Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,5,Mod(5,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.5");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.d (of order \(22\), degree \(10\), 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: | \(2.37750915093\) |
Analytic rank: | \(0\) |
Dimension: | \(70\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 10.5 | ||
Character | \(\chi\) | \(=\) | 23.10 |
Dual form | 23.5.d.a.7.5 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24584 | + | 1.43777i | 0.311459 | + | 0.359443i | 0.889799 | − | 0.456353i | \(-0.150845\pi\) |
−0.578340 | + | 0.815796i | \(0.696299\pi\) | |||||||
\(3\) | −13.2108 | − | 8.49010i | −1.46787 | − | 0.943344i | −0.998167 | − | 0.0605204i | \(-0.980724\pi\) |
−0.469705 | − | 0.882824i | \(-0.655640\pi\) | |||||||
\(4\) | 1.76196 | − | 12.2547i | 0.110122 | − | 0.765918i | ||||
\(5\) | −8.32630 | − | 3.80249i | −0.333052 | − | 0.152100i | 0.241869 | − | 0.970309i | \(-0.422240\pi\) |
−0.574920 | + | 0.818209i | \(0.694967\pi\) | |||||||
\(6\) | −4.25173 | − | 29.5714i | −0.118104 | − | 0.821429i | ||||
\(7\) | −1.18231 | + | 4.02657i | −0.0241287 | + | 0.0821749i | −0.970677 | − | 0.240387i | \(-0.922726\pi\) |
0.946548 | + | 0.322562i | \(0.104544\pi\) | |||||||
\(8\) | 45.4215 | − | 29.1907i | 0.709712 | − | 0.456104i | ||||
\(9\) | 68.7961 | + | 150.642i | 0.849335 | + | 1.85978i | ||||
\(10\) | −4.90608 | − | 16.7086i | −0.0490608 | − | 0.167086i | ||||
\(11\) | −138.378 | − | 119.905i | −1.14362 | − | 0.990949i | −0.999999 | − | 0.00131577i | \(-0.999581\pi\) |
−0.143617 | − | 0.989633i | \(-0.545873\pi\) | |||||||
\(12\) | −127.320 | + | 146.936i | −0.884170 | + | 1.02039i | ||||
\(13\) | 162.336 | − | 47.6662i | 0.960569 | − | 0.282049i | 0.236388 | − | 0.971659i | \(-0.424036\pi\) |
0.724181 | + | 0.689610i | \(0.242218\pi\) | |||||||
\(14\) | −7.26225 | + | 3.31656i | −0.0370523 | + | 0.0169212i | ||||
\(15\) | 77.7139 | + | 120.925i | 0.345395 | + | 0.537445i | ||||
\(16\) | −91.5100 | − | 26.8698i | −0.357461 | − | 0.104960i | ||||
\(17\) | 123.573 | − | 17.7671i | 0.427588 | − | 0.0614779i | 0.0748385 | − | 0.997196i | \(-0.476156\pi\) |
0.352749 | + | 0.935718i | \(0.385247\pi\) | |||||||
\(18\) | −130.881 | + | 286.589i | −0.403953 | + | 0.884533i | ||||
\(19\) | 519.438 | + | 74.6839i | 1.43889 | + | 0.206881i | 0.817186 | − | 0.576374i | \(-0.195533\pi\) |
0.621701 | + | 0.783255i | \(0.286442\pi\) | |||||||
\(20\) | −61.2690 | + | 95.3363i | −0.153172 | + | 0.238341i | ||||
\(21\) | 49.8053 | − | 43.1565i | 0.112937 | − | 0.0978605i | ||||
\(22\) | − | 348.337i | − | 0.719704i | ||||||
\(23\) | −167.815 | − | 501.676i | −0.317230 | − | 0.948349i | ||||
\(24\) | −847.889 | −1.47203 | ||||||||
\(25\) | −354.420 | − | 409.022i | −0.567072 | − | 0.654435i | ||||
\(26\) | 270.777 | + | 174.018i | 0.400558 | + | 0.257423i | ||||
\(27\) | 189.089 | − | 1315.14i | 0.259381 | − | 1.80404i | ||||
\(28\) | 47.2612 | + | 21.5835i | 0.0602821 | + | 0.0275299i | ||||
\(29\) | 71.1634 | + | 494.952i | 0.0846176 | + | 0.588528i | 0.987378 | + | 0.158384i | \(0.0506283\pi\) |
−0.902760 | + | 0.430145i | \(0.858463\pi\) | |||||||
\(30\) | −77.0440 | + | 262.388i | −0.0856044 | + | 0.291542i | ||||
\(31\) | −676.717 | + | 434.900i | −0.704180 | + | 0.452549i | −0.843102 | − | 0.537754i | \(-0.819273\pi\) |
0.138922 | + | 0.990303i | \(0.455636\pi\) | |||||||
\(32\) | −434.244 | − | 950.861i | −0.424066 | − | 0.928576i | ||||
\(33\) | 810.081 | + | 2758.88i | 0.743876 | + | 2.53341i | ||||
\(34\) | 179.497 | + | 155.535i | 0.155274 | + | 0.134546i | ||||
\(35\) | 25.1552 | − | 29.0307i | 0.0205349 | − | 0.0236985i | ||||
\(36\) | 1967.29 | − | 577.649i | 1.51797 | − | 0.445717i | ||||
\(37\) | 1852.47 | − | 845.996i | 1.35316 | − | 0.617966i | 0.398912 | − | 0.916989i | \(-0.369388\pi\) |
0.954246 | + | 0.299023i | \(0.0966608\pi\) | |||||||
\(38\) | 539.756 | + | 839.877i | 0.373792 | + | 0.581632i | ||||
\(39\) | −2549.29 | − | 748.539i | −1.67606 | − | 0.492136i | ||||
\(40\) | −489.190 | + | 70.3350i | −0.305744 | + | 0.0439594i | ||||
\(41\) | −1235.78 | + | 2705.98i | −0.735145 | + | 1.60974i | 0.0562344 | + | 0.998418i | \(0.482091\pi\) |
−0.791379 | + | 0.611325i | \(0.790637\pi\) | |||||||
\(42\) | 124.098 | + | 17.8426i | 0.0703505 | + | 0.0101149i | ||||
\(43\) | 779.260 | − | 1212.55i | 0.421449 | − | 0.655788i | −0.563997 | − | 0.825777i | \(-0.690737\pi\) |
0.985446 | + | 0.169989i | \(0.0543733\pi\) | |||||||
\(44\) | −1713.21 | + | 1484.51i | −0.884924 | + | 0.766791i | ||||
\(45\) | − | 1515.89i | − | 0.748588i | ||||||
\(46\) | 512.226 | − | 866.285i | 0.242073 | − | 0.409398i | ||||
\(47\) | −319.343 | −0.144564 | −0.0722822 | − | 0.997384i | \(-0.523028\pi\) | ||||
−0.0722822 | + | 0.997384i | \(0.523028\pi\) | |||||||
\(48\) | 980.798 | + | 1131.90i | 0.425693 | + | 0.491276i | ||||
\(49\) | 2005.03 | + | 1288.56i | 0.835083 | + | 0.536675i | ||||
\(50\) | 146.531 | − | 1019.15i | 0.0586126 | − | 0.407659i | ||||
\(51\) | −1783.35 | − | 814.427i | −0.685639 | − | 0.313121i | ||||
\(52\) | −298.105 | − | 2073.37i | −0.110246 | − | 0.766777i | ||||
\(53\) | −373.020 | + | 1270.39i | −0.132795 | + | 0.452257i | −0.998863 | − | 0.0476683i | \(-0.984821\pi\) |
0.866069 | + | 0.499925i | \(0.166639\pi\) | |||||||
\(54\) | 2126.45 | − | 1366.59i | 0.729235 | − | 0.468651i | ||||
\(55\) | 696.235 | + | 1524.54i | 0.230160 | + | 0.503981i | ||||
\(56\) | 63.8360 | + | 217.405i | 0.0203559 | + | 0.0693257i | ||||
\(57\) | −6228.14 | − | 5396.72i | −1.91694 | − | 1.66104i | ||||
\(58\) | −622.970 | + | 718.946i | −0.185187 | + | 0.213718i | ||||
\(59\) | 2601.91 | − | 763.988i | 0.747459 | − | 0.219474i | 0.114247 | − | 0.993452i | \(-0.463554\pi\) |
0.633212 | + | 0.773978i | \(0.281736\pi\) | |||||||
\(60\) | 1618.83 | − | 739.295i | 0.449675 | − | 0.205360i | ||||
\(61\) | −454.994 | − | 707.985i | −0.122277 | − | 0.190267i | 0.774718 | − | 0.632306i | \(-0.217892\pi\) |
−0.896996 | + | 0.442039i | \(0.854255\pi\) | |||||||
\(62\) | −1468.36 | − | 431.151i | −0.381989 | − | 0.112162i | ||||
\(63\) | −687.911 | + | 98.9066i | −0.173321 | + | 0.0249198i | ||||
\(64\) | 192.213 | − | 420.887i | 0.0469269 | − | 0.102756i | ||||
\(65\) | −1532.91 | − | 220.399i | −0.362819 | − | 0.0521655i | ||||
\(66\) | −2957.41 | + | 4601.83i | −0.678929 | + | 1.05643i | ||||
\(67\) | 4908.84 | − | 4253.53i | 1.09353 | − | 0.947545i | 0.0946763 | − | 0.995508i | \(-0.469818\pi\) |
0.998849 | + | 0.0479630i | \(0.0152729\pi\) | |||||||
\(68\) | − | 1545.65i | − | 0.334267i | ||||||
\(69\) | −2042.31 | + | 8052.33i | −0.428966 | + | 1.69131i | ||||
\(70\) | 73.0788 | 0.0149140 | ||||||||
\(71\) | −136.598 | − | 157.642i | −0.0270974 | − | 0.0312720i | 0.742039 | − | 0.670357i | \(-0.233859\pi\) |
−0.769136 | + | 0.639085i | \(0.779313\pi\) | |||||||
\(72\) | 7522.18 | + | 4834.21i | 1.45104 | + | 0.932525i | ||||
\(73\) | 99.6906 | − | 693.364i | 0.0187072 | − | 0.130111i | −0.978328 | − | 0.207063i | \(-0.933610\pi\) |
0.997035 | + | 0.0769514i | \(0.0245186\pi\) | |||||||
\(74\) | 3524.22 | + | 1609.46i | 0.643576 | + | 0.293912i | ||||
\(75\) | 1209.55 | + | 8412.59i | 0.215031 | + | 1.49557i | ||||
\(76\) | 1830.46 | − | 6233.96i | 0.316907 | − | 1.07929i | ||||
\(77\) | 646.410 | − | 415.423i | 0.109025 | − | 0.0700662i | ||||
\(78\) | −2099.77 | − | 4597.85i | −0.345130 | − | 0.755728i | ||||
\(79\) | 362.477 | + | 1234.48i | 0.0580800 | + | 0.197802i | 0.983422 | − | 0.181331i | \(-0.0580404\pi\) |
−0.925342 | + | 0.379133i | \(0.876222\pi\) | |||||||
\(80\) | 659.767 | + | 571.692i | 0.103089 | + | 0.0893268i | ||||
\(81\) | −4879.24 | + | 5630.94i | −0.743673 | + | 0.858245i | ||||
\(82\) | −5430.15 | + | 1594.44i | −0.807578 | + | 0.237126i | ||||
\(83\) | −4450.33 | + | 2032.40i | −0.646006 | + | 0.295021i | −0.711346 | − | 0.702842i | \(-0.751914\pi\) |
0.0653401 | + | 0.997863i | \(0.479187\pi\) | |||||||
\(84\) | −441.115 | − | 686.388i | −0.0625163 | − | 0.0972772i | ||||
\(85\) | −1096.46 | − | 321.951i | −0.151760 | − | 0.0445607i | ||||
\(86\) | 2714.20 | − | 390.243i | 0.366982 | − | 0.0527641i | ||||
\(87\) | 3262.06 | − | 7142.92i | 0.430977 | − | 0.943708i | ||||
\(88\) | −9785.42 | − | 1406.93i | −1.26361 | − | 0.181680i | ||||
\(89\) | 5270.76 | − | 8201.46i | 0.665416 | − | 1.03541i | −0.330384 | − | 0.943847i | \(-0.607178\pi\) |
0.995800 | − | 0.0915603i | \(-0.0291854\pi\) | |||||||
\(90\) | 2179.50 | − | 1888.55i | 0.269075 | − | 0.233154i | ||||
\(91\) | 710.014i | 0.0857402i | ||||||||
\(92\) | −6443.57 | + | 1172.58i | −0.761292 | + | 0.138538i | ||||
\(93\) | 12632.3 | 1.46056 | ||||||||
\(94\) | −397.848 | − | 459.142i | −0.0450259 | − | 0.0519626i | ||||
\(95\) | −4041.01 | − | 2597.00i | −0.447757 | − | 0.287756i | ||||
\(96\) | −2336.18 | + | 16248.5i | −0.253491 | + | 1.76307i | ||||
\(97\) | 7082.59 | + | 3234.51i | 0.752747 | + | 0.343768i | 0.754561 | − | 0.656230i | \(-0.227850\pi\) |
−0.00181385 | + | 0.999998i | \(0.500577\pi\) | |||||||
\(98\) | 645.293 | + | 4488.11i | 0.0671900 | + | 0.467317i | ||||
\(99\) | 8542.92 | − | 29094.5i | 0.871638 | − | 2.96853i | ||||
\(100\) | −5636.91 | + | 3622.62i | −0.563691 | + | 0.362262i | ||||
\(101\) | −689.872 | − | 1510.61i | −0.0676279 | − | 0.148084i | 0.872800 | − | 0.488079i | \(-0.162302\pi\) |
−0.940427 | + | 0.339994i | \(0.889575\pi\) | |||||||
\(102\) | −1050.80 | − | 3578.69i | −0.100999 | − | 0.343972i | ||||
\(103\) | 8611.98 | + | 7462.33i | 0.811762 | + | 0.703396i | 0.958286 | − | 0.285811i | \(-0.0922631\pi\) |
−0.146524 | + | 0.989207i | \(0.546809\pi\) | |||||||
\(104\) | 5982.15 | − | 6903.77i | 0.553084 | − | 0.638293i | ||||
\(105\) | −578.796 | + | 169.950i | −0.0524985 | + | 0.0154149i | ||||
\(106\) | −2291.25 | + | 1046.38i | −0.203921 | + | 0.0931274i | ||||
\(107\) | 2135.15 | + | 3322.36i | 0.186493 | + | 0.290188i | 0.921893 | − | 0.387445i | \(-0.126642\pi\) |
−0.735400 | + | 0.677633i | \(0.763006\pi\) | |||||||
\(108\) | −15783.5 | − | 4634.45i | −1.35318 | − | 0.397330i | ||||
\(109\) | −17274.1 | + | 2483.64i | −1.45392 | + | 0.209043i | −0.823548 | − | 0.567247i | \(-0.808009\pi\) |
−0.630376 | + | 0.776290i | \(0.717099\pi\) | |||||||
\(110\) | −1324.55 | + | 2900.36i | −0.109467 | + | 0.239699i | ||||
\(111\) | −31655.3 | − | 4551.35i | −2.56922 | − | 0.369398i | ||||
\(112\) | 216.386 | − | 336.703i | 0.0172502 | − | 0.0268418i | ||||
\(113\) | 7014.63 | − | 6078.21i | 0.549349 | − | 0.476013i | −0.335404 | − | 0.942074i | \(-0.608873\pi\) |
0.884752 | + | 0.466061i | \(0.154327\pi\) | |||||||
\(114\) | − | 15678.1i | − | 1.20638i | ||||||
\(115\) | −510.347 | + | 4815.22i | −0.0385895 | + | 0.364100i | ||||
\(116\) | 6190.87 | 0.460083 | ||||||||
\(117\) | 18348.7 | + | 21175.5i | 1.34039 | + | 1.54690i | ||||
\(118\) | 4339.99 | + | 2789.14i | 0.311691 | + | 0.200312i | ||||
\(119\) | −74.5607 | + | 518.581i | −0.00526522 | + | 0.0366204i | ||||
\(120\) | 7059.77 | + | 3224.09i | 0.490262 | + | 0.223895i | ||||
\(121\) | 2687.55 | + | 18692.3i | 0.183563 | + | 1.27671i | ||||
\(122\) | 451.072 | − | 1536.21i | 0.0303058 | − | 0.103212i | ||||
\(123\) | 39299.7 | − | 25256.4i | 2.59764 | − | 1.66940i | ||||
\(124\) | 4137.21 | + | 9059.23i | 0.269069 | + | 0.589180i | ||||
\(125\) | 3007.47 | + | 10242.5i | 0.192478 | + | 0.655520i | ||||
\(126\) | −999.229 | − | 865.837i | −0.0629396 | − | 0.0545375i | ||||
\(127\) | −17362.3 | + | 20037.2i | −1.07647 | + | 1.24231i | −0.107739 | + | 0.994179i | \(0.534361\pi\) |
−0.968727 | + | 0.248129i | \(0.920184\pi\) | |||||||
\(128\) | −15203.1 | + | 4464.04i | −0.927924 | + | 0.272463i | ||||
\(129\) | −20589.4 | + | 9402.85i | −1.23727 | + | 0.565041i | ||||
\(130\) | −1592.87 | − | 2478.55i | −0.0942527 | − | 0.146660i | ||||
\(131\) | 1912.32 | + | 561.507i | 0.111434 | + | 0.0327200i | 0.336974 | − | 0.941514i | \(-0.390597\pi\) |
−0.225540 | + | 0.974234i | \(0.572415\pi\) | |||||||
\(132\) | 35236.6 | − | 5066.26i | 2.02230 | − | 0.290763i | ||||
\(133\) | −914.856 | + | 2003.25i | −0.0517189 | + | 0.113249i | ||||
\(134\) | 12231.2 | + | 1758.58i | 0.681176 | + | 0.0979384i | ||||
\(135\) | −6575.23 | + | 10231.3i | −0.360781 | + | 0.561386i | ||||
\(136\) | 5094.24 | − | 4414.18i | 0.275424 | − | 0.238656i | ||||
\(137\) | − | 14917.2i | − | 0.794781i | −0.917650 | − | 0.397390i | \(-0.869916\pi\) | ||
0.917650 | − | 0.397390i | \(-0.130084\pi\) | |||||||
\(138\) | −14121.8 | + | 7095.51i | −0.741535 | + | 0.372585i | ||||
\(139\) | −5240.17 | −0.271216 | −0.135608 | − | 0.990763i | \(-0.543299\pi\) | ||||
−0.135608 | + | 0.990763i | \(0.543299\pi\) | |||||||
\(140\) | −311.440 | − | 359.421i | −0.0158898 | − | 0.0183378i | ||||
\(141\) | 4218.79 | + | 2711.25i | 0.212202 | + | 0.136374i | ||||
\(142\) | 56.4751 | − | 392.793i | 0.00280079 | − | 0.0194799i | ||||
\(143\) | −28179.1 | − | 12869.0i | −1.37802 | − | 0.629320i | ||||
\(144\) | −2247.80 | − | 15633.8i | −0.108401 | − | 0.753946i | ||||
\(145\) | 1289.52 | − | 4391.72i | 0.0613329 | − | 0.208881i | ||||
\(146\) | 1121.10 | − | 720.485i | 0.0525941 | − | 0.0338002i | ||||
\(147\) | −15548.2 | − | 34045.9i | −0.719525 | − | 1.57554i | ||||
\(148\) | −7103.44 | − | 24192.1i | −0.324299 | − | 1.10446i | ||||
\(149\) | −15586.3 | − | 13505.6i | −0.702054 | − | 0.608333i | 0.228909 | − | 0.973448i | \(-0.426484\pi\) |
−0.930962 | + | 0.365115i | \(0.881030\pi\) | |||||||
\(150\) | −10588.5 | + | 12219.8i | −0.470599 | + | 0.543100i | ||||
\(151\) | −3136.31 | + | 920.904i | −0.137551 | + | 0.0403887i | −0.349784 | − | 0.936831i | \(-0.613745\pi\) |
0.212232 | + | 0.977219i | \(0.431927\pi\) | |||||||
\(152\) | 25773.7 | − | 11770.5i | 1.11555 | − | 0.509456i | ||||
\(153\) | 11177.8 | + | 17393.0i | 0.477501 | + | 0.743006i | ||||
\(154\) | 1402.60 | + | 411.842i | 0.0591416 | + | 0.0173656i | ||||
\(155\) | 7288.25 | − | 1047.89i | 0.303361 | − | 0.0436167i | ||||
\(156\) | −13664.9 | + | 29921.9i | −0.561508 | + | 1.22953i | ||||
\(157\) | 8546.26 | + | 1228.77i | 0.346718 | + | 0.0498506i | 0.313474 | − | 0.949597i | \(-0.398507\pi\) |
0.0332441 | + | 0.999447i | \(0.489416\pi\) | |||||||
\(158\) | −1323.32 | + | 2059.12i | −0.0530091 | + | 0.0824838i | ||||
\(159\) | 15713.6 | − | 13615.9i | 0.621559 | − | 0.538584i | ||||
\(160\) | 9568.36i | 0.373764i | ||||||||
\(161\) | 2218.44 | − | 82.5813i | 0.0855848 | − | 0.00318588i | ||||
\(162\) | −14174.7 | −0.540113 | ||||||||
\(163\) | −9951.15 | − | 11484.2i | −0.374540 | − | 0.432242i | 0.536919 | − | 0.843634i | \(-0.319588\pi\) |
−0.911458 | + | 0.411392i | \(0.865043\pi\) | |||||||
\(164\) | 30983.5 | + | 19911.9i | 1.15198 | + | 0.740330i | ||||
\(165\) | 3745.66 | − | 26051.6i | 0.137581 | − | 0.956900i | ||||
\(166\) | −8466.51 | − | 3866.53i | −0.307247 | − | 0.140315i | ||||
\(167\) | −821.633 | − | 5714.58i | −0.0294608 | − | 0.204905i | 0.969775 | − | 0.244003i | \(-0.0784606\pi\) |
−0.999235 | + | 0.0390982i | \(0.987551\pi\) | |||||||
\(168\) | 1002.47 | − | 3414.08i | 0.0355182 | − | 0.120964i | ||||
\(169\) | 53.9381 | − | 34.6639i | 0.00188852 | − | 0.00121368i | ||||
\(170\) | −903.122 | − | 1977.56i | −0.0312499 | − | 0.0684278i | ||||
\(171\) | 24484.7 | + | 83387.4i | 0.837343 | + | 2.85173i | ||||
\(172\) | −13486.4 | − | 11686.1i | −0.455869 | − | 0.395013i | ||||
\(173\) | 5358.73 | − | 6184.31i | 0.179048 | − | 0.206633i | −0.659130 | − | 0.752029i | \(-0.729075\pi\) |
0.838178 | + | 0.545396i | \(0.183621\pi\) | |||||||
\(174\) | 14333.9 | − | 4208.81i | 0.473440 | − | 0.139015i | ||||
\(175\) | 2065.99 | − | 943.506i | 0.0674609 | − | 0.0308084i | ||||
\(176\) | 9441.11 | + | 14690.7i | 0.304788 | + | 0.474259i | ||||
\(177\) | −40859.7 | − | 11997.5i | −1.30421 | − | 0.382952i | ||||
\(178\) | 18358.3 | − | 2639.53i | 0.579419 | − | 0.0833079i | ||||
\(179\) | −12225.2 | + | 26769.5i | −0.381549 | + | 0.835476i | 0.617264 | + | 0.786756i | \(0.288241\pi\) |
−0.998813 | + | 0.0487192i | \(0.984486\pi\) | |||||||
\(180\) | −18576.8 | − | 2670.94i | −0.573357 | − | 0.0824363i | ||||
\(181\) | 27790.6 | − | 43243.0i | 0.848283 | − | 1.31995i | −0.0975269 | − | 0.995233i | \(-0.531093\pi\) |
0.945810 | − | 0.324721i | \(-0.105270\pi\) | |||||||
\(182\) | −1020.84 | + | 884.561i | −0.0308187 | + | 0.0267045i | ||||
\(183\) | 13216.0i | 0.394638i | ||||||||
\(184\) | −22266.7 | − | 17888.3i | −0.657687 | − | 0.528364i | ||||
\(185\) | −18641.1 | −0.544664 | ||||||||
\(186\) | 15737.8 | + | 18162.4i | 0.454903 | + | 0.524986i | ||||
\(187\) | −19230.1 | − | 12358.4i | −0.549918 | − | 0.353411i | ||||
\(188\) | −562.669 | + | 3913.45i | −0.0159198 | + | 0.110724i | ||||
\(189\) | 5071.95 | + | 2316.28i | 0.141988 | + | 0.0648438i | ||||
\(190\) | −1300.54 | − | 9045.48i | −0.0360261 | − | 0.250567i | ||||
\(191\) | −12162.2 | + | 41420.5i | −0.333384 | + | 1.13540i | 0.606835 | + | 0.794828i | \(0.292439\pi\) |
−0.940218 | + | 0.340572i | \(0.889379\pi\) | |||||||
\(192\) | −6112.66 | + | 3928.37i | −0.165817 | + | 0.106564i | ||||
\(193\) | 14460.4 | + | 31663.9i | 0.388210 | + | 0.850061i | 0.998331 | + | 0.0577525i | \(0.0183934\pi\) |
−0.610121 | + | 0.792308i | \(0.708879\pi\) | |||||||
\(194\) | 4173.26 | + | 14212.8i | 0.110885 | + | 0.377639i | ||||
\(195\) | 18379.8 | + | 15926.2i | 0.483362 | + | 0.418835i | ||||
\(196\) | 19323.7 | − | 22300.7i | 0.503011 | − | 0.580505i | ||||
\(197\) | 37051.3 | − | 10879.2i | 0.954709 | − | 0.280328i | 0.232963 | − | 0.972486i | \(-0.425158\pi\) |
0.721746 | + | 0.692158i | \(0.243340\pi\) | |||||||
\(198\) | 52474.3 | − | 23964.2i | 1.33849 | − | 0.611270i | ||||
\(199\) | 38164.1 | + | 59384.5i | 0.963716 | + | 1.49957i | 0.863340 | + | 0.504622i | \(0.168368\pi\) |
0.100376 | + | 0.994950i | \(0.467996\pi\) | |||||||
\(200\) | −28037.9 | − | 8232.67i | −0.700948 | − | 0.205817i | ||||
\(201\) | −100963. | + | 14516.3i | −2.49902 | + | 0.359304i | ||||
\(202\) | 1312.44 | − | 2873.85i | 0.0321645 | − | 0.0704305i | ||||
\(203\) | −2077.10 | − | 298.642i | −0.0504040 | − | 0.00724700i | ||||
\(204\) | −13122.7 | + | 20419.4i | −0.315329 | + | 0.490662i | ||||
\(205\) | 20578.9 | − | 17831.7i | 0.489683 | − | 0.424313i | ||||
\(206\) | 21678.9i | 0.510861i | ||||||||
\(207\) | 64028.8 | − | 59793.4i | 1.49429 | − | 1.39544i | ||||
\(208\) | −16136.2 | −0.372970 | ||||||||
\(209\) | −62923.6 | − | 72617.7i | −1.44053 | − | 1.66246i | ||||
\(210\) | −965.433 | − | 620.446i | −0.0218919 | − | 0.0140691i | ||||
\(211\) | 608.587 | − | 4232.81i | 0.0136697 | − | 0.0950746i | −0.981844 | − | 0.189688i | \(-0.939252\pi\) |
0.995514 | + | 0.0946133i | \(0.0301615\pi\) | |||||||
\(212\) | 14911.0 | + | 6809.62i | 0.331768 | + | 0.151513i | ||||
\(213\) | 466.175 | + | 3242.32i | 0.0102752 | + | 0.0714655i | ||||
\(214\) | −2116.75 | + | 7208.98i | −0.0462212 | + | 0.157415i | ||||
\(215\) | −11099.1 | + | 7132.94i | −0.240110 | + | 0.154309i | ||||
\(216\) | −29801.2 | − | 65255.5i | −0.638742 | − | 1.39865i | ||||
\(217\) | −951.066 | − | 3239.03i | −0.0201972 | − | 0.0687853i | ||||
\(218\) | −25091.6 | − | 21742.0i | −0.527977 | − | 0.457494i | ||||
\(219\) | −7203.72 | + | 8313.54i | −0.150200 | + | 0.173339i | ||||
\(220\) | 19909.5 | − | 5845.97i | 0.411354 | − | 0.120784i | ||||
\(221\) | 19213.5 | − | 8774.50i | 0.393388 | − | 0.179654i | ||||
\(222\) | −32893.5 | − | 51183.3i | −0.667428 | − | 1.03854i | ||||
\(223\) | 31118.9 | + | 9137.34i | 0.625770 | + | 0.183743i | 0.579217 | − | 0.815173i | \(-0.303358\pi\) |
0.0465529 | + | 0.998916i | \(0.485176\pi\) | |||||||
\(224\) | 4342.12 | − | 624.303i | 0.0865378 | − | 0.0124423i | ||||
\(225\) | 37233.4 | − | 81529.8i | 0.735475 | − | 1.61047i | ||||
\(226\) | 17478.2 | + | 2512.98i | 0.342199 | + | 0.0492008i | ||||
\(227\) | −33687.1 | + | 52418.2i | −0.653750 | + | 1.01726i | 0.343203 | + | 0.939261i | \(0.388488\pi\) |
−0.996954 | + | 0.0779943i | \(0.975148\pi\) | |||||||
\(228\) | −77108.8 | + | 66815.2i | −1.48332 | + | 1.28530i | ||||
\(229\) | − | 27905.6i | − | 0.532134i | −0.963955 | − | 0.266067i | \(-0.914276\pi\) | ||
0.963955 | − | 0.266067i | \(-0.0857242\pi\) | |||||||
\(230\) | −7558.99 | + | 5265.21i | −0.142892 | + | 0.0995314i | ||||
\(231\) | −12066.6 | −0.226131 | ||||||||
\(232\) | 17680.3 | + | 20404.2i | 0.328484 | + | 0.379091i | ||||
\(233\) | 38179.2 | + | 24536.3i | 0.703258 | + | 0.451956i | 0.842777 | − | 0.538263i | \(-0.180919\pi\) |
−0.139519 | + | 0.990219i | \(0.544556\pi\) | |||||||
\(234\) | −7586.08 | + | 52762.3i | −0.138543 | + | 0.963590i | ||||
\(235\) | 2658.94 | + | 1214.30i | 0.0481474 | + | 0.0219882i | ||||
\(236\) | −4777.99 | − | 33231.7i | −0.0857870 | − | 0.596662i | ||||
\(237\) | 5692.26 | − | 19386.1i | 0.101342 | − | 0.345138i | ||||
\(238\) | −838.492 | + | 538.866i | −0.0148028 | + | 0.00951320i | ||||
\(239\) | 34947.0 | + | 76523.2i | 0.611806 | + | 1.33967i | 0.921332 | + | 0.388777i | \(0.127102\pi\) |
−0.309526 | + | 0.950891i | \(0.600170\pi\) | |||||||
\(240\) | −3862.37 | − | 13154.0i | −0.0670550 | − | 0.228368i | ||||
\(241\) | −51938.0 | − | 45004.5i | −0.894234 | − | 0.774858i | 0.0808424 | − | 0.996727i | \(-0.474239\pi\) |
−0.975077 | + | 0.221869i | \(0.928784\pi\) | |||||||
\(242\) | −23527.0 | + | 27151.6i | −0.401732 | + | 0.463623i | ||||
\(243\) | 9003.57 | − | 2643.69i | 0.152476 | − | 0.0447711i | ||||
\(244\) | −9477.81 | + | 4328.37i | −0.159195 | + | 0.0727018i | ||||
\(245\) | −11794.8 | − | 18353.0i | −0.196498 | − | 0.305757i | ||||
\(246\) | 85273.8 | + | 25038.7i | 1.40911 | + | 0.413753i | ||||
\(247\) | 87883.5 | − | 12635.7i | 1.44050 | − | 0.207113i | ||||
\(248\) | −18042.5 | + | 39507.6i | −0.293355 | + | 0.642359i | ||||
\(249\) | 76047.9 | + | 10934.0i | 1.22656 | + | 0.176353i | ||||
\(250\) | −10979.6 | + | 17084.5i | −0.175673 | + | 0.273352i | ||||
\(251\) | 40351.1 | − | 34964.5i | 0.640484 | − | 0.554983i | −0.272920 | − | 0.962037i | \(-0.587989\pi\) |
0.913404 | + | 0.407054i | \(0.133444\pi\) | |||||||
\(252\) | 8604.40i | 0.135494i | ||||||||
\(253\) | −36931.7 | + | 89542.5i | −0.576976 | + | 1.39891i | ||||
\(254\) | −50439.5 | −0.781813 | ||||||||
\(255\) | 11751.8 | + | 13562.3i | 0.180728 | + | 0.208571i | ||||
\(256\) | −31586.8 | − | 20299.6i | −0.481977 | − | 0.309748i | ||||
\(257\) | 8623.76 | − | 59979.5i | 0.130566 | − | 0.908107i | −0.814252 | − | 0.580511i | \(-0.802853\pi\) |
0.944818 | − | 0.327595i | \(-0.106238\pi\) | |||||||
\(258\) | −39170.1 | − | 17888.4i | −0.588458 | − | 0.268740i | ||||
\(259\) | 1216.27 | + | 8459.34i | 0.0181314 | + | 0.126106i | ||||
\(260\) | −5401.85 | + | 18397.0i | −0.0799090 | + | 0.272145i | ||||
\(261\) | −69665.1 | + | 44771.0i | −1.02267 | + | 0.657228i | ||||
\(262\) | 1575.12 | + | 3449.02i | 0.0229461 | + | 0.0502451i | ||||
\(263\) | −34862.6 | − | 118731.i | −0.504020 | − | 1.71653i | −0.680967 | − | 0.732314i | \(-0.738440\pi\) |
0.176947 | − | 0.984220i | \(-0.443378\pi\) | |||||||
\(264\) | 117329. | + | 101666.i | 1.68344 | + | 1.45871i | ||||
\(265\) | 7936.52 | − | 9159.23i | 0.113016 | − | 0.130427i | ||||
\(266\) | −4019.98 | + | 1180.37i | −0.0568147 | + | 0.0166823i | ||||
\(267\) | −139262. | + | 63599.0i | −1.95349 | + | 0.892129i | ||||
\(268\) | −43476.5 | − | 67650.8i | −0.605320 | − | 0.941897i | ||||
\(269\) | 74410.9 | + | 21849.0i | 1.02833 | + | 0.301944i | 0.752031 | − | 0.659128i | \(-0.229074\pi\) |
0.276297 | + | 0.961072i | \(0.410893\pi\) | |||||||
\(270\) | −22901.9 | + | 3292.79i | −0.314155 | + | 0.0451686i | ||||
\(271\) | 17101.0 | − | 37446.0i | 0.232854 | − | 0.509879i | −0.756749 | − | 0.653706i | \(-0.773213\pi\) |
0.989603 | + | 0.143826i | \(0.0459407\pi\) | |||||||
\(272\) | −11785.6 | − | 1694.51i | −0.159299 | − | 0.0229037i | ||||
\(273\) | 6028.09 | − | 9379.89i | 0.0808825 | − | 0.125856i | ||||
\(274\) | 21447.6 | − | 18584.4i | 0.285678 | − | 0.247542i | ||||
\(275\) | 99096.1i | 1.31036i | ||||||||
\(276\) | 95080.4 | + | 39215.7i | 1.24817 | + | 0.514804i | ||||
\(277\) | 142671. | 1.85941 | 0.929707 | − | 0.368300i | \(-0.120060\pi\) | ||||
0.929707 | + | 0.368300i | \(0.120060\pi\) | |||||||
\(278\) | −6528.39 | − | 7534.17i | −0.0844728 | − | 0.0974868i | ||||
\(279\) | −112070. | − | 72022.9i | −1.43973 | − | 0.925257i | ||||
\(280\) | 295.165 | − | 2052.92i | 0.00376486 | − | 0.0261852i | ||||
\(281\) | 37099.1 | + | 16942.6i | 0.469841 | + | 0.214569i | 0.636243 | − | 0.771489i | \(-0.280488\pi\) |
−0.166402 | + | 0.986058i | \(0.553215\pi\) | |||||||
\(282\) | 1357.76 | + | 9443.42i | 0.0170736 | + | 0.118749i | ||||
\(283\) | −12027.9 | + | 40963.2i | −0.150182 | + | 0.511472i | −0.999875 | − | 0.0158054i | \(-0.994969\pi\) |
0.849693 | + | 0.527277i | \(0.176787\pi\) | |||||||
\(284\) | −2172.54 | + | 1396.21i | −0.0269359 | + | 0.0173106i | ||||
\(285\) | 31336.4 | + | 68617.1i | 0.385797 | + | 0.844778i | ||||
\(286\) | −16603.9 | − | 56547.7i | −0.202992 | − | 0.691326i | ||||
\(287\) | −9434.74 | − | 8175.25i | −0.114542 | − | 0.0992515i | ||||
\(288\) | 113366. | − | 130831.i | 1.36678 | − | 1.57734i | ||||
\(289\) | −65183.2 | + | 19139.5i | −0.780441 | + | 0.229158i | ||||
\(290\) | 7920.82 | − | 3617.32i | 0.0941834 | − | 0.0430121i | ||||
\(291\) | −66105.7 | − | 102863.i | −0.780644 | − | 1.21471i | ||||
\(292\) | −8321.30 | − | 2443.36i | −0.0975946 | − | 0.0286564i | ||||
\(293\) | −6332.73 | + | 910.509i | −0.0737659 | + | 0.0106059i | −0.179099 | − | 0.983831i | \(-0.557318\pi\) |
0.105333 | + | 0.994437i | \(0.466409\pi\) | |||||||
\(294\) | 29579.6 | − | 64770.3i | 0.342214 | − | 0.749344i | ||||
\(295\) | −24569.3 | − | 3532.53i | −0.282325 | − | 0.0405921i | ||||
\(296\) | 59447.0 | − | 92501.3i | 0.678495 | − | 1.05576i | ||||
\(297\) | −183858. | + | 159314.i | −2.08434 | + | 1.80609i | ||||
\(298\) | − | 39235.3i | − | 0.441819i | ||||||
\(299\) | −51155.4 | − | 73441.2i | −0.572202 | − | 0.821480i | ||||
\(300\) | 105225. | 1.16916 | ||||||||
\(301\) | 3961.10 | + | 4571.35i | 0.0437203 | + | 0.0504559i | ||||
\(302\) | −5231.38 | − | 3362.00i | −0.0573591 | − | 0.0368624i | ||||
\(303\) | −3711.42 | + | 25813.5i | −0.0404254 | + | 0.281165i | ||||
\(304\) | −45527.0 | − | 20791.5i | −0.492631 | − | 0.224977i | ||||
\(305\) | 1096.31 | + | 7625.00i | 0.0117851 | + | 0.0819672i | ||||
\(306\) | −11081.5 | + | 37740.0i | −0.118346 | + | 0.403050i | ||||
\(307\) | −77218.6 | + | 49625.4i | −0.819304 | + | 0.526535i | −0.881862 | − | 0.471507i | \(-0.843710\pi\) |
0.0625587 | + | 0.998041i | \(0.480074\pi\) | |||||||
\(308\) | −3951.93 | − | 8653.51i | −0.0416589 | − | 0.0912202i | ||||
\(309\) | −50415.7 | − | 171700.i | −0.528018 | − | 1.79827i | ||||
\(310\) | 10586.6 | + | 9173.33i | 0.110162 | + | 0.0954561i | ||||
\(311\) | 19210.4 | − | 22170.0i | 0.198617 | − | 0.229216i | −0.647701 | − | 0.761895i | \(-0.724269\pi\) |
0.846317 | + | 0.532679i | \(0.178815\pi\) | |||||||
\(312\) | −137643. | + | 40415.6i | −1.41399 | + | 0.415184i | ||||
\(313\) | −39613.4 | + | 18090.8i | −0.404346 | + | 0.184659i | −0.607198 | − | 0.794551i | \(-0.707706\pi\) |
0.202851 | + | 0.979210i | \(0.434979\pi\) | |||||||
\(314\) | 8880.55 | + | 13818.4i | 0.0900701 | + | 0.140152i | ||||
\(315\) | 6103.84 | + | 1792.25i | 0.0615152 | + | 0.0180625i | ||||
\(316\) | 15766.9 | − | 2266.94i | 0.157896 | − | 0.0227021i | ||||
\(317\) | −18500.1 | + | 40509.6i | −0.184101 | + | 0.403125i | −0.979070 | − | 0.203526i | \(-0.934760\pi\) |
0.794969 | + | 0.606650i | \(0.207487\pi\) | |||||||
\(318\) | 39153.2 | + | 5629.38i | 0.387180 | + | 0.0556681i | ||||
\(319\) | 49499.8 | − | 77023.1i | 0.486432 | − | 0.756902i | ||||
\(320\) | −3200.84 | + | 2773.54i | −0.0312582 | + | 0.0270854i | ||||
\(321\) | − | 62018.9i | − | 0.601886i | ||||||
\(322\) | 2882.55 | + | 3086.73i | 0.0278013 | + | 0.0297706i | ||||
\(323\) | 65515.4 | 0.627969 | ||||||||
\(324\) | 60408.4 | + | 69715.1i | 0.575450 | + | 0.664105i | ||||
\(325\) | −77031.7 | − | 49505.3i | −0.729294 | − | 0.468689i | ||||
\(326\) | 4114.21 | − | 28614.9i | 0.0387125 | − | 0.269251i | ||||
\(327\) | 249291. | + | 113848.i | 2.33137 | + | 1.06470i | ||||
\(328\) | 22858.3 | + | 158983.i | 0.212469 | + | 1.47776i | ||||
\(329\) | 377.561 | − | 1285.86i | 0.00348815 | − | 0.0118796i | ||||
\(330\) | 42122.7 | − | 27070.6i | 0.386802 | − | 0.248582i | ||||
\(331\) | 13230.7 | + | 28971.1i | 0.120761 | + | 0.264429i | 0.960352 | − | 0.278789i | \(-0.0899329\pi\) |
−0.839592 | + | 0.543218i | \(0.817206\pi\) | |||||||
\(332\) | 17065.1 | + | 58118.5i | 0.154822 | + | 0.527276i | ||||
\(333\) | 254886. | + | 220860.i | 2.29857 | + | 1.99172i | ||||
\(334\) | 7192.64 | − | 8300.75i | 0.0644756 | − | 0.0744088i | ||||
\(335\) | −57046.4 | + | 16750.3i | −0.508322 | + | 0.149257i | ||||
\(336\) | −5717.28 | + | 2611.00i | −0.0506420 | + | 0.0231274i | ||||
\(337\) | −25002.4 | − | 38904.6i | −0.220152 | − | 0.342563i | 0.713556 | − | 0.700598i | \(-0.247083\pi\) |
−0.933708 | + | 0.358035i | \(0.883447\pi\) | |||||||
\(338\) | 117.037 | + | 34.3651i | 0.00102445 | + | 0.000300804i | ||||
\(339\) | −144274. | + | 20743.4i | −1.25542 | + | 0.180502i | ||||
\(340\) | −5877.33 | + | 12869.6i | −0.0508420 | + | 0.111328i | ||||
\(341\) | 145789. | + | 20961.3i | 1.25376 | + | 0.180264i | ||||
\(342\) | −89388.0 | + | 139090.i | −0.764235 | + | 1.18917i | ||||
\(343\) | −15173.9 | + | 13148.3i | −0.128976 | + | 0.111759i | ||||
\(344\) | − | 77823.1i | − | 0.657645i | ||||||
\(345\) | 47623.8 | − | 59280.2i | 0.400116 | − | 0.498049i | ||||
\(346\) | 15567.7 | 0.130039 | ||||||||
\(347\) | −24632.7 | − | 28427.7i | −0.204576 | − | 0.236093i | 0.644186 | − | 0.764869i | \(-0.277196\pi\) |
−0.848761 | + | 0.528776i | \(0.822651\pi\) | |||||||
\(348\) | −81786.7 | − | 52561.1i | −0.675343 | − | 0.434016i | ||||
\(349\) | −15360.1 | + | 106832.i | −0.126108 | + | 0.877100i | 0.824313 | + | 0.566134i | \(0.191562\pi\) |
−0.950421 | + | 0.310966i | \(0.899348\pi\) | |||||||
\(350\) | 3930.43 | + | 1794.97i | 0.0320851 | + | 0.0146528i | ||||
\(351\) | −31991.9 | − | 222508.i | −0.259672 | − | 1.80606i | ||||
\(352\) | −53923.3 | + | 183646.i | −0.435202 | + | 1.48216i | ||||
\(353\) | −81790.2 | + | 52563.3i | −0.656374 | + | 0.421826i | −0.825991 | − | 0.563684i | \(-0.809384\pi\) |
0.169616 | + | 0.985510i | \(0.445747\pi\) | |||||||
\(354\) | −33654.8 | − | 73693.8i | −0.268560 | − | 0.588064i | ||||
\(355\) | 537.921 | + | 1831.99i | 0.00426837 | + | 0.0145367i | ||||
\(356\) | −91219.5 | − | 79042.1i | −0.719760 | − | 0.623675i | ||||
\(357\) | 5387.81 | − | 6217.87i | 0.0422743 | − | 0.0487871i | ||||
\(358\) | −53719.0 | + | 15773.3i | −0.419142 | + | 0.123071i | ||||
\(359\) | 24295.5 | − | 11095.4i | 0.188511 | − | 0.0860901i | −0.318923 | − | 0.947780i | \(-0.603321\pi\) |
0.507434 | + | 0.861690i | \(0.330594\pi\) | |||||||
\(360\) | −44249.8 | − | 68854.1i | −0.341434 | − | 0.531282i | ||||
\(361\) | 139196. | + | 40871.6i | 1.06810 | + | 0.313623i | ||||
\(362\) | 96796.1 | − | 13917.2i | 0.738653 | − | 0.106202i | ||||
\(363\) | 123195. | − | 269759.i | 0.934929 | − | 2.04721i | ||||
\(364\) | 8701.01 | + | 1251.02i | 0.0656700 | + | 0.00944191i | ||||
\(365\) | −3466.56 | + | 5394.08i | −0.0260204 | + | 0.0404885i | ||||
\(366\) | −19001.6 | + | 16465.0i | −0.141850 | + | 0.122913i | ||||
\(367\) | 219889.i | 1.63257i | 0.577652 | + | 0.816283i | \(0.303969\pi\) | ||||
−0.577652 | + | 0.816283i | \(0.696031\pi\) | |||||||
\(368\) | 1876.79 | + | 50417.5i | 0.0138586 | + | 0.372294i | ||||
\(369\) | −492652. | −3.61816 | ||||||||
\(370\) | −23223.8 | − | 26801.7i | −0.169640 | − | 0.195776i | ||||
\(371\) | −4674.29 | − | 3003.98i | −0.0339600 | − | 0.0218248i | ||||
\(372\) | 22257.7 | − | 154805.i | 0.160840 | − | 1.11867i | ||||
\(373\) | −126020. | − | 57551.6i | −0.905781 | − | 0.413656i | −0.0926243 | − | 0.995701i | \(-0.529526\pi\) |
−0.813157 | + | 0.582045i | \(0.802253\pi\) | |||||||
\(374\) | −6188.94 | − | 43045.0i | −0.0442459 | − | 0.307737i | ||||
\(375\) | 47228.6 | − | 160846.i | 0.335848 | − | 1.14379i | ||||
\(376\) | −14505.0 | + | 9321.82i | −0.102599 | + | 0.0659364i | ||||
\(377\) | 35144.9 | + | 76956.6i | 0.247275 | + | 0.541456i | ||||
\(378\) | 2988.54 | + | 10178.0i | 0.0209158 | + | 0.0712327i | ||||
\(379\) | −56672.3 | − | 49106.8i | −0.394541 | − | 0.341872i | 0.434887 | − | 0.900485i | \(-0.356788\pi\) |
−0.829428 | + | 0.558613i | \(0.811334\pi\) | |||||||
\(380\) | −38945.5 | + | 44945.5i | −0.269706 | + | 0.311257i | ||||
\(381\) | 399488. | − | 117300.i | 2.75204 | − | 0.808071i | ||||
\(382\) | −74705.3 | + | 34116.8i | −0.511947 | + | 0.233798i | ||||
\(383\) | 80558.1 | + | 125351.i | 0.549176 | + | 0.854534i | 0.999260 | − | 0.0384516i | \(-0.0122425\pi\) |
−0.450085 | + | 0.892986i | \(0.648606\pi\) | |||||||
\(384\) | 238746. | + | 70102.2i | 1.61910 | + | 0.475411i | ||||
\(385\) | −6961.84 | + | 1000.96i | −0.0469681 | + | 0.00675299i | ||||
\(386\) | −27510.1 | + | 60238.8i | −0.184637 | + | 0.404298i | ||||
\(387\) | 236272. | + | 33970.8i | 1.57758 | + | 0.226821i | ||||
\(388\) | 52117.2 | − | 81095.9i | 0.346192 | − | 0.538686i | ||||
\(389\) | 13172.9 | − | 11414.4i | 0.0870527 | − | 0.0754316i | −0.610247 | − | 0.792211i | \(-0.708930\pi\) |
0.697300 | + | 0.716779i | \(0.254384\pi\) | |||||||
\(390\) | 46267.4i | 0.304191i | ||||||||
\(391\) | −29650.7 | − | 59012.0i | −0.193946 | − | 0.386000i | ||||
\(392\) | 128686. | 0.837448 | ||||||||
\(393\) | −20496.1 | − | 23653.8i | −0.132705 | − | 0.153149i | ||||
\(394\) | 61801.7 | + | 39717.5i | 0.398114 | + | 0.255853i | ||||
\(395\) | 1676.02 | − | 11657.0i | 0.0107420 | − | 0.0747124i | ||||
\(396\) | −341492. | − | 155954.i | −2.17766 | − | 0.994505i | ||||
\(397\) | −23271.2 | − | 161855.i | −0.147652 | − | 1.02694i | −0.920050 | − | 0.391801i | \(-0.871852\pi\) |
0.772398 | − | 0.635139i | \(-0.219057\pi\) | |||||||
\(398\) | −37835.1 | + | 128855.i | −0.238852 | + | 0.813456i | ||||
\(399\) | 29093.8 | − | 18697.5i | 0.182749 | − | 0.117446i | ||||
\(400\) | 21442.6 | + | 46952.8i | 0.134016 | + | 0.293455i | ||||
\(401\) | 4160.37 | + | 14168.9i | 0.0258728 | + | 0.0881147i | 0.971417 | − | 0.237378i | \(-0.0762880\pi\) |
−0.945545 | + | 0.325493i | \(0.894470\pi\) | |||||||
\(402\) | −146654. | − | 127076.i | −0.907490 | − | 0.786345i | ||||
\(403\) | −89125.6 | + | 102856.i | −0.548773 | + | 0.633318i | ||||
\(404\) | −19727.6 | + | 5792.54i | −0.120868 | + | 0.0354900i | ||||
\(405\) | 62037.6 | − | 28331.6i | 0.378220 | − | 0.172727i | ||||
\(406\) | −2158.34 | − | 3358.45i | −0.0130939 | − | 0.0203745i | ||||
\(407\) | −357780. | − | 105054.i | −2.15987 | − | 0.634194i | ||||
\(408\) | −104776. | + | 15064.5i | −0.629422 | + | 0.0904972i | ||||
\(409\) | −91424.6 | + | 200192.i | −0.546533 | + | 1.19674i | 0.411849 | + | 0.911252i | \(0.364883\pi\) |
−0.958382 | + | 0.285488i | \(0.907844\pi\) | |||||||
\(410\) | 51275.9 | + | 7372.36i | 0.305032 | + | 0.0438570i | ||||
\(411\) | −126649. | + | 197069.i | −0.749752 | + | 1.16664i | ||||
\(412\) | 106622. | − | 92388.9i | 0.628137 | − | 0.544284i | ||||
\(413\) | 11380.0i | 0.0667180i | ||||||||
\(414\) | 165739. | + | 17566.0i | 0.966992 | + | 0.102488i | ||||
\(415\) | 44783.0 | 0.260026 | ||||||||
\(416\) | −115817. | − | 133660.i | −0.669249 | − | 0.772354i | ||||
\(417\) | 69227.1 | + | 44489.6i | 0.398111 | + | 0.255850i | ||||
\(418\) | 26015.2 | − | 180939.i | 0.148893 | − | 1.03557i | ||||
\(419\) | 184786. | + | 84388.7i | 1.05254 | + | 0.480680i | 0.865102 | − | 0.501595i | \(-0.167253\pi\) |
0.187441 | + | 0.982276i | \(0.439981\pi\) | |||||||
\(420\) | 1062.87 | + | 7392.40i | 0.00602532 | + | 0.0419071i | ||||
\(421\) | 34384.9 | − | 117104.i | 0.194001 | − | 0.660706i | −0.803829 | − | 0.594860i | \(-0.797207\pi\) |
0.997830 | − | 0.0658456i | \(-0.0209745\pi\) | |||||||
\(422\) | 6844.02 | − | 4398.38i | 0.0384314 | − | 0.0246984i | ||||
\(423\) | −21969.5 | − | 48106.6i | −0.122784 | − | 0.268858i | ||||
\(424\) | 20140.4 | + | 68591.8i | 0.112030 | + | 0.381540i | ||||
\(425\) | −51063.8 | − | 44247.0i | −0.282706 | − | 0.244966i | ||||
\(426\) | −4080.93 | + | 4709.65i | −0.0224875 | + | 0.0259519i | ||||
\(427\) | 3388.69 | − | 995.010i | 0.0185856 | − | 0.00545722i | ||||
\(428\) | 44476.6 | − | 20311.8i | 0.242797 | − | 0.110882i | ||||
\(429\) | 263011. | + | 409253.i | 1.42909 | + | 2.22371i | ||||
\(430\) | −24083.1 | − | 7071.45i | −0.130250 | − | 0.0382447i | ||||
\(431\) | 292854. | − | 42106.1i | 1.57651 | − | 0.226668i | 0.702181 | − | 0.711999i | \(-0.252210\pi\) |
0.874331 | + | 0.485331i | \(0.161301\pi\) | |||||||
\(432\) | −52641.1 | + | 115268.i | −0.282070 | + | 0.617648i | ||||
\(433\) | −173478. | − | 24942.4i | −0.925272 | − | 0.133034i | −0.336823 | − | 0.941568i | \(-0.609352\pi\) |
−0.588449 | + | 0.808534i | \(0.700261\pi\) | |||||||
\(434\) | 3472.12 | − | 5402.72i | 0.0184338 | − | 0.0286835i | ||||
\(435\) | −54321.8 | + | 47070.1i | −0.287075 | + | 0.248752i | ||||
\(436\) | 216064.i | 1.13661i | ||||||||
\(437\) | −49702.1 | − | 273123.i | −0.260263 | − | 1.43019i | ||||
\(438\) | −20927.6 | −0.109087 | ||||||||
\(439\) | −110150. | − | 127120.i | −0.571551 | − | 0.659605i | 0.394216 | − | 0.919018i | \(-0.371016\pi\) |
−0.965766 | + | 0.259413i | \(0.916471\pi\) | |||||||
\(440\) | 76126.5 | + | 48923.5i | 0.393215 | + | 0.252704i | ||||
\(441\) | −56172.9 | + | 390691.i | −0.288835 | + | 2.00889i | ||||
\(442\) | 36552.5 | + | 16693.0i | 0.187100 | + | 0.0854456i | ||||
\(443\) | −9323.24 | − | 64844.6i | −0.0475072 | − | 0.330420i | −0.999690 | − | 0.0248914i | \(-0.992076\pi\) |
0.952183 | − | 0.305528i | \(-0.0988331\pi\) | |||||||
\(444\) | −111551. | + | 379907.i | −0.565857 | + | 1.92713i | ||||
\(445\) | −75071.9 | + | 48245.8i | −0.379103 | + | 0.243635i | ||||
\(446\) | 25631.7 | + | 56125.5i | 0.128857 | + | 0.282157i | ||||
\(447\) | 91244.3 | + | 310750.i | 0.456658 | + | 1.55523i | ||||
\(448\) | 1467.48 | + | 1271.58i | 0.00731165 | + | 0.00633558i | ||||
\(449\) | 170144. | − | 196357.i | 0.843965 | − | 0.973987i | −0.155940 | − | 0.987766i | \(-0.549841\pi\) |
0.999905 | + | 0.0137792i | \(0.00438618\pi\) | |||||||
\(450\) | 163608. | − | 48039.6i | 0.807940 | − | 0.237233i | ||||
\(451\) | 495464. | − | 226271.i | 2.43590 | − | 1.11244i | ||||
\(452\) | −62127.1 | − | 96671.7i | −0.304092 | − | 0.473176i | ||||
\(453\) | 49251.9 | + | 14461.7i | 0.240008 | + | 0.0704728i | ||||
\(454\) | −117334. | + | 16870.1i | −0.569261 | + | 0.0818474i | ||||
\(455\) | 2699.82 | − | 5911.79i | 0.0130411 | − | 0.0285559i | ||||
\(456\) | −440425. | − | 63323.6i | −2.11808 | − | 0.304534i | ||||
\(457\) | 45524.8 | − | 70837.9i | 0.217979 | − | 0.339182i | −0.714992 | − | 0.699132i | \(-0.753570\pi\) |
0.932972 | + | 0.359950i | \(0.117206\pi\) | |||||||
\(458\) | 40121.9 | − | 34765.8i | 0.191272 | − | 0.165738i | ||||
\(459\) | − | 165876.i | − | 0.787331i | ||||||
\(460\) | 58109.8 | + | 14738.4i | 0.274621 | + | 0.0696520i | ||||
\(461\) | −267210. | −1.25734 | −0.628668 | − | 0.777674i | \(-0.716400\pi\) | ||||
−0.628668 | + | 0.777674i | \(0.716400\pi\) | |||||||
\(462\) | −15033.0 | − | 17349.0i | −0.0704307 | − | 0.0812813i | ||||
\(463\) | −1921.92 | − | 1235.14i | −0.00896546 | − | 0.00576175i | 0.536150 | − | 0.844122i | \(-0.319878\pi\) |
−0.545116 | + | 0.838361i | \(0.683514\pi\) | |||||||
\(464\) | 6787.09 | − | 47205.2i | 0.0315244 | − | 0.219257i | ||||
\(465\) | −105181. | − | 48034.4i | −0.486441 | − | 0.222150i | ||||
\(466\) | 12287.4 | + | 85461.0i | 0.0565835 | + | 0.393547i | ||||
\(467\) | −40238.5 | + | 137040.i | −0.184505 | + | 0.628367i | 0.814343 | + | 0.580384i | \(0.197097\pi\) |
−0.998848 | + | 0.0479828i | \(0.984721\pi\) | |||||||
\(468\) | 291829. | − | 187547.i | 1.33240 | − | 0.856284i | ||||
\(469\) | 11323.4 | + | 24794.8i | 0.0514791 | + | 0.112723i | ||||
\(470\) | 1566.72 | + | 5335.76i | 0.00709245 | + | 0.0241547i | ||||
\(471\) | −102471. | − | 88791.6i | −0.461912 | − | 0.400249i | ||||
\(472\) | 95881.3 | − | 110653.i | 0.430378 | − | 0.496682i | ||||
\(473\) | −253223. | + | 74353.0i | −1.13183 | + | 0.332335i | ||||
\(474\) | 34964.3 | − | 15967.7i | 0.155621 | − | 0.0710698i | ||||
\(475\) | −153552. | − | 238931.i | −0.680561 | − | 1.05897i | ||||
\(476\) | 6223.68 | + | 1827.44i | 0.0274684 | + | 0.00806545i | ||||
\(477\) | −217037. | + | 31205.2i | −0.953887 | + | 0.137148i | ||||
\(478\) | −66484.6 | + | 145581.i | −0.290982 | + | 0.637161i | ||||
\(479\) | −62624.2 | − | 9004.01i | −0.272943 | − | 0.0392432i | 0.00448434 | − | 0.999990i | \(-0.498573\pi\) |
−0.277427 | + | 0.960747i | \(0.589482\pi\) | |||||||
\(480\) | 81236.3 | − | 126406.i | 0.352588 | − | 0.548638i | ||||
\(481\) | 260398. | − | 225636.i | 1.12551 | − | 0.975256i | ||||
\(482\) | − | 130743.i | − | 0.562763i | ||||||
\(483\) | −30008.6 | − | 17743.8i | −0.128633 | − | 0.0760595i | ||||
\(484\) | 233804. | 0.998069 | ||||||||
\(485\) | −46672.6 | − | 53863.0i | −0.198417 | − | 0.228985i | ||||
\(486\) | 15018.0 | + | 9651.48i | 0.0635827 | + | 0.0408621i | ||||
\(487\) | 38253.0 | − | 266055.i | 0.161290 | − | 1.12180i | −0.734916 | − | 0.678158i | \(-0.762778\pi\) |
0.896206 | − | 0.443638i | \(-0.146313\pi\) | |||||||
\(488\) | −41333.1 | − | 18876.2i | −0.173563 | − | 0.0792637i | ||||
\(489\) | 33960.8 | + | 236203.i | 0.142024 | + | 0.987795i | ||||
\(490\) | 11693.1 | − | 39823.1i | 0.0487010 | − | 0.165860i | ||||
\(491\) | −178630. | + | 114798.i | −0.740952 | + | 0.476181i | −0.855868 | − | 0.517194i | \(-0.826977\pi\) |
0.114916 | + | 0.993375i | \(0.463340\pi\) | |||||||
\(492\) | −240265. | − | 526106.i | −0.992567 | − | 2.17342i | ||||
\(493\) | 17587.7 | + | 59898.3i | 0.0723629 | + | 0.246446i | ||||
\(494\) | 127656. | + | 110614.i | 0.523102 | + | 0.453270i | ||||
\(495\) | −181763. | + | 209765.i | −0.741813 | + | 0.856097i | ||||
\(496\) | 73612.0 | − | 21614.4i | 0.299216 | − | 0.0878578i | ||||
\(497\) | 796.259 | − | 363.639i | 0.00322360 | − | 0.00147217i | ||||
\(498\) | 79022.6 | + | 122962.i | 0.318634 | + | 0.495805i | ||||
\(499\) | −221630. | − | 65076.5i | −0.890077 | − | 0.261350i | −0.195444 | − | 0.980715i | \(-0.562615\pi\) |
−0.694633 | + | 0.719365i | \(0.744433\pi\) | |||||||
\(500\) | 130818. | − | 18808.8i | 0.523271 | − | 0.0752350i | ||||
\(501\) | −37662.9 | + | 82470.2i | −0.150051 | + | 0.328565i | ||||
\(502\) | 100542. | + | 14455.7i | 0.398969 | + | 0.0573631i | ||||
\(503\) | −136582. | + | 212525.i | −0.539829 | + | 0.839990i | −0.998826 | − | 0.0484478i | \(-0.984573\pi\) |
0.458997 | + | 0.888438i | \(0.348209\pi\) | |||||||
\(504\) | −28358.8 | + | 24573.1i | −0.111642 | + | 0.0967382i | ||||
\(505\) | 15201.0i | 0.0596059i | ||||||||
\(506\) | −174752. | + | 58456.0i | −0.682531 | + | 0.228312i | ||||
\(507\) | −1006.87 | −0.00391703 | ||||||||
\(508\) | 214958. | + | 248075.i | 0.832963 | + | 0.961291i | ||||
\(509\) | 129909. | + | 83487.3i | 0.501422 | + | 0.322244i | 0.766785 | − | 0.641904i | \(-0.221855\pi\) |
−0.265363 | + | 0.964149i | \(0.585492\pi\) | |||||||
\(510\) | −4858.68 | + | 33792.9i | −0.0186800 | + | 0.129923i | ||||
\(511\) | 2674.01 | + | 1221.18i | 0.0102405 | + | 0.00467668i | ||||
\(512\) | 25913.7 | + | 180234.i | 0.0988531 | + | 0.687538i | ||||
\(513\) | 196440. | − | 669013.i | 0.746441 | − | 2.54214i | ||||
\(514\) | 96980.6 | − | 62325.7i | 0.367078 | − | 0.235907i | ||||
\(515\) | −43330.5 | − | 94880.5i | −0.163373 | − | 0.357736i | ||||
\(516\) | 78951.4 | + | 268884.i | 0.296524 | + | 1.00987i | ||||
\(517\) | 44189.9 | + | 38290.7i | 0.165326 | + | 0.143256i | ||||
\(518\) | −10647.3 | + | 12287.7i | −0.0396808 | + | 0.0457941i | ||||
\(519\) | −123299. | + | 36203.8i | −0.457745 | + | 0.134406i | ||||
\(520\) | −76060.7 | + | 34735.8i | −0.281290 | + | 0.128461i | ||||
\(521\) | 127223. | + | 197962.i | 0.468694 | + | 0.729302i | 0.992461 | − | 0.122559i | \(-0.0391102\pi\) |
−0.523767 | + | 0.851861i | \(0.675474\pi\) | |||||||
\(522\) | −151162. | − | 44385.1i | −0.554755 | − | 0.162891i | ||||
\(523\) | 226092. | − | 32507.1i | 0.826573 | − | 0.118843i | 0.283971 | − | 0.958833i | \(-0.408348\pi\) |
0.542602 | + | 0.839990i | \(0.317439\pi\) | |||||||
\(524\) | 10250.5 | − | 22445.5i | 0.0373322 | − | 0.0817461i | ||||
\(525\) | −35303.9 | − | 5075.94i | −0.128087 | − | 0.0184161i | ||||
\(526\) | 127275. | − | 198044.i | 0.460014 | − | 0.715796i | ||||
\(527\) | −75897.0 | + | 65765.1i | −0.273277 | + | 0.236796i | ||||
\(528\) | − | 274232.i | − | 0.983672i | ||||||
\(529\) | −223518. | + | 168377.i | −0.798730 | + | 0.601689i | ||||
\(530\) | 23056.5 | 0.0820808 | ||||||||
\(531\) | 294090. | + | 339398.i | 1.04302 | + | 1.20371i | ||||
\(532\) | 22937.3 | + | 14740.9i | 0.0810437 | + | 0.0520836i | ||||
\(533\) | −71627.9 | + | 498183.i | −0.252132 | + | 1.75362i | ||||
\(534\) | −264939. | − | 120993.i | −0.929101 | − | 0.424306i | ||||
\(535\) | −5144.66 | − | 35781.9i | −0.0179742 | − | 0.125013i | ||||
\(536\) | 98803.6 | − | 336494.i | 0.343909 | − | 1.17125i | ||||
\(537\) | 388781. | − | 249854.i | 1.34821 | − | 0.866439i | ||||
\(538\) | 61289.9 | + | 134206.i | 0.211750 | + | 0.463668i | ||||
\(539\) | −122948. | − | 418721.i | −0.423197 | − | 1.44128i | ||||
\(540\) | 113796. | + | 98604.5i | 0.390246 | + | 0.338150i | ||||
\(541\) | −329198. | + | 379915.i | −1.12477 | + | 1.29805i | −0.175183 | + | 0.984536i | \(0.556052\pi\) |
−0.949584 | + | 0.313514i | \(0.898494\pi\) | |||||||
\(542\) | 75143.9 | − | 22064.2i | 0.255797 | − | 0.0751087i | ||||
\(543\) | −734275. | + | 335332.i | −2.49034 | + | 1.13730i | ||||
\(544\) | −70554.8 | − | 109785.i | −0.238412 | − | 0.370977i | ||||
\(545\) | 153273. | + | 45005.0i | 0.516027 | + | 0.151519i | ||||
\(546\) | 20996.1 | − | 3018.79i | 0.0704294 | − | 0.0101262i | ||||
\(547\) | 178711. | − | 391322.i | 0.597277 | − | 1.30785i | −0.333667 | − | 0.942691i | \(-0.608286\pi\) |
0.930944 | − | 0.365163i | \(-0.118987\pi\) | |||||||
\(548\) | −182806. | − | 26283.6i | −0.608737 | − | 0.0875232i | ||||
\(549\) | 75350.7 | − | 117248.i | 0.250002 | − | 0.389010i | ||||
\(550\) | −142478. | + | 123457.i | −0.471000 | + | 0.408124i | ||||
\(551\) | 262412.i | 0.864331i | ||||||||
\(552\) | 142288. | + | 425366.i | 0.466971 | + | 1.39600i | ||||
\(553\) | −5399.30 | −0.0176558 | ||||||||
\(554\) | 177745. | + | 205128.i | 0.579131 | + | 0.668353i | ||||
\(555\) | 246265. | + | 158265.i | 0.799497 | + | 0.513806i | ||||
\(556\) | −9232.96 | + | 64216.7i | −0.0298670 | + | 0.207730i | ||||
\(557\) | 397413. | + | 181492.i | 1.28095 | + | 0.584989i | 0.935459 | − | 0.353434i | \(-0.114986\pi\) |
0.345488 | + | 0.938423i | \(0.387713\pi\) | |||||||
\(558\) | −36068.1 | − | 250859.i | −0.115839 | − | 0.805679i | ||||
\(559\) | 68704.3 | − | 233985.i | 0.219867 | − | 0.748799i | ||||
\(560\) | −3082.00 | + | 1980.68i | −0.00982782 | + | 0.00631596i | ||||
\(561\) | 149121. | + | 326530.i | 0.473821 | + | 1.03752i | ||||
\(562\) | 21859.8 | + | 74447.6i | 0.0692108 | + | 0.235710i | ||||
\(563\) | −219043. | − | 189801.i | −0.691054 | − | 0.598801i | 0.236884 | − | 0.971538i | \(-0.423874\pi\) |
−0.927937 | + | 0.372737i | \(0.878419\pi\) | |||||||
\(564\) | 40658.9 | − | 46922.8i | 0.127819 | − | 0.147512i | ||||
\(565\) | −81518.3 | + | 23935.9i | −0.255363 | + | 0.0749813i | ||||
\(566\) | −73880.5 | + | 33740.1i | −0.230620 | + | 0.105321i | ||||
\(567\) | −16904.6 | − | 26304.1i | −0.0525823 | − | 0.0818196i | ||||
\(568\) | −10806.2 | − | 3172.98i | −0.0334946 | − | 0.00983491i | ||||
\(569\) | 169025. | − | 24302.1i | 0.522067 | − | 0.0750619i | 0.123757 | − | 0.992313i | \(-0.460506\pi\) |
0.398310 | + | 0.917251i | \(0.369597\pi\) | |||||||
\(570\) | −59615.7 | + | 130540.i | −0.183489 | + | 0.401786i | ||||
\(571\) | 238878. | + | 34345.4i | 0.732661 | + | 0.105341i | 0.498540 | − | 0.866867i | \(-0.333870\pi\) |
0.234121 | + | 0.972207i | \(0.424779\pi\) | |||||||
\(572\) | −207356. | + | 322652.i | −0.633758 | + | 0.986147i | ||||
\(573\) | 512337. | − | 443942.i | 1.56044 | − | 1.35213i | ||||
\(574\) | − | 23750.0i | − | 0.0720842i | ||||||
\(575\) | −145720. | + | 246444.i | −0.440741 | + | 0.745388i | ||||
\(576\) | 76627.0 | 0.230960 | ||||||||
\(577\) | −229944. | − | 265370.i | −0.690670 | − | 0.797076i | 0.296790 | − | 0.954943i | \(-0.404084\pi\) |
−0.987460 | + | 0.157867i | \(0.949538\pi\) | |||||||
\(578\) | −108726. | − | 69873.8i | −0.325445 | − | 0.209151i | ||||
\(579\) | 77795.2 | − | 541077.i | 0.232057 | − | 1.61400i | ||||
\(580\) | −51547.1 | − | 23540.7i | −0.153231 | − | 0.0699784i | ||||
\(581\) | −2921.94 | − | 20322.5i | −0.00865602 | − | 0.0602040i | ||||
\(582\) | 65535.9 | − | 223195.i | 0.193479 | − | 0.658928i | ||||
\(583\) | 203943. | − | 131067.i | 0.600030 | − | 0.385616i | ||||
\(584\) | −15711.6 | − | 34403.7i | −0.0460676 | − | 0.100874i | ||||
\(585\) | −72256.8 | − | 246084.i | −0.211138 | − | 0.719071i | ||||
\(586\) | −9198.64 | − | 7970.67i | −0.0267873 | − | 0.0232113i | ||||
\(587\) | −195549. | + | 225675.i | −0.567517 | + | 0.654950i | −0.964874 | − | 0.262715i | \(-0.915382\pi\) |
0.397356 | + | 0.917664i | \(0.369928\pi\) | |||||||
\(588\) | −444617. | + | 130551.i | −1.28597 | + | 0.377595i | ||||
\(589\) | −383992. | + | 175363.i | −1.10686 | + | 0.505485i | ||||
\(590\) | −25530.3 | − | 39726.0i | −0.0733420 | − | 0.114122i | ||||
\(591\) | −581845. | − | 170845.i | −1.66584 | − | 0.489133i | ||||
\(592\) | −192251. | + | 27641.6i | −0.548563 | + | 0.0788714i | ||||
\(593\) | 13311.5 | − | 29148.1i | 0.0378545 | − | 0.0828897i | −0.889760 | − | 0.456428i | \(-0.849128\pi\) |
0.927615 | + | 0.373539i | \(0.121856\pi\) | |||||||
\(594\) | −458113. | − | 65866.7i | −1.29837 | − | 0.186678i | ||||
\(595\) | 2592.72 | − | 4034.34i | 0.00732354 | − | 0.0113956i | ||||
\(596\) | −192969. | + | 167209.i | −0.543245 | + | 0.470725i | ||||
\(597\) | − | 1.10854e6i | − | 3.11029i | ||||||
\(598\) | 41860.4 | − | 165045.i | 0.117058 | − | 0.461531i | ||||
\(599\) | 681573. | 1.89959 | 0.949793 | − | 0.312880i | \(-0.101294\pi\) | ||||
0.949793 | + | 0.312880i | \(0.101294\pi\) | |||||||
\(600\) | 300508. | + | 346805.i | 0.834746 | + | 0.963348i | ||||
\(601\) | −396828. | − | 255026.i | −1.09864 | − | 0.706050i | −0.139848 | − | 0.990173i | \(-0.544661\pi\) |
−0.958788 | + | 0.284123i | \(0.908298\pi\) | |||||||
\(602\) | −1637.68 | + | 11390.3i | −0.00451893 | + | 0.0314299i | ||||
\(603\) | 978471. | + | 446853.i | 2.69100 | + | 1.22894i | ||||
\(604\) | 5759.34 | + | 40057.1i | 0.0157870 | + | 0.109801i | ||||
\(605\) | 48700.0 | − | 165857.i | 0.133051 | − | 0.453130i | ||||
\(606\) | −41737.7 | + | 26823.2i | −0.113654 | + | 0.0730408i | ||||
\(607\) | 18713.0 | + | 40975.8i | 0.0507887 | + | 0.111212i | 0.933325 | − | 0.359032i | \(-0.116893\pi\) |
−0.882536 | + | 0.470244i | \(0.844166\pi\) | |||||||
\(608\) | −154549. | − | 526345.i | −0.418079 | − | 1.42385i | ||||
\(609\) | 24904.7 | + | 21580.1i | 0.0671502 | + | 0.0581859i | ||||
\(610\) | −9597.18 | + | 11075.7i | −0.0257919 | + | 0.0297655i | ||||
\(611\) | −51840.9 | + | 15221.9i | −0.138864 | + | 0.0407742i | ||||
\(612\) | 232841. | − | 106335.i | 0.621665 | − | 0.283905i | ||||
\(613\) | 144150. | + | 224301.i | 0.383613 | + | 0.596913i | 0.978337 | − | 0.207016i | \(-0.0663753\pi\) |
−0.594725 | + | 0.803929i | \(0.702739\pi\) | |||||||
\(614\) | −167552. | − | 49197.6i | −0.444438 | − | 0.130499i | ||||
\(615\) | −423258. | + | 60855.3i | −1.11906 | + | 0.160897i | ||||
\(616\) | 17234.5 | − | 37738.3i | 0.0454189 | − | 0.0994536i | ||||
\(617\) | −318666. | − | 45817.3i | −0.837077 | − | 0.120353i | −0.289572 | − | 0.957156i | \(-0.593513\pi\) |
−0.547505 | + | 0.836803i | \(0.684422\pi\) | |||||||
\(618\) | 184056. | − | 286397.i | 0.481917 | − | 0.749878i | ||||
\(619\) | 180851. | − | 156708.i | 0.471997 | − | 0.408988i | −0.386115 | − | 0.922451i | \(-0.626183\pi\) |
0.858112 | + | 0.513463i | \(0.171638\pi\) | |||||||
\(620\) | − | 91161.6i | − | 0.237153i | ||||||
\(621\) | −691508. | + | 125839.i | −1.79314 | + | 0.326310i | ||||
\(622\) | 55808.3 | 0.144251 | ||||||||
\(623\) | 26792.1 | + | 30919.7i | 0.0690288 | + | 0.0796635i | ||||
\(624\) | 213172. | + | 136998.i | 0.547472 | + | 0.351839i | ||||
\(625\) | −34233.3 | + | 238098.i | −0.0876372 | + | 0.609530i | ||||
\(626\) | −75362.3 | − | 34416.8i | −0.192312 | − | 0.0878258i | ||||
\(627\) | 214743. | + | 1.49357e6i | 0.546240 | + | 3.79918i | ||||
\(628\) | 30116.3 | − | 102567.i | 0.0763629 | − | 0.260068i | ||||
\(629\) | 213885. | − | 137455.i | 0.540603 | − | 0.347424i | ||||
\(630\) | 5027.54 | + | 11008.8i | 0.0126670 | + | 0.0277369i | ||||
\(631\) | 183422. | + | 624677.i | 0.460672 | + | 1.56891i | 0.782840 | + | 0.622223i | \(0.213770\pi\) |
−0.322168 | + | 0.946682i | \(0.604412\pi\) | |||||||
\(632\) | 52499.7 | + | 45491.3i | 0.131439 | + | 0.113892i | ||||
\(633\) | −43976.9 | + | 50752.1i | −0.109753 | + | 0.126662i | ||||
\(634\) | −81291.6 | + | 23869.4i | −0.202240 | + | 0.0593830i | ||||
\(635\) | 220755. | − | 100815.i | 0.547474 | − | 0.250023i | ||||
\(636\) | −139172. | − | 216557.i | −0.344064 | − | 0.535374i | ||||
\(637\) | 386910. | + | 113607.i | 0.953524 | + | 0.279980i | ||||
\(638\) | 172410. | − | 24788.8i | 0.423566 | − | 0.0608997i | ||||
\(639\) | 14350.2 | − | 31422.6i | 0.0351445 | − | 0.0769557i | ||||
\(640\) | 143560. | + | 20640.8i | 0.350489 | + | 0.0503926i | ||||
\(641\) | 330949. | − | 514967.i | 0.805462 | − | 1.25332i | −0.158520 | − | 0.987356i | \(-0.550672\pi\) |
0.963982 | − | 0.265968i | \(-0.0856914\pi\) | |||||||
\(642\) | 89169.0 | − | 77265.4i | 0.216343 | − | 0.187463i | ||||
\(643\) | 69578.6i | 0.168288i | 0.996454 | + | 0.0841441i | \(0.0268156\pi\) | ||||
−0.996454 | + | 0.0841441i | \(0.973184\pi\) | |||||||
\(644\) | 2896.80 | − | 27331.9i | 0.00698468 | − | 0.0659018i | ||||
\(645\) | 207187. | 0.498017 | ||||||||
\(646\) | 81621.4 | + | 94196.1i | 0.195587 | + | 0.225719i | ||||
\(647\) | 632420. | + | 406432.i | 1.51077 | + | 0.970911i | 0.993345 | + | 0.115180i | \(0.0367445\pi\) |
0.517422 | + | 0.855731i | \(0.326892\pi\) | |||||||
\(648\) | −57251.7 | + | 398194.i | −0.136345 | + | 0.948299i | ||||
\(649\) | −451651. | − | 206262.i | −1.07229 | − | 0.489700i | ||||
\(650\) | −24791.6 | − | 172429.i | −0.0586783 | − | 0.408117i | ||||
\(651\) | −14935.3 | + | 50865.0i | −0.0352413 | + | 0.120021i | ||||
\(652\) | −158269. | + | 101713.i | −0.372307 | + | 0.239267i | ||||
\(653\) | −95903.0 | − | 209998.i | −0.224909 | − | 0.492481i | 0.763215 | − | 0.646145i | \(-0.223620\pi\) |
−0.988123 | + | 0.153664i | \(0.950893\pi\) | |||||||
\(654\) | 146889. | + | 500259.i | 0.343427 | + | 1.16961i | ||||
\(655\) | −13787.4 | − | 11946.9i | −0.0321366 | − | 0.0278465i | ||||
\(656\) | 185795. | − | 214419.i | 0.431744 | − | 0.498259i | ||||
\(657\) | 111308. | − | 32683.1i | 0.257868 | − | 0.0757168i | ||||
\(658\) | 2319.15 | − | 1059.12i | 0.00535644 | − | 0.00244620i | ||||
\(659\) | −303229. | − | 471833.i | −0.698231 | − | 1.08647i | −0.991458 | − | 0.130426i | \(-0.958365\pi\) |
0.293227 | − | 0.956043i | \(-0.405271\pi\) | |||||||
\(660\) | −312655. | − | 91803.7i | −0.717756 | − | 0.210752i | ||||
\(661\) | −615092. | + | 88436.9i | −1.40779 | + | 0.202409i | −0.803950 | − | 0.594697i | \(-0.797272\pi\) |
−0.603838 | + | 0.797107i | \(0.706363\pi\) | |||||||
\(662\) | −25170.6 | + | 55116.0i | −0.0574352 | + | 0.125766i | ||||
\(663\) | −328323. | − | 47205.7i | −0.746919 | − | 0.107391i | ||||
\(664\) | −142814. | + | 222223.i | −0.323918 | + | 0.504026i | ||||
\(665\) | 15234.7 | − | 13201.0i | 0.0344501 | − | 0.0298512i | ||||
\(666\) | 641623.i | 1.44654i | ||||||||
\(667\) | 236364. | − | 118761.i | 0.531287 | − | 0.266946i | ||||
\(668\) | −71478.1 | −0.160184 | ||||||||
\(669\) | −333531. | − | 384915.i | −0.745218 | − | 0.860027i | ||||
\(670\) | −95153.6 | − | 61151.5i | −0.211971 | − | 0.136225i | ||||
\(671\) | −21929.8 | + | 152525.i | −0.0487068 | + | 0.338763i | ||||
\(672\) | −62663.5 | − | 28617.5i | −0.138764 | − | 0.0633713i | ||||
\(673\) | 28285.7 | + | 196731.i | 0.0624506 | + | 0.434353i | 0.996928 | + | 0.0783295i | \(0.0249586\pi\) |
−0.934477 | + | 0.356024i | \(0.884132\pi\) | |||||||
\(674\) | 24786.9 | − | 84416.5i | 0.0545635 | − | 0.185826i | ||||
\(675\) | −604939. | + | 388771.i | −1.32771 | + | 0.853270i | ||||
\(676\) | −329.759 | − | 722.071i | −0.000721611 | − | 0.00158011i | ||||
\(677\) | −108362. | − | 369046.i | −0.236428 | − | 0.805199i | −0.989156 | − | 0.146868i | \(-0.953081\pi\) |
0.752728 | − | 0.658331i | \(-0.228737\pi\) | |||||||
\(678\) | −209566. | − | 181590.i | −0.455891 | − | 0.395032i | ||||
\(679\) | −21397.8 | + | 24694.4i | −0.0464119 | + | 0.0535622i | ||||
\(680\) | −59201.0 | + | 17383.0i | −0.128030 | + | 0.0375930i | ||||
\(681\) | 890070. | − | 406481.i | 1.91924 | − | 0.876489i | ||||
\(682\) | 151492. | + | 235726.i | 0.325701 | + | 0.506801i | ||||
\(683\) | −166766. | − | 48966.8i | −0.357491 | − | 0.104969i | 0.0980550 | − | 0.995181i | \(-0.468738\pi\) |
−0.455546 | + | 0.890212i | \(0.650556\pi\) | |||||||
\(684\) | 1.06503e6 | − | 153128.i | 2.27640 | − | 0.327297i | ||||
\(685\) | −56722.7 | + | 124205.i | −0.120886 | + | 0.264703i | ||||
\(686\) | −37808.4 | − | 5436.03i | −0.0803416 | − | 0.0115514i | ||||
\(687\) | −236921. | + | 368657.i | −0.501985 | + | 0.781104i | ||||
\(688\) | −103891. | + | 90022.1i | −0.219483 | + | 0.190183i | ||||
\(689\) | 224011.i | 0.471879i | ||||||||
\(690\) | 144563. | − | 5381.33i | 0.303640 | − | 0.0113029i | ||||
\(691\) | −296953. | −0.621916 | −0.310958 | − | 0.950424i | \(-0.600650\pi\) | ||||
−0.310958 | + | 0.950424i | \(0.600650\pi\) | |||||||
\(692\) | −66344.9 | − | 76566.1i | −0.138546 | − | 0.159891i | ||||
\(693\) | 107051. | + | 68797.4i | 0.222907 | + | 0.143254i | ||||
\(694\) | 10184.2 | − | 70832.5i | 0.0211450 | − | 0.147066i | ||||
\(695\) | 43631.2 | + | 19925.7i | 0.0903291 | + | 0.0412519i | ||||
\(696\) | −60338.6 | − | 419664.i | −0.124560 | − | 0.866331i | ||||
\(697\) | −104631. | + | 356342.i | −0.215376 | + | 0.733502i | ||||
\(698\) | −172736. | + | 111010.i | −0.354545 | + | 0.227852i | ||||
\(699\) | −296064. | − | 648290.i | −0.605942 | − | 1.32683i | ||||
\(700\) | −7922.18 | − | 26980.5i | −0.0161677 | − | 0.0550622i | ||||
\(701\) | 280057. | + | 242670.i | 0.569914 | + | 0.493834i | 0.891484 | − | 0.453052i | \(-0.149665\pi\) |
−0.321570 | + | 0.946886i | \(0.604210\pi\) | |||||||
\(702\) | 280060. | − | 323206.i | 0.568298 | − | 0.655851i | ||||
\(703\) | 1.02543e6 | − | 301093.i | 2.07489 | − | 0.609241i | ||||
\(704\) | −77064.3 | + | 35194.1i | −0.155492 | + | 0.0710108i | ||||
\(705\) | −24817.4 | − | 38616.6i | −0.0499318 | − | 0.0776954i | ||||
\(706\) | −177471. | − | 52110.2i | −0.356056 | − | 0.104547i | ||||
\(707\) | 6898.21 | − | 991.813i | 0.0138006 | − | 0.00198423i | ||||
\(708\) | −219019. | + | 479584.i | −0.436933 | + | 0.956749i | ||||
\(709\) | 31051.3 | + | 4464.50i | 0.0617714 | + | 0.00888138i | 0.173131 | − | 0.984899i | \(-0.444612\pi\) |
−0.111360 | + | 0.993780i | \(0.535521\pi\) | |||||||
\(710\) | −1963.82 | + | 3055.76i | −0.00389570 | + | 0.00606182i | ||||
\(711\) | −161029. | + | 139532.i | −0.318540 | + | 0.276017i | ||||
\(712\) | − | 526380.i | − | 1.03834i | ||||||
\(713\) | 331742. | + | 266510.i | 0.652561 | + | 0.524246i | ||||
\(714\) | 15652.2 | 0.0307029 | ||||||||
\(715\) | 185693. | + | 214302.i | 0.363232 | + | 0.419192i | ||||
\(716\) | 306511. | + | 196983.i | 0.597889 | + | 0.384240i | ||||
\(717\) | 188010. | − | 1.30764e6i | 0.365715 | − | 2.54360i | ||||
\(718\) | 46220.8 | + | 21108.3i | 0.0896579 | + | 0.0409454i | ||||
\(719\) | −133751. | − | 930256.i | −0.258725 | − | 1.79947i | −0.541943 | − | 0.840415i | \(-0.682311\pi\) |
0.283218 | − | 0.959055i | \(-0.408598\pi\) | |||||||
\(720\) | −40731.6 | + | 138719.i | −0.0785718 | + | 0.267591i | ||||
\(721\) | −40229.6 | + | 25854.0i | −0.0773883 | + | 0.0497344i | ||||
\(722\) | 114651. | + | 251051.i | 0.219940 | + | 0.481602i | ||||
\(723\) | 304052. | + | 1.03551e6i | 0.581663 | + | 1.98096i | ||||
\(724\) | −480964. | − | 416758.i | −0.917562 | − | 0.795072i | ||||
\(725\) | 177225. | − | 204528.i | 0.337170 | − | 0.389114i | ||||
\(726\) | 541332. | − | 158949.i | 1.02705 | − | 0.301568i | ||||
\(727\) | −564117. | + | 257624.i | −1.06733 | + | 0.487435i | −0.870077 | − | 0.492916i | \(-0.835931\pi\) |
−0.197258 | + | 0.980352i | \(0.563204\pi\) | |||||||
\(728\) | 20725.8 | + | 32250.0i | 0.0391064 | + | 0.0608508i | ||||
\(729\) | 437679. | + | 128514.i | 0.823570 | + | 0.241822i | ||||
\(730\) | −12074.2 | + | 1736.01i | −0.0226576 | + | 0.00325767i | ||||
\(731\) | 74751.9 | − | 163684.i | 0.139890 | − | 0.306317i | ||||
\(732\) | 161958. | + | 23286.1i | 0.302260 | + | 0.0434584i | ||||
\(733\) | −21722.8 | + | 33801.4i | −0.0404304 | + | 0.0629109i | −0.860880 | − | 0.508807i | \(-0.830087\pi\) |
0.820450 | + | 0.571718i | \(0.193723\pi\) | |||||||
\(734\) | −316150. | + | 273945.i | −0.586814 | + | 0.508477i | ||||
\(735\) | 342598.i | 0.634176i | ||||||||
\(736\) | −404152. | + | 377418.i | −0.746087 | + | 0.696735i | ||||
\(737\) | −1.18929e6 | −2.18954 | ||||||||
\(738\) | −613763. | − | 708321.i | −1.12691 | − | 1.30052i | ||||
\(739\) | −467858. | − | 300674.i | −0.856692 | − | 0.550563i | 0.0369630 | − | 0.999317i | \(-0.488232\pi\) |
−0.893655 | + | 0.448754i | \(0.851868\pi\) | |||||||
\(740\) | −32844.9 | + | 228441.i | −0.0599797 | + | 0.417168i | ||||
\(741\) | −1.26829e6 | − | 579210.i | −2.30985 | − | 1.05487i | ||||
\(742\) | −1504.36 | − | 10463.0i | −0.00273239 | − | 0.0190042i | ||||
\(743\) | 125935. | − | 428895.i | 0.228123 | − | 0.776914i | −0.763280 | − | 0.646068i | \(-0.776412\pi\) |
0.991403 | − | 0.130847i | \(-0.0417695\pi\) | |||||||
\(744\) | 573780. | − | 368746.i | 1.03657 | − | 0.666165i | ||||
\(745\) | 78421.2 | + | 171718.i | 0.141293 | + | 0.309389i | ||||
\(746\) | −74254.7 | − | 252888.i | −0.133428 | − | 0.454413i | ||||
\(747\) | −612331. | − | 530588.i | −1.09735 | − | 0.950860i | ||||
\(748\) | −185331. | + | 213884.i | −0.331242 | + | 0.382274i | ||||
\(749\) | −15902.1 | + | 4669.29i | −0.0283460 | + | 0.00832314i | ||||
\(750\) | 290099. | − | 132484.i | 0.515731 | − | 0.235526i | ||||
\(751\) | 169199. | + | 263279.i | 0.299998 | + | 0.466806i | 0.958226 | − | 0.286013i | \(-0.0923300\pi\) |
−0.658228 | + | 0.752819i | \(0.728694\pi\) | |||||||
\(752\) | 29223.0 | + | 8580.66i | 0.0516761 | + | 0.0151735i | ||||
\(753\) | −829924. | + | 119325.i | −1.46369 | + | 0.210447i | ||||
\(754\) | −66861.2 | + | 146406.i | −0.117607 | + | 0.257522i | ||||
\(755\) | 29615.6 | + | 4258.08i | 0.0519549 | + | 0.00746998i | ||||
\(756\) | 37321.9 | − | 58074.0i | 0.0653011 | − | 0.101610i | ||||
\(757\) | −141538. | + | 122643.i | −0.246991 | + | 0.214019i | −0.769554 | − | 0.638582i | \(-0.779521\pi\) |
0.522563 | + | 0.852601i | \(0.324976\pi\) | |||||||
\(758\) | − | 142661.i | − | 0.248294i | ||||||
\(759\) | 1.24812e6 | − | 869379.i | 2.16658 | − | 1.50913i | ||||
\(760\) | −259357. | −0.449025 | ||||||||
\(761\) | 475001. | + | 548180.i | 0.820210 | + | 0.946573i | 0.999306 | − | 0.0372589i | \(-0.0118626\pi\) |
−0.179096 | + | 0.983832i | \(0.557317\pi\) | |||||||
\(762\) | 666348. | + | 428236.i | 1.14760 | + | 0.737519i | ||||
\(763\) | 10422.7 | − | 72491.7i | 0.0179033 | − | 0.124520i | ||||
\(764\) | 486167. | + | 222025.i | 0.832911 | + | 0.380378i | ||||
\(765\) | −26933.0 | − | 187323.i | −0.0460216 | − | 0.320087i | ||||
\(766\) | −79863.6 | + | 271991.i | −0.136110 | + | 0.463550i | ||||
\(767\) | 385967. | − | 248046.i | 0.656084 | − | 0.421640i | ||||
\(768\) | 244943. | + | 536350.i | 0.415281 | + | 0.909339i | ||||
\(769\) | 224445. | + | 764388.i | 0.379539 | + | 1.29259i | 0.898944 | + | 0.438063i | \(0.144335\pi\) |
−0.519405 | + | 0.854528i | \(0.673846\pi\) | |||||||
\(770\) | −10112.5 | − | 8762.50i | −0.0170559 | − | 0.0147791i | ||||
\(771\) | −623159. | + | 719164.i | −1.04831 | + | 1.20982i | ||||
\(772\) | 413510. | − | 121417.i | 0.693827 | − | 0.203726i | ||||
\(773\) | 199664. | − | 91183.3i | 0.334149 | − | 0.152601i | −0.241273 | − | 0.970457i | \(-0.577565\pi\) |
0.575422 | + | 0.817857i | \(0.304838\pi\) | |||||||
\(774\) | 245514. | + | 382027.i | 0.409821 | + | 0.637693i | ||||
\(775\) | 417725. | + | 122655.i | 0.695484 | + | 0.204213i | ||||
\(776\) | 416120. | − | 59829.0i | 0.691027 | − | 0.0993547i | ||||
\(777\) | 55752.6 | − | 122081.i | 0.0923471 | − | 0.202212i | ||||
\(778\) | 32822.6 | + | 4719.17i | 0.0542267 | + | 0.00779662i | ||||
\(779\) | −844003. | + | 1.31329e6i | −1.39081 | + | 2.16415i | ||||
\(780\) | 227555. | − | 197178.i | 0.374022 | − | 0.324092i | ||||
\(781\) | 38192.9i | 0.0626154i | ||||||||
\(782\) | 47905.9 | − | 116150.i | 0.0783386 | − | 0.189936i | ||||
\(783\) | 664389. | 1.08367 | ||||||||
\(784\) | −148857. | − | 171791.i | −0.242180 | − | 0.279491i | ||||
\(785\) | −66486.3 | − | 42728.2i | −0.107893 | − | 0.0693386i | ||||
\(786\) | 8473.91 | − | 58937.4i | 0.0137164 | − | 0.0953994i | ||||
\(787\) | −209858. | − | 95838.8i | −0.338825 | − | 0.154736i | 0.238734 | − | 0.971085i | \(-0.423267\pi\) |
−0.577559 | + | 0.816349i | \(0.695995\pi\) | |||||||
\(788\) | −68038.9 | − | 473221.i | −0.109573 | − | 0.762099i | ||||
\(789\) | −547473. | + | 1.86452e6i | −0.879446 | + | 2.99512i | ||||
\(790\) | 18848.2 | − | 12113.0i | 0.0302005 | − | 0.0194087i | ||||
\(791\) | 16180.9 | + | 35431.2i | 0.0258613 | + | 0.0566283i | ||||
\(792\) | −461256. | − | 1.57089e6i | −0.735345 | − | 2.50436i | ||||
\(793\) | −107609. | − | 93243.7i | −0.171120 | − | 0.148277i | ||||
\(794\) | 203718. | − | 235103.i | 0.323139 | − | 0.372922i | ||||
\(795\) | −182611. | + | 53619.4i | −0.288930 | + | 0.0848375i | ||||
\(796\) | 794983. | − | 363056.i | 1.25468 | − | 0.572991i | ||||
\(797\) | 308046. | + | 479329.i | 0.484952 | + | 0.754600i | 0.994375 | − | 0.105916i | \(-0.0337775\pi\) |
−0.509423 | + | 0.860516i | \(0.670141\pi\) | |||||||
\(798\) | 63128.8 | + | 18536.3i | 0.0991338 | + | 0.0291083i | ||||
\(799\) | −39462.1 | + | 5673.79i | −0.0618140 | + | 0.00888751i | ||||
\(800\) | −235019. | + | 514619.i | −0.367217 | + | 0.804093i | ||||
\(801\) | 1.59810e6 | + | 229771.i | 2.49079 | + | 0.358122i | ||||
\(802\) | −15188.5 | + | 23633.8i | −0.0236139 | + | 0.0367439i | ||||
\(803\) | −96932.6 | + | 83992.6i | −0.150328 | + | 0.130260i | ||||
\(804\) | 1.26284e6i | 1.95361i | ||||||||
\(805\) | −18785.4 | − | 7748.02i | −0.0289888 | − | 0.0119564i | ||||
\(806\) | −258920. | −0.398562 | ||||||||
\(807\) | −797530. | − | 920399.i | −1.22462 | − | 1.41328i | ||||
\(808\) | −75430.7 | − | 48476.4i | −0.115538 | − | 0.0742519i | ||||
\(809\) | −129991. | + | 904104.i | −0.198616 | + | 1.38141i | 0.609688 | + | 0.792642i | \(0.291295\pi\) |
−0.808304 | + | 0.588765i | \(0.799614\pi\) | |||||||
\(810\) | 118023. | + | 53899.3i | 0.179886 | + | 0.0821511i | ||||
\(811\) | 30383.5 | + | 211322.i | 0.0461951 | + | 0.321294i | 0.999796 | + | 0.0202190i | \(0.00643634\pi\) |
−0.953600 | + | 0.301075i | \(0.902655\pi\) | |||||||
\(812\) | −7319.52 | + | 24928.0i | −0.0111012 | + | 0.0378073i | ||||
\(813\) | −543840. | + | 349504.i | −0.822791 | + | 0.528776i | ||||
\(814\) | −294692. | − | 645285.i | −0.444753 | − | 0.973873i | ||||
\(815\) | 39187.5 | + | 133460.i | 0.0589973 | + | 0.200926i | ||||
\(816\) | 141311. | + | 122446.i | 0.212224 | + | 0.183893i | ||||
\(817\) | 495335. | − | 571647.i | 0.742087 | − | 0.856415i | ||||
\(818\) | −401730. | + | 117959.i | −0.600382 | + | 0.176288i | ||||
\(819\) | −106958. | + | 48846.2i | −0.159458 | + | 0.0728221i | ||||
\(820\) | −182263. | − | 283607.i | −0.271064 | − | 0.421783i | ||||
\(821\) | −393065. | − | 115414.i | −0.583148 | − | 0.171228i | −0.0231646 | − | 0.999732i | \(-0.507374\pi\) |
−0.559983 | + | 0.828504i | \(0.689192\pi\) | |||||||
\(822\) | −441124. | + | 63424.1i | −0.652856 | + | 0.0938665i | ||||
\(823\) | 294050. | − | 643879.i | 0.434132 | − | 0.950615i | −0.558507 | − | 0.829500i | \(-0.688626\pi\) |
0.992638 | − | 0.121116i | \(-0.0386472\pi\) | |||||||
\(824\) | 609000. | + | 87561.0i | 0.896939 | + | 0.128960i | ||||
\(825\) | 841336. | − | 1.30914e6i | 1.23612 | − | 1.92344i | ||||
\(826\) | −16361.9 | + | 14177.6i | −0.0239813 | + | 0.0207799i | ||||
\(827\) | − | 959377.i | − | 1.40274i | −0.712796 | − | 0.701372i | \(-0.752571\pi\) | ||
0.712796 | − | 0.701372i | \(-0.247429\pi\) | |||||||
\(828\) | −619934. | − | 890007.i | −0.904242 | − | 1.29817i | ||||
\(829\) | −612065. | −0.890612 | −0.445306 | − | 0.895379i | \(-0.646905\pi\) | ||||
−0.445306 | + | 0.895379i | \(0.646905\pi\) | |||||||
\(830\) | 55792.2 | + | 64387.7i | 0.0809874 | + | 0.0934645i | ||||
\(831\) | −1.88480e6 | − | 1.21129e6i | −2.72938 | − | 1.75407i | ||||
\(832\) | 11141.0 | − | 77487.3i | 0.0160945 | − | 0.111940i | ||||
\(833\) | 270662. | + | 123607.i | 0.390065 | + | 0.178137i | ||||
\(834\) | 22279.8 | + | 154959.i | 0.0320316 | + | 0.222785i | ||||
\(835\) | −14888.5 | + | 50705.6i | −0.0213539 | + | 0.0727248i | ||||
\(836\) | −1.00078e6 | + | 643160.i | −1.43194 | + | 0.920251i | ||||
\(837\) | 443995. | + | 972214.i | 0.633764 | + | 1.38775i | ||||
\(838\) | 108881. | + | 370814.i | 0.155047 | + | 0.528041i | ||||
\(839\) | 918131. | + | 795565.i | 1.30431 | + | 1.13019i | 0.983078 | + | 0.183190i | \(0.0586422\pi\) |
0.321232 | + | 0.947001i | \(0.395903\pi\) | |||||||
\(840\) | −21328.8 | + | 24614.8i | −0.0302280 | + | 0.0348849i | ||||
\(841\) | 438718. | − | 128819.i | 0.620288 | − | 0.182133i | ||||
\(842\) | 211207. | − | 96455.0i | 0.297909 | − | 0.136051i | ||||
\(843\) | −346266. | − | 538801.i | −0.487253 | − | 0.758181i | ||||
\(844\) | −50799.5 | − | 14916.1i | −0.0713140 | − | 0.0209397i | ||||
\(845\) | −580.914 | + | 83.5228i | −0.000813577 | + | 0.000116975i | ||||
\(846\) | 41795.8 | − | 91520.1i | 0.0583972 | − | 0.127872i | ||||
\(847\) | −78443.4 | − | 11278.5i | −0.109343 | − | 0.0157211i | ||||
\(848\) | 68270.1 | − | 106230.i | 0.0949377 | − | 0.147726i | ||||
\(849\) | 506680. | − | 439041.i | 0.702941 | − | 0.609102i | ||||
\(850\) | − | 128543.i | − | 0.177914i | ||||||
\(851\) | −735288. | − | 787371.i | −1.01531 | − | 1.08723i | ||||
\(852\) | 40555.0 | 0.0558683 | ||||||||
\(853\) | 483667. | + | 558182.i | 0.664735 | + | 0.767145i | 0.983543 | − | 0.180674i | \(-0.0578280\pi\) |
−0.318808 | + | 0.947819i | \(0.603283\pi\) | |||||||
\(854\) | 5652.35 | + | 3632.55i | 0.00775021 | + | 0.00498076i | ||||
\(855\) | 113213. | − | 787411.i | 0.154868 | − | 1.07713i | ||||
\(856\) | 193964. | + | 88580.4i | 0.264712 | + | 0.120890i | ||||
\(857\) | −44524.0 | − | 309671.i | −0.0606223 | − | 0.421637i | −0.997421 | − | 0.0717691i | \(-0.977136\pi\) |
0.936799 | − | 0.349868i | \(-0.113774\pi\) | |||||||
\(858\) | −260744. | + | 888012.i | −0.354193 | + | 1.20627i | ||||
\(859\) | 439534. | − | 282472.i | 0.595671 | − | 0.382814i | −0.207789 | − | 0.978174i | \(-0.566627\pi\) |
0.803460 | + | 0.595359i | \(0.202990\pi\) | |||||||
\(860\) | 67855.8 | + | 148584.i | 0.0917467 | + | 0.200897i | ||||
\(861\) | 55232.3 | + | 188104.i | 0.0745052 | + | 0.253741i | ||||
\(862\) | 425387. | + | 368600.i | 0.572493 | + | 0.496068i | ||||
\(863\) | 181094. | − | 208993.i | 0.243154 | − | 0.280615i | −0.621034 | − | 0.783784i | \(-0.713287\pi\) |
0.864188 | + | 0.503169i | \(0.167833\pi\) | |||||||
\(864\) | −1.33263e6 | + | 391295.i | −1.78518 | + | 0.524176i | ||||
\(865\) | −68134.2 | + | 31115.8i | −0.0910611 | + | 0.0415862i | ||||
\(866\) | −180264. | − | 280496.i | −0.240366 | − | 0.374017i | ||||
\(867\) | 1.02362e6 | + | 300562.i | 1.36176 | + | 0.399849i | ||||
\(868\) | −41369.1 | + | 5947.98i | −0.0549081 | + | 0.00789459i | ||||
\(869\) | 97862.0 | − | 214288.i | 0.129591 | − | 0.283764i | ||||
\(870\) | −135352. | − | 19460.7i | −0.178824 | − | 0.0257111i | ||||
\(871\) | 594132. | − | 924488.i | 0.783153 | − | 1.21861i | ||||
\(872\) | −712116. | + | 617052.i | −0.936522 | + | 0.811501i | ||||
\(873\) | 1.28946e6i | 1.69192i | ||||||||
\(874\) | 330767. | − | 411726.i | 0.433012 | − | 0.538996i | ||||
\(875\) | −44797.9 | −0.0585116 | ||||||||
\(876\) | 89187.2 | + | 102927.i | 0.116224 | + | 0.134129i | ||||
\(877\) | 326501. | + | 209829.i | 0.424507 | + | 0.272814i | 0.735403 | − | 0.677630i | \(-0.236993\pi\) |
−0.310896 | + | 0.950444i | \(0.600629\pi\) | |||||||
\(878\) | 45540.4 | − | 316740.i | 0.0590755 | − | 0.410879i | ||||
\(879\) | 91391.0 | + | 41736.9i | 0.118284 | + | 0.0540184i | ||||
\(880\) | −22748.4 | − | 158219.i | −0.0293755 | − | 0.204311i | ||||
\(881\) | 404874. | − | 1.37888e6i | 0.521637 | − | 1.77653i | −0.101962 | − | 0.994788i | \(-0.532512\pi\) |
0.623599 | − | 0.781744i | \(-0.285670\pi\) | |||||||
\(882\) | −631707. | + | 405973.i | −0.812041 | + | 0.521867i | ||||
\(883\) | −347115. | − | 760075.i | −0.445196 | − | 0.974844i | −0.990615 | − | 0.136680i | \(-0.956357\pi\) |
0.545419 | − | 0.838164i | \(-0.316371\pi\) | |||||||
\(884\) | −73675.4 | − | 250915.i | −0.0942797 | − | 0.321087i | ||||
\(885\) | 294590. | + | 255263.i | 0.376124 | + | 0.325913i | ||||
\(886\) | 81616.4 | − | 94190.3i | 0.103970 | − | 0.119988i | ||||
\(887\) | −1.19888e6 | + | 352024.i | −1.52381 | + | 0.447430i | −0.933148 | − | 0.359492i | \(-0.882950\pi\) |
−0.590658 | + | 0.806922i | \(0.701132\pi\) | |||||||
\(888\) | −1.57069e6 | + | 717310.i | −1.99189 | + | 0.909664i | ||||
\(889\) | −60153.5 | − | 93600.7i | −0.0761128 | − | 0.118434i | ||||
\(890\) | −162894. | − | 47829.9i | −0.205648 | − | 0.0603836i | ||||
\(891\) | 1.35035e6 | − | 194152.i | 1.70095 | − | 0.244560i | ||||
\(892\) | 166806. | − | 365253.i | 0.209643 | − | 0.459055i | ||||
\(893\) | −165879. | − | 23849.8i | −0.208012 | − | 0.0299076i | ||||
\(894\) | −333111. | + | 518331.i | −0.416787 | + | 0.648533i | ||||
\(895\) | 203581. | − | 176404.i | 0.254151 | − | 0.220223i | ||||
\(896\) | − | 66494.3i | − | 0.0828263i | ||||||
\(897\) | 52283.6 | + | 1.40453e6i | 0.0649801 | + | 1.74561i | ||||
\(898\) | 494288. | 0.612953 | ||||||||
\(899\) | −263412. | − | 303994.i | −0.325924 | − | 0.376136i | ||||
\(900\) | −933519. | − | 599936.i | −1.15249 | − | 0.740662i | ||||
\(901\) | −23524.0 | + | 163613.i | −0.0289776 | + | 0.201544i | ||||
\(902\) | 942592. | + | 430467.i | 1.15854 | + | 0.529087i | ||||
\(903\) | −13518.3 | − | 94021.6i | −0.0165785 | − | 0.115306i | ||||
\(904\) | 141188. | − | 480844.i | 0.172768 | − | 0.588392i | ||||
\(905\) | −395824. | + | 254381.i | −0.483287 | + | 0.310590i | ||||
\(906\) | 40567.2 | + | 88829.8i | 0.0494218 | + | 0.108219i | ||||
\(907\) | −316347. | − | 1.07738e6i | −0.384547 | − | 1.30965i | −0.893581 | − | 0.448901i | \(-0.851816\pi\) |
0.509034 | − | 0.860746i | \(-0.330003\pi\) | |||||||
\(908\) | 583013. | + | 505184.i | 0.707142 | + | 0.612742i | ||||
\(909\) | 180101. | − | 207848.i | 0.217966 | − | 0.251546i | ||||
\(910\) | 11863.3 | − | 3483.39i | 0.0143260 | − | 0.00420648i | ||||
\(911\) | −476952. | + | 217817.i | −0.574696 | + | 0.262455i | −0.681491 | − | 0.731826i | \(-0.738668\pi\) |
0.106795 | + | 0.994281i | \(0.465941\pi\) | |||||||
\(912\) | 424929. | + | 661202.i | 0.510889 | + | 0.794959i | ||||
\(913\) | 859521. | + | 252378.i | 1.03113 | + | 0.302768i | ||||
\(914\) | 158565. | − | 22798.2i | 0.189808 | − | 0.0272903i | ||||
\(915\) | 50253.8 | − | 110040.i | 0.0600242 | − | 0.131435i | ||||
\(916\) | −341975. | − | 49168.6i | −0.407571 | − | 0.0585998i | ||||
\(917\) | −4521.90 | + | 7036.21i | −0.00537752 | + | 0.00836758i | ||||
\(918\) | 238491. | − | 206654.i | 0.283000 | − | 0.245221i | ||||
\(919\) | 876506.i | 1.03782i | 0.854828 | + | 0.518912i | \(0.173663\pi\) | ||||
−0.854828 | + | 0.518912i | \(0.826337\pi\) | |||||||
\(920\) | 117379. | + | 233612.i | 0.138680 | + | 0.276007i | ||||
\(921\) | 1.44145e6 | 1.69934 | ||||||||
\(922\) | −332900. | − | 384187.i | −0.391608 | − | 0.451940i | ||||
\(923\) | −29689.0 | − | 19080.0i | −0.0348492 | − | 0.0223962i | ||||
\(924\) | −21260.9 | + | 147872.i | −0.0249021 | + | 0.173198i | ||||
\(925\) | −1.00258e6 | − | 457865.i | −1.17176 | − | 0.535123i | ||||
\(926\) | −618.543 | − | 4302.06i | −0.000721353 | − | 0.00501712i | ||||
\(927\) | −531672. | + | 1.81071e6i | −0.618706 | + | 2.10712i | ||||
\(928\) | 439729. | − | 282597.i | 0.510610 | − | 0.328149i | ||||
\(929\) | 28566.0 | + | 62550.8i | 0.0330993 | + | 0.0724773i | 0.925459 | − | 0.378847i | \(-0.123679\pi\) |
−0.892360 | + | 0.451324i | \(0.850952\pi\) | |||||||
\(930\) | −61975.3 | − | 211069.i | −0.0716561 | − | 0.244038i | ||||
\(931\) | 945256. | + | 819069.i | 1.09056 | + | 0.944977i | ||||
\(932\) | 367954. | − | 424642.i | 0.423606 | − | 0.488867i | ||||
\(933\) | −442011. | + | 129786.i | −0.507773 | + | 0.149096i | ||||
\(934\) | −247162. | + | 112875.i | −0.283328 | + | 0.129391i | ||||
\(935\) | 113123. | + | 176022.i | 0.129398 | + | 0.201346i | ||||
\(936\) | 1.45155e6 | + | 426214.i | 1.65684 | + | 0.486492i | ||||
\(937\) | −1.26116e6 | + | 181327.i | −1.43645 | + | 0.206530i | −0.816151 | − | 0.577838i | \(-0.803896\pi\) |
−0.620295 | + | 0.784368i | \(0.712987\pi\) | |||||||
\(938\) | −21542.1 | + | 47170.6i | −0.0244840 | + | 0.0536125i | ||||
\(939\) | 676920. | + | 97326.4i | 0.767726 | + | 0.110382i | ||||
\(940\) | 19565.8 | − | 30445.0i | 0.0221433 | − | 0.0344556i | ||||
\(941\) | −1.08249e6 | + | 937979.i | −1.22248 | + | 1.05929i | −0.226118 | + | 0.974100i | \(0.572603\pi\) |
−0.996365 | + | 0.0851874i | \(0.972851\pi\) | |||||||
\(942\) | − | 257950.i | − | 0.290692i | ||||||
\(943\) | 1.56491e6 | + | 165859.i | 1.75981 | + | 0.186515i | ||||
\(944\) | −258629. | −0.290223 | ||||||||
\(945\) | −33422.9 | − | 38572.1i | −0.0374267 | − | 0.0431927i | ||||
\(946\) | −422377. | − | 271445.i | −0.471973 | − | 0.303319i | ||||
\(947\) | −203617. | + | 1.41618e6i | −0.227046 | + | 1.57914i | 0.483409 | + | 0.875394i | \(0.339398\pi\) |
−0.710455 | + | 0.703743i | \(0.751511\pi\) | |||||||
\(948\) | −227541. | − | 103914.i | −0.253187 | − | 0.115627i | ||||
\(949\) | −16866.6 | − | 117310.i | −0.0187282 | − | 0.130257i | ||||
\(950\) | 152228. | − | 518441.i | 0.168674 | − | 0.574450i | ||||
\(951\) | 588332. | − | 378098.i | 0.650522 | − | 0.418065i | ||||
\(952\) | 11751.1 | + | 25731.2i | 0.0129659 | + | 0.0283914i | ||||
\(953\) | −462098. | − | 1.57376e6i | −0.508802 | − | 1.73282i | −0.666663 | − | 0.745359i | \(-0.732278\pi\) |
0.157862 | − | 0.987461i | \(-0.449540\pi\) | |||||||
\(954\) | −315258. | − | 273173.i | −0.346394 | − | 0.300152i | ||||
\(955\) | 258767. | − | 298633.i | 0.283728 | − | 0.327440i | ||||
\(956\) | 999343. | − | 293434.i | 1.09345 | − | 0.321066i | ||||
\(957\) | −1.30787e6 | + | 597283.i | −1.42804 | + | 0.652163i | ||||
\(958\) | −65073.8 | − | 101257.i | −0.0709047 | − | 0.110330i | ||||
\(959\) | 60065.3 | + | 17636.8i | 0.0653110 | + | 0.0191770i | ||||
\(960\) | 65833.4 | − | 9465.42i | 0.0714339 | − | 0.0102706i | ||||
\(961\) | −114836. | + | 251457.i | −0.124346 | + | 0.272280i | ||||
\(962\) | 648826. | + | 93287.1i | 0.701097 | + | 0.100803i | ||||
\(963\) | −353599. | + | 550211.i | −0.381293 | + | 0.593303i | ||||
\(964\) | −643029. | + | 557188.i | −0.691953 | + | 0.599581i | ||||
\(965\) | − | 318629.i | − | 0.342161i | ||||||
\(966\) | −11874.3 | − | 65251.5i | −0.0127249 | − | 0.0699256i | ||||
\(967\) | 143760. | 0.153739 | 0.0768695 | − | 0.997041i | \(-0.475508\pi\) | ||||
0.0768695 | + | 0.997041i | \(0.475508\pi\) | |||||||
\(968\) | 667713. | + | 770582.i | 0.712589 | + | 0.822372i | ||||
\(969\) | −865514. | − | 556232.i | −0.921778 | − | 0.592391i | ||||
\(970\) | 19296.3 | − | 134209.i | 0.0205084 | − | 0.142639i | ||||
\(971\) | −750352. | − | 342674.i | −0.795842 | − | 0.363449i | −0.0243626 | − | 0.999703i | \(-0.507756\pi\) |
−0.771479 | + | 0.636254i | \(0.780483\pi\) | |||||||
\(972\) | −16533.7 | − | 114994.i | −0.0174999 | − | 0.121715i | ||||
\(973\) | 6195.50 | − | 21099.9i | 0.00654411 | − | 0.0222872i | ||||
\(974\) | 430184. | − | 276462.i | 0.453457 | − | 0.291419i | ||||
\(975\) | 597349. | + | 1.30801e6i | 0.628375 | + | 1.37595i | ||||
\(976\) | 22613.1 | + | 77013.2i | 0.0237389 | + | 0.0808473i | ||||
\(977\) | 108450. | + | 93972.1i | 0.113616 | + | 0.0984487i | 0.709816 | − | 0.704387i | \(-0.248778\pi\) |
−0.596200 | + | 0.802836i | \(0.703324\pi\) | |||||||
\(978\) | −297296. | + | 343098.i | −0.310821 | + | 0.358707i | ||||
\(979\) | −1.71275e6 | + | 502908.i | −1.78702 | + | 0.524715i | ||||
\(980\) | −245693. | + | 112204.i | −0.255823 | + | 0.116831i | ||||
\(981\) | −1.56253e6 | − | 2.43134e6i | −1.62364 | − | 2.52644i | ||||
\(982\) | −387597. | − | 113809.i | −0.401936 | − | 0.118019i | ||||
\(983\) | 1.50259e6 | − | 216039.i | 1.55501 | − | 0.223576i | 0.689431 | − | 0.724352i | \(-0.257861\pi\) |
0.865577 | + | 0.500775i | \(0.166952\pi\) | |||||||
\(984\) | 1.04780e6 | − | 2.29437e6i | 1.08215 | − | 2.36959i | ||||
\(985\) | −349868. | − | 50303.5i | −0.360605 | − | 0.0518472i | ||||
\(986\) | −64208.7 | + | 99910.6i | −0.0660450 | + | 0.102768i | ||||
\(987\) | −15904.9 | + | 13781.7i | −0.0163267 | + | 0.0141471i | ||||
\(988\) | − | 1.09925e6i | − | 1.12611i | ||||||
\(989\) | −739080. | − | 187452.i | −0.755612 | − | 0.191645i | ||||
\(990\) | −528041. | −0.538762 | ||||||||
\(991\) | 856691. | + | 988674.i | 0.872322 | + | 1.00671i | 0.999889 | + | 0.0148833i | \(0.00473767\pi\) |
−0.127567 | + | 0.991830i | \(0.540717\pi\) | |||||||
\(992\) | 707389. | + | 454612.i | 0.718845 | + | 0.461974i | ||||
\(993\) | 71179.3 | − | 495063.i | 0.0721864 | − | 0.502067i | ||||
\(994\) | 1514.84 | + | 691.803i | 0.00153318 | + | 0.000700180i | ||||
\(995\) | −91956.6 | − | 639572.i | −0.0928831 | − | 0.646016i | ||||
\(996\) | 267987. | − | 912679.i | 0.270143 | − | 0.920024i | ||||
\(997\) | 18946.6 | − | 12176.3i | 0.0190608 | − | 0.0122496i | −0.531076 | − | 0.847324i | \(-0.678212\pi\) |
0.550137 | + | 0.835075i | \(0.314576\pi\) | |||||||
\(998\) | −182550. | − | 399728.i | −0.183282 | − | 0.401332i | ||||
\(999\) | −762323. | − | 2.59623e6i | −0.763850 | − | 2.60143i |
(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 | 23.5.d.a.10.5 | yes | 70 | |
23.7 | odd | 22 | inner | 23.5.d.a.7.5 | ✓ | 70 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.5.d.a.7.5 | ✓ | 70 | 23.7 | odd | 22 | inner | |
23.5.d.a.10.5 | yes | 70 | 1.1 | even | 1 | trivial |