Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(367,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.367");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1008.cz (of order \(6\), degree \(2\), 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: | \(8.04892052375\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 607.8 | ||
Character | \(\chi\) | \(=\) | 1008.607 |
Dual form | 1008.2.cz.g.367.8 |
$q$-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 \(\left(\mathbb{Z}/1008\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(577\) | \(757\) | \(785\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 | ||||||||
\(3\) | 1.02195 | − | 1.39843i | 0.590026 | − | 0.807384i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.67461 | + | 2.12154i | −1.64334 | + | 0.948780i | −0.663699 | + | 0.748000i | \(0.731014\pi\) |
−0.979636 | + | 0.200781i | \(0.935652\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.04787 | + | 1.67518i | 0.774023 | + | 0.633158i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.911216 | − | 2.85827i | −0.303739 | − | 0.952755i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.49616 | − | 0.863811i | −0.451111 | − | 0.260449i | 0.257189 | − | 0.966361i | \(-0.417204\pi\) |
−0.708299 | + | 0.705912i | \(0.750537\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.74353 | − | 1.58398i | −0.760919 | − | 0.439317i | 0.0687067 | − | 0.997637i | \(-0.478113\pi\) |
−0.829626 | + | 0.558320i | \(0.811446\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.788464 | + | 7.30680i | −0.203580 | + | 1.88661i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.64191 | − | 2.10266i | 0.883293 | − | 0.509970i | 0.0115504 | − | 0.999933i | \(-0.496323\pi\) |
0.871743 | + | 0.489964i | \(0.162990\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.66963 | − | 6.35599i | 0.841871 | − | 1.45816i | −0.0464402 | − | 0.998921i | \(-0.514788\pi\) |
0.888311 | − | 0.459242i | \(-0.151879\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.43545 | − | 1.15185i | 0.967895 | − | 0.251354i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.84515 | − | 2.22000i | 0.801770 | − | 0.462902i | −0.0423200 | − | 0.999104i | \(-0.513475\pi\) |
0.844090 | + | 0.536202i | \(0.180142\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.50184 | − | 11.2615i | 1.30037 | − | 2.25230i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.92831 | − | 1.64675i | −0.948453 | − | 0.316917i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.0835405 | − | 0.144696i | −0.0155131 | − | 0.0268694i | 0.858165 | − | 0.513375i | \(-0.171605\pi\) |
−0.873678 | + | 0.486505i | \(0.838271\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.94485 | 0.349306 | 0.174653 | − | 0.984630i | \(-0.444120\pi\) | ||||
0.174653 | + | 0.984630i | \(0.444120\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.73699 | + | 1.20951i | −0.476449 | + | 0.210548i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −11.0791 | − | 1.81099i | −1.87271 | − | 0.306113i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.04487 | − | 8.73797i | 0.829371 | − | 1.43651i | −0.0691613 | − | 0.997605i | \(-0.522032\pi\) |
0.898532 | − | 0.438907i | \(-0.144634\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.01885 | + | 2.21788i | −0.803659 | + | 0.355146i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.21912 | + | 3.01326i | 0.815090 | + | 0.470593i | 0.848720 | − | 0.528842i | \(-0.177374\pi\) |
−0.0336303 | + | 0.999434i | \(0.510707\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.51626 | − | 2.03012i | 0.536225 | − | 0.309590i | −0.207323 | − | 0.978273i | \(-0.566475\pi\) |
0.743548 | + | 0.668683i | \(0.233142\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 9.41228 | + | 8.56983i | 1.40310 | + | 1.27752i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −9.44670 | −1.37794 | −0.688971 | − | 0.724789i | \(-0.741937\pi\) | ||||
−0.688971 | + | 0.724789i | \(0.741937\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.38756 | + | 6.86110i | 0.198223 | + | 0.980157i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.781447 | − | 7.24178i | 0.109425 | − | 1.01405i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.59479 | + | 4.49430i | 0.356422 | + | 0.617340i | 0.987360 | − | 0.158493i | \(-0.0506634\pi\) |
−0.630939 | + | 0.775833i | \(0.717330\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.33043 | 0.988435 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.13821 | − | 11.6273i | −0.680572 | − | 1.54007i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.67413 | −0.868898 | −0.434449 | − | 0.900697i | \(-0.643057\pi\) | ||||
−0.434449 | + | 0.900697i | \(0.643057\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 7.00089i | − | 0.896372i | −0.893940 | − | 0.448186i | \(-0.852070\pi\) | ||
0.893940 | − | 0.448186i | \(-0.147930\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.92205 | − | 7.37981i | 0.368144 | − | 0.929769i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 13.4419 | 1.66726 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.7195i | 1.30959i | 0.755805 | + | 0.654797i | \(0.227246\pi\) | ||||
−0.755805 | + | 0.654797i | \(0.772754\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.825057 | − | 7.64592i | 0.0993252 | − | 0.920460i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 2.30845i | − | 0.273963i | −0.990574 | − | 0.136981i | \(-0.956260\pi\) | ||
0.990574 | − | 0.136981i | \(-0.0437401\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.81533 | − | 1.62543i | 0.329509 | − | 0.190242i | −0.326114 | − | 0.945330i | \(-0.605739\pi\) |
0.655623 | + | 0.755088i | \(0.272406\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −9.10386 | − | 20.6011i | −1.05122 | − | 2.37881i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.61692 | − | 4.27532i | −0.184265 | − | 0.487217i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.38834i | 0.268709i | 0.990933 | + | 0.134355i | \(0.0428961\pi\) | ||||
−0.990933 | + | 0.134355i | \(0.957104\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.33937 | + | 5.20900i | −0.815486 | + | 0.578777i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.341572 | + | 0.591621i | 0.0374924 | + | 0.0649388i | 0.884163 | − | 0.467179i | \(-0.154730\pi\) |
−0.846670 | + | 0.532118i | \(0.821396\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.92174 | + | 15.4529i | −0.967698 | + | 1.67610i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.287722 | − | 0.0310476i | −0.0308471 | − | 0.00332865i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −8.57197 | − | 4.94903i | −0.908627 | − | 0.524596i | −0.0286381 | − | 0.999590i | \(-0.509117\pi\) |
−0.879989 | + | 0.474994i | \(0.842450\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.96496 | − | 7.83969i | −0.310812 | − | 0.821823i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.98755 | − | 2.71974i | 0.206100 | − | 0.282024i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 31.1410i | 3.19500i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.8382 | + | 6.83477i | −1.20198 | + | 0.693966i | −0.960996 | − | 0.276562i | \(-0.910805\pi\) |
−0.240988 | + | 0.970528i | \(0.577471\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.10567 | + | 5.06355i | −0.111124 | + | 0.508906i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.64741 | − | 4.99259i | −0.860450 | − | 0.496781i | 0.00371322 | − | 0.999993i | \(-0.498818\pi\) |
−0.864163 | + | 0.503212i | \(0.832151\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.39212 | − | 4.14327i | −0.235703 | − | 0.408249i | 0.723774 | − | 0.690037i | \(-0.242406\pi\) |
−0.959477 | + | 0.281788i | \(0.909072\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −13.8549 | + | 13.6426i | −1.35210 | + | 1.33138i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.92894 | − | 4.57778i | −0.766520 | − | 0.442550i | 0.0651118 | − | 0.997878i | \(-0.479260\pi\) |
−0.831632 | + | 0.555327i | \(0.812593\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.40626 | + | 2.43572i | 0.134695 | + | 0.233299i | 0.925481 | − | 0.378794i | \(-0.123661\pi\) |
−0.790786 | + | 0.612093i | \(0.790328\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.06381 | − | 15.9847i | −0.670467 | − | 1.51720i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.95991 | − | 15.5190i | 0.842877 | − | 1.45991i | −0.0445745 | − | 0.999006i | \(-0.514193\pi\) |
0.887452 | − | 0.460900i | \(-0.152473\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.41962 | + | 16.3153i | −0.878384 | + | 1.52141i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.02748 | + | 9.28509i | −0.187441 | + | 0.858407i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 10.9805 | + | 1.79487i | 1.00658 | + | 0.164536i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.00766 | − | 6.94147i | −0.364333 | − | 0.631043i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.54755 | − | 4.21916i | 0.860873 | − | 0.380429i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 33.9602i | 3.03749i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.93987i | 0.793285i | 0.917973 | + | 0.396642i | \(0.129825\pi\) | ||||
−0.917973 | + | 0.396642i | \(0.870175\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.754487 | − | 6.99193i | 0.0664289 | − | 0.615606i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.77456 | + | 16.9300i | 0.854007 | + | 1.47918i | 0.877563 | + | 0.479461i | \(0.159168\pi\) |
−0.0235563 | + | 0.999723i | \(0.507499\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 18.1623 | − | 6.86896i | 1.57487 | − | 0.595614i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 21.6032 | − | 4.40444i | 1.85931 | − | 0.379074i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.42416 | − | 11.1270i | 0.548853 | − | 0.950641i | −0.449501 | − | 0.893280i | \(-0.648398\pi\) |
0.998354 | − | 0.0573608i | \(-0.0182685\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.22078 | + | 3.84650i | −0.188364 | + | 0.326256i | −0.944705 | − | 0.327922i | \(-0.893652\pi\) |
0.756341 | + | 0.654178i | \(0.226985\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.65410 | + | 13.2106i | −0.813022 | + | 1.11253i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.73652 | + | 4.73979i | 0.228839 | + | 0.396361i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.613957 | + | 0.354468i | 0.0509864 | + | 0.0294370i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 11.0128 | + | 5.07133i | 0.908320 | + | 0.418276i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.69553 | − | 4.66879i | −0.220826 | − | 0.382483i | 0.734233 | − | 0.678898i | \(-0.237542\pi\) |
−0.955059 | + | 0.296415i | \(0.904209\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.26042 | + | 1.30506i | 0.183951 | + | 0.106204i | 0.589148 | − | 0.808025i | \(-0.299464\pi\) |
−0.405197 | + | 0.914229i | \(0.632797\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −9.32853 | − | 8.49358i | −0.754167 | − | 0.686665i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.14657 | + | 4.12608i | −0.574027 | + | 0.331414i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 9.38214i | − | 0.748777i | −0.927272 | − | 0.374388i | \(-0.877853\pi\) | ||
0.927272 | − | 0.374388i | \(-0.122147\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 8.93673 | + | 0.964346i | 0.708729 | + | 0.0764776i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.5933 | + | 1.89504i | 0.913678 | + | 0.149350i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.5275 | + | 6.07803i | 0.824574 | + | 0.476068i | 0.851991 | − | 0.523556i | \(-0.175395\pi\) |
−0.0274172 | + | 0.999624i | \(0.508728\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 7.49137 | − | 10.2511i | 0.583202 | − | 0.798047i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.63000 | − | 2.82325i | 0.126133 | − | 0.218469i | −0.796042 | − | 0.605241i | \(-0.793077\pi\) |
0.922175 | + | 0.386772i | \(0.126410\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.48202 | − | 2.56694i | −0.114002 | − | 0.197457i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −21.5109 | − | 4.69710i | −1.64498 | − | 0.359196i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − | 9.52521i | − | 0.724188i | −0.932142 | − | 0.362094i | \(-0.882062\pi\) | ||
0.932142 | − | 0.362094i | \(-0.117938\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 32.1800 | − | 12.1704i | 2.43258 | − | 0.919996i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.82066 | + | 9.33331i | −0.512672 | + | 0.701534i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.51383 | − | 0.874013i | 0.113149 | − | 0.0653268i | −0.442357 | − | 0.896839i | \(-0.645858\pi\) |
0.555507 | + | 0.831512i | \(0.312524\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.25839i | 0.167865i | 0.996471 | + | 0.0839324i | \(0.0267480\pi\) | ||||
−0.996471 | + | 0.0839324i | \(0.973252\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.79025 | − | 7.15459i | −0.723716 | − | 0.528882i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 42.8115i | 3.14756i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.26520 | −0.531284 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −7.33395 | − | 11.6281i | −0.533466 | − | 0.845821i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 12.3640i | − | 0.894626i | −0.894378 | − | 0.447313i | \(-0.852381\pi\) | ||
0.894378 | − | 0.447313i | \(-0.147619\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 22.7705 | 1.63906 | 0.819528 | − | 0.573040i | \(-0.194236\pi\) | ||||
0.819528 | + | 0.573040i | \(0.194236\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 13.7370 | − | 18.7975i | 0.983727 | − | 1.34612i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 26.3375 | 1.87647 | 0.938234 | − | 0.346002i | \(-0.112461\pi\) | ||||
0.938234 | + | 0.346002i | \(0.112461\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.27112 | − | 7.39780i | −0.302772 | − | 0.524416i | 0.673991 | − | 0.738740i | \(-0.264579\pi\) |
−0.976763 | + | 0.214324i | \(0.931245\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 14.9905 | + | 10.9548i | 1.05735 | + | 0.772694i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.0713119 | − | 0.436265i | 0.00500512 | − | 0.0306198i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −25.5710 | −1.78596 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.84911 | − | 8.96757i | −0.684561 | − | 0.623289i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −10.9807 | + | 6.33973i | −0.759554 | + | 0.438529i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.17846 | − | 2.41243i | −0.287657 | − | 0.166079i | 0.349228 | − | 0.937038i | \(-0.386444\pi\) |
−0.636885 | + | 0.770959i | \(0.719777\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.22821 | − | 2.35913i | −0.221193 | − | 0.161645i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −8.61393 | + | 14.9198i | −0.587465 | + | 1.01752i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.98281 | + | 3.25797i | 0.270371 | + | 0.221166i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.604087 | − | 5.59816i | 0.0408204 | − | 0.378288i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −13.3223 | −0.896153 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.2777 | + | 22.9976i | 0.889139 | + | 1.54003i | 0.840895 | + | 0.541198i | \(0.182029\pi\) |
0.0482438 | + | 0.998836i | \(0.484638\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −38.1130 | − | 8.32231i | −2.54087 | − | 0.554821i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.08007 | + | 3.60278i | −0.138059 | + | 0.239125i | −0.926762 | − | 0.375649i | \(-0.877420\pi\) |
0.788703 | + | 0.614775i | \(0.210753\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.90847 | + | 1.67921i | −0.192197 | + | 0.110965i | −0.593011 | − | 0.805195i | \(-0.702061\pi\) |
0.400814 | + | 0.916160i | \(0.368728\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −7.63115 | − | 2.10804i | −0.502093 | − | 0.138699i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4.91358 | + | 8.51057i | −0.321899 | + | 0.557546i | −0.980880 | − | 0.194614i | \(-0.937655\pi\) |
0.658980 | + | 0.752160i | \(0.270988\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 34.7129 | − | 20.0415i | 2.26442 | − | 1.30736i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.33993 | + | 2.44077i | 0.216951 | + | 0.158545i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.74829 | − | 3.31878i | −0.371826 | − | 0.214674i | 0.302430 | − | 0.953172i | \(-0.402202\pi\) |
−0.674256 | + | 0.738498i | \(0.735536\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.3656 | + | 9.44866i | 1.05420 | + | 0.608642i | 0.923822 | − | 0.382823i | \(-0.125048\pi\) |
0.130377 | + | 0.991465i | \(0.458381\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.216086 | + | 15.5870i | −0.0138619 | + | 0.999904i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −19.6548 | − | 22.2681i | −1.25570 | − | 1.42266i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −20.1355 | + | 11.6252i | −1.28119 | + | 0.739696i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.17641 | + | 0.126944i | 0.0745521 | + | 0.00804478i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 17.5972 | 1.11072 | 0.555362 | − | 0.831609i | \(-0.312580\pi\) | ||||
0.555362 | + | 0.831609i | \(0.312580\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.67064 | −0.482249 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 12.4922 | + | 28.2686i | 0.782292 | + | 1.77025i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −14.6238 | + | 8.44306i | −0.912208 | + | 0.526664i | −0.881141 | − | 0.472854i | \(-0.843224\pi\) |
−0.0310671 | + | 0.999517i | \(0.509891\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 24.9689 | − | 9.44318i | 1.55149 | − | 0.586771i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.337457 | + | 0.370631i | −0.0208881 | + | 0.0229415i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 11.7039 | + | 6.75726i | 0.721694 | + | 0.416670i | 0.815376 | − | 0.578932i | \(-0.196530\pi\) |
−0.0936818 | + | 0.995602i | \(0.529864\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −19.0697 | − | 11.0099i | −1.17144 | − | 0.676331i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −15.6810 | + | 6.92962i | −0.959664 | + | 0.424086i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −0.860342 | + | 0.496719i | −0.0524560 | + | 0.0302855i | −0.525999 | − | 0.850485i | \(-0.676308\pi\) |
0.473543 | + | 0.880771i | \(0.342975\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.60397 | + | 4.51021i | −0.158180 | + | 0.273976i | −0.934212 | − | 0.356717i | \(-0.883896\pi\) |
0.776032 | + | 0.630693i | \(0.217229\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −13.9933 | − | 3.86553i | −0.846914 | − | 0.233952i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −19.4556 | + | 11.2327i | −1.17322 | + | 0.677358i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.39265 | − | 2.41215i | 0.0836765 | − | 0.144932i | −0.821150 | − | 0.570712i | \(-0.806667\pi\) |
0.904826 | + | 0.425781i | \(0.140000\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.77218 | − | 5.55891i | −0.106098 | − | 0.332803i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.74790 | + | 16.8839i | 0.581511 | + | 1.00721i | 0.995301 | + | 0.0968339i | \(0.0308716\pi\) |
−0.413790 | + | 0.910373i | \(0.635795\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −25.7862 | −1.53283 | −0.766417 | − | 0.642344i | \(-0.777962\pi\) | ||||
−0.766417 | + | 0.642344i | \(0.777962\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 43.5486 | + | 31.8247i | 2.57959 | + | 1.88513i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.64035 | + | 14.9137i | 0.332939 | + | 0.880330i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.342346 | − | 0.592960i | 0.0201380 | − | 0.0348800i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.54012 | + | 23.5397i | −0.148905 | + | 1.37992i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −6.06817 | − | 3.50346i | −0.354506 | − | 0.204674i | 0.312162 | − | 0.950029i | \(-0.398947\pi\) |
−0.666668 | + | 0.745355i | \(0.732280\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 24.5248 | − | 14.1594i | 1.42789 | − | 0.824393i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 5.95108 | + | 6.72093i | 0.345317 | + | 0.389988i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −14.0657 | −0.813442 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.6017 | + | 1.73295i | 0.611069 | + | 0.0998856i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −15.8190 | + | 6.99061i | −0.908781 | + | 0.401600i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 14.8526 | + | 25.7255i | 0.850460 | + | 1.47304i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.06699 | −0.117970 | −0.0589848 | − | 0.998259i | \(-0.518786\pi\) | ||||
−0.0589848 | + | 0.998259i | \(0.518786\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.23872 | − | 0.889025i | −0.468684 | − | 0.0505749i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.94436 | −0.507188 | −0.253594 | − | 0.967311i | \(-0.581613\pi\) | ||||
−0.253594 | + | 0.967311i | \(0.581613\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.43193i | 0.137461i | 0.997635 | + | 0.0687303i | \(0.0218948\pi\) | ||||
−0.997635 | + | 0.0687303i | \(0.978105\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 4.91915 | + | 33.3172i | 0.277163 | + | 1.87721i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −8.99171 | −0.505025 | −0.252512 | − | 0.967594i | \(-0.581257\pi\) | ||||
−0.252512 | + | 0.967594i | \(0.581257\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.288653i | 0.0161614i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −14.5047 | + | 6.40979i | −0.809575 | + | 0.357760i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 30.8639i | − | 1.71731i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −35.6760 | + | 20.5975i | −1.97895 | + | 1.14255i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.84332 | + | 0.522633i | 0.267836 | + | 0.0289017i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −19.3456 | − | 15.8249i | −1.06656 | − | 0.872455i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 4.44942i | − | 0.244562i | −0.992496 | − | 0.122281i | \(-0.960979\pi\) | ||
0.992496 | − | 0.122281i | \(-0.0390209\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −29.5724 | − | 6.45740i | −1.62056 | − | 0.353863i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −22.7418 | − | 39.3899i | −1.24252 | − | 2.15210i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.15784 | − | 5.46953i | 0.172018 | − | 0.297945i | −0.767107 | − | 0.641519i | \(-0.778304\pi\) |
0.939125 | + | 0.343575i | \(0.111638\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.5456 | − | 28.3895i | −0.681386 | − | 1.54191i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.90982 | − | 1.67998i | −0.157576 | − | 0.0909763i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.65202 | + | 16.3751i | −0.467165 | + | 0.884170i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 13.1893 | + | 29.8461i | 0.710090 | + | 1.60686i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 21.1224i | − | 1.13391i | −0.823750 | − | 0.566954i | \(-0.808122\pi\) | ||
0.823750 | − | 0.566954i | \(-0.191878\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.42362 | − | 1.97663i | 0.183262 | − | 0.105807i | −0.405562 | − | 0.914067i | \(-0.632924\pi\) |
0.588825 | + | 0.808261i | \(0.299591\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10.9126 | + | 12.3242i | 0.582469 | + | 0.657819i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 16.0154 | + | 9.24652i | 0.852416 | + | 0.492143i | 0.861465 | − | 0.507816i | \(-0.169547\pi\) |
−0.00904907 | + | 0.999959i | \(0.502880\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.89747 | + | 8.48266i | 0.259931 | + | 0.450213i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 13.7316 | − | 13.5212i | 0.726752 | − | 0.715617i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.45699 | + | 1.41854i | 0.129675 | + | 0.0748677i | 0.563434 | − | 0.826161i | \(-0.309480\pi\) |
−0.433759 | + | 0.901029i | \(0.642813\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.4324 | − | 30.1938i | −0.917493 | − | 1.58914i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −13.8028 | − | 1.48944i | −0.724460 | − | 0.0781751i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.89682 | + | 11.9456i | −0.360996 | + | 0.625263i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.7720 | + | 23.8539i | −0.718895 | + | 1.24516i | 0.242544 | + | 0.970141i | \(0.422018\pi\) |
−0.961438 | + | 0.275021i | \(0.911315\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.85696 | − | 17.6634i | 0.200785 | − | 0.919519i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.21497 | + | 13.5505i | −0.114995 | + | 0.703506i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.04596 | + | 13.9360i | 0.416604 | + | 0.721580i | 0.995595 | − | 0.0937541i | \(-0.0298868\pi\) |
−0.578991 | + | 0.815334i | \(0.696553\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 47.4910 | + | 34.7058i | 2.45242 | + | 1.79220i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.529305i | 0.0272606i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.15017i | 0.470013i | 0.971994 | + | 0.235006i | \(0.0755111\pi\) | ||||
−0.971994 | + | 0.235006i | \(0.924489\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12.5018 | + | 9.13614i | 0.640486 | + | 0.468059i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.2333 | − | 17.7245i | −0.522895 | − | 0.905680i | −0.999645 | − | 0.0266416i | \(-0.991519\pi\) |
0.476750 | − | 0.879039i | \(-0.341815\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 15.0118 | + | 12.2798i | 0.765071 | + | 0.625835i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −9.00668 | − | 8.20054i | −0.457835 | − | 0.416857i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.57877 | − | 4.46656i | 0.130749 | − | 0.226463i | −0.793217 | − | 0.608939i | \(-0.791595\pi\) |
0.923965 | + | 0.382476i | \(0.124929\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.33580 | − | 16.1701i | 0.472132 | − | 0.817756i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 33.6646 | + | 3.63269i | 1.69816 | + | 0.183245i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −5.06695 | − | 8.77621i | −0.254946 | − | 0.441579i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.86688 | − | 1.07785i | −0.0936962 | − | 0.0540955i | 0.452420 | − | 0.891805i | \(-0.350561\pi\) |
−0.546116 | + | 0.837710i | \(0.683894\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 8.95533 | − | 32.4185i | 0.448327 | − | 1.62296i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.3719 | + | 19.6967i | 0.567884 | + | 0.983604i | 0.996775 | + | 0.0802477i | \(0.0255711\pi\) |
−0.428891 | + | 0.903356i | \(0.641096\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.33576 | − | 3.08061i | −0.265793 | − | 0.153456i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 15.9182 | − | 34.7118i | 0.790984 | − | 1.72484i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.0959 | + | 8.71562i | −0.748276 | + | 0.432017i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 35.7603i | − | 1.76823i | −0.467266 | − | 0.884117i | \(-0.654761\pi\) | ||
0.467266 | − | 0.884117i | \(-0.345239\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −8.99509 | − | 20.3550i | −0.443695 | − | 1.00404i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −13.6678 | − | 11.1804i | −0.672547 | − | 0.550149i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.51029 | − | 1.44932i | −0.123225 | − | 0.0711442i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.10953 | + | 7.03655i | 0.152274 | + | 0.344581i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.40403 | − | 5.89596i | 0.166298 | − | 0.288036i | −0.770818 | − | 0.637056i | \(-0.780152\pi\) |
0.937115 | + | 0.349020i | \(0.113485\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 9.41938 | + | 16.3148i | 0.459072 | + | 0.795137i | 0.998912 | − | 0.0466311i | \(-0.0148485\pi\) |
−0.539840 | + | 0.841768i | \(0.681515\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 8.60798 | + | 27.0012i | 0.418535 | + | 1.31284i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | − | 54.6846i | − | 2.65259i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.7277 | − | 14.3369i | 0.567545 | − | 0.693812i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 9.42486 | + | 1.01702i | 0.455036 | + | 0.0491021i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 25.6776 | − | 14.8249i | 1.23684 | − | 0.714093i | 0.268397 | − | 0.963308i | \(-0.413506\pi\) |
0.968448 | + | 0.249216i | \(0.0801729\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 31.0315i | − | 1.49128i | −0.666351 | − | 0.745638i | \(-0.732145\pi\) | ||
0.666351 | − | 0.745638i | \(-0.267855\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.12314 | − | 0.496326i | 0.0538503 | − | 0.0237970i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 32.5863i | − | 1.55881i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.1077 | 1.00741 | 0.503707 | − | 0.863875i | \(-0.331969\pi\) | ||||
0.503707 | + | 0.863875i | \(0.331969\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 18.3465 | − | 10.2180i | 0.873642 | − | 0.486569i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 29.9176i | − | 1.42143i | −0.703481 | − | 0.710714i | \(-0.748372\pi\) | ||
0.703481 | − | 0.710714i | \(-0.251628\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 41.9982 | 1.99091 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −9.28369 | − | 1.00179i | −0.439104 | − | 0.0473829i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.48470 | −0.0700672 | −0.0350336 | − | 0.999386i | \(-0.511154\pi\) | ||||
−0.0350336 | + | 0.999386i | \(0.511154\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.20578 | − | 9.01667i | −0.245131 | − | 0.424578i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.13508 | − | 1.82734i | 0.194283 | − | 0.0858558i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 27.5272 | + | 22.5175i | 1.29050 | + | 1.05564i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −22.7741 | −1.06533 | −0.532663 | − | 0.846328i | \(-0.678809\pi\) | ||||
−0.532663 | + | 0.846328i | \(0.678809\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −21.4110 | + | 4.36524i | −0.999380 | + | 0.203752i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.3426 | − | 9.43539i | 0.761150 | − | 0.439450i | −0.0685586 | − | 0.997647i | \(-0.521840\pi\) |
0.829708 | + | 0.558197i | \(0.188507\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −30.9200 | − | 17.8517i | −1.43697 | − | 0.829637i | −0.439335 | − | 0.898324i | \(-0.644786\pi\) |
−0.997638 | + | 0.0686868i | \(0.978119\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.53345 | + | 14.2107i | −0.0711118 | + | 0.659003i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7.24286 | + | 12.5450i | −0.335159 | + | 0.580513i | −0.983515 | − | 0.180824i | \(-0.942124\pi\) |
0.648356 | + | 0.761337i | \(0.275457\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −17.9571 | + | 21.9521i | −0.829180 | + | 1.01366i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −13.1203 | − | 9.58813i | −0.604550 | − | 0.441798i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7.01454 | −0.322529 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −47.7187 | − | 82.6512i | −2.18948 | − | 3.79230i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.4815 | − | 11.5119i | 0.479915 | − | 0.527093i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −16.2831 | + | 28.2032i | −0.743995 | + | 1.28864i | 0.206668 | + | 0.978411i | \(0.433738\pi\) |
−0.950663 | + | 0.310226i | \(0.899595\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −27.6815 | + | 15.9819i | −1.26217 | + | 0.728713i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 14.4979 | − | 14.2757i | 0.659676 | − | 0.649569i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 29.0004 | − | 50.2302i | 1.31684 | − | 2.28084i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −34.1298 | + | 19.7049i | −1.54657 | + | 0.892912i | −0.548169 | + | 0.836367i | \(0.684675\pi\) |
−0.998400 | + | 0.0565448i | \(0.981992\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 19.2583 | − | 8.51044i | 0.870890 | − | 0.384856i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 37.4605 | + | 21.6278i | 1.69057 | + | 0.976049i | 0.954058 | + | 0.299621i | \(0.0968603\pi\) |
0.736509 | + | 0.676428i | \(0.236473\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.608494 | − | 0.351314i | −0.0274052 | − | 0.0158224i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −6.67960 | − | 20.9523i | −0.300226 | − | 0.941736i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.86707 | − | 4.72741i | 0.173462 | − | 0.212054i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.0407 | + | 5.79698i | −0.449482 | + | 0.259509i | −0.707611 | − | 0.706602i | \(-0.750227\pi\) |
0.258129 | + | 0.966110i | \(0.416894\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.28233 | − | 5.16468i | −0.101967 | − | 0.230741i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 19.5811 | 0.873077 | 0.436538 | − | 0.899686i | \(-0.356204\pi\) | ||||
0.436538 | + | 0.899686i | \(0.356204\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 42.3678 | 1.88534 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −5.10424 | − | 0.550790i | −0.226687 | − | 0.0244614i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −19.1690 | + | 11.0672i | −0.849652 | + | 0.490547i | −0.860533 | − | 0.509394i | \(-0.829870\pi\) |
0.0108817 | + | 0.999941i | \(0.496536\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.48831 | + | 1.38750i | 0.375501 | + | 0.0613795i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −28.5518 | + | 25.2813i | −1.26059 | + | 1.11620i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 17.5802 | + | 10.1499i | 0.774677 | + | 0.447260i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.1338 | + | 8.16016i | 0.621604 | + | 0.358883i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −13.3203 | − | 9.73434i | −0.584698 | − | 0.427290i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.8964 | − | 10.9099i | 0.827868 | − | 0.477970i | −0.0252540 | − | 0.999681i | \(-0.508039\pi\) |
0.853122 | + | 0.521711i | \(0.174706\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.8478 | + | 36.1095i | −0.911612 | + | 1.57896i | −0.0998248 | + | 0.995005i | \(0.531828\pi\) |
−0.811787 | + | 0.583953i | \(0.801505\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 15.8670 | − | 57.4391i | 0.692493 | − | 2.50685i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 7.08298 | − | 4.08936i | 0.308539 | − | 0.178135i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.64321 | + | 2.84612i | −0.0714437 | + | 0.123744i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.08157 | + | 19.0764i | 0.263918 | + | 0.827847i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −9.54589 | − | 16.5340i | −0.413478 | − | 0.716165i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 38.8477 | 1.67953 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.324824 | − | 3.01019i | 0.0140172 | − | 0.129899i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.85068 | − | 11.4639i | 0.165860 | − | 0.493786i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.58040 | + | 2.73733i | −0.0679466 | + | 0.117687i | −0.897997 | − | 0.440001i | \(-0.854978\pi\) |
0.830051 | + | 0.557688i | \(0.188311\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 3.15820 | + | 2.30797i | 0.135531 | + | 0.0990446i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −10.3349 | − | 5.96687i | −0.442699 | − | 0.255593i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.24591 | + | 4.76078i | −0.352570 | + | 0.203556i | −0.665817 | − | 0.746116i | \(-0.731917\pi\) |
0.313247 | + | 0.949672i | \(0.398583\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −20.0104 | + | 6.37932i | −0.854023 | + | 0.272263i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.22625 | −0.0522400 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.00089 | + | 4.89101i | −0.170135 | + | 0.207987i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 59.8689 | + | 43.7514i | 2.54129 | + | 1.85714i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 12.5874 | + | 21.8021i | 0.533347 | + | 0.923785i | 0.999241 | + | 0.0389442i | \(0.0123995\pi\) |
−0.465894 | + | 0.884841i | \(0.654267\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.8626 | −0.544032 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.42470 | + | 10.1599i | −0.313471 | + | 0.428950i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 22.2170 | 0.936336 | 0.468168 | − | 0.883639i | \(-0.344914\pi\) | ||||
0.468168 | + | 0.883639i | \(0.344914\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 76.0351i | 3.19882i | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −23.7561 | − | 1.62739i | −0.997662 | − | 0.0683441i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 18.2175 | 0.763718 | 0.381859 | − | 0.924221i | \(-0.375284\pi\) | ||||
0.381859 | + | 0.924221i | \(0.375284\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.9637i | 0.960999i | 0.876995 | + | 0.480500i | \(0.159545\pi\) | ||||
−0.876995 | + | 0.480500i | \(0.840455\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −17.2902 | − | 12.6354i | −0.722307 | − | 0.527852i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 57.7363i | − | 2.40777i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 19.4632 | − | 11.2371i | 0.810265 | − | 0.467806i | −0.0367832 | − | 0.999323i | \(-0.511711\pi\) |
0.847048 | + | 0.531517i | \(0.178378\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 23.2704 | − | 31.8429i | 0.967085 | − | 1.32335i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.291573 | + | 1.78376i | −0.0120965 | + | 0.0740027i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 8.96562i | − | 0.371318i | ||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −12.2485 | − | 38.4205i | −0.506411 | − | 1.58849i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 19.4626 | + | 33.7103i | 0.803309 | + | 1.39137i | 0.917427 | + | 0.397905i | \(0.130262\pi\) |
−0.114118 | + | 0.993467i | \(0.536404\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.13689 | − | 12.3615i | 0.294070 | − | 0.509345i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 26.9157 | − | 36.8311i | 1.10716 | − | 1.51503i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 8.82756 | + | 5.09660i | 0.362505 | + | 0.209292i | 0.670179 | − | 0.742200i | \(-0.266217\pi\) |
−0.307674 | + | 0.951492i | \(0.599551\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −44.1569 | + | 16.7001i | −1.81026 | + | 0.684636i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −14.7102 | − | 1.58735i | −0.602048 | − | 0.0649659i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 27.1004i | 1.10729i | 0.832752 | + | 0.553647i | \(0.186764\pi\) | ||||
−0.832752 | + | 0.553647i | \(0.813236\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.99531 | − | 2.30669i | 0.162972 | − | 0.0940920i | −0.416296 | − | 0.909229i | \(-0.636672\pi\) |
0.579268 | + | 0.815137i | \(0.303339\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 30.6392 | − | 9.76777i | 1.24772 | − | 0.397774i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 29.4532 | + | 17.0048i | 1.19744 | + | 0.691344i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.88397 | − | 10.1913i | −0.238823 | − | 0.413654i | 0.721554 | − | 0.692358i | \(-0.243428\pi\) |
−0.960377 | + | 0.278705i | \(0.910095\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.537208 | − | 0.545568i | −0.0217688 | − | 0.0221075i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 25.9173 | + | 14.9634i | 1.04850 | + | 0.605353i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.05852 | + | 7.02956i | 0.163922 | + | 0.283921i | 0.936272 | − | 0.351276i | \(-0.114252\pi\) |
−0.772350 | + | 0.635197i | \(0.780919\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −26.1324 | + | 35.7593i | −1.05376 | + | 1.44195i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −12.5912 | + | 21.8085i | −0.506901 | + | 0.877979i | 0.493067 | + | 0.869991i | \(0.335876\pi\) |
−0.999968 | + | 0.00798740i | \(0.997458\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −15.6663 | + | 27.1347i | −0.629680 | + | 1.09064i | 0.357936 | + | 0.933746i | \(0.383481\pi\) |
−0.987616 | + | 0.156891i | \(0.949853\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −22.6059 | + | 4.60885i | −0.907142 | + | 0.184947i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −9.26379 | − | 24.4946i | −0.371146 | − | 0.981354i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −39.5386 | − | 68.4829i | −1.58154 | − | 2.73931i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −2.35614 | + | 21.8347i | −0.0940954 | + | 0.871995i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 42.4305i | − | 1.69182i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.3631i | 1.00969i | 0.863210 | + | 0.504845i | \(0.168450\pi\) | ||||
−0.863210 | + | 0.504845i | \(0.831550\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −7.64382 | + | 3.37789i | −0.303815 | + | 0.134259i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −18.9663 | − | 32.8505i | −0.752653 | − | 1.30363i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.06103 | − | 21.0215i | 0.279768 | − | 0.832902i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.59817 | + | 2.10350i | −0.261020 | + | 0.0832131i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.87718 | + | 13.6437i | −0.311130 | + | 0.538893i | −0.978607 | − | 0.205737i | \(-0.934041\pi\) |
0.667477 | + | 0.744630i | \(0.267374\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.184285 | − | 0.319192i | 0.00726751 | − | 0.0125877i | −0.862369 | − | 0.506281i | \(-0.831020\pi\) |
0.869636 | + | 0.493693i | \(0.164353\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.0612 | + | 27.2933i | 0.474909 | + | 1.07467i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.90611 | + | 5.03353i | 0.114251 | + | 0.197889i | 0.917480 | − | 0.397782i | \(-0.130220\pi\) |
−0.803229 | + | 0.595670i | \(0.796887\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.98559 | + | 5.76519i | 0.391969 | + | 0.226303i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.62630 | − | 2.24018i | 0.338091 | − | 0.0877995i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.0326 | − | 22.5731i | −0.510006 | − | 0.883356i | −0.999933 | − | 0.0115922i | \(-0.996310\pi\) |
0.489927 | − | 0.871763i | \(-0.337023\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −71.8354 | − | 41.4742i | −2.80684 | − | 1.62053i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.21128 | − | 6.56584i | −0.281339 | − | 0.256158i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 15.4955 | − | 8.94635i | 0.603620 | − | 0.348500i | −0.166844 | − | 0.985983i | \(-0.553358\pi\) |
0.770464 | + | 0.637483i | \(0.220024\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 45.2952i | 1.76178i | 0.473322 | + | 0.880890i | \(0.343055\pi\) | ||||
−0.473322 | + | 0.880890i | \(0.656945\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −13.6148 | + | 18.6303i | −0.528753 | + | 0.723540i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −52.1668 | + | 63.7728i | −2.02294 | + | 2.47300i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.642452 | − | 0.370920i | −0.0248758 | − | 0.0143621i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 45.7297 | + | 4.93461i | 1.76801 | + | 0.190783i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.04744 | + | 10.4745i | −0.233459 | + | 0.404363i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.6621 | − | 25.3955i | −0.565182 | − | 0.978925i | −0.997033 | − | 0.0769793i | \(-0.975472\pi\) |
0.431850 | − | 0.901945i | \(-0.357861\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −50.5879 | + | 44.7933i | −1.94713 | + | 1.72410i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 25.7271i | − | 0.988772i | −0.869242 | − | 0.494386i | \(-0.835393\pi\) | ||
0.869242 | − | 0.494386i | \(-0.164607\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −35.6925 | − | 5.83431i | −1.36975 | − | 0.223900i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.91251 | + | 6.59072i | 0.111608 | + | 0.252557i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.72920 | + | 3.88510i | −0.257486 | + | 0.148659i | −0.623187 | − | 0.782073i | \(-0.714162\pi\) |
0.365701 | + | 0.930732i | \(0.380829\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 54.5163i | 2.08296i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.624073 | + | 5.78337i | −0.0238099 | + | 0.220649i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 16.4404i | − | 0.626328i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.6126 | 0.670013 | 0.335007 | − | 0.942216i | \(-0.391261\pi\) | ||||
0.335007 | + | 0.942216i | \(0.391261\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −10.7466 | + | 8.51731i | −0.408231 | + | 0.323546i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − | 18.8458i | − | 0.714863i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 25.3434 | 0.959952 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 6.87999 | + | 15.5687i | 0.260225 | + | 0.588863i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.19616 | 0.234026 | 0.117013 | − | 0.993130i | \(-0.462668\pi\) | ||||
0.117013 | + | 0.993130i | \(0.462668\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −37.0256 | − | 64.1302i | −1.39645 | − | 2.41872i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 7.44838 | − | 69.0252i | 0.280522 | − | 2.59964i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −9.34532 | − | 24.7101i | −0.351467 | − | 0.929320i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −21.6436 | −0.812844 | −0.406422 | − | 0.913686i | \(-0.633224\pi\) | ||||
−0.406422 | + | 0.913686i | \(0.633224\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.82651 | − | 2.17629i | 0.256014 | − | 0.0816173i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 7.47825 | − | 4.31757i | 0.280063 | − | 0.161694i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −20.1113 | − | 11.6112i | −0.752118 | − | 0.434236i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −10.5156 | + | 4.64695i | −0.392711 | + | 0.173543i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 9.26360 | − | 16.0450i | 0.345474 | − | 0.598379i | −0.639966 | − | 0.768403i | \(-0.721051\pi\) |
0.985440 | + | 0.170025i | \(0.0543848\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.04197 | − | 12.4921i | 0.0760468 | − | 0.465231i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 29.9382 | − | 13.2300i | 1.11341 | − | 0.492029i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.17267 | −0.0806908 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.667514 | + | 1.15617i | 0.0247567 | + | 0.0428799i | 0.878138 | − | 0.478407i | \(-0.158786\pi\) |
−0.853382 | + | 0.521287i | \(0.825452\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 21.5765 | + | 16.2314i | 0.799128 | + | 0.601161i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.53728 | − | 14.7870i | 0.315763 | − | 0.546917i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.9319 | + | 19.0132i | −1.21637 | + | 0.702270i | −0.964139 | − | 0.265398i | \(-0.914497\pi\) |
−0.252228 | + | 0.967668i | \(0.581163\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −51.2267 | + | 4.72888i | −1.88953 | + | 0.174428i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.25961 | − | 16.0381i | 0.341082 | − | 0.590772i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 44.1512 | − | 25.4907i | 1.62413 | − | 0.937691i | 0.638328 | − | 0.769764i | \(-0.279626\pi\) |
0.985800 | − | 0.167926i | \(-0.0537071\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.32049 | + | 40.0386i | −0.158717 | + | 1.47085i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.62890 | + | 3.24985i | 0.206504 | + | 0.119225i | 0.599686 | − | 0.800236i | \(-0.295292\pi\) |
−0.393181 | + | 0.919461i | \(0.628626\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 19.8100 | + | 11.4373i | 0.725784 | + | 0.419031i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.37976 | − | 1.51540i | 0.0504829 | − | 0.0554456i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −8.56887 | − | 22.6571i | −0.313100 | − | 0.827872i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.9679 | − | 12.1058i | 0.765130 | − | 0.441748i | −0.0660045 | − | 0.997819i | \(-0.521025\pi\) |
0.831135 | + | 0.556071i | \(0.187692\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 17.9835 | − | 24.6084i | 0.655356 | − | 0.896781i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −11.0749 | −0.403057 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.855427 | −0.0310910 | −0.0155455 | − | 0.999879i | \(-0.504948\pi\) | ||||
−0.0155455 | + | 0.999879i | \(0.504948\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.83905 | + | 10.7269i | −0.284539 | + | 0.389360i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −18.0333 | + | 10.4115i | −0.653708 | + | 0.377418i | −0.789875 | − | 0.613268i | \(-0.789855\pi\) |
0.136168 | + | 0.990686i | \(0.456521\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.20041 | + | 7.34377i | −0.0434579 | + | 0.265862i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 52.2981 | + | 11.4198i | 1.89084 | + | 0.412882i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 18.3107 | + | 10.5717i | 0.661161 | + | 0.381721i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 38.2601 | + | 22.0895i | 1.37969 | + | 0.796567i | 0.992122 | − | 0.125272i | \(-0.0399804\pi\) |
0.387572 | + | 0.921839i | \(0.373314\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.13784 | + | 29.0788i | −0.113007 | + | 1.04725i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −39.8687 | + | 23.0182i | −1.43398 | + | 0.827906i | −0.997421 | − | 0.0717715i | \(-0.977135\pi\) |
−0.436555 | + | 0.899678i | \(0.643801\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.6451 | − | 21.9020i | 0.454226 | − | 0.786742i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 12.3114 | − | 44.5678i | 0.441671 | − | 1.59886i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 38.3045 | − | 22.1151i | 1.37240 | − | 0.792356i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.99407 | + | 3.45382i | −0.0713533 | + | 0.123588i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.173435 | + | 0.850678i | 0.00619806 | + | 0.0304008i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 19.9046 | + | 34.4757i | 0.710424 | + | 1.23049i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 46.6670 | 1.66350 | 0.831750 | − | 0.555151i | \(-0.187339\pi\) | ||||
0.831750 | + | 0.555151i | \(0.187339\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 21.4104 | − | 9.46150i | 0.762231 | − | 0.336838i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 44.3459 | − | 16.7715i | 1.57676 | − | 0.596327i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.0893 | + | 19.2072i | −0.393791 | + | 0.682066i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −34.8849 | + | 15.4160i | −1.23724 | + | 0.546749i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −41.3925 | − | 23.8980i | −1.46620 | − | 0.846509i | −0.466911 | − | 0.884304i | \(-0.654633\pi\) |
−0.999285 | + | 0.0377956i | \(0.987966\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −34.4040 | + | 19.8632i | −1.21713 | + | 0.702709i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −6.33473 | + | 29.0106i | −0.223827 | + | 1.02504i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −5.61626 | −0.198193 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −46.6211 | + | 17.6320i | −1.64318 | + | 0.621447i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.184604 | + | 1.71075i | −0.00649837 | + | 0.0602213i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −6.40052 | − | 11.0860i | −0.225030 | − | 0.389764i | 0.731298 | − | 0.682058i | \(-0.238915\pi\) |
−0.956329 | + | 0.292294i | \(0.905581\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.23832 | −0.219057 | −0.109528 | − | 0.993984i | \(-0.534934\pi\) | ||||
−0.109528 | + | 0.993984i | \(0.534934\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.64607 | + | 8.25070i | 0.127873 | + | 0.289365i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −51.5791 | −1.80674 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 29.7991i | − | 1.04254i | ||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −19.7062 | + | 15.6183i | −0.688590 | + | 0.545747i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 48.9849 | 1.70959 | 0.854793 | − | 0.518970i | \(-0.173684\pi\) | ||||
0.854793 | + | 0.518970i | \(0.173684\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 48.2516i | 1.68195i | 0.541078 | + | 0.840973i | \(0.318017\pi\) | ||||
−0.541078 | + | 0.840973i | \(0.681983\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.17461 | + | 38.6867i | −0.145341 | + | 1.34690i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 54.8165i | 1.90616i | 0.302724 | + | 0.953078i | \(0.402104\pi\) | ||||
−0.302724 | + | 0.953078i | \(0.597896\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.86621 | − | 5.11891i | 0.307936 | − | 0.177787i | −0.338066 | − | 0.941122i | \(-0.609773\pi\) |
0.646003 | + | 0.763335i | \(0.276439\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.94999 | − | 4.41264i | −0.0676444 | − | 0.153073i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 19.4799 | + | 22.0700i | 0.674939 | + | 0.764679i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13.8324i | 0.478691i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −9.58483 | − | 3.20268i | −0.331300 | − | 0.110701i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −18.5397 | − | 32.1118i | −0.640063 | − | 1.10862i | −0.985418 | − | 0.170149i | \(-0.945575\pi\) |
0.345356 | − | 0.938472i | \(-0.387758\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.4860 | − | 25.0906i | 0.499519 | − | 0.865192i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 33.5728 | + | 3.62278i | 1.15631 | + | 0.124775i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.8917 | + | 6.28833i | 0.374686 | + | 0.216325i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.42103 | − | 20.9288i | 0.117548 | − | 0.719122i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −26.3524 | + | 36.0603i | −0.904412 | + | 1.23759i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 44.7984i | − | 1.53567i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21.4862 | − | 12.4050i | 0.735672 | − | 0.424741i | −0.0848215 | − | 0.996396i | \(-0.527032\pi\) |
0.820494 | + | 0.571656i | \(0.193699\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 89.0093 | − | 28.3762i | 3.04405 | − | 0.970446i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −32.5657 | − | 18.8018i | −1.11242 | − | 0.642259i | −0.172968 | − | 0.984927i | \(-0.555336\pi\) |
−0.939456 | + | 0.342669i | \(0.888669\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.2177 | + | 22.8938i | 0.450983 | + | 0.781125i | 0.998447 | − | 0.0557036i | \(-0.0177402\pi\) |
−0.547464 | + | 0.836829i | \(0.684407\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 26.6200 | + | 7.35353i | 0.907207 | + | 0.250608i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −3.84525 | − | 2.22006i | −0.130894 | − | 0.0755716i | 0.433123 | − | 0.901335i | \(-0.357411\pi\) |
−0.564017 | + | 0.825763i | \(0.690745\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 20.2081 | + | 35.0014i | 0.687095 | + | 1.19008i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.479352 | − | 1.08473i | −0.0162796 | − | 0.0368392i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.06307 | − | 3.57335i | 0.0699849 | − | 0.121217i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.9794 | − | 29.4093i | 0.575326 | − | 0.996495i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 30.3227 | + | 27.6087i | 1.02627 | + | 0.934412i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −56.8893 | + | 69.5461i | −1.92321 | + | 2.35109i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.34507 | + | 4.06179i | 0.0791875 | + | 0.137157i | 0.902900 | − | 0.429851i | \(-0.141434\pi\) |
−0.823712 | + | 0.567008i | \(0.808101\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −11.1007 | + | 4.90554i | −0.374419 | + | 0.165460i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 30.4670i | − | 1.02646i | −0.858251 | − | 0.513230i | \(-0.828449\pi\) | ||
0.858251 | − | 0.513230i | \(-0.171551\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.85163i | 0.129618i | 0.997898 | + | 0.0648089i | \(0.0206438\pi\) | ||||
−0.997898 | + | 0.0648089i | \(0.979356\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 5.26231 | − | 48.7665i | 0.176891 | − | 1.63927i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −24.6543 | − | 42.7024i | −0.827809 | − | 1.43381i | −0.899753 | − | 0.436399i | \(-0.856254\pi\) |
0.0719438 | − | 0.997409i | \(-0.477080\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.9759 | + | 18.3077i | −0.502274 | + | 0.614020i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 15.4805 | − | 1.45369i | 0.518616 | − | 0.0487003i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −34.6659 | + | 60.0431i | −1.16005 | + | 2.00927i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.70850 | + | 6.42331i | −0.123961 | + | 0.214708i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −14.3745 | + | 19.6699i | −0.479952 | + | 0.656760i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.162474 | − | 0.281413i | −0.00541881 | − | 0.00938565i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 18.9000 | + | 10.9119i | 0.629649 | + | 0.363528i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.2578 | − | 13.0547i | 0.441193 | − | 0.434433i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −4.79126 | − | 8.29871i | −0.159267 | − | 0.275858i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.2798 | + | 5.93502i | 0.341334 | + | 0.197069i | 0.660862 | − | 0.750508i | \(-0.270191\pi\) |
−0.319528 | + | 0.947577i | \(0.603524\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −6.39048 | + | 29.2659i | −0.211959 | + | 0.970690i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −43.8316 | + | 25.3062i | −1.45221 | + | 0.838432i | −0.998606 | − | 0.0527737i | \(-0.983194\pi\) |
−0.453600 | + | 0.891205i | \(0.649860\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 1.18022i | − | 0.0390594i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 51.1541 | + | 5.51994i | 1.69110 | + | 0.182484i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −8.34377 | + | 51.0446i | −0.275536 | + | 1.68564i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.7763 | + | 7.37638i | 0.421450 | + | 0.243324i | 0.695698 | − | 0.718335i | \(-0.255095\pi\) |
−0.274247 | + | 0.961659i | \(0.588429\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.11237 | + | 2.89055i | −0.0696051 | + | 0.0952468i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3.65654 | + | 6.33331i | −0.120356 | + | 0.208464i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −65.6018 | − | 113.626i | −2.15697 | − | 3.73599i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −9.66284 | + | 10.6127i | −0.317369 | + | 0.348568i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 32.2141i | − | 1.05691i | −0.848961 | − | 0.528455i | \(-0.822771\pi\) | ||
0.848961 | − | 0.528455i | \(-0.177229\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 48.7009 | + | 16.3584i | 1.59611 | + | 0.536125i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −9.14073 | + | 12.5081i | −0.299254 | + | 0.409496i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 26.6968 | − | 15.4134i | 0.873078 | − | 0.504072i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 9.13415i | − | 0.298400i | −0.988807 | − | 0.149200i | \(-0.952330\pi\) | ||
0.988807 | − | 0.149200i | \(-0.0476698\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 3.40088 | + | 2.48532i | 0.110984 | + | 0.0811053i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 2.03413i | − | 0.0663106i | −0.999450 | − | 0.0331553i | \(-0.989444\pi\) | ||
0.999450 | − | 0.0331553i | \(-0.0105556\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 26.7578 | 0.871353 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 51.6189 | + | 27.1696i | 1.67916 | + | 0.883826i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 22.5209i | 0.731830i | 0.930648 | + | 0.365915i | \(0.119244\pi\) | ||||
−0.930648 | + | 0.365915i | \(0.880756\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −10.2986 | −0.334306 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −9.18913 | + | 12.5743i | −0.297978 | + | 0.407749i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −7.47118 | −0.242015 | −0.121008 | − | 0.992652i | \(-0.538613\pi\) | ||||
−0.121008 | + | 0.992652i | \(0.538613\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 26.2306 | + | 45.4328i | 0.848803 | + | 1.47017i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.403661 | + | 0.294990i | 0.0130485 | + | 0.00953567i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 31.7955 | − | 12.0250i | 1.02673 | − | 0.388307i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.2175 | −0.877985 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5.85953 | + | 26.8344i | −0.188821 | + | 0.864726i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −83.6726 | + | 48.3084i | −2.69352 | + | 1.55510i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.1482 | − | 11.6326i | −0.647922 | − | 0.374078i | 0.139738 | − | 0.990189i | \(-0.455374\pi\) |
−0.787659 | + | 0.616111i | \(0.788707\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −43.1610 | − | 31.5415i | −1.38653 | − | 1.01326i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −0.490476 | + | 0.849530i | −0.0157401 | + | 0.0272627i | −0.873788 | − | 0.486307i | \(-0.838344\pi\) |
0.858048 | + | 0.513569i | \(0.171677\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.9914 | + | 4.15694i | −0.352369 | + | 0.133265i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −7.65502 | + | 70.9402i | −0.245157 | + | 2.27190i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −5.62908 | −0.180090 | −0.0900452 | − | 0.995938i | \(-0.528701\pi\) | ||||
−0.0900452 | + | 0.995938i | \(0.528701\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.55005 | + | 14.8091i | 0.273261 | + | 0.473302i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.68052 | − | 6.23893i | 0.181365 | − | 0.199194i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 20.1171 | − | 34.8438i | 0.641636 | − | 1.11135i | −0.343432 | − | 0.939178i | \(-0.611589\pi\) |
0.985068 | − | 0.172168i | \(-0.0550772\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −96.7799 | + | 55.8759i | −3.08367 | + | 1.78036i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −41.9004 | + | 10.8812i | −1.33370 | + | 0.346352i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 9.01371 | − | 15.6122i | 0.286619 | − | 0.496439i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.50739 | − | 4.33440i | 0.238480 | − | 0.137687i | −0.375998 | − | 0.926621i | \(-0.622700\pi\) |
0.614478 | + | 0.788934i | \(0.289367\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.22220 | − | 4.54710i | −0.197456 | − | 0.144298i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 31.3894 | + | 18.1227i | 0.995111 | + | 0.574528i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22.1016 | − | 12.7604i | −0.699965 | − | 0.404125i | 0.107369 | − | 0.994219i | \(-0.465757\pi\) |
−0.807334 | + | 0.590094i | \(0.799091\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −39.2519 | + | 34.7558i | −1.24187 | + | 1.09962i |
(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 | 1008.2.cz.g.607.8 | yes | 24 | |
3.2 | odd | 2 | 3024.2.cz.h.1279.12 | 24 | |||
4.3 | odd | 2 | 1008.2.cz.h.607.5 | yes | 24 | ||
7.3 | odd | 6 | 1008.2.bf.g.31.12 | ✓ | 24 | ||
9.2 | odd | 6 | 3024.2.bf.g.2287.12 | 24 | |||
9.7 | even | 3 | 1008.2.bf.h.943.1 | yes | 24 | ||
12.11 | even | 2 | 3024.2.cz.g.1279.12 | 24 | |||
21.17 | even | 6 | 3024.2.bf.h.1711.1 | 24 | |||
28.3 | even | 6 | 1008.2.bf.h.31.1 | yes | 24 | ||
36.7 | odd | 6 | 1008.2.bf.g.943.12 | yes | 24 | ||
36.11 | even | 6 | 3024.2.bf.h.2287.12 | 24 | |||
63.38 | even | 6 | 3024.2.cz.g.2719.12 | 24 | |||
63.52 | odd | 6 | 1008.2.cz.h.367.5 | yes | 24 | ||
84.59 | odd | 6 | 3024.2.bf.g.1711.1 | 24 | |||
252.115 | even | 6 | inner | 1008.2.cz.g.367.8 | yes | 24 | |
252.227 | odd | 6 | 3024.2.cz.h.2719.12 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1008.2.bf.g.31.12 | ✓ | 24 | 7.3 | odd | 6 | ||
1008.2.bf.g.943.12 | yes | 24 | 36.7 | odd | 6 | ||
1008.2.bf.h.31.1 | yes | 24 | 28.3 | even | 6 | ||
1008.2.bf.h.943.1 | yes | 24 | 9.7 | even | 3 | ||
1008.2.cz.g.367.8 | yes | 24 | 252.115 | even | 6 | inner | |
1008.2.cz.g.607.8 | yes | 24 | 1.1 | even | 1 | trivial | |
1008.2.cz.h.367.5 | yes | 24 | 63.52 | odd | 6 | ||
1008.2.cz.h.607.5 | yes | 24 | 4.3 | odd | 2 | ||
3024.2.bf.g.1711.1 | 24 | 84.59 | odd | 6 | |||
3024.2.bf.g.2287.12 | 24 | 9.2 | odd | 6 | |||
3024.2.bf.h.1711.1 | 24 | 21.17 | even | 6 | |||
3024.2.bf.h.2287.12 | 24 | 36.11 | even | 6 | |||
3024.2.cz.g.1279.12 | 24 | 12.11 | even | 2 | |||
3024.2.cz.g.2719.12 | 24 | 63.38 | even | 6 | |||
3024.2.cz.h.1279.12 | 24 | 3.2 | odd | 2 | |||
3024.2.cz.h.2719.12 | 24 | 252.227 | odd | 6 |