Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 263.22 | ||
Character | \(\chi\) | \(=\) | 570.263 |
Dual form | 570.2.bi.a.557.22 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0871557 | + | 0.996195i | 0.0616284 | + | 0.704416i | ||||
\(3\) | −1.71062 | − | 0.271617i | −0.987628 | − | 0.156818i | ||||
\(4\) | −0.984808 | + | 0.173648i | −0.492404 | + | 0.0868241i | ||||
\(5\) | −1.70877 | − | 1.44225i | −0.764187 | − | 0.644995i | ||||
\(6\) | 0.121493 | − | 1.72778i | 0.0495992 | − | 0.705365i | ||||
\(7\) | −3.51350 | − | 0.941441i | −1.32798 | − | 0.355831i | −0.476018 | − | 0.879435i | \(-0.657920\pi\) |
−0.851962 | + | 0.523604i | \(0.824587\pi\) | |||||||
\(8\) | −0.258819 | − | 0.965926i | −0.0915064 | − | 0.341506i | ||||
\(9\) | 2.85245 | + | 0.929267i | 0.950816 | + | 0.309756i | ||||
\(10\) | 1.28784 | − | 1.82797i | 0.407249 | − | 0.578055i | ||||
\(11\) | 1.29408 | + | 0.747136i | 0.390179 | + | 0.225270i | 0.682238 | − | 0.731130i | \(-0.261007\pi\) |
−0.292059 | + | 0.956400i | \(0.594340\pi\) | |||||||
\(12\) | 1.73180 | − | 0.0295558i | 0.499927 | − | 0.00853204i | ||||
\(13\) | 1.36985 | + | 2.93764i | 0.379927 | + | 0.814756i | 0.999554 | + | 0.0298594i | \(0.00950597\pi\) |
−0.619627 | + | 0.784896i | \(0.712716\pi\) | |||||||
\(14\) | 0.631636 | − | 3.58219i | 0.168812 | − | 0.957380i | ||||
\(15\) | 2.53132 | + | 2.93128i | 0.653585 | + | 0.756853i | ||||
\(16\) | 0.939693 | − | 0.342020i | 0.234923 | − | 0.0855050i | ||||
\(17\) | −0.302375 | − | 3.45616i | −0.0733368 | − | 0.838243i | −0.940406 | − | 0.340055i | \(-0.889554\pi\) |
0.867069 | − | 0.498188i | \(-0.166001\pi\) | |||||||
\(18\) | −0.677124 | + | 2.92259i | −0.159600 | + | 0.688860i | ||||
\(19\) | 2.58276 | + | 3.51132i | 0.592526 | + | 0.805551i | ||||
\(20\) | 1.93326 | + | 1.12362i | 0.432290 | + | 0.251248i | ||||
\(21\) | 5.75456 | + | 2.56478i | 1.25575 | + | 0.559680i | ||||
\(22\) | −0.631507 | + | 1.35427i | −0.134638 | + | 0.288731i | ||||
\(23\) | 3.19035 | + | 2.23391i | 0.665234 | + | 0.465802i | 0.856780 | − | 0.515682i | \(-0.172461\pi\) |
−0.191546 | + | 0.981484i | \(0.561350\pi\) | |||||||
\(24\) | 0.180380 | + | 1.72263i | 0.0368198 | + | 0.351631i | ||||
\(25\) | 0.839814 | + | 4.92897i | 0.167963 | + | 0.985793i | ||||
\(26\) | −2.80707 | + | 1.62067i | −0.550513 | + | 0.317839i | ||||
\(27\) | −4.62705 | − | 2.36440i | −0.890477 | − | 0.455028i | ||||
\(28\) | 3.62361 | + | 0.317024i | 0.684797 | + | 0.0599120i | ||||
\(29\) | 3.57713 | − | 3.00157i | 0.664256 | − | 0.557377i | −0.247103 | − | 0.968989i | \(-0.579479\pi\) |
0.911359 | + | 0.411612i | \(0.135034\pi\) | |||||||
\(30\) | −2.69951 | + | 2.77717i | −0.492860 | + | 0.507039i | ||||
\(31\) | 4.43573 | + | 7.68290i | 0.796680 | + | 1.37989i | 0.921767 | + | 0.387744i | \(0.126746\pi\) |
−0.125087 | + | 0.992146i | \(0.539921\pi\) | |||||||
\(32\) | 0.422618 | + | 0.906308i | 0.0747091 | + | 0.160214i | ||||
\(33\) | −2.01074 | − | 1.62956i | −0.350025 | − | 0.283670i | ||||
\(34\) | 3.41666 | − | 0.602449i | 0.585952 | − | 0.103319i | ||||
\(35\) | 4.64599 | + | 6.67607i | 0.785315 | + | 1.12846i | ||||
\(36\) | −2.97048 | − | 0.419827i | −0.495080 | − | 0.0699711i | ||||
\(37\) | 5.15462 | − | 5.15462i | 0.847415 | − | 0.847415i | −0.142395 | − | 0.989810i | \(-0.545480\pi\) |
0.989810 | + | 0.142395i | \(0.0454804\pi\) | |||||||
\(38\) | −3.27285 | + | 2.87896i | −0.530927 | + | 0.467030i | ||||
\(39\) | −1.54537 | − | 5.39727i | −0.247458 | − | 0.864254i | ||||
\(40\) | −0.950846 | + | 2.02383i | −0.150342 | + | 0.319996i | ||||
\(41\) | −1.28662 | − | 3.53495i | −0.200936 | − | 0.552067i | 0.797768 | − | 0.602965i | \(-0.206014\pi\) |
−0.998704 | + | 0.0508976i | \(0.983792\pi\) | |||||||
\(42\) | −2.05347 | + | 5.95620i | −0.316858 | + | 0.919062i | ||||
\(43\) | −2.95931 | + | 2.07213i | −0.451290 | + | 0.315997i | −0.777031 | − | 0.629462i | \(-0.783275\pi\) |
0.325741 | + | 0.945459i | \(0.394386\pi\) | |||||||
\(44\) | −1.40416 | − | 0.511071i | −0.211685 | − | 0.0770469i | ||||
\(45\) | −3.53395 | − | 5.70186i | −0.526810 | − | 0.849983i | ||||
\(46\) | −1.94735 | + | 3.37291i | −0.287121 | + | 0.497308i | ||||
\(47\) | −5.46752 | − | 0.478346i | −0.797520 | − | 0.0697740i | −0.318891 | − | 0.947791i | \(-0.603311\pi\) |
−0.478629 | + | 0.878017i | \(0.658866\pi\) | |||||||
\(48\) | −1.70036 | + | 0.329830i | −0.245425 | + | 0.0476069i | ||||
\(49\) | 5.39623 | + | 3.11551i | 0.770889 | + | 0.445073i | ||||
\(50\) | −4.83702 | + | 1.26621i | −0.684057 | + | 0.179069i | ||||
\(51\) | −0.421503 | + | 5.99432i | −0.0590222 | + | 0.839372i | ||||
\(52\) | −1.85915 | − | 2.65514i | −0.257818 | − | 0.368202i | ||||
\(53\) | 8.38937 | + | 5.87430i | 1.15237 | + | 0.806897i | 0.983884 | − | 0.178807i | \(-0.0572239\pi\) |
0.168484 | + | 0.985704i | \(0.446113\pi\) | |||||||
\(54\) | 1.95213 | − | 4.81552i | 0.265651 | − | 0.655309i | ||||
\(55\) | −1.13373 | − | 3.14307i | −0.152872 | − | 0.423812i | ||||
\(56\) | 3.63745i | 0.486074i | ||||||||
\(57\) | −3.46439 | − | 6.70805i | −0.458870 | − | 0.888503i | ||||
\(58\) | 3.30191 | + | 3.30191i | 0.433563 | + | 0.433563i | ||||
\(59\) | −7.15446 | − | 6.00331i | −0.931432 | − | 0.781564i | 0.0446422 | − | 0.999003i | \(-0.485785\pi\) |
−0.976074 | + | 0.217439i | \(0.930230\pi\) | |||||||
\(60\) | −3.00188 | − | 2.44719i | −0.387541 | − | 0.315930i | ||||
\(61\) | −0.00426072 | − | 0.0241638i | −0.000545530 | − | 0.00309385i | 0.984534 | − | 0.175195i | \(-0.0560556\pi\) |
−0.985079 | + | 0.172101i | \(0.944944\pi\) | |||||||
\(62\) | −7.26707 | + | 5.08846i | −0.922919 | + | 0.646235i | ||||
\(63\) | −9.14724 | − | 5.95039i | −1.15244 | − | 0.749679i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | 1.89607 | − | 6.99543i | 0.235178 | − | 0.867676i | ||||
\(66\) | 1.44811 | − | 2.14512i | 0.178250 | − | 0.264045i | ||||
\(67\) | −0.0962128 | + | 1.09972i | −0.0117543 | + | 0.134352i | −0.999804 | − | 0.0197815i | \(-0.993703\pi\) |
0.988050 | + | 0.154133i | \(0.0492585\pi\) | |||||||
\(68\) | 0.897938 | + | 3.35115i | 0.108891 | + | 0.406387i | ||||
\(69\) | −4.85071 | − | 4.68792i | −0.583957 | − | 0.564359i | ||||
\(70\) | −6.24574 | + | 5.21017i | −0.746509 | + | 0.622734i | ||||
\(71\) | 5.99409 | + | 1.05692i | 0.711367 | + | 0.125433i | 0.517611 | − | 0.855616i | \(-0.326822\pi\) |
0.193757 | + | 0.981050i | \(0.437933\pi\) | |||||||
\(72\) | 0.159335 | − | 2.99577i | 0.0187778 | − | 0.353054i | ||||
\(73\) | 6.61286 | + | 3.08363i | 0.773977 | + | 0.360911i | 0.769143 | − | 0.639077i | \(-0.220683\pi\) |
0.00483407 | + | 0.999988i | \(0.498461\pi\) | |||||||
\(74\) | 5.58426 | + | 4.68575i | 0.649157 | + | 0.544708i | ||||
\(75\) | −0.0978130 | − | 8.65970i | −0.0112945 | − | 0.999936i | ||||
\(76\) | −3.15326 | − | 3.00948i | −0.361703 | − | 0.345211i | ||||
\(77\) | −3.84336 | − | 3.84336i | −0.437992 | − | 0.437992i | ||||
\(78\) | 5.24204 | − | 2.00990i | 0.593544 | − | 0.227576i | ||||
\(79\) | 5.00093 | + | 13.7399i | 0.562649 | + | 1.54586i | 0.815738 | + | 0.578421i | \(0.196331\pi\) |
−0.253090 | + | 0.967443i | \(0.581447\pi\) | |||||||
\(80\) | −2.09900 | − | 0.770839i | −0.234675 | − | 0.0861825i | ||||
\(81\) | 7.27293 | + | 5.30137i | 0.808103 | + | 0.589041i | ||||
\(82\) | 3.40937 | − | 1.58981i | 0.376502 | − | 0.175566i | ||||
\(83\) | 12.3490 | + | 3.30890i | 1.35548 | + | 0.363199i | 0.862153 | − | 0.506647i | \(-0.169115\pi\) |
0.493323 | + | 0.869846i | \(0.335782\pi\) | |||||||
\(84\) | −6.11251 | − | 1.52654i | −0.666929 | − | 0.166559i | ||||
\(85\) | −4.46797 | + | 6.34190i | −0.484620 | + | 0.687876i | ||||
\(86\) | −2.32217 | − | 2.76745i | −0.250406 | − | 0.298422i | ||||
\(87\) | −6.93439 | + | 4.16294i | −0.743445 | + | 0.446314i | ||||
\(88\) | 0.386746 | − | 1.44336i | 0.0412273 | − | 0.153862i | ||||
\(89\) | 9.69825 | + | 3.52987i | 1.02801 | + | 0.374166i | 0.800324 | − | 0.599568i | \(-0.204661\pi\) |
0.227689 | + | 0.973734i | \(0.426883\pi\) | |||||||
\(90\) | 5.37216 | − | 4.01745i | 0.566275 | − | 0.423477i | ||||
\(91\) | −2.04734 | − | 11.6111i | −0.214620 | − | 1.21717i | ||||
\(92\) | −3.52979 | − | 1.64597i | −0.368007 | − | 0.171604i | ||||
\(93\) | −5.50104 | − | 14.3474i | −0.570431 | − | 1.48775i | ||||
\(94\) | − | 5.48841i | − | 0.566086i | ||||||
\(95\) | 0.650852 | − | 9.72504i | 0.0667760 | − | 0.997768i | ||||
\(96\) | −0.476771 | − | 1.66514i | −0.0486603 | − | 0.169948i | ||||
\(97\) | −1.56748 | + | 0.137137i | −0.159154 | + | 0.0139242i | −0.166454 | − | 0.986049i | \(-0.553232\pi\) |
0.00730024 | + | 0.999973i | \(0.497676\pi\) | |||||||
\(98\) | −2.63334 | + | 5.64723i | −0.266008 | + | 0.570456i | ||||
\(99\) | 2.99700 | + | 3.33371i | 0.301210 | + | 0.335051i | ||||
\(100\) | −1.68296 | − | 4.70825i | −0.168296 | − | 0.470825i | ||||
\(101\) | −2.13927 | + | 5.87758i | −0.212865 | + | 0.584841i | −0.999468 | − | 0.0326176i | \(-0.989616\pi\) |
0.786603 | + | 0.617459i | \(0.211838\pi\) | |||||||
\(102\) | −6.00824 | + | 0.102540i | −0.594905 | + | 0.0101530i | ||||
\(103\) | −16.9707 | + | 4.54728i | −1.67217 | + | 0.448057i | −0.965694 | − | 0.259681i | \(-0.916383\pi\) |
−0.706475 | + | 0.707738i | \(0.749716\pi\) | |||||||
\(104\) | 2.48300 | − | 2.08349i | 0.243478 | − | 0.204303i | ||||
\(105\) | −6.13419 | − | 12.6822i | −0.598636 | − | 1.23765i | ||||
\(106\) | −5.12076 | + | 8.86942i | −0.497373 | + | 0.861474i | ||||
\(107\) | 4.75092 | − | 17.7307i | 0.459289 | − | 1.71409i | −0.215874 | − | 0.976421i | \(-0.569260\pi\) |
0.675163 | − | 0.737669i | \(-0.264073\pi\) | |||||||
\(108\) | 4.96733 | + | 1.52500i | 0.477982 | + | 0.146743i | ||||
\(109\) | −1.32656 | − | 0.233909i | −0.127062 | − | 0.0224044i | 0.109756 | − | 0.993959i | \(-0.464993\pi\) |
−0.236817 | + | 0.971554i | \(0.576104\pi\) | |||||||
\(110\) | 3.03230 | − | 1.40335i | 0.289119 | − | 0.133804i | ||||
\(111\) | −10.2177 | + | 7.41752i | −0.969820 | + | 0.704040i | ||||
\(112\) | −3.62361 | + | 0.317024i | −0.342399 | + | 0.0299560i | ||||
\(113\) | 8.48059 | − | 8.48059i | 0.797787 | − | 0.797787i | −0.184959 | − | 0.982746i | \(-0.559215\pi\) |
0.982746 | + | 0.184959i | \(0.0592153\pi\) | |||||||
\(114\) | 6.38059 | − | 4.03586i | 0.597597 | − | 0.377992i | ||||
\(115\) | −2.22973 | − | 8.41853i | −0.207923 | − | 0.785032i | ||||
\(116\) | −3.00157 | + | 3.57713i | −0.278689 | + | 0.332128i | ||||
\(117\) | 1.17756 | + | 9.65243i | 0.108865 | + | 0.892367i | ||||
\(118\) | 5.35691 | − | 7.65046i | 0.493144 | − | 0.704282i | ||||
\(119\) | −2.19138 | + | 12.4279i | −0.200883 | + | 1.13927i | ||||
\(120\) | 2.17624 | − | 3.20374i | 0.198663 | − | 0.292460i | ||||
\(121\) | −4.38358 | − | 7.59258i | −0.398507 | − | 0.690234i | ||||
\(122\) | 0.0237005 | − | 0.00635052i | 0.00214574 | − | 0.000574949i | ||||
\(123\) | 1.24076 | + | 6.39643i | 0.111876 | + | 0.576747i | ||||
\(124\) | −5.70246 | − | 6.79593i | −0.512096 | − | 0.610292i | ||||
\(125\) | 5.67376 | − | 9.63371i | 0.507477 | − | 0.861665i | ||||
\(126\) | 5.13052 | − | 9.63104i | 0.457063 | − | 0.858002i | ||||
\(127\) | −5.36453 | + | 2.50152i | −0.476025 | + | 0.221974i | −0.645797 | − | 0.763509i | \(-0.723475\pi\) |
0.169772 | + | 0.985483i | \(0.445697\pi\) | |||||||
\(128\) | −0.573576 | − | 0.819152i | −0.0506975 | − | 0.0724035i | ||||
\(129\) | 5.62508 | − | 2.74083i | 0.495261 | − | 0.241317i | ||||
\(130\) | 7.13406 | + | 1.27916i | 0.625699 | + | 0.112190i | ||||
\(131\) | 5.34423 | − | 6.36900i | 0.466927 | − | 0.556462i | −0.480267 | − | 0.877122i | \(-0.659460\pi\) |
0.947194 | + | 0.320660i | \(0.103905\pi\) | |||||||
\(132\) | 2.26316 | + | 1.25564i | 0.196983 | + | 0.109290i | ||||
\(133\) | −5.76885 | − | 14.7685i | −0.500222 | − | 1.28060i | ||||
\(134\) | −1.10392 | −0.0953639 | ||||||||
\(135\) | 4.49653 | + | 10.7136i | 0.387000 | + | 0.922080i | ||||
\(136\) | −3.26014 | + | 1.18659i | −0.279555 | + | 0.101750i | ||||
\(137\) | −10.1342 | + | 14.4731i | −0.865824 | + | 1.23652i | 0.104454 | + | 0.994530i | \(0.466691\pi\) |
−0.970278 | + | 0.241995i | \(0.922198\pi\) | |||||||
\(138\) | 4.24731 | − | 5.24083i | 0.361555 | − | 0.446129i | ||||
\(139\) | −0.674859 | + | 1.85416i | −0.0572408 | + | 0.157268i | −0.965017 | − | 0.262187i | \(-0.915556\pi\) |
0.907776 | + | 0.419454i | \(0.137779\pi\) | |||||||
\(140\) | −5.73469 | − | 5.76788i | −0.484670 | − | 0.487475i | ||||
\(141\) | 9.22294 | + | 2.30334i | 0.776711 | + | 0.193976i | ||||
\(142\) | −0.530478 | + | 6.06339i | −0.0445168 | + | 0.508829i | ||||
\(143\) | −0.422133 | + | 4.82500i | −0.0353005 | + | 0.403487i | ||||
\(144\) | 2.99825 | − | 0.102370i | 0.249854 | − | 0.00853080i | ||||
\(145\) | −10.4415 | − | 0.0301249i | −0.867122 | − | 0.00250173i | ||||
\(146\) | −2.49554 | + | 6.85645i | −0.206533 | + | 0.567444i | ||||
\(147\) | −8.38467 | − | 6.79517i | −0.691556 | − | 0.560456i | ||||
\(148\) | −4.18122 | + | 5.97140i | −0.343694 | + | 0.490846i | ||||
\(149\) | 2.59564 | − | 0.944737i | 0.212643 | − | 0.0773959i | −0.233502 | − | 0.972356i | \(-0.575019\pi\) |
0.446146 | + | 0.894960i | \(0.352796\pi\) | |||||||
\(150\) | 8.61822 | − | 0.852184i | 0.703675 | − | 0.0695805i | ||||
\(151\) | 12.4673 | 1.01457 | 0.507287 | − | 0.861777i | \(-0.330649\pi\) | ||||
0.507287 | + | 0.861777i | \(0.330649\pi\) | |||||||
\(152\) | 2.72320 | − | 3.40355i | 0.220881 | − | 0.276064i | ||||
\(153\) | 2.34919 | − | 10.1395i | 0.189921 | − | 0.819732i | ||||
\(154\) | 3.49377 | − | 4.16371i | 0.281536 | − | 0.335521i | ||||
\(155\) | 3.50104 | − | 19.5258i | 0.281210 | − | 1.56835i | ||||
\(156\) | 2.45912 | + | 5.04692i | 0.196887 | + | 0.404077i | ||||
\(157\) | 12.8685 | + | 18.3782i | 1.02702 | + | 1.46674i | 0.878449 | + | 0.477837i | \(0.158579\pi\) |
0.148573 | + | 0.988901i | \(0.452532\pi\) | |||||||
\(158\) | −13.2518 | + | 6.17941i | −1.05426 | + | 0.491608i | ||||
\(159\) | −12.7555 | − | 12.3274i | −1.01157 | − | 0.977626i | ||||
\(160\) | 0.584966 | − | 2.15820i | 0.0462456 | − | 0.170620i | ||||
\(161\) | −9.10622 | − | 10.8524i | −0.717670 | − | 0.855286i | ||||
\(162\) | −4.64732 | + | 7.70730i | −0.365128 | + | 0.605542i | ||||
\(163\) | 5.66624 | − | 1.51826i | 0.443814 | − | 0.118920i | −0.0299895 | − | 0.999550i | \(-0.509547\pi\) |
0.473803 | + | 0.880631i | \(0.342881\pi\) | |||||||
\(164\) | 1.88091 | + | 3.25783i | 0.146874 | + | 0.254394i | ||||
\(165\) | 1.08566 | + | 5.68455i | 0.0845189 | + | 0.442541i | ||||
\(166\) | −2.22002 | + | 12.5904i | −0.172307 | + | 0.977203i | ||||
\(167\) | −9.79103 | + | 13.9830i | −0.757653 | + | 1.08204i | 0.236240 | + | 0.971695i | \(0.424085\pi\) |
−0.993893 | + | 0.110346i | \(0.964804\pi\) | |||||||
\(168\) | 0.987992 | − | 6.22229i | 0.0762252 | − | 0.480060i | ||||
\(169\) | 1.60297 | − | 1.91034i | 0.123305 | − | 0.146950i | ||||
\(170\) | −6.70718 | − | 3.89824i | −0.514417 | − | 0.298981i | ||||
\(171\) | 4.10424 | + | 12.4159i | 0.313859 | + | 0.949470i | ||||
\(172\) | 2.55453 | − | 2.55453i | 0.194781 | − | 0.194781i | ||||
\(173\) | −11.0016 | + | 0.962515i | −0.836436 | + | 0.0731787i | −0.497321 | − | 0.867566i | \(-0.665683\pi\) |
−0.339115 | + | 0.940745i | \(0.610127\pi\) | |||||||
\(174\) | −4.75147 | − | 6.54518i | −0.360208 | − | 0.496189i | ||||
\(175\) | 1.68964 | − | 18.1086i | 0.127725 | − | 1.36888i | ||||
\(176\) | 1.47157 | + | 0.259478i | 0.110924 | + | 0.0195589i | ||||
\(177\) | 10.6080 | + | 12.2127i | 0.797344 | + | 0.917959i | ||||
\(178\) | −2.67118 | + | 9.96900i | −0.200214 | + | 0.747208i | ||||
\(179\) | 1.95063 | − | 3.37858i | 0.145797 | − | 0.252527i | −0.783873 | − | 0.620921i | \(-0.786759\pi\) |
0.929670 | + | 0.368394i | \(0.120092\pi\) | |||||||
\(180\) | 4.47038 | + | 5.00157i | 0.333202 | + | 0.372795i | ||||
\(181\) | 7.17674 | − | 6.02200i | 0.533443 | − | 0.447612i | −0.335845 | − | 0.941917i | \(-0.609022\pi\) |
0.869288 | + | 0.494305i | \(0.164577\pi\) | |||||||
\(182\) | 11.3884 | − | 3.05152i | 0.844167 | − | 0.226194i | ||||
\(183\) | 0.000725198 | 0.0424923i | 5.36082e−5 | 0.00314112i | ||||||
\(184\) | 1.33206 | − | 3.65982i | 0.0982011 | − | 0.269805i | ||||
\(185\) | −16.2423 | + | 1.37381i | −1.19416 | + | 0.101005i | ||||
\(186\) | 13.8133 | − | 6.73056i | 1.01284 | − | 0.493509i | ||||
\(187\) | 2.19093 | − | 4.69846i | 0.160217 | − | 0.343585i | ||||
\(188\) | 5.46752 | − | 0.478346i | 0.398760 | − | 0.0348870i | ||||
\(189\) | 14.0312 | + | 12.6634i | 1.02062 | + | 0.921128i | ||||
\(190\) | 9.74476 | − | 0.199218i | 0.706959 | − | 0.0144528i | ||||
\(191\) | 15.4503i | 1.11794i | 0.829186 | + | 0.558972i | \(0.188804\pi\) | ||||
−0.829186 | + | 0.558972i | \(0.811196\pi\) | |||||||
\(192\) | 1.61725 | − | 0.620083i | 0.116715 | − | 0.0447507i | ||||
\(193\) | 15.5477 | + | 7.25000i | 1.11915 | + | 0.521866i | 0.892019 | − | 0.451999i | \(-0.149289\pi\) |
0.227127 | + | 0.973865i | \(0.427067\pi\) | |||||||
\(194\) | −0.273231 | − | 1.54957i | −0.0196168 | − | 0.111252i | ||||
\(195\) | −5.14353 | + | 11.4515i | −0.368336 | + | 0.820061i | ||||
\(196\) | −5.85525 | − | 2.13114i | −0.418232 | − | 0.152224i | ||||
\(197\) | −2.85675 | + | 10.6615i | −0.203535 | + | 0.759602i | 0.786356 | + | 0.617773i | \(0.211965\pi\) |
−0.989891 | + | 0.141829i | \(0.954702\pi\) | |||||||
\(198\) | −3.05982 | + | 3.27615i | −0.217452 | + | 0.232826i | ||||
\(199\) | −0.455930 | − | 0.543356i | −0.0323200 | − | 0.0385175i | 0.749642 | − | 0.661843i | \(-0.230226\pi\) |
−0.781962 | + | 0.623326i | \(0.785781\pi\) | |||||||
\(200\) | 4.54366 | − | 2.08691i | 0.321285 | − | 0.147567i | ||||
\(201\) | 0.463285 | − | 1.85507i | 0.0326776 | − | 0.130846i | ||||
\(202\) | −6.04167 | − | 1.61886i | −0.425090 | − | 0.113903i | ||||
\(203\) | −15.3941 | + | 7.17837i | −1.08045 | + | 0.503823i | ||||
\(204\) | −0.625803 | − | 5.97644i | −0.0438150 | − | 0.418435i | ||||
\(205\) | −2.89976 | + | 7.89606i | −0.202528 | + | 0.551485i | ||||
\(206\) | −6.00906 | − | 16.5098i | −0.418671 | − | 1.15029i | ||||
\(207\) | 7.02441 | + | 9.33679i | 0.488230 | + | 0.648952i | ||||
\(208\) | 2.29197 | + | 2.29197i | 0.158919 | + | 0.158919i | ||||
\(209\) | 0.718862 | + | 6.47359i | 0.0497247 | + | 0.447788i | ||||
\(210\) | 12.0993 | − | 7.21617i | 0.834929 | − | 0.497963i | ||||
\(211\) | 2.45548 | + | 2.06040i | 0.169042 | + | 0.141843i | 0.723384 | − | 0.690446i | \(-0.242586\pi\) |
−0.554342 | + | 0.832289i | \(0.687030\pi\) | |||||||
\(212\) | −9.28198 | − | 4.32826i | −0.637489 | − | 0.297266i | ||||
\(213\) | −9.96654 | − | 3.43608i | −0.682896 | − | 0.235437i | ||||
\(214\) | 18.0773 | + | 3.18751i | 1.23574 | + | 0.217894i | ||||
\(215\) | 8.04532 | + | 0.727270i | 0.548686 | + | 0.0495994i | ||||
\(216\) | −1.08626 | + | 5.08134i | −0.0739108 | + | 0.345742i | ||||
\(217\) | −8.35195 | − | 31.1699i | −0.566967 | − | 2.11595i | ||||
\(218\) | 0.117401 | − | 1.34190i | 0.00795142 | − | 0.0908851i | ||||
\(219\) | −10.4745 | − | 7.07108i | −0.707803 | − | 0.477820i | ||||
\(220\) | 1.66229 | + | 2.89845i | 0.112072 | + | 0.195414i | ||||
\(221\) | 9.73877 | − | 5.62268i | 0.655101 | − | 0.378223i | ||||
\(222\) | −8.27983 | − | 9.53233i | −0.555706 | − | 0.639768i | ||||
\(223\) | −11.9161 | + | 8.34373i | −0.797959 | + | 0.558737i | −0.899922 | − | 0.436051i | \(-0.856377\pi\) |
0.101963 | + | 0.994788i | \(0.467488\pi\) | |||||||
\(224\) | −0.631636 | − | 3.58219i | −0.0422030 | − | 0.239345i | ||||
\(225\) | −2.18480 | + | 14.8400i | −0.145653 | + | 0.989336i | ||||
\(226\) | 9.18745 | + | 7.70919i | 0.611140 | + | 0.512808i | ||||
\(227\) | 0.603767 | + | 0.603767i | 0.0400734 | + | 0.0400734i | 0.726860 | − | 0.686786i | \(-0.240979\pi\) |
−0.686786 | + | 0.726860i | \(0.740979\pi\) | |||||||
\(228\) | 4.57660 | + | 6.00456i | 0.303093 | + | 0.397662i | ||||
\(229\) | − | 18.9512i | − | 1.25233i | −0.779689 | − | 0.626167i | \(-0.784623\pi\) | ||
0.779689 | − | 0.626167i | \(-0.215377\pi\) | |||||||
\(230\) | 8.19216 | − | 2.95496i | 0.540175 | − | 0.194845i | ||||
\(231\) | 5.53062 | + | 7.61846i | 0.363888 | + | 0.501258i | ||||
\(232\) | −3.82512 | − | 2.67838i | −0.251132 | − | 0.175844i | ||||
\(233\) | 7.48734 | + | 10.6930i | 0.490512 | + | 0.700524i | 0.985747 | − | 0.168235i | \(-0.0538068\pi\) |
−0.495235 | + | 0.868759i | \(0.664918\pi\) | |||||||
\(234\) | −9.51307 | + | 2.01434i | −0.621889 | + | 0.131682i | ||||
\(235\) | 8.65286 | + | 8.70294i | 0.564451 | + | 0.567717i | ||||
\(236\) | 8.08823 | + | 4.66974i | 0.526499 | + | 0.303974i | ||||
\(237\) | −4.82270 | − | 24.8622i | −0.313268 | − | 1.61497i | ||||
\(238\) | −12.5716 | − | 1.09987i | −0.814897 | − | 0.0712942i | ||||
\(239\) | −5.56236 | + | 9.63428i | −0.359799 | + | 0.623190i | −0.987927 | − | 0.154920i | \(-0.950488\pi\) |
0.628128 | + | 0.778110i | \(0.283821\pi\) | |||||||
\(240\) | 3.38122 | + | 1.88874i | 0.218257 | + | 0.121918i | ||||
\(241\) | −18.5334 | − | 6.74561i | −1.19384 | − | 0.434523i | −0.332771 | − | 0.943008i | \(-0.607984\pi\) |
−0.861071 | + | 0.508484i | \(0.830206\pi\) | |||||||
\(242\) | 7.18163 | − | 5.02863i | 0.461653 | − | 0.323253i | ||||
\(243\) | −11.0013 | − | 11.0441i | −0.705732 | − | 0.708479i | ||||
\(244\) | 0.00839199 | + | 0.0230568i | 0.000537242 | + | 0.00147606i | ||||
\(245\) | −4.72757 | − | 13.1064i | −0.302033 | − | 0.837339i | ||||
\(246\) | −6.26395 | + | 1.79353i | −0.399375 | + | 0.114351i | ||||
\(247\) | −6.77701 | + | 12.3972i | −0.431211 | + | 0.788814i | ||||
\(248\) | 6.27306 | − | 6.27306i | 0.398340 | − | 0.398340i | ||||
\(249\) | −20.2257 | − | 9.01446i | −1.28175 | − | 0.571268i | ||||
\(250\) | 10.0916 | + | 4.81254i | 0.638246 | + | 0.304372i | ||||
\(251\) | 7.86219 | − | 1.38632i | 0.496257 | − | 0.0875035i | 0.0800826 | − | 0.996788i | \(-0.474482\pi\) |
0.416175 | + | 0.909285i | \(0.363370\pi\) | |||||||
\(252\) | 10.0415 | + | 4.27159i | 0.632558 | + | 0.269085i | ||||
\(253\) | 2.45953 | + | 5.27447i | 0.154629 | + | 0.331603i | ||||
\(254\) | −2.95955 | − | 5.12609i | −0.185699 | − | 0.321640i | ||||
\(255\) | 9.36558 | − | 9.63502i | 0.586495 | − | 0.603368i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 25.6562 | + | 2.24463i | 1.60039 | + | 0.140016i | 0.852108 | − | 0.523366i | \(-0.175324\pi\) |
0.748281 | + | 0.663382i | \(0.230879\pi\) | |||||||
\(258\) | 3.22066 | + | 5.36480i | 0.200509 | + | 0.333998i | ||||
\(259\) | −22.9636 | + | 13.2580i | −1.42689 | + | 0.823813i | ||||
\(260\) | −0.652519 | + | 7.21840i | −0.0404675 | + | 0.447666i | ||||
\(261\) | 12.9928 | − | 5.23771i | 0.804237 | − | 0.324206i | ||||
\(262\) | 6.81055 | + | 4.76880i | 0.420757 | + | 0.294617i | ||||
\(263\) | −11.2736 | + | 24.1763i | −0.695161 | + | 1.49078i | 0.167967 | + | 0.985793i | \(0.446280\pi\) |
−0.863128 | + | 0.504985i | \(0.831498\pi\) | |||||||
\(264\) | −1.05362 | + | 2.36399i | −0.0648456 | + | 0.145493i | ||||
\(265\) | −5.86331 | − | 22.1374i | −0.360180 | − | 1.35989i | ||||
\(266\) | 14.2096 | − | 7.03406i | 0.871244 | − | 0.431286i | ||||
\(267\) | −15.6313 | − | 8.67249i | −0.956618 | − | 0.530748i | ||||
\(268\) | −0.0962128 | − | 1.09972i | −0.00587713 | − | 0.0671759i | ||||
\(269\) | −29.8393 | + | 10.8606i | −1.81933 | + | 0.662183i | −0.823899 | + | 0.566737i | \(0.808206\pi\) |
−0.995435 | + | 0.0954466i | \(0.969572\pi\) | |||||||
\(270\) | −10.2809 | + | 5.41317i | −0.625678 | + | 0.329435i | ||||
\(271\) | 0.100583 | − | 0.570433i | 0.00610996 | − | 0.0346513i | −0.981600 | − | 0.190947i | \(-0.938844\pi\) |
0.987710 | + | 0.156296i | \(0.0499553\pi\) | |||||||
\(272\) | −1.46622 | − | 3.14431i | −0.0889025 | − | 0.190652i | ||||
\(273\) | 0.348468 | + | 20.4182i | 0.0210903 | + | 1.23577i | ||||
\(274\) | −15.3013 | − | 8.83423i | −0.924387 | − | 0.533695i | ||||
\(275\) | −2.59582 | + | 7.00592i | −0.156534 | + | 0.422473i | ||||
\(276\) | 5.59107 | + | 3.77438i | 0.336543 | + | 0.227191i | ||||
\(277\) | 8.35751 | + | 31.1907i | 0.502154 | + | 1.87407i | 0.485561 | + | 0.874203i | \(0.338615\pi\) |
0.0165936 | + | 0.999862i | \(0.494718\pi\) | |||||||
\(278\) | −1.90592 | − | 0.510690i | −0.114310 | − | 0.0306292i | ||||
\(279\) | 5.51321 | + | 26.0371i | 0.330067 | + | 1.55880i | ||||
\(280\) | 5.24612 | − | 6.21557i | 0.313516 | − | 0.371452i | ||||
\(281\) | 2.01999 | − | 0.356179i | 0.120503 | − | 0.0212479i | −0.113072 | − | 0.993587i | \(-0.536069\pi\) |
0.233574 | + | 0.972339i | \(0.424958\pi\) | |||||||
\(282\) | −1.49074 | + | 9.38859i | −0.0887725 | + | 0.559082i | ||||
\(283\) | 0.362247 | + | 4.14050i | 0.0215334 | + | 0.246127i | 0.999331 | + | 0.0365756i | \(0.0116450\pi\) |
−0.977798 | + | 0.209552i | \(0.932799\pi\) | |||||||
\(284\) | −6.08656 | −0.361171 | ||||||||
\(285\) | −3.75485 | + | 16.4591i | −0.222418 | + | 0.974951i | ||||
\(286\) | −4.84343 | −0.286398 | ||||||||
\(287\) | 1.19259 | + | 13.6314i | 0.0703963 | + | 0.804633i | ||||
\(288\) | 0.363295 | + | 2.97792i | 0.0214074 | + | 0.175476i | ||||
\(289\) | 4.88809 | − | 0.861902i | 0.287535 | − | 0.0507001i | ||||
\(290\) | −0.880029 | − | 10.4044i | −0.0516771 | − | 0.610969i | ||||
\(291\) | 2.71862 | + | 0.191166i | 0.159368 | + | 0.0112063i | ||||
\(292\) | −7.04786 | − | 1.88847i | −0.412445 | − | 0.110514i | ||||
\(293\) | −6.33646 | − | 23.6480i | −0.370180 | − | 1.38153i | −0.860261 | − | 0.509853i | \(-0.829700\pi\) |
0.490081 | − | 0.871677i | \(-0.336967\pi\) | |||||||
\(294\) | 6.03854 | − | 8.94500i | 0.352175 | − | 0.521683i | ||||
\(295\) | 3.56707 | + | 20.5768i | 0.207683 | + | 1.19803i | ||||
\(296\) | −6.31310 | − | 3.64487i | −0.366941 | − | 0.211854i | ||||
\(297\) | −4.22124 | − | 6.51675i | −0.244941 | − | 0.378140i | ||||
\(298\) | 1.16737 | + | 2.50343i | 0.0676238 | + | 0.145020i | ||||
\(299\) | −2.19213 | + | 12.4322i | −0.126774 | + | 0.718973i | ||||
\(300\) | 1.60007 | + | 8.51116i | 0.0923800 | + | 0.491392i | ||||
\(301\) | 12.3483 | − | 4.49442i | 0.711746 | − | 0.259054i | ||||
\(302\) | 1.08660 | + | 12.4198i | 0.0625266 | + | 0.714682i | ||||
\(303\) | 5.25592 | − | 9.47326i | 0.301945 | − | 0.544224i | ||||
\(304\) | 3.62794 | + | 2.41620i | 0.208077 | + | 0.138579i | ||||
\(305\) | −0.0275696 | + | 0.0474354i | −0.00157863 | + | 0.00271615i | ||||
\(306\) | 10.3057 | + | 1.45653i | 0.589137 | + | 0.0832645i | ||||
\(307\) | 11.8162 | − | 25.3399i | 0.674386 | − | 1.44623i | −0.209160 | − | 0.977881i | \(-0.567073\pi\) |
0.883546 | − | 0.468344i | \(-0.155149\pi\) | |||||||
\(308\) | 4.45237 | + | 3.11758i | 0.253697 | + | 0.177641i | ||||
\(309\) | 30.2655 | − | 3.16915i | 1.72174 | − | 0.180287i | ||||
\(310\) | 19.7566 | + | 1.78593i | 1.12210 | + | 0.101434i | ||||
\(311\) | −29.6444 | + | 17.1152i | −1.68098 | + | 0.970513i | −0.719964 | + | 0.694012i | \(0.755842\pi\) |
−0.961014 | + | 0.276501i | \(0.910825\pi\) | |||||||
\(312\) | −4.81339 | + | 2.88963i | −0.272504 | + | 0.163593i | ||||
\(313\) | 1.10775 | + | 0.0969157i | 0.0626138 | + | 0.00547800i | 0.118420 | − | 0.992964i | \(-0.462217\pi\) |
−0.0558058 | + | 0.998442i | \(0.517773\pi\) | |||||||
\(314\) | −17.1867 | + | 14.4213i | −0.969900 | + | 0.813843i | ||||
\(315\) | 7.04859 | + | 23.3605i | 0.397143 | + | 1.31622i | ||||
\(316\) | −7.31087 | − | 12.6628i | −0.411269 | − | 0.712338i | ||||
\(317\) | −14.3403 | − | 30.7528i | −0.805430 | − | 1.72725i | −0.677571 | − | 0.735457i | \(-0.736968\pi\) |
−0.127858 | − | 0.991792i | \(-0.540810\pi\) | |||||||
\(318\) | 11.1688 | − | 13.7813i | 0.626314 | − | 0.772819i | ||||
\(319\) | 6.87166 | − | 1.21166i | 0.384739 | − | 0.0678399i | ||||
\(320\) | 2.20097 | + | 0.394641i | 0.123038 | + | 0.0220611i | ||||
\(321\) | −12.9430 | + | 29.0401i | −0.722407 | + | 1.62086i | ||||
\(322\) | 10.0174 | − | 10.0174i | 0.558248 | − | 0.558248i | ||||
\(323\) | 11.3547 | − | 9.98818i | 0.631794 | − | 0.555757i | ||||
\(324\) | −8.08301 | − | 3.95790i | −0.449056 | − | 0.219883i | ||||
\(325\) | −13.3291 | + | 9.21900i | −0.739367 | + | 0.511378i | ||||
\(326\) | 2.00633 | + | 5.51235i | 0.111120 | + | 0.305301i | ||||
\(327\) | 2.20572 | + | 0.760447i | 0.121976 | + | 0.0420528i | ||||
\(328\) | −3.08150 | + | 2.15769i | −0.170147 | + | 0.119139i | ||||
\(329\) | 18.7598 | + | 6.82802i | 1.03426 | + | 0.376441i | ||||
\(330\) | −5.56829 | + | 1.57697i | −0.306524 | + | 0.0868096i | ||||
\(331\) | 4.10578 | − | 7.11143i | 0.225674 | − | 0.390879i | −0.730847 | − | 0.682541i | \(-0.760875\pi\) |
0.956522 | + | 0.291662i | \(0.0942082\pi\) | |||||||
\(332\) | −12.7360 | − | 1.11425i | −0.698976 | − | 0.0611525i | ||||
\(333\) | 19.4933 | − | 9.91327i | 1.06823 | − | 0.543244i | ||||
\(334\) | −14.7832 | − | 8.53507i | −0.808900 | − | 0.467018i | ||||
\(335\) | 1.75048 | − | 1.74040i | 0.0956387 | − | 0.0950884i | ||||
\(336\) | 6.28473 | + | 0.441924i | 0.342860 | + | 0.0241089i | ||||
\(337\) | 5.75243 | + | 8.21532i | 0.313355 | + | 0.447517i | 0.944676 | − | 0.328004i | \(-0.106376\pi\) |
−0.631322 | + | 0.775521i | \(0.717487\pi\) | |||||||
\(338\) | 2.04278 | + | 1.43037i | 0.111113 | + | 0.0778020i | ||||
\(339\) | −16.8105 | + | 12.2036i | −0.913024 | + | 0.662809i | ||||
\(340\) | 3.29883 | − | 7.02141i | 0.178904 | − | 0.380790i | ||||
\(341\) | 13.2564i | 0.717872i | ||||||||
\(342\) | −12.0110 | + | 5.17074i | −0.649479 | + | 0.279602i | ||||
\(343\) | 1.97785 | + | 1.97785i | 0.106794 | + | 0.106794i | ||||
\(344\) | 2.76745 | + | 2.32217i | 0.149211 | + | 0.125203i | ||||
\(345\) | 1.52760 | + | 15.0065i | 0.0822433 | + | 0.807925i | ||||
\(346\) | −1.91771 | − | 10.8758i | −0.103096 | − | 0.584689i | ||||
\(347\) | 6.27006 | − | 4.39035i | 0.336595 | − | 0.235686i | −0.393043 | − | 0.919520i | \(-0.628578\pi\) |
0.729638 | + | 0.683834i | \(0.239689\pi\) | |||||||
\(348\) | 6.10616 | − | 5.30384i | 0.327324 | − | 0.284316i | ||||
\(349\) | −12.9502 | + | 7.47683i | −0.693211 | + | 0.400225i | −0.804814 | − | 0.593528i | \(-0.797735\pi\) |
0.111603 | + | 0.993753i | \(0.464401\pi\) | |||||||
\(350\) | 18.1869 | + | 0.104943i | 0.972133 | + | 0.00560945i | ||||
\(351\) | 0.607405 | − | 16.8315i | 0.0324209 | − | 0.898399i | ||||
\(352\) | −0.130234 | + | 1.48859i | −0.00694152 | + | 0.0793419i | ||||
\(353\) | 4.19379 | + | 15.6514i | 0.223213 | + | 0.833042i | 0.983113 | + | 0.183002i | \(0.0585814\pi\) |
−0.759900 | + | 0.650040i | \(0.774752\pi\) | |||||||
\(354\) | −11.2416 | + | 11.6320i | −0.597486 | + | 0.618234i | ||||
\(355\) | −8.71819 | − | 10.4510i | −0.462714 | − | 0.554683i | ||||
\(356\) | −10.1639 | − | 1.79216i | −0.538684 | − | 0.0949845i | ||||
\(357\) | 7.12425 | − | 20.6642i | 0.377055 | − | 1.09367i | ||||
\(358\) | 3.53574 | + | 1.64874i | 0.186869 | + | 0.0871387i | ||||
\(359\) | 3.20464 | + | 2.68902i | 0.169135 | + | 0.141921i | 0.723426 | − | 0.690402i | \(-0.242566\pi\) |
−0.554291 | + | 0.832323i | \(0.687011\pi\) | |||||||
\(360\) | −4.59292 | + | 4.88928i | −0.242068 | + | 0.257688i | ||||
\(361\) | −5.65869 | + | 18.1378i | −0.297826 | + | 0.954620i | ||||
\(362\) | 6.62458 | + | 6.62458i | 0.348180 | + | 0.348180i | ||||
\(363\) | 5.43637 | + | 14.1787i | 0.285335 | + | 0.744187i | ||||
\(364\) | 4.03248 | + | 11.0791i | 0.211359 | + | 0.580704i | ||||
\(365\) | −6.85251 | − | 14.8066i | −0.358677 | − | 0.775015i | ||||
\(366\) | −0.0422674 | + | 0.00442589i | −0.00220935 | + | 0.000231345i | ||||
\(367\) | 25.3501 | − | 11.8210i | 1.32327 | − | 0.617049i | 0.372810 | − | 0.927908i | \(-0.378394\pi\) |
0.950456 | + | 0.310858i | \(0.100616\pi\) | |||||||
\(368\) | 3.76199 | + | 1.00802i | 0.196107 | + | 0.0525468i | ||||
\(369\) | −0.385096 | − | 11.2789i | −0.0200473 | − | 0.587155i | ||||
\(370\) | −2.78420 | − | 16.0608i | −0.144744 | − | 0.834962i | ||||
\(371\) | −23.9458 | − | 28.5375i | −1.24320 | − | 1.48159i | ||||
\(372\) | 7.90886 | + | 13.1741i | 0.410055 | + | 0.683047i | ||||
\(373\) | 3.61782 | − | 13.5019i | 0.187324 | − | 0.699101i | −0.806798 | − | 0.590828i | \(-0.798801\pi\) |
0.994121 | − | 0.108273i | \(-0.0345321\pi\) | |||||||
\(374\) | 4.87153 | + | 1.77309i | 0.251901 | + | 0.0916845i | ||||
\(375\) | −12.3223 | + | 14.9385i | −0.636323 | + | 0.771423i | ||||
\(376\) | 0.953052 | + | 5.40503i | 0.0491499 | + | 0.278743i | ||||
\(377\) | 13.7177 | + | 6.39665i | 0.706495 | + | 0.329444i | ||||
\(378\) | −11.3923 | + | 15.0815i | −0.585958 | + | 0.775710i | ||||
\(379\) | − | 18.1240i | − | 0.930966i | −0.885057 | − | 0.465483i | \(-0.845881\pi\) | ||
0.885057 | − | 0.465483i | \(-0.154119\pi\) | |||||||
\(380\) | 1.04777 | + | 9.69031i | 0.0537495 | + | 0.497103i | ||||
\(381\) | 9.85613 | − | 2.82206i | 0.504945 | − | 0.144578i | ||||
\(382\) | −15.3915 | + | 1.34658i | −0.787498 | + | 0.0688972i | ||||
\(383\) | 14.4178 | − | 30.9190i | 0.736714 | − | 1.57989i | −0.0759202 | − | 0.997114i | \(-0.524189\pi\) |
0.812634 | − | 0.582774i | \(-0.198033\pi\) | |||||||
\(384\) | 0.758676 | + | 1.55705i | 0.0387160 | + | 0.0794580i | ||||
\(385\) | 1.02434 | + | 12.1105i | 0.0522050 | + | 0.617210i | ||||
\(386\) | −5.86734 | + | 16.1204i | −0.298640 | + | 0.820506i | ||||
\(387\) | −10.3668 | + | 3.16066i | −0.526976 | + | 0.160665i | ||||
\(388\) | 1.51986 | − | 0.407245i | 0.0771591 | − | 0.0206747i | ||||
\(389\) | 20.3936 | − | 17.1123i | 1.03400 | − | 0.867628i | 0.0426773 | − | 0.999089i | \(-0.486411\pi\) |
0.991321 | + | 0.131461i | \(0.0419668\pi\) | |||||||
\(390\) | −11.8562 | − | 4.12589i | −0.600364 | − | 0.208923i | ||||
\(391\) | 6.75607 | − | 11.7019i | 0.341669 | − | 0.591788i | ||||
\(392\) | 1.61271 | − | 6.01871i | 0.0814540 | − | 0.303991i | ||||
\(393\) | −10.8719 | + | 9.44337i | −0.548414 | + | 0.476355i | ||||
\(394\) | −10.8699 | − | 1.91666i | −0.547620 | − | 0.0965601i | ||||
\(395\) | 11.2710 | − | 30.6911i | 0.567106 | − | 1.54423i | ||||
\(396\) | −3.53036 | − | 2.76264i | −0.177407 | − | 0.138828i | ||||
\(397\) | 17.5329 | − | 1.53393i | 0.879952 | − | 0.0769859i | 0.361781 | − | 0.932263i | \(-0.382169\pi\) |
0.518171 | + | 0.855277i | \(0.326613\pi\) | |||||||
\(398\) | 0.501551 | − | 0.501551i | 0.0251405 | − | 0.0251405i | ||||
\(399\) | 5.85693 | + | 26.8303i | 0.293213 | + | 1.34319i | ||||
\(400\) | 2.47497 | + | 4.34448i | 0.123749 | + | 0.217224i | ||||
\(401\) | −7.68434 | + | 9.15784i | −0.383738 | + | 0.457321i | −0.922990 | − | 0.384823i | \(-0.874262\pi\) |
0.539253 | + | 0.842144i | \(0.318707\pi\) | |||||||
\(402\) | 1.88838 | + | 0.299843i | 0.0941841 | + | 0.0149548i | ||||
\(403\) | −16.4934 | + | 23.5550i | −0.821593 | + | 1.17336i | ||||
\(404\) | 1.08613 | − | 6.15977i | 0.0540372 | − | 0.306460i | ||||
\(405\) | −4.78186 | − | 19.5482i | −0.237613 | − | 0.971360i | ||||
\(406\) | −8.49273 | − | 14.7098i | −0.421487 | − | 0.730038i | ||||
\(407\) | 10.5217 | − | 2.81928i | 0.521540 | − | 0.139746i | ||||
\(408\) | 5.89916 | − | 1.14430i | 0.292052 | − | 0.0566514i | ||||
\(409\) | 3.37102 | + | 4.01742i | 0.166686 | + | 0.198649i | 0.842921 | − | 0.538037i | \(-0.180834\pi\) |
−0.676235 | + | 0.736686i | \(0.736390\pi\) | |||||||
\(410\) | −8.11875 | − | 2.20054i | −0.400956 | − | 0.108677i | ||||
\(411\) | 21.2669 | − | 22.0054i | 1.04902 | − | 1.08545i | ||||
\(412\) | 15.9232 | − | 7.42512i | 0.784481 | − | 0.365809i | ||||
\(413\) | 19.4855 | + | 27.8281i | 0.958818 | + | 1.36933i | ||||
\(414\) | −8.68904 | + | 7.81144i | −0.427043 | + | 0.383911i | ||||
\(415\) | −16.3293 | − | 23.4645i | −0.801576 | − | 1.15183i | ||||
\(416\) | −2.08349 | + | 2.48300i | −0.102151 | + | 0.121739i | ||||
\(417\) | 1.65805 | − | 2.98846i | 0.0811950 | − | 0.146346i | ||||
\(418\) | −6.38630 | + | 1.28034i | −0.312364 | + | 0.0626233i | ||||
\(419\) | 11.0863 | 0.541602 | 0.270801 | − | 0.962635i | \(-0.412711\pi\) | ||||
0.270801 | + | 0.962635i | \(0.412711\pi\) | |||||||
\(420\) | 8.24323 | + | 11.4243i | 0.402229 | + | 0.557448i | ||||
\(421\) | −7.25631 | + | 2.64108i | −0.353651 | + | 0.128718i | −0.512736 | − | 0.858547i | \(-0.671368\pi\) |
0.159085 | + | 0.987265i | \(0.449146\pi\) | |||||||
\(422\) | −1.83855 | + | 2.62572i | −0.0894990 | + | 0.127818i | ||||
\(423\) | −15.1513 | − | 6.44525i | −0.736682 | − | 0.313379i | ||||
\(424\) | 3.50281 | − | 9.62389i | 0.170111 | − | 0.467377i | ||||
\(425\) | 16.7814 | − | 4.39293i | 0.814017 | − | 0.213089i | ||||
\(426\) | 2.55437 | − | 10.2281i | 0.123760 | − | 0.495552i | ||||
\(427\) | −0.00777868 | + | 0.0889107i | −0.000376437 | + | 0.00430269i | ||||
\(428\) | −1.59984 | + | 18.2863i | −0.0773314 | + | 0.883902i | ||||
\(429\) | 2.03266 | − | 8.13909i | 0.0981377 | − | 0.392959i | ||||
\(430\) | −0.0233061 | + | 8.07809i | −0.00112392 | + | 0.389560i | ||||
\(431\) | −1.66515 | + | 4.57496i | −0.0802075 | + | 0.220368i | −0.973314 | − | 0.229477i | \(-0.926299\pi\) |
0.893107 | + | 0.449845i | \(0.148521\pi\) | |||||||
\(432\) | −5.15668 | − | 0.639261i | −0.248101 | − | 0.0307564i | ||||
\(433\) | −7.41058 | + | 10.5834i | −0.356130 | + | 0.508606i | −0.956743 | − | 0.290933i | \(-0.906034\pi\) |
0.600613 | + | 0.799540i | \(0.294923\pi\) | |||||||
\(434\) | 30.3234 | − | 11.0368i | 1.45557 | − | 0.529783i | ||||
\(435\) | 17.8533 | + | 2.88763i | 0.856001 | + | 0.138451i | ||||
\(436\) | 1.34703 | 0.0645110 | ||||||||
\(437\) | 0.395957 | + | 16.9720i | 0.0189412 | + | 0.811880i | ||||
\(438\) | 6.13126 | − | 11.0510i | 0.292963 | − | 0.528035i | ||||
\(439\) | 25.4106 | − | 30.2831i | 1.21278 | − | 1.44533i | 0.352272 | − | 0.935898i | \(-0.385409\pi\) |
0.860508 | − | 0.509437i | \(-0.170146\pi\) | |||||||
\(440\) | −2.74255 | + | 1.90858i | −0.130746 | + | 0.0909881i | ||||
\(441\) | 12.4973 | + | 13.9014i | 0.595110 | + | 0.661970i | ||||
\(442\) | 6.45008 | + | 9.21166i | 0.306799 | + | 0.438154i | ||||
\(443\) | −0.435266 | + | 0.202968i | −0.0206801 | + | 0.00964328i | −0.432931 | − | 0.901427i | \(-0.642521\pi\) |
0.412251 | + | 0.911070i | \(0.364743\pi\) | |||||||
\(444\) | 8.77442 | − | 9.07912i | 0.416415 | − | 0.430876i | ||||
\(445\) | −11.4811 | − | 20.0191i | −0.544258 | − | 0.948996i | ||||
\(446\) | −9.35053 | − | 11.1435i | −0.442760 | − | 0.527661i | ||||
\(447\) | −4.69677 | + | 0.911067i | −0.222150 | + | 0.0430920i | ||||
\(448\) | 3.51350 | − | 0.941441i | 0.165997 | − | 0.0444789i | ||||
\(449\) | −3.62660 | − | 6.28146i | −0.171150 | − | 0.296440i | 0.767672 | − | 0.640843i | \(-0.221415\pi\) |
−0.938822 | + | 0.344402i | \(0.888082\pi\) | |||||||
\(450\) | −14.9740 | − | 0.883092i | −0.705880 | − | 0.0416293i | ||||
\(451\) | 0.976108 | − | 5.53578i | 0.0459631 | − | 0.260670i | ||||
\(452\) | −6.87911 | + | 9.82439i | −0.323566 | + | 0.462100i | ||||
\(453\) | −21.3268 | − | 3.38633i | −1.00202 | − | 0.159103i | ||||
\(454\) | −0.548848 | + | 0.654091i | −0.0257587 | + | 0.0306980i | ||||
\(455\) | −13.2476 | + | 22.7934i | −0.621058 | + | 1.06857i | ||||
\(456\) | −5.58283 | + | 5.08252i | −0.261440 | + | 0.238011i | ||||
\(457\) | −14.5973 | + | 14.5973i | −0.682833 | + | 0.682833i | −0.960638 | − | 0.277805i | \(-0.910393\pi\) |
0.277805 | + | 0.960638i | \(0.410393\pi\) | |||||||
\(458\) | 18.8791 | − | 1.65171i | 0.882164 | − | 0.0771793i | ||||
\(459\) | −6.77264 | + | 16.7068i | −0.316120 | + | 0.779806i | ||||
\(460\) | 3.65771 | + | 7.90345i | 0.170542 | + | 0.368500i | ||||
\(461\) | −9.58175 | − | 1.68952i | −0.446266 | − | 0.0786888i | −0.0540010 | − | 0.998541i | \(-0.517197\pi\) |
−0.392265 | + | 0.919852i | \(0.628309\pi\) | |||||||
\(462\) | −7.10744 | + | 6.17356i | −0.330668 | + | 0.287220i | ||||
\(463\) | 2.58882 | − | 9.66161i | 0.120313 | − | 0.449013i | −0.879317 | − | 0.476238i | \(-0.842000\pi\) |
0.999629 | + | 0.0272246i | \(0.00866692\pi\) | |||||||
\(464\) | 2.33481 | − | 4.04400i | 0.108391 | − | 0.187738i | ||||
\(465\) | −11.2925 | + | 32.4503i | −0.523676 | + | 1.50485i | ||||
\(466\) | −9.99978 | + | 8.39081i | −0.463231 | + | 0.388697i | ||||
\(467\) | 36.6306 | − | 9.81513i | 1.69506 | − | 0.454190i | 0.723372 | − | 0.690458i | \(-0.242591\pi\) |
0.971688 | + | 0.236268i | \(0.0759245\pi\) | |||||||
\(468\) | −2.83580 | − | 9.30130i | −0.131085 | − | 0.429953i | ||||
\(469\) | 1.37336 | − | 3.77328i | 0.0634160 | − | 0.174234i | ||||
\(470\) | −7.91567 | + | 9.37845i | −0.365123 | + | 0.432596i | ||||
\(471\) | −17.0214 | − | 34.9334i | −0.784303 | − | 1.60965i | ||||
\(472\) | −3.94704 | + | 8.46445i | −0.181677 | + | 0.389608i | ||||
\(473\) | −5.37774 | + | 0.470491i | −0.247269 | + | 0.0216332i | ||||
\(474\) | 24.3472 | − | 6.97122i | 1.11831 | − | 0.320199i | ||||
\(475\) | −15.1381 | + | 15.6792i | −0.694585 | + | 0.719411i | ||||
\(476\) | − | 12.6196i | − | 0.578420i | ||||||
\(477\) | 18.4714 | + | 24.5521i | 0.845749 | + | 1.12416i | ||||
\(478\) | −10.0824 | − | 4.70151i | −0.461159 | − | 0.215042i | ||||
\(479\) | −4.64278 | − | 26.3305i | −0.212134 | − | 1.20307i | −0.885811 | − | 0.464046i | \(-0.846397\pi\) |
0.673677 | − | 0.739026i | \(-0.264714\pi\) | |||||||
\(480\) | −1.58686 | + | 3.53297i | −0.0724298 | + | 0.161257i | ||||
\(481\) | 22.2035 | + | 8.08140i | 1.01239 | + | 0.368480i | ||||
\(482\) | 5.10465 | − | 19.0508i | 0.232510 | − | 0.867741i | ||||
\(483\) | 12.6296 | + | 21.0377i | 0.574667 | + | 0.957248i | ||||
\(484\) | 5.63542 | + | 6.71603i | 0.256155 | + | 0.305274i | ||||
\(485\) | 2.87626 | + | 2.02637i | 0.130604 | + | 0.0920129i | ||||
\(486\) | 10.0432 | − | 11.9220i | 0.455571 | − | 0.540792i | ||||
\(487\) | −28.4601 | − | 7.62586i | −1.28965 | − | 0.345561i | −0.452123 | − | 0.891956i | \(-0.649333\pi\) |
−0.837528 | + | 0.546395i | \(0.816000\pi\) | |||||||
\(488\) | −0.0222376 | + | 0.0103696i | −0.00100665 | + | 0.000469409i | ||||
\(489\) | −10.1052 | + | 1.05813i | −0.456972 | + | 0.0478502i | ||||
\(490\) | 12.6445 | − | 5.85188i | 0.571221 | − | 0.264361i | ||||
\(491\) | −3.37900 | − | 9.28372i | −0.152492 | − | 0.418969i | 0.839799 | − | 0.542897i | \(-0.182673\pi\) |
−0.992291 | + | 0.123929i | \(0.960451\pi\) | |||||||
\(492\) | −2.33264 | − | 6.08380i | −0.105164 | − | 0.274279i | ||||
\(493\) | −11.4556 | − | 11.4556i | −0.515932 | − | 0.515932i | ||||
\(494\) | −12.9407 | − | 5.67074i | −0.582228 | − | 0.255138i | ||||
\(495\) | −0.313142 | − | 10.0190i | −0.0140747 | − | 0.450320i | ||||
\(496\) | 6.79593 | + | 5.70246i | 0.305146 | + | 0.256048i | ||||
\(497\) | −20.0652 | − | 9.35657i | −0.900048 | − | 0.419699i | ||||
\(498\) | 7.21738 | − | 20.9344i | 0.323418 | − | 0.938092i | ||||
\(499\) | 27.5388 | + | 4.85583i | 1.23281 | + | 0.217377i | 0.751830 | − | 0.659357i | \(-0.229171\pi\) |
0.480976 | + | 0.876734i | \(0.340283\pi\) | |||||||
\(500\) | −3.91469 | + | 10.4726i | −0.175070 | + | 0.468349i | ||||
\(501\) | 20.5468 | − | 21.2603i | 0.917962 | − | 0.949839i | ||||
\(502\) | 2.06628 | + | 7.71145i | 0.0922224 | + | 0.344179i | ||||
\(503\) | −0.974289 | + | 11.1362i | −0.0434414 | + | 0.496537i | 0.943042 | + | 0.332675i | \(0.107951\pi\) |
−0.986483 | + | 0.163863i | \(0.947605\pi\) | |||||||
\(504\) | −3.38016 | + | 10.3756i | −0.150564 | + | 0.462167i | ||||
\(505\) | 12.1325 | − | 6.95810i | 0.539888 | − | 0.309631i | ||||
\(506\) | −5.04004 | + | 2.90987i | −0.224057 | + | 0.129359i | ||||
\(507\) | −3.26095 | + | 2.83248i | −0.144824 | + | 0.125795i | ||||
\(508\) | 4.84865 | − | 3.39506i | 0.215124 | − | 0.150631i | ||||
\(509\) | 2.57318 | + | 14.5933i | 0.114054 | + | 0.646835i | 0.987214 | + | 0.159400i | \(0.0509560\pi\) |
−0.873160 | + | 0.487434i | \(0.837933\pi\) | |||||||
\(510\) | 10.4146 | + | 8.49019i | 0.461167 | + | 0.375952i | ||||
\(511\) | −20.3313 | − | 17.0600i | −0.899402 | − | 0.754688i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −3.64843 | − | 22.3537i | −0.161082 | − | 0.986941i | ||||
\(514\) | 25.7542i | 1.13597i | ||||||||
\(515\) | 35.5574 | + | 16.7057i | 1.56684 | + | 0.736142i | ||||
\(516\) | −5.06368 | + | 3.67598i | −0.222916 | + | 0.161826i | ||||
\(517\) | −6.71801 | − | 4.70400i | −0.295458 | − | 0.206882i | ||||
\(518\) | −15.2090 | − | 21.7207i | −0.668244 | − | 0.954351i | ||||
\(519\) | 19.0810 | + | 1.34172i | 0.837563 | + | 0.0588950i | ||||
\(520\) | −7.24781 | − | 0.0209107i | −0.317837 | − | 0.000916993i | ||||
\(521\) | −21.2065 | − | 12.2436i | −0.929076 | − | 0.536402i | −0.0425565 | − | 0.999094i | \(-0.513550\pi\) |
−0.886519 | + | 0.462692i | \(0.846884\pi\) | |||||||
\(522\) | 6.35018 | + | 12.4869i | 0.277940 | + | 0.546537i | ||||
\(523\) | 5.97160 | + | 0.522447i | 0.261120 | + | 0.0228450i | 0.216964 | − | 0.976180i | \(-0.430385\pi\) |
0.0441558 | + | 0.999025i | \(0.485940\pi\) | |||||||
\(524\) | −4.15707 | + | 7.20026i | −0.181602 | + | 0.314545i | ||||
\(525\) | −7.80893 | + | 30.5180i | −0.340810 | + | 1.33191i | ||||
\(526\) | −25.0669 | − | 9.12361i | −1.09297 | − | 0.397808i | ||||
\(527\) | 25.2121 | − | 17.6537i | 1.09826 | − | 0.769008i | ||||
\(528\) | −2.44682 | − | 0.843571i | −0.106484 | − | 0.0367117i | ||||
\(529\) | −2.67847 | − | 7.35905i | −0.116455 | − | 0.319959i | ||||
\(530\) | 21.5422 | − | 7.77040i | 0.935732 | − | 0.337525i | ||||
\(531\) | −14.8291 | − | 23.7725i | −0.643526 | − | 1.03164i | ||||
\(532\) | 8.24574 | + | 13.5424i | 0.357498 | + | 0.587139i | ||||
\(533\) | 8.62196 | − | 8.62196i | 0.373459 | − | 0.373459i | ||||
\(534\) | 7.27713 | − | 16.3276i | 0.314912 | − | 0.706566i | ||||
\(535\) | −33.6904 | + | 23.4457i | −1.45656 | + | 1.01365i | ||||
\(536\) | 1.08715 | − | 0.191693i | 0.0469576 | − | 0.00827989i | ||||
\(537\) | −4.25446 | + | 5.24966i | −0.183594 | + | 0.226539i | ||||
\(538\) | −13.4200 | − | 28.7792i | −0.578575 | − | 1.24076i | ||||
\(539\) | 4.65542 | + | 8.06343i | 0.200523 | + | 0.347316i | ||||
\(540\) | −6.28861 | − | 9.77002i | −0.270619 | − | 0.420435i | ||||
\(541\) | 6.19727 | − | 5.20013i | 0.266442 | − | 0.223571i | −0.499772 | − | 0.866157i | \(-0.666583\pi\) |
0.766214 | + | 0.642586i | \(0.222138\pi\) | |||||||
\(542\) | 0.577028 | + | 0.0504834i | 0.0247855 | + | 0.00216845i | ||||
\(543\) | −13.9124 | + | 8.35204i | −0.597037 | + | 0.358420i | ||||
\(544\) | 3.00456 | − | 1.73468i | 0.128819 | − | 0.0743739i | ||||
\(545\) | 1.92944 | + | 2.31294i | 0.0826482 | + | 0.0990754i | ||||
\(546\) | −20.3101 | + | 2.12671i | −0.869193 | + | 0.0910146i | ||||
\(547\) | 18.4846 | + | 12.9431i | 0.790346 | + | 0.553406i | 0.897592 | − | 0.440826i | \(-0.145314\pi\) |
−0.107246 | + | 0.994232i | \(0.534203\pi\) | |||||||
\(548\) | 7.46701 | − | 16.0131i | 0.318975 | − | 0.684044i | ||||
\(549\) | 0.0103011 | − | 0.0728853i | 0.000439640 | − | 0.00311067i | ||||
\(550\) | −7.20550 | − | 1.97534i | −0.307244 | − | 0.0842288i | ||||
\(551\) | 19.7783 | + | 4.80810i | 0.842585 | + | 0.204832i | ||||
\(552\) | −3.27273 | + | 5.89875i | −0.139296 | + | 0.251068i | ||||
\(553\) | −4.63545 | − | 52.9834i | −0.197119 | − | 2.25308i | ||||
\(554\) | −30.3436 | + | 11.0442i | −1.28917 | + | 0.469221i | ||||
\(555\) | 28.1577 | + | 2.06162i | 1.19523 | + | 0.0875109i | ||||
\(556\) | 0.342635 | − | 1.94318i | 0.0145310 | − | 0.0824091i | ||||
\(557\) | −3.04569 | − | 6.53151i | −0.129050 | − | 0.276749i | 0.831157 | − | 0.556038i | \(-0.187679\pi\) |
−0.960207 | + | 0.279289i | \(0.909901\pi\) | |||||||
\(558\) | −25.4575 | + | 7.76151i | −1.07770 | + | 0.328571i | ||||
\(559\) | −10.1410 | − | 5.85489i | −0.428917 | − | 0.247636i | ||||
\(560\) | 6.64915 | + | 4.68443i | 0.280978 | + | 0.197953i | ||||
\(561\) | −5.02403 | + | 7.44219i | −0.212115 | + | 0.314210i | ||||
\(562\) | 0.530878 | + | 1.98126i | 0.0223937 | + | 0.0835746i | ||||
\(563\) | −27.4965 | − | 7.36766i | −1.15884 | − | 0.310510i | −0.372337 | − | 0.928098i | \(-0.621443\pi\) |
−0.786502 | + | 0.617588i | \(0.788110\pi\) | |||||||
\(564\) | −9.48279 | − | 0.666802i | −0.399297 | − | 0.0280774i | ||||
\(565\) | −26.7226 | + | 2.26025i | −1.12423 | + | 0.0950896i | ||||
\(566\) | −4.09318 | + | 0.721738i | −0.172049 | + | 0.0303369i | ||||
\(567\) | −20.5625 | − | 25.4734i | −0.863545 | − | 1.06978i | ||||
\(568\) | −0.530478 | − | 6.06339i | −0.0222584 | − | 0.254414i | ||||
\(569\) | −26.5691 | −1.11383 | −0.556916 | − | 0.830568i | \(-0.688016\pi\) | ||||
−0.556916 | + | 0.830568i | \(0.688016\pi\) | |||||||
\(570\) | −16.7237 | − | 2.30605i | −0.700479 | − | 0.0965900i | ||||
\(571\) | −25.0210 | −1.04710 | −0.523548 | − | 0.851996i | \(-0.675392\pi\) | ||||
−0.523548 | + | 0.851996i | \(0.675392\pi\) | |||||||
\(572\) | −0.422133 | − | 4.82500i | −0.0176503 | − | 0.201743i | ||||
\(573\) | 4.19656 | − | 26.4296i | 0.175314 | − | 1.10411i | ||||
\(574\) | −13.4755 | + | 2.37610i | −0.562458 | + | 0.0991765i | ||||
\(575\) | −8.33155 | + | 17.6012i | −0.347450 | + | 0.734020i | ||||
\(576\) | −2.93493 | + | 0.621455i | −0.122289 | + | 0.0258940i | ||||
\(577\) | −41.5365 | − | 11.1297i | −1.72919 | − | 0.463334i | −0.749192 | − | 0.662353i | \(-0.769558\pi\) |
−0.979996 | + | 0.199018i | \(0.936225\pi\) | |||||||
\(578\) | 1.28465 | + | 4.79437i | 0.0534343 | + | 0.199419i | ||||
\(579\) | −24.6270 | − | 16.6250i | −1.02346 | − | 0.690912i | ||||
\(580\) | 10.2881 | − | 1.78348i | 0.427191 | − | 0.0740552i | ||||
\(581\) | −40.2731 | − | 23.2517i | −1.67081 | − | 0.964642i | ||||
\(582\) | 0.0465053 | + | 2.72494i | 0.00192771 | + | 0.112952i | ||||
\(583\) | 6.46759 | + | 13.8698i | 0.267860 | + | 0.574428i | ||||
\(584\) | 1.26702 | − | 7.18563i | 0.0524297 | − | 0.297344i | ||||
\(585\) | 11.9091 | − | 18.1922i | 0.492379 | − | 0.752153i | ||||
\(586\) | 23.0057 | − | 8.37340i | 0.950358 | − | 0.345902i | ||||
\(587\) | −1.41698 | − | 16.1961i | −0.0584848 | − | 0.668485i | −0.967691 | − | 0.252139i | \(-0.918866\pi\) |
0.909206 | − | 0.416346i | \(-0.136689\pi\) | |||||||
\(588\) | 9.43726 | + | 5.23595i | 0.389186 | + | 0.215927i | ||||
\(589\) | −15.5207 | + | 35.4183i | −0.639519 | + | 1.45939i | ||||
\(590\) | −20.1876 | + | 5.34689i | −0.831112 | + | 0.220128i | ||||
\(591\) | 7.78266 | − | 17.4619i | 0.320136 | − | 0.718286i | ||||
\(592\) | 3.08078 | − | 6.60674i | 0.126619 | − | 0.271536i | ||||
\(593\) | −4.97308 | − | 3.48219i | −0.204220 | − | 0.142996i | 0.466993 | − | 0.884261i | \(-0.345337\pi\) |
−0.671213 | + | 0.741265i | \(0.734226\pi\) | |||||||
\(594\) | 6.12405 | − | 4.77315i | 0.251273 | − | 0.195845i | ||||
\(595\) | 21.6688 | − | 18.0760i | 0.888333 | − | 0.741043i | ||||
\(596\) | −2.39216 | + | 1.38111i | −0.0979866 | + | 0.0565726i | ||||
\(597\) | 0.632338 | + | 1.05331i | 0.0258799 | + | 0.0431093i | ||||
\(598\) | −12.5760 | − | 1.10025i | −0.514269 | − | 0.0449927i | ||||
\(599\) | −1.29900 | + | 1.08999i | −0.0530757 | + | 0.0445358i | −0.668940 | − | 0.743317i | \(-0.733252\pi\) |
0.615864 | + | 0.787853i | \(0.288807\pi\) | |||||||
\(600\) | −8.33931 | + | 2.33578i | −0.340451 | + | 0.0953576i | ||||
\(601\) | 9.51126 | + | 16.4740i | 0.387973 | + | 0.671988i | 0.992177 | − | 0.124841i | \(-0.0398422\pi\) |
−0.604204 | + | 0.796830i | \(0.706509\pi\) | |||||||
\(602\) | 5.55355 | + | 11.9096i | 0.226346 | + | 0.485400i | ||||
\(603\) | −1.29637 | + | 3.04748i | −0.0527924 | + | 0.124103i | ||||
\(604\) | −12.2779 | + | 2.16492i | −0.499580 | + | 0.0880894i | ||||
\(605\) | −3.45988 | + | 19.2962i | −0.140664 | + | 0.784503i | ||||
\(606\) | 9.89529 | + | 4.41027i | 0.401969 | + | 0.179155i | ||||
\(607\) | 23.2357 | − | 23.2357i | 0.943109 | − | 0.943109i | −0.0553574 | − | 0.998467i | \(-0.517630\pi\) |
0.998467 | + | 0.0553574i | \(0.0176298\pi\) | |||||||
\(608\) | −2.09081 | + | 3.82472i | −0.0847936 | + | 0.155113i | ||||
\(609\) | 28.2832 | − | 8.09818i | 1.14609 | − | 0.328155i | ||||
\(610\) | −0.0496578 | − | 0.0233305i | −0.00201059 | − | 0.000944623i | ||||
\(611\) | −6.08445 | − | 16.7169i | −0.246151 | − | 0.676293i | ||||
\(612\) | −0.552791 | + | 10.3934i | −0.0223453 | + | 0.420129i | ||||
\(613\) | 32.1495 | − | 22.5113i | 1.29851 | − | 0.909224i | 0.299514 | − | 0.954092i | \(-0.403175\pi\) |
0.998993 | + | 0.0448674i | \(0.0142865\pi\) | |||||||
\(614\) | 26.2733 | + | 9.56271i | 1.06031 | + | 0.385920i | ||||
\(615\) | 7.10509 | − | 12.7195i | 0.286505 | − | 0.512902i | ||||
\(616\) | −2.71767 | + | 4.70714i | −0.109498 | + | 0.189656i | ||||
\(617\) | −3.46738 | − | 0.303356i | −0.139591 | − | 0.0122127i | 0.0171459 | − | 0.999853i | \(-0.494542\pi\) |
−0.156737 | + | 0.987640i | \(0.550098\pi\) | |||||||
\(618\) | 5.79490 | + | 29.8741i | 0.233105 | + | 1.20171i | ||||
\(619\) | 3.17771 | + | 1.83465i | 0.127723 | + | 0.0737409i | 0.562500 | − | 0.826797i | \(-0.309840\pi\) |
−0.434777 | + | 0.900538i | \(0.643173\pi\) | |||||||
\(620\) | −0.0572320 | + | 19.8371i | −0.00229849 | + | 0.796677i | ||||
\(621\) | −9.48008 | − | 17.8797i | −0.380422 | − | 0.717486i | ||||
\(622\) | −19.6337 | − | 28.0399i | −0.787241 | − | 1.12430i | ||||
\(623\) | −30.7517 | − | 21.5326i | −1.23204 | − | 0.862684i | ||||
\(624\) | −3.29815 | − | 4.54322i | −0.132032 | − | 0.181874i | ||||
\(625\) | −23.5894 | + | 8.27883i | −0.943577 | + | 0.331153i | ||||
\(626\) | 1.11198i | 0.0444438i | ||||||||
\(627\) | 0.528635 | − | 11.2691i | 0.0211117 | − | 0.450045i | ||||
\(628\) | −15.8644 | − | 15.8644i | −0.633058 | − | 0.633058i | ||||
\(629\) | −19.3739 | − | 16.2566i | −0.772486 | − | 0.648193i | ||||
\(630\) | −22.6573 | + | 9.05777i | −0.902688 | + | 0.360870i | ||||
\(631\) | −0.514163 | − | 2.91596i | −0.0204685 | − | 0.116083i | 0.972862 | − | 0.231388i | \(-0.0743266\pi\) |
−0.993330 | + | 0.115305i | \(0.963215\pi\) | |||||||
\(632\) | 11.9774 | − | 8.38669i | 0.476436 | − | 0.333604i | ||||
\(633\) | −3.64076 | − | 4.19151i | −0.144707 | − | 0.166597i | ||||
\(634\) | 29.3859 | − | 16.9660i | 1.16706 | − | 0.673805i | ||||
\(635\) | 12.7746 | + | 3.46247i | 0.506944 | + | 0.137404i | ||||
\(636\) | 14.7023 | + | 9.92515i | 0.582985 | + | 0.393558i | ||||
\(637\) | −1.76027 | + | 20.1200i | −0.0697444 | + | 0.797182i | ||||
\(638\) | 1.80595 | + | 6.73991i | 0.0714984 | + | 0.266836i | ||||
\(639\) | 16.1157 | + | 8.58492i | 0.637526 | + | 0.339614i | ||||
\(640\) | −0.201312 | + | 2.22699i | −0.00795756 | + | 0.0880294i | ||||
\(641\) | 10.5022 | + | 1.85183i | 0.414813 | + | 0.0731427i | 0.377160 | − | 0.926148i | \(-0.376901\pi\) |
0.0376530 | + | 0.999291i | \(0.488012\pi\) | |||||||
\(642\) | −30.0576 | − | 10.3627i | −1.18628 | − | 0.408984i | ||||
\(643\) | 11.7263 | + | 5.46807i | 0.462441 | + | 0.215640i | 0.639854 | − | 0.768497i | \(-0.278995\pi\) |
−0.177413 | + | 0.984137i | \(0.556773\pi\) | |||||||
\(644\) | 10.8524 | + | 9.10622i | 0.427643 | + | 0.358835i | ||||
\(645\) | −13.5650 | − | 3.42933i | −0.534120 | − | 0.135030i | ||||
\(646\) | 10.9398 | + | 10.4410i | 0.430421 | + | 0.410795i | ||||
\(647\) | 25.9675 | + | 25.9675i | 1.02089 | + | 1.02089i | 0.999777 | + | 0.0211120i | \(0.00672066\pi\) |
0.0211120 | + | 0.999777i | \(0.493279\pi\) | |||||||
\(648\) | 3.23836 | − | 8.39720i | 0.127215 | − | 0.329873i | ||||
\(649\) | −4.77314 | − | 13.1141i | −0.187362 | − | 0.514774i | ||||
\(650\) | −10.3456 | − | 12.4749i | −0.405789 | − | 0.489307i | ||||
\(651\) | 5.82075 | + | 55.5884i | 0.228133 | + | 2.17868i | ||||
\(652\) | −5.31651 | + | 2.47913i | −0.208211 | + | 0.0970902i | ||||
\(653\) | 36.1629 | + | 9.68983i | 1.41517 | + | 0.379192i | 0.883766 | − | 0.467929i | \(-0.155000\pi\) |
0.531399 | + | 0.847122i | \(0.321666\pi\) | |||||||
\(654\) | −0.565313 | + | 2.26360i | −0.0221055 | + | 0.0885137i | ||||
\(655\) | −18.3178 | + | 3.17546i | −0.715735 | + | 0.124075i | ||||
\(656\) | −2.41805 | − | 2.88172i | −0.0944090 | − | 0.112512i | ||||
\(657\) | 15.9973 | + | 14.9410i | 0.624115 | + | 0.582904i | ||||
\(658\) | −5.16701 | + | 19.2836i | −0.201431 | + | 0.751751i | ||||
\(659\) | −11.4918 | − | 4.18266i | −0.447655 | − | 0.162933i | 0.108349 | − | 0.994113i | \(-0.465444\pi\) |
−0.556004 | + | 0.831180i | \(0.687666\pi\) | |||||||
\(660\) | −2.05628 | − | 5.40966i | −0.0800407 | − | 0.210571i | ||||
\(661\) | 8.02889 | + | 45.5341i | 0.312287 | + | 1.77107i | 0.587043 | + | 0.809556i | \(0.300292\pi\) |
−0.274755 | + | 0.961514i | \(0.588597\pi\) | |||||||
\(662\) | 7.44221 | + | 3.47036i | 0.289250 | + | 0.134879i | ||||
\(663\) | −18.1866 | + | 6.97306i | −0.706308 | + | 0.270811i | ||||
\(664\) | − | 12.7846i | − | 0.496139i | ||||||
\(665\) | −11.4423 | + | 33.5562i | −0.443714 | + | 1.30125i | ||||
\(666\) | 11.5745 | + | 18.5551i | 0.448503 | + | 0.718997i | ||||
\(667\) | 18.1175 | − | 1.58508i | 0.701513 | − | 0.0613744i | ||||
\(668\) | 7.21416 | − | 15.4708i | 0.279124 | − | 0.598583i | ||||
\(669\) | 22.6502 | − | 11.0363i | 0.875707 | − | 0.426690i | ||||
\(670\) | 1.88635 | + | 1.59213i | 0.0728759 | + | 0.0615093i | ||||
\(671\) | 0.0125399 | − | 0.0344531i | 0.000484098 | − | 0.00133005i | ||||
\(672\) | 0.107508 | + | 6.29933i | 0.00414720 | + | 0.243002i | ||||
\(673\) | 15.7990 | − | 4.23333i | 0.609007 | − | 0.163183i | 0.0588815 | − | 0.998265i | \(-0.481247\pi\) |
0.550125 | + | 0.835082i | \(0.314580\pi\) | |||||||
\(674\) | −7.68270 | + | 6.44655i | −0.295926 | + | 0.248312i | ||||
\(675\) | 7.76817 | − | 24.7922i | 0.298997 | − | 0.954254i | ||||
\(676\) | −1.24689 | + | 2.15967i | −0.0479572 | + | 0.0830644i | ||||
\(677\) | 2.88761 | − | 10.7767i | 0.110980 | − | 0.414183i | −0.887975 | − | 0.459892i | \(-0.847888\pi\) |
0.998955 | + | 0.0457090i | \(0.0145547\pi\) | |||||||
\(678\) | −13.6223 | − | 15.6830i | −0.523161 | − | 0.602301i | ||||
\(679\) | 5.63647 | + | 0.993862i | 0.216308 | + | 0.0381409i | ||||
\(680\) | 7.28221 | + | 2.67432i | 0.279260 | + | 0.102556i | ||||
\(681\) | −0.868823 | − | 1.19681i | −0.0332934 | − | 0.0458619i | ||||
\(682\) | −13.2059 | + | 1.15537i | −0.505681 | + | 0.0442413i | ||||
\(683\) | 12.7588 | − | 12.7588i | 0.488200 | − | 0.488200i | −0.419538 | − | 0.907738i | \(-0.637808\pi\) |
0.907738 | + | 0.419538i | \(0.137808\pi\) | |||||||
\(684\) | −6.19789 | − | 11.5146i | −0.236982 | − | 0.440272i | ||||
\(685\) | 38.1910 | − | 10.1152i | 1.45920 | − | 0.386484i | ||||
\(686\) | −1.79795 | + | 2.14271i | −0.0686459 | + | 0.0818090i | ||||
\(687\) | −5.14748 | + | 32.4184i | −0.196388 | + | 1.23684i | ||||
\(688\) | −2.07213 | + | 2.95931i | −0.0789992 | + | 0.112823i | ||||
\(689\) | −5.76445 | + | 32.6918i | −0.219608 | + | 1.24546i | ||||
\(690\) | −14.8163 | + | 2.82970i | −0.564047 | + | 0.107725i | ||||
\(691\) | −16.0099 | − | 27.7300i | −0.609047 | − | 1.05490i | −0.991398 | − | 0.130883i | \(-0.958219\pi\) |
0.382351 | − | 0.924017i | \(-0.375114\pi\) | |||||||
\(692\) | 10.6673 | − | 2.85830i | 0.405511 | − | 0.108656i | ||||
\(693\) | −7.39148 | − | 14.5345i | −0.280779 | − | 0.552120i | ||||
\(694\) | 4.92011 | + | 5.86356i | 0.186765 | + | 0.222578i | ||||
\(695\) | 3.82735 | − | 2.19502i | 0.145180 | − | 0.0832619i | ||||
\(696\) | 5.81584 | + | 5.62066i | 0.220449 | + | 0.213051i | ||||
\(697\) | −11.8283 | + | 5.51565i | −0.448030 | + | 0.208920i | ||||
\(698\) | −8.57706 | − | 12.2493i | −0.324647 | − | 0.463643i | ||||
\(699\) | −9.90360 | − | 20.3254i | −0.374588 | − | 0.768778i | ||||
\(700\) | 1.48055 | + | 18.1269i | 0.0559596 | + | 0.685131i | ||||
\(701\) | −3.77595 | + | 4.50000i | −0.142616 | + | 0.169963i | −0.832624 | − | 0.553839i | \(-0.813162\pi\) |
0.690008 | + | 0.723801i | \(0.257607\pi\) | |||||||
\(702\) | 16.8204 | − | 0.861868i | 0.634844 | − | 0.0325291i | ||||
\(703\) | 31.4127 | + | 4.78635i | 1.18475 | + | 0.180521i | ||||
\(704\) | −1.49427 | −0.0563175 | ||||||||
\(705\) | −12.4379 | − | 17.2377i | −0.468439 | − | 0.649209i | ||||
\(706\) | −15.2264 | + | 5.54195i | −0.573052 | + | 0.208574i | ||||
\(707\) | 13.0497 | − | 18.6369i | 0.490785 | − | 0.700914i | ||||
\(708\) | −12.5675 | − | 10.1851i | −0.472316 | − | 0.382778i | ||||
\(709\) | 0.738072 | − | 2.02784i | 0.0277189 | − | 0.0761570i | −0.925061 | − | 0.379818i | \(-0.875987\pi\) |
0.952780 | + | 0.303661i | \(0.0982089\pi\) | |||||||
\(710\) | 9.65142 | − | 9.59589i | 0.362211 | − | 0.360127i | ||||
\(711\) | 1.49682 | + | 43.8397i | 0.0561352 | + | 1.64412i | ||||
\(712\) | 0.899505 | − | 10.2814i | 0.0337104 | − | 0.385311i | ||||
\(713\) | −3.01137 | + | 34.4201i | −0.112777 | + | 1.28904i | ||||
\(714\) | 21.2065 | + | 5.29613i | 0.793634 | + | 0.198203i | ||||
\(715\) | 7.68020 | − | 7.63601i | 0.287223 | − | 0.285570i | ||||
\(716\) | −1.33431 | + | 3.66598i | −0.0498654 | + | 0.137004i | ||||
\(717\) | 12.1319 | − | 14.9698i | 0.453075 | − | 0.559057i | ||||
\(718\) | −2.39948 | + | 3.42681i | −0.0895478 | + | 0.127888i | ||||
\(719\) | −39.0482 | + | 14.2124i | −1.45625 | + | 0.530033i | −0.944331 | − | 0.328998i | \(-0.893289\pi\) |
−0.511923 | + | 0.859031i | \(0.671067\pi\) | |||||||
\(720\) | −5.27098 | − | 4.14931i | −0.196438 | − | 0.154636i | ||||
\(721\) | 63.9075 | 2.38004 | ||||||||
\(722\) | −18.5620 | − | 4.05634i | −0.690804 | − | 0.150961i | ||||
\(723\) | 29.8714 | + | 16.5732i | 1.11093 | + | 0.616363i | ||||
\(724\) | −6.02200 | + | 7.17674i | −0.223806 | + | 0.266722i | ||||
\(725\) | 17.7988 | + | 15.1108i | 0.661029 | + | 0.561201i | ||||
\(726\) | −13.6509 | + | 6.65143i | −0.506633 | + | 0.246858i | ||||
\(727\) | −18.8063 | − | 26.8582i | −0.697487 | − | 0.996115i | −0.999089 | − | 0.0426811i | \(-0.986410\pi\) |
0.301601 | − | 0.953434i | \(-0.402479\pi\) | |||||||
\(728\) | −10.6855 | + | 4.98274i | −0.396032 | + | 0.184673i | ||||
\(729\) | 15.8193 | + | 21.8804i | 0.585898 | + | 0.810385i | ||||
\(730\) | 14.1531 | − | 8.11692i | 0.523828 | − | 0.300421i | ||||
\(731\) | 8.05644 | + | 9.60130i | 0.297978 | + | 0.355117i | ||||
\(732\) | −0.00809290 | − | 0.0417208i | −0.000299122 | − | 0.00154205i | ||||
\(733\) | −8.79037 | + | 2.35537i | −0.324680 | + | 0.0869976i | −0.417477 | − | 0.908687i | \(-0.637086\pi\) |
0.0927977 | + | 0.995685i | \(0.470419\pi\) | |||||||
\(734\) | 13.9854 | + | 24.2234i | 0.516210 | + | 0.894103i | ||||
\(735\) | 4.52716 | + | 23.7042i | 0.166987 | + | 0.874343i | ||||
\(736\) | −0.676307 | + | 3.83553i | −0.0249290 | + | 0.141379i | ||||
\(737\) | −0.946145 | + | 1.35123i | −0.0348517 | + | 0.0497734i | ||||
\(738\) | 11.2024 | − | 1.36665i | 0.412366 | − | 0.0503071i | ||||
\(739\) | −19.4734 | + | 23.2075i | −0.716339 | + | 0.853700i | −0.994270 | − | 0.106901i | \(-0.965907\pi\) |
0.277930 | + | 0.960601i | \(0.410352\pi\) | |||||||
\(740\) | 15.7570 | − | 4.17340i | 0.579240 | − | 0.153417i | ||||
\(741\) | 14.9602 | − | 19.3661i | 0.549576 | − | 0.711433i | ||||
\(742\) | 26.3419 | − | 26.3419i | 0.967040 | − | 0.967040i | ||||
\(743\) | 1.32557 | − | 0.115972i | 0.0486304 | − | 0.00425461i | −0.0628146 | − | 0.998025i | \(-0.520008\pi\) |
0.111445 | + | 0.993771i | \(0.464452\pi\) | |||||||
\(744\) | −12.4347 | + | 9.02696i | −0.455878 | + | 0.330945i | ||||
\(745\) | −5.79792 | − | 2.12923i | −0.212419 | − | 0.0780091i | ||||
\(746\) | 13.7658 | + | 2.42728i | 0.504002 | + | 0.0888692i | ||||
\(747\) | 32.1500 | + | 20.9140i | 1.17631 | + | 0.765202i | ||||
\(748\) | −1.34176 | + | 5.00753i | −0.0490597 | + | 0.183093i | ||||
\(749\) | −33.3848 | + | 57.8241i | −1.21985 | + | 2.11285i | ||||
\(750\) | −15.9557 | − | 10.9735i | −0.582618 | − | 0.400694i | ||||
\(751\) | 12.9584 | − | 10.8734i | 0.472859 | − | 0.396776i | −0.374977 | − | 0.927034i | \(-0.622350\pi\) |
0.847836 | + | 0.530258i | \(0.177905\pi\) | |||||||
\(752\) | −5.30140 | + | 1.42050i | −0.193322 | + | 0.0518005i | ||||
\(753\) | −13.8258 | + | 0.235959i | −0.503839 | + | 0.00859881i | ||||
\(754\) | −5.17673 | + | 14.2230i | −0.188526 | + | 0.517970i | ||||
\(755\) | −21.3038 | − | 17.9810i | −0.775324 | − | 0.654395i | ||||
\(756\) | −16.0170 | − | 10.0345i | −0.582534 | − | 0.364952i | ||||
\(757\) | −11.8569 | + | 25.4272i | −0.430946 | + | 0.924167i | 0.564189 | + | 0.825646i | \(0.309189\pi\) |
−0.995135 | + | 0.0985214i | \(0.968589\pi\) | |||||||
\(758\) | 18.0550 | − | 1.57961i | 0.655788 | − | 0.0573740i | ||||
\(759\) | −2.77468 | − | 9.69067i | −0.100715 | − | 0.351749i | ||||
\(760\) | −9.56212 | + | 1.88835i | −0.346855 | + | 0.0684977i | ||||
\(761\) | 8.72796i | 0.316388i | 0.987408 | + | 0.158194i | \(0.0505672\pi\) | ||||
−0.987408 | + | 0.158194i | \(0.949433\pi\) | |||||||
\(762\) | 3.67034 | + | 9.57267i | 0.132962 | + | 0.346781i | ||||
\(763\) | 4.44068 | + | 2.07072i | 0.160763 | + | 0.0749652i | ||||
\(764\) | −2.68292 | − | 15.2156i | −0.0970645 | − | 0.550480i | ||||
\(765\) | −18.6380 | + | 13.9380i | −0.673858 | + | 0.503930i | ||||
\(766\) | 32.0580 | + | 11.6681i | 1.15830 | + | 0.421587i | ||||
\(767\) | 7.83507 | − | 29.2409i | 0.282908 | − | 1.05583i | ||||
\(768\) | −1.48500 | + | 0.891495i | −0.0535855 | + | 0.0321691i | ||||
\(769\) | −9.75727 | − | 11.6283i | −0.351856 | − | 0.419326i | 0.560866 | − | 0.827907i | \(-0.310468\pi\) |
−0.912722 | + | 0.408581i | \(0.866024\pi\) | |||||||
\(770\) | −11.9752 | + | 2.07594i | −0.431555 | + | 0.0748117i | ||||
\(771\) | −43.2783 | − | 10.8084i | −1.55863 | − | 0.389254i | ||||
\(772\) | −16.5704 | − | 4.44003i | −0.596382 | − | 0.159800i | ||||
\(773\) | −6.95175 | + | 3.24165i | −0.250037 | + | 0.116594i | −0.543597 | − | 0.839347i | \(-0.682938\pi\) |
0.293560 | + | 0.955941i | \(0.405160\pi\) | |||||||
\(774\) | −4.05216 | − | 10.0519i | −0.145652 | − | 0.361309i | ||||
\(775\) | −34.1436 | + | 28.3158i | −1.22647 | + | 1.01713i | ||||
\(776\) | 0.538159 | + | 1.47858i | 0.0193188 | + | 0.0530779i | ||||
\(777\) | 42.8830 | − | 16.4422i | 1.53842 | − | 0.589859i | ||||
\(778\) | 18.8246 | + | 18.8246i | 0.674895 | + | 0.674895i | ||||
\(779\) | 9.08932 | − | 13.6477i | 0.325659 | − | 0.488978i | ||||
\(780\) | 3.07685 | − | 12.1707i | 0.110169 | − | 0.435782i | ||||
\(781\) | 6.96715 | + | 5.84613i | 0.249304 | + | 0.209191i | ||||
\(782\) | 12.2462 | + | 5.71047i | 0.437921 | + | 0.204206i | ||||
\(783\) | −23.6485 | + | 5.43067i | −0.845128 | + | 0.194076i | ||||
\(784\) | 6.13636 | + | 1.08201i | 0.219156 | + | 0.0386431i | ||||
\(785\) | 4.51656 | − | 49.9638i | 0.161203 | − | 1.78329i | ||||
\(786\) | −10.3550 | − | 10.0075i | −0.369350 | − | 0.356954i | ||||
\(787\) | 10.4875 | + | 39.1397i | 0.373837 | + | 1.39518i | 0.855036 | + | 0.518569i | \(0.173535\pi\) |
−0.481199 | + | 0.876612i | \(0.659798\pi\) | |||||||
\(788\) | 0.961993 | − | 10.9956i | 0.0342696 | − | 0.391703i | ||||
\(789\) | 25.8516 | − | 38.2945i | 0.920341 | − | 1.36332i | ||||
\(790\) | 31.5566 | + | 8.55322i | 1.12273 | + | 0.304310i | ||||
\(791\) | −37.7806 | + | 21.8126i | −1.34332 | + | 0.775568i | ||||
\(792\) | 2.44444 | − | 3.75771i | 0.0868593 | − | 0.133524i | ||||
\(793\) | 0.0651480 | − | 0.0456171i | 0.00231347 | − | 0.00161991i | ||||
\(794\) | 3.05619 | + | 17.3325i | 0.108460 | + | 0.615108i | ||||
\(795\) | 4.01699 | + | 39.4613i | 0.142468 | + | 1.39955i | ||||
\(796\) | 0.543356 | + | 0.455930i | 0.0192587 | + | 0.0161600i | ||||
\(797\) | 17.2179 | + | 17.2179i | 0.609889 | + | 0.609889i | 0.942917 | − | 0.333028i | \(-0.108070\pi\) |
−0.333028 | + | 0.942917i | \(0.608070\pi\) | |||||||
\(798\) | −26.2177 | + | 8.17305i | −0.928098 | + | 0.289323i | ||||
\(799\) | 19.0413i | 0.673633i | ||||||||
\(800\) | −4.11224 | + | 2.84420i | −0.145390 | + | 0.100558i | ||||
\(801\) | 24.3836 | + | 19.0811i | 0.861551 | + | 0.674196i | ||||
\(802\) | −9.79273 | − | 6.85694i | −0.345793 | − | 0.242127i | ||||
\(803\) | 6.25367 | + | 8.93116i | 0.220687 | + | 0.315174i | ||||
\(804\) | −0.134118 | + | 1.90733i | −0.00472998 | + | 0.0672664i | ||||
\(805\) | −0.0913934 | + | 31.6777i | −0.00322119 | + | 1.11649i | ||||
\(806\) | −24.9028 | − | 14.3777i | −0.877165 | − | 0.506431i | ||||
\(807\) | 53.9936 | − | 10.4735i | 1.90067 | − | 0.368686i | ||||
\(808\) | 6.23099 | + | 0.545141i | 0.219206 | + | 0.0191780i | ||||
\(809\) | 6.34640 | − | 10.9923i | 0.223128 | − | 0.386468i | −0.732628 | − | 0.680629i | \(-0.761707\pi\) |
0.955756 | + | 0.294160i | \(0.0950400\pi\) | |||||||
\(810\) | 19.0571 | − | 6.46741i | 0.669598 | − | 0.227242i | ||||
\(811\) | 11.8101 | + | 4.29852i | 0.414708 | + | 0.150941i | 0.540944 | − | 0.841059i | \(-0.318067\pi\) |
−0.126235 | + | 0.992000i | \(0.540289\pi\) | |||||||
\(812\) | 13.9137 | − | 9.74247i | 0.488275 | − | 0.341894i | ||||
\(813\) | −0.326998 | + | 0.948474i | −0.0114683 | + | 0.0332644i | ||||
\(814\) | 3.72557 | + | 10.2359i | 0.130581 | + | 0.358769i | ||||
\(815\) | −11.8720 | − | 5.57778i | −0.415859 | − | 0.195381i | ||||
\(816\) | 1.65409 | + | 5.77698i | 0.0579049 | + | 0.202235i | ||||
\(817\) | −14.9191 | − | 5.03925i | −0.521953 | − | 0.176301i | ||||
\(818\) | −3.70833 | + | 3.70833i | −0.129659 | + | 0.129659i | ||||
\(819\) | 4.94983 | − | 35.0225i | 0.172961 | − | 1.22378i | ||||
\(820\) | 1.48457 | − | 8.27964i | 0.0518433 | − | 0.289138i | ||||
\(821\) | −46.3083 | + | 8.16541i | −1.61617 | + | 0.284975i | −0.907339 | − | 0.420401i | \(-0.861889\pi\) |
−0.708834 | + | 0.705376i | \(0.750778\pi\) | |||||||
\(822\) | 23.7752 | + | 19.2681i | 0.829257 | + | 0.672053i | ||||
\(823\) | 11.0484 | + | 23.6933i | 0.385122 | + | 0.825898i | 0.999325 | + | 0.0367489i | \(0.0117002\pi\) |
−0.614202 | + | 0.789149i | \(0.710522\pi\) | |||||||
\(824\) | 8.78466 | + | 15.2155i | 0.306028 | + | 0.530057i | ||||
\(825\) | 6.34340 | − | 11.2794i | 0.220849 | − | 0.392698i | ||||
\(826\) | −26.0240 | + | 21.8367i | −0.905490 | + | 0.759796i | ||||
\(827\) | 6.74600 | + | 0.590198i | 0.234581 | + | 0.0205232i | 0.203840 | − | 0.979004i | \(-0.434658\pi\) |
0.0307411 | + | 0.999527i | \(0.490213\pi\) | |||||||
\(828\) | −8.53901 | − | 7.97517i | −0.296751 | − | 0.277156i | ||||
\(829\) | 18.3426 | − | 10.5901i | 0.637065 | − | 0.367809i | −0.146418 | − | 0.989223i | \(-0.546775\pi\) |
0.783483 | + | 0.621413i | \(0.213441\pi\) | |||||||
\(830\) | 21.9520 | − | 18.3123i | 0.761966 | − | 0.635628i | ||||
\(831\) | −5.82463 | − | 55.6254i | −0.202054 | − | 1.92963i | ||||
\(832\) | −2.65514 | − | 1.85915i | −0.0920505 | − | 0.0644545i | ||||
\(833\) | 9.13604 | − | 19.5923i | 0.316545 | − | 0.678833i | ||||
\(834\) | 3.12160 | + | 1.39128i | 0.108092 | + | 0.0481760i | ||||
\(835\) | 36.8977 | − | 9.77271i | 1.27690 | − | 0.338199i | ||||
\(836\) | −1.83207 | − | 6.25041i | −0.0633634 | − | 0.216175i | ||||
\(837\) | −2.35891 | − | 46.0370i | −0.0815360 | − | 1.59127i | ||||
\(838\) | 0.966237 | + | 11.0441i | 0.0333781 | + | 0.381513i | ||||
\(839\) | 34.6238 | − | 12.6020i | 1.19535 | − | 0.435071i | 0.333749 | − | 0.942662i | \(-0.391686\pi\) |
0.861598 | + | 0.507591i | \(0.169464\pi\) | |||||||
\(840\) | −10.6624 | + | 9.20756i | −0.367887 | + | 0.317691i | ||||
\(841\) | −1.24935 | + | 7.08542i | −0.0430810 | + | 0.244325i | ||||
\(842\) | −3.26346 | − | 6.99851i | −0.112466 | − | 0.241185i | ||||
\(843\) | −3.55219 | + | 0.0606236i | −0.122344 | + | 0.00208799i | ||||
\(844\) | −2.77596 | − | 1.60270i | −0.0955526 | − | 0.0551673i | ||||
\(845\) | −5.49431 | + | 0.952459i | −0.189010 | + | 0.0327656i | ||||
\(846\) | 5.10020 | − | 15.6554i | 0.175348 | − | 0.538244i | ||||
\(847\) | 8.25375 | + | 30.8034i | 0.283602 | + | 1.05842i | ||||
\(848\) | 9.89256 | + | 2.65070i | 0.339712 | + | 0.0910255i | ||||
\(849\) | 0.504963 | − | 7.18123i | 0.0173303 | − | 0.246459i | ||||
\(850\) | 5.83881 | + | 16.3347i | 0.200270 | + | 0.560274i | ||||
\(851\) | 27.9600 | − | 4.93010i | 0.958456 | − | 0.169002i | ||||
\(852\) | 10.4118 | + | 1.65321i | 0.356702 | + | 0.0566381i | ||||
\(853\) | −3.49514 | − | 39.9496i | −0.119671 | − | 1.36785i | −0.784164 | − | 0.620554i | \(-0.786908\pi\) |
0.664492 | − | 0.747295i | \(-0.268648\pi\) | |||||||
\(854\) | −0.0892503 | −0.00305408 | ||||||||
\(855\) | 10.8937 | − | 27.1354i | 0.372556 | − | 0.928010i | ||||
\(856\) | −18.3562 | −0.627401 | ||||||||
\(857\) | −0.0861037 | − | 0.984170i | −0.00294125 | − | 0.0336186i | 0.994582 | − | 0.103953i | \(-0.0331490\pi\) |
−0.997523 | + | 0.0703340i | \(0.977593\pi\) | |||||||
\(858\) | 8.28527 | + | 1.31556i | 0.282855 | + | 0.0449124i | ||||
\(859\) | −50.0294 | + | 8.82154i | −1.70698 | + | 0.300987i | −0.940125 | − | 0.340830i | \(-0.889292\pi\) |
−0.766858 | + | 0.641817i | \(0.778181\pi\) | |||||||
\(860\) | −8.04938 | + | 0.680835i | −0.274482 | + | 0.0232163i | ||||
\(861\) | 1.66244 | − | 23.6420i | 0.0566557 | − | 0.805717i | ||||
\(862\) | −4.70268 | − | 1.26008i | −0.160174 | − | 0.0429185i | ||||
\(863\) | −12.5118 | − | 46.6948i | −0.425908 | − | 1.58951i | −0.761932 | − | 0.647657i | \(-0.775749\pi\) |
0.336023 | − | 0.941854i | \(-0.390918\pi\) | |||||||
\(864\) | 0.187394 | − | 5.19277i | 0.00637526 | − | 0.176662i | ||||
\(865\) | 20.1874 | + | 14.2224i | 0.686393 | + | 0.483575i | ||||
\(866\) | −11.1890 | − | 6.45998i | −0.380218 | − | 0.219519i | ||||
\(867\) | −8.59577 | + | 0.146700i | −0.291928 | + | 0.00498220i | ||||
\(868\) | 13.6377 | + | 29.2460i | 0.462892 | + | 0.992675i | ||||
\(869\) | −3.79401 | + | 21.5169i | −0.128703 | + | 0.729912i | ||||
\(870\) | −1.32062 | + | 18.0370i | −0.0447732 | + | 0.611513i | ||||
\(871\) | −3.36237 | + | 1.22380i | −0.113930 | + | 0.0414670i | ||||
\(872\) | 0.117401 | + | 1.34190i | 0.00397571 | + | 0.0454426i | ||||
\(873\) | −4.59861 | − | 1.06544i | −0.155639 | − | 0.0360595i | ||||
\(874\) | −16.8729 | + | 1.87366i | −0.570734 | + | 0.0633773i | ||||
\(875\) | −29.0044 | + | 28.5066i | −0.980526 | + | 0.963698i | ||||
\(876\) | 11.5433 | + | 5.14477i | 0.390011 | + | 0.173826i | ||||
\(877\) | −15.5021 | + | 33.2444i | −0.523470 | + | 1.12258i | 0.449845 | + | 0.893107i | \(0.351479\pi\) |
−0.973314 | + | 0.229477i | \(0.926298\pi\) | |||||||
\(878\) | 32.3826 | + | 22.6745i | 1.09286 | + | 0.765228i | ||||
\(879\) | 4.41609 | + | 42.1738i | 0.148951 | + | 1.42249i | ||||
\(880\) | −2.14035 | − | 2.56577i | −0.0721511 | − | 0.0864919i | ||||
\(881\) | −5.58351 | + | 3.22364i | −0.188113 | + | 0.108607i | −0.591099 | − | 0.806599i | \(-0.701306\pi\) |
0.402986 | + | 0.915206i | \(0.367972\pi\) | |||||||
\(882\) | −12.7593 | + | 13.6613i | −0.429627 | + | 0.460001i | ||||
\(883\) | 30.6494 | + | 2.68147i | 1.03143 | + | 0.0902387i | 0.590284 | − | 0.807195i | \(-0.299016\pi\) |
0.441149 | + | 0.897434i | \(0.354571\pi\) | |||||||
\(884\) | −8.61445 | + | 7.22838i | −0.289735 | + | 0.243117i | ||||
\(885\) | −0.512890 | − | 36.1680i | −0.0172406 | − | 1.21578i | ||||
\(886\) | −0.240131 | − | 0.415919i | −0.00806736 | − | 0.0139731i | ||||
\(887\) | 1.18999 | + | 2.55195i | 0.0399561 | + | 0.0856861i | 0.925273 | − | 0.379303i | \(-0.123836\pi\) |
−0.885317 | + | 0.464989i | \(0.846058\pi\) | |||||||
\(888\) | 9.80931 | + | 7.94973i | 0.329179 | + | 0.266776i | ||||
\(889\) | 21.2033 | − | 3.73872i | 0.711137 | − | 0.125393i | ||||
\(890\) | 18.9423 | − | 13.1822i | 0.634946 | − | 0.441869i | ||||
\(891\) | 5.45088 | + | 12.2943i | 0.182611 | + | 0.411873i | ||||
\(892\) | 10.2862 | − | 10.2862i | 0.344406 | − | 0.344406i | ||||
\(893\) | −12.4417 | − | 20.4337i | −0.416345 | − | 0.683787i | ||||
\(894\) | −1.31695 | − | 4.59949i | −0.0440454 | − | 0.153830i | ||||
\(895\) | −8.20595 | + | 2.95994i | −0.274295 | + | 0.0989399i | ||||
\(896\) | 1.24408 | + | 3.41808i | 0.0415618 | + | 0.114190i | ||||
\(897\) | 7.12671 | − | 20.6714i | 0.237954 | − | 0.690197i | ||||
\(898\) | 5.94148 | − | 4.16027i | 0.198270 | − | 0.138830i | ||||
\(899\) | 38.9279 | + | 14.1686i | 1.29832 | + | 0.472550i | ||||
\(900\) | −0.425337 | − | 14.9940i | −0.0141779 | − | 0.499799i | ||||
\(901\) | 17.7658 | − | 30.7713i | 0.591865 | − | 1.02514i | ||||
\(902\) | 5.59979 | + | 0.489918i | 0.186453 | + | 0.0163125i | ||||
\(903\) | −22.3441 | + | 4.33424i | −0.743564 | + | 0.144235i | ||||
\(904\) | −10.3866 | − | 5.99668i | −0.345452 | − | 0.199447i | ||||
\(905\) | −20.9487 | − | 0.0604391i | −0.696358 | − | 0.00200906i | ||||
\(906\) | 1.51469 | − | 21.5408i | 0.0503221 | − | 0.715645i | ||||
\(907\) | 27.2763 | + | 38.9545i | 0.905693 | + | 1.29346i | 0.955587 | + | 0.294709i | \(0.0952228\pi\) |
−0.0498938 | + | 0.998755i | \(0.515888\pi\) | |||||||
\(908\) | −0.699438 | − | 0.489751i | −0.0232117 | − | 0.0162530i | ||||
\(909\) | −11.5640 | + | 14.7776i | −0.383553 | + | 0.490141i | ||||
\(910\) | −23.8613 | − | 11.2106i | −0.790995 | − | 0.371629i | ||||
\(911\) | 37.9378i | 1.25693i | 0.777836 | + | 0.628467i | \(0.216317\pi\) | ||||
−0.777836 | + | 0.628467i | \(0.783683\pi\) | |||||||
\(912\) | −5.54975 | − | 5.11862i | −0.183771 | − | 0.169494i | ||||
\(913\) | 13.5083 | + | 13.5083i | 0.447061 | + | 0.447061i | ||||
\(914\) | −15.8140 | − | 13.2695i | −0.523080 | − | 0.438916i | ||||
\(915\) | 0.0600455 | − | 0.0736557i | 0.00198504 | − | 0.00243498i | ||||
\(916\) | 3.29085 | + | 18.6633i | 0.108733 | + | 0.616654i | ||||
\(917\) | −24.7730 | + | 17.3462i | −0.818077 | + | 0.572824i | ||||
\(918\) | −17.2335 | − | 5.29077i | −0.568790 | − | 0.174622i | ||||
\(919\) | −22.1029 | + | 12.7611i | −0.729107 | + | 0.420950i | −0.818095 | − | 0.575083i | \(-0.804970\pi\) |
0.0889886 | + | 0.996033i | \(0.471637\pi\) | |||||||
\(920\) | −7.55458 | + | 4.33263i | −0.249067 | + | 0.142842i | ||||
\(921\) | −27.0958 | + | 40.1375i | −0.892836 | + | 1.32258i | ||||
\(922\) | 0.847987 | − | 9.69254i | 0.0279270 | − | 0.319207i | ||||
\(923\) | 5.10612 | + | 19.0563i | 0.168070 | + | 0.627246i | ||||
\(924\) | −6.76952 | − | 6.54234i | −0.222701 | − | 0.215227i | ||||
\(925\) | 29.7359 | + | 21.0780i | 0.977710 | + | 0.693042i | ||||
\(926\) | 9.85047 | + | 1.73690i | 0.323707 | + | 0.0570782i | ||||
\(927\) | −52.6336 | − | 2.79941i | −1.72871 | − | 0.0919446i | ||||
\(928\) | 4.23211 | + | 1.97346i | 0.138926 | + | 0.0647821i | ||||
\(929\) | −29.7420 | − | 24.9565i | −0.975803 | − | 0.818796i | 0.00764775 | − | 0.999971i | \(-0.497566\pi\) |
−0.983451 | + | 0.181175i | \(0.942010\pi\) | |||||||
\(930\) | −33.3110 | − | 8.42128i | −1.09231 | − | 0.276145i | ||||
\(931\) | 2.99761 | + | 26.9945i | 0.0982428 | + | 0.884708i | ||||
\(932\) | −9.23042 | − | 9.23042i | −0.302352 | − | 0.302352i | ||||
\(933\) | 55.3590 | − | 21.2257i | 1.81237 | − | 0.694897i | ||||
\(934\) | 12.9703 | + | 35.6357i | 0.424403 | + | 1.16604i | ||||
\(935\) | −10.5202 | + | 4.86873i | −0.344046 | + | 0.159225i | ||||
\(936\) | 9.01875 | − | 3.63567i | 0.294787 | − | 0.118835i | ||||
\(937\) | 13.6803 | − | 6.37923i | 0.446916 | − | 0.208400i | −0.186113 | − | 0.982528i | \(-0.559589\pi\) |
0.633029 | + | 0.774128i | \(0.281811\pi\) | |||||||
\(938\) | 3.87862 | + | 1.03927i | 0.126641 | + | 0.0339335i | ||||
\(939\) | −1.86862 | − | 0.466670i | −0.0609801 | − | 0.0152292i | ||||
\(940\) | −10.0327 | − | 7.06817i | −0.327229 | − | 0.230538i | ||||
\(941\) | 2.01753 | + | 2.40440i | 0.0657695 | + | 0.0783811i | 0.797926 | − | 0.602755i | \(-0.205931\pi\) |
−0.732157 | + | 0.681136i | \(0.761486\pi\) | |||||||
\(942\) | 33.3170 | − | 20.0012i | 1.08553 | − | 0.651676i | ||||
\(943\) | 3.79200 | − | 14.1519i | 0.123484 | − | 0.460850i | ||||
\(944\) | −8.77625 | − | 3.19429i | −0.285643 | − | 0.103965i | ||||
\(945\) | −5.71236 | − | 41.8755i | −0.185823 | − | 1.36221i | ||||
\(946\) | −0.937401 | − | 5.31627i | −0.0304775 | − | 0.172847i | ||||
\(947\) | −44.4069 | − | 20.7073i | −1.44303 | − | 0.672895i | −0.465762 | − | 0.884910i | \(-0.654220\pi\) |
−0.977267 | + | 0.212014i | \(0.931998\pi\) | |||||||
\(948\) | 9.06670 | + | 23.6470i | 0.294473 | + | 0.768019i | ||||
\(949\) | 23.6503i | 0.767722i | ||||||||
\(950\) | −16.9389 | − | 13.7140i | −0.549571 | − | 0.444940i | ||||
\(951\) | 16.1778 | + | 56.5014i | 0.524601 | + | 1.83219i | ||||
\(952\) | 12.5716 | − | 1.09987i | 0.407448 | − | 0.0356471i | ||||
\(953\) | −2.95657 | + | 6.34037i | −0.0957725 | + | 0.205385i | −0.948357 | − | 0.317204i | \(-0.897256\pi\) |
0.852585 | + | 0.522589i | \(0.175034\pi\) | |||||||
\(954\) | −22.8488 | + | 20.5410i | −0.739756 | + | 0.665040i | ||||
\(955\) | 22.2832 | − | 26.4011i | 0.721069 | − | 0.854319i | ||||
\(956\) | 3.80488 | − | 10.4538i | 0.123058 | − | 0.338100i | ||||
\(957\) | −12.0839 | + | 0.206231i | −0.390618 | + | 0.00666650i | ||||
\(958\) | 25.8257 | − | 6.91997i | 0.834389 | − | 0.223574i | ||||
\(959\) | 49.2322 | − | 41.3107i | 1.58979 | − | 1.33399i | ||||
\(960\) | −3.65783 | − | 1.27290i | −0.118056 | − | 0.0410827i | ||||
\(961\) | −23.8513 | + | 41.3117i | −0.769398 | + | 1.33264i | ||||
\(962\) | −6.11549 | + | 22.8233i | −0.197171 | + | 0.735853i | ||||
\(963\) | 30.0283 | − | 46.1610i | 0.967649 | − | 1.48752i | ||||
\(964\) | 19.4232 | + | 3.42484i | 0.625580 | + | 0.110307i | ||||
\(965\) | −16.1111 | − | 34.8123i | −0.518635 | − | 1.12065i | ||||
\(966\) | −19.8569 | + | 14.4151i | −0.638885 | + | 0.463798i | ||||
\(967\) | −40.4674 | + | 3.54044i | −1.30134 | + | 0.113853i | −0.716669 | − | 0.697414i | \(-0.754334\pi\) |
−0.584676 | + | 0.811267i | \(0.698778\pi\) | |||||||
\(968\) | −6.19931 | + | 6.19931i | −0.199253 | + | 0.199253i | ||||
\(969\) | −22.1366 | + | 14.0019i | −0.711130 | + | 0.449805i | ||||
\(970\) | −1.76798 | + | 3.04193i | −0.0567664 | + | 0.0976704i | ||||
\(971\) | 20.7326 | − | 24.7081i | 0.665340 | − | 0.792921i | −0.322802 | − | 0.946467i | \(-0.604625\pi\) |
0.988142 | + | 0.153545i | \(0.0490691\pi\) | |||||||
\(972\) | 12.7519 | + | 8.96595i | 0.409018 | + | 0.287583i | ||||
\(973\) | 4.11670 | − | 5.87926i | 0.131975 | − | 0.188480i | ||||
\(974\) | 5.11638 | − | 29.0164i | 0.163939 | − | 0.929747i | ||||
\(975\) | 25.3051 | − | 12.1498i | 0.810413 | − | 0.389105i | ||||
\(976\) | −0.0122683 | − | 0.0212493i | −0.000392698 | − | 0.000680172i | ||||
\(977\) | −3.18510 | + | 0.853445i | −0.101900 | + | 0.0273041i | −0.309409 | − | 0.950929i | \(-0.600131\pi\) |
0.207509 | + | 0.978233i | \(0.433465\pi\) | |||||||
\(978\) | −1.93483 | − | 9.97450i | −0.0618689 | − | 0.318949i | ||||
\(979\) | 9.91299 | + | 11.8138i | 0.316821 | + | 0.377572i | ||||
\(980\) | 6.93166 | + | 12.0864i | 0.221424 | + | 0.386085i | ||||
\(981\) | −3.56659 | − | 1.89995i | −0.113873 | − | 0.0606606i | ||||
\(982\) | 8.95390 | − | 4.17527i | 0.285730 | − | 0.133238i | ||||
\(983\) | 18.5218 | + | 26.4518i | 0.590753 | + | 0.843683i | 0.997559 | − | 0.0698321i | \(-0.0222463\pi\) |
−0.406806 | + | 0.913515i | \(0.633357\pi\) | |||||||
\(984\) | 5.85735 | − | 2.85400i | 0.186725 | − | 0.0909823i | ||||
\(985\) | 20.2582 | − | 14.0980i | 0.645478 | − | 0.449199i | ||||
\(986\) | 10.4135 | − | 12.4104i | 0.331635 | − | 0.395227i | ||||
\(987\) | −30.2364 | − | 16.7756i | −0.962434 | − | 0.533975i | ||||
\(988\) | 4.52130 | − | 13.3857i | 0.143842 | − | 0.425855i | ||||
\(989\) | −14.0702 | −0.447405 | ||||||||
\(990\) | 9.95357 | − | 1.18516i | 0.316345 | − | 0.0376670i | ||||
\(991\) | 38.6641 | − | 14.0726i | 1.22821 | − | 0.447030i | 0.355223 | − | 0.934782i | \(-0.384405\pi\) |
0.872983 | + | 0.487751i | \(0.162183\pi\) | |||||||
\(992\) | −5.08846 | + | 7.26707i | −0.161559 | + | 0.230730i | ||||
\(993\) | −8.95502 | + | 11.0498i | −0.284179 | + | 0.350653i | ||||
\(994\) | 7.57216 | − | 20.8044i | 0.240174 | − | 0.659874i | ||||
\(995\) | −0.00457588 | + | 1.58604i | −0.000145065 | + | 0.0502808i | ||||
\(996\) | 21.4837 | + | 5.36536i | 0.680739 | + | 0.170008i | ||||
\(997\) | −3.56687 | + | 40.7695i | −0.112964 | + | 1.29118i | 0.702211 | + | 0.711969i | \(0.252196\pi\) |
−0.815175 | + | 0.579215i | \(0.803359\pi\) | |||||||
\(998\) | −2.43719 | + | 27.8572i | −0.0771479 | + | 0.881804i | ||||
\(999\) | −36.0383 | + | 11.6631i | −1.14020 | + | 0.369005i |
(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 | 570.2.bi.a.263.22 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.263.4 | ✓ | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.377.9 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.377.26 | yes | 480 | |
19.6 | even | 9 | inner | 570.2.bi.a.443.26 | yes | 480 | |
57.44 | odd | 18 | inner | 570.2.bi.a.443.9 | yes | 480 | |
95.82 | odd | 36 | inner | 570.2.bi.a.557.4 | yes | 480 | |
285.272 | even | 36 | inner | 570.2.bi.a.557.22 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.263.4 | ✓ | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.263.22 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.377.9 | yes | 480 | 5.2 | odd | 4 | inner | |
570.2.bi.a.377.26 | yes | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.443.9 | yes | 480 | 57.44 | odd | 18 | inner | |
570.2.bi.a.443.26 | yes | 480 | 19.6 | even | 9 | inner | |
570.2.bi.a.557.4 | yes | 480 | 95.82 | odd | 36 | inner | |
570.2.bi.a.557.22 | yes | 480 | 285.272 | even | 36 | inner |