Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [136,3,Mod(41,136)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(136, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 0, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("136.41");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 136 = 2^{3} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 136.t (of order \(16\), degree \(8\), 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: | \(3.70573159530\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 73.1 | ||
Character | \(\chi\) | \(=\) | 136.73 |
Dual form | 136.3.t.a.41.1 |
$q$-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 \(\left(\mathbb{Z}/136\mathbb{Z}\right)^\times\).
\(n\) | \(69\) | \(103\) | \(105\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.15859 | − | 3.23056i | −0.719530 | − | 1.07685i | −0.993357 | − | 0.115073i | \(-0.963290\pi\) |
0.273827 | − | 0.961779i | \(-0.411710\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.60027 | + | 8.04508i | −0.320053 | + | 1.60902i | 0.400961 | + | 0.916095i | \(0.368676\pi\) |
−0.721014 | + | 0.692920i | \(0.756324\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.739073 | + | 3.71557i | 0.105582 | + | 0.530796i | 0.996986 | + | 0.0775860i | \(0.0247212\pi\) |
−0.891404 | + | 0.453210i | \(0.850279\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.33284 | + | 5.63197i | −0.259204 | + | 0.625775i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.0729240 | − | 0.0487263i | −0.00662945 | − | 0.00442966i | 0.552251 | − | 0.833678i | \(-0.313769\pi\) |
−0.558881 | + | 0.829248i | \(0.688769\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 15.0409 | + | 15.0409i | 1.15699 | + | 1.15699i | 0.985119 | + | 0.171872i | \(0.0549815\pi\) |
0.171872 | + | 0.985119i | \(0.445018\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 29.4444 | − | 12.1963i | 1.96296 | − | 0.813085i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −14.6619 | + | 8.60395i | −0.862466 | + | 0.506115i | ||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 10.6813 | + | 25.7869i | 0.562172 | + | 1.35720i | 0.908025 | + | 0.418916i | \(0.137590\pi\) |
−0.345853 | + | 0.938289i | \(0.612410\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 10.4080 | − | 10.4080i | 0.495620 | − | 0.495620i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 12.9453 | − | 19.3739i | 0.562837 | − | 0.842346i | −0.435488 | − | 0.900195i | \(-0.643424\pi\) |
0.998325 | + | 0.0578489i | \(0.0184242\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −39.0654 | − | 16.1814i | −1.56262 | − | 0.647257i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −11.0663 | + | 2.20122i | −0.409862 | + | 0.0815266i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −22.6794 | − | 4.51121i | −0.782048 | − | 0.155559i | −0.212109 | − | 0.977246i | \(-0.568033\pi\) |
−0.569939 | + | 0.821687i | \(0.693033\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −31.5440 | + | 21.0770i | −1.01755 | + | 0.679904i | −0.948195 | − | 0.317688i | \(-0.897094\pi\) |
−0.0693532 | + | 0.997592i | \(0.522094\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.340765i | 0.0103262i | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −31.0748 | −0.887851 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 18.9394 | + | 28.3448i | 0.511875 | + | 0.766074i | 0.993924 | − | 0.110070i | \(-0.0351074\pi\) |
−0.482049 | + | 0.876144i | \(0.660107\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 16.1233 | − | 81.0575i | 0.413419 | − | 2.07840i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.65376 | − | 18.3687i | −0.0891162 | − | 0.448017i | −0.999419 | − | 0.0340750i | \(-0.989151\pi\) |
0.910303 | − | 0.413942i | \(-0.135849\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 13.4093 | − | 32.3729i | 0.311844 | − | 0.752857i | −0.687793 | − | 0.725907i | \(-0.741420\pi\) |
0.999637 | − | 0.0269505i | \(-0.00857964\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −41.5765 | − | 27.7805i | −0.923922 | − | 0.617345i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.80943 | − | 8.80943i | −0.187435 | − | 0.187435i | 0.607151 | − | 0.794586i | \(-0.292312\pi\) |
−0.794586 | + | 0.607151i | \(0.792312\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 32.0108 | − | 13.2593i | 0.653283 | − | 0.270599i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 59.4446 | + | 28.7938i | 1.16558 | + | 0.564584i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 20.8866 | + | 50.4248i | 0.394088 | + | 0.951411i | 0.989040 | + | 0.147650i | \(0.0471710\pi\) |
−0.594952 | + | 0.803761i | \(0.702829\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.508704 | − | 0.508704i | 0.00924917 | − | 0.00924917i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 60.2495 | − | 90.1697i | 1.05701 | − | 1.58193i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −46.3811 | − | 19.2117i | −0.786121 | − | 0.325622i | −0.0467379 | − | 0.998907i | \(-0.514883\pi\) |
−0.739383 | + | 0.673285i | \(0.764883\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 103.351 | − | 20.5577i | 1.69427 | − | 0.337012i | 0.748820 | − | 0.662773i | \(-0.230621\pi\) |
0.945452 | + | 0.325761i | \(0.105621\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −22.6501 | − | 4.50539i | −0.359526 | − | 0.0715142i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −145.075 | + | 96.9357i | −2.23192 | + | 1.49132i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 20.6073i | 0.307571i | 0.988104 | + | 0.153786i | \(0.0491465\pi\) | ||||
−0.988104 | + | 0.153786i | \(0.950853\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −90.5321 | −1.31206 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.143006 | − | 0.214023i | −0.00201416 | − | 0.00301441i | 0.830461 | − | 0.557077i | \(-0.188077\pi\) |
−0.832475 | + | 0.554062i | \(0.813077\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.17331 | + | 10.9260i | −0.0297714 | + | 0.149671i | −0.992812 | − | 0.119686i | \(-0.961811\pi\) |
0.963040 | + | 0.269357i | \(0.0868112\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 32.0512 | + | 161.132i | 0.427349 | + | 2.14843i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.127150 | − | 0.306967i | 0.00165130 | − | 0.00398658i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −117.425 | − | 78.4609i | −1.48639 | − | 0.993175i | −0.992312 | − | 0.123759i | \(-0.960505\pi\) |
−0.494080 | − | 0.869417i | \(-0.664495\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 69.7934 | + | 69.7934i | 0.861647 | + | 0.861647i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 86.9756 | − | 36.0265i | 1.04790 | − | 0.434054i | 0.208758 | − | 0.977967i | \(-0.433058\pi\) |
0.839141 | + | 0.543913i | \(0.183058\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −45.7565 | − | 131.725i | −0.538312 | − | 1.54971i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 34.3818 | + | 83.0050i | 0.395193 | + | 0.954080i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 89.1111 | − | 89.1111i | 1.00125 | − | 1.00125i | 0.00124905 | − | 0.999999i | \(-0.499602\pi\) |
0.999999 | − | 0.00124905i | \(-0.000397586\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −44.7692 | + | 67.0018i | −0.491969 | + | 0.736284i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 136.181 | + | 56.4080i | 1.46431 | + | 0.606538i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −224.550 | + | 44.6658i | −2.36369 | + | 0.470167i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 84.5267 | + | 16.8134i | 0.871410 | + | 0.173334i | 0.610488 | − | 0.792026i | \(-0.290973\pi\) |
0.260922 | + | 0.965360i | \(0.415973\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.444545 | − | 0.297035i | 0.00449035 | − | 0.00300036i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 29.1183i | 0.288300i | 0.989556 | + | 0.144150i | \(0.0460447\pi\) | ||||
−0.989556 | + | 0.144150i | \(0.953955\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 128.815 | 1.25063 | 0.625315 | − | 0.780373i | \(-0.284971\pi\) | ||||
0.625315 | + | 0.780373i | \(0.284971\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 67.0777 | + | 100.389i | 0.638835 | + | 0.956084i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −31.6082 | + | 158.905i | −0.295404 | + | 1.48510i | 0.493049 | + | 0.870002i | \(0.335882\pi\) |
−0.788453 | + | 0.615095i | \(0.789118\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −20.3278 | − | 102.195i | −0.186494 | − | 0.937568i | −0.954746 | − | 0.297421i | \(-0.903873\pi\) |
0.768253 | − | 0.640147i | \(-0.221127\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 50.6870 | − | 122.369i | 0.456640 | − | 1.10243i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 66.4011 | + | 44.3678i | 0.587620 | + | 0.392635i | 0.813539 | − | 0.581511i | \(-0.197538\pi\) |
−0.225918 | + | 0.974146i | \(0.572538\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 135.149 | + | 135.149i | 1.17521 | + | 1.17521i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −119.798 | + | 49.6219i | −1.02391 | + | 0.424119i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −42.8048 | − | 48.1185i | −0.359705 | − | 0.404357i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −46.3018 | − | 111.782i | −0.382659 | − | 0.923821i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −51.4542 | + | 51.4542i | −0.418327 | + | 0.418327i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 78.7667 | − | 117.883i | 0.630134 | − | 0.943062i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 181.635 | + | 75.2358i | 1.43020 | + | 0.592408i | 0.957401 | − | 0.288762i | \(-0.0932438\pi\) |
0.472799 | + | 0.881170i | \(0.343244\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −133.527 | + | 26.5603i | −1.03510 | + | 0.205894i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −149.587 | − | 29.7546i | −1.14188 | − | 0.227135i | −0.412314 | − | 0.911042i | \(-0.635279\pi\) |
−0.729569 | + | 0.683907i | \(0.760279\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −87.9188 | + | 58.7454i | −0.661043 | + | 0.441695i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | − | 92.5515i | − | 0.685567i | ||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −45.5719 | −0.332641 | −0.166321 | − | 0.986072i | \(-0.553189\pi\) | ||||
−0.166321 | + | 0.986072i | \(0.553189\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 16.3879 | + | 24.5262i | 0.117898 | + | 0.176447i | 0.885725 | − | 0.464210i | \(-0.153662\pi\) |
−0.767827 | + | 0.640658i | \(0.778662\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.44343 | + | 47.4753i | −0.0669746 | + | 0.336704i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.363955 | − | 1.82973i | −0.00254514 | − | 0.0127953i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 72.5861 | − | 175.238i | 0.500594 | − | 1.20854i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −111.933 | − | 74.7914i | −0.761451 | − | 0.508785i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −124.513 | − | 124.513i | −0.835654 | − | 0.835654i | 0.152629 | − | 0.988284i | \(-0.451226\pi\) |
−0.988284 | + | 0.152629i | \(0.951226\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 239.126 | − | 99.0494i | 1.58362 | − | 0.655956i | 0.594637 | − | 0.803995i | \(-0.297296\pi\) |
0.988982 | + | 0.148039i | \(0.0472960\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −14.2533 | − | 102.647i | −0.0931588 | − | 0.670897i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −119.088 | − | 287.503i | −0.768307 | − | 1.85486i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −130.367 | + | 130.367i | −0.830365 | + | 0.830365i | −0.987567 | − | 0.157201i | \(-0.949753\pi\) |
0.157201 | + | 0.987567i | \(0.449753\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 117.815 | − | 176.322i | 0.740972 | − | 1.10894i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 81.5528 | + | 33.7803i | 0.506539 | + | 0.209815i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −151.539 | + | 30.1429i | −0.929685 | + | 0.184926i | −0.636630 | − | 0.771170i | \(-0.719672\pi\) |
−0.293055 | + | 0.956096i | \(0.594672\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.74148 | − | 0.545315i | −0.0166150 | − | 0.00330494i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.05603 | + | 0.705613i | −0.00632350 | + | 0.00422523i | −0.558728 | − | 0.829351i | \(-0.688710\pi\) |
0.552404 | + | 0.833576i | \(0.313710\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 283.457i | 1.67726i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −170.149 | −0.995022 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 48.5611 | + | 72.6768i | 0.280700 | + | 0.420097i | 0.944851 | − | 0.327501i | \(-0.106207\pi\) |
−0.664151 | + | 0.747599i | \(0.731207\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 31.2511 | − | 157.110i | 0.178578 | − | 0.897770i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 38.0533 | + | 191.307i | 0.214991 | + | 1.08083i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 74.5625 | − | 180.010i | 0.416550 | − | 1.00564i | −0.566789 | − | 0.823863i | \(-0.691815\pi\) |
0.983339 | − | 0.181779i | \(-0.0581855\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −65.0194 | − | 43.4446i | −0.359223 | − | 0.240025i | 0.362841 | − | 0.931851i | \(-0.381807\pi\) |
−0.722065 | + | 0.691826i | \(0.756807\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −289.504 | − | 289.504i | −1.58199 | − | 1.58199i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −258.344 | + | 107.009i | −1.39645 | + | 0.578430i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.48844 | + | 0.0869862i | 0.00795960 | + | 0.000465167i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −16.3576 | − | 39.4906i | −0.0865479 | − | 0.208945i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −190.391 | + | 190.391i | −0.996811 | + | 0.996811i | −0.999995 | − | 0.00318393i | \(-0.998987\pi\) |
0.00318393 | + | 0.999995i | \(0.498987\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.85390 | + | 10.2576i | −0.0355124 | + | 0.0531481i | −0.848801 | − | 0.528712i | \(-0.822675\pi\) |
0.813289 | + | 0.581860i | \(0.197675\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 626.313 | + | 259.427i | 3.21186 | + | 1.33040i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 264.356 | − | 52.5838i | 1.34191 | − | 0.266923i | 0.528659 | − | 0.848834i | \(-0.322695\pi\) |
0.813252 | + | 0.581912i | \(0.197695\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 28.9406 | + | 5.75664i | 0.145430 | + | 0.0289278i | 0.267268 | − | 0.963622i | \(-0.413879\pi\) |
−0.121838 | + | 0.992550i | \(0.538879\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 66.5730 | − | 44.4826i | 0.331209 | − | 0.221307i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − | 87.6011i | − | 0.431532i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 153.625 | 0.749389 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 78.9143 | + | 118.104i | 0.381229 | + | 0.570549i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.477577 | − | 2.40094i | 0.00228506 | − | 0.0114878i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 52.3600 | + | 263.232i | 0.248152 | + | 1.24754i | 0.880944 | + | 0.473221i | \(0.156909\pi\) |
−0.632792 | + | 0.774322i | \(0.718091\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.382723 | + | 0.923975i | −0.00179682 | + | 0.00433791i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 238.984 | + | 159.684i | 1.11155 | + | 0.742716i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −101.627 | − | 101.627i | −0.468325 | − | 0.468325i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 39.9883 | − | 16.5637i | 0.182595 | − | 0.0756333i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −349.939 | − | 91.1173i | −1.58344 | − | 0.412295i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.61383 | − | 6.31033i | −0.0117212 | − | 0.0282975i | 0.917911 | − | 0.396787i | \(-0.129875\pi\) |
−0.929632 | + | 0.368490i | \(0.879875\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 182.267 | − | 182.267i | 0.810075 | − | 0.810075i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 116.461 | − | 174.296i | 0.513042 | − | 0.767822i | −0.481012 | − | 0.876714i | \(-0.659730\pi\) |
0.994054 | + | 0.108893i | \(0.0347305\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 142.199 | + | 58.9010i | 0.620958 | + | 0.257209i | 0.670906 | − | 0.741542i | \(-0.265905\pi\) |
−0.0499475 | + | 0.998752i | \(0.515905\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.26614 | + | 0.251850i | −0.00548111 | + | 0.00109026i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −115.303 | − | 22.9352i | −0.494863 | − | 0.0984344i | −0.0586517 | − | 0.998279i | \(-0.518680\pi\) |
−0.436212 | + | 0.899844i | \(0.643680\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 84.9700 | − | 56.7751i | 0.361574 | − | 0.241596i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 548.713i | 2.31524i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −19.5398 | −0.0817565 | −0.0408783 | − | 0.999164i | \(-0.513016\pi\) | ||||
−0.0408783 | + | 0.999164i | \(0.513016\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −161.730 | − | 242.046i | −0.671078 | − | 1.00434i | −0.998236 | − | 0.0593700i | \(-0.981091\pi\) |
0.327158 | − | 0.944970i | \(-0.393909\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 55.0053 | − | 276.530i | 0.226359 | − | 1.13799i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 55.4465 | + | 278.748i | 0.226312 | + | 1.13775i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −227.202 | + | 548.513i | −0.919845 | + | 2.22070i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −304.130 | − | 203.213i | −1.22141 | − | 0.816118i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 231.510 | + | 231.510i | 0.922351 | + | 0.922351i | 0.997195 | − | 0.0748445i | \(-0.0238461\pi\) |
−0.0748445 | + | 0.997195i | \(0.523846\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.88804 | + | 0.782052i | −0.00746261 | + | 0.00309111i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −326.775 | + | 432.159i | −1.28147 | + | 1.69474i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 78.9538 | + | 190.611i | 0.307213 | + | 0.741679i | 0.999793 | + | 0.0203374i | \(0.00647404\pi\) |
−0.692580 | + | 0.721341i | \(0.743526\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −91.3194 | + | 91.3194i | −0.352585 | + | 0.352585i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 78.3144 | − | 117.206i | 0.300055 | − | 0.449064i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −19.8413 | − | 8.21853i | −0.0754422 | − | 0.0312492i | 0.344643 | − | 0.938734i | \(-0.388000\pi\) |
−0.420085 | + | 0.907485i | \(0.638000\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −439.096 | + | 87.3416i | −1.65696 | + | 0.329591i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −480.233 | − | 95.5242i | −1.79862 | − | 0.357769i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 33.1072 | − | 22.1215i | 0.123075 | − | 0.0822361i | −0.492509 | − | 0.870307i | \(-0.663920\pi\) |
0.615584 | + | 0.788071i | \(0.288920\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 138.849i | 0.512358i | 0.966629 | + | 0.256179i | \(0.0824637\pi\) | ||||
−0.966629 | + | 0.256179i | \(0.917536\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 313.091 | 1.14686 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.06035 | + | 3.08353i | 0.00749217 | + | 0.0112128i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 81.2644 | − | 408.544i | 0.293373 | − | 1.47489i | −0.499932 | − | 0.866064i | \(-0.666642\pi\) |
0.793306 | − | 0.608823i | \(-0.208358\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −45.1182 | − | 226.824i | −0.161714 | − | 0.812990i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 54.2179 | − | 130.894i | 0.192946 | − | 0.465814i | −0.797567 | − | 0.603230i | \(-0.793880\pi\) |
0.990513 | + | 0.137417i | \(0.0438799\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 81.6352 | + | 54.5469i | 0.288464 | + | 0.192745i | 0.691380 | − | 0.722492i | \(-0.257003\pi\) |
−0.402916 | + | 0.915237i | \(0.632003\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 629.007 | + | 629.007i | 2.20704 | + | 2.20704i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 65.5499 | − | 27.1517i | 0.228397 | − | 0.0946051i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 140.944 | − | 252.301i | 0.487696 | − | 0.873014i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −128.142 | − | 309.362i | −0.440350 | − | 1.06310i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 167.690 | − | 167.690i | 0.572319 | − | 0.572319i | −0.360457 | − | 0.932776i | \(-0.617379\pi\) |
0.932776 | + | 0.360457i | \(0.117379\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 228.782 | − | 342.396i | 0.775531 | − | 1.16066i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.914253 | + | 0.378696i | 0.00307829 | + | 0.00127507i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 486.110 | − | 96.6932i | 1.62578 | − | 0.323389i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 130.194 | + | 25.8972i | 0.432539 | + | 0.0860373i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 94.0682 | − | 62.8544i | 0.310456 | − | 0.207440i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 864.361i | 2.83397i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −255.779 | −0.833156 | −0.416578 | − | 0.909100i | \(-0.636771\pi\) | ||||
−0.416578 | + | 0.909100i | \(0.636771\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −278.058 | − | 416.144i | −0.899865 | − | 1.34674i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −62.5356 | + | 314.388i | −0.201079 | + | 1.01089i | 0.739974 | + | 0.672635i | \(0.234838\pi\) |
−0.941053 | + | 0.338258i | \(0.890162\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.3249 | + | 66.9888i | 0.0425715 | + | 0.214022i | 0.996216 | − | 0.0869148i | \(-0.0277008\pi\) |
−0.953644 | + | 0.300936i | \(0.902701\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 72.4925 | − | 175.012i | 0.230135 | − | 0.555595i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 301.460 | + | 201.429i | 0.950977 | + | 0.635423i | 0.931249 | − | 0.364383i | \(-0.118720\pi\) |
0.0197279 | + | 0.999805i | \(0.493720\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.43406 | + | 1.43406i | 0.00449548 | + | 0.00449548i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 581.582 | − | 240.899i | 1.81178 | − | 0.750465i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −378.477 | − | 286.184i | −1.17176 | − | 0.886019i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −344.196 | − | 830.962i | −1.05906 | − | 2.55681i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −286.267 | + | 286.267i | −0.875434 | + | 0.875434i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 26.2213 | − | 39.2429i | 0.0796999 | − | 0.119279i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −461.121 | − | 191.002i | −1.39311 | − | 0.577047i | −0.445159 | − | 0.895452i | \(-0.646853\pi\) |
−0.947955 | + | 0.318405i | \(0.896853\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −203.819 | + | 40.5422i | −0.612070 | + | 0.121748i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −165.787 | − | 32.9771i | −0.494887 | − | 0.0984391i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −204.911 | + | 136.917i | −0.608045 | + | 0.406282i | −0.821122 | − | 0.570753i | \(-0.806651\pi\) |
0.213077 | + | 0.977035i | \(0.431651\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | − | 310.284i | − | 0.915293i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.32732 | 0.00975753 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 176.055 | + | 263.485i | 0.513279 | + | 0.768177i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 144.875 | − | 728.338i | 0.419929 | − | 2.11112i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 47.8276 | + | 240.446i | 0.137832 | + | 0.692927i | 0.986468 | + | 0.163951i | \(0.0524240\pi\) |
−0.848637 | + | 0.528976i | \(0.822576\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −87.5473 | + | 211.358i | −0.250852 | + | 0.605610i | −0.998273 | − | 0.0587404i | \(-0.981292\pi\) |
0.747422 | + | 0.664350i | \(0.231292\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −199.555 | − | 133.338i | −0.568532 | − | 0.379881i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −388.219 | − | 388.219i | −1.09977 | − | 1.09977i | −0.994437 | − | 0.105334i | \(-0.966409\pi\) |
−0.105334 | − | 0.994437i | \(-0.533591\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.95068 | − | 0.807997i | 0.00549487 | − | 0.00227605i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −63.0515 | + | 242.152i | −0.176615 | + | 0.678296i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 152.572 | + | 368.342i | 0.424993 | + | 1.02602i | 0.980853 | + | 0.194748i | \(0.0623888\pi\) |
−0.555861 | + | 0.831275i | \(0.687611\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −295.608 | + | 295.608i | −0.818859 | + | 0.818859i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −261.173 | + | 390.873i | −0.719484 | + | 1.07678i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −84.4225 | − | 34.9689i | −0.231294 | − | 0.0958053i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 404.960 | − | 80.5516i | 1.10343 | − | 0.219487i | 0.390421 | − | 0.920637i | \(-0.372330\pi\) |
0.713014 | + | 0.701150i | \(0.247330\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 111.976 | + | 22.2734i | 0.303457 | + | 0.0603614i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −171.920 | + | 114.873i | −0.463397 | + | 0.309632i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 340.489i | − | 0.912838i | −0.889765 | − | 0.456419i | \(-0.849132\pi\) | ||
0.889765 | − | 0.456419i | \(-0.150868\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −550.852 | −1.46894 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −273.266 | − | 408.971i | −0.724843 | − | 1.08480i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 39.8953 | − | 200.567i | 0.105265 | − | 0.529201i | −0.891786 | − | 0.452457i | \(-0.850548\pi\) |
0.997051 | − | 0.0767442i | \(-0.0244525\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −149.022 | − | 749.186i | −0.391135 | − | 1.96637i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 195.150 | − | 471.134i | 0.509530 | − | 1.23012i | −0.434624 | − | 0.900612i | \(-0.643119\pi\) |
0.944154 | − | 0.329503i | \(-0.106881\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.26610 | + | 1.51416i | 0.00588597 | + | 0.00393288i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 151.041 | + | 151.041i | 0.390288 | + | 0.390288i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −186.645 | + | 77.3107i | −0.479806 | + | 0.198742i | −0.609460 | − | 0.792817i | \(-0.708614\pi\) |
0.129653 | + | 0.991559i | \(0.458614\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −23.1099 | + | 395.440i | −0.0591046 | + | 1.01135i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 226.772 | + | 547.476i | 0.577028 | + | 1.39307i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 819.135 | − | 819.135i | 2.07376 | − | 2.07376i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −111.788 | + | 167.302i | −0.281581 | + | 0.421416i | −0.945119 | − | 0.326727i | \(-0.894054\pi\) |
0.663537 | + | 0.748143i | \(0.269054\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 379.561 | + | 157.219i | 0.951281 | + | 0.394033i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 577.972 | − | 114.966i | 1.44133 | − | 0.286698i | 0.588333 | − | 0.808619i | \(-0.299785\pi\) |
0.852994 | + | 0.521921i | \(0.174785\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −791.467 | − | 157.433i | −1.96394 | − | 0.390652i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −673.181 | + | 449.805i | −1.66218 | + | 1.11063i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 2.98986i | − | 0.00734609i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 207.307 | 0.506862 | 0.253431 | − | 0.967353i | \(-0.418441\pi\) | ||||
0.253431 | + | 0.967353i | \(0.418441\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 98.3709 | + | 147.222i | 0.239345 | + | 0.358205i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 37.1034 | − | 186.531i | 0.0898387 | − | 0.451650i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 150.652 | + | 757.378i | 0.363016 | + | 1.82501i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 43.8585 | − | 105.884i | 0.105176 | − | 0.253918i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 435.437 | + | 290.950i | 1.03923 | + | 0.694390i | 0.953335 | − | 0.301914i | \(-0.0976255\pi\) |
0.0858935 | + | 0.996304i | \(0.472626\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.3957 | − | 14.3957i | −0.0341941 | − | 0.0341941i | 0.689803 | − | 0.723997i | \(-0.257697\pi\) |
−0.723997 | + | 0.689803i | \(0.757697\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 70.1655 | − | 29.0635i | 0.165876 | − | 0.0687080i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 711.999 | − | 98.8662i | 1.67529 | − | 0.232626i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 152.767 | + | 368.813i | 0.357769 | + | 0.863731i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −5.12541 | + | 5.12541i | −0.0119473 | + | 0.0119473i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 465.128 | − | 696.113i | 1.07918 | − | 1.61511i | 0.341615 | − | 0.939840i | \(-0.389026\pi\) |
0.737568 | − | 0.675273i | \(-0.235974\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 148.913 | + | 61.6818i | 0.343910 | + | 0.142452i | 0.547952 | − | 0.836510i | \(-0.315408\pi\) |
−0.204042 | + | 0.978962i | \(0.565408\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −722.801 | + | 143.774i | −1.66161 | + | 0.330515i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 637.866 | + | 126.879i | 1.45965 | + | 0.290342i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 186.969 | − | 124.928i | 0.425897 | − | 0.284575i | −0.324092 | − | 0.946025i | \(-0.605059\pi\) |
0.749989 | + | 0.661450i | \(0.230059\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 211.216i | 0.478948i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −15.9292 | −0.0359577 | −0.0179788 | − | 0.999838i | \(-0.505723\pi\) | ||||
−0.0179788 | + | 0.999838i | \(0.505723\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 574.304 | + | 859.507i | 1.29057 | + | 1.93148i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −133.473 | + | 671.016i | −0.298598 | + | 1.50115i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 81.0014 | + | 407.222i | 0.180404 | + | 0.906952i | 0.959857 | + | 0.280491i | \(0.0904973\pi\) |
−0.779453 | + | 0.626461i | \(0.784503\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.628592 | + | 1.51755i | −0.00139377 | + | 0.00336487i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −836.160 | − | 558.704i | −1.84583 | − | 1.23334i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −467.392 | − | 467.392i | −1.02724 | − | 1.02724i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −77.7913 | + | 32.2222i | −0.170222 | + | 0.0705081i | −0.466167 | − | 0.884697i | \(-0.654365\pi\) |
0.295945 | + | 0.955205i | \(0.404365\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 143.314 | − | 127.488i | 0.312230 | − | 0.277751i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 37.4240 | + | 90.3495i | 0.0811800 | + | 0.195986i | 0.959258 | − | 0.282532i | \(-0.0911743\pi\) |
−0.878078 | + | 0.478518i | \(0.841174\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −209.346 | + | 209.346i | −0.452151 | + | 0.452151i | −0.896068 | − | 0.443917i | \(-0.853589\pi\) |
0.443917 | + | 0.896068i | \(0.353589\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −671.733 | + | 1005.32i | −1.44459 | + | 2.16198i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 140.877 | + | 58.3533i | 0.301665 | + | 0.124954i | 0.528381 | − | 0.849007i | \(-0.322799\pi\) |
−0.226717 | + | 0.973961i | \(0.572799\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −76.5678 | + | 15.2303i | −0.163258 | + | 0.0324740i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 702.569 | + | 139.750i | 1.49165 | + | 0.296708i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.55527 | + | 1.70737i | −0.00540225 | + | 0.00360967i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 1180.21i | − | 2.48466i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −332.716 | −0.697518 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 236.440 | + | 353.857i | 0.493611 | + | 0.738741i | 0.991726 | − | 0.128370i | \(-0.0409744\pi\) |
−0.498115 | + | 0.867111i | \(0.665974\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −141.465 | + | 711.195i | −0.294107 | + | 1.47858i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −66.9099 | − | 336.379i | −0.138530 | − | 0.696436i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −270.530 | + | 653.118i | −0.557795 | + | 1.34664i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 134.367 | + | 89.7812i | 0.275908 | + | 0.184356i | 0.685824 | − | 0.727768i | \(-0.259442\pi\) |
−0.409916 | + | 0.912123i | \(0.634442\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 424.488 | + | 424.488i | 0.868073 | + | 0.868073i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −350.275 | + | 145.089i | −0.713390 | + | 0.295496i | −0.709707 | − | 0.704497i | \(-0.751173\pi\) |
−0.00368362 | + | 0.999993i | \(0.501173\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 371.338 | − | 128.989i | 0.753221 | − | 0.261642i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.67828 | + | 4.05173i | 0.00339047 | + | 0.00818532i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.689526 | − | 0.689526i | 0.00138738 | − | 0.00138738i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 279.737 | − | 418.656i | 0.560595 | − | 0.838990i | −0.437592 | − | 0.899174i | \(-0.644169\pi\) |
0.998187 | + | 0.0601837i | \(0.0191687\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.55905 | + | 1.88842i | 0.00909990 | + | 0.00376930i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −375.750 | + | 74.7414i | −0.747019 | + | 0.148591i | −0.553899 | − | 0.832584i | \(-0.686861\pi\) |
−0.193120 | + | 0.981175i | \(0.561861\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −234.259 | − | 46.5970i | −0.463879 | − | 0.0922712i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 915.722 | − | 611.866i | 1.80616 | − | 1.20684i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − | 785.732i | − | 1.54368i | −0.635818 | − | 0.771839i | \(-0.719337\pi\) | ||
0.635818 | − | 0.771839i | \(-0.280663\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −42.2025 | −0.0825881 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −174.964 | − | 261.853i | −0.341061 | − | 0.510434i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −206.138 | + | 1036.33i | −0.400268 | + | 2.01228i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.213168 | + | 1.07167i | 0.000412318 | + | 0.00207286i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 129.963 | − | 313.759i | 0.250411 | − | 0.604545i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −623.378 | − | 416.528i | −1.19650 | − | 0.799478i | −0.212419 | − | 0.977179i | \(-0.568134\pi\) |
−0.984085 | + | 0.177701i | \(0.943134\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 31.8557 | + | 31.8557i | 0.0609095 | + | 0.0609095i | 0.736905 | − | 0.675996i | \(-0.236286\pi\) |
−0.675996 | + | 0.736905i | \(0.736286\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −575.010 | + | 238.177i | −1.09526 | + | 0.453671i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 281.150 | − | 580.433i | 0.533492 | − | 1.10139i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.33064 | − | 12.8693i | −0.0100768 | − | 0.0243276i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 216.399 | − | 216.399i | 0.407532 | − | 0.407532i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 221.326 | − | 331.238i | 0.415246 | − | 0.621459i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1227.82 | − | 508.581i | −2.29500 | − | 0.950620i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −742.482 | + | 147.689i | −1.38265 | + | 0.275026i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.98044 | − | 0.592846i | −0.00552957 | − | 0.00109990i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 277.470 | − | 185.399i | 0.512883 | − | 0.342698i | −0.272045 | − | 0.962285i | \(-0.587700\pi\) |
0.784928 | + | 0.619587i | \(0.212700\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 303.828i | 0.559536i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 854.696 | 1.56825 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −30.8067 | − | 46.1055i | −0.0563195 | − | 0.0842880i | 0.802241 | − | 0.597000i | \(-0.203641\pi\) |
−0.858561 | + | 0.512712i | \(0.828641\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −125.320 | + | 630.026i | −0.228269 | + | 1.14759i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −125.915 | − | 633.017i | −0.228521 | − | 1.14885i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 204.741 | − | 494.289i | 0.370237 | − | 0.893832i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 903.358 | + | 603.605i | 1.62767 | + | 1.08758i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 211.539 | + | 211.539i | 0.379783 | + | 0.379783i | 0.871024 | − | 0.491240i | \(-0.163456\pi\) |
−0.491240 | + | 0.871024i | \(0.663456\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 688.604 | − | 285.229i | 1.23185 | − | 0.510249i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.93193 | − | 4.99627i | −0.00522625 | − | 0.00890601i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 307.358 | + | 742.028i | 0.545929 | + | 1.31799i | 0.920482 | + | 0.390784i | \(0.127796\pi\) |
−0.374553 | + | 0.927206i | \(0.622204\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −463.202 | + | 463.202i | −0.819826 | + | 0.819826i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −207.740 | + | 310.905i | −0.366384 | + | 0.548333i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −774.395 | − | 320.765i | −1.36098 | − | 0.563734i | −0.421649 | − | 0.906759i | \(-0.638549\pi\) |
−0.939326 | + | 0.343025i | \(0.888549\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −377.773 | + | 75.1437i | −0.661599 | + | 0.131600i | −0.514458 | − | 0.857515i | \(-0.672007\pi\) |
−0.147141 | + | 0.989116i | \(0.547007\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1026.04 | + | 204.093i | 1.79065 | + | 0.356183i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −819.211 | + | 547.379i | −1.42471 | + | 0.951964i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 595.187i | − | 1.03152i | −0.856733 | − | 0.515760i | \(-0.827510\pi\) | ||
0.856733 | − | 0.515760i | \(-0.172490\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 47.9324 | 0.0827849 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 198.140 | + | 296.538i | 0.341033 | + | 0.510393i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.933875 | − | 4.69491i | 0.00160184 | − | 0.00805301i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −207.504 | − | 1043.19i | −0.354707 | − | 1.78323i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −35.6932 | + | 86.1711i | −0.0608062 | + | 0.146799i | −0.951362 | − | 0.308074i | \(-0.900315\pi\) |
0.890556 | + | 0.454873i | \(0.150315\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −880.441 | − | 588.292i | −1.49481 | − | 0.998798i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −740.512 | − | 740.512i | −1.25298 | − | 1.25298i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 119.781 | − | 49.6147i | 0.201991 | − | 0.0836674i | −0.279395 | − | 0.960176i | \(-0.590134\pi\) |
0.481385 | + | 0.876509i | \(0.340134\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 455.616 | − | 267.366i | 0.765741 | − | 0.449354i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −43.8737 | − | 105.920i | −0.0734903 | − | 0.177421i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 113.420 | − | 113.420i | 0.189349 | − | 0.189349i | −0.606066 | − | 0.795415i | \(-0.707253\pi\) |
0.795415 | + | 0.606066i | \(0.207253\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −95.7900 | + | 143.360i | −0.159384 | + | 0.238535i | −0.902563 | − | 0.430557i | \(-0.858317\pi\) |
0.743179 | + | 0.669093i | \(0.233317\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −116.060 | − | 48.0735i | −0.192470 | − | 0.0797238i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 973.393 | − | 193.620i | 1.60891 | − | 0.320033i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −66.0397 | − | 13.1361i | −0.108797 | − | 0.0216410i | 0.140392 | − | 0.990096i | \(-0.455164\pi\) |
−0.249188 | + | 0.968455i | \(0.580164\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −283.000 | + | 189.095i | −0.464697 | + | 0.310500i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 265.003i | − | 0.433721i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 778.465 | 1.26993 | 0.634964 | − | 0.772542i | \(-0.281015\pi\) | ||||
0.634964 | + | 0.772542i | \(0.281015\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −331.613 | − | 496.293i | −0.539208 | − | 0.806981i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 24.3474 | − | 122.403i | 0.0394609 | − | 0.198383i | −0.956026 | − | 0.293282i | \(-0.905253\pi\) |
0.995487 | + | 0.0948984i | \(0.0302526\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −123.777 | − | 622.270i | −0.199963 | − | 1.00528i | −0.942176 | − | 0.335119i | \(-0.891224\pi\) |
0.742213 | − | 0.670164i | \(-0.233776\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −100.609 | + | 242.893i | −0.162012 | + | 0.391131i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 396.958 | + | 265.239i | 0.637172 | + | 0.425745i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 74.8434 | + | 74.8434i | 0.119749 | + | 0.119749i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −8.78727 | + | 3.63981i | −0.0140148 | + | 0.00580511i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −521.564 | − | 252.635i | −0.829196 | − | 0.401646i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 96.7206 | + | 233.504i | 0.153281 | + | 0.370054i | 0.981803 | − | 0.189903i | \(-0.0608175\pi\) |
−0.828521 | + | 0.559957i | \(0.810817\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 737.361 | − | 737.361i | 1.16487 | − | 1.16487i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −895.943 | + | 1340.87i | −1.41093 | + | 2.11161i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 680.904 | + | 282.040i | 1.06892 | + | 0.442762i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.53898 | − | 0.306122i | 0.00240842 | − | 0.000479065i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 744.788 | + | 148.147i | 1.16192 | + | 0.231119i | 0.738140 | − | 0.674648i | \(-0.235705\pi\) |
0.423776 | + | 0.905767i | \(0.360705\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −352.476 | + | 235.517i | −0.548174 | + | 0.366278i | −0.798604 | − | 0.601857i | \(-0.794428\pi\) |
0.250431 | + | 0.968135i | \(0.419428\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 1116.74i | − | 1.73138i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −112.330 | −0.173616 | −0.0868080 | − | 0.996225i | \(-0.527667\pi\) | ||||
−0.0868080 | + | 0.996225i | \(0.527667\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.44618 | + | 3.66097i | 0.00376916 | + | 0.00564094i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −108.940 | + | 547.680i | −0.167343 | + | 0.841291i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −124.155 | − | 624.171i | −0.190131 | − | 0.955852i | −0.951527 | − | 0.307565i | \(-0.900486\pi\) |
0.761396 | − | 0.648287i | \(-0.224514\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 478.757 | − | 1155.82i | 0.730926 | − | 1.76461i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −56.4648 | − | 37.7286i | −0.0859434 | − | 0.0574255i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −609.424 | − | 609.424i | −0.924771 | − | 0.924771i | 0.0725911 | − | 0.997362i | \(-0.476873\pi\) |
−0.997362 | + | 0.0725911i | \(0.976873\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −625.049 | + | 258.904i | −0.945612 | + | 0.391685i | −0.801580 | − | 0.597888i | \(-0.796007\pi\) |
−0.144032 | + | 0.989573i | \(0.546007\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 461.016 | + | 1327.18i | 0.695348 | + | 2.00179i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −331.918 | − | 801.322i | −0.499125 | − | 1.20500i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −380.991 | + | 380.991i | −0.571201 | + | 0.571201i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −14.7437 | + | 22.0655i | −0.0220384 | + | 0.0329829i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.53844 | − | 3.53674i | −0.0127249 | − | 0.00527085i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −162.715 | + | 32.3659i | −0.241775 | + | 0.0480920i | −0.314490 | − | 0.949261i | \(-0.601834\pi\) |
0.0727153 | + | 0.997353i | \(0.476834\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 467.927 | + | 93.0765i | 0.693226 | + | 0.137891i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −175.811 | + | 117.473i | −0.259691 | + | 0.173520i | −0.678600 | − | 0.734508i | \(-0.737413\pi\) |
0.418909 | + | 0.908028i | \(0.362413\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 326.492i | 0.480842i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −814.462 | −1.19598 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −136.286 | − | 203.966i | −0.199540 | − | 0.298633i | 0.718183 | − | 0.695855i | \(-0.244974\pi\) |
−0.917723 | + | 0.397222i | \(0.869974\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 72.9271 | − | 366.629i | 0.106463 | − | 0.535225i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −116.667 | − | 586.526i | −0.169822 | − | 0.853750i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −444.280 | + | 1072.59i | −0.644819 | + | 1.55673i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 31.2175 | + | 20.8589i | 0.0451773 | + | 0.0301865i | 0.577954 | − | 0.816069i | \(-0.303851\pi\) |
−0.532777 | + | 0.846256i | \(0.678851\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.43221 | + | 1.43221i | 0.00206668 | + | 0.00206668i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −223.540 | + | 92.5933i | −0.321640 | + | 0.133228i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 211.615 | + | 237.884i | 0.303608 | + | 0.341297i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 174.799 | + | 422.001i | 0.250070 | + | 0.603721i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −287.297 | + | 287.297i | −0.409839 | + | 0.409839i | −0.881682 | − | 0.471843i | \(-0.843589\pi\) |
0.471843 | + | 0.881682i | \(0.343589\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −528.626 | + | 791.145i | −0.751958 | + | 1.12538i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −366.831 | − | 151.946i | −0.520327 | − | 0.215527i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −108.191 | + | 21.5205i | −0.153028 | + | 0.0304392i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 303.065 | + | 60.2833i | 0.427454 | + | 0.0850259i | 0.404129 | − | 0.914702i | \(-0.367575\pi\) |
0.0233251 | + | 0.999728i | \(0.492575\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 715.823 | − | 478.298i | 1.00678 | − | 0.672711i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 883.980i | 1.23980i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 15.3027 | 0.0214024 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 42.1784 | + | 63.1245i | 0.0588263 | + | 0.0880397i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 26.5894 | − | 133.674i | 0.0369811 | − | 0.185916i | −0.957880 | − | 0.287170i | \(-0.907285\pi\) |
0.994861 | + | 0.101254i | \(0.0322854\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 95.2036 | + | 478.621i | 0.132044 | + | 0.663829i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −432.835 | + | 1044.96i | −0.598665 | + | 1.44530i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 812.983 | + | 543.218i | 1.12136 | + | 0.749266i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −253.119 | − | 253.119i | −0.348169 | − | 0.348169i | 0.511258 | − | 0.859427i | \(-0.329180\pi\) |
−0.859427 | + | 0.511258i | \(0.829180\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −191.376 | + | 79.2705i | −0.262518 | + | 0.108739i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 81.9287 | + | 590.021i | 0.112078 | + | 0.807143i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 407.121 | + | 982.876i | 0.555417 | + | 1.34090i | 0.913360 | + | 0.407152i | \(0.133478\pi\) |
−0.357943 | + | 0.933743i | \(0.616522\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 780.826 | − | 780.826i | 1.06235 | − | 1.06235i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.00412 | − | 1.50276i | 0.00136244 | − | 0.00203903i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1310.69 | − | 542.908i | −1.77361 | − | 0.734652i | −0.994127 | − | 0.108224i | \(-0.965484\pi\) |
−0.779479 | − | 0.626428i | \(-0.784516\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2262.44 | − | 450.027i | 3.05322 | − | 0.607324i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −212.178 | − | 42.2048i | −0.285569 | − | 0.0568033i | 0.0502272 | − | 0.998738i | \(-0.484005\pi\) |
−0.335797 | + | 0.941935i | \(0.609005\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1200.97 | − | 802.460i | 1.61203 | − | 1.07713i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 573.888i | 0.768258i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −613.785 | −0.819473 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 297.756 | + | 445.624i | 0.396480 | + | 0.593374i | 0.974976 | − | 0.222311i | \(-0.0713601\pi\) |
−0.578496 | + | 0.815685i | \(0.696360\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 248.171 | − | 1247.64i | 0.329577 | − | 1.65689i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 414.194 | + | 2082.30i | 0.548602 | + | 2.75801i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −407.417 | + | 983.591i | −0.538199 | + | 1.29933i | 0.387780 | + | 0.921752i | \(0.373242\pi\) |
−0.925979 | + | 0.377575i | \(0.876758\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6.60196 | + | 4.41129i | 0.00869824 | + | 0.00581198i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 201.488 | + | 201.488i | 0.264767 | + | 0.264767i | 0.826987 | − | 0.562221i | \(-0.190053\pi\) |
−0.562221 | + | 0.826987i | \(0.690053\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 364.689 | − | 151.059i | 0.477967 | − | 0.197980i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 848.614 | + | 49.5938i | 1.10930 | + | 0.0648285i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −408.652 | − | 986.574i | −0.532793 | − | 1.28628i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −534.338 | + | 534.338i | −0.694848 | + | 0.694848i | −0.963295 | − | 0.268447i | \(-0.913490\pi\) |
0.268447 | + | 0.963295i | \(0.413490\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 445.352 | − | 666.517i | 0.577629 | − | 0.864483i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1405.69 | − | 582.255i | −1.81848 | − | 0.753241i | −0.977092 | − | 0.212816i | \(-0.931737\pi\) |
−0.841392 | − | 0.540425i | \(-0.818263\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1573.34 | − | 312.956i | 2.03011 | − | 0.403814i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 492.134 | + | 97.8915i | 0.633377 | + | 0.125986i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 434.645 | − | 290.421i | 0.557953 | − | 0.372812i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.0225755i | 2.89059e-5i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 260.906 | 0.333214 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −840.193 | − | 1257.44i | −1.07031 | − | 1.60183i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.0318 | − | 135.898i | 0.0343479 | − | 0.172678i | −0.959804 | − | 0.280672i | \(-0.909443\pi\) |
0.994152 | + | 0.107994i | \(0.0344426\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 16.2788 | + | 81.8389i | 0.0206321 | + | 0.103725i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −115.776 | + | 279.509i | −0.146367 | + | 0.353362i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1863.69 | + | 1245.28i | 2.35018 | + | 1.57034i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1229.99 | + | 1229.99i | 1.54716 | + | 1.54716i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −136.696 | + | 56.6212i | −0.171513 | + | 0.0710429i | −0.466788 | − | 0.884369i | \(-0.654589\pi\) |
0.295275 | + | 0.955412i | \(0.404589\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 204.959 | + | 53.3673i | 0.256520 | + | 0.0667926i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 293.989 | + | 709.753i | 0.367028 | + | 0.886084i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.690869 | − | 0.690869i | 0.000860359 | − | 0.000860359i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −402.271 | + | 602.041i | −0.499716 | + | 0.747877i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −142.930 | − | 59.2034i | −0.177112 | − | 0.0733623i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −942.361 | + | 187.447i | −1.16485 | + | 0.231702i | −0.739391 | − | 0.673277i | \(-0.764886\pi\) |
−0.425456 | + | 0.904979i | \(0.639886\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1368.83 | − | 272.277i | −1.68783 | − | 0.335730i | −0.744508 | − | 0.667613i | \(-0.767316\pi\) |
−0.943321 | + | 0.331883i | \(0.892316\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 448.560 | − | 299.718i | 0.551734 | − | 0.368657i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − | 1267.38i | − | 1.55506i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 978.023 | 1.19709 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −272.913 | − | 408.443i | −0.333227 | − | 0.498710i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −26.8636 | + | 135.052i | −0.0327205 | + | 0.164497i | −0.993691 | − | 0.112155i | \(-0.964225\pi\) |
0.960970 | + | 0.276652i | \(0.0892248\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −82.8060 | − | 416.294i | −0.100615 | − | 0.505825i | −0.997923 | − | 0.0644201i | \(-0.979480\pi\) |
0.897308 | − | 0.441405i | \(-0.145520\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 5.51407 | − | 13.3121i | 0.00668372 | − | 0.0161359i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −894.308 | − | 597.557i | −1.08139 | − | 0.722560i | −0.118633 | − | 0.992938i | \(-0.537851\pi\) |
−0.962754 | + | 0.270378i | \(0.912851\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 450.914 | + | 450.914i | 0.543925 | + | 0.543925i | 0.924677 | − | 0.380752i | \(-0.124335\pi\) |
−0.380752 | + | 0.924677i | \(0.624335\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1495.24 | + | 619.349i | −1.79933 | + | 0.745306i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −355.258 | + | 469.827i | −0.426480 | + | 0.564018i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.98679 | − | 9.62497i | −0.00477460 | − | 0.0115269i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 302.679 | − | 302.679i | 0.361624 | − | 0.361624i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −230.150 | + | 344.444i | −0.274315 | + | 0.410541i | −0.942890 | − | 0.333103i | \(-0.891904\pi\) |
0.668576 | + | 0.743644i | \(0.266904\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −282.978 | − | 117.214i | −0.336479 | − | 0.139374i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −539.894 | + | 107.392i | −0.640443 | + | 0.127392i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2280.43 | − | 453.606i | −2.69873 | − | 0.536812i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 381.115 | − | 254.653i | 0.449959 | − | 0.300653i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 381.472i | − | 0.449319i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 794.325 | 0.933402 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −479.018 | − | 716.901i | −0.561569 | − | 0.840447i | 0.436679 | − | 0.899617i | \(-0.356154\pi\) |
−0.998248 | + | 0.0591704i | \(0.981154\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 272.283 | − | 1368.86i | 0.318460 | − | 1.60101i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −147.834 | − | 743.214i | −0.172502 | − | 0.867227i | −0.965978 | − | 0.258625i | \(-0.916731\pi\) |
0.793476 | − | 0.608602i | \(-0.208269\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −588.493 | + | 1420.75i | −0.685090 | + | 1.65395i | 0.0693551 | + | 0.997592i | \(0.477906\pi\) |
−0.754446 | + | 0.656363i | \(0.772094\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −229.210 | − | 153.153i | −0.266214 | − | 0.177879i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −171.290 | − | 171.290i | −0.198483 | − | 0.198483i | 0.600867 | − | 0.799349i | \(-0.294822\pi\) |
−0.799349 | + | 0.600867i | \(0.794822\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −662.402 | + | 274.376i | −0.765782 | + | 0.317197i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1119.31 | + | 89.2863i | −1.29102 | + | 0.102983i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 4.73999 | + | 11.4434i | 0.00545454 | + | 0.0131684i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −309.952 | + | 309.952i | −0.355857 | + | 0.355857i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −291.880 | + | 436.829i | −0.334341 | + | 0.500377i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 496.216 | + | 205.540i | 0.567104 | + | 0.234902i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 317.592 | − | 63.1730i | 0.362135 | − | 0.0720331i | −0.0106695 | − | 0.999943i | \(-0.503396\pi\) |
0.372804 | + | 0.927910i | \(0.378396\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −903.703 | − | 179.758i | −1.02810 | − | 0.204503i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 181.644 | − | 121.371i | 0.206179 | − | 0.137765i | −0.448194 | − | 0.893936i | \(-0.647933\pi\) |
0.654373 | + | 0.756172i | \(0.272933\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1120.65i | 1.26914i | 0.772865 | + | 0.634571i | \(0.218823\pi\) | ||||
−0.772865 | + | 0.634571i | \(0.781177\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1599.97 | −1.80788 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −219.375 | − | 328.318i | −0.247322 | − | 0.370144i | 0.686950 | − | 0.726705i | \(-0.258949\pi\) |
−0.934272 | + | 0.356561i | \(0.883949\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −145.302 | + | 730.484i | −0.163445 | + | 0.821692i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.68884 | − | 8.49038i | −0.00189545 | − | 0.00952905i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 133.072 | − | 321.264i | 0.149017 | − | 0.359758i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1328.87 | + | 887.925i | 1.48477 | + | 0.992095i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1361.68 | − | 1361.68i | −1.51804 | − | 1.51804i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 810.482 | − | 335.713i | 0.901537 | − | 0.373429i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −740.091 | − | 559.617i | −0.821411 | − | 0.621107i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −197.373 | − | 476.501i | −0.218575 | − | 0.527687i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 453.563 | − | 453.563i | 0.501175 | − | 0.501175i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 875.138 | − | 1309.74i | 0.964871 | − | 1.44403i | 0.0700822 | − | 0.997541i | \(-0.477674\pi\) |
0.894789 | − | 0.446490i | \(-0.147326\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −163.993 | − | 67.9282i | −0.180411 | − | 0.0747285i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 716.336 | − | 142.488i | 0.786318 | − | 0.156408i | 0.214429 | − | 0.976740i | \(-0.431211\pi\) |
0.571889 | + | 0.820331i | \(0.306211\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.09805 | − | 1.61080i | −0.00886971 | − | 0.00176430i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2792.37 | − | 1865.80i | 3.05177 | − | 2.03913i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 577.791i | − | 0.630088i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 923.450 | 1.00484 | 0.502421 | − | 0.864623i | \(-0.332443\pi\) | ||||
0.502421 | + | 0.864623i | \(0.332443\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 552.121 | + | 826.308i | 0.599480 | + | 0.897186i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1.06816 | − | 5.37003i | 0.00115727 | − | 0.00581801i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −281.216 | − | 1413.77i | −0.304017 | − | 1.52840i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −300.504 | + | 725.482i | −0.324169 | + | 0.782612i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 951.498 | + | 635.771i | 1.02422 | + | 0.684360i | 0.949797 | − | 0.312866i | \(-0.101289\pi\) |
0.0744207 | + | 0.997227i | \(0.476289\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 683.833 | + | 683.833i | 0.734515 | + | 0.734515i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1150.64 | − | 476.609i | 1.23327 | − | 0.510835i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.08172 | + | 11.8355i | −0.00329595 | + | 0.0126582i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −650.198 | − | 1569.72i | −0.693915 | − | 1.67526i | −0.736740 | − | 0.676176i | \(-0.763636\pi\) |
0.0428257 | − | 0.999083i | \(-0.486364\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 187.648 | − | 187.648i | 0.199838 | − | 0.199838i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −864.792 | + | 1294.25i | −0.919013 | + | 1.37540i | 0.00783674 | + | 0.999969i | \(0.497505\pi\) |
−0.926850 | + | 0.375431i | \(0.877495\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −403.174 | − | 167.000i | −0.427544 | − | 0.177094i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 343.882 | − | 68.4023i | 0.363896 | − | 0.0723834i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1703.17 | + | 338.781i | 1.79849 | + | 0.357742i | 0.977126 | − | 0.212663i | \(-0.0682137\pi\) |
0.821364 | + | 0.570405i | \(0.193214\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −197.025 | + | 131.648i | −0.207613 | + | 0.138723i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 1408.69i | − | 1.48127i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 164.915 | 0.173049 | 0.0865243 | − | 0.996250i | \(-0.472424\pi\) | ||||
0.0865243 | + | 0.996250i | \(0.472424\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1227.03 | − | 1836.39i | −1.28485 | − | 1.92292i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.53726 | − | 7.72835i | 0.00160634 | − | 0.00807560i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −33.6809 | − | 169.326i | −0.0351209 | − | 0.176565i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 183.024 | − | 441.859i | 0.190452 | − | 0.459791i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −821.214 | − | 548.717i | −0.852766 | − | 0.569800i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −71.5550 | − | 71.5550i | −0.0741503 | − | 0.0741503i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 709.632 | − | 293.939i | 0.733849 | − | 0.303970i | 0.0157162 | − | 0.999876i | \(-0.494997\pi\) |
0.718132 | + | 0.695906i | \(0.244997\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −107.557 | + | 1840.45i | −0.110998 | + | 1.89932i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −287.115 | − | 693.158i | −0.295690 | − | 0.713860i | −0.999992 | − | 0.00395900i | \(-0.998740\pi\) |
0.704302 | − | 0.709901i | \(-0.251260\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −79.0169 | + | 79.0169i | −0.0812096 | + | 0.0812096i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1941.49 | + | 2905.65i | −1.99127 | + | 2.98015i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −505.520 | − | 209.393i | −0.517421 | − | 0.214323i | 0.108663 | − | 0.994079i | \(-0.465343\pi\) |
−0.626084 | + | 0.779756i | \(0.715343\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −10.8404 | + | 2.15629i | −0.0110729 | + | 0.00220254i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 622.981 | + | 123.919i | 0.635046 | + | 0.126319i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1121.39 | + | 749.286i | −1.14078 | + | 0.762245i | −0.974623 | − | 0.223855i | \(-0.928136\pi\) |
−0.166157 | + | 0.986099i | \(0.553136\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2210.92i | 2.24458i | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −183.377 | −0.185793 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −453.604 | − | 678.866i | −0.458649 | − | 0.686416i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 384.547 | − | 1933.25i | 0.388039 | − | 1.95080i | 0.0914028 | − | 0.995814i | \(-0.470865\pi\) |
0.296636 | − | 0.954991i | \(-0.404135\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 378.326 | + | 1901.97i | 0.380993 | + | 1.91538i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −92.6253 | + | 223.617i | −0.0930907 | + | 0.224741i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1258.12 | + | 840.652i | 1.26191 | + | 0.843182i | 0.992783 | − | 0.119923i | \(-0.0382648\pi\) |
0.269127 | + | 0.963105i | \(0.413265\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −271.981 | − | 271.981i | −0.272253 | − | 0.272253i |
(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 | 136.3.t.a.73.1 | yes | 32 | |
4.3 | odd | 2 | 272.3.bh.f.209.4 | 32 | |||
17.7 | odd | 16 | inner | 136.3.t.a.41.1 | ✓ | 32 | |
68.7 | even | 16 | 272.3.bh.f.177.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
136.3.t.a.41.1 | ✓ | 32 | 17.7 | odd | 16 | inner | |
136.3.t.a.73.1 | yes | 32 | 1.1 | even | 1 | trivial | |
272.3.bh.f.177.4 | 32 | 68.7 | even | 16 | |||
272.3.bh.f.209.4 | 32 | 4.3 | odd | 2 |