Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [448,4,Mod(65,448)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(448, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("448.65");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 448 = 2^{6} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 448.i (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(26.4328556826\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 7) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 65.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 448.65 |
Dual form | 448.4.i.a.193.1 |
$q$-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 \(\left(\mathbb{Z}/448\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −3.50000 | − | 6.06218i | −0.673575 | − | 1.16667i | −0.976883 | − | 0.213774i | \(-0.931424\pi\) |
0.303308 | − | 0.952893i | \(-0.401909\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.50000 | − | 6.06218i | 0.313050 | − | 0.542218i | −0.665971 | − | 0.745977i | \(-0.731983\pi\) |
0.979021 | + | 0.203760i | \(0.0653161\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −14.0000 | + | 12.1244i | −0.755929 | + | 0.654654i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −11.0000 | + | 19.0526i | −0.407407 | + | 0.705650i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.50000 | + | 4.33013i | 0.0685253 | + | 0.118689i | 0.898252 | − | 0.439480i | \(-0.144837\pi\) |
−0.829727 | + | 0.558169i | \(0.811504\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 14.0000 | 0.298685 | 0.149342 | − | 0.988786i | \(-0.452284\pi\) | ||||
0.149342 | + | 0.988786i | \(0.452284\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −49.0000 | −0.843450 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 10.5000 | + | 18.1865i | 0.149801 | + | 0.259464i | 0.931154 | − | 0.364626i | \(-0.118803\pi\) |
−0.781353 | + | 0.624090i | \(0.785470\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −24.5000 | + | 42.4352i | −0.295826 | + | 0.512385i | −0.975177 | − | 0.221429i | \(-0.928928\pi\) |
0.679351 | + | 0.733813i | \(0.262261\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 122.500 | + | 42.4352i | 1.27294 | + | 0.440959i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −79.5000 | + | 137.698i | −0.720735 | + | 1.24835i | 0.239971 | + | 0.970780i | \(0.422862\pi\) |
−0.960706 | + | 0.277569i | \(0.910471\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 38.0000 | + | 65.8179i | 0.304000 | + | 0.526543i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −35.0000 | −0.249472 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −58.0000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 73.5000 | + | 127.306i | 0.425838 | + | 0.737574i | 0.996498 | − | 0.0836128i | \(-0.0266459\pi\) |
−0.570660 | + | 0.821186i | \(0.693313\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 17.5000 | − | 30.3109i | 0.0923139 | − | 0.159892i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 24.5000 | + | 127.306i | 0.118322 | + | 0.614817i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 109.500 | − | 189.660i | 0.486532 | − | 0.842698i | −0.513348 | − | 0.858181i | \(-0.671595\pi\) |
0.999880 | + | 0.0154821i | \(0.00492832\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −49.0000 | − | 84.8705i | −0.201187 | − | 0.348466i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 350.000 | 1.33319 | 0.666595 | − | 0.745420i | \(-0.267751\pi\) | ||||
0.666595 | + | 0.745420i | \(0.267751\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −124.000 | −0.439763 | −0.219882 | − | 0.975527i | \(-0.570567\pi\) | ||||
−0.219882 | + | 0.975527i | \(0.570567\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 77.0000 | + | 133.368i | 0.255077 | + | 0.441807i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 262.500 | − | 454.663i | 0.814671 | − | 1.41105i | −0.0948921 | − | 0.995488i | \(-0.530251\pi\) |
0.909564 | − | 0.415565i | \(-0.136416\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 49.0000 | − | 339.482i | 0.142857 | − | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 73.5000 | − | 127.306i | 0.201805 | − | 0.349537i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 151.500 | + | 262.406i | 0.392644 | + | 0.680079i | 0.992797 | − | 0.119806i | \(-0.0382272\pi\) |
−0.600153 | + | 0.799885i | \(0.704894\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 35.0000 | 0.0858073 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 343.000 | 0.797043 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 52.5000 | + | 90.9327i | 0.115846 | + | 0.200651i | 0.918118 | − | 0.396308i | \(-0.129709\pi\) |
−0.802272 | + | 0.596959i | \(0.796375\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −206.500 | + | 357.668i | −0.433436 | + | 0.750734i | −0.997167 | − | 0.0752252i | \(-0.976032\pi\) |
0.563730 | + | 0.825959i | \(0.309366\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −77.0000 | − | 400.104i | −0.153986 | − | 0.800132i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 49.0000 | − | 84.8705i | 0.0935031 | − | 0.161952i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −207.500 | − | 359.401i | −0.378361 | − | 0.655340i | 0.612463 | − | 0.790499i | \(-0.290179\pi\) |
−0.990824 | + | 0.135159i | \(0.956845\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1113.00 | 1.94188 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 432.000 | 0.722098 | 0.361049 | − | 0.932547i | \(-0.382419\pi\) | ||||
0.361049 | + | 0.932547i | \(0.382419\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 556.500 | + | 963.886i | 0.892238 | + | 1.54540i | 0.837186 | + | 0.546919i | \(0.184199\pi\) |
0.0550526 | + | 0.998483i | \(0.482467\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 266.000 | − | 460.726i | 0.409534 | − | 0.709333i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −87.5000 | − | 30.3109i | −0.129501 | − | 0.0448603i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −51.5000 | + | 89.2006i | −0.0733443 | + | 0.127036i | −0.900365 | − | 0.435135i | \(-0.856701\pi\) |
0.827021 | + | 0.562171i | \(0.190034\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 419.500 | + | 726.595i | 0.575446 | + | 0.996701i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1092.00 | 1.44413 | 0.722064 | − | 0.691827i | \(-0.243194\pi\) | ||||
0.722064 | + | 0.691827i | \(0.243194\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 147.000 | 0.187581 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 203.000 | + | 351.606i | 0.250160 | + | 0.433289i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 164.500 | − | 284.922i | 0.195921 | − | 0.339345i | −0.751281 | − | 0.659982i | \(-0.770564\pi\) |
0.947202 | + | 0.320637i | \(0.103897\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −196.000 | + | 169.741i | −0.225784 | + | 0.195535i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 514.500 | − | 891.140i | 0.573668 | − | 0.993623i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 171.500 | + | 297.047i | 0.185216 | + | 0.320804i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −882.000 | −0.923232 | −0.461616 | − | 0.887080i | \(-0.652730\pi\) | ||||
−0.461616 | + | 0.887080i | \(0.652730\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −110.000 | −0.111671 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 689.500 | + | 1194.25i | 0.679285 | + | 1.17656i | 0.975196 | + | 0.221341i | \(0.0710434\pi\) |
−0.295911 | + | 0.955215i | \(0.595623\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −339.500 | + | 588.031i | −0.324776 | + | 0.562529i | −0.981467 | − | 0.191631i | \(-0.938622\pi\) |
0.656691 | + | 0.754160i | \(0.271956\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 686.000 | − | 594.093i | 0.637588 | − | 0.552167i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −228.500 | + | 395.774i | −0.206448 | + | 0.357578i | −0.950593 | − | 0.310440i | \(-0.899524\pi\) |
0.744145 | + | 0.668018i | \(0.232857\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −562.500 | − | 974.279i | −0.494291 | − | 0.856137i | 0.505687 | − | 0.862717i | \(-0.331239\pi\) |
−0.999978 | + | 0.00657959i | \(0.997906\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1533.00 | −1.31086 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1538.00 | −1.28038 | −0.640190 | − | 0.768217i | \(-0.721144\pi\) | ||||
−0.640190 | + | 0.768217i | \(0.721144\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 556.500 | + | 963.886i | 0.451251 | + | 0.781590i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −154.000 | + | 266.736i | −0.121686 | + | 0.210767i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −367.500 | − | 127.306i | −0.283098 | − | 0.0980680i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 653.000 | − | 1131.03i | 0.490609 | − | 0.849759i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1225.00 | − | 2121.76i | −0.898004 | − | 1.55539i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1407.00 | 1.00677 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −72.0000 | −0.0503068 | −0.0251534 | − | 0.999684i | \(-0.508007\pi\) | ||||
−0.0251534 | + | 0.999684i | \(0.508007\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 434.000 | + | 751.710i | 0.296214 | + | 0.513057i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1074.50 | + | 1861.09i | −0.716637 | + | 1.24125i | 0.245687 | + | 0.969349i | \(0.420986\pi\) |
−0.962325 | + | 0.271903i | \(0.912347\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −171.500 | − | 891.140i | −0.111812 | − | 0.580990i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −122.500 | + | 212.176i | −0.0780972 | + | 0.135268i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 562.500 | + | 974.279i | 0.350786 | + | 0.607578i | 0.986387 | − | 0.164439i | \(-0.0525813\pi\) |
−0.635602 | + | 0.772017i | \(0.719248\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 252.000 | 0.153772 | 0.0768862 | − | 0.997040i | \(-0.475502\pi\) | ||||
0.0768862 | + | 0.997040i | \(0.475502\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3675.00 | −2.19497 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 35.0000 | + | 60.6218i | 0.0204675 | + | 0.0354507i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −203.000 | + | 351.606i | −0.116264 | + | 0.201375i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2229.50 | + | 891.140i | −1.25093 | + | 0.500000i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −100.500 | + | 174.071i | −0.0552569 | + | 0.0957078i | −0.892331 | − | 0.451382i | \(-0.850931\pi\) |
0.837074 | + | 0.547090i | \(0.184264\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 809.500 | + | 1402.10i | 0.436266 | + | 0.755635i | 0.997398 | − | 0.0720914i | \(-0.0229673\pi\) |
−0.561132 | + | 0.827726i | \(0.689634\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −462.000 | −0.244121 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1029.00 | 0.533234 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 339.500 | + | 588.031i | 0.172580 | + | 0.298917i | 0.939321 | − | 0.343039i | \(-0.111456\pi\) |
−0.766741 | + | 0.641956i | \(0.778123\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1060.50 | − | 1836.84i | 0.528950 | − | 0.916169i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −556.500 | − | 2891.66i | −0.272412 | − | 1.41549i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 233.500 | − | 404.434i | 0.112203 | − | 0.194342i | −0.804455 | − | 0.594014i | \(-0.797543\pi\) |
0.916658 | + | 0.399672i | \(0.130876\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −122.500 | − | 212.176i | −0.0577976 | − | 0.100108i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1204.00 | −0.557894 | −0.278947 | − | 0.960306i | \(-0.589985\pi\) | ||||
−0.278947 | + | 0.960306i | \(0.589985\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2001.00 | −0.910787 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −539.000 | − | 933.575i | −0.241043 | − | 0.417499i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1410.50 | + | 2443.06i | −0.619875 | + | 1.07365i | 0.369633 | + | 0.929178i | \(0.379483\pi\) |
−0.989508 | + | 0.144477i | \(0.953850\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1330.00 | − | 460.726i | −0.574506 | − | 0.199015i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 367.500 | − | 636.529i | 0.156062 | − | 0.270307i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1626.50 | + | 2817.18i | 0.679164 | + | 1.17635i | 0.975233 | + | 0.221180i | \(0.0709907\pi\) |
−0.296069 | + | 0.955166i | \(0.595676\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1582.00 | −0.649664 | −0.324832 | − | 0.945772i | \(-0.605308\pi\) | ||||
−0.324832 | + | 0.945772i | \(0.605308\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2891.00 | 1.16781 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −766.500 | − | 1327.62i | −0.304617 | − | 0.527613i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −52.5000 | + | 90.9327i | −0.0205304 | + | 0.0355597i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 490.000 | − | 424.352i | 0.188583 | − | 0.163318i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1278.50 | − | 2214.43i | 0.484340 | − | 0.838902i | −0.515498 | − | 0.856891i | \(-0.672393\pi\) |
0.999838 | + | 0.0179887i | \(0.00572630\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 198.500 | + | 343.812i | 0.0740329 | + | 0.128229i | 0.900665 | − | 0.434514i | \(-0.143080\pi\) |
−0.826632 | + | 0.562742i | \(0.809746\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −686.000 | −0.251926 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2914.00 | −1.05388 | −0.526939 | − | 0.849903i | \(-0.676660\pi\) | ||||
−0.526939 | + | 0.849903i | \(0.676660\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1669.50 | + | 2891.66i | 0.594712 | + | 1.03007i | 0.993587 | + | 0.113066i | \(0.0360673\pi\) |
−0.398875 | + | 0.917005i | \(0.630599\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1452.50 | + | 2515.80i | −0.509709 | + | 0.882841i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 812.000 | − | 703.213i | 0.280745 | − | 0.243132i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1225.00 | − | 2121.76i | 0.417355 | − | 0.722880i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1749.00 | − | 3029.36i | −0.587265 | − | 1.01717i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −245.000 | −0.0810861 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1780.00 | 0.580759 | 0.290380 | − | 0.956911i | \(-0.406218\pi\) | ||||
0.290380 | + | 0.956911i | \(0.406218\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1512.00 | − | 2618.86i | −0.486387 | − | 0.842448i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −434.000 | + | 751.710i | −0.137668 | + | 0.238447i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2572.50 | − | 891.140i | −0.804759 | − | 0.278777i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3895.50 | − | 6747.20i | 1.20198 | − | 2.08189i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 147.000 | + | 254.611i | 0.0447434 | + | 0.0774978i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1400.00 | 0.420408 | 0.210204 | − | 0.977658i | \(-0.432587\pi\) | ||||
0.210204 | + | 0.977658i | \(0.432587\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1672.00 | −0.495407 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1102.50 | + | 1909.59i | 0.322359 | + | 0.558342i | 0.980974 | − | 0.194138i | \(-0.0621908\pi\) |
−0.658615 | + | 0.752480i | \(0.728858\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 143.500 | − | 248.549i | 0.0414094 | − | 0.0717231i | −0.844578 | − | 0.535433i | \(-0.820149\pi\) |
0.885987 | + | 0.463710i | \(0.153482\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 122.500 | + | 636.529i | 0.0348914 | + | 0.181301i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2293.50 | + | 3972.46i | −0.644859 | + | 1.11693i | 0.339475 | + | 0.940615i | \(0.389751\pi\) |
−0.984334 | + | 0.176314i | \(0.943583\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1837.50 | − | 3182.64i | −0.510065 | − | 0.883459i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 721.000 | 0.197612 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1668.00 | −0.451439 | −0.225720 | − | 0.974192i | \(-0.572473\pi\) | ||||
−0.225720 | + | 0.974192i | \(0.572473\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1704.50 | + | 2952.28i | 0.455587 | + | 0.789100i | 0.998722 | − | 0.0505456i | \(-0.0160960\pi\) |
−0.543135 | + | 0.839646i | \(0.682763\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 2464.00 | − | 4267.77i | 0.650476 | − | 1.12666i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1886.50 | − | 1485.23i | −0.491935 | − | 0.387298i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −343.000 | + | 594.093i | −0.0883586 | + | 0.153042i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3822.00 | − | 6619.90i | −0.972729 | − | 1.68482i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4760.00 | −1.19701 | −0.598503 | − | 0.801121i | \(-0.704238\pi\) | ||||
−0.598503 | + | 0.801121i | \(0.704238\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −795.000 | −0.197554 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −514.500 | − | 891.140i | −0.126350 | − | 0.218845i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 402.500 | − | 697.150i | 0.0976936 | − | 0.169210i | −0.813036 | − | 0.582213i | \(-0.802187\pi\) |
0.910730 | + | 0.413003i | \(0.135520\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 766.500 | + | 3982.85i | 0.183892 | + | 0.955530i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 638.000 | − | 1105.05i | 0.151307 | − | 0.262072i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −128.500 | − | 222.569i | −0.0301279 | − | 0.0521831i | 0.850568 | − | 0.525865i | \(-0.176258\pi\) |
−0.880696 | + | 0.473681i | \(0.842925\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2121.00 | 0.491668 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2303.00 | −0.527870 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1795.50 | + | 3109.90i | 0.406965 | + | 0.704884i | 0.994548 | − | 0.104280i | \(-0.0332538\pi\) |
−0.587583 | + | 0.809164i | \(0.699920\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 696.500 | − | 1206.37i | 0.156123 | − | 0.270413i | −0.777344 | − | 0.629075i | \(-0.783434\pi\) |
0.933467 | + | 0.358662i | \(0.116767\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1715.00 | + | 594.093i | 0.380207 | + | 0.131708i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −190.000 | + | 329.090i | −0.0416634 | + | 0.0721631i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 207.500 | + | 359.401i | 0.0450089 | + | 0.0779577i | 0.887652 | − | 0.460514i | \(-0.152335\pi\) |
−0.842643 | + | 0.538472i | \(0.819002\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3234.00 | −0.693959 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4954.00 | −1.05171 | −0.525856 | − | 0.850574i | \(-0.676255\pi\) | ||||
−0.525856 | + | 0.850574i | \(0.676255\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2138.50 | + | 3703.99i | 0.449190 | + | 0.778019i | 0.998333 | − | 0.0577087i | \(-0.0183795\pi\) |
−0.549144 | + | 0.835728i | \(0.685046\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1200.50 | − | 2079.33i | 0.249514 | − | 0.432171i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4900.00 | + | 4243.52i | −1.00780 | + | 0.872778i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2236.00 | − | 3872.87i | 0.455119 | − | 0.788289i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3087.00 | + | 5346.84i | 0.621866 | + | 1.07710i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7742.00 | −1.54366 | −0.771830 | − | 0.635829i | \(-0.780658\pi\) | ||||
−0.771830 | + | 0.635829i | \(0.780658\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 735.000 | 0.145062 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −87.5000 | − | 151.554i | −0.0170952 | − | 0.0296097i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1113.00 | + | 1927.77i | −0.215272 | + | 0.372863i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1736.00 | − | 1503.42i | 0.332430 | − | 0.287893i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4826.50 | − | 8359.74i | 0.915100 | − | 1.58500i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1445.50 | + | 2503.68i | 0.271374 | + | 0.470034i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7364.00 | −1.36901 | −0.684504 | − | 0.729009i | \(-0.739981\pi\) | ||||
−0.684504 | + | 0.729009i | \(0.739981\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4753.00 | 0.875044 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4987.50 | + | 8638.60i | 0.909374 | + | 1.57508i | 0.814936 | + | 0.579550i | \(0.196772\pi\) |
0.0944372 | + | 0.995531i | \(0.469895\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2376.50 | − | 4116.22i | 0.429162 | − | 0.743330i | −0.567637 | − | 0.823279i | \(-0.692142\pi\) |
0.996799 | + | 0.0799485i | \(0.0254756\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2695.00 | − | 933.575i | −0.482051 | − | 0.166987i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1738.50 | + | 3011.17i | −0.308025 | + | 0.533515i | −0.977930 | − | 0.208932i | \(-0.933001\pi\) |
0.669905 | + | 0.742447i | \(0.266335\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −145.000 | − | 251.147i | −0.0254497 | − | 0.0440801i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3199.00 | 0.556233 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1029.00 | −0.177260 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 532.000 | + | 921.451i | 0.0908002 | + | 0.157270i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3937.50 | + | 6819.95i | −0.665885 | + | 1.15335i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1837.50 | + | 9547.93i | 0.307917 | + | 1.59998i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1670.50 | + | 2893.39i | −0.277399 | + | 0.480469i | −0.970738 | − | 0.240143i | \(-0.922806\pi\) |
0.693339 | + | 0.720612i | \(0.256139\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2409.00 | + | 4172.51i | 0.396434 | + | 0.686643i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2905.00 | −0.473782 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7366.00 | 1.19066 | 0.595329 | − | 0.803482i | \(-0.297022\pi\) | ||||
0.595329 | + | 0.803482i | \(0.297022\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 5383.00 | + | 9323.63i | 0.862432 | + | 1.49378i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −367.500 | + | 636.529i | −0.0583614 | + | 0.101085i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3430.00 | + | 5346.84i | 0.539949 | + | 0.841698i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 3895.50 | − | 6747.20i | 0.607903 | − | 1.05292i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3707.50 | − | 6421.58i | −0.573571 | − | 0.993454i | −0.996195 | − | 0.0871487i | \(-0.972224\pi\) |
0.422625 | − | 0.906305i | \(-0.361109\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3878.00 | 0.594798 | 0.297399 | − | 0.954753i | \(-0.403881\pi\) | ||||
0.297399 | + | 0.954753i | \(0.403881\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −490.000 | −0.0745136 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −633.500 | − | 1097.25i | −0.0955179 | − | 0.165442i | 0.814307 | − | 0.580435i | \(-0.197117\pi\) |
−0.909825 | + | 0.414993i | \(0.863784\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1512.00 | − | 2618.86i | 0.226052 | − | 0.391534i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 514.500 | + | 2673.42i | 0.0762751 | + | 0.396337i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2342.50 | − | 4057.33i | 0.344380 | − | 0.596484i | −0.640861 | − | 0.767657i | \(-0.721422\pi\) |
0.985241 | + | 0.171173i | \(0.0547558\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2229.00 | + | 3860.74i | 0.324974 | + | 0.562872i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −9142.00 | −1.32185 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7791.00 | 1.11726 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2320.50 | − | 4019.22i | −0.330052 | − | 0.571667i | 0.652470 | − | 0.757815i | \(-0.273733\pi\) |
−0.982522 | + | 0.186148i | \(0.940400\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3850.00 | + | 6668.40i | −0.543152 | + | 0.940766i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5302.50 | − | 1836.84i | −0.742027 | − | 0.257046i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4398.50 | + | 7618.43i | −0.610578 | + | 1.05755i | 0.380565 | + | 0.924754i | \(0.375730\pi\) |
−0.991143 | + | 0.132798i | \(0.957604\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −4924.50 | − | 8529.48i | −0.678134 | − | 1.17456i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −812.000 | −0.110929 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13680.0 | 1.85407 | 0.927037 | − | 0.374969i | \(-0.122347\pi\) | ||||
0.927037 | + | 0.374969i | \(0.122347\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 252.000 | + | 436.477i | 0.0338854 | + | 0.0586913i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4882.50 | − | 8456.74i | 0.651395 | − | 1.12825i | −0.331390 | − | 0.943494i | \(-0.607518\pi\) |
0.982785 | − | 0.184755i | \(-0.0591490\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −490.000 | + | 424.352i | −0.0648642 | + | 0.0561740i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1364.00 | − | 2362.52i | 0.179163 | − | 0.310319i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 865.500 | + | 1499.09i | 0.112809 | + | 0.195390i | 0.916902 | − | 0.399113i | \(-0.130682\pi\) |
−0.804093 | + | 0.594504i | \(0.797349\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3339.00 | −0.431868 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 15043.0 | 1.93084 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 360.500 | + | 624.404i | 0.0459208 | + | 0.0795372i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5491.50 | − | 9511.56i | 0.694233 | − | 1.20245i | −0.276206 | − | 0.961099i | \(-0.589077\pi\) |
0.970439 | − | 0.241348i | \(-0.0775896\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −4802.00 | + | 4158.65i | −0.602508 | + | 0.521787i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3301.50 | + | 5718.37i | −0.411145 | + | 0.712124i | −0.995015 | − | 0.0997232i | \(-0.968204\pi\) |
0.583870 | + | 0.811847i | \(0.301538\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1029.00 | + | 1782.28i | 0.127191 | + | 0.220302i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 5873.00 | 0.720572 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1095.00 | 0.133359 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5477.50 | − | 9487.31i | −0.662213 | − | 1.14699i | −0.980033 | − | 0.198835i | \(-0.936284\pi\) |
0.317820 | − | 0.948151i | \(-0.397049\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3937.50 | − | 6819.95i | 0.472561 | − | 0.818500i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1837.50 | − | 636.529i | −0.218928 | − | 0.0758391i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3822.00 | − | 6619.90i | 0.452083 | − | 0.783031i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −882.000 | − | 1527.67i | −0.103577 | − | 0.179401i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6636.00 | 0.773723 | 0.386861 | − | 0.922138i | \(-0.373559\pi\) | ||||
0.386861 | + | 0.922138i | \(0.373559\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16630.0 | 1.92517 | 0.962585 | − | 0.270980i | \(-0.0873476\pi\) | ||||
0.962585 | + | 0.270980i | \(0.0873476\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 5775.00 | + | 10002.6i | 0.663806 | + | 1.14975i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −798.000 | + | 1382.18i | −0.0910793 | + | 0.157754i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1445.50 | − | 7511.04i | −0.163824 | − | 0.851252i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 245.000 | − | 424.352i | 0.0275728 | − | 0.0477574i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2461.50 | + | 4263.44i | 0.275096 | + | 0.476480i | 0.970159 | − | 0.242468i | \(-0.0779571\pi\) |
−0.695064 | + | 0.718948i | \(0.744624\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8974.00 | 0.995988 | 0.497994 | − | 0.867180i | \(-0.334070\pi\) | ||||
0.497994 | + | 0.867180i | \(0.334070\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2842.00 | 0.313249 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3895.50 | − | 6747.20i | −0.426423 | − | 0.738587i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2089.50 | + | 3619.12i | −0.227167 | + | 0.393465i | −0.956967 | − | 0.290195i | \(-0.906280\pi\) |
0.729800 | + | 0.683660i | \(0.239613\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5929.00 | + | 4667.88i | 0.640212 | + | 0.504036i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6463.50 | − | 11195.1i | 0.693206 | − | 1.20067i | −0.277576 | − | 0.960704i | \(-0.589531\pi\) |
0.970782 | − | 0.239964i | \(-0.0771356\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1151.50 | − | 1994.46i | −0.122666 | − | 0.212464i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 1407.00 | 0.148879 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2826.00 | −0.297032 | −0.148516 | − | 0.988910i | \(-0.547450\pi\) | ||||
−0.148516 | + | 0.988910i | \(0.547450\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 875.000 | + | 1515.54i | 0.0913573 | + | 0.158235i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 5666.50 | − | 9814.67i | 0.587716 | − | 1.01795i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 343.000 | + | 1782.28i | 0.0353409 | + | 0.183636i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4239.50 | + | 7343.03i | −0.433951 | + | 0.751625i | −0.997209 | − | 0.0746560i | \(-0.976214\pi\) |
0.563259 | + | 0.826281i | \(0.309547\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −367.500 | − | 636.529i | −0.0373713 | − | 0.0647290i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9338.00 | −0.943414 | −0.471707 | − | 0.881755i | \(-0.656362\pi\) | ||||
−0.471707 | + | 0.881755i | \(0.656362\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4016.00 | 0.403109 | 0.201554 | − | 0.979477i | \(-0.435401\pi\) | ||||
0.201554 | + | 0.979477i | \(0.435401\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3601.50 | − | 6237.98i | −0.359173 | − | 0.622106i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 2929.50 | − | 5074.04i | 0.290281 | − | 0.502781i | −0.683595 | − | 0.729861i | \(-0.739585\pi\) |
0.973876 | + | 0.227080i | \(0.0729180\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7262.50 | + | 2515.80i | 0.715034 | + | 0.247695i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2376.50 | − | 4116.22i | 0.232491 | − | 0.402687i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −310.000 | − | 536.936i | −0.0301349 | − | 0.0521952i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3724.00 | −0.359724 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −6666.00 | −0.639864 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3251.50 | + | 5631.76i | 0.310156 | + | 0.537206i | 0.978396 | − | 0.206740i | \(-0.0662853\pi\) |
−0.668240 | + | 0.743946i | \(0.732952\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1533.00 | − | 2655.23i | 0.145320 | − | 0.251701i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −15582.0 | + | 13494.4i | −1.46792 | + | 1.27126i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3087.00 | + | 5346.84i | −0.289017 | + | 0.500593i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8024.50 | − | 13898.8i | −0.746663 | − | 1.29326i | −0.949414 | − | 0.314028i | \(-0.898322\pi\) |
0.202751 | − | 0.979230i | \(-0.435012\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −3269.00 | −0.302309 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8864.00 | 0.814718 | 0.407359 | − | 0.913268i | \(-0.366450\pi\) | ||||
0.407359 | + | 0.913268i | \(0.366450\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −609.000 | − | 1054.82i | −0.0556348 | − | 0.0963624i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −385.000 | + | 666.840i | −0.0349585 | + | 0.0605499i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −6048.00 | + | 5237.72i | −0.545855 | + | 0.472724i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5105.50 | − | 8842.99i | 0.458023 | − | 0.793319i | −0.540833 | − | 0.841130i | \(-0.681891\pi\) |
0.998856 | + | 0.0478104i | \(0.0152243\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4214.00 | + | 7298.86i | 0.375784 | + | 0.650876i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1680.00 | 0.148921 | 0.0744607 | − | 0.997224i | \(-0.476276\pi\) | ||||
0.0744607 | + | 0.997224i | \(0.476276\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9653.00 | 0.850600 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 7003.50 | + | 12130.4i | 0.613484 | + | 1.06259i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4728.50 | + | 8190.00i | −0.411762 | + | 0.713193i | −0.995083 | − | 0.0990489i | \(-0.968420\pi\) |
0.583320 | + | 0.812242i | \(0.301753\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −19477.5 | − | 6747.20i | −1.68617 | − | 0.584107i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 857.500 | − | 1485.23i | 0.0738003 | − | 0.127826i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 2376.50 | + | 4116.22i | 0.203342 | + | 0.352199i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2625.00 | 0.223302 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 19747.0 | 1.67013 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9040.50 | + | 15658.6i | 0.760214 | + | 1.31673i | 0.942740 | + | 0.333528i | \(0.108239\pi\) |
−0.182526 | + | 0.983201i | \(0.558427\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10188.5 | + | 17647.0i | −0.851839 | + | 1.47543i | 0.0277071 | + | 0.999616i | \(0.491179\pi\) |
−0.879546 | + | 0.475813i | \(0.842154\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1862.00 | + | 9675.24i | 0.154789 | + | 0.804308i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1543.50 | + | 2673.42i | −0.127582 | + | 0.220979i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6557.00 | − | 11357.1i | −0.538917 | − | 0.933431i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2310.00 | −0.188786 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4900.00 | 0.398204 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1599.50 | + | 2770.42i | 0.129257 | + | 0.223879i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 11385.5 | − | 19720.3i | 0.914936 | − | 1.58472i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1592.50 | − | 636.529i | 0.127261 | − | 0.0508668i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3096.50 | + | 5363.30i | −0.246079 | + | 0.426222i | −0.962435 | − | 0.271514i | \(-0.912476\pi\) |
0.716355 | + | 0.697736i | \(0.245809\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 5537.00 | + | 9590.37i | 0.437597 | + | 0.757941i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7875.00 | −0.618950 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18464.0 | −1.44326 | −0.721630 | − | 0.692279i | \(-0.756607\pi\) | ||||
−0.721630 | + | 0.692279i | \(0.756607\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4543.00 | − | 7868.71i | −0.353170 | − | 0.611709i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1421.00 | − | 2461.24i | 0.109867 | − | 0.190295i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −360.500 | − | 1873.21i | −0.0277216 | − | 0.144045i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5365.50 | + | 9293.32i | −0.410365 | + | 0.710774i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −4706.50 | − | 8151.90i | −0.358027 | − | 0.620120i | 0.629604 | − | 0.776916i | \(-0.283217\pi\) |
−0.987631 | + | 0.156796i | \(0.949884\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1736.00 | −0.131351 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 735.000 | 0.0553150 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1599.50 | − | 2770.42i | −0.119735 | − | 0.207387i | 0.799928 | − | 0.600097i | \(-0.204871\pi\) |
−0.919663 | + | 0.392709i | \(0.871538\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5383.00 | + | 9323.63i | −0.400822 | + | 0.694244i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −14682.5 | − | 5086.17i | −1.08749 | − | 0.376718i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −10791.5 | + | 18691.4i | −0.795085 | + | 1.37713i | 0.127701 | + | 0.991813i | \(0.459240\pi\) |
−0.922785 | + | 0.385314i | \(0.874093\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10133.5 | − | 17551.7i | −0.742686 | − | 1.28637i | −0.951268 | − | 0.308365i | \(-0.900218\pi\) |
0.208582 | − | 0.978005i | \(-0.433115\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −17899.0 | −1.30496 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −12084.0 | −0.876413 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6975.50 | − | 12081.9i | −0.503282 | − | 0.871710i | −0.999993 | − | 0.00379418i | \(-0.998792\pi\) |
0.496711 | − | 0.867916i | \(-0.334541\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1389.50 | − | 2406.68i | 0.0997334 | − | 0.172743i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15288.0 | + | 13239.8i | −1.09166 | + | 0.945403i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −757.500 | + | 1312.03i | −0.0538121 | + | 0.0932053i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1078.00 | + | 1867.15i | 0.0761877 | + | 0.131961i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −20972.0 | −1.47463 | −0.737314 | − | 0.675550i | \(-0.763906\pi\) | ||||
−0.737314 | + | 0.675550i | \(0.763906\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7203.00 | −0.503895 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10199.0 | + | 17665.2i | 0.709866 | + | 1.22952i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 94.5000 | − | 163.679i | 0.00654410 | − | 0.0113347i | −0.862735 | − | 0.505657i | \(-0.831250\pi\) |
0.869279 | + | 0.494322i | \(0.164584\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2058.00 | + | 1782.28i | −0.141798 | + | 0.122801i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 11686.5 | − | 20241.6i | 0.801167 | − | 1.38766i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5140.50 | − | 8903.61i | −0.350643 | − | 0.607331i | 0.635719 | − | 0.771920i | \(-0.280704\pi\) |
−0.986362 | + | 0.164589i | \(0.947370\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6090.00 | −0.413338 | −0.206669 | − | 0.978411i | \(-0.566262\pi\) | ||||
−0.206669 | + | 0.978411i | \(0.566262\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 9130.00 | 0.616588 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4571.00 | − | 7917.20i | −0.307170 | − | 0.532033i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2474.50 | − | 4285.96i | 0.165464 | − | 0.286593i | −0.771356 | − | 0.636404i | \(-0.780421\pi\) |
0.936820 | + | 0.349812i | \(0.113754\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −7105.00 | − | 2461.24i | −0.472757 | − | 0.163768i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3675.00 | − | 6365.29i | 0.243330 | − | 0.421460i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7898.50 | − | 13680.6i | −0.520420 | − | 0.901394i | −0.999718 | − | 0.0237416i | \(-0.992442\pi\) |
0.479298 | − | 0.877652i | \(-0.340891\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −17150.0 | −1.12448 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −9378.00 | −0.611903 | −0.305951 | − | 0.952047i | \(-0.598975\pi\) | ||||
−0.305951 | + | 0.952047i | \(0.598975\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12176.5 | + | 21090.3i | 0.790654 | + | 1.36945i | 0.925562 | + | 0.378595i | \(0.123593\pi\) |
−0.134908 | + | 0.990858i | \(0.543074\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2782.50 | − | 4819.43i | 0.179803 | − | 0.311429i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1151.50 | + | 5983.37i | 0.0740512 | + | 0.384781i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 174.500 | − | 302.243i | 0.0111680 | − | 0.0193435i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 857.500 | + | 1485.23i | 0.0546176 | + | 0.0946005i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4599.00 | 0.291533 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12640.0 | 0.797449 | 0.398725 | − | 0.917071i | \(-0.369453\pi\) | ||||
0.398725 | + | 0.917071i | \(0.369453\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6230.00 | − | 10790.7i | −0.391185 | − | 0.677553i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −252.000 | + | 436.477i | −0.0157485 | + | 0.0272772i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 686.000 | − | 4752.75i | 0.0426692 | − | 0.295621i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4752.00 | + | 8230.71i | −0.294188 | + | 0.509549i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 520.500 | + | 901.532i | 0.0320726 | + | 0.0555513i | 0.881616 | − | 0.471967i | \(-0.156456\pi\) |
−0.849544 | + | 0.527518i | \(0.823123\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9548.00 | 0.585593 | 0.292797 | − | 0.956175i | \(-0.405414\pi\) | ||||
0.292797 | + | 0.956175i | \(0.405414\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6076.00 | 0.370918 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1620.50 | − | 2806.79i | −0.0984674 | − | 0.170551i | 0.812583 | − | 0.582845i | \(-0.198061\pi\) |
−0.911050 | + | 0.412295i | \(0.864727\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −262.500 | + | 454.663i | −0.0158768 | + | 0.0274994i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3601.50 | + | 18713.9i | 0.216826 | + | 1.12666i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −4426.50 | + | 7666.92i | −0.265272 | + | 0.459464i | −0.967635 | − | 0.252355i | \(-0.918795\pi\) |
0.702363 | + | 0.711819i | \(0.252128\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7521.50 | + | 13027.6i | 0.448686 | + | 0.777147i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −24486.0 | −1.45402 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7044.00 | 0.416381 | 0.208191 | − | 0.978088i | \(-0.433243\pi\) | ||||
0.208191 | + | 0.978088i | \(0.433243\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6044.50 | − | 10469.4i | −0.355679 | − | 0.616054i | 0.631555 | − | 0.775331i | \(-0.282417\pi\) |
−0.987234 | + | 0.159277i | \(0.949084\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1029.00 | − | 1782.28i | 0.0602761 | − | 0.104401i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −6002.50 | − | 2079.33i | −0.350026 | − | 0.121252i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4611.00 | − | 7986.49i | 0.267674 | − | 0.463625i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −4900.00 | − | 8487.05i | −0.283176 | − | 0.490476i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2065.00 | −0.118805 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 982.000 | 0.0562456 | 0.0281228 | − | 0.999604i | \(-0.491047\pi\) | ||||
0.0281228 | + | 0.999604i | \(0.491047\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1330.00 | − | 2303.63i | −0.0758396 | − | 0.131358i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15256.5 | + | 26425.0i | −0.866108 | + | 1.50014i | −0.000164659 | 1.00000i | \(0.500052\pi\) | |
−0.865943 | + | 0.500143i | \(0.833281\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12348.0 | − | 10693.7i | 0.697898 | − | 0.604397i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7717.50 | − | 13367.1i | 0.434266 | − | 0.752171i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5737.50 | − | 9937.64i | −0.321434 | − | 0.556740i | 0.659350 | − | 0.751836i | \(-0.270831\pi\) |
−0.980784 | + | 0.195096i | \(0.937498\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7875.00 | 0.439253 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2009.00 | −0.111569 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2121.00 | + | 3673.68i | 0.117277 | + | 0.203129i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14157.5 | − | 24521.5i | 0.779416 | − | 1.34999i | −0.152862 | − | 0.988248i | \(-0.548849\pi\) |
0.932279 | − | 0.361741i | \(-0.117818\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1540.00 | − | 1333.68i | 0.0844152 | − | 0.0731057i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 882.000 | − | 1527.67i | 0.0481384 | − | 0.0833781i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3675.00 | + | 6365.29i | 0.199714 | + | 0.345915i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 32109.0 | 1.73744 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −10614.0 | −0.571876 | −0.285938 | − | 0.958248i | \(-0.592305\pi\) | ||||
−0.285938 | + | 0.958248i | \(0.592305\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5365.50 | + | 9293.32i | 0.287857 | + | 0.498583i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −12862.5 | + | 22278.5i | −0.687134 | + | 1.19015i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −24132.5 | − | 8359.74i | −1.28373 | − | 0.444697i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5149.50 | − | 8919.20i | 0.272769 | − | 0.472451i | −0.696801 | − | 0.717265i | \(-0.745394\pi\) |
0.969570 | + | 0.244814i | \(0.0787270\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1133.00 | − | 1962.41i | −0.0597621 | − | 0.103511i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −23373.0 | −1.22767 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 490.000 | 0.0256293 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 5838.00 | + | 10111.7i | 0.304078 | + | 0.526679i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 16264.5 | − | 28170.9i | 0.843621 | − | 1.46119i | −0.0431924 | − | 0.999067i | \(-0.513753\pi\) |
0.886813 | − | 0.462128i | \(-0.152914\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2376.50 | − | 12348.7i | −0.122754 | − | 0.637847i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 11931.5 | − | 20666.0i | 0.613744 | − | 1.06304i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2204.00 | − | 3817.44i | −0.112903 | − | 0.195553i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −29456.0 | −1.50270 | −0.751350 | − | 0.659904i | \(-0.770597\pi\) | ||||
−0.751350 | + | 0.659904i | \(0.770597\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −11843.0 | −0.601687 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1302.00 | − | 2255.13i | −0.0658772 | − | 0.114103i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 13933.5 | − | 24133.5i | 0.702109 | − | 1.21609i | −0.265616 | − | 0.964079i | \(-0.585575\pi\) |
0.967725 | − | 0.252009i | \(-0.0810912\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2401.00 | + | 16634.6i | −0.120493 | + | 0.834799i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1037.50 | − | 1797.00i | 0.0518546 | − | 0.0898147i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9769.50 | − | 16921.3i | −0.486302 | − | 0.842299i | 0.513574 | − | 0.858045i | \(-0.328321\pi\) |
−0.999876 | + | 0.0157460i | \(0.994988\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4802.00 | 0.238065 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1248.00 | −0.0616214 | −0.0308107 | − | 0.999525i | \(-0.509809\pi\) | ||||
−0.0308107 | + | 0.999525i | \(0.509809\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 703.500 | + | 1218.50i | 0.0345963 | + | 0.0599226i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −12012.0 | + | 20805.4i | −0.588348 | + | 1.01905i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1599.50 | − | 8311.25i | −0.0780300 | − | 0.405456i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14046.5 | − | 24329.3i | 0.682509 | − | 1.18214i | −0.291704 | − | 0.956509i | \(-0.594222\pi\) |
0.974213 | − | 0.225631i | \(-0.0724444\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16660.0 | + | 28856.0i | 0.806274 | + | 1.39651i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 11333.0 | 0.546292 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −35954.0 | −1.72625 | −0.863124 | − | 0.504991i | \(-0.831496\pi\) | ||||
−0.863124 | + | 0.504991i | \(0.831496\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2782.50 | + | 4819.43i | 0.133068 | + | 0.230480i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 430.500 | − | 745.648i | 0.0205067 | − | 0.0355187i | −0.855590 | − | 0.517654i | \(-0.826805\pi\) |
0.876097 | + | 0.482136i | \(0.160139\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 19687.5 | + | 6819.95i | 0.934122 | + | 0.323589i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1617.00 | + | 2800.73i | −0.0764219 | + | 0.132367i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 735.000 | + | 1273.06i | 0.0346014 | + | 0.0599315i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24710.0 | 1.15873 | 0.579366 | − | 0.815067i | \(-0.303300\pi\) | ||||
0.579366 | + | 0.815067i | \(0.303300\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5635.00 | −0.263216 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 8249.50 | + | 14288.6i | 0.383847 | + | 0.664843i | 0.991609 | − | 0.129277i | \(-0.0412656\pi\) |
−0.607761 | + | 0.794120i | \(0.707932\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5586.00 | + | 9675.24i | −0.258910 | + | 0.448445i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 21462.0 | − | 18586.6i | 0.990920 | − | 0.858162i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8575.00 | + | 14852.3i | −0.394392 | + | 0.683107i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1080.00 | + | 1870.61i | 0.0494820 | + | 0.0857053i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 2030.00 | 0.0926517 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4753.00 | 0.216104 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8235.50 | − | 14264.3i | −0.373016 | − | 0.646083i | 0.617012 | − | 0.786954i | \(-0.288343\pi\) |
−0.990028 | + | 0.140871i | \(0.955010\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −899.500 | + | 1557.98i | −0.0405869 | + | 0.0702985i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 21532.0 | − | 18647.3i | 0.967876 | − | 0.838205i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2891.00 | + | 5007.36i | −0.129461 | + | 0.224233i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −7423.50 | − | 12857.9i | −0.331175 | − | 0.573613i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 36470.0 | 1.62087 | 0.810435 | − | 0.585828i | \(-0.199231\pi\) | ||||
0.810435 | + | 0.585828i | \(0.199231\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 11025.0 | 0.488156 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3619.00 | + | 6268.29i | 0.159639 | + | 0.276503i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2782.50 | + | 4819.43i | −0.122282 | + | 0.211798i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −19477.5 | − | 6747.20i | −0.852785 | − | 0.295413i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 12568.5 | − | 21769.3i | 0.548243 | − | 0.949585i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −17875.5 | − | 30961.3i | −0.776847 | − | 1.34554i | −0.933751 | − | 0.357924i | \(-0.883485\pi\) |
0.156904 | − | 0.987614i | \(-0.449849\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −16492.0 | −0.714072 | −0.357036 | − | 0.934091i | \(-0.616213\pi\) | ||||
−0.357036 | + | 0.934091i | \(0.616213\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −9751.00 | −0.420643 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1634.50 | − | 2831.04i | −0.0702504 | − | 0.121677i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3038.00 | − | 5261.97i | 0.130093 | − | 0.225328i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1078.00 | − | 5601.45i | −0.0459931 | − | 0.238987i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −20736.5 | + | 35916.7i | −0.881497 | + | 1.52680i | −0.0318198 | + | 0.999494i | \(0.510130\pi\) |
−0.849677 | + | 0.527304i | \(0.823203\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −12532.5 | − | 21706.9i | −0.530809 | − | 0.919387i | −0.999354 | − | 0.0359479i | \(-0.988555\pi\) |
0.468545 | − | 0.883440i | \(-0.344778\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2660.00 | 0.112254 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 9732.00 | 0.409208 | 0.204604 | − | 0.978845i | \(-0.434409\pi\) | ||||
0.204604 | + | 0.978845i | \(0.434409\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13877.5 | + | 24036.5i | 0.581406 | + | 1.00702i | 0.995313 | + | 0.0967055i | \(0.0308305\pi\) |
−0.413907 | + | 0.910319i | \(0.635836\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1452.50 | − | 2515.80i | 0.0606338 | − | 0.105021i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 6688.50 | − | 2673.42i | 0.278203 | − | 0.111199i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4214.00 | + | 7298.86i | −0.174648 | + | 0.302500i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2572.50 | − | 4455.70i | −0.106235 | − | 0.184004i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −21112.0 | −0.868733 | −0.434367 | − | 0.900736i | \(-0.643028\pi\) | ||||
−0.434367 | + | 0.900736i | \(0.643028\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21025.0 | −0.862069 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 17339.0 | + | 30032.0i | 0.708407 | + | 1.22700i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −7003.50 | + | 12130.4i | −0.285122 | + | 0.493845i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4571.00 | + | 23751.6i | 0.185433 | + | 0.963536i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 14969.5 | − | 25927.9i | 0.605126 | − | 1.04811i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 17410.5 | + | 30155.9i | 0.701321 | + | 1.21472i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21238.0 | 0.852492 | 0.426246 | − | 0.904607i | \(-0.359836\pi\) | ||||
0.426246 | + | 0.904607i | \(0.359836\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7546.00 | −0.301834 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 17804.5 | + | 30838.3i | 0.709673 | + | 1.22919i | 0.964978 | + | 0.262330i | \(0.0844908\pi\) |
−0.255305 | + | 0.966861i | \(0.582176\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1088.50 | + | 1885.34i | −0.0432353 | + | 0.0748858i | −0.886833 | − | 0.462090i | \(-0.847100\pi\) |
0.843598 | + | 0.536975i | \(0.180433\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 42875.0 | + | 14852.3i | 1.69707 | + | 0.587882i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16123.5 | + | 27926.7i | −0.635980 | + | 1.10155i | 0.350327 | + | 0.936627i | \(0.386070\pi\) |
−0.986307 | + | 0.164921i | \(0.947263\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9873.50 | + | 17101.4i | 0.388103 | + | 0.672214i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −31304.0 | −1.22623 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −515.000 | −0.0201038 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2905.00 | − | 5031.61i | −0.113011 | − | 0.195740i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9702.00 | − | 16804.4i | 0.376132 | − | 0.651479i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −19698.0 | + | 17059.0i | −0.761045 | + | 0.659084i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13815.5 | − | 23929.1i | 0.531946 | − | 0.921357i | −0.467359 | − | 0.884068i | \(-0.654794\pi\) |
0.999305 | − | 0.0372891i | \(-0.0118723\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 27097.0 | + | 46933.4i | 1.03977 | + | 1.80094i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 24402.0 | 0.933172 | 0.466586 | − | 0.884476i | \(-0.345484\pi\) | ||||
0.466586 | + | 0.884476i | \(0.345484\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19612.0 | −0.747448 | −0.373724 | − | 0.927540i | \(-0.621919\pi\) | ||||
−0.373724 | + | 0.927540i | \(0.621919\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2572.50 | − | 4455.70i | −0.0977103 | − | 0.169239i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1130.50 | − | 1958.08i | 0.0427942 | − | 0.0741218i | −0.843835 | − | 0.536603i | \(-0.819707\pi\) |
0.886629 | + | 0.462481i | \(0.153041\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1008.00 | − | 872.954i | 0.0380284 | − | 0.0329335i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2097.50 | + | 3632.98i | −0.0788652 | + | 0.136599i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 12862.5 | + | 22278.5i | 0.482001 | + | 0.834851i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 22771.0 | 0.850448 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 15582.0 | 0.580009 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −4263.00 | − | 7383.73i | −0.158152 | − | 0.273928i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3181.50 | + | 5510.52i | −0.117637 | + | 0.203754i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −15190.0 | − | 5261.97i | −0.559791 | − | 0.193917i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5537.00 | + | 9590.37i | −0.203377 | + | 0.352259i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11916.5 | + | 20640.0i | 0.436252 | + | 0.755611i | 0.997397 | − | 0.0721066i | \(-0.0229722\pi\) |
−0.561145 | + | 0.827718i | \(0.689639\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −30338.0 | −1.10698 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −31824.0 | −1.15738 | −0.578692 | − | 0.815546i | \(-0.696437\pi\) | ||||
−0.578692 | + | 0.815546i | \(0.696437\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2730.00 | + | 4728.50i | 0.0989593 | + | 0.171402i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 10118.5 | − | 17525.8i | 0.365582 | − | 0.633206i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −7521.50 | − | 39082.9i | −0.270863 | − | 1.40745i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8409.50 | + | 14565.7i | −0.301854 | + | 0.522826i | −0.976556 | − | 0.215264i | \(-0.930939\pi\) |
0.674702 | + | 0.738090i | \(0.264272\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 25774.0 | + | 44641.9i | 0.922130 | + | 1.59718i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 6048.00 | 0.215680 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 16644.0 | 0.591623 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −7469.00 | − | 12936.7i | −0.264632 | − | 0.458357i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −899.500 | + | 1557.98i | −0.0317671 | + | 0.0550222i | −0.881472 | − | 0.472237i | \(-0.843447\pi\) |
0.849705 | + | 0.527259i | \(0.176780\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 13205.5 | + | 10396.6i | 0.464869 | + | 0.365989i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 34912.5 | − | 60470.2i | 1.22506 | − | 2.12187i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 367.500 | + | 636.529i | 0.0128540 | + | 0.0222639i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 14154.0 | 0.493480 | 0.246740 | − | 0.969082i | \(-0.420641\pi\) | ||||
0.246740 | + | 0.969082i | \(0.420641\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −33271.0 | −1.15629 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6023.50 | + | 10433.0i | 0.208672 | + | 0.361431i | 0.951296 | − | 0.308277i | \(-0.0997525\pi\) |
−0.742624 | + | 0.669708i | \(0.766419\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −27825.0 | + | 48194.3i | −0.960877 | + | 1.66429i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −857.500 | − | 4455.70i | −0.0295180 | − | 0.153380i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12189.5 | − | 21112.8i | 0.418274 | − | 0.724472i | −0.577492 | − | 0.816396i | \(-0.695969\pi\) |
0.995766 | + | 0.0919245i | \(0.0293018\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7791.00 | + | 13494.4i | 0.266498 | + | 0.461588i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 24339.0 | 0.829912 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −52330.0 | −1.77874 | −0.889368 | − | 0.457192i | \(-0.848855\pi\) | ||||
−0.889368 | + | 0.457192i | \(0.848855\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8949.50 | − | 15501.0i | −0.303245 | − | 0.525236i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1015.00 | + | 1758.03i | −0.0342845 | + | 0.0593825i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −19687.5 | − | 6819.95i | −0.662922 | − | 0.229643i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4091.00 | − | 7085.82i | 0.137323 | − | 0.237851i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5027.00 | − | 8707.02i | −0.168217 | − | 0.291360i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 2779.00 | 0.0927038 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12416.0 | 0.412897 | 0.206449 | − | 0.978457i | \(-0.433809\pi\) | ||||
0.206449 | + | 0.978457i | \(0.433809\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 3601.50 | + | 6237.98i | 0.119398 | + | 0.206804i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −18406.5 | + | 31881.0i | −0.608334 | + | 1.05367i | 0.383181 | + | 0.923673i | \(0.374829\pi\) |
−0.991515 | + | 0.129993i | \(0.958505\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3528.00 | + | 3055.34i | −0.116241 | + | 0.100668i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3724.00 | − | 6450.16i | 0.122321 | − | 0.211867i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −17497.5 | − | 30306.6i | −0.572973 | − | 0.992418i | −0.996259 | − | 0.0864221i | \(-0.972457\pi\) |
0.423286 | − | 0.905996i | \(-0.360877\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1645.00 | 0.0537022 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 24750.0 | 0.805511 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −7150.50 | − | 12385.0i | −0.232010 | − | 0.401853i | 0.726390 | − | 0.687283i | \(-0.241197\pi\) |
−0.958399 | + | 0.285430i | \(0.907863\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10199.0 | + | 17665.2i | −0.329916 | + | 0.571431i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 51450.0 | − | 44557.0i | 1.65924 | − | 1.43695i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 9858.00 | − | 17074.6i | 0.316953 | − | 0.548978i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1332.50 | − | 2307.96i | −0.0427127 | − | 0.0739805i | 0.843879 | − | 0.536534i | \(-0.180267\pi\) |
−0.886591 | + | 0.462553i | \(0.846933\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 23387.0 | 0.747396 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 23373.0 | 0.744697 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12435.5 | + | 21538.9i | 0.395021 | + | 0.684197i | 0.993104 | − | 0.117237i | \(-0.0374039\pi\) |
−0.598083 | + | 0.801434i | \(0.704071\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −3832.50 | + | 6638.08i | −0.121376 | + | 0.210230i |
(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 | 448.4.i.a.65.1 | 2 | ||
4.3 | odd | 2 | 448.4.i.f.65.1 | 2 | |||
7.4 | even | 3 | inner | 448.4.i.a.193.1 | 2 | ||
8.3 | odd | 2 | 7.4.c.a.2.1 | ✓ | 2 | ||
8.5 | even | 2 | 112.4.i.c.65.1 | 2 | |||
24.11 | even | 2 | 63.4.e.b.37.1 | 2 | |||
28.11 | odd | 6 | 448.4.i.f.193.1 | 2 | |||
40.3 | even | 4 | 175.4.k.a.149.2 | 4 | |||
40.19 | odd | 2 | 175.4.e.a.51.1 | 2 | |||
40.27 | even | 4 | 175.4.k.a.149.1 | 4 | |||
56.3 | even | 6 | 49.4.c.a.18.1 | 2 | |||
56.5 | odd | 6 | 784.4.a.r.1.1 | 1 | |||
56.11 | odd | 6 | 7.4.c.a.4.1 | yes | 2 | ||
56.19 | even | 6 | 49.4.a.c.1.1 | 1 | |||
56.27 | even | 2 | 49.4.c.a.30.1 | 2 | |||
56.37 | even | 6 | 784.4.a.b.1.1 | 1 | |||
56.51 | odd | 6 | 49.4.a.d.1.1 | 1 | |||
56.53 | even | 6 | 112.4.i.c.81.1 | 2 | |||
168.11 | even | 6 | 63.4.e.b.46.1 | 2 | |||
168.59 | odd | 6 | 441.4.e.k.361.1 | 2 | |||
168.83 | odd | 2 | 441.4.e.k.226.1 | 2 | |||
168.107 | even | 6 | 441.4.a.d.1.1 | 1 | |||
168.131 | odd | 6 | 441.4.a.e.1.1 | 1 | |||
280.19 | even | 6 | 1225.4.a.d.1.1 | 1 | |||
280.67 | even | 12 | 175.4.k.a.74.2 | 4 | |||
280.123 | even | 12 | 175.4.k.a.74.1 | 4 | |||
280.179 | odd | 6 | 175.4.e.a.151.1 | 2 | |||
280.219 | odd | 6 | 1225.4.a.c.1.1 | 1 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
7.4.c.a.2.1 | ✓ | 2 | 8.3 | odd | 2 | ||
7.4.c.a.4.1 | yes | 2 | 56.11 | odd | 6 | ||
49.4.a.c.1.1 | 1 | 56.19 | even | 6 | |||
49.4.a.d.1.1 | 1 | 56.51 | odd | 6 | |||
49.4.c.a.18.1 | 2 | 56.3 | even | 6 | |||
49.4.c.a.30.1 | 2 | 56.27 | even | 2 | |||
63.4.e.b.37.1 | 2 | 24.11 | even | 2 | |||
63.4.e.b.46.1 | 2 | 168.11 | even | 6 | |||
112.4.i.c.65.1 | 2 | 8.5 | even | 2 | |||
112.4.i.c.81.1 | 2 | 56.53 | even | 6 | |||
175.4.e.a.51.1 | 2 | 40.19 | odd | 2 | |||
175.4.e.a.151.1 | 2 | 280.179 | odd | 6 | |||
175.4.k.a.74.1 | 4 | 280.123 | even | 12 | |||
175.4.k.a.74.2 | 4 | 280.67 | even | 12 | |||
175.4.k.a.149.1 | 4 | 40.27 | even | 4 | |||
175.4.k.a.149.2 | 4 | 40.3 | even | 4 | |||
441.4.a.d.1.1 | 1 | 168.107 | even | 6 | |||
441.4.a.e.1.1 | 1 | 168.131 | odd | 6 | |||
441.4.e.k.226.1 | 2 | 168.83 | odd | 2 | |||
441.4.e.k.361.1 | 2 | 168.59 | odd | 6 | |||
448.4.i.a.65.1 | 2 | 1.1 | even | 1 | trivial | ||
448.4.i.a.193.1 | 2 | 7.4 | even | 3 | inner | ||
448.4.i.f.65.1 | 2 | 4.3 | odd | 2 | |||
448.4.i.f.193.1 | 2 | 28.11 | odd | 6 | |||
784.4.a.b.1.1 | 1 | 56.37 | even | 6 | |||
784.4.a.r.1.1 | 1 | 56.5 | odd | 6 | |||
1225.4.a.c.1.1 | 1 | 280.219 | odd | 6 | |||
1225.4.a.d.1.1 | 1 | 280.19 | even | 6 |