.6998i | −0.224194 | − | 0.129438i | ||||
\(215\) | −367.424 | − | 170.685i | −1.70895 | − | 0.793884i | ||||
\(216\) | 74.9321 | + | 14.7371i | 0.346908 | + | 0.0682275i | ||||
\(217\) | 21.6513 | − | 54.2475i | 0.0997754 | − | 0.249989i | ||||
\(218\) | 29.4805 | − | 29.4805i | 0.135232 | − | 0.135232i | ||||
\(219\) | −1.51841 | + | 23.4242i | −0.00693337 | + | 0.106960i | ||||
\(220\) | 73.3716 | + | 61.3851i | 0.333507 | + | 0.279023i | ||||
\(221\) | −282.046 | − | 162.840i | −1.27623 | − | 0.736831i | ||||
\(222\) | 46.8879 | − | 41.1792i | 0.211207 | − | 0.185492i | ||||
\(223\) | −72.0790 | + | 72.0790i | −0.323224 | + | 0.323224i | −0.850003 | − | 0.526778i | \(-0.823400\pi\) |
0.526778 | + | 0.850003i | \(0.323400\pi\) | |||||||
\(224\) | −15.6260 | − | 36.3844i | −0.0697591 | − | 0.162431i | ||||
\(225\) | 224.741 | − | 10.7886i | 0.998850 | − | 0.0479495i | ||||
\(226\) | 18.4098 | + | 31.8867i | 0.0814593 | + | 0.141092i | ||||
\(227\) | −79.5359 | − | 296.832i | −0.350378 | − | 1.30763i | −0.886202 | − | 0.463300i | \(-0.846665\pi\) |
0.535823 | − | 0.844330i | \(-0.320001\pi\) | |||||||
\(228\) | −40.3878 | + | 119.260i | −0.177139 | + | 0.523070i | ||||
\(229\) | −182.736 | − | 316.509i | −0.797975 | − | 1.38213i | −0.920933 | − | 0.389722i | \(-0.872571\pi\) |
0.122958 | − | 0.992412i | \(-0.460762\pi\) | |||||||
\(230\) | 41.8226 | − | 239.214i | 0.181837 | − | 1.04006i | ||||
\(231\) | −130.381 | + | 152.836i | −0.564421 | + | 0.661629i | ||||
\(232\) | 12.1624 | − | 12.1624i | 0.0524241 | − | 0.0524241i | ||||
\(233\) | −195.689 | − | 52.4347i | −0.839867 | − | 0.225042i | −0.186853 | − | 0.982388i | \(-0.559829\pi\) |
−0.653013 | + | 0.757346i | \(0.726496\pi\) | |||||||
\(234\) | −21.1155 | + | 162.189i | −0.0902374 | + | 0.693114i | ||||
\(235\) | 384.040 | − | 34.1600i | 1.63421 | − | 0.145362i | ||||
\(236\) | −102.473 | − | 177.489i | −0.434208 | − | 0.752071i | ||||
\(237\) | 117.501 | − | 23.4601i | 0.495784 | − | 0.0989878i | ||||
\(238\) | −35.9672 | − | 248.303i | −0.151123 | − | 1.04329i | ||||
\(239\) | −239.638 | −1.00267 | −0.501334 | − | 0.865254i | \(-0.667157\pi\) | ||||
−0.501334 | + | 0.865254i | \(0.667157\pi\) | |||||||
\(240\) | 31.2375 | + | 51.2271i | 0.130156 | + | 0.213446i | ||||
\(241\) | −150.658 | − | 86.9824i | −0.625137 | − | 0.360923i | 0.153729 | − | 0.988113i | \(-0.450872\pi\) |
−0.778866 | + | 0.627190i | \(0.784205\pi\) | |||||||
\(242\) | −40.2771 | + | 10.7922i | −0.166434 | + | 0.0445959i | ||||
\(243\) | 15.0220 | − | 242.535i | 0.0618190 | − | 0.998087i | ||||
\(244\) | 214.186 | 0.877811 | ||||||||
\(245\) | 196.774 | − | 145.963i | 0.803159 | − | 0.595765i | ||||
\(246\) | 130.269 | − | 195.265i | 0.529550 | − | 0.793761i | ||||
\(247\) | −260.481 | − | 69.7956i | −1.05458 | − | 0.282573i | ||||
\(248\) | −22.7965 | + | 6.10830i | −0.0919214 | + | 0.0246303i | ||||
\(249\) | 99.5645 | + | 201.532i | 0.399857 | + | 0.809365i | ||||
\(250\) | 125.542 | + | 124.455i | 0.502169 | + | 0.497822i | ||||
\(251\) | −15.9751 | −0.0636458 | −0.0318229 | − | 0.999494i | \(-0.510131\pi\) | ||||
−0.0318229 | + | 0.999494i | \(0.510131\pi\) | |||||||
\(252\) | −108.201 | + | 64.5635i | −0.429371 | + | 0.256204i | ||||
\(253\) | −232.312 | − | 232.312i | −0.918228 | − | 0.918228i | ||||
\(254\) | −25.3592 | − | 43.9234i | −0.0998393 | − | 0.172927i | ||||
\(255\) | 107.171 | + | 364.743i | 0.420279 | + | 1.43037i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 114.730 | + | 30.7419i | 0.446422 | + | 0.119618i | 0.475025 | − | 0.879972i | \(-0.342439\pi\) |
−0.0286028 | + | 0.999591i | \(0.509106\pi\) | |||||||
\(258\) | −337.115 | + | 67.3080i | −1.30665 | + | 0.260884i | ||||
\(259\) | −12.1158 | + | 102.245i | −0.0467793 | + | 0.394769i | ||||
\(260\) | −105.156 | + | 73.8586i | −0.404448 | + | 0.284072i | ||||
\(261\) | −43.4686 | − | 33.2556i | −0.166547 | − | 0.127416i | ||||
\(262\) | −11.9630 | + | 3.20547i | −0.0456601 | + | 0.0122346i | ||||
\(263\) | 0.214082 | + | 0.798967i | 0.000814002 | + | 0.00303790i | 0.966332 | − | 0.257300i | \(-0.0828328\pi\) |
−0.965518 | + | 0.260338i | \(0.916166\pi\) | |||||||
\(264\) | 81.0032 | + | 5.25080i | 0.306830 | + | 0.0198894i | ||||
\(265\) | 2.13329 | + | 3.03728i | 0.00805016 | + | 0.0114614i | ||||
\(266\) | −81.9801 | − | 190.886i | −0.308196 | − | 0.717618i | ||||
\(267\) | −82.4290 | + | 16.4577i | −0.308723 | + | 0.0616394i | ||||
\(268\) | 12.3972 | − | 46.2668i | 0.0462580 | − | 0.172637i | ||||
\(269\) | 121.009 | + | 69.8648i | 0.449849 | + | 0.259720i | 0.707766 | − | 0.706447i | \(-0.249703\pi\) |
−0.257918 | + | 0.966167i | \(0.583036\pi\) | |||||||
\(270\) | 148.463 | − | 120.036i | 0.549863 | − | 0.444579i | ||||
\(271\) | 355.001 | − | 204.960i | 1.30997 | − | 0.756309i | 0.327875 | − | 0.944721i | \(-0.393667\pi\) |
0.982090 | + | 0.188412i | \(0.0603341\pi\) | |||||||
\(272\) | −71.6840 | + | 71.6840i | −0.263544 | + | 0.263544i | ||||
\(273\) | −152.977 | − | 222.306i | −0.560355 | − | 0.814310i | ||||
\(274\) | 78.2752i | 0.285676i | ||||||||
\(275\) | 235.404 | − | 42.2119i | 0.856015 | − | 0.153498i | ||||
\(276\) | −91.2701 | − | 184.743i | −0.330689 | − | 0.669358i | ||||
\(277\) | 102.570 | + | 382.795i | 0.370287 | + | 1.38193i | 0.860110 | + | 0.510109i | \(0.170395\pi\) |
−0.489823 | + | 0.871822i | \(0.662939\pi\) | |||||||
\(278\) | 0.975968 | − | 3.64236i | 0.00351067 | − | 0.0131020i | ||||
\(279\) | 28.8380 | + | 69.3391i | 0.103362 | + | 0.248527i | ||||
\(280\) | −94.8321 | − | 28.4057i | −0.338686 | − | 0.101449i | ||||
\(281\) | − | 333.039i | − | 1.18519i | −0.805500 | − | 0.592596i | \(-0.798103\pi\) | ||
0.805500 | − | 0.592596i | \(-0.201897\pi\) | |||||||
\(282\) | 245.814 | − | 215.885i | 0.871680 | − | 0.765551i | ||||
\(283\) | −3.01665 | − | 11.2583i | −0.0106596 | − | 0.0397820i | 0.960391 | − | 0.278655i | \(-0.0898886\pi\) |
−0.971051 | + | 0.238873i | \(0.923222\pi\) | |||||||
\(284\) | 26.3031 | − | 45.5583i | 0.0926166 | − | 0.160417i | ||||
\(285\) | 163.884 | + | 268.757i | 0.575031 | + | 0.943007i | ||||
\(286\) | 173.850i | 0.607866i | ||||||||
\(287\) | 55.5198 | + | 383.286i | 0.193449 | + | 1.33549i | ||||
\(288\) | 47.0642 | + | 19.4155i | 0.163417 | + | 0.0674148i | ||||
\(289\) | −305.989 | + | 176.663i | −1.05878 | + | 0.611289i | ||||
\(290\) | −3.80981 | − | 42.8314i | −0.0131373 | − | 0.147695i | ||||
\(291\) | 36.5184 | + | 73.9181i | 0.125493 | + | 0.254014i | ||||
\(292\) | −4.05024 | + | 15.1157i | −0.0138707 | + | 0.0517661i | ||||
\(293\) | 181.483 | + | 181.483i | 0.619396 | + | 0.619396i | 0.945376 | − | 0.325981i | \(-0.105694\pi\) |
−0.325981 | + | 0.945376i | \(0.605694\pi\) | |||||||
\(294\) | 61.5600 | − | 198.566i | 0.209388 | − | 0.675394i | ||||
\(295\) | −504.710 | − | 88.2401i | −1.71088 | − | 0.299119i | ||||
\(296\) | 36.0287 | − | 20.8012i | 0.121719 | − | 0.0702742i | ||||
\(297\) | −17.4484 | − | 257.702i | −0.0587489 | − | 0.867682i | ||||
\(298\) | −94.6923 | + | 25.3727i | −0.317759 | + | 0.0851433i | ||||
\(299\) | 382.193 | − | 220.659i | 1.27824 | − | 0.737991i | ||||
\(300\) | 148.336 | + | 22.2822i | 0.494453 | + | 0.0742740i | ||||
\(301\) | 339.426 | − | 454.415i | 1.12766 | − | 1.50968i | ||||
\(302\) | 143.158 | + | 143.158i | 0.474032 | + | 0.474032i | ||||
\(303\) | 43.2031 | − | 37.9430i | 0.142584 | − | 0.125225i | ||||
\(304\) | −41.9710 | + | 72.6960i | −0.138063 | + | 0.239131i | ||||
\(305\) | 343.595 | − | 410.688i | 1.12654 | − | 1.34652i | ||||
\(306\) | 256.200 | + | 196.005i | 0.837256 | + | 0.640540i | ||||
\(307\) | −398.803 | − | 398.803i | −1.29903 | − | 1.29903i | −0.929031 | − | 0.370003i | \(-0.879357\pi\) |
−0.370003 | − | 0.929031i | \(-0.620643\pi\) | |||||||
\(308\) | −105.188 | + | 82.9001i | −0.341520 | + | 0.269156i | ||||
\(309\) | −303.123 | − | 202.226i | −0.980982 | − | 0.654453i | ||||
\(310\) | −24.8577 | + | 53.5097i | −0.0801860 | + | 0.172612i | ||||
\(311\) | −56.7724 | + | 98.3327i | −0.182548 | + | 0.316182i | −0.942748 | − | 0.333507i | \(-0.891768\pi\) |
0.760200 | + | 0.649690i | \(0.225101\pi\) | |||||||
\(312\) | −34.9750 | + | 103.277i | −0.112099 | + | 0.331015i | ||||
\(313\) | −321.237 | − | 86.0751i | −1.02632 | − | 0.275000i | −0.293884 | − | 0.955841i | \(-0.594948\pi\) |
−0.732432 | + | 0.680841i | \(0.761615\pi\) | |||||||
\(314\) | − | 152.158i | − | 0.484580i | ||||||
\(315\) | −49.7795 | + | 311.042i | −0.158030 | + | 0.987434i | ||||
\(316\) | 79.8799 | 0.252785 | ||||||||
\(317\) | −127.674 | + | 476.486i | −0.402757 | + | 1.50311i | 0.405398 | + | 0.914140i | \(0.367133\pi\) |
−0.808155 | + | 0.588970i | \(0.799534\pi\) | |||||||
\(318\) | 2.98299 | + | 1.01020i | 0.00938047 | + | 0.00317673i | ||||
\(319\) | −50.3809 | − | 29.0874i | −0.157934 | − | 0.0911832i | ||||
\(320\) | 13.7353 | + | 37.5678i | 0.0429227 | + | 0.117400i | ||||
\(321\) | −65.2207 | + | 97.7615i | −0.203180 | + | 0.304553i | ||||
\(322\) | 315.759 | + | 126.025i | 0.980617 | + | 0.391384i | ||||
\(323\) | −376.082 | + | 376.082i | −1.16434 | + | 1.16434i | ||||
\(324\) | 41.4789 | − | 156.600i | 0.128021 | − | 0.483333i | ||||
\(325\) | −27.0718 | + | 320.114i | −0.0832978 | + | 0.984967i | ||||
\(326\) | 100.094 | + | 57.7892i | 0.307036 | + | 0.177267i | ||||
\(327\) | −58.3613 | − | 66.4519i | −0.178475 | − | 0.203217i | ||||
\(328\) | 110.653 | − | 110.653i | 0.337357 | − | 0.337357i | ||||
\(329\) | −63.5182 | + | 536.029i | −0.193065 | + | 1.62927i | ||||
\(330\) | 140.013 | − | 146.895i | 0.424281 | − | 0.445137i | ||||
\(331\) | 279.109 | + | 483.431i | 0.843229 | + | 1.46052i | 0.887150 | + | 0.461481i | \(0.152682\pi\) |
−0.0439211 | + | 0.999035i | \(0.513985\pi\) | |||||||
\(332\) | 38.7857 | + | 144.750i | 0.116824 | + | 0.435995i | ||||
\(333\) | −80.7373 | − | 104.907i | −0.242454 | − | 0.315035i | ||||
\(334\) | −27.5502 | − | 47.7184i | −0.0824858 | − | 0.142870i | ||||
\(335\) | −68.8263 | − | 97.9916i | −0.205452 | − | 0.292512i | ||||
\(336\) | −79.1656 | + | 28.0857i | −0.235612 | + | 0.0835885i | ||||
\(337\) | −123.082 | + | 123.082i | −0.365227 | + | 0.365227i | −0.865733 | − | 0.500506i | \(-0.833147\pi\) |
0.500506 | + | 0.865733i | \(0.333147\pi\) | |||||||
\(338\) | 5.28707 | + | 1.41667i | 0.0156422 | + | 0.00419132i | ||||
\(339\) | 70.0265 | − | 34.5958i | 0.206568 | − | 0.102052i | ||||
\(340\) | 22.4547 | + | 252.445i | 0.0660432 | + | 0.742484i | ||||
\(341\) | 39.9113 | + | 69.1284i | 0.117042 | + | 0.202723i | ||||
\(342\) | 246.917 | + | 101.861i | 0.721978 | + | 0.297839i | ||||
\(343\) | 143.471 | + | 311.553i | 0.418284 | + | 0.908316i | ||||
\(344\) | −229.179 | −0.666217 | ||||||||
\(345\) | −500.648 | − | 121.358i | −1.45115 | − | 0.351763i | ||||
\(346\) | 202.020 | + | 116.636i | 0.583874 | + | 0.337100i | ||||
\(347\) | 409.122 | − | 109.624i | 1.17903 | − | 0.315919i | 0.384486 | − | 0.923131i | \(-0.374379\pi\) |
0.794540 | + | 0.607212i | \(0.207712\pi\) | |||||||
\(348\) | −24.0774 | − | 27.4152i | −0.0691878 | − | 0.0787794i | ||||
\(349\) | 411.943 | 1.18035 | 0.590176 | − | 0.807275i | \(-0.299058\pi\) | ||||
0.590176 | + | 0.807275i | \(0.299058\pi\) | |||||||
\(350\) | −206.595 | + | 136.266i | −0.590271 | + | 0.389333i | ||||
\(351\) | 340.436 | + | 66.9546i | 0.969903 | + | 0.190754i | ||||
\(352\) | 52.2715 | + | 14.0061i | 0.148499 | + | 0.0397901i | ||||
\(353\) | −104.493 | + | 27.9987i | −0.296013 | + | 0.0793164i | −0.403769 | − | 0.914861i | \(-0.632300\pi\) |
0.107756 | + | 0.994177i | \(0.465633\pi\) | |||||||
\(354\) | −389.783 | + | 192.568i | −1.10108 | + | 0.543978i | ||||
\(355\) | −45.1600 | − | 123.519i | −0.127211 | − | 0.347941i | ||||
\(356\) | −56.0373 | −0.157408 | ||||||||
\(357\) | −530.562 | + | 42.0659i | −1.48617 | + | 0.117832i | ||||
\(358\) | −83.6940 | − | 83.6940i | −0.233782 | − | 0.233782i | ||||
\(359\) | −124.744 | − | 216.062i | −0.347475 | − | 0.601845i | 0.638325 | − | 0.769767i | \(-0.279628\pi\) |
−0.985800 | + | 0.167922i | \(0.946294\pi\) | |||||||
\(360\) | 112.728 | − | 59.0965i | 0.313133 | − | 0.164157i | ||||
\(361\) | −39.6959 | + | 68.7553i | −0.109961 | + | 0.190458i | ||||
\(362\) | −75.1114 | − | 20.1260i | −0.207490 | − | 0.0555968i | ||||
\(363\) | 17.3189 | + | 86.7426i | 0.0477106 | + | 0.238960i | ||||
\(364\) | −70.9931 | − | 165.304i | −0.195036 | − | 0.454132i | ||||
\(365\) | 22.4861 | + | 32.0146i | 0.0616056 | + | 0.0877112i | ||||
\(366\) | 29.3907 | − | 453.405i | 0.0803025 | − | 1.23881i | ||||
\(367\) | 519.821 | − | 139.286i | 1.41641 | − | 0.379525i | 0.532199 | − | 0.846619i | \(-0.321366\pi\) |
0.884208 | + | 0.467094i | \(0.154699\pi\) | |||||||
\(368\) | −35.5546 | − | 132.692i | −0.0966158 | − | 0.360575i | ||||
\(369\) | −395.477 | − | 302.558i | −1.07175 | − | 0.819941i | ||||
\(370\) | 17.9120 | − | 102.452i | 0.0484108 | − | 0.276897i | ||||
\(371\) | −4.77455 | + | 2.05053i | −0.0128694 | + | 0.00552703i | ||||
\(372\) | 9.80238 | + | 49.0956i | 0.0263505 | + | 0.131977i | ||||
\(373\) | −157.849 | + | 589.100i | −0.423187 | + | 1.57936i | 0.344662 | + | 0.938727i | \(0.387993\pi\) |
−0.767850 | + | 0.640630i | \(0.778673\pi\) | |||||||
\(374\) | 296.941 | + | 171.439i | 0.793959 | + | 0.458392i | ||||
\(375\) | 280.684 | − | 248.680i | 0.748490 | − | 0.663146i | ||||
\(376\) | 188.883 | − | 109.052i | 0.502350 | − | 0.290032i | ||||
\(377\) | 55.2569 | − | 55.2569i | 0.146570 | − | 0.146570i | ||||
\(378\) | 121.826 | + | 237.909i | 0.322290 | + | 0.629388i | ||||
\(379\) | − | 119.286i | − | 0.314738i | −0.987540 | − | 0.157369i | \(-0.949699\pi\) | ||
0.987540 | − | 0.157369i | \(-0.0503011\pi\) | |||||||
\(380\) | 72.0604 | + | 197.095i | 0.189633 | + | 0.518671i | ||||
\(381\) | −96.4602 | + | 47.6551i | −0.253177 | + | 0.125079i | ||||
\(382\) | −77.6299 | − | 289.719i | −0.203220 | − | 0.758426i | ||||
\(383\) | −174.952 | + | 652.929i | −0.456793 | + | 1.70478i | 0.225969 | + | 0.974135i | \(0.427445\pi\) |
−0.682762 | + | 0.730641i | \(0.739221\pi\) | |||||||
\(384\) | 28.2346 | + | 18.8364i | 0.0735275 | + | 0.0490531i | ||||
\(385\) | −9.78620 | + | 334.679i | −0.0254187 | + | 0.869297i | ||||
\(386\) | 108.685i | 0.281567i | ||||||||
\(387\) | 96.2238 | + | 722.866i | 0.248640 | + | 1.86787i | ||||
\(388\) | 14.2259 | + | 53.0917i | 0.0366646 | + | 0.136834i | ||||
\(389\) | 28.8116 | − | 49.9032i | 0.0740658 | − | 0.128286i | −0.826614 | − | 0.562770i | \(-0.809736\pi\) |
0.900680 | + | 0.434484i | \(0.143069\pi\) | |||||||
\(390\) | 141.920 | + | 232.738i | 0.363897 | + | 0.596764i | ||||
\(391\) | − | 870.397i | − | 2.22608i | ||||||
\(392\) | 66.1644 | − | 121.780i | 0.168787 | − | 0.310662i | ||||
\(393\) | 5.14401 | + | 25.7640i | 0.0130891 | + | 0.0655572i | ||||
\(394\) | 284.894 | − | 164.483i | 0.723080 | − | 0.417471i | ||||
\(395\) | 128.143 | − | 153.165i | 0.324412 | − | 0.387759i | ||||
\(396\) | 22.2306 | − | 170.753i | 0.0561379 | − | 0.431195i | ||||
\(397\) | −104.074 | + | 388.409i | −0.262151 | + | 0.978360i | 0.701821 | + | 0.712354i | \(0.252371\pi\) |
−0.963971 | + | 0.266006i | \(0.914296\pi\) | |||||||
\(398\) | −245.745 | − | 245.745i | −0.617449 | − | 0.617449i | ||||
\(399\) | −415.333 | + | 147.348i | −1.04093 | + | 0.369294i | ||||
\(400\) | 94.0680 | + | 33.9295i | 0.235170 | + | 0.0848238i | ||||
\(401\) | 137.547 | − | 79.4128i | 0.343010 | − | 0.198037i | −0.318592 | − | 0.947892i | \(-0.603210\pi\) |
0.661602 | + | 0.749855i | \(0.269877\pi\) | |||||||
\(402\) | −96.2400 | − | 32.5920i | −0.239403 | − | 0.0810746i | ||||
\(403\) | −103.570 | + | 27.7516i | −0.256998 | + | 0.0688625i | ||||
\(404\) | 33.1973 | − | 19.1665i | 0.0821715 | − | 0.0474418i | ||||
\(405\) | −233.730 | − | 330.749i | −0.577112 | − | 0.816665i | ||||
\(406\) | 59.7825 | + | 7.08409i | 0.147248 | + | 0.0174485i | ||||
\(407\) | −99.4957 | − | 99.4957i | −0.244461 | − | 0.244461i | ||||
\(408\) | 141.910 | + | 161.583i | 0.347818 | + | 0.396036i | ||||
\(409\) | −357.161 | + | 618.622i | −0.873255 | + | 1.51252i | −0.0146451 | + | 0.999893i | \(0.504662\pi\) |
−0.858610 | + | 0.512629i | \(0.828671\pi\) | |||||||
\(410\) | −34.6616 | − | 389.679i | −0.0845405 | − | 0.950437i | ||||
\(411\) | 165.699 | + | 10.7410i | 0.403160 | + | 0.0261337i | ||||
\(412\) | −171.774 | − | 171.774i | −0.416928 | − | 0.416928i | ||||
\(413\) | 265.897 | − | 666.210i | 0.643819 | − | 1.61310i | ||||
\(414\) | −403.602 | + | 167.857i | −0.974885 | + | 0.405452i | ||||
\(415\) | 339.769 | + | 157.838i | 0.818721 | + | 0.380333i | ||||
\(416\) | −36.3461 | + | 62.9532i | −0.0873704 | + | 0.151330i | ||||
\(417\) | −7.57651 | − | 2.56581i | −0.0181691 | − | 0.00615302i | ||||
\(418\) | 274.236 | + | 73.4814i | 0.656068 | + | 0.175793i | ||||
\(419\) | 107.181i | 0.255801i | 0.991787 | + | 0.127901i | \(0.0408239\pi\) | ||||
−0.991787 | + | 0.127901i | \(0.959176\pi\) | |||||||
\(420\) | −73.1442 | + | 196.850i | −0.174153 | + | 0.468690i | ||||
\(421\) | 600.952 | 1.42744 | 0.713719 | − | 0.700432i | \(-0.247009\pi\) | ||||
0.713719 | + | 0.700432i | \(0.247009\pi\) | |||||||
\(422\) | −117.089 | + | 436.983i | −0.277462 | + | 1.03550i | ||||
\(423\) | −423.272 | − | 549.981i | −1.00064 | − | 1.30019i | ||||
\(424\) | 1.81831 | + | 1.04980i | 0.00428846 | + | 0.00247595i | ||||
\(425\) | 520.069 | + | 361.914i | 1.22369 | + | 0.851563i | ||||
\(426\) | −92.8321 | − | 61.9320i | −0.217916 | − | 0.145380i | ||||
\(427\) | 464.023 | + | 588.777i | 1.08670 | + | 1.37887i | ||||
\(428\) | −55.3997 | + | 55.3997i | −0.129438 | + | 0.129438i | ||||
\(429\) | 368.018 | + | 23.8557i | 0.857852 | + | 0.0556078i | ||||
\(430\) | −367.647 | + | 439.436i | −0.854993 | + | 1.02194i | ||||
\(431\) | 16.2301 | + | 9.37047i | 0.0376569 | + | 0.0217412i | 0.518710 | − | 0.854950i | \(-0.326412\pi\) |
−0.481053 | + | 0.876691i | \(0.659746\pi\) | |||||||
\(432\) | 47.5583 | − | 96.9650i | 0.110089 | − | 0.224456i | ||||
\(433\) | 54.7566 | − | 54.7566i | 0.126459 | − | 0.126459i | −0.641045 | − | 0.767503i | \(-0.721499\pi\) |
0.767503 | + | 0.641045i | \(0.221499\pi\) | |||||||
\(434\) | −66.1786 | − | 49.4321i | −0.152485 | − | 0.113899i | ||||
\(435\) | −91.1917 | + | 2.18756i | −0.209636 | + | 0.00502887i | ||||
\(436\) | −29.4805 | − | 51.0617i | −0.0676158 | − | 0.117114i | ||||
\(437\) | −186.533 | − | 696.150i | −0.426849 | − | 1.59302i | ||||
\(438\) | 31.4423 | + | 10.6480i | 0.0717861 | + | 0.0243106i | ||||
\(439\) | −32.3014 | − | 55.9477i | −0.0735795 | − | 0.127443i | 0.826888 | − | 0.562366i | \(-0.190109\pi\) |
−0.900468 | + | 0.434923i | \(0.856776\pi\) | |||||||
\(440\) | 110.709 | − | 77.7589i | 0.251612 | − | 0.176725i | ||||
\(441\) | −411.892 | − | 157.562i | −0.933996 | − | 0.357284i | ||||
\(442\) | −325.679 | + | 325.679i | −0.736831 | + | 0.736831i | ||||
\(443\) | −300.331 | − | 80.4734i | −0.677948 | − | 0.181656i | −0.0966154 | − | 0.995322i | \(-0.530802\pi\) |
−0.581332 | + | 0.813666i | \(0.697468\pi\) | |||||||
\(444\) | −39.0897 | − | 79.1227i | −0.0880398 | − | 0.178204i | ||||
\(445\) | −89.8946 | + | 107.448i | −0.202010 | + | 0.241456i | ||||
\(446\) | 72.0790 | + | 124.845i | 0.161612 | + | 0.279921i | ||||
\(447\) | 40.7172 | + | 203.934i | 0.0910899 | + | 0.456227i | ||||
\(448\) | −55.4216 | + | 8.02794i | −0.123709 | + | 0.0179195i | ||||
\(449\) | 497.661 | 1.10838 | 0.554188 | − | 0.832392i | \(-0.313029\pi\) | ||||
0.554188 | + | 0.832392i | \(0.313029\pi\) | |||||||
\(450\) | 67.5234 | − | 310.951i | 0.150052 | − | 0.691002i | ||||
\(451\) | −458.364 | − | 264.637i | −1.01633 | − | 0.586778i | ||||
\(452\) | 50.2965 | − | 13.4769i | 0.111275 | − | 0.0298162i | ||||
\(453\) | 322.691 | − | 283.403i | 0.712342 | − | 0.625613i | ||||
\(454\) | −434.592 | −0.957251 | ||||||||
\(455\) | −430.847 | − | 129.054i | −0.946915 | − | 0.283636i | ||||
\(456\) | 148.129 | + | 98.8229i | 0.324845 | + | 0.216717i | ||||
\(457\) | 661.564 | + | 177.266i | 1.44762 | + | 0.387890i | 0.895197 | − | 0.445671i | \(-0.147035\pi\) |
0.552428 | + | 0.833561i | \(0.313702\pi\) | |||||||
\(458\) | −499.245 | + | 133.772i | −1.09005 | + | 0.292079i | ||||
\(459\) | 450.075 | − | 515.449i | 0.980556 | − | 1.12298i | ||||
\(460\) | −311.464 | − | 144.689i | −0.677096 | − | 0.314542i | ||||
\(461\) | 319.049 | 0.692081 | 0.346040 | − | 0.938220i | \(-0.387526\pi\) | ||||
0.346040 | + | 0.938220i | \(0.387526\pi\) | |||||||
\(462\) | 161.055 | + | 234.046i | 0.348605 | + | 0.506593i | ||||
\(463\) | 325.970 | + | 325.970i | 0.704039 | + | 0.704039i | 0.965275 | − | 0.261236i | \(-0.0841302\pi\) |
−0.261236 | + | 0.965275i | \(0.584130\pi\) | |||||||
\(464\) | −12.1624 | − | 21.0659i | −0.0262120 | − | 0.0454006i | ||||
\(465\) | 109.863 | + | 59.9633i | 0.236264 | + | 0.128953i | ||||
\(466\) | −143.254 | + | 248.124i | −0.307413 | + | 0.532454i | ||||
\(467\) | 570.058 | + | 152.747i | 1.22068 | + | 0.327080i | 0.810944 | − | 0.585123i | \(-0.198954\pi\) |
0.409737 | + | 0.912204i | \(0.365621\pi\) | |||||||
\(468\) | 213.825 | + | 88.2095i | 0.456891 | + | 0.188482i | ||||
\(469\) | 154.041 | − | 66.1561i | 0.328446 | − | 0.141058i | ||||
\(470\) | 93.9051 | − | 537.112i | 0.199798 | − | 1.14279i | ||||
\(471\) | −322.100 | − | 20.8792i | −0.683864 | − | 0.0443295i | ||||
\(472\) | −279.962 | + | 75.0156i | −0.593140 | + | 0.158931i | ||||
\(473\) | 200.619 | + | 748.720i | 0.424142 | + | 1.58292i | ||||
\(474\) | 10.9612 | − | 169.096i | 0.0231248 | − | 0.356743i | ||||
\(475\) | 493.516 | + | 178.007i | 1.03898 | + | 0.374752i | ||||
\(476\) | −352.353 | − | 41.7530i | −0.740237 | − | 0.0877164i | ||||
\(477\) | 2.54780 | − | 6.17600i | 0.00534129 | − | 0.0129476i | ||||
\(478\) | −87.7135 | + | 327.351i | −0.183501 | + | 0.684835i | ||||
\(479\) | −188.062 | − | 108.578i | −0.392614 | − | 0.226676i | 0.290678 | − | 0.956821i | \(-0.406119\pi\) |
−0.683292 | + | 0.730145i | \(0.739452\pi\) | |||||||
\(480\) | 81.4113 | − | 23.9208i | 0.169607 | − | 0.0498350i | ||||
\(481\) | 163.688 | − | 94.5051i | 0.340307 | − | 0.196476i | ||||
\(482\) | −173.965 | + | 173.965i | −0.360923 | + | 0.360923i | ||||
\(483\) | 310.109 | − | 651.129i | 0.642048 | − | 1.34809i | ||||
\(484\) | 58.9697i | 0.121838i | ||||||||
\(485\) | 124.621 | + | 57.8920i | 0.256950 | + | 0.119365i | ||||
\(486\) | −325.811 | − | 109.295i | −0.670393 | − | 0.224886i | ||||
\(487\) | −174.484 | − | 651.185i | −0.358284 | − | 1.33713i | −0.876301 | − | 0.481764i | \(-0.839996\pi\) |
0.518017 | − | 0.855370i | \(-0.326670\pi\) | |||||||
\(488\) | 78.3975 | − | 292.583i | 0.160651 | − | 0.599556i | ||||
\(489\) | 136.068 | − | 203.957i | 0.278257 | − | 0.417089i | ||||
\(490\) | −127.364 | − | 322.224i | −0.259927 | − | 0.657600i | ||||
\(491\) | − | 760.336i | − | 1.54855i | −0.632852 | − | 0.774273i | \(-0.718116\pi\) | ||
0.632852 | − | 0.774273i | \(-0.281884\pi\) | |||||||
\(492\) | −219.055 | − | 249.423i | −0.445234 | − | 0.506957i | ||||
\(493\) | −39.8899 | − | 148.871i | −0.0809125 | − | 0.301970i | ||||
\(494\) | −190.685 | + | 330.277i | −0.386002 | + | 0.668576i | ||||
\(495\) | −291.747 | − | 316.547i | −0.589387 | − | 0.639489i | ||||
\(496\) | 33.3764i | 0.0672911i | ||||||||
\(497\) | 182.220 | − | 26.3950i | 0.366640 | − | 0.0531086i | ||||
\(498\) | 311.741 | − | 62.2419i | 0.625985 | − | 0.124984i | ||||
\(499\) | 131.634 | − | 75.9987i | 0.263795 | − | 0.152302i | −0.362270 | − | 0.932073i | \(-0.617998\pi\) |
0.626064 | + | 0.779771i | \(0.284665\pi\) | |||||||
\(500\) | 215.961 | − | 125.940i | 0.431922 | − | 0.251880i | ||||
\(501\) | −104.795 | + | 51.7726i | −0.209171 | + | 0.103338i | ||||
\(502\) | −5.84729 | + | 21.8224i | −0.0116480 | + | 0.0434709i | ||||
\(503\) | 151.056 | + | 151.056i | 0.300310 | + | 0.300310i | 0.841135 | − | 0.540825i | \(-0.181888\pi\) |
−0.540825 | + | 0.841135i | \(0.681888\pi\) | |||||||
\(504\) | 48.5909 | + | 171.438i | 0.0964105 | + | 0.340154i | ||||
\(505\) | 16.5043 | − | 94.4004i | 0.0326819 | − | 0.186932i | ||||
\(506\) | −402.376 | + | 232.312i | −0.795209 | + | 0.459114i | ||||
\(507\) | 3.72440 | − | 10.9977i | 0.00734596 | − | 0.0216917i | ||||
\(508\) | −69.2826 | + | 18.5642i | −0.136383 | + | 0.0365437i | ||||
\(509\) | 158.311 | − | 91.4010i | 0.311024 | − | 0.179570i | −0.336361 | − | 0.941733i | \(-0.609196\pi\) |
0.647385 | + | 0.762163i | \(0.275863\pi\) | |||||||
\(510\) | 537.476 | − | 12.8933i | 1.05387 | − | 0.0252809i | ||||
\(511\) | −50.3263 | + | 21.6137i | −0.0984860 | + | 0.0422968i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 249.509 | − | 508.715i | 0.486372 | − | 0.991647i | ||||
\(514\) | 83.9885 | − | 145.472i | 0.163402 | − | 0.283020i | ||||
\(515\) | −604.926 | + | 53.8076i | −1.17461 | + | 0.104481i | ||||
\(516\) | −31.4480 | + | 485.143i | −0.0609458 | + | 0.940200i | ||||
\(517\) | −521.615 | − | 521.615i | −1.00893 | − | 1.00893i | ||||
\(518\) | 135.235 | + | 53.9749i | 0.261071 | + | 0.104199i | ||||
\(519\) | 274.626 | − | 411.647i | 0.529145 | − | 0.793155i | ||||
\(520\) | 62.4028 | + | 170.680i | 0.120005 | + | 0.328232i | ||||
\(521\) | 175.787 | − | 304.471i | 0.337402 | − | 0.584398i | −0.646541 | − | 0.762879i | \(-0.723785\pi\) |
0.983943 | + | 0.178481i | \(0.0571184\pi\) | |||||||
\(522\) | −61.3386 | + | 47.2069i | −0.117507 | + | 0.0904347i | ||||
\(523\) | −576.429 | − | 154.454i | −1.10216 | − | 0.295322i | −0.338515 | − | 0.940961i | \(-0.609925\pi\) |
−0.763643 | + | 0.645639i | \(0.776591\pi\) | |||||||
\(524\) | 17.5150i | 0.0334255i | ||||||||
\(525\) | 260.110 | + | 456.035i | 0.495448 | + | 0.868638i | ||||
\(526\) | 1.16977 | 0.00222389 | ||||||||
\(527\) | −54.7335 | + | 204.268i | −0.103859 | + | 0.387606i | ||||
\(528\) | 36.8220 | − | 108.731i | 0.0697386 | − | 0.205929i | ||||
\(529\) | 563.306 | + | 325.225i | 1.06485 | + | 0.614792i | ||||
\(530\) | 4.92984 | − | 1.80241i | 0.00930159 | − | 0.00340077i | ||||
\(531\) | 354.157 | + | 851.548i | 0.666962 | + | 1.60367i | ||||
\(532\) | −290.763 | + | 42.1176i | −0.546546 | + | 0.0791684i | ||||
\(533\) | 502.726 | − | 502.726i | 0.943200 | − | 0.943200i | ||||
\(534\) | −7.68947 | + | 118.624i | −0.0143997 | + | 0.222142i | ||||
\(535\) | 17.3537 | + | 195.097i | 0.0324368 | + | 0.364667i | ||||
\(536\) | −58.6640 | − | 33.8696i | −0.109448 | − | 0.0631896i | ||||
\(537\) | −188.654 | + | 165.685i | −0.351312 | + | 0.308539i | ||||
\(538\) | 139.730 | − | 139.730i | 0.259720 | − | 0.259720i | ||||
\(539\) | −455.769 | − | 109.554i | −0.845583 | − | 0.203253i | ||||
\(540\) | −109.632 | − | 246.741i | −0.203021 | − | 0.456927i | ||||
\(541\) | −96.8750 | − | 167.792i | −0.179067 | − | 0.310152i | 0.762494 | − | 0.646995i | \(-0.223974\pi\) |
−0.941561 | + | 0.336842i | \(0.890641\pi\) | |||||||
\(542\) | −150.041 | − | 559.960i | −0.276828 | − | 1.03314i | ||||
\(543\) | −52.9112 | + | 156.240i | −0.0974423 | + | 0.287735i | ||||
\(544\) | 71.6840 | + | 124.160i | 0.131772 | + | 0.228236i | ||||
\(545\) | −145.200 | − | 25.3858i | −0.266422 | − | 0.0465795i | ||||
\(546\) | −359.670 | + | 127.601i | −0.658736 | + | 0.233701i | ||||
\(547\) | −570.554 | + | 570.554i | −1.04306 | + | 1.04306i | −0.0440307 | + | 0.999030i | \(0.514020\pi\) |
−0.999030 | + | 0.0440307i | \(0.985980\pi\) | |||||||
\(548\) | 106.926 | + | 28.6507i | 0.195120 | + | 0.0522823i | ||||
\(549\) | −955.771 | − | 124.433i | −1.74093 | − | 0.226654i | ||||
\(550\) | 28.5014 | − | 337.019i | 0.0518207 | − | 0.612761i | ||||
\(551\) | −63.8085 | − | 110.520i | −0.115805 | − | 0.200580i | ||||
\(552\) | −285.771 | + | 57.0567i | −0.517701 | + | 0.103364i | ||||
\(553\) | 173.056 | + | 219.583i | 0.312940 | + | 0.397075i | ||||
\(554\) | 560.450 | 1.01164 | ||||||||
\(555\) | −214.420 | − | 51.9760i | −0.386343 | − | 0.0936504i | ||||
\(556\) | −4.61833 | − | 2.66639i | −0.00830635 | − | 0.00479567i | ||||
\(557\) | −943.021 | + | 252.682i | −1.69304 | + | 0.453648i | −0.971171 | − | 0.238385i | \(-0.923382\pi\) |
−0.721866 | + | 0.692033i | \(0.756715\pi\) | |||||||
\(558\) | 105.274 | − | 14.0135i | 0.188664 | − | 0.0251138i | ||||
\(559\) | −1041.22 | −1.86264 | ||||||||
\(560\) | −73.5138 | + | 119.146i | −0.131275 | + | 0.212760i | ||||
\(561\) | 403.661 | − | 605.062i | 0.719539 | − | 1.07854i | ||||
\(562\) | −454.940 | − | 121.901i | −0.809501 | − | 0.216905i | ||||
\(563\) | −357.565 | + | 95.8093i | −0.635107 | + | 0.170176i | −0.561986 | − | 0.827147i | \(-0.689963\pi\) |
−0.0731209 | + | 0.997323i | \(0.523296\pi\) | |||||||
\(564\) | −204.931 | − | 414.807i | −0.363353 | − | 0.735474i | ||||
\(565\) | 54.8441 | − | 118.060i | 0.0970693 | − | 0.208956i | ||||
\(566\) | −16.4833 | −0.0291224 | ||||||||
\(567\) | 520.340 | − | 225.244i | 0.917708 | − | 0.397255i | ||||
\(568\) | −52.6062 | − | 52.6062i | −0.0926166 | − | 0.0926166i | ||||
\(569\) | 193.008 | + | 334.300i | 0.339206 | + | 0.587522i | 0.984284 | − | 0.176595i | \(-0.0565083\pi\) |
−0.645078 | + | 0.764117i | \(0.723175\pi\) | |||||||
\(570\) | 427.114 | − | 125.497i | 0.749323 | − | 0.220171i | ||||
\(571\) | −428.573 | + | 742.309i | −0.750565 | + | 1.30002i | 0.196984 | + | 0.980407i | \(0.436885\pi\) |
−0.947549 | + | 0.319610i | \(0.896448\pi\) | |||||||
\(572\) | 237.483 | + | 63.6334i | 0.415180 | + | 0.111247i | ||||
\(573\) | −623.951 | + | 124.578i | −1.08892 | + | 0.217413i | ||||
\(574\) | 543.900 | + | 64.4509i | 0.947560 | + | 0.112284i | ||||
\(575\) | −777.081 | + | 365.104i | −1.35145 | + | 0.634964i | ||||
\(576\) | 43.7487 | − | 57.1843i | 0.0759526 | − | 0.0992784i | ||||
\(577\) | 760.902 | − | 203.883i | 1.31872 | − | 0.353350i | 0.470222 | − | 0.882548i | \(-0.344174\pi\) |
0.848498 | + | 0.529198i | \(0.177507\pi\) | |||||||
\(578\) | 129.326 | + | 482.651i | 0.223747 | + | 0.835037i | ||||
\(579\) | 230.073 | + | 14.9138i | 0.397362 | + | 0.0257579i | ||||
\(580\) | −59.9033 | − | 10.4731i | −0.103282 | − | 0.0180571i | ||||
\(581\) | −313.878 | + | 420.212i | −0.540237 | + | 0.723257i | ||||
\(582\) | 114.341 | − | 22.8292i | 0.196462 | − | 0.0392254i | ||||
\(583\) | 1.83795 | − | 6.85934i | 0.00315258 | − | 0.0117656i | ||||
\(584\) | 19.1659 | + | 11.0655i | 0.0328184 | + | 0.0189477i | ||||
\(585\) | 512.152 | − | 268.491i | 0.875474 | − | 0.458959i | ||||
\(586\) | 314.338 | − | 181.483i | 0.536412 | − | 0.309698i | ||||
\(587\) | 333.048 | − | 333.048i | 0.567373 | − | 0.567373i | −0.364019 | − | 0.931392i | \(-0.618596\pi\) |
0.931392 | + | 0.364019i | \(0.118596\pi\) | |||||||
\(588\) | −248.713 | − | 156.773i | −0.422982 | − | 0.266620i | ||||
\(589\) | 175.105i | 0.297292i | ||||||||
\(590\) | −305.275 | + | 657.149i | −0.517415 | + | 1.11381i | ||||
\(591\) | −309.098 | − | 625.655i | −0.523008 | − | 1.05864i | ||||
\(592\) | −15.2275 | − | 56.8299i | −0.0257222 | − | 0.0959964i | ||||
\(593\) | 178.270 | − | 665.312i | 0.300624 | − | 1.12194i | −0.636024 | − | 0.771669i | \(-0.719422\pi\) |
0.936648 | − | 0.350273i | \(-0.113911\pi\) | |||||||
\(594\) | −358.413 | − | 70.4903i | −0.603390 | − | 0.118671i | ||||
\(595\) | −645.300 | + | 608.635i | −1.08454 | + | 1.02292i | ||||
\(596\) | 138.639i | 0.232616i | ||||||||
\(597\) | −553.933 | + | 486.490i | −0.927860 | + | 0.814892i | ||||
\(598\) | −161.534 | − | 602.852i | −0.270123 | − | 1.00811i | ||||
\(599\) | −58.2807 | + | 100.945i | −0.0972967 | + | 0.168523i | −0.910565 | − | 0.413366i | \(-0.864353\pi\) |
0.813268 | + | 0.581889i | \(0.197686\pi\) | |||||||
\(600\) | 84.7327 | − | 194.475i | 0.141221 | − | 0.324124i | ||||
\(601\) | 381.747i | 0.635187i | 0.948227 | + | 0.317594i | \(0.102875\pi\) | ||||
−0.948227 | + | 0.317594i | \(0.897125\pi\) | |||||||
\(602\) | −496.504 | − | 629.991i | −0.824758 | − | 1.04650i | ||||
\(603\) | −82.1994 | + | 199.256i | −0.136317 | + | 0.330441i | ||||
\(604\) | 247.956 | − | 143.158i | 0.410523 | − | 0.237016i | ||||
\(605\) | 113.071 | + | 94.5988i | 0.186894 | + | 0.156362i | ||||
\(606\) | −36.0177 | − | 72.9046i | −0.0594352 | − | 0.120305i | ||||
\(607\) | 284.347 | − | 1061.20i | 0.468446 | − | 1.74827i | −0.176757 | − | 0.984254i | \(-0.556561\pi\) |
0.645204 | − | 0.764011i | \(-0.276773\pi\) | |||||||
\(608\) | 83.9421 | + | 83.9421i | 0.138063 | + | 0.138063i | ||||
\(609\) | 23.1995 | − | 125.580i | 0.0380945 | − | 0.206207i | ||||
\(610\) | −435.246 | − | 619.682i | −0.713518 | − | 1.01587i | ||||
\(611\) | 858.146 | − | 495.451i | 1.40449 | − | 0.810885i | ||||
\(612\) | 361.524 | − | 278.233i | 0.590726 | − | 0.454629i | ||||
\(613\) | −410.152 | + | 109.900i | −0.669090 | + | 0.179282i | −0.577345 | − | 0.816500i | \(-0.695911\pi\) |
−0.0917453 | + | 0.995783i | \(0.529245\pi\) | |||||||
\(614\) | −690.748 | + | 398.803i | −1.12500 | + | 0.649517i | ||||
\(615\) | −829.660 | + | 19.9023i | −1.34904 | + | 0.0323615i | ||||
\(616\) | 74.7421 | + | 174.033i | 0.121335 | + | 0.282521i | ||||
\(617\) | −262.126 | − | 262.126i | −0.424839 | − | 0.424839i | 0.462027 | − | 0.886866i | \(-0.347122\pi\) |
−0.886866 | + | 0.462027i | \(0.847122\pi\) | |||||||
\(618\) | −387.197 | + | 340.055i | −0.626532 | + | 0.550250i | ||||
\(619\) | 77.9948 | − | 135.091i | 0.126001 | − | 0.218241i | −0.796123 | − | 0.605135i | \(-0.793119\pi\) |
0.922124 | + | 0.386895i | \(0.126452\pi\) | |||||||
\(620\) | 63.9971 | + | 53.5421i | 0.103221 | + | 0.0863583i | ||||
\(621\) | 299.951 | + | 877.410i | 0.483012 | + | 1.41290i | ||||
\(622\) | 113.545 | + | 113.545i | 0.182548 | + | 0.182548i | ||||
\(623\) | −121.402 | − | 154.041i | −0.194867 | − | 0.247257i | ||||
\(624\) | 128.277 | + | 85.5787i | 0.205572 | + | 0.137145i | ||||
\(625\) | 104.961 | − | 616.124i | 0.167937 | − | 0.985798i | ||||
\(626\) | −235.162 | + | 407.312i | −0.375658 | + | 0.650658i | ||||
\(627\) | 193.182 | − | 570.441i | 0.308105 | − | 0.909795i | ||||
\(628\) | −207.852 | − | 55.6937i | −0.330974 | − | 0.0886843i | ||||
\(629\) | − | 372.778i | − | 0.592652i | ||||||
\(630\) | 406.670 | + | 181.849i | 0.645509 | + | 0.288650i | ||||
\(631\) | −1109.60 | −1.75848 | −0.879242 | − | 0.476376i | \(-0.841950\pi\) | ||||
−0.879242 | + | 0.476376i | \(0.841950\pi\) | |||||||
\(632\) | 29.2381 | − | 109.118i | 0.0462628 | − | 0.172655i | ||||
\(633\) | 908.972 | + | 307.826i | 1.43597 | + | 0.486298i | ||||
\(634\) | 604.160 | + | 348.812i | 0.952933 | + | 0.550176i | ||||
\(635\) | −75.5469 | + | 162.626i | −0.118971 | + | 0.256103i | ||||
\(636\) | 2.47181 | − | 3.70508i | 0.00388649 | − | 0.00582560i | ||||
\(637\) | 300.602 | − | 553.276i | 0.471903 | − | 0.868565i | ||||
\(638\) | −58.1749 | + | 58.1749i | −0.0911832 | + | 0.0911832i | ||||
\(639\) | −143.841 | + | 188.016i | −0.225103 | + | 0.294234i | ||||
\(640\) | 56.3461 | − | 5.01193i | 0.0880407 | − | 0.00783114i | ||||
\(641\) | 650.960 | + | 375.832i | 1.01554 | + | 0.586322i | 0.912809 | − | 0.408388i | \(-0.133909\pi\) |
0.102730 | + | 0.994709i | \(0.467242\pi\) | |||||||
\(642\) | 109.672 | + | 124.876i | 0.170829 | + | 0.194511i | ||||
\(643\) | 854.052 | − | 854.052i | 1.32823 | − | 1.32823i | 0.421316 | − | 0.906914i | \(-0.361568\pi\) |
0.906914 | − | 0.421316i | \(-0.138432\pi\) | |||||||
\(644\) | 287.730 | − | 385.206i | 0.446785 | − | 0.598146i | ||||
\(645\) | 879.784 | + | 838.563i | 1.36401 | + | 1.30010i | ||||
\(646\) | 376.082 | + | 651.392i | 0.582170 | + | 1.00835i | ||||
\(647\) | −44.1828 | − | 164.893i | −0.0682888 | − | 0.254857i | 0.923339 | − | 0.383986i | \(-0.125449\pi\) |
−0.991628 | + | 0.129128i | \(0.958782\pi\) | |||||||
\(648\) | −198.737 | − | 113.981i | −0.306693 | − | 0.175896i | ||||
\(649\) | 490.147 | + | 848.960i | 0.755235 | + | 1.30810i | ||||
\(650\) | 427.375 | + | 154.151i | 0.657500 | + | 0.237155i | ||||
\(651\) | −113.723 | + | 133.309i | −0.174689 | + | 0.204776i | ||||
\(652\) | 115.578 | − | 115.578i | 0.177267 | − | 0.177267i | ||||
\(653\) | −129.201 | − | 34.6194i | −0.197858 | − | 0.0530159i | 0.158529 | − | 0.987354i | \(-0.449325\pi\) |
−0.356387 | + | 0.934338i | \(0.615992\pi\) | |||||||
\(654\) | −112.137 | + | 55.3999i | −0.171463 | + | 0.0847093i | ||||
\(655\) | 33.5839 | + | 28.0974i | 0.0512731 | + | 0.0428968i | ||||
\(656\) | −110.653 | − | 191.657i | −0.168679 | − | 0.292160i | ||||
\(657\) | 26.8551 | − | 65.0984i | 0.0408754 | − | 0.0990843i | ||||
\(658\) | 708.980 | + | 282.968i | 1.07748 | + | 0.430042i | ||||
\(659\) | 88.9446 | 0.134969 | 0.0674845 | − | 0.997720i | \(-0.478503\pi\) | ||||
0.0674845 | + | 0.997720i | \(0.478503\pi\) | |||||||
\(660\) | −149.414 | − | 245.028i | −0.226386 | − | 0.371255i | ||||
\(661\) | −628.264 | − | 362.728i | −0.950474 | − | 0.548757i | −0.0572462 | − | 0.998360i | \(-0.518232\pi\) |
−0.893228 | + | 0.449603i | \(0.851565\pi\) | |||||||
\(662\) | 762.540 | − | 204.322i | 1.15187 | − | 0.308643i | ||||
\(663\) | 644.733 | + | 734.113i | 0.972448 | + | 1.10726i | ||||
\(664\) | 211.929 | 0.319170 | ||||||||
\(665\) | −385.681 | + | 625.084i | −0.579972 | + | 0.939976i | ||||
\(666\) | −172.857 | + | 71.8908i | −0.259545 | + | 0.107944i | ||||
\(667\) | 201.731 | + | 54.0536i | 0.302445 | + | 0.0810399i | ||||
\(668\) | −75.2687 | + | 20.1682i | −0.112678 | + | 0.0301919i | ||||
\(669\) | 274.171 | − | 135.451i | 0.409823 | − | 0.202468i | ||||
\(670\) | −159.051 | + | 58.1510i | −0.237390 | + | 0.0867926i | ||||
\(671\) | −1024.49 | −1.52681 | ||||||||
\(672\) | 9.38919 | + | 118.422i | 0.0139720 | + | 0.176224i | ||||
\(673\) | 656.032 | + | 656.032i | 0.974787 | + | 0.974787i | 0.999690 | − | 0.0249030i | \(-0.00792768\pi\) |
−0.0249030 | + | 0.999690i | \(0.507928\pi\) | |||||||
\(674\) | 123.082 | + | 213.184i | 0.182614 | + | 0.316296i | ||||
\(675\) | −648.980 | − | 185.608i | −0.961452 | − | 0.274974i | ||||
\(676\) | 3.87040 | − | 6.70373i | 0.00572545 | − | 0.00991677i | ||||
\(677\) | 1188.28 | + | 318.399i | 1.75522 | + | 0.470309i | 0.985727 | − | 0.168350i | \(-0.0538437\pi\) |
0.769490 | + | 0.638659i | \(0.220510\pi\) | |||||||
\(678\) | −21.6273 | − | 108.321i | −0.0318986 | − | 0.159765i | ||||
\(679\) | −115.124 | + | 154.126i | −0.169550 | + | 0.226990i | ||||
\(680\) | 353.065 | + | 61.7275i | 0.519213 | + | 0.0907757i | ||||
\(681\) | −59.6350 | + | 919.978i | −0.0875697 | + | 1.35092i | ||||
\(682\) | 109.040 | − | 29.2171i | 0.159882 | − | 0.0428403i | ||||
\(683\) | 187.428 | + | 699.493i | 0.274419 | + | 1.02415i | 0.956229 | + | 0.292618i | \(0.0945264\pi\) |
−0.681810 | + | 0.731529i | \(0.738807\pi\) | |||||||
\(684\) | 229.522 | − | 300.011i | 0.335559 | − | 0.438612i | ||||
\(685\) | 226.466 | − | 159.062i | 0.330607 | − | 0.232208i | ||||
\(686\) | 478.103 | − | 81.9493i | 0.696943 | − | 0.119460i | ||||
\(687\) | 214.673 | + | 1075.20i | 0.312479 | + | 1.56506i | ||||
\(688\) | −83.8853 | + | 313.064i | −0.121926 | + | 0.455035i | ||||
\(689\) | 8.26104 | + | 4.76952i | 0.0119899 | + | 0.00692237i | ||||
\(690\) | −349.028 | + | 639.477i | −0.505838 | + | 0.926779i | ||||
\(691\) | −146.238 | + | 84.4306i | −0.211633 | + | 0.122186i | −0.602070 | − | 0.798443i | \(-0.705657\pi\) |
0.390437 | + | 0.920630i | \(0.372324\pi\) | |||||||
\(692\) | 233.273 | − | 233.273i | 0.337100 | − | 0.337100i | ||||
\(693\) | 517.547 | − | 308.819i | 0.746821 | − | 0.445626i | ||||
\(694\) | − | 598.996i | − | 0.863107i | ||||||
\(695\) | −12.5213 | + | 4.57795i | −0.0180163 | + | 0.00658698i | ||||
\(696\) | −46.2628 | + | 22.8556i | −0.0664695 | + | 0.0328385i | ||||
\(697\) | −362.917 | − | 1354.43i | −0.520684 | − | 1.94322i | ||||
\(698\) | 150.781 | − | 562.724i | 0.216019 | − | 0.806195i | ||||
\(699\) | 505.590 | + | 337.299i | 0.723305 | + | 0.482545i | ||||
\(700\) | 110.524 | + | 332.091i | 0.157892 | + | 0.474416i | ||||
\(701\) | 351.512i | 0.501444i | 0.968059 | + | 0.250722i | \(0.0806679\pi\) | ||||
−0.968059 | + | 0.250722i | \(0.919332\pi\) | |||||||
\(702\) | 216.070 | − | 440.537i | 0.307792 | − | 0.627545i | ||||
\(703\) | −79.8893 | − | 298.151i | −0.113641 | − | 0.424112i | ||||
\(704\) | 38.2654 | − | 66.2776i | 0.0543543 | − | 0.0941444i | ||||
\(705\) | −1124.12 | − | 272.488i | −1.59449 | − | 0.386508i | ||||
\(706\) | 152.988i | 0.216696i | ||||||||
\(707\) | 124.607 | + | 49.7331i | 0.176248 | + | 0.0703439i | ||||
\(708\) | 120.382 | + | 602.939i | 0.170031 | + | 0.851608i | ||||
\(709\) | −349.097 | + | 201.551i | −0.492380 | + | 0.284276i | −0.725561 | − | 0.688158i | \(-0.758420\pi\) |
0.233181 | + | 0.972433i | \(0.425086\pi\) | |||||||
\(710\) | −185.260 | + | 16.4787i | −0.260929 | + | 0.0232094i | ||||
\(711\) | −356.451 | − | 46.4069i | −0.501338 | − | 0.0652699i | ||||
\(712\) | −20.5111 | + | 76.5484i | −0.0288077 | + | 0.107512i | ||||
\(713\) | −202.630 | − | 202.630i | −0.284194 | − | 0.284194i | ||||
\(714\) | −136.736 | + | 740.158i | −0.191507 | + | 1.03664i | ||||
\(715\) | 502.982 | − | 353.279i | 0.703471 | − | 0.494096i | ||||
\(716\) | −144.962 | + | 83.6940i | −0.202461 | + | 0.116891i | ||||
\(717\) | 680.926 | + | 230.598i | 0.949688 | + | 0.321615i | ||||
\(718\) | −340.806 | + | 91.3187i | −0.474660 | + | 0.127185i | ||||
\(719\) | 460.328 | − | 265.771i | 0.640234 | − | 0.369639i | −0.144471 | − | 0.989509i | \(-0.546148\pi\) |
0.784705 | + | 0.619870i | \(0.212815\pi\) | |||||||
\(720\) | −39.4661 | − | 175.620i | −0.0548140 | − | 0.243917i | ||||
\(721\) | 100.052 | − | 844.333i | 0.138768 | − | 1.17106i | ||||
\(722\) | 79.3918 | + | 79.3918i | 0.109961 | + | 0.109961i | ||||
\(723\) | 344.391 | + | 392.134i | 0.476336 | + | 0.542370i | ||||
\(724\) | −54.9853 | + | 95.2374i | −0.0759466 | + | 0.131543i | ||||
\(725\) | −116.178 | + | 98.0600i | −0.160245 | + | 0.135255i | ||||
\(726\) | 124.832 | + | 8.09186i | 0.171945 | + | 0.0111458i | ||||
\(727\) | 347.052 | + | 347.052i | 0.477376 | + | 0.477376i | 0.904292 | − | 0.426915i | \(-0.140400\pi\) |
−0.426915 | + | 0.904292i | \(0.640400\pi\) | |||||||
\(728\) | −251.795 | + | 36.4730i | −0.345872 | + | 0.0501003i | ||||
\(729\) | −276.071 | + | 674.704i | −0.378698 | + | 0.925520i | ||||
\(730\) | 51.9632 | − | 18.9984i | 0.0711825 | − | 0.0260252i | ||||
\(731\) | −1026.78 | + | 1778.43i | −1.40462 | + | 2.43288i | ||||
\(732\) | −608.605 | − | 206.106i | −0.831428 | − | 0.281566i | ||||
\(733\) | −437.379 | − | 117.195i | −0.596698 | − | 0.159885i | −0.0521851 | − | 0.998637i | \(-0.516619\pi\) |
−0.544512 | + | 0.838753i | \(0.683285\pi\) | |||||||
\(734\) | − | 761.071i | − | 1.03688i | ||||||
\(735\) | −699.586 | + | 225.399i | −0.951817 | + | 0.306665i | ||||
\(736\) | −194.274 | −0.263959 | ||||||||
\(737\) | −59.2978 | + | 221.302i | −0.0804583 | + | 0.300274i | ||||
\(738\) | −558.057 | + | 429.487i | −0.756175 | + | 0.581961i | ||||
\(739\) | 41.1344 | + | 23.7489i | 0.0556622 | + | 0.0321366i | 0.527573 | − | 0.849510i | \(-0.323102\pi\) |
−0.471911 | + | 0.881646i | \(0.656436\pi\) | |||||||
\(740\) | −133.396 | − | 61.9682i | −0.180264 | − | 0.0837408i | ||||
\(741\) | 672.989 | + | 448.978i | 0.908217 | + | 0.605908i | ||||
\(742\) | 1.05347 | + | 7.27270i | 0.00141977 | + | 0.00980149i | ||||
\(743\) | 437.774 | − | 437.774i | 0.589197 | − | 0.589197i | −0.348217 | − | 0.937414i | \(-0.613213\pi\) |
0.937414 | + | 0.348217i | \(0.113213\pi\) | |||||||
\(744\) | 70.6537 | + | 4.57992i | 0.0949647 | + | 0.00615581i | ||||
\(745\) | 265.832 | + | 222.404i | 0.356821 | + | 0.298529i | ||||
\(746\) | 746.949 | + | 431.251i | 1.00127 | + | 0.578085i | ||||
\(747\) | −88.9812 | − | 668.458i | −0.119118 | − | 0.894856i | ||||
\(748\) | 342.877 | − | 342.877i | 0.458392 | − | 0.458392i | ||||
\(749\) | −272.309 | − | 32.2680i | −0.363564 | − | 0.0430815i | ||||
\(750\) | −236.965 | − | 474.444i | −0.315954 | − | 0.632592i | ||||
\(751\) | 12.4219 | + | 21.5154i | 0.0165405 | + | 0.0286489i | 0.874177 | − | 0.485607i | \(-0.161401\pi\) |
−0.857637 | + | 0.514256i | \(0.828068\pi\) | |||||||
\(752\) | −79.8315 | − | 297.935i | −0.106159 | − | 0.396191i | ||||
\(753\) | 45.3930 | + | 15.3725i | 0.0602828 | + | 0.0204150i | ||||
\(754\) | −55.2569 | − | 95.7077i | −0.0732850 | − | 0.126933i | ||||
\(755\) | 123.274 | − | 705.093i | 0.163276 | − | 0.933898i | ||||
\(756\) | 369.581 | − | 79.3362i | 0.488863 | − | 0.104942i | ||||
\(757\) | −269.796 | + | 269.796i | −0.356401 | + | 0.356401i | −0.862485 | − | 0.506083i | \(-0.831093\pi\) |
0.506083 | + | 0.862485i | \(0.331093\pi\) | |||||||
\(758\) | −162.947 | − | 43.6615i | −0.214970 | − | 0.0576010i | ||||
\(759\) | 436.561 | + | 883.658i | 0.575180 | + | 1.16424i | ||||
\(760\) | 295.613 | − | 26.2945i | 0.388964 | − | 0.0345980i | ||||
\(761\) | −31.0588 | − | 53.7954i | −0.0408131 | − | 0.0706904i | 0.844897 | − | 0.534929i | \(-0.179661\pi\) |
−0.885710 | + | 0.464238i | \(0.846328\pi\) | |||||||
\(762\) | 29.7912 | + | 149.210i | 0.0390960 | + | 0.195814i | ||||
\(763\) | 76.4960 | − | 191.662i | 0.100257 | − | 0.251195i | ||||
\(764\) | −424.177 | −0.555206 | ||||||||
\(765\) | 46.4592 | − | 1139.54i | 0.0607310 | − | 1.48959i | ||||
\(766\) | 827.881 | + | 477.977i | 1.08078 | + | 0.623991i | ||||
\(767\) | −1271.94 | + | 340.815i | −1.65833 | + | 0.444348i | ||||
\(768\) | 36.0656 | − | 31.6745i | 0.0469604 | − | 0.0412429i | ||||
\(769\) | 207.402 | 0.269704 | 0.134852 | − | 0.990866i | \(-0.456944\pi\) | ||||
0.134852 | + | 0.990866i | \(0.456944\pi\) | |||||||
\(770\) | 453.598 | + | 135.869i | 0.589089 | + | 0.176454i | ||||
\(771\) | −296.422 | − | 197.755i | −0.384465 | − | 0.256492i | ||||
\(772\) | 148.466 | + | 39.7815i | 0.192314 | + | 0.0515304i | ||||
\(773\) | 1441.08 | − | 386.137i | 1.86427 | − | 0.499530i | 0.864277 | − | 0.503016i | \(-0.167776\pi\) |
0.999994 | + | 0.00348593i | \(0.00110961\pi\) | |||||||
\(774\) | 1022.67 | + | 133.143i | 1.32128 | + | 0.172020i | ||||
\(775\) | 205.327 | − | 36.8186i | 0.264939 | − | 0.0475079i | ||||
\(776\) | 77.7316 | 0.100170 | ||||||||
\(777\) | 132.815 | − | 278.869i | 0.170933 | − | 0.358905i | ||||
\(778\) | −57.6232 | − | 57.6232i | −0.0740658 | − | 0.0740658i | ||||
\(779\) | −580.528 | − | 1005.50i | −0.745222 | − | 1.29076i | ||||
\(780\) | 369.872 | − | 108.678i | 0.474196 | − | 0.139331i | ||||
\(781\) | −125.812 | + | 217.914i | −0.161092 | + | 0.279019i | ||||
\(782\) | −1188.98 | − | 318.587i | −1.52044 | − | 0.407401i | ||||
\(783\) | 91.5143 | + | 136.324i | 0.116876 | + | 0.174105i | ||||
\(784\) | −142.136 | − | 134.957i | −0.181296 | − | 0.172139i | ||||
\(785\) | −440.224 | + | 309.200i | −0.560794 | + | 0.393885i | ||||
\(786\) | 37.0771 | + | 2.40342i | 0.0471719 | + | 0.00305778i | ||||
\(787\) | 134.196 | − | 35.9576i | 0.170516 | − | 0.0456895i | −0.172551 | − | 0.985001i | \(-0.555201\pi\) |
0.343067 | + | 0.939311i | \(0.388534\pi\) | |||||||
\(788\) | −120.410 | − | 449.377i | −0.152805 | − | 0.570275i | ||||
\(789\) | 0.160516 | − | 2.47626i | 0.000203443 | − | 0.00313847i | ||||
\(790\) | −162.323 | − | 231.108i | −0.205473 | − | 0.292542i | ||||
\(791\) | 146.012 | + | 109.063i | 0.184591 | + | 0.137880i | ||||
\(792\) | −225.116 | − | 92.8676i | −0.284238 | − | 0.117257i | ||||
\(793\) | 356.180 | − | 1329.28i | 0.449155 | − | 1.67627i | ||||
\(794\) | 492.483 | + | 284.335i | 0.620255 | + | 0.358105i | ||||
\(795\) | −3.13901 | − | 10.6832i | −0.00394844 | − | 0.0134380i | ||||
\(796\) | −425.642 | + | 245.745i | −0.534727 | + | 0.308725i | ||||
\(797\) | −944.201 | + | 944.201i | −1.18469 | + | 1.18469i | −0.206180 | + | 0.978514i | \(0.566103\pi\) |
−0.978514 | + | 0.206180i | \(0.933897\pi\) | |||||||
\(798\) | 49.2592 | + | 621.288i | 0.0617283 | + | 0.778557i | ||||
\(799\) | − | 1954.32i | − | 2.44596i | ||||||
\(800\) | 80.7799 | − | 116.080i | 0.100975 | − | 0.145100i | ||||
\(801\) | 250.058 | + | 32.5553i | 0.312182 | + | 0.0406433i | ||||
\(802\) | −58.1342 | − | 216.960i | −0.0724865 | − | 0.270523i | ||||
\(803\) | 19.3730 | − | 72.3011i | 0.0241258 | − | 0.0900387i | ||||
\(804\) | −79.7478 | + | 119.537i | −0.0991888 | + | 0.148678i | ||||
\(805\) | −277.035 | − | 1169.65i | −0.344142 | − | 1.45298i | ||||
\(806\) | 151.638i | 0.188136i | ||||||||
\(807\) | −276.617 | − | 314.964i | −0.342771 | − | 0.390290i | ||||
\(808\) | −14.0308 | − | 52.3638i | −0.0173649 | − | 0.0648066i | ||||
\(809\) | −151.564 | + | 262.517i | −0.187347 | + | 0.324495i | −0.944365 | − | 0.328899i | \(-0.893322\pi\) |
0.757018 | + | 0.653395i | \(0.226656\pi\) | |||||||
\(810\) | −537.363 | + | 198.219i | −0.663412 | + | 0.244714i | ||||
\(811\) | − | 198.137i | − | 0.244312i | −0.992511 | − | 0.122156i | \(-0.961019\pi\) | ||
0.992511 | − | 0.122156i | \(-0.0389808\pi\) | |||||||
\(812\) | 31.5590 | − | 79.0714i | 0.0388657 | − | 0.0973786i | ||||
\(813\) | −1205.96 | + | 240.780i | −1.48334 | + | 0.296163i | ||||
\(814\) | −172.332 | + | 99.4957i | −0.211710 | + | 0.122231i | ||||
\(815\) | −36.2044 | − | 407.024i | −0.0444226 | − | 0.499416i | ||||
\(816\) | 272.669 | − | 134.709i | 0.334153 | − | 0.165085i | ||||
\(817\) | −440.094 | + | 1642.45i | −0.538671 | + | 2.01035i | ||||
\(818\) | 714.323 | + | 714.323i | 0.873255 | + | 0.873255i | ||||
\(819\) | 220.761 | + | 778.886i | 0.269549 | + | 0.951021i | ||||
\(820\) | −544.999 | − | 95.2839i | −0.664633 | − | 0.116200i | ||||
\(821\) | −315.451 | + | 182.126i | −0.384227 | + | 0.221834i | −0.679656 | − | 0.733531i | \(-0.737871\pi\) |
0.295429 | + | 0.955365i | \(0.404538\pi\) | |||||||
\(822\) | 75.3224 | − | 222.417i | 0.0916331 | − | 0.270581i | ||||
\(823\) | −192.132 | + | 51.4817i | −0.233454 | + | 0.0625538i | −0.373649 | − | 0.927570i | \(-0.621894\pi\) |
0.140195 | + | 0.990124i | \(0.455227\pi\) | |||||||
\(824\) | −297.522 | + | 171.774i | −0.361071 | + | 0.208464i | ||||
\(825\) | −709.516 | − | 106.580i | −0.860020 | − | 0.129188i | ||||
\(826\) | −812.734 | − | 607.072i | −0.983940 | − | 0.734954i | ||||
\(827\) | 940.020 | + | 940.020i | 1.13666 | + | 1.13666i | 0.989044 | + | 0.147618i | \(0.0471607\pi\) |
0.147618 | + | 0.989044i | \(0.452839\pi\) | |||||||
\(828\) | 81.5685 | + | 612.771i | 0.0985127 | + | 0.740061i | ||||
\(829\) | −641.345 | + | 1110.84i | −0.773637 | + | 1.33998i | 0.161920 | + | 0.986804i | \(0.448231\pi\) |
−0.935557 | + | 0.353175i | \(0.885102\pi\) | |||||||
\(830\) | 339.975 | − | 406.361i | 0.409608 | − | 0.489591i | ||||
\(831\) | 76.9053 | − | 1186.40i | 0.0925455 | − | 1.42768i | ||||
\(832\) | 72.6921 | + | 72.6921i | 0.0873704 | + | 0.0873704i | ||||
\(833\) | −648.579 | − | 1059.04i | −0.778606 | − | 1.27136i | ||||
\(834\) | −6.27816 | + | 9.41055i | −0.00752777 | + | 0.0112836i | ||||
\(835\) | −82.0742 | + | 176.677i | −0.0982925 | + | 0.211589i | ||||
\(836\) | 200.755 | − | 347.718i | 0.240137 | − | 0.415930i | ||||
\(837\) | −15.2191 | − | 224.776i | −0.0181829 | − | 0.268550i | ||||
\(838\) | 146.412 | + | 39.2309i | 0.174715 | + | 0.0468149i | ||||
\(839\) | 203.920i | 0.243051i | 0.992588 | + | 0.121525i | \(0.0387786\pi\) | ||||
−0.992588 | + | 0.121525i | \(0.961221\pi\) | |||||||
\(840\) | 242.129 | + | 171.969i | 0.288249 | + | 0.204725i | ||||
\(841\) | −804.019 | −0.956027 | ||||||||
\(842\) | 219.964 | − | 820.915i | 0.261239 | − | 0.974959i | ||||
\(843\) | −320.476 | + | 946.325i | −0.380161 | + | 1.12257i | ||||
\(844\) | 554.072 | + | 319.893i | 0.656483 | + | 0.379021i | ||||
\(845\) | −6.64512 | − | 18.1753i | −0.00786405 | − | 0.0215093i | ||||
\(846\) | −906.217 | + | 376.893i | −1.07118 | + | 0.445501i | ||||
\(847\) | −162.102 | + | 127.755i | −0.191384 | + | 0.150832i | ||||
\(848\) | 2.09960 | − | 2.09960i | 0.00247595 | − | 0.00247595i | ||||
\(849\) | −2.26185 | + | 34.8931i | −0.00266413 | + | 0.0410991i | ||||
\(850\) | 684.742 | − | 577.957i | 0.805579 | − | 0.679949i | ||||
\(851\) | 437.465 | + | 252.570i | 0.514060 | + | 0.296793i | ||||
\(852\) | −118.580 | + | 104.142i | −0.139178 | + | 0.122233i | ||||
\(853\) | −568.427 | + | 568.427i | −0.666386 | + | 0.666386i | −0.956877 | − | 0.290492i | \(-0.906181\pi\) |
0.290492 | + | 0.956877i | \(0.406181\pi\) | |||||||
\(854\) | 974.129 | − | 418.360i | 1.14067 | − | 0.489882i | ||||
\(855\) | −207.054 | − | 921.370i | −0.242168 | − | 1.07763i | ||||
\(856\) | 55.3997 | + | 95.9550i | 0.0647192 | + | 0.112097i | ||||
\(857\) | 178.862 | + | 667.524i | 0.208708 | + | 0.778908i | 0.988287 | + | 0.152605i | \(0.0487661\pi\) |
−0.779580 | + | 0.626303i | \(0.784567\pi\) | |||||||
\(858\) | 167.292 | − | 493.991i | 0.194979 | − | 0.575747i | ||||
\(859\) | 185.034 | + | 320.488i | 0.215406 | + | 0.373094i | 0.953398 | − | 0.301715i | \(-0.0975592\pi\) |
−0.737992 | + | 0.674809i | \(0.764226\pi\) | |||||||
\(860\) | 465.713 | + | 663.060i | 0.541526 | + | 0.771000i | ||||
\(861\) | 211.069 | − | 1142.53i | 0.245144 | − | 1.32697i | ||||
\(862\) | 18.7409 | − | 18.7409i | 0.0217412 | − | 0.0217412i | ||||
\(863\) | 929.612 | + | 249.089i | 1.07719 | + | 0.288631i | 0.753443 | − | 0.657514i | \(-0.228392\pi\) |
0.323744 | + | 0.946145i | \(0.395058\pi\) | |||||||
\(864\) | −115.049 | − | 100.458i | −0.133159 | − | 0.116270i | ||||
\(865\) | −73.0717 | − | 821.501i | −0.0844759 | − | 0.949712i | ||||
\(866\) | −54.7566 | − | 94.8413i | −0.0632294 | − | 0.109516i | ||||
\(867\) | 1039.46 | − | 207.538i | 1.19892 | − | 0.239374i | ||||
\(868\) | −91.7486 | + | 72.3083i | −0.105701 | + | 0.0833044i | ||||
\(869\) | −382.080 | −0.439677 | ||||||||
\(870\) | −30.3902 | + | 125.371i | −0.0349313 | + | 0.144104i | ||||
\(871\) | −266.526 | − | 153.879i | −0.305999 | − | 0.176669i | ||||
\(872\) | −80.5422 | + | 21.5812i | −0.0923649 | + | 0.0247491i | ||||
\(873\) | −32.6367 | − | 245.178i | −0.0373845 | − | 0.280845i | ||||
\(874\) | −1019.23 | −1.16617 | ||||||||
\(875\) | 814.066 | + | 320.814i | 0.930361 | + | 0.366645i | ||||
\(876\) | 26.0542 | − | 39.0536i | 0.0297422 | − | 0.0445817i | ||||
\(877\) | −331.849 | − | 88.9187i | −0.378391 | − | 0.101390i | 0.0646102 | − | 0.997911i | \(-0.479420\pi\) |
−0.443001 | + | 0.896521i | \(0.646086\pi\) | |||||||
\(878\) | −88.2491 | + | 23.6463i | −0.100511 | + | 0.0269320i | ||||
\(879\) | −341.044 | − | 690.318i | −0.387990 | − | 0.785344i | ||||
\(880\) | −65.6982 | − | 179.694i | −0.0746570 | − | 0.204197i | ||||
\(881\) | 1230.37 | 1.39656 | 0.698279 | − | 0.715826i | \(-0.253950\pi\) | ||||
0.698279 | + | 0.715826i | \(0.253950\pi\) | |||||||
\(882\) | −365.997 | + | 504.983i | −0.414963 | + | 0.572543i | ||||
\(883\) | 619.531 | + | 619.531i | 0.701621 | + | 0.701621i | 0.964758 | − | 0.263137i | \(-0.0847572\pi\) |
−0.263137 | + | 0.964758i | \(0.584757\pi\) | |||||||
\(884\) | 325.679 | + | 564.093i | 0.368415 | + | 0.638114i | ||||
\(885\) | 1349.21 | + | 736.404i | 1.52454 | + | 0.832095i | ||||
\(886\) | −219.857 | + | 380.804i | −0.248146 | + | 0.429802i | ||||
\(887\) | −939.710 | − | 251.795i | −1.05943 | − | 0.283872i | −0.313284 | − | 0.949660i | \(-0.601429\pi\) |
−0.746141 | + | 0.665787i | \(0.768096\pi\) | |||||||
\(888\) | −122.391 | + | 24.4366i | −0.137828 | + | 0.0275187i | ||||
\(889\) | −201.129 | − | 150.233i | −0.226241 | − | 0.168991i | ||||
\(890\) | 113.873 | + | 162.127i | 0.127947 | + | 0.182165i | ||||
\(891\) | −198.401 | + | 749.045i | −0.222672 | + | 0.840679i | ||||
\(892\) | 196.924 | − | 52.7655i | 0.220766 | − | 0.0591542i | ||||
\(893\) | −418.826 | − | 1563.08i | −0.469011 | − | 1.75037i | ||||
\(894\) | 293.482 | + | 19.0241i | 0.328280 | + | 0.0212798i | ||||
\(895\) | −72.0693 | + | 412.217i | −0.0805244 | + | 0.460578i | ||||
\(896\) | −9.31934 | + | 78.6457i | −0.0104010 | + | 0.0877742i | ||||
\(897\) | −1298.33 | + | 259.224i | −1.44741 | + | 0.288989i | ||||
\(898\) | 182.156 | − | 679.817i | 0.202847 | − | 0.757034i | ||||
\(899\) | −43.9439 | − | 25.3710i | −0.0488809 | − | 0.0282214i | ||||
\(900\) | −400.052 | − | 206.055i | −0.444502 | − | 0.228950i | ||||
\(901\) | 16.2930 | − | 9.40674i | 0.0180832 | − | 0.0104403i | ||||
\(902\) | −529.274 | + | 529.274i | −0.586778 | + | 0.586778i | ||||
\(903\) | −1401.75 | + | 964.591i | −1.55232 | + | 1.06821i | ||||
\(904\) | − | 73.6392i | − | 0.0814593i | ||||||
\(905\) | 94.4047 | + | 258.210i | 0.104315 | + | 0.285315i | ||||
\(906\) | −269.022 | − | 544.537i | −0.296934 | − | 0.601034i | ||||
\(907\) | 230.515 | + | 860.295i | 0.254151 | + | 0.948506i | 0.968561 | + | 0.248778i | \(0.0800288\pi\) |
−0.714409 | + | 0.699728i | \(0.753305\pi\) | |||||||
\(908\) | −159.072 | + | 593.664i | −0.175189 | + | 0.653815i | ||||
\(909\) | −159.273 | + | 66.2411i | −0.175217 | + | 0.0728725i | ||||
\(910\) | −333.992 | + | 541.310i | −0.367024 | + | 0.594846i | ||||
\(911\) | − | 707.160i | − | 0.776246i | −0.921608 | − | 0.388123i | \(-0.873124\pi\) | ||
0.921608 | − | 0.388123i | \(-0.126876\pi\) | |||||||
\(912\) | 189.214 | − | 166.176i | 0.207471 | − | 0.182211i | ||||
\(913\) | −185.519 | − | 692.366i | −0.203197 | − | 0.758342i | ||||
\(914\) | 484.299 | − | 838.830i | 0.529867 | − | 0.917757i | ||||
\(915\) | −1371.52 | + | 836.329i | −1.49892 | + | 0.914021i | ||||
\(916\) | 730.945i | 0.797975i | ||||||||
\(917\) | −48.1471 | + | 37.9453i | −0.0525050 | + | 0.0413799i | ||||
\(918\) | −539.377 | − | 803.481i | −0.587557 | − | 0.875252i | ||||
\(919\) | 728.302 | − | 420.485i | 0.792494 | − | 0.457546i | −0.0483461 | − | 0.998831i | \(-0.515395\pi\) |
0.840840 | + | 0.541284i | \(0.182062\pi\) | |||||||
\(920\) | −311.653 | + | 372.508i | −0.338753 | + | 0.404900i | ||||
\(921\) | 749.433 | + | 1516.95i | 0.813717 | + | 1.64707i | ||||
\(922\) | 116.780 | − | 435.829i | 0.126660 | − | 0.472700i | ||||
\(923\) | −239.004 | − | 239.004i | −0.258942 | − | 0.258942i | ||||
\(924\) | 378.663 | − | 134.339i | 0.409809 | − | 0.145388i | ||||
\(925\) | −332.812 | + | 156.369i | −0.359797 | + | 0.169047i | ||||
\(926\) | 564.596 | − | 325.970i | 0.609715 | − | 0.352019i | ||||
\(927\) | 666.723 | + | 866.310i | 0.719226 | + | 0.934531i | ||||
\(928\) | −33.2283 | + | 8.90349i | −0.0358063 | + | 0.00959427i | ||||
\(929\) | −1523.65 | + | 879.678i | −1.64009 | + | 0.946909i | −0.659296 | + | 0.751883i | \(0.729146\pi\) |
−0.980798 | + | 0.195025i | \(0.937521\pi\) | |||||||
\(930\) | 122.124 | − | 128.127i | 0.131316 | − | 0.137771i | ||||
\(931\) | −745.700 | − | 708.034i | −0.800967 | − | 0.760509i | ||||
\(932\) | 286.508 | + | 286.508i | 0.307413 | + | 0.307413i | ||||
\(933\) | 255.941 | − | 224.780i | 0.274321 | − | 0.240922i | ||||
\(934\) | 417.311 | − | 722.804i | 0.446800 | − | 0.773881i | ||||
\(935\) | −107.405 | − | 1207.49i | −0.114871 | − | 1.29143i | ||||
\(936\) | 198.762 | − | 259.803i | 0.212352 | − | 0.277568i | ||||
\(937\) | 844.184 | + | 844.184i | 0.900943 | + | 0.900943i | 0.995518 | − | 0.0945743i | \(-0.0301490\pi\) |
−0.0945743 | + | 0.995518i | \(0.530149\pi\) | |||||||
\(938\) | −33.9879 | − | 234.639i | −0.0362345 | − | 0.250148i | ||||
\(939\) | 829.960 | + | 553.700i | 0.883877 | + | 0.589670i | ||||
\(940\) | −699.338 | − | 324.874i | −0.743976 | − | 0.345610i | ||||
\(941\) | 12.5060 | − | 21.6611i | 0.0132901 | − | 0.0230192i | −0.859304 | − | 0.511465i | \(-0.829103\pi\) |
0.872594 | + | 0.488446i | \(0.162436\pi\) | |||||||
\(942\) | −146.418 | + | 432.355i | −0.155433 | + | 0.458975i | ||||
\(943\) | 1835.34 | + | 491.779i | 1.94628 | + | 0.521504i | ||||
\(944\) | 409.893i | 0.434208i | ||||||||
\(945\) | 440.756 | − | 835.918i | 0.466409 | − | 0.884569i | ||||
\(946\) | 1096.20 | 1.15878 | ||||||||
\(947\) | 244.618 | − | 912.926i | 0.258308 | − | 0.964019i | −0.707912 | − | 0.706301i | \(-0.750363\pi\) |
0.966220 | − | 0.257718i | \(-0.0829706\pi\) | |||||||
\(948\) | −226.977 | − | 76.8667i | −0.239428 | − | 0.0810830i | ||||
\(949\) | 87.0759 | + | 50.2733i | 0.0917554 | + | 0.0529750i | ||||
\(950\) | 423.802 | − | 609.001i | 0.446107 | − | 0.641053i | ||||
\(951\) | 821.295 | − | 1231.07i | 0.863612 | − | 1.29450i | ||||
\(952\) | −186.006 | + | 466.040i | −0.195384 | + | 0.489538i | ||||
\(953\) | 906.682 | − | 906.682i | 0.951398 | − | 0.951398i | −0.0474745 | − | 0.998872i | \(-0.515117\pi\) |
0.998872 | + | 0.0474745i | \(0.0151173\pi\) | |||||||
\(954\) | −7.50402 | − | 5.74093i | −0.00786585 | − | 0.00601775i | ||||
\(955\) | −680.462 | + | 813.334i | −0.712526 | + | 0.851658i | ||||
\(956\) | 415.065 | + | 239.638i | 0.434168 | + | 0.250667i | ||||
\(957\) | 115.166 | + | 131.132i | 0.120341 | + | 0.137024i | ||||
\(958\) | −217.155 | + | 217.155i | −0.226676 | + | 0.226676i | ||||
\(959\) | 152.891 | + | 356.000i | 0.159428 | + | 0.371220i | ||||
\(960\) | −2.87780 | − | 119.965i | −0.00299771 | − | 0.124964i | ||||
\(961\) | −445.688 | − | 771.954i | −0.463775 | − | 0.803282i | ||||
\(962\) | −69.1826 | − | 258.193i | −0.0719153 | − | 0.268392i | ||||
\(963\) | 279.397 | − | 215.027i | 0.290132 | − | 0.223289i | ||||
\(964\) | 173.965 | + | 301.316i | 0.180461 | + | 0.312568i | ||||
\(965\) | 314.447 | − | 220.858i | 0.325852 | − | 0.228868i | ||||
\(966\) | −775.952 | − | 661.947i | −0.803262 | − | 0.685245i | ||||
\(967\) | 26.8287 | − | 26.8287i | 0.0277443 | − | 0.0277443i | −0.693099 | − | 0.720843i | \(-0.743755\pi\) |
0.720843 | + | 0.693099i | \(0.243755\pi\) | |||||||
\(968\) | 80.5542 | + | 21.5844i | 0.0832171 | + | 0.0222980i | ||||
\(969\) | 1430.52 | − | 706.734i | 1.47629 | − | 0.729344i | ||||
\(970\) | 124.696 | − | 149.045i | 0.128553 | − | 0.153655i | ||||
\(971\) | −793.085 | − | 1373.66i | −0.816772 | − | 1.41469i | −0.908049 | − | 0.418865i | \(-0.862428\pi\) |
0.0912770 | − | 0.995826i | \(-0.470905\pi\) | |||||||
\(972\) | −268.554 | + | 405.061i | −0.276290 | + | 0.416730i | ||||
\(973\) | −2.67570 | − | 18.4720i | −0.00274995 | − | 0.0189845i | ||||
\(974\) | −953.400 | −0.978850 | ||||||||
\(975\) | 384.963 | − | 883.548i | 0.394834 | − | 0.906203i | ||||
\(976\) | −370.981 | − | 214.186i | −0.380103 | − | 0.219453i | ||||
\(977\) | −467.774 | + | 125.340i | −0.478786 | + | 0.128290i | −0.490137 | − | 0.871645i | \(-0.663053\pi\) |
0.0113515 | + | 0.999936i | \(0.496387\pi\) | |||||||
\(978\) | −228.806 | − | 260.525i | −0.233953 | − | 0.266386i | ||||
\(979\) | 268.036 | 0.273786 | ||||||||
\(980\) | −486.785 | + | 56.0406i | −0.496719 | + | 0.0571843i | ||||
\(981\) | 101.887 | + | 244.982i | 0.103861 | + | 0.249727i | ||||
\(982\) | −1038.64 | − | 278.302i | −1.05768 | − | 0.283403i | ||||
\(983\) | 355.562 | − | 95.2725i | 0.361711 | − | 0.0969202i | −0.0733864 | − | 0.997304i | \(-0.523381\pi\) |
0.435097 | + | 0.900383i | \(0.356714\pi\) | |||||||
\(984\) | −420.898 | + | 207.940i | −0.427742 | + | 0.211321i | ||||
\(985\) | −1054.81 | − | 490.008i | −1.07088 | − | 0.497470i | ||||
\(986\) | −217.962 | −0.221057 | ||||||||
\(987\) | 696.295 | − | 1462.00i | 0.705466 | − | 1.48125i | ||||
\(988\) | 381.370 | + | 381.370i | 0.386002 | + | 0.386002i | ||||
\(989\) | −1391.36 | − | 2409.90i | −1.40683 | − | 2.43671i | ||||
\(990\) | −539.198 | + | 282.669i | −0.544644 | + | 0.285524i | ||||
\(991\) | 480.345 | − | 831.982i | 0.484708 | − | 0.839538i | −0.515138 | − | 0.857107i | \(-0.672259\pi\) |
0.999846 | + | 0.0175691i | \(0.00559272\pi\) | |||||||
\(992\) | 45.5930 | + | 12.2166i | 0.0459607 | + | 0.0123151i | ||||
\(993\) | −327.888 | − | 1642.24i | −0.330200 | − | 1.65382i | ||||
\(994\) | 30.6410 | − | 258.578i | 0.0308259 | − | 0.260139i | ||||
\(995\) | −211.612 | + | 1210.36i | −0.212675 | + | 1.21645i | ||||
\(996\) | 29.0810 | − | 448.628i | 0.0291978 | − | 0.450429i | ||||
\(997\) | 756.395 | − | 202.675i | 0.758671 | − | 0.203285i | 0.141310 | − | 0.989965i | \(-0.454868\pi\) |
0.617361 | + | 0.786680i | \(0.288202\pi\) | |||||||
\(998\) | −55.6349 | − | 207.632i | −0.0557464 | − | 0.208048i | ||||
\(999\) | 128.464 | + | 375.782i | 0.128593 | + | 0.376158i |
(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 | 210.3.w.a.143.2 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.b.143.12 | yes | 64 | ||
5.2 | odd | 4 | 210.3.w.b.17.7 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.a.173.5 | yes | 64 | |
15.2 | even | 4 | inner | 210.3.w.a.17.5 | ✓ | 64 | |
21.5 | even | 6 | 210.3.w.b.173.7 | yes | 64 | ||
35.12 | even | 12 | 210.3.w.b.47.12 | yes | 64 | ||
105.47 | odd | 12 | inner | 210.3.w.a.47.2 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.5 | ✓ | 64 | 15.2 | even | 4 | inner | |
210.3.w.a.47.2 | yes | 64 | 105.47 | odd | 12 | inner | |
210.3.w.a.143.2 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.a.173.5 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.17.7 | yes | 64 | 5.2 | odd | 4 | ||
210.3.w.b.47.12 | yes | 64 | 35.12 | even | 12 | ||
210.3.w.b.143.12 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.b.173.7 | yes | 64 | 21.5 | even | 6 |