Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(19,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.12 | ||
Character | \(\chi\) | \(=\) | 336.19 |
Dual form | 336.2.bs.a.283.12 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.867553 | + | 1.11685i | −0.613453 | + | 0.789731i | ||||
\(3\) | −0.258819 | + | 0.965926i | −0.149429 | + | 0.557678i | ||||
\(4\) | −0.494702 | − | 1.93785i | −0.247351 | − | 0.968926i | ||||
\(5\) | 1.83632 | − | 0.492041i | 0.821228 | − | 0.220047i | 0.176345 | − | 0.984328i | \(-0.443573\pi\) |
0.644883 | + | 0.764281i | \(0.276906\pi\) | |||||||
\(6\) | −0.854254 | − | 1.12705i | −0.348748 | − | 0.460118i | ||||
\(7\) | −1.58583 | − | 2.11781i | −0.599389 | − | 0.800458i | ||||
\(8\) | 2.59347 | + | 1.12868i | 0.916929 | + | 0.399050i | ||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | −1.04357 | + | 2.47776i | −0.330006 | + | 0.783538i | ||||
\(11\) | 0.978501 | − | 3.65181i | 0.295029 | − | 1.10106i | −0.646165 | − | 0.763198i | \(-0.723628\pi\) |
0.941194 | − | 0.337866i | \(-0.109705\pi\) | |||||||
\(12\) | 1.99986 | + | 0.0237076i | 0.577310 | + | 0.00684380i | ||||
\(13\) | 3.02000 | − | 3.02000i | 0.837599 | − | 0.837599i | −0.150944 | − | 0.988542i | \(-0.548231\pi\) |
0.988542 | + | 0.150944i | \(0.0482312\pi\) | |||||||
\(14\) | 3.74107 | + | 0.0661788i | 0.999844 | + | 0.0176870i | ||||
\(15\) | 1.90110i | 0.490862i | ||||||||
\(16\) | −3.51054 | + | 1.91732i | −0.877635 | + | 0.479330i | ||||
\(17\) | 2.32244 | − | 1.34086i | 0.563275 | − | 0.325207i | −0.191184 | − | 0.981554i | \(-0.561233\pi\) |
0.754459 | + | 0.656347i | \(0.227899\pi\) | |||||||
\(18\) | 1.30975 | − | 0.533443i | 0.308710 | − | 0.125734i | ||||
\(19\) | −2.64736 | + | 0.709357i | −0.607345 | + | 0.162738i | −0.549368 | − | 0.835580i | \(-0.685132\pi\) |
−0.0579767 | + | 0.998318i | \(0.518465\pi\) | |||||||
\(20\) | −1.86193 | − | 3.31511i | −0.416341 | − | 0.741280i | ||||
\(21\) | 2.45609 | − | 0.983668i | 0.535964 | − | 0.214654i | ||||
\(22\) | 3.22962 | + | 4.26098i | 0.688558 | + | 0.908444i | ||||
\(23\) | 2.00507 | − | 3.47288i | 0.418085 | − | 0.724145i | −0.577661 | − | 0.816276i | \(-0.696035\pi\) |
0.995747 | + | 0.0921312i | \(0.0293679\pi\) | |||||||
\(24\) | −1.76146 | + | 2.21297i | −0.359557 | + | 0.451721i | ||||
\(25\) | −1.20015 | + | 0.692910i | −0.240031 | + | 0.138582i | ||||
\(26\) | 0.752873 | + | 5.99290i | 0.147650 | + | 1.17531i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | −3.31949 | + | 4.12080i | −0.627325 | + | 0.778758i | ||||
\(29\) | 3.59395 | + | 3.59395i | 0.667379 | + | 0.667379i | 0.957109 | − | 0.289729i | \(-0.0935653\pi\) |
−0.289729 | + | 0.957109i | \(0.593565\pi\) | |||||||
\(30\) | −2.12324 | − | 1.64931i | −0.387649 | − | 0.301121i | ||||
\(31\) | 2.17317 | + | 3.76403i | 0.390312 | + | 0.676041i | 0.992491 | − | 0.122321i | \(-0.0390337\pi\) |
−0.602178 | + | 0.798362i | \(0.705700\pi\) | |||||||
\(32\) | 0.904227 | − | 5.58412i | 0.159846 | − | 0.987142i | ||||
\(33\) | 3.27413 | + | 1.89032i | 0.569952 | + | 0.329062i | ||||
\(34\) | −0.517302 | + | 3.75708i | −0.0887165 | + | 0.644335i | ||||
\(35\) | −3.95415 | − | 3.10869i | −0.668374 | − | 0.525464i | ||||
\(36\) | −0.540502 | + | 1.92558i | −0.0900836 | + | 0.320930i | ||||
\(37\) | 1.10383 | + | 4.11953i | 0.181468 | + | 0.677247i | 0.995359 | + | 0.0962299i | \(0.0306784\pi\) |
−0.813891 | + | 0.581017i | \(0.802655\pi\) | |||||||
\(38\) | 1.50448 | − | 3.57210i | 0.244059 | − | 0.579471i | ||||
\(39\) | 2.13547 | + | 3.69874i | 0.341948 | + | 0.592272i | ||||
\(40\) | 5.31780 | + | 0.796533i | 0.840818 | + | 0.125943i | ||||
\(41\) | 8.30654 | 1.29726 | 0.648632 | − | 0.761103i | \(-0.275342\pi\) | ||||
0.648632 | + | 0.761103i | \(0.275342\pi\) | |||||||
\(42\) | −1.03218 | + | 3.59647i | −0.159270 | + | 0.554947i | ||||
\(43\) | −1.87127 | − | 1.87127i | −0.285367 | − | 0.285367i | 0.549878 | − | 0.835245i | \(-0.314674\pi\) |
−0.835245 | + | 0.549878i | \(0.814674\pi\) | |||||||
\(44\) | −7.56074 | − | 0.0896298i | −1.13982 | − | 0.0135122i | ||||
\(45\) | −1.83632 | − | 0.492041i | −0.273743 | − | 0.0733491i | ||||
\(46\) | 2.13918 | + | 5.25226i | 0.315404 | + | 0.774404i | ||||
\(47\) | −0.663881 | + | 1.14988i | −0.0968370 | + | 0.167727i | −0.910374 | − | 0.413787i | \(-0.864206\pi\) |
0.813537 | + | 0.581513i | \(0.197539\pi\) | |||||||
\(48\) | −0.943393 | − | 3.88716i | −0.136167 | − | 0.561063i | ||||
\(49\) | −1.97026 | + | 6.71700i | −0.281466 | + | 0.959571i | ||||
\(50\) | 0.267323 | − | 1.94153i | 0.0378052 | − | 0.274573i | ||||
\(51\) | 0.694081 | + | 2.59035i | 0.0971908 | + | 0.362721i | ||||
\(52\) | −7.34632 | − | 4.35832i | −1.01875 | − | 0.604390i | ||||
\(53\) | −2.15828 | − | 0.578309i | −0.296462 | − | 0.0794368i | 0.107522 | − | 0.994203i | \(-0.465708\pi\) |
−0.403984 | + | 0.914766i | \(0.632375\pi\) | |||||||
\(54\) | 0.176278 | + | 1.40318i | 0.0239884 | + | 0.190949i | ||||
\(55\) | − | 7.18737i | − | 0.969144i | ||||||
\(56\) | −1.72247 | − | 7.28238i | −0.230175 | − | 0.973149i | ||||
\(57\) | − | 2.74074i | − | 0.363020i | ||||||
\(58\) | −7.13183 | + | 0.895954i | −0.936456 | + | 0.117644i | ||||
\(59\) | −8.42110 | − | 2.25643i | −1.09633 | − | 0.293762i | −0.335063 | − | 0.942196i | \(-0.608758\pi\) |
−0.761271 | + | 0.648434i | \(0.775424\pi\) | |||||||
\(60\) | 3.68405 | − | 0.940478i | 0.475609 | − | 0.121415i | ||||
\(61\) | −3.05063 | − | 11.3851i | −0.390593 | − | 1.45771i | −0.829159 | − | 0.559013i | \(-0.811180\pi\) |
0.438566 | − | 0.898699i | \(-0.355486\pi\) | |||||||
\(62\) | −6.08920 | − | 0.838403i | −0.773329 | − | 0.106477i | ||||
\(63\) | 0.314466 | + | 2.62700i | 0.0396190 | + | 0.330970i | ||||
\(64\) | 5.45215 | + | 5.85441i | 0.681519 | + | 0.731801i | ||||
\(65\) | 4.05973 | − | 7.03167i | 0.503548 | − | 0.872171i | ||||
\(66\) | −4.95168 | + | 2.01675i | −0.609510 | + | 0.248245i | ||||
\(67\) | −8.40061 | − | 2.25094i | −1.02630 | − | 0.274996i | −0.293873 | − | 0.955844i | \(-0.594944\pi\) |
−0.732424 | + | 0.680849i | \(0.761611\pi\) | |||||||
\(68\) | −3.74731 | − | 3.83722i | −0.454428 | − | 0.465331i | ||||
\(69\) | 2.83559 | + | 2.83559i | 0.341365 | + | 0.341365i | ||||
\(70\) | 6.90237 | − | 1.71923i | 0.824991 | − | 0.205488i | ||||
\(71\) | 7.84620 | 0.931173 | 0.465587 | − | 0.885002i | \(-0.345843\pi\) | ||||
0.465587 | + | 0.885002i | \(0.345843\pi\) | |||||||
\(72\) | −1.68167 | − | 2.27420i | −0.198186 | − | 0.268017i | ||||
\(73\) | −5.43057 | − | 9.40603i | −0.635601 | − | 1.10089i | −0.986388 | − | 0.164437i | \(-0.947419\pi\) |
0.350787 | − | 0.936455i | \(-0.385914\pi\) | |||||||
\(74\) | −5.55852 | − | 2.34111i | −0.646165 | − | 0.272148i | ||||
\(75\) | −0.358676 | − | 1.33860i | −0.0414164 | − | 0.154568i | ||||
\(76\) | 2.68428 | + | 4.77926i | 0.307908 | + | 0.548219i | ||||
\(77\) | −9.28560 | + | 3.71889i | −1.05819 | + | 0.423807i | ||||
\(78\) | −5.98356 | − | 0.823859i | −0.677505 | − | 0.0932836i | ||||
\(79\) | 9.53213 | + | 5.50338i | 1.07245 | + | 0.619179i | 0.928849 | − | 0.370457i | \(-0.120799\pi\) |
0.143599 | + | 0.989636i | \(0.454132\pi\) | |||||||
\(80\) | −5.50308 | + | 5.24814i | −0.615263 | + | 0.586760i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −7.20637 | + | 9.27714i | −0.795810 | + | 1.02449i | ||||
\(83\) | 7.65588 | + | 7.65588i | 0.840342 | + | 0.840342i | 0.988903 | − | 0.148562i | \(-0.0474643\pi\) |
−0.148562 | + | 0.988903i | \(0.547464\pi\) | |||||||
\(84\) | −3.12124 | − | 4.27292i | −0.340555 | − | 0.466214i | ||||
\(85\) | 3.60499 | − | 3.60499i | 0.391016 | − | 0.391016i | ||||
\(86\) | 3.71336 | − | 0.466500i | 0.400422 | − | 0.0503040i | ||||
\(87\) | −4.40167 | + | 2.54130i | −0.471908 | + | 0.272456i | ||||
\(88\) | 6.65945 | − | 8.36645i | 0.709900 | − | 0.891866i | ||||
\(89\) | 1.48145 | − | 2.56595i | 0.157034 | − | 0.271990i | −0.776764 | − | 0.629792i | \(-0.783140\pi\) |
0.933798 | + | 0.357802i | \(0.116474\pi\) | |||||||
\(90\) | 2.14264 | − | 1.62402i | 0.225854 | − | 0.171187i | ||||
\(91\) | −11.1850 | − | 1.60658i | −1.17251 | − | 0.168415i | ||||
\(92\) | −7.72184 | − | 2.16748i | −0.805057 | − | 0.225976i | ||||
\(93\) | −4.19824 | + | 1.12491i | −0.435337 | + | 0.116648i | ||||
\(94\) | −0.708285 | − | 1.73903i | −0.0730540 | − | 0.179368i | ||||
\(95\) | −4.51236 | + | 2.60521i | −0.462959 | + | 0.267289i | ||||
\(96\) | 5.15981 | + | 2.31869i | 0.526621 | + | 0.236651i | ||||
\(97\) | − | 16.7915i | − | 1.70492i | −0.522794 | − | 0.852459i | \(-0.675110\pi\) | ||
0.522794 | − | 0.852459i | \(-0.324890\pi\) | |||||||
\(98\) | −5.79257 | − | 8.02784i | −0.585138 | − | 0.810934i | ||||
\(99\) | −2.67331 | + | 2.67331i | −0.268678 | + | 0.268678i | ||||
\(100\) | 1.93648 | + | 1.98294i | 0.193648 | + | 0.198294i | ||||
\(101\) | −3.72571 | + | 13.9045i | −0.370722 | + | 1.38355i | 0.488774 | + | 0.872410i | \(0.337444\pi\) |
−0.859496 | + | 0.511143i | \(0.829222\pi\) | |||||||
\(102\) | −3.49518 | − | 1.47208i | −0.346074 | − | 0.145758i | ||||
\(103\) | −9.15831 | − | 5.28755i | −0.902395 | − | 0.520998i | −0.0244186 | − | 0.999702i | \(-0.507773\pi\) |
−0.877976 | + | 0.478704i | \(0.841107\pi\) | |||||||
\(104\) | 11.2409 | − | 4.42366i | 1.10226 | − | 0.433775i | ||||
\(105\) | 4.02617 | − | 3.01483i | 0.392914 | − | 0.294217i | ||||
\(106\) | 2.51830 | − | 1.90876i | 0.244599 | − | 0.185395i | ||||
\(107\) | −10.3398 | + | 2.77054i | −0.999584 | + | 0.267838i | −0.721271 | − | 0.692653i | \(-0.756442\pi\) |
−0.278313 | + | 0.960490i | \(0.589775\pi\) | |||||||
\(108\) | −1.72008 | − | 1.02046i | −0.165514 | − | 0.0981939i | ||||
\(109\) | −1.97878 | + | 7.38491i | −0.189533 | + | 0.707346i | 0.804082 | + | 0.594519i | \(0.202657\pi\) |
−0.993615 | + | 0.112827i | \(0.964009\pi\) | |||||||
\(110\) | 8.02720 | + | 6.23543i | 0.765364 | + | 0.594524i | ||||
\(111\) | −4.26485 | −0.404802 | ||||||||
\(112\) | 9.62765 | + | 4.39412i | 0.909728 | + | 0.415205i | ||||
\(113\) | 19.5938 | 1.84323 | 0.921615 | − | 0.388106i | \(-0.126871\pi\) | ||||
0.921615 | + | 0.388106i | \(0.126871\pi\) | |||||||
\(114\) | 3.06100 | + | 2.37774i | 0.286689 | + | 0.222696i | ||||
\(115\) | 1.97315 | − | 7.36390i | 0.183997 | − | 0.686687i | ||||
\(116\) | 5.18660 | − | 8.74247i | 0.481564 | − | 0.811718i | ||||
\(117\) | −4.12540 | + | 1.10540i | −0.381394 | + | 0.102194i | ||||
\(118\) | 9.82584 | − | 7.44753i | 0.904542 | − | 0.685600i | ||||
\(119\) | −6.52270 | − | 2.79211i | −0.597935 | − | 0.255952i | ||||
\(120\) | −2.14574 | + | 4.93044i | −0.195878 | + | 0.450086i | ||||
\(121\) | −2.85200 | − | 1.64661i | −0.259273 | − | 0.149691i | ||||
\(122\) | 15.3620 | + | 6.47009i | 1.39081 | + | 0.585774i | ||||
\(123\) | −2.14989 | + | 8.02350i | −0.193849 | + | 0.723455i | ||||
\(124\) | 6.21907 | − | 6.07335i | 0.558489 | − | 0.545403i | ||||
\(125\) | −8.58433 | + | 8.58433i | −0.767806 | + | 0.767806i | ||||
\(126\) | −3.20677 | − | 1.92785i | −0.285682 | − | 0.171746i | ||||
\(127\) | 20.7330i | 1.83976i | 0.392205 | + | 0.919878i | \(0.371712\pi\) | ||||
−0.392205 | + | 0.919878i | \(0.628288\pi\) | |||||||
\(128\) | −11.2685 | + | 1.01022i | −0.996006 | + | 0.0892913i | ||||
\(129\) | 2.29183 | − | 1.32319i | 0.201785 | − | 0.116500i | ||||
\(130\) | 4.33127 | + | 10.6345i | 0.379878 | + | 0.932703i | ||||
\(131\) | 6.88359 | − | 1.84445i | 0.601422 | − | 0.161151i | 0.0547540 | − | 0.998500i | \(-0.482563\pi\) |
0.546668 | + | 0.837349i | \(0.315896\pi\) | |||||||
\(132\) | 2.04344 | − | 7.27992i | 0.177859 | − | 0.633635i | ||||
\(133\) | 5.70055 | + | 4.48168i | 0.494300 | + | 0.388611i | ||||
\(134\) | 9.80193 | − | 7.42940i | 0.846758 | − | 0.641802i | ||||
\(135\) | 0.950550 | − | 1.64640i | 0.0818103 | − | 0.141700i | ||||
\(136\) | 7.53658 | − | 0.856182i | 0.646257 | − | 0.0734170i | ||||
\(137\) | −16.2208 | + | 9.36507i | −1.38584 | + | 0.800112i | −0.992843 | − | 0.119429i | \(-0.961893\pi\) |
−0.392992 | + | 0.919542i | \(0.628560\pi\) | |||||||
\(138\) | −5.62696 | + | 0.706900i | −0.478998 | + | 0.0601753i | ||||
\(139\) | −5.90731 | + | 5.90731i | −0.501051 | + | 0.501051i | −0.911765 | − | 0.410713i | \(-0.865280\pi\) |
0.410713 | + | 0.911765i | \(0.365280\pi\) | |||||||
\(140\) | −4.06805 | + | 9.20043i | −0.343813 | + | 0.777579i | ||||
\(141\) | −0.938869 | − | 0.938869i | −0.0790671 | − | 0.0790671i | ||||
\(142\) | −6.80700 | + | 8.76302i | −0.571231 | + | 0.735377i | ||||
\(143\) | −8.07342 | − | 13.9836i | −0.675133 | − | 1.16937i | ||||
\(144\) | 3.99888 | + | 0.0948238i | 0.333240 | + | 0.00790198i | ||||
\(145\) | 8.36801 | + | 4.83127i | 0.694925 | + | 0.401215i | ||||
\(146\) | 15.2164 | + | 2.09510i | 1.25932 | + | 0.173392i | ||||
\(147\) | −5.97818 | − | 3.64161i | −0.493072 | − | 0.300355i | ||||
\(148\) | 7.43698 | − | 4.17699i | 0.611316 | − | 0.343347i | ||||
\(149\) | 2.78145 | + | 10.3805i | 0.227865 | + | 0.850405i | 0.981236 | + | 0.192809i | \(0.0617599\pi\) |
−0.753371 | + | 0.657596i | \(0.771573\pi\) | |||||||
\(150\) | 1.80618 | + | 0.760719i | 0.147474 | + | 0.0621124i | ||||
\(151\) | 11.4616 | + | 19.8521i | 0.932733 | + | 1.61554i | 0.778627 | + | 0.627487i | \(0.215917\pi\) |
0.154106 | + | 0.988054i | \(0.450750\pi\) | |||||||
\(152\) | −7.66647 | − | 1.14833i | −0.621833 | − | 0.0931420i | ||||
\(153\) | −2.68172 | −0.216804 | ||||||||
\(154\) | 3.90231 | − | 13.5969i | 0.314457 | − | 1.09567i | ||||
\(155\) | 5.84269 | + | 5.84269i | 0.469296 | + | 0.469296i | ||||
\(156\) | 6.11118 | − | 5.96799i | 0.489286 | − | 0.477821i | ||||
\(157\) | 12.6233 | + | 3.38240i | 1.00745 | + | 0.269945i | 0.724563 | − | 0.689208i | \(-0.242041\pi\) |
0.282886 | + | 0.959154i | \(0.408708\pi\) | |||||||
\(158\) | −14.4161 | + | 5.87147i | −1.14688 | + | 0.467109i | ||||
\(159\) | 1.11721 | − | 1.93506i | 0.0886002 | − | 0.153460i | ||||
\(160\) | −1.08716 | − | 10.6992i | −0.0859478 | − | 0.845842i | ||||
\(161\) | −10.5346 | + | 1.26105i | −0.830244 | + | 0.0993849i | ||||
\(162\) | −1.40100 | − | 0.192899i | −0.110073 | − | 0.0151556i | ||||
\(163\) | −5.04830 | − | 18.8405i | −0.395413 | − | 1.47570i | −0.821075 | − | 0.570820i | \(-0.806625\pi\) |
0.425662 | − | 0.904882i | \(-0.360041\pi\) | |||||||
\(164\) | −4.10926 | − | 16.0968i | −0.320879 | − | 1.25695i | ||||
\(165\) | 6.94246 | + | 1.86023i | 0.540470 | + | 0.144819i | ||||
\(166\) | −15.1923 | + | 1.90857i | −1.17915 | + | 0.148134i | ||||
\(167\) | 0.835151i | 0.0646260i | 0.999478 | + | 0.0323130i | \(0.0102873\pi\) | ||||
−0.999478 | + | 0.0323130i | \(0.989713\pi\) | |||||||
\(168\) | 7.48005 | + | 0.221040i | 0.577098 | + | 0.0170536i | ||||
\(169\) | − | 5.24086i | − | 0.403143i | ||||||
\(170\) | 0.898706 | + | 7.15375i | 0.0689276 | + | 0.548667i | ||||
\(171\) | 2.64736 | + | 0.709357i | 0.202448 | + | 0.0542459i | ||||
\(172\) | −2.70053 | + | 4.55197i | −0.205913 | + | 0.347085i | ||||
\(173\) | 0.110542 | + | 0.412550i | 0.00840438 | + | 0.0313656i | 0.970001 | − | 0.243102i | \(-0.0781650\pi\) |
−0.961596 | + | 0.274468i | \(0.911498\pi\) | |||||||
\(174\) | 0.980430 | − | 7.12071i | 0.0743262 | − | 0.539820i | ||||
\(175\) | 3.37070 | + | 1.44286i | 0.254801 | + | 0.109070i | ||||
\(176\) | 3.56662 | + | 14.6959i | 0.268844 | + | 1.10775i | ||||
\(177\) | 4.35908 | − | 7.55015i | 0.327649 | − | 0.567504i | ||||
\(178\) | 1.58054 | + | 3.88066i | 0.118466 | + | 0.290867i | ||||
\(179\) | 12.1389 | + | 3.25261i | 0.907306 | + | 0.243112i | 0.682151 | − | 0.731211i | \(-0.261045\pi\) |
0.225154 | + | 0.974323i | \(0.427711\pi\) | |||||||
\(180\) | −0.0450705 | + | 3.80193i | −0.00335936 | + | 0.283379i | ||||
\(181\) | −15.7574 | − | 15.7574i | −1.17124 | − | 1.17124i | −0.981914 | − | 0.189325i | \(-0.939370\pi\) |
−0.189325 | − | 0.981914i | \(-0.560630\pi\) | |||||||
\(182\) | 11.4979 | − | 11.0982i | 0.852282 | − | 0.822653i | ||||
\(183\) | 11.7867 | 0.871299 | ||||||||
\(184\) | 9.11986 | − | 6.74371i | 0.672325 | − | 0.497153i | ||||
\(185\) | 4.05396 | + | 7.02166i | 0.298053 | + | 0.516243i | ||||
\(186\) | 2.38584 | − | 5.66472i | 0.174938 | − | 0.415357i | ||||
\(187\) | −2.62407 | − | 9.79316i | −0.191891 | − | 0.716146i | ||||
\(188\) | 2.55671 | + | 0.717657i | 0.186467 | + | 0.0523405i | ||||
\(189\) | −2.61887 | − | 0.376165i | −0.190495 | − | 0.0273620i | ||||
\(190\) | 1.00509 | − | 7.29979i | 0.0729166 | − | 0.529582i | ||||
\(191\) | 20.8287 | + | 12.0254i | 1.50711 | + | 0.870129i | 0.999966 | + | 0.00826734i | \(0.00263161\pi\) |
0.507143 | + | 0.861862i | \(0.330702\pi\) | |||||||
\(192\) | −7.06604 | + | 3.75114i | −0.509948 | + | 0.270715i | ||||
\(193\) | 4.81096 | + | 8.33283i | 0.346301 | + | 0.599810i | 0.985589 | − | 0.169157i | \(-0.0541044\pi\) |
−0.639289 | + | 0.768967i | \(0.720771\pi\) | |||||||
\(194\) | 18.7536 | + | 14.5675i | 1.34643 | + | 1.04589i | ||||
\(195\) | 5.74133 | + | 5.74133i | 0.411145 | + | 0.411145i | ||||
\(196\) | 13.9912 | + | 0.495159i | 0.999374 | + | 0.0353685i | ||||
\(197\) | −12.5174 | + | 12.5174i | −0.891827 | + | 0.891827i | −0.994695 | − | 0.102868i | \(-0.967198\pi\) |
0.102868 | + | 0.994695i | \(0.467198\pi\) | |||||||
\(198\) | −0.666444 | − | 5.30493i | −0.0473621 | − | 0.377005i | ||||
\(199\) | 6.57876 | − | 3.79825i | 0.466356 | − | 0.269251i | −0.248357 | − | 0.968669i | \(-0.579891\pi\) |
0.714713 | + | 0.699418i | \(0.246557\pi\) | |||||||
\(200\) | −3.89464 | + | 0.442445i | −0.275392 | + | 0.0312856i | ||||
\(201\) | 4.34847 | − | 7.53178i | 0.306718 | − | 0.531251i | ||||
\(202\) | −12.2970 | − | 16.2240i | −0.865215 | − | 1.14152i | ||||
\(203\) | 1.91190 | − | 13.3107i | 0.134189 | − | 0.934229i | ||||
\(204\) | 4.67634 | − | 2.62648i | 0.327410 | − | 0.183890i | ||||
\(205\) | 15.2535 | − | 4.08716i | 1.06535 | − | 0.285459i | ||||
\(206\) | 13.8507 | − | 5.64121i | 0.965025 | − | 0.393042i | ||||
\(207\) | −3.47288 | + | 2.00507i | −0.241382 | + | 0.139362i | ||||
\(208\) | −4.81154 | + | 16.3922i | −0.333620 | + | 1.13659i | ||||
\(209\) | 10.3618i | 0.716738i | ||||||||
\(210\) | −0.125812 | + | 7.11215i | −0.00868189 | + | 0.490785i | ||||
\(211\) | −12.8904 | + | 12.8904i | −0.887411 | + | 0.887411i | −0.994274 | − | 0.106862i | \(-0.965920\pi\) |
0.106862 | + | 0.994274i | \(0.465920\pi\) | |||||||
\(212\) | −0.0529726 | + | 4.46851i | −0.00363817 | + | 0.306899i | ||||
\(213\) | −2.03075 | + | 7.57885i | −0.139145 | + | 0.519294i | ||||
\(214\) | 5.87604 | − | 13.9516i | 0.401678 | − | 0.953709i | ||||
\(215\) | −4.35700 | − | 2.51552i | −0.297145 | − | 0.171557i | ||||
\(216\) | 2.63196 | − | 1.03576i | 0.179082 | − | 0.0704745i | ||||
\(217\) | 4.52524 | − | 10.5715i | 0.307193 | − | 0.717640i | ||||
\(218\) | −6.53113 | − | 8.61680i | −0.442344 | − | 0.583603i | ||||
\(219\) | 10.4911 | − | 2.81107i | 0.708920 | − | 0.189955i | ||||
\(220\) | −13.9281 | + | 3.55560i | −0.939029 | + | 0.239719i | ||||
\(221\) | 2.96437 | − | 11.0632i | 0.199405 | − | 0.744191i | ||||
\(222\) | 3.69999 | − | 4.76320i | 0.248327 | − | 0.319685i | ||||
\(223\) | 12.5331 | 0.839275 | 0.419638 | − | 0.907692i | \(-0.362157\pi\) | ||||
0.419638 | + | 0.907692i | \(0.362157\pi\) | |||||||
\(224\) | −13.2601 | + | 6.94050i | −0.885976 | + | 0.463732i | ||||
\(225\) | 1.38582 | 0.0923880 | ||||||||
\(226\) | −16.9987 | + | 21.8833i | −1.13073 | + | 1.45566i | ||||
\(227\) | 5.81206 | − | 21.6909i | 0.385760 | − | 1.43968i | −0.451205 | − | 0.892420i | \(-0.649006\pi\) |
0.836965 | − | 0.547256i | \(-0.184328\pi\) | |||||||
\(228\) | −5.31116 | + | 1.35585i | −0.351740 | + | 0.0897934i | ||||
\(229\) | −10.7157 | + | 2.87127i | −0.708115 | + | 0.189739i | −0.594863 | − | 0.803827i | \(-0.702794\pi\) |
−0.113253 | + | 0.993566i | \(0.536127\pi\) | |||||||
\(230\) | 6.51255 | + | 8.59228i | 0.429425 | + | 0.566558i | ||||
\(231\) | −1.18888 | − | 9.93172i | −0.0782228 | − | 0.653459i | ||||
\(232\) | 5.26436 | + | 13.3772i | 0.345622 | + | 0.878257i | ||||
\(233\) | −9.45680 | − | 5.45989i | −0.619536 | − | 0.357689i | 0.157153 | − | 0.987574i | \(-0.449769\pi\) |
−0.776688 | + | 0.629885i | \(0.783102\pi\) | |||||||
\(234\) | 2.34445 | − | 5.56644i | 0.153261 | − | 0.363890i | ||||
\(235\) | −0.653313 | + | 2.43820i | −0.0426174 | + | 0.159050i | ||||
\(236\) | −0.206687 | + | 17.4351i | −0.0134542 | + | 1.13493i | ||||
\(237\) | −7.78295 | + | 7.78295i | −0.505557 | + | 0.505557i | ||||
\(238\) | 8.77715 | − | 4.86256i | 0.568938 | − | 0.315193i | ||||
\(239\) | − | 21.2595i | − | 1.37516i | −0.726107 | − | 0.687582i | \(-0.758672\pi\) | ||
0.726107 | − | 0.687582i | \(-0.241328\pi\) | |||||||
\(240\) | −3.64501 | − | 6.67389i | −0.235285 | − | 0.430798i | ||||
\(241\) | −18.0803 | + | 10.4387i | −1.16465 | + | 0.672413i | −0.952415 | − | 0.304804i | \(-0.901409\pi\) |
−0.212239 | + | 0.977218i | \(0.568076\pi\) | |||||||
\(242\) | 4.31328 | − | 1.75674i | 0.277268 | − | 0.112927i | ||||
\(243\) | −0.965926 | + | 0.258819i | −0.0619642 | + | 0.0166032i | ||||
\(244\) | −20.5535 | + | 11.5439i | −1.31580 | + | 0.739022i | ||||
\(245\) | −0.312992 | + | 13.3040i | −0.0199963 | + | 0.849963i | ||||
\(246\) | −7.09589 | − | 9.36192i | −0.452417 | − | 0.596894i | ||||
\(247\) | −5.85277 | + | 10.1373i | −0.372403 | + | 0.645020i | ||||
\(248\) | 1.38764 | + | 12.2147i | 0.0881149 | + | 0.775635i | ||||
\(249\) | −9.37649 | + | 5.41352i | −0.594211 | + | 0.343068i | ||||
\(250\) | −2.14003 | − | 17.0348i | −0.135348 | − | 1.07737i | ||||
\(251\) | −13.4074 | + | 13.4074i | −0.846265 | + | 0.846265i | −0.989665 | − | 0.143400i | \(-0.954196\pi\) |
0.143400 | + | 0.989665i | \(0.454196\pi\) | |||||||
\(252\) | 4.93516 | − | 1.90897i | 0.310886 | − | 0.120254i | ||||
\(253\) | −10.7203 | − | 10.7203i | −0.673983 | − | 0.673983i | ||||
\(254\) | −23.1556 | − | 17.9870i | −1.45291 | − | 1.12860i | ||||
\(255\) | 2.54911 | + | 4.41519i | 0.159632 | + | 0.276490i | ||||
\(256\) | 8.64778 | − | 13.4616i | 0.540486 | − | 0.841353i | ||||
\(257\) | −7.95509 | − | 4.59288i | −0.496225 | − | 0.286496i | 0.230928 | − | 0.972971i | \(-0.425824\pi\) |
−0.727153 | + | 0.686475i | \(0.759157\pi\) | |||||||
\(258\) | −0.510484 | + | 3.70757i | −0.0317814 | + | 0.230823i | ||||
\(259\) | 6.97391 | − | 8.87059i | 0.433338 | − | 0.551192i | ||||
\(260\) | −15.6347 | − | 4.38858i | −0.969622 | − | 0.272168i | ||||
\(261\) | −1.31548 | − | 4.90942i | −0.0814259 | − | 0.303886i | ||||
\(262\) | −3.91191 | + | 9.28809i | −0.241679 | + | 0.573820i | ||||
\(263\) | 6.13859 | + | 10.6324i | 0.378522 | + | 0.655619i | 0.990847 | − | 0.134987i | \(-0.0430991\pi\) |
−0.612325 | + | 0.790606i | \(0.709766\pi\) | |||||||
\(264\) | 6.35777 | + | 8.59793i | 0.391294 | + | 0.529166i | ||||
\(265\) | −4.24784 | −0.260943 | ||||||||
\(266\) | −9.95089 | + | 2.47856i | −0.610128 | + | 0.151970i | ||||
\(267\) | 2.09509 | + | 2.09509i | 0.128217 | + | 0.128217i | ||||
\(268\) | −0.206184 | + | 17.3927i | −0.0125947 | + | 1.06243i | ||||
\(269\) | 17.5996 | + | 4.71580i | 1.07307 | + | 0.287527i | 0.751752 | − | 0.659446i | \(-0.229209\pi\) |
0.321314 | + | 0.946973i | \(0.395876\pi\) | |||||||
\(270\) | 1.01413 | + | 2.48996i | 0.0617178 | + | 0.151534i | ||||
\(271\) | −2.62792 | + | 4.55169i | −0.159635 | + | 0.276496i | −0.934737 | − | 0.355340i | \(-0.884365\pi\) |
0.775102 | + | 0.631836i | \(0.217698\pi\) | |||||||
\(272\) | −5.58216 | + | 9.16001i | −0.338468 | + | 0.555407i | ||||
\(273\) | 4.44673 | − | 10.3881i | 0.269129 | − | 0.628716i | ||||
\(274\) | 3.61303 | − | 26.2409i | 0.218271 | − | 1.58527i | ||||
\(275\) | 1.35603 | + | 5.06075i | 0.0817714 | + | 0.305175i | ||||
\(276\) | 4.09219 | − | 6.89773i | 0.246321 | − | 0.415195i | ||||
\(277\) | −10.5590 | − | 2.82927i | −0.634428 | − | 0.169994i | −0.0727496 | − | 0.997350i | \(-0.523177\pi\) |
−0.561678 | + | 0.827356i | \(0.689844\pi\) | |||||||
\(278\) | −1.47266 | − | 11.7225i | −0.0883245 | − | 0.703068i | ||||
\(279\) | − | 4.34633i | − | 0.260208i | ||||||
\(280\) | −6.74624 | − | 12.5253i | −0.403165 | − | 0.748528i | ||||
\(281\) | 21.2259i | 1.26623i | 0.774058 | + | 0.633115i | \(0.218224\pi\) | ||||
−0.774058 | + | 0.633115i | \(0.781776\pi\) | |||||||
\(282\) | 1.86309 | − | 0.234056i | 0.110946 | − | 0.0139378i | ||||
\(283\) | 21.8687 | + | 5.85969i | 1.29996 | + | 0.348322i | 0.841434 | − | 0.540360i | \(-0.181712\pi\) |
0.458523 | + | 0.888683i | \(0.348379\pi\) | |||||||
\(284\) | −3.88153 | − | 15.2048i | −0.230327 | − | 0.902238i | ||||
\(285\) | −1.34856 | − | 5.03289i | −0.0798817 | − | 0.298122i | ||||
\(286\) | 22.6217 | + | 3.11471i | 1.33765 | + | 0.184177i | ||||
\(287\) | −13.1728 | − | 17.5917i | −0.777565 | − | 1.03840i | ||||
\(288\) | −3.57514 | + | 4.38387i | −0.210667 | + | 0.258322i | ||||
\(289\) | −4.90418 | + | 8.49429i | −0.288481 | + | 0.499664i | ||||
\(290\) | −12.6555 | + | 5.15441i | −0.743156 | + | 0.302678i | ||||
\(291\) | 16.2193 | + | 4.34596i | 0.950795 | + | 0.254765i | ||||
\(292\) | −15.5410 | + | 15.1768i | −0.909467 | + | 0.888157i | ||||
\(293\) | −4.97114 | − | 4.97114i | −0.290417 | − | 0.290417i | 0.546828 | − | 0.837245i | \(-0.315835\pi\) |
−0.837245 | + | 0.546828i | \(0.815835\pi\) | |||||||
\(294\) | 9.25352 | − | 3.51743i | 0.539676 | − | 0.205141i | ||||
\(295\) | −16.5741 | −0.964982 | ||||||||
\(296\) | −1.78691 | + | 11.9297i | −0.103862 | + | 0.693402i | ||||
\(297\) | −1.89032 | − | 3.27413i | −0.109687 | − | 0.189984i | ||||
\(298\) | −14.0065 | − | 5.89919i | −0.811376 | − | 0.341731i | ||||
\(299\) | −4.43280 | − | 16.5434i | −0.256355 | − | 0.956731i | ||||
\(300\) | −2.41657 | + | 1.35727i | −0.139521 | + | 0.0783620i | ||||
\(301\) | −0.995477 | + | 6.93054i | −0.0573784 | + | 0.399470i | ||||
\(302\) | −32.1154 | − | 4.42187i | −1.84803 | − | 0.254450i | ||||
\(303\) | −12.4665 | − | 7.19752i | −0.716180 | − | 0.413487i | ||||
\(304\) | 7.93358 | − | 7.56605i | 0.455022 | − | 0.433943i | ||||
\(305\) | −11.2039 | − | 19.4057i | −0.641531 | − | 1.11116i | ||||
\(306\) | 2.32654 | − | 2.99508i | 0.132999 | − | 0.171217i | ||||
\(307\) | 5.09015 | + | 5.09015i | 0.290510 | + | 0.290510i | 0.837282 | − | 0.546772i | \(-0.184143\pi\) |
−0.546772 | + | 0.837282i | \(0.684143\pi\) | |||||||
\(308\) | 11.8003 | + | 16.1544i | 0.672382 | + | 0.920481i | ||||
\(309\) | 7.47773 | − | 7.47773i | 0.425393 | − | 0.425393i | ||||
\(310\) | −11.5942 | + | 1.45655i | −0.658509 | + | 0.0827268i | ||||
\(311\) | 18.4545 | − | 10.6547i | 1.04646 | − | 0.604173i | 0.124803 | − | 0.992182i | \(-0.460170\pi\) |
0.921656 | + | 0.388008i | \(0.126837\pi\) | |||||||
\(312\) | 1.36356 | + | 12.0028i | 0.0771965 | + | 0.679526i | ||||
\(313\) | 4.23567 | − | 7.33639i | 0.239414 | − | 0.414677i | −0.721132 | − | 0.692797i | \(-0.756378\pi\) |
0.960546 | + | 0.278120i | \(0.0897113\pi\) | |||||||
\(314\) | −14.7290 | + | 11.1639i | −0.831207 | + | 0.630016i | ||||
\(315\) | 1.87005 | + | 4.66928i | 0.105365 | + | 0.263084i | ||||
\(316\) | 5.94917 | − | 21.1944i | 0.334667 | − | 1.19228i | ||||
\(317\) | 4.03755 | − | 1.08186i | 0.226771 | − | 0.0607632i | −0.143644 | − | 0.989629i | \(-0.545882\pi\) |
0.370415 | + | 0.928866i | \(0.379215\pi\) | |||||||
\(318\) | 1.19193 | + | 2.92652i | 0.0668402 | + | 0.164111i | ||||
\(319\) | 16.6411 | − | 9.60775i | 0.931723 | − | 0.537930i | ||||
\(320\) | 12.8925 | + | 8.06789i | 0.720713 | + | 0.451009i | ||||
\(321\) | − | 10.7045i | − | 0.597468i | ||||||
\(322\) | 7.73093 | − | 12.8596i | 0.430828 | − | 0.716637i | ||||
\(323\) | −5.19718 | + | 5.19718i | −0.289179 | + | 0.289179i | ||||
\(324\) | 1.43088 | − | 1.39735i | 0.0794932 | − | 0.0776306i | ||||
\(325\) | −1.53188 | + | 5.71706i | −0.0849736 | + | 0.317126i | ||||
\(326\) | 25.4217 | + | 10.7070i | 1.40798 | + | 0.593004i | ||||
\(327\) | −6.62113 | − | 3.82271i | −0.366149 | − | 0.211396i | ||||
\(328\) | 21.5427 | + | 9.37545i | 1.18950 | + | 0.517672i | ||||
\(329\) | 3.48803 | − | 0.417536i | 0.192301 | − | 0.0230195i | ||||
\(330\) | −8.10055 | + | 6.13983i | −0.445921 | + | 0.337987i | ||||
\(331\) | −7.05966 | + | 1.89163i | −0.388034 | + | 0.103973i | −0.447561 | − | 0.894253i | \(-0.647707\pi\) |
0.0595273 | + | 0.998227i | \(0.481041\pi\) | |||||||
\(332\) | 11.0486 | − | 18.6233i | 0.606369 | − | 1.02209i | ||||
\(333\) | 1.10383 | − | 4.11953i | 0.0604893 | − | 0.225749i | ||||
\(334\) | −0.932738 | − | 0.724538i | −0.0510371 | − | 0.0396450i | ||||
\(335\) | −16.5338 | −0.903336 | ||||||||
\(336\) | −6.73621 | + | 8.16232i | −0.367490 | + | 0.445291i | ||||
\(337\) | −5.34439 | −0.291127 | −0.145564 | − | 0.989349i | \(-0.546500\pi\) | ||||
−0.145564 | + | 0.989349i | \(0.546500\pi\) | |||||||
\(338\) | 5.85325 | + | 4.54673i | 0.318375 | + | 0.247309i | ||||
\(339\) | −5.07125 | + | 18.9262i | −0.275432 | + | 1.02793i | ||||
\(340\) | −8.76933 | − | 5.20254i | −0.475584 | − | 0.282147i | ||||
\(341\) | 15.8720 | − | 4.25289i | 0.859517 | − | 0.230307i | ||||
\(342\) | −3.08897 | + | 2.34129i | −0.167032 | + | 0.126602i | ||||
\(343\) | 17.3499 | − | 6.47941i | 0.936804 | − | 0.349855i | ||||
\(344\) | −2.74101 | − | 6.96516i | −0.147786 | − | 0.375536i | ||||
\(345\) | 6.60229 | + | 3.81183i | 0.355455 | + | 0.205222i | ||||
\(346\) | −0.556657 | − | 0.234450i | −0.0299261 | − | 0.0126041i | ||||
\(347\) | 2.05983 | − | 7.68739i | 0.110578 | − | 0.412681i | −0.888341 | − | 0.459185i | \(-0.848141\pi\) |
0.998918 | + | 0.0465042i | \(0.0148081\pi\) | |||||||
\(348\) | 7.10218 | + | 7.27259i | 0.380717 | + | 0.389852i | ||||
\(349\) | 5.80737 | − | 5.80737i | 0.310861 | − | 0.310861i | −0.534382 | − | 0.845243i | \(-0.679456\pi\) |
0.845243 | + | 0.534382i | \(0.179456\pi\) | |||||||
\(350\) | −4.53572 | + | 2.51280i | −0.242444 | + | 0.134315i | ||||
\(351\) | − | 4.27093i | − | 0.227965i | ||||||
\(352\) | −19.5074 | − | 8.76613i | −1.03975 | − | 0.467236i | ||||
\(353\) | −6.51841 | + | 3.76340i | −0.346940 | + | 0.200306i | −0.663337 | − | 0.748321i | \(-0.730860\pi\) |
0.316397 | + | 0.948627i | \(0.397527\pi\) | |||||||
\(354\) | 4.65064 | + | 11.4186i | 0.247179 | + | 0.606892i | ||||
\(355\) | 14.4082 | − | 3.86065i | 0.764705 | − | 0.204902i | ||||
\(356\) | −5.70531 | − | 1.60145i | −0.302381 | − | 0.0848769i | ||||
\(357\) | 4.38517 | − | 5.57779i | 0.232088 | − | 0.295208i | ||||
\(358\) | −14.1638 | + | 10.7355i | −0.748582 | + | 0.567390i | ||||
\(359\) | −9.76434 | + | 16.9123i | −0.515342 | + | 0.892599i | 0.484499 | + | 0.874792i | \(0.339002\pi\) |
−0.999841 | + | 0.0178071i | \(0.994332\pi\) | |||||||
\(360\) | −4.20708 | − | 3.34872i | −0.221733 | − | 0.176493i | ||||
\(361\) | −9.94918 | + | 5.74416i | −0.523641 | + | 0.302324i | ||||
\(362\) | 31.2691 | − | 3.92825i | 1.64347 | − | 0.206464i | ||||
\(363\) | 2.32865 | − | 2.32865i | 0.122223 | − | 0.122223i | ||||
\(364\) | 2.41995 | + | 22.4697i | 0.126840 | + | 1.17773i | ||||
\(365\) | −14.6004 | − | 14.6004i | −0.764221 | − | 0.764221i | ||||
\(366\) | −10.2256 | + | 13.1640i | −0.534501 | + | 0.688092i | ||||
\(367\) | −2.77316 | − | 4.80326i | −0.144758 | − | 0.250728i | 0.784525 | − | 0.620098i | \(-0.212907\pi\) |
−0.929283 | + | 0.369370i | \(0.879574\pi\) | |||||||
\(368\) | −0.380256 | + | 16.0360i | −0.0198222 | + | 0.835936i | ||||
\(369\) | −7.19367 | − | 4.15327i | −0.374488 | − | 0.216211i | ||||
\(370\) | −11.3592 | − | 1.56401i | −0.590534 | − | 0.0813089i | ||||
\(371\) | 2.19792 | + | 5.48793i | 0.114110 | + | 0.284919i | ||||
\(372\) | 4.25679 | + | 7.57906i | 0.220704 | + | 0.392956i | ||||
\(373\) | −4.94507 | − | 18.4552i | −0.256046 | − | 0.955576i | −0.967506 | − | 0.252849i | \(-0.918632\pi\) |
0.711460 | − | 0.702727i | \(-0.248034\pi\) | |||||||
\(374\) | 13.2140 | + | 5.56540i | 0.683279 | + | 0.287780i | ||||
\(375\) | −6.07004 | − | 10.5136i | −0.313456 | − | 0.542921i | ||||
\(376\) | −3.01960 | + | 2.23285i | −0.155724 | + | 0.115151i | ||||
\(377\) | 21.7075 | 1.11799 | ||||||||
\(378\) | 2.69213 | − | 2.59854i | 0.138468 | − | 0.133655i | ||||
\(379\) | −1.24584 | − | 1.24584i | −0.0639946 | − | 0.0639946i | 0.674385 | − | 0.738380i | \(-0.264409\pi\) |
−0.738380 | + | 0.674385i | \(0.764409\pi\) | |||||||
\(380\) | 7.28079 | + | 7.45549i | 0.373497 | + | 0.382458i | ||||
\(381\) | −20.0265 | − | 5.36609i | −1.02599 | − | 0.274913i | ||||
\(382\) | −31.5006 | + | 12.8298i | −1.61171 | + | 0.656427i | ||||
\(383\) | 0.807456 | − | 1.39856i | 0.0412591 | − | 0.0714628i | −0.844658 | − | 0.535306i | \(-0.820196\pi\) |
0.885918 | + | 0.463843i | \(0.153530\pi\) | |||||||
\(384\) | 1.94071 | − | 11.1460i | 0.0990366 | − | 0.568793i | ||||
\(385\) | −15.2215 | + | 11.3980i | −0.775759 | + | 0.580894i | ||||
\(386\) | −13.4803 | − | 1.85606i | −0.686128 | − | 0.0944709i | ||||
\(387\) | 0.684934 | + | 2.55621i | 0.0348171 | + | 0.129939i | ||||
\(388\) | −32.5394 | + | 8.30679i | −1.65194 | + | 0.421713i | ||||
\(389\) | −19.5972 | − | 5.25104i | −0.993615 | − | 0.266238i | −0.274847 | − | 0.961488i | \(-0.588627\pi\) |
−0.718768 | + | 0.695250i | \(0.755294\pi\) | |||||||
\(390\) | −11.3931 | + | 1.43129i | −0.576913 | + | 0.0724760i | ||||
\(391\) | − | 10.7541i | − | 0.543857i | ||||||
\(392\) | −12.6912 | + | 15.1965i | −0.641001 | + | 0.767540i | ||||
\(393\) | 7.12642i | 0.359480i | ||||||||
\(394\) | −3.12053 | − | 24.8395i | −0.157210 | − | 1.25140i | ||||
\(395\) | 20.2119 | + | 5.41578i | 1.01697 | + | 0.272497i | ||||
\(396\) | 6.50298 | + | 3.85799i | 0.326787 | + | 0.193871i | ||||
\(397\) | 3.25819 | + | 12.1597i | 0.163524 | + | 0.610279i | 0.998224 | + | 0.0595743i | \(0.0189743\pi\) |
−0.834700 | + | 0.550705i | \(0.814359\pi\) | |||||||
\(398\) | −1.46536 | + | 10.6427i | −0.0734518 | + | 0.533469i | ||||
\(399\) | −5.80438 | + | 4.34637i | −0.290583 | + | 0.217590i | ||||
\(400\) | 2.88466 | − | 4.73357i | 0.144233 | − | 0.236678i | ||||
\(401\) | 12.9943 | − | 22.5068i | 0.648905 | − | 1.12394i | −0.334480 | − | 0.942403i | \(-0.608561\pi\) |
0.983385 | − | 0.181533i | \(-0.0581059\pi\) | |||||||
\(402\) | 4.63932 | + | 11.3908i | 0.231388 | + | 0.568122i | ||||
\(403\) | 17.9304 | + | 4.80443i | 0.893176 | + | 0.239326i | ||||
\(404\) | 28.7880 | + | 0.341272i | 1.43226 | + | 0.0169789i | ||||
\(405\) | 1.34428 | + | 1.34428i | 0.0667978 | + | 0.0667978i | ||||
\(406\) | 13.2074 | + | 13.6831i | 0.655471 | + | 0.679079i | ||||
\(407\) | 16.1239 | 0.799230 | ||||||||
\(408\) | −1.12360 | + | 7.50138i | −0.0556266 | + | 0.371373i | ||||
\(409\) | 10.6807 | + | 18.4995i | 0.528127 | + | 0.914743i | 0.999462 | + | 0.0327887i | \(0.0104388\pi\) |
−0.471335 | + | 0.881954i | \(0.656228\pi\) | |||||||
\(410\) | −8.66847 | + | 20.5816i | −0.428105 | + | 1.01646i | ||||
\(411\) | −4.84772 | − | 18.0919i | −0.239120 | − | 0.892409i | ||||
\(412\) | −5.71586 | + | 20.3632i | −0.281600 | + | 1.00322i | ||||
\(413\) | 8.57578 | + | 21.4126i | 0.421987 | + | 1.05365i | ||||
\(414\) | 0.773551 | − | 5.61818i | 0.0380180 | − | 0.276119i | ||||
\(415\) | 17.8257 | + | 10.2916i | 0.875027 | + | 0.505197i | ||||
\(416\) | −14.1333 | − | 19.5948i | −0.692942 | − | 0.960716i | ||||
\(417\) | −4.17710 | − | 7.23495i | −0.204553 | − | 0.354297i | ||||
\(418\) | −11.5725 | − | 8.98938i | −0.566030 | − | 0.439685i | ||||
\(419\) | 6.19414 | + | 6.19414i | 0.302603 | + | 0.302603i | 0.842032 | − | 0.539428i | \(-0.181360\pi\) |
−0.539428 | + | 0.842032i | \(0.681360\pi\) | |||||||
\(420\) | −7.83405 | − | 6.31069i | −0.382262 | − | 0.307930i | ||||
\(421\) | 25.6138 | − | 25.6138i | 1.24834 | − | 1.24834i | 0.291885 | − | 0.956454i | \(-0.405718\pi\) |
0.956454 | − | 0.291885i | \(-0.0942823\pi\) | |||||||
\(422\) | −3.21351 | − | 25.5797i | −0.156431 | − | 1.24520i | ||||
\(423\) | 1.14988 | − | 0.663881i | 0.0559088 | − | 0.0322790i | ||||
\(424\) | −4.94470 | − | 3.93584i | −0.240136 | − | 0.191141i | ||||
\(425\) | −1.85819 | + | 3.21848i | −0.0901355 | + | 0.156119i | ||||
\(426\) | −6.70265 | − | 8.84310i | −0.324744 | − | 0.428449i | ||||
\(427\) | −19.2737 | + | 24.5155i | −0.932720 | + | 1.18639i | ||||
\(428\) | 10.4840 | + | 18.6664i | 0.506763 | + | 0.902273i | ||||
\(429\) | 15.5966 | − | 4.17911i | 0.753013 | − | 0.201769i | ||||
\(430\) | 6.58939 | − | 2.68377i | 0.317768 | − | 0.129423i | ||||
\(431\) | 9.84802 | − | 5.68576i | 0.474362 | − | 0.273873i | −0.243702 | − | 0.969850i | \(-0.578362\pi\) |
0.718064 | + | 0.695977i | \(0.245028\pi\) | |||||||
\(432\) | −1.12658 | + | 3.83808i | −0.0542025 | + | 0.184659i | ||||
\(433\) | 13.7146i | 0.659084i | 0.944141 | + | 0.329542i | \(0.106894\pi\) | ||||
−0.944141 | + | 0.329542i | \(0.893106\pi\) | |||||||
\(434\) | 7.88087 | + | 14.2253i | 0.378294 | + | 0.682838i | ||||
\(435\) | −6.83245 | + | 6.83245i | −0.327591 | + | 0.327591i | ||||
\(436\) | 15.2898 | + | 0.181255i | 0.732247 | + | 0.00868052i | ||||
\(437\) | −2.84462 | + | 10.6163i | −0.136076 | + | 0.507844i | ||||
\(438\) | −5.96202 | + | 14.1557i | −0.284876 | + | 0.676385i | ||||
\(439\) | 17.8708 | + | 10.3177i | 0.852926 | + | 0.492437i | 0.861637 | − | 0.507525i | \(-0.169440\pi\) |
−0.00871134 | + | 0.999962i | \(0.502773\pi\) | |||||||
\(440\) | 8.11226 | − | 18.6402i | 0.386737 | − | 0.888637i | ||||
\(441\) | 5.06479 | − | 4.83196i | 0.241181 | − | 0.230093i | ||||
\(442\) | 9.78416 | + | 12.9087i | 0.465385 | + | 0.614003i | ||||
\(443\) | 38.5332 | − | 10.3250i | 1.83077 | − | 0.490553i | 0.832761 | − | 0.553632i | \(-0.186759\pi\) |
0.998009 | + | 0.0630790i | \(0.0200920\pi\) | |||||||
\(444\) | 2.10983 | + | 8.26466i | 0.100128 | + | 0.392223i | ||||
\(445\) | 1.45787 | − | 5.44084i | 0.0691096 | − | 0.257921i | ||||
\(446\) | −10.8731 | + | 13.9975i | −0.514856 | + | 0.662802i | ||||
\(447\) | −10.7467 | −0.508302 | ||||||||
\(448\) | 3.75233 | − | 20.8307i | 0.177281 | − | 0.984160i | ||||
\(449\) | 3.53916 | 0.167023 | 0.0835117 | − | 0.996507i | \(-0.473386\pi\) | ||||
0.0835117 | + | 0.996507i | \(0.473386\pi\) | |||||||
\(450\) | −1.20227 | + | 1.54775i | −0.0566757 | + | 0.0729617i | ||||
\(451\) | 8.12795 | − | 30.3339i | 0.382730 | − | 1.42837i | ||||
\(452\) | −9.69309 | − | 37.9699i | −0.455925 | − | 1.78595i | ||||
\(453\) | −22.1421 | + | 5.93297i | −1.04033 | + | 0.278755i | ||||
\(454\) | 19.1832 | + | 25.3092i | 0.900312 | + | 1.18782i | ||||
\(455\) | −21.3298 | + | 2.55330i | −0.999957 | + | 0.119701i | ||||
\(456\) | 3.09343 | − | 7.10803i | 0.144863 | − | 0.332864i | ||||
\(457\) | 14.8476 | + | 8.57227i | 0.694542 | + | 0.400994i | 0.805311 | − | 0.592852i | \(-0.201998\pi\) |
−0.110770 | + | 0.993846i | \(0.535332\pi\) | |||||||
\(458\) | 6.08969 | − | 14.4588i | 0.284553 | − | 0.675617i | ||||
\(459\) | 0.694081 | − | 2.59035i | 0.0323969 | − | 0.120907i | ||||
\(460\) | −15.2463 | − | 0.180739i | −0.710861 | − | 0.00842699i | ||||
\(461\) | −9.31265 | + | 9.31265i | −0.433734 | + | 0.433734i | −0.889896 | − | 0.456163i | \(-0.849223\pi\) |
0.456163 | + | 0.889896i | \(0.349223\pi\) | |||||||
\(462\) | 12.1236 | + | 7.28849i | 0.564043 | + | 0.339091i | ||||
\(463\) | − | 24.0364i | − | 1.11707i | −0.829482 | − | 0.558533i | \(-0.811364\pi\) | ||
0.829482 | − | 0.558533i | \(-0.188636\pi\) | |||||||
\(464\) | −19.5074 | − | 5.72595i | −0.905610 | − | 0.265821i | ||||
\(465\) | −7.15581 | + | 4.13141i | −0.331843 | + | 0.191589i | ||||
\(466\) | 14.3021 | − | 5.82507i | 0.662534 | − | 0.269841i | ||||
\(467\) | −33.8304 | + | 9.06483i | −1.56549 | + | 0.419471i | −0.934395 | − | 0.356239i | \(-0.884059\pi\) |
−0.631090 | + | 0.775709i | \(0.717392\pi\) | |||||||
\(468\) | 4.18294 | + | 7.44758i | 0.193357 | + | 0.344264i | ||||
\(469\) | 8.55491 | + | 21.3605i | 0.395029 | + | 0.986337i | ||||
\(470\) | −2.15631 | − | 2.84492i | −0.0994633 | − | 0.131226i | ||||
\(471\) | −6.53430 | + | 11.3177i | −0.301085 | + | 0.521494i | ||||
\(472\) | −19.2931 | − | 15.3567i | −0.888035 | − | 0.706851i | ||||
\(473\) | −8.66459 | + | 5.00250i | −0.398398 | + | 0.230015i | ||||
\(474\) | −1.94025 | − | 15.4445i | −0.0891188 | − | 0.709390i | ||||
\(475\) | 2.68572 | − | 2.68572i | 0.123229 | − | 0.123229i | ||||
\(476\) | −2.18390 | + | 14.0213i | −0.100099 | + | 0.642665i | ||||
\(477\) | 1.57997 | + | 1.57997i | 0.0723418 | + | 0.0723418i | ||||
\(478\) | 23.7437 | + | 18.4438i | 1.08601 | + | 0.843599i | ||||
\(479\) | 0.350377 | + | 0.606870i | 0.0160091 | + | 0.0277286i | 0.873919 | − | 0.486072i | \(-0.161571\pi\) |
−0.857910 | + | 0.513800i | \(0.828237\pi\) | |||||||
\(480\) | 10.6160 | + | 1.71903i | 0.484550 | + | 0.0784624i | ||||
\(481\) | 15.7746 | + | 9.10745i | 0.719258 | + | 0.415264i | ||||
\(482\) | 4.02722 | − | 29.2491i | 0.183435 | − | 1.33226i | ||||
\(483\) | 1.50847 | − | 10.5020i | 0.0686380 | − | 0.477859i | ||||
\(484\) | −1.77999 | + | 6.34134i | −0.0809084 | + | 0.288243i | ||||
\(485\) | −8.26210 | − | 30.8346i | −0.375163 | − | 1.40013i | ||||
\(486\) | 0.548931 | − | 1.30333i | 0.0249000 | − | 0.0591204i | ||||
\(487\) | 13.0936 | + | 22.6787i | 0.593327 | + | 1.02767i | 0.993781 | + | 0.111355i | \(0.0355191\pi\) |
−0.400454 | + | 0.916317i | \(0.631148\pi\) | |||||||
\(488\) | 4.93846 | − | 32.9701i | 0.223554 | − | 1.49248i | ||||
\(489\) | 19.5051 | 0.882052 | ||||||||
\(490\) | −14.5870 | − | 11.8915i | −0.658975 | − | 0.537204i | ||||
\(491\) | −11.7550 | − | 11.7550i | −0.530494 | − | 0.530494i | 0.390225 | − | 0.920719i | \(-0.372397\pi\) |
−0.920719 | + | 0.390225i | \(0.872397\pi\) | |||||||
\(492\) | 16.6119 | + | 0.196928i | 0.748923 | + | 0.00887820i | ||||
\(493\) | 13.1657 | + | 3.52774i | 0.592954 | + | 0.158881i | ||||
\(494\) | −6.24423 | − | 15.3313i | −0.280941 | − | 0.689787i | ||||
\(495\) | −3.59368 | + | 6.22444i | −0.161524 | + | 0.279768i | ||||
\(496\) | −14.8458 | − | 9.04714i | −0.666598 | − | 0.406229i | ||||
\(497\) | −12.4428 | − | 16.6168i | −0.558135 | − | 0.745365i | ||||
\(498\) | 2.08853 | − | 15.1686i | 0.0935891 | − | 0.679723i | ||||
\(499\) | −5.59395 | − | 20.8769i | −0.250420 | − | 0.934579i | −0.970582 | − | 0.240773i | \(-0.922599\pi\) |
0.720162 | − | 0.693806i | \(-0.244067\pi\) | |||||||
\(500\) | 20.8819 | + | 12.3885i | 0.933865 | + | 0.554030i | ||||
\(501\) | −0.806694 | − | 0.216153i | −0.0360404 | − | 0.00965701i | ||||
\(502\) | −3.34239 | − | 26.6056i | −0.149178 | − | 1.18747i | ||||
\(503\) | − | 9.23632i | − | 0.411827i | −0.978570 | − | 0.205914i | \(-0.933983\pi\) | ||
0.978570 | − | 0.205914i | \(-0.0660166\pi\) | |||||||
\(504\) | −2.14949 | + | 7.16796i | −0.0957458 | + | 0.319286i | ||||
\(505\) | 27.3664i | 1.21779i | ||||||||
\(506\) | 21.2735 | − | 2.67253i | 0.945722 | − | 0.118809i | ||||
\(507\) | 5.06228 | + | 1.35643i | 0.224824 | + | 0.0602414i | ||||
\(508\) | 40.1775 | − | 10.2567i | 1.78259 | − | 0.455065i | ||||
\(509\) | −6.94798 | − | 25.9302i | −0.307964 | − | 1.14934i | −0.930364 | − | 0.366637i | \(-0.880509\pi\) |
0.622400 | − | 0.782699i | \(-0.286158\pi\) | |||||||
\(510\) | −7.14259 | − | 0.983442i | −0.316279 | − | 0.0435476i | ||||
\(511\) | −11.3082 | + | 26.4173i | −0.500246 | + | 1.16863i | ||||
\(512\) | 7.53221 | + | 21.3370i | 0.332880 | + | 0.942969i | ||||
\(513\) | −1.37037 | + | 2.37355i | −0.0605034 | + | 0.104795i | ||||
\(514\) | 12.0310 | − | 4.90007i | 0.530665 | − | 0.216133i | ||||
\(515\) | −19.4193 | − | 5.20338i | −0.855716 | − | 0.229288i | ||||
\(516\) | −3.69792 | − | 3.78665i | −0.162792 | − | 0.166698i | ||||
\(517\) | 3.54952 | + | 3.54952i | 0.156108 | + | 0.156108i | ||||
\(518\) | 3.85687 | + | 15.4845i | 0.169461 | + | 0.680351i | ||||
\(519\) | −0.427103 | −0.0187477 | ||||||||
\(520\) | 18.4653 | − | 13.6542i | 0.809757 | − | 0.598778i | ||||
\(521\) | 4.31760 | + | 7.47830i | 0.189157 | + | 0.327630i | 0.944970 | − | 0.327158i | \(-0.106091\pi\) |
−0.755812 | + | 0.654789i | \(0.772758\pi\) | |||||||
\(522\) | 6.62433 | + | 2.79000i | 0.289939 | + | 0.122115i | ||||
\(523\) | 2.91453 | + | 10.8772i | 0.127444 | + | 0.475626i | 0.999915 | − | 0.0130394i | \(-0.00415068\pi\) |
−0.872471 | + | 0.488665i | \(0.837484\pi\) | |||||||
\(524\) | −6.97960 | − | 12.4269i | −0.304905 | − | 0.542873i | ||||
\(525\) | −2.26610 | + | 2.88240i | −0.0989007 | + | 0.125798i | ||||
\(526\) | −17.2003 | − | 2.36826i | −0.749968 | − | 0.103261i | ||||
\(527\) | 10.0941 | + | 5.82783i | 0.439706 | + | 0.253864i | ||||
\(528\) | −15.1183 | − | 0.358494i | −0.657939 | − | 0.0156015i | ||||
\(529\) | 3.45941 | + | 5.99187i | 0.150409 | + | 0.260516i | ||||
\(530\) | 3.68523 | − | 4.74420i | 0.160076 | − | 0.206075i | ||||
\(531\) | 6.16467 | + | 6.16467i | 0.267524 | + | 0.267524i | ||||
\(532\) | 5.86476 | − | 13.2639i | 0.254270 | − | 0.575064i | ||||
\(533\) | 25.0858 | − | 25.0858i | 1.08659 | − | 1.08659i | ||||
\(534\) | −4.15750 | + | 0.522296i | −0.179913 | + | 0.0226019i | ||||
\(535\) | −17.6239 | + | 10.1752i | −0.761949 | + | 0.439912i | ||||
\(536\) | −19.2461 | − | 15.3194i | −0.831305 | − | 0.661695i | ||||
\(537\) | −6.28357 | + | 10.8835i | −0.271156 | + | 0.469656i | ||||
\(538\) | −20.5354 | + | 15.5649i | −0.885345 | + | 0.671049i | ||||
\(539\) | 22.6013 | + | 13.7676i | 0.973508 | + | 0.593013i | ||||
\(540\) | −3.66072 | − | 1.02755i | −0.157532 | − | 0.0442186i | ||||
\(541\) | 30.6953 | − | 8.22478i | 1.31969 | − | 0.353611i | 0.470830 | − | 0.882224i | \(-0.343954\pi\) |
0.848863 | + | 0.528613i | \(0.177288\pi\) | |||||||
\(542\) | −2.80369 | − | 6.88383i | −0.120429 | − | 0.295686i | ||||
\(543\) | 19.2988 | − | 11.1422i | 0.828192 | − | 0.478157i | ||||
\(544\) | −5.38752 | − | 14.1812i | −0.230988 | − | 0.608015i | ||||
\(545\) | 14.5347i | 0.622598i | ||||||||
\(546\) | 7.74415 | + | 13.9786i | 0.331419 | + | 0.598227i | ||||
\(547\) | −22.1973 | + | 22.1973i | −0.949090 | + | 0.949090i | −0.998765 | − | 0.0496755i | \(-0.984181\pi\) |
0.0496755 | + | 0.998765i | \(0.484181\pi\) | |||||||
\(548\) | 26.1726 | + | 26.8006i | 1.11804 | + | 1.14486i | ||||
\(549\) | −3.05063 | + | 11.3851i | −0.130198 | + | 0.485904i | ||||
\(550\) | −6.82852 | − | 2.87600i | −0.291169 | − | 0.122633i | ||||
\(551\) | −12.0638 | − | 6.96506i | −0.513937 | − | 0.296722i | ||||
\(552\) | 4.15353 | + | 10.5545i | 0.176786 | + | 0.449230i | ||||
\(553\) | −3.46126 | − | 28.9147i | −0.147188 | − | 1.22958i | ||||
\(554\) | 12.3203 | − | 9.33824i | 0.523441 | − | 0.396744i | ||||
\(555\) | −7.83164 | + | 2.09848i | −0.332435 | + | 0.0890756i | ||||
\(556\) | 14.3698 | + | 8.52513i | 0.609417 | + | 0.361546i | ||||
\(557\) | 4.17116 | − | 15.5670i | 0.176738 | − | 0.659595i | −0.819511 | − | 0.573063i | \(-0.805755\pi\) |
0.996249 | − | 0.0865315i | \(-0.0275783\pi\) | |||||||
\(558\) | 4.85420 | + | 3.77068i | 0.205495 | + | 0.159625i | ||||
\(559\) | −11.3025 | −0.478045 | ||||||||
\(560\) | 19.8416 | + | 3.33181i | 0.838459 | + | 0.140795i | ||||
\(561\) | 10.1386 | 0.428053 | ||||||||
\(562\) | −23.7061 | − | 18.4146i | −0.999981 | − | 0.776772i | ||||
\(563\) | 3.89974 | − | 14.5540i | 0.164355 | − | 0.613380i | −0.833767 | − | 0.552116i | \(-0.813820\pi\) |
0.998122 | − | 0.0612632i | \(-0.0195129\pi\) | |||||||
\(564\) | −1.35493 | + | 2.28385i | −0.0570528 | + | 0.0961674i | ||||
\(565\) | 35.9805 | − | 9.64095i | 1.51371 | − | 0.405598i | ||||
\(566\) | −25.5166 | + | 19.3404i | −1.07254 | + | 0.812937i | ||||
\(567\) | 1.04116 | − | 2.43228i | 0.0437247 | − | 0.102146i | ||||
\(568\) | 20.3489 | + | 8.85588i | 0.853820 | + | 0.371584i | ||||
\(569\) | −24.8731 | − | 14.3605i | −1.04273 | − | 0.602022i | −0.122127 | − | 0.992514i | \(-0.538972\pi\) |
−0.920606 | + | 0.390492i | \(0.872305\pi\) | |||||||
\(570\) | 6.79092 | + | 2.86016i | 0.284440 | + | 0.119799i | ||||
\(571\) | −3.94443 | + | 14.7208i | −0.165069 | + | 0.616047i | 0.832962 | + | 0.553330i | \(0.186643\pi\) |
−0.998031 | + | 0.0627169i | \(0.980023\pi\) | |||||||
\(572\) | −23.1042 | + | 22.5628i | −0.966033 | + | 0.943398i | ||||
\(573\) | −17.0065 | + | 17.0065i | −0.710458 | + | 0.710458i | ||||
\(574\) | 31.0754 | + | 0.549717i | 1.29706 | + | 0.0229447i | ||||
\(575\) | 5.55732i | 0.231756i | ||||||||
\(576\) | −1.79450 | − | 7.79614i | −0.0747707 | − | 0.324839i | ||||
\(577\) | −37.0309 | + | 21.3798i | −1.54162 | + | 0.890053i | −0.542879 | + | 0.839811i | \(0.682666\pi\) |
−0.998737 | + | 0.0502417i | \(0.984001\pi\) | |||||||
\(578\) | −5.23220 | − | 12.8465i | −0.217631 | − | 0.534343i | ||||
\(579\) | −9.29406 | + | 2.49034i | −0.386248 | + | 0.103495i | ||||
\(580\) | 5.22262 | − | 18.6060i | 0.216857 | − | 0.772572i | ||||
\(581\) | 4.07276 | − | 28.3547i | 0.168967 | − | 1.17635i | ||||
\(582\) | −18.9249 | + | 14.3442i | −0.784463 | + | 0.594586i | ||||
\(583\) | −4.22375 | + | 7.31575i | −0.174930 | + | 0.302988i | ||||
\(584\) | −3.46759 | − | 30.5236i | −0.143490 | − | 1.26308i | ||||
\(585\) | −7.03167 | + | 4.05973i | −0.290724 | + | 0.167849i | ||||
\(586\) | 9.86474 | − | 1.23928i | 0.407509 | − | 0.0511942i | ||||
\(587\) | 3.39665 | − | 3.39665i | 0.140195 | − | 0.140195i | −0.633526 | − | 0.773721i | \(-0.718393\pi\) |
0.773721 | + | 0.633526i | \(0.218393\pi\) | |||||||
\(588\) | −4.09949 | + | 13.3863i | −0.169060 | + | 0.552044i | ||||
\(589\) | −8.42319 | − | 8.42319i | −0.347071 | − | 0.347071i | ||||
\(590\) | 14.3789 | − | 18.5108i | 0.591971 | − | 0.762076i | ||||
\(591\) | −8.85113 | − | 15.3306i | −0.364087 | − | 0.630617i | ||||
\(592\) | −11.7735 | − | 12.3454i | −0.483887 | − | 0.507393i | ||||
\(593\) | 9.56461 | + | 5.52213i | 0.392771 | + | 0.226767i | 0.683360 | − | 0.730081i | \(-0.260518\pi\) |
−0.290589 | + | 0.956848i | \(0.593851\pi\) | |||||||
\(594\) | 5.29666 | + | 0.729281i | 0.217324 | + | 0.0299228i | ||||
\(595\) | −13.3516 | − | 1.91778i | −0.547362 | − | 0.0786211i | ||||
\(596\) | 18.7399 | − | 10.5253i | 0.767617 | − | 0.431133i | ||||
\(597\) | 1.96612 | + | 7.33766i | 0.0804679 | + | 0.300310i | ||||
\(598\) | 22.3222 | + | 9.40154i | 0.912822 | + | 0.384458i | ||||
\(599\) | −4.99650 | − | 8.65419i | −0.204151 | − | 0.353601i | 0.745711 | − | 0.666270i | \(-0.232110\pi\) |
−0.949862 | + | 0.312669i | \(0.898777\pi\) | |||||||
\(600\) | 0.580638 | − | 3.87644i | 0.0237044 | − | 0.158255i | ||||
\(601\) | −28.3318 | −1.15568 | −0.577839 | − | 0.816151i | \(-0.696104\pi\) | ||||
−0.577839 | + | 0.816151i | \(0.696104\pi\) | |||||||
\(602\) | −6.87673 | − | 7.12441i | −0.280275 | − | 0.290369i | ||||
\(603\) | 6.14967 | + | 6.14967i | 0.250434 | + | 0.250434i | ||||
\(604\) | 32.8004 | − | 32.0318i | 1.33463 | − | 1.30336i | ||||
\(605\) | −6.04739 | − | 1.62039i | −0.245862 | − | 0.0658784i | ||||
\(606\) | 18.8539 | − | 7.67893i | 0.765886 | − | 0.311935i | ||||
\(607\) | 3.47240 | − | 6.01438i | 0.140941 | − | 0.244116i | −0.786911 | − | 0.617067i | \(-0.788321\pi\) |
0.927851 | + | 0.372951i | \(0.121654\pi\) | |||||||
\(608\) | 1.56732 | + | 15.4246i | 0.0635633 | + | 0.625549i | ||||
\(609\) | 12.3623 | + | 5.29182i | 0.500946 | + | 0.214435i | ||||
\(610\) | 31.3931 | + | 4.32243i | 1.27107 | + | 0.175010i | ||||
\(611\) | 1.46771 | + | 5.47755i | 0.0593770 | + | 0.221598i | ||||
\(612\) | 1.32665 | + | 5.19678i | 0.0536268 | + | 0.210067i | ||||
\(613\) | −0.199070 | − | 0.0533406i | −0.00804035 | − | 0.00215441i | 0.254797 | − | 0.966995i | \(-0.417991\pi\) |
−0.262837 | + | 0.964840i | \(0.584658\pi\) | |||||||
\(614\) | −10.1009 | + | 1.26895i | −0.407640 | + | 0.0512107i | ||||
\(615\) | 15.7916i | 0.636777i | ||||||||
\(616\) | −28.2793 | − | 0.835672i | −1.13941 | − | 0.0336702i | ||||
\(617\) | − | 27.7187i | − | 1.11591i | −0.829871 | − | 0.557956i | \(-0.811586\pi\) | ||
0.829871 | − | 0.557956i | \(-0.188414\pi\) | |||||||
\(618\) | 1.86416 | + | 14.8388i | 0.0749876 | + | 0.596905i | ||||
\(619\) | −11.5976 | − | 3.10756i | −0.466145 | − | 0.124903i | 0.0180989 | − | 0.999836i | \(-0.494239\pi\) |
−0.484244 | + | 0.874933i | \(0.660905\pi\) | |||||||
\(620\) | 8.43188 | − | 14.2127i | 0.338632 | − | 0.570794i | ||||
\(621\) | −1.03790 | − | 3.87349i | −0.0416495 | − | 0.155438i | ||||
\(622\) | −4.11057 | + | 29.8544i | −0.164819 | + | 1.19705i | ||||
\(623\) | −7.78354 | + | 0.931734i | −0.311841 | + | 0.0373291i | ||||
\(624\) | −14.5883 | − | 8.89019i | −0.583999 | − | 0.355892i | ||||
\(625\) | −8.07520 | + | 13.9867i | −0.323008 | + | 0.559467i | ||||
\(626\) | 4.51897 | + | 11.0953i | 0.180614 | + | 0.443458i | ||||
\(627\) | −10.0087 | − | 2.68182i | −0.399708 | − | 0.107102i | ||||
\(628\) | 0.309825 | − | 26.1354i | 0.0123634 | − | 1.04292i | ||||
\(629\) | 8.08729 | + | 8.08729i | 0.322461 | + | 0.322461i | ||||
\(630\) | −6.83725 | − | 1.96229i | −0.272402 | − | 0.0781793i | ||||
\(631\) | −19.2326 | −0.765637 | −0.382818 | − | 0.923824i | \(-0.625046\pi\) | ||||
−0.382818 | + | 0.923824i | \(0.625046\pi\) | |||||||
\(632\) | 18.5097 | + | 25.0316i | 0.736277 | + | 0.995703i | ||||
\(633\) | −9.11489 | − | 15.7874i | −0.362284 | − | 0.627495i | ||||
\(634\) | −2.29452 | + | 5.44790i | −0.0911270 | + | 0.216364i | ||||
\(635\) | 10.2015 | + | 38.0724i | 0.404833 | + | 1.51086i | ||||
\(636\) | −4.30254 | − | 1.20770i | −0.170607 | − | 0.0478886i | ||||
\(637\) | 14.3352 | + | 26.2356i | 0.567980 | + | 1.03949i | ||||
\(638\) | −3.70665 | + | 26.9208i | −0.146748 | + | 1.06581i | ||||
\(639\) | −6.79501 | − | 3.92310i | −0.268807 | − | 0.155196i | ||||
\(640\) | −20.1956 | + | 7.39965i | −0.798299 | + | 0.292497i | ||||
\(641\) | 8.50709 | + | 14.7347i | 0.336010 | + | 0.581986i | 0.983678 | − | 0.179936i | \(-0.0575891\pi\) |
−0.647668 | + | 0.761922i | \(0.724256\pi\) | |||||||
\(642\) | 11.9553 | + | 9.28675i | 0.471839 | + | 0.366519i | ||||
\(643\) | 12.6471 | + | 12.6471i | 0.498753 | + | 0.498753i | 0.911050 | − | 0.412296i | \(-0.135273\pi\) |
−0.412296 | + | 0.911050i | \(0.635273\pi\) | |||||||
\(644\) | 7.65523 | + | 19.7907i | 0.301658 | + | 0.779862i | ||||
\(645\) | 3.55748 | − | 3.55748i | 0.140076 | − | 0.140076i | ||||
\(646\) | −1.29563 | − | 10.3133i | −0.0509759 | − | 0.405771i | ||||
\(647\) | 5.83366 | − | 3.36807i | 0.229345 | − | 0.132412i | −0.380925 | − | 0.924606i | \(-0.624394\pi\) |
0.610270 | + | 0.792194i | \(0.291061\pi\) | |||||||
\(648\) | 0.319266 | + | 2.81035i | 0.0125419 | + | 0.110401i | ||||
\(649\) | −16.4801 | + | 28.5444i | −0.646901 | + | 1.12047i | ||||
\(650\) | −5.05610 | − | 6.67074i | −0.198317 | − | 0.261648i | ||||
\(651\) | 9.04006 | + | 7.10715i | 0.354308 | + | 0.278551i | ||||
\(652\) | −34.0127 | + | 19.1033i | −1.33204 | + | 0.748142i | ||||
\(653\) | −28.0614 | + | 7.51902i | −1.09813 | + | 0.294242i | −0.762001 | − | 0.647576i | \(-0.775783\pi\) |
−0.336125 | + | 0.941818i | \(0.609116\pi\) | |||||||
\(654\) | 10.0136 | − | 4.07839i | 0.391561 | − | 0.159478i | ||||
\(655\) | 11.7329 | − | 6.77402i | 0.458444 | − | 0.264683i | ||||
\(656\) | −29.1604 | + | 15.9263i | −1.13852 | + | 0.621817i | ||||
\(657\) | 10.8611i | 0.423734i | ||||||||
\(658\) | −2.55972 | + | 4.25783i | −0.0997884 | + | 0.165988i | ||||
\(659\) | −34.7758 | + | 34.7758i | −1.35467 | + | 1.35467i | −0.474324 | + | 0.880350i | \(0.657308\pi\) |
−0.880350 | + | 0.474324i | \(0.842692\pi\) | |||||||
\(660\) | 0.170395 | − | 14.3737i | 0.00663263 | − | 0.559496i | ||||
\(661\) | 11.1934 | − | 41.7744i | 0.435374 | − | 1.62484i | −0.304797 | − | 0.952417i | \(-0.598589\pi\) |
0.740171 | − | 0.672419i | \(-0.234745\pi\) | |||||||
\(662\) | 4.01197 | − | 9.52566i | 0.155930 | − | 0.370225i | ||||
\(663\) | 9.91899 | + | 5.72673i | 0.385221 | + | 0.222408i | ||||
\(664\) | 11.2142 | + | 28.4963i | 0.435196 | + | 1.10587i | ||||
\(665\) | 12.6732 | + | 5.42490i | 0.491446 | + | 0.210369i | ||||
\(666\) | 3.64327 | + | 4.80672i | 0.141174 | + | 0.186257i | ||||
\(667\) | 19.6874 | − | 5.27523i | 0.762301 | − | 0.204258i | ||||
\(668\) | 1.61840 | − | 0.413151i | 0.0626178 | − | 0.0159853i | ||||
\(669\) | −3.24379 | + | 12.1060i | −0.125412 | + | 0.468045i | ||||
\(670\) | 14.3439 | − | 18.4657i | 0.554154 | − | 0.713393i | ||||
\(671\) | −44.5613 | −1.72027 | ||||||||
\(672\) | −3.27205 | − | 14.6046i | −0.126222 | − | 0.563384i | ||||
\(673\) | −4.07285 | −0.156997 | −0.0784985 | − | 0.996914i | \(-0.525013\pi\) | ||||
−0.0784985 | + | 0.996914i | \(0.525013\pi\) | |||||||
\(674\) | 4.63654 | − | 5.96887i | 0.178593 | − | 0.229912i | ||||
\(675\) | −0.358676 | + | 1.33860i | −0.0138055 | + | 0.0515227i | ||||
\(676\) | −10.1560 | + | 2.59266i | −0.390616 | + | 0.0997178i | ||||
\(677\) | 27.5724 | − | 7.38801i | 1.05969 | − | 0.283944i | 0.313442 | − | 0.949607i | \(-0.398518\pi\) |
0.746253 | + | 0.665663i | \(0.231851\pi\) | |||||||
\(678\) | −16.7381 | − | 22.0833i | −0.642822 | − | 0.848103i | ||||
\(679\) | −35.5612 | + | 26.6285i | −1.36472 | + | 1.02191i | ||||
\(680\) | 13.4183 | − | 5.28053i | 0.514569 | − | 0.202499i | ||||
\(681\) | 19.4475 | + | 11.2280i | 0.745231 | + | 0.430259i | ||||
\(682\) | −9.01998 | + | 21.4162i | −0.345393 | + | 0.820070i | ||||
\(683\) | 0.570383 | − | 2.12870i | 0.0218251 | − | 0.0814524i | −0.954154 | − | 0.299315i | \(-0.903242\pi\) |
0.975979 | + | 0.217863i | \(0.0699085\pi\) | |||||||
\(684\) | 0.0649765 | − | 5.48110i | 0.00248444 | − | 0.209575i | ||||
\(685\) | −25.1786 | + | 25.1786i | −0.962024 | + | 0.962024i | ||||
\(686\) | −7.81541 | + | 24.9984i | −0.298394 | + | 0.954443i | ||||
\(687\) | − | 11.0937i | − | 0.423253i | ||||||
\(688\) | 10.1570 | + | 2.98135i | 0.387232 | + | 0.113663i | ||||
\(689\) | −8.26450 | + | 4.77151i | −0.314852 | + | 0.181780i | ||||
\(690\) | −9.98508 | + | 4.06679i | −0.380126 | + | 0.154820i | ||||
\(691\) | 4.26440 | − | 1.14264i | 0.162225 | − | 0.0434681i | −0.176792 | − | 0.984248i | \(-0.556572\pi\) |
0.339018 | + | 0.940780i | \(0.389905\pi\) | |||||||
\(692\) | 0.744775 | − | 0.418304i | 0.0283121 | − | 0.0159015i | ||||
\(693\) | 9.90101 | + | 1.42214i | 0.376108 | + | 0.0540228i | ||||
\(694\) | 6.79864 | + | 8.96975i | 0.258073 | + | 0.340487i | ||||
\(695\) | −7.94108 | + | 13.7544i | −0.301222 | + | 0.521733i | ||||
\(696\) | −14.2839 | + | 1.62270i | −0.541430 | + | 0.0615084i | ||||
\(697\) | 19.2914 | − | 11.1379i | 0.730715 | − | 0.421879i | ||||
\(698\) | 1.44775 | + | 11.5242i | 0.0547981 | + | 0.436196i | ||||
\(699\) | 7.72144 | − | 7.72144i | 0.292052 | − | 0.292052i | ||||
\(700\) | 1.12856 | − | 7.24570i | 0.0426557 | − | 0.273862i | ||||
\(701\) | 5.43390 | + | 5.43390i | 0.205236 | + | 0.205236i | 0.802239 | − | 0.597003i | \(-0.203642\pi\) |
−0.597003 | + | 0.802239i | \(0.703642\pi\) | |||||||
\(702\) | 4.76998 | + | 3.70526i | 0.180031 | + | 0.139846i | ||||
\(703\) | −5.84444 | − | 10.1229i | −0.220427 | − | 0.381791i | ||||
\(704\) | 26.7141 | − | 14.1817i | 1.00683 | − | 0.534493i | ||||
\(705\) | −2.18603 | − | 1.26210i | −0.0823306 | − | 0.0475336i | ||||
\(706\) | 1.45191 | − | 10.5450i | 0.0546435 | − | 0.396867i | ||||
\(707\) | 35.3556 | − | 14.1599i | 1.32968 | − | 0.532539i | ||||
\(708\) | −16.7875 | − | 4.71218i | −0.630914 | − | 0.177095i | ||||
\(709\) | 1.60000 | + | 5.97128i | 0.0600893 | + | 0.224256i | 0.989440 | − | 0.144941i | \(-0.0462993\pi\) |
−0.929351 | + | 0.369197i | \(0.879633\pi\) | |||||||
\(710\) | −8.18808 | + | 19.4411i | −0.307293 | + | 0.729610i | ||||
\(711\) | −5.50338 | − | 9.53213i | −0.206393 | − | 0.357483i | ||||
\(712\) | 6.73824 | − | 4.98262i | 0.252526 | − | 0.186731i | ||||
\(713\) | 17.4294 | 0.652735 | ||||||||
\(714\) | 2.42518 | + | 9.73660i | 0.0907601 | + | 0.364383i | ||||
\(715\) | −21.7059 | − | 21.7059i | −0.811754 | − | 0.811754i | ||||
\(716\) | 0.297937 | − | 25.1325i | 0.0111344 | − | 0.939246i | ||||
\(717\) | 20.5351 | + | 5.50237i | 0.766898 | + | 0.205490i | ||||
\(718\) | −10.4174 | − | 25.5776i | −0.388775 | − | 0.954549i | ||||
\(719\) | −7.31010 | + | 12.6615i | −0.272621 | + | 0.472193i | −0.969532 | − | 0.244964i | \(-0.921224\pi\) |
0.696911 | + | 0.717157i | \(0.254557\pi\) | |||||||
\(720\) | 7.38988 | − | 1.79348i | 0.275405 | − | 0.0668392i | ||||
\(721\) | 3.32552 | + | 27.7808i | 0.123849 | + | 1.03461i | ||||
\(722\) | 2.21609 | − | 16.0951i | 0.0824742 | − | 0.598997i | ||||
\(723\) | −5.40345 | − | 20.1660i | −0.200956 | − | 0.749980i | ||||
\(724\) | −22.7403 | + | 38.3308i | −0.845137 | + | 1.42455i | ||||
\(725\) | −6.80357 | − | 1.82301i | −0.252678 | − | 0.0677049i | ||||
\(726\) | 0.580522 | + | 4.62098i | 0.0215452 | + | 0.171501i | ||||
\(727\) | − | 53.0697i | − | 1.96825i | −0.177484 | − | 0.984124i | \(-0.556796\pi\) | ||
0.177484 | − | 0.984124i | \(-0.443204\pi\) | |||||||
\(728\) | −27.1947 | − | 16.7910i | −1.00790 | − | 0.622314i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | 28.9731 | − | 3.63982i | 1.07234 | − | 0.134716i | ||||
\(731\) | −6.85504 | − | 1.83680i | −0.253543 | − | 0.0679366i | ||||
\(732\) | −5.83091 | − | 22.8409i | −0.215517 | − | 0.844224i | ||||
\(733\) | 3.20959 | + | 11.9783i | 0.118549 | + | 0.442430i | 0.999528 | − | 0.0307251i | \(-0.00978163\pi\) |
−0.880979 | + | 0.473155i | \(0.843115\pi\) | |||||||
\(734\) | 7.77038 | + | 1.06988i | 0.286810 | + | 0.0394900i | ||||
\(735\) | −12.7697 | − | 3.74566i | −0.471017 | − | 0.138161i | ||||
\(736\) | −17.5799 | − | 14.3368i | −0.648005 | − | 0.528462i | ||||
\(737\) | −16.4400 | + | 28.4749i | −0.605575 | + | 1.04889i | ||||
\(738\) | 10.8795 | − | 4.43106i | 0.400479 | − | 0.163110i | ||||
\(739\) | −27.7547 | − | 7.43684i | −1.02097 | − | 0.273568i | −0.290765 | − | 0.956795i | \(-0.593910\pi\) |
−0.730207 | + | 0.683226i | \(0.760576\pi\) | |||||||
\(740\) | 11.6014 | − | 11.3296i | 0.426477 | − | 0.416484i | ||||
\(741\) | −8.27706 | − | 8.27706i | −0.304065 | − | 0.304065i | ||||
\(742\) | −8.03600 | − | 2.30633i | −0.295011 | − | 0.0846679i | ||||
\(743\) | −9.96033 | −0.365409 | −0.182705 | − | 0.983168i | \(-0.558485\pi\) | ||||
−0.182705 | + | 0.983168i | \(0.558485\pi\) | |||||||
\(744\) | −12.1577 | − | 1.82105i | −0.445721 | − | 0.0667629i | ||||
\(745\) | 10.2153 | + | 17.6934i | 0.374259 | + | 0.648235i | ||||
\(746\) | 24.9018 | + | 10.4880i | 0.911720 | + | 0.383994i | ||||
\(747\) | −2.80225 | − | 10.4581i | −0.102529 | − | 0.382643i | ||||
\(748\) | −17.6796 | + | 9.92975i | −0.646428 | + | 0.363068i | ||||
\(749\) | 22.2646 | + | 17.5041i | 0.813533 | + | 0.639586i | ||||
\(750\) | 17.0082 | + | 2.34181i | 0.621052 | + | 0.0855108i | ||||
\(751\) | −26.0657 | − | 15.0491i | −0.951152 | − | 0.549148i | −0.0577137 | − | 0.998333i | \(-0.518381\pi\) |
−0.893439 | + | 0.449185i | \(0.851714\pi\) | |||||||
\(752\) | 0.125903 | − | 5.30955i | 0.00459122 | − | 0.193620i | ||||
\(753\) | −9.48043 | − | 16.4206i | −0.345486 | − | 0.598400i | ||||
\(754\) | −18.8324 | + | 24.2440i | −0.685835 | + | 0.882913i | ||||
\(755\) | 30.8153 | + | 30.8153i | 1.12148 | + | 1.12148i | ||||
\(756\) | 0.566609 | + | 5.26108i | 0.0206074 | + | 0.191344i | ||||
\(757\) | −8.41295 | + | 8.41295i | −0.305774 | + | 0.305774i | −0.843268 | − | 0.537494i | \(-0.819371\pi\) |
0.537494 | + | 0.843268i | \(0.319371\pi\) | |||||||
\(758\) | 2.47225 | − | 0.310582i | 0.0897962 | − | 0.0112809i | ||||
\(759\) | 13.1297 | − | 7.58043i | 0.476578 | − | 0.275152i | ||||
\(760\) | −14.6431 | + | 1.66351i | −0.531162 | + | 0.0603419i | ||||
\(761\) | 13.3494 | − | 23.1219i | 0.483917 | − | 0.838169i | −0.515912 | − | 0.856641i | \(-0.672547\pi\) |
0.999829 | + | 0.0184725i | \(0.00588032\pi\) | |||||||
\(762\) | 23.3672 | − | 17.7112i | 0.846505 | − | 0.641610i | ||||
\(763\) | 18.7779 | − | 7.52055i | 0.679804 | − | 0.272262i | ||||
\(764\) | 12.9995 | − | 46.3118i | 0.470306 | − | 1.67550i | ||||
\(765\) | −4.92451 | + | 1.31952i | −0.178046 | + | 0.0477073i | ||||
\(766\) | 0.861463 | + | 2.11513i | 0.0311259 | + | 0.0764227i | ||||
\(767\) | −32.2462 | + | 18.6173i | −1.16434 | + | 0.672233i | ||||
\(768\) | 10.7647 | + | 11.8372i | 0.388439 | + | 0.427140i | ||||
\(769\) | − | 34.9014i | − | 1.25858i | −0.777171 | − | 0.629289i | \(-0.783346\pi\) | ||
0.777171 | − | 0.629289i | \(-0.216654\pi\) | |||||||
\(770\) | 0.475651 | − | 26.8885i | 0.0171413 | − | 0.968993i | ||||
\(771\) | 6.49531 | − | 6.49531i | 0.233923 | − | 0.233923i | ||||
\(772\) | 13.7678 | − | 13.4452i | 0.495514 | − | 0.483903i | ||||
\(773\) | −1.57154 | + | 5.86506i | −0.0565243 | + | 0.210951i | −0.988412 | − | 0.151796i | \(-0.951494\pi\) |
0.931888 | + | 0.362747i | \(0.118161\pi\) | |||||||
\(774\) | −3.44911 | − | 1.45268i | −0.123976 | − | 0.0522155i | ||||
\(775\) | −5.21627 | − | 3.01162i | −0.187374 | − | 0.108180i | ||||
\(776\) | 18.9523 | − | 43.5482i | 0.680347 | − | 1.56329i | ||||
\(777\) | 6.76335 | + | 9.03216i | 0.242634 | + | 0.324027i | ||||
\(778\) | 22.8662 | − | 17.3315i | 0.819793 | − | 0.621364i | ||||
\(779\) | −21.9904 | + | 5.89230i | −0.787886 | + | 0.211113i | ||||
\(780\) | 8.28560 | − | 13.9661i | 0.296672 | − | 0.500066i | ||||
\(781\) | 7.67752 | − | 28.6529i | 0.274723 | − | 1.02528i | ||||
\(782\) | 12.0107 | + | 9.32973i | 0.429501 | + | 0.333631i | ||||
\(783\) | 5.08261 | 0.181638 | ||||||||
\(784\) | −5.96195 | − | 27.3579i | −0.212927 | − | 0.977068i | ||||
\(785\) | 24.8447 | 0.886746 | ||||||||
\(786\) | −7.95913 | − | 6.18255i | −0.283893 | − | 0.220524i | ||||
\(787\) | −3.03760 | + | 11.3365i | −0.108279 | + | 0.404102i | −0.998696 | − | 0.0510424i | \(-0.983746\pi\) |
0.890418 | + | 0.455144i | \(0.150412\pi\) | |||||||
\(788\) | 30.4492 | + | 18.0645i | 1.08471 | + | 0.643520i | ||||
\(789\) | −11.8589 | + | 3.17757i | −0.422186 | + | 0.113125i | ||||
\(790\) | −23.5835 | + | 17.8752i | −0.839065 | + | 0.635972i | ||||
\(791\) | −31.0725 | − | 41.4960i | −1.10481 | − | 1.47543i | ||||
\(792\) | −9.95048 | + | 3.91583i | −0.353575 | + | 0.139143i | ||||
\(793\) | −43.5959 | − | 25.1701i | −1.54814 | − | 0.893817i | ||||
\(794\) | −16.4072 | − | 6.91031i | −0.582271 | − | 0.245238i | ||||
\(795\) | 1.09942 | − | 4.10310i | 0.0389925 | − | 0.145522i | ||||
\(796\) | −10.6150 | − | 10.8697i | −0.376238 | − | 0.385265i | ||||
\(797\) | −15.8036 | + | 15.8036i | −0.559791 | + | 0.559791i | −0.929248 | − | 0.369457i | \(-0.879544\pi\) |
0.369457 | + | 0.929248i | \(0.379544\pi\) | |||||||
\(798\) | 0.181379 | − | 10.2533i | 0.00642075 | − | 0.362964i | ||||
\(799\) | 3.56069i | 0.125968i | ||||||||
\(800\) | 2.78408 | + | 7.32835i | 0.0984320 | + | 0.259096i | ||||
\(801\) | −2.56595 | + | 1.48145i | −0.0906634 | + | 0.0523445i | ||||
\(802\) | 13.8634 | + | 34.0385i | 0.489535 | + | 1.20194i | ||||
\(803\) | −39.6629 | + | 10.6276i | −1.39967 | + | 0.375041i | ||||
\(804\) | −16.7467 | − | 4.70071i | −0.590609 | − | 0.165781i | ||||
\(805\) | −18.7244 | + | 7.49916i | −0.659950 | + | 0.264311i | ||||
\(806\) | −20.9214 | + | 15.8574i | −0.736924 | + | 0.558554i | ||||
\(807\) | −9.11022 | + | 15.7794i | −0.320695 | + | 0.555460i | ||||
\(808\) | −25.3563 | + | 31.8558i | −0.892032 | + | 1.12068i | ||||
\(809\) | 37.7295 | − | 21.7832i | 1.32650 | − | 0.765855i | 0.341744 | − | 0.939793i | \(-0.388983\pi\) |
0.984757 | + | 0.173938i | \(0.0556492\pi\) | |||||||
\(810\) | −2.66759 | + | 0.335123i | −0.0937297 | + | 0.0117750i | ||||
\(811\) | 7.37353 | − | 7.37353i | 0.258920 | − | 0.258920i | −0.565695 | − | 0.824615i | \(-0.691392\pi\) |
0.824615 | + | 0.565695i | \(0.191392\pi\) | |||||||
\(812\) | −26.7400 | + | 2.87985i | −0.938390 | + | 0.101063i | ||||
\(813\) | −3.71644 | − | 3.71644i | −0.130341 | − | 0.130341i | ||||
\(814\) | −13.9883 | + | 18.0079i | −0.490290 | + | 0.631177i | ||||
\(815\) | −18.5406 | − | 32.1133i | −0.649449 | − | 1.12488i | ||||
\(816\) | −7.40312 | − | 7.76274i | −0.259161 | − | 0.271750i | ||||
\(817\) | 6.28133 | + | 3.62653i | 0.219756 | + | 0.126876i | ||||
\(818\) | −29.9273 | − | 4.12060i | −1.04638 | − | 0.144073i | ||||
\(819\) | 8.88323 | + | 6.98385i | 0.310405 | + | 0.244036i | ||||
\(820\) | −15.4662 | − | 27.5370i | −0.540104 | − | 0.961635i | ||||
\(821\) | 7.16319 | + | 26.7334i | 0.249997 | + | 0.933002i | 0.970806 | + | 0.239868i | \(0.0771041\pi\) |
−0.720808 | + | 0.693134i | \(0.756229\pi\) | |||||||
\(822\) | 24.4116 | + | 10.2816i | 0.851453 | + | 0.358610i | ||||
\(823\) | 1.58236 | + | 2.74074i | 0.0551578 | + | 0.0955360i | 0.892286 | − | 0.451471i | \(-0.149100\pi\) |
−0.837128 | + | 0.547007i | \(0.815767\pi\) | |||||||
\(824\) | −17.7838 | − | 24.0499i | −0.619528 | − | 0.837819i | ||||
\(825\) | −5.23928 | −0.182408 | ||||||||
\(826\) | −31.3546 | − | 8.99876i | −1.09097 | − | 0.313107i | ||||
\(827\) | −1.69281 | − | 1.69281i | −0.0588646 | − | 0.0588646i | 0.677062 | − | 0.735926i | \(-0.263253\pi\) |
−0.735926 | + | 0.677062i | \(0.763253\pi\) | |||||||
\(828\) | 5.60356 | + | 5.73801i | 0.194737 | + | 0.199410i | ||||
\(829\) | −41.8742 | − | 11.2202i | −1.45435 | − | 0.389692i | −0.556817 | − | 0.830635i | \(-0.687977\pi\) |
−0.897535 | + | 0.440943i | \(0.854644\pi\) | |||||||
\(830\) | −26.9589 | + | 10.9800i | −0.935758 | + | 0.381122i | ||||
\(831\) | 5.46573 | − | 9.46692i | 0.189604 | − | 0.328404i | ||||
\(832\) | 34.1459 | + | 1.21482i | 1.18379 | + | 0.0421161i | ||||
\(833\) | 4.43076 | + | 18.2417i | 0.153517 | + | 0.632037i | ||||
\(834\) | 11.7042 | + | 1.61152i | 0.405283 | + | 0.0558023i | ||||
\(835\) | 0.410929 | + | 1.53361i | 0.0142208 | + | 0.0530726i | ||||
\(836\) | 20.0795 | − | 5.12598i | 0.694466 | − | 0.177286i | ||||
\(837\) | 4.19824 | + | 1.12491i | 0.145112 | + | 0.0388827i | ||||
\(838\) | −12.2917 | + | 1.54417i | −0.424608 | + | 0.0533424i | ||||
\(839\) | 22.3677i | 0.772218i | 0.922453 | + | 0.386109i | \(0.126181\pi\) | ||||
−0.922453 | + | 0.386109i | \(0.873819\pi\) | |||||||
\(840\) | 13.8445 | − | 3.27459i | 0.477682 | − | 0.112984i | ||||
\(841\) | − | 3.16710i | − | 0.109210i | ||||||
\(842\) | 6.38539 | + | 50.8280i | 0.220055 | + | 1.75165i | ||||
\(843\) | −20.5026 | − | 5.49366i | −0.706148 | − | 0.189212i | ||||
\(844\) | 31.3566 | + | 18.6028i | 1.07934 | + | 0.640334i | ||||
\(845\) | −2.57872 | − | 9.62390i | −0.0887106 | − | 0.331072i | ||||
\(846\) | −0.256124 | + | 1.86019i | −0.00880572 | + | 0.0639546i | ||||
\(847\) | 1.03560 | + | 8.65125i | 0.0355838 | + | 0.297261i | ||||
\(848\) | 8.68552 | − | 2.10793i | 0.298262 | − | 0.0723866i | ||||
\(849\) | −11.3201 | + | 19.6069i | −0.388503 | + | 0.672907i | ||||
\(850\) | −1.98248 | − | 4.86753i | −0.0679984 | − | 0.166955i | ||||
\(851\) | 16.5199 | + | 4.42649i | 0.566294 | + | 0.151738i | ||||
\(852\) | 15.6913 | + | 0.186015i | 0.537575 | + | 0.00637276i | ||||
\(853\) | −9.55404 | − | 9.55404i | −0.327124 | − | 0.327124i | 0.524368 | − | 0.851492i | \(-0.324302\pi\) |
−0.851492 | + | 0.524368i | \(0.824302\pi\) | |||||||
\(854\) | −10.6592 | − | 42.7943i | −0.364749 | − | 1.46439i | ||||
\(855\) | 5.21043 | 0.178193 | ||||||||
\(856\) | −29.9429 | − | 4.48504i | −1.02343 | − | 0.153295i | ||||
\(857\) | 1.92890 | + | 3.34096i | 0.0658900 | + | 0.114125i | 0.897088 | − | 0.441851i | \(-0.145678\pi\) |
−0.831198 | + | 0.555976i | \(0.812345\pi\) | |||||||
\(858\) | −8.86349 | + | 21.0447i | −0.302595 | + | 0.718454i | ||||
\(859\) | 7.39179 | + | 27.5865i | 0.252205 | + | 0.941241i | 0.969624 | + | 0.244599i | \(0.0786564\pi\) |
−0.717420 | + | 0.696641i | \(0.754677\pi\) | |||||||
\(860\) | −2.71928 | + | 9.68766i | −0.0927267 | + | 0.330346i | ||||
\(861\) | 20.4016 | − | 8.17087i | 0.695286 | − | 0.278463i | ||||
\(862\) | −2.19355 | + | 15.9314i | −0.0747127 | + | 0.542627i | ||||
\(863\) | 17.9582 | + | 10.3682i | 0.611303 | + | 0.352936i | 0.773475 | − | 0.633827i | \(-0.218517\pi\) |
−0.162172 | + | 0.986762i | \(0.551850\pi\) | |||||||
\(864\) | −3.30918 | − | 4.58795i | −0.112581 | − | 0.156085i | ||||
\(865\) | 0.405983 | + | 0.703183i | 0.0138038 | + | 0.0239089i | ||||
\(866\) | −15.3172 | − | 11.8982i | −0.520499 | − | 0.404317i | ||||
\(867\) | −6.93556 | − | 6.93556i | −0.235544 | − | 0.235544i | ||||
\(868\) | −22.7246 | − | 3.53950i | −0.771324 | − | 0.120139i | ||||
\(869\) | 29.4245 | − | 29.4245i | 0.998158 | − | 0.998158i | ||||
\(870\) | −1.70330 | − | 13.5583i | −0.0577472 | − | 0.459670i | ||||
\(871\) | −32.1677 | + | 18.5720i | −1.08996 | + | 0.629289i | ||||
\(872\) | −13.4671 | + | 16.9191i | −0.456054 | + | 0.572953i | ||||
\(873\) | −8.39575 | + | 14.5419i | −0.284153 | + | 0.492168i | ||||
\(874\) | −9.38889 | − | 12.3872i | −0.317584 | − | 0.419002i | ||||
\(875\) | 31.7933 | + | 4.56668i | 1.07481 | + | 0.154382i | ||||
\(876\) | −10.6374 | − | 18.9395i | −0.359404 | − | 0.639906i | ||||
\(877\) | 51.6345 | − | 13.8354i | 1.74357 | − | 0.467189i | 0.760336 | − | 0.649530i | \(-0.225034\pi\) |
0.983235 | + | 0.182341i | \(0.0583675\pi\) | |||||||
\(878\) | −27.0272 | + | 11.0078i | −0.912122 | + | 0.371495i | ||||
\(879\) | 6.08838 | − | 3.51513i | 0.205356 | − | 0.118562i | ||||
\(880\) | 13.7805 | + | 25.2315i | 0.464540 | + | 0.850555i | ||||
\(881\) | − | 32.3996i | − | 1.09157i | −0.837925 | − | 0.545786i | \(-0.816231\pi\) | ||
0.837925 | − | 0.545786i | \(-0.183769\pi\) | |||||||
\(882\) | 1.00259 | + | 9.84859i | 0.0337590 | + | 0.331619i | ||||
\(883\) | −22.6494 | + | 22.6494i | −0.762213 | + | 0.762213i | −0.976722 | − | 0.214509i | \(-0.931185\pi\) |
0.214509 | + | 0.976722i | \(0.431185\pi\) | |||||||
\(884\) | −22.9053 | − | 0.271534i | −0.770389 | − | 0.00913268i | ||||
\(885\) | 4.28969 | − | 16.0094i | 0.144196 | − | 0.538149i | ||||
\(886\) | −21.8982 | + | 51.9933i | −0.735686 | + | 1.74675i | ||||
\(887\) | 18.2563 | + | 10.5403i | 0.612985 | + | 0.353907i | 0.774133 | − | 0.633023i | \(-0.218186\pi\) |
−0.161148 | + | 0.986930i | \(0.551520\pi\) | |||||||
\(888\) | −11.0608 | − | 4.81367i | −0.371175 | − | 0.161536i | ||||
\(889\) | 43.9086 | − | 32.8791i | 1.47265 | − | 1.10273i | ||||
\(890\) | 4.81182 | + | 6.34844i | 0.161293 | + | 0.212800i | ||||
\(891\) | 3.65181 | − | 0.978501i | 0.122340 | − | 0.0327810i | ||||
\(892\) | −6.20013 | − | 24.2872i | −0.207596 | − | 0.813196i | ||||
\(893\) | 0.941857 | − | 3.51506i | 0.0315180 | − | 0.117627i | ||||
\(894\) | 9.32334 | − | 12.0024i | 0.311819 | − | 0.401422i | ||||
\(895\) | 23.8914 | 0.798601 | ||||||||
\(896\) | 20.0094 | + | 22.2626i | 0.668469 | + | 0.743740i | ||||
\(897\) | 17.1270 | 0.571854 | ||||||||
\(898\) | −3.07041 | + | 3.95271i | −0.102461 | + | 0.131904i | ||||
\(899\) | −5.71750 | + | 21.3380i | −0.190689 | + | 0.711662i | ||||
\(900\) | −0.685567 | − | 2.68551i | −0.0228522 | − | 0.0895171i | ||||
\(901\) | −5.78790 | + | 1.55086i | −0.192823 | + | 0.0516668i | ||||
\(902\) | 26.8270 | + | 35.3940i | 0.893241 | + | 1.17849i | ||||
\(903\) | −6.43674 | − | 2.75531i | −0.214201 | − | 0.0916911i | ||||
\(904\) | 50.8159 | + | 22.1152i | 1.69011 | + | 0.735540i | ||||
\(905\) | −36.6890 | − | 21.1824i | −1.21958 | − | 0.704127i | ||||
\(906\) | 12.5833 | − | 29.8766i | 0.418051 | − | 0.992583i | ||||
\(907\) | 8.19965 | − | 30.6015i | 0.272265 | − | 1.01611i | −0.685387 | − | 0.728179i | \(-0.740367\pi\) |
0.957652 | − | 0.287927i | \(-0.0929662\pi\) | |||||||
\(908\) | −44.9090 | − | 0.532380i | −1.49036 | − | 0.0176676i | ||||
\(909\) | 10.1788 | − | 10.1788i | 0.337610 | − | 0.337610i | ||||
\(910\) | 15.6531 | − | 26.0373i | 0.518895 | − | 0.863128i | ||||
\(911\) | 18.7618i | 0.621607i | 0.950474 | + | 0.310804i | \(0.100598\pi\) | ||||
−0.950474 | + | 0.310804i | \(0.899402\pi\) | |||||||
\(912\) | 5.25488 | + | 9.62149i | 0.174006 | + | 0.318599i | ||||
\(913\) | 35.4491 | − | 20.4666i | 1.17319 | − | 0.677344i | ||||
\(914\) | −22.4550 | + | 9.14563i | −0.742746 | + | 0.302510i | ||||
\(915\) | 21.6442 | − | 5.79954i | 0.715535 | − | 0.191727i | ||||
\(916\) | 10.8652 | + | 19.3451i | 0.358996 | + | 0.639179i | ||||
\(917\) | −14.8224 | − | 11.6532i | −0.489480 | − | 0.384821i | ||||
\(918\) | 2.29087 | + | 3.02245i | 0.0756100 | + | 0.0997556i | ||||
\(919\) | 13.7213 | − | 23.7659i | 0.452623 | − | 0.783965i | −0.545925 | − | 0.837834i | \(-0.683822\pi\) |
0.998548 | + | 0.0538685i | \(0.0171552\pi\) | |||||||
\(920\) | 13.4288 | − | 16.8710i | 0.442735 | − | 0.556219i | ||||
\(921\) | −6.23414 | + | 3.59928i | −0.205422 | + | 0.118600i | ||||
\(922\) | −2.32160 | − | 18.4800i | −0.0764578 | − | 0.608608i | ||||
\(923\) | 23.6956 | − | 23.6956i | 0.779949 | − | 0.779949i | ||||
\(924\) | −18.6581 | + | 7.21712i | −0.613805 | + | 0.237426i | ||||
\(925\) | −4.17923 | − | 4.17923i | −0.137412 | − | 0.137412i | ||||
\(926\) | 26.8450 | + | 20.8529i | 0.882182 | + | 0.685268i | ||||
\(927\) | 5.28755 | + | 9.15831i | 0.173666 | + | 0.300798i | ||||
\(928\) | 23.3188 | − | 16.8193i | 0.765476 | − | 0.552120i | ||||
\(929\) | −7.80122 | − | 4.50404i | −0.255950 | − | 0.147773i | 0.366536 | − | 0.930404i | \(-0.380544\pi\) |
−0.622486 | + | 0.782631i | \(0.713877\pi\) | |||||||
\(930\) | 1.59389 | − | 11.5762i | 0.0522657 | − | 0.379598i | ||||
\(931\) | 0.451229 | − | 19.1799i | 0.0147884 | − | 0.628596i | ||||
\(932\) | −5.90215 | + | 21.0269i | −0.193331 | + | 0.688759i | ||||
\(933\) | 5.51529 | + | 20.5833i | 0.180562 | + | 0.673868i | ||||
\(934\) | 19.2257 | − | 45.6477i | 0.629083 | − | 1.49364i | ||||
\(935\) | −9.63727 | − | 16.6922i | −0.315172 | − | 0.545894i | ||||
\(936\) | −11.9467 | − | 1.78946i | −0.390492 | − | 0.0584902i | ||||
\(937\) | 39.7018 | 1.29700 | 0.648501 | − | 0.761214i | \(-0.275396\pi\) | ||||
0.648501 | + | 0.761214i | \(0.275396\pi\) | |||||||
\(938\) | −31.2783 | − | 8.97685i | −1.02127 | − | 0.293105i | ||||
\(939\) | 5.99014 | + | 5.99014i | 0.195481 | + | 0.195481i | ||||
\(940\) | 5.04806 | + | 0.0598429i | 0.164650 | + | 0.00195186i | ||||
\(941\) | 10.8164 | + | 2.89825i | 0.352605 | + | 0.0944802i | 0.430774 | − | 0.902460i | \(-0.358241\pi\) |
−0.0781689 | + | 0.996940i | \(0.524907\pi\) | |||||||
\(942\) | −6.97135 | − | 17.1166i | −0.227139 | − | 0.557688i | ||||
\(943\) | 16.6552 | − | 28.8476i | 0.542367 | − | 0.939407i | ||||
\(944\) | 33.8889 | − | 8.22465i | 1.10299 | − | 0.267690i | ||||
\(945\) | −4.99418 | + | 0.597832i | −0.162461 | + | 0.0194475i | ||||
\(946\) | 1.92996 | − | 14.0170i | 0.0627483 | − | 0.455731i | ||||
\(947\) | 3.89456 | + | 14.5347i | 0.126556 | + | 0.472315i | 0.999890 | − | 0.0148072i | \(-0.00471344\pi\) |
−0.873334 | + | 0.487122i | \(0.838047\pi\) | |||||||
\(948\) | 18.9325 | + | 11.2320i | 0.614898 | + | 0.364797i | ||||
\(949\) | −44.8066 | − | 12.0059i | −1.45448 | − | 0.389728i | ||||
\(950\) | 0.669536 | + | 5.32954i | 0.0217226 | + | 0.172913i | ||||
\(951\) | 4.17998i | 0.135545i | ||||||||
\(952\) | −13.7650 | − | 14.6033i | −0.446126 | − | 0.473296i | ||||
\(953\) | 16.5032i | 0.534592i | 0.963615 | + | 0.267296i | \(0.0861301\pi\) | ||||
−0.963615 | + | 0.267296i | \(0.913870\pi\) | |||||||
\(954\) | −3.13529 | + | 0.393879i | −0.101509 | + | 0.0127523i | ||||
\(955\) | 44.1651 | + | 11.8340i | 1.42915 | + | 0.382939i | ||||
\(956\) | −41.1978 | + | 10.5171i | −1.33243 | + | 0.340148i | ||||
\(957\) | 4.97334 | + | 18.5607i | 0.160765 | + | 0.599983i | ||||
\(958\) | −0.981752 | − | 0.135175i | −0.0317190 | − | 0.00436729i | ||||
\(959\) | 45.5569 | + | 19.5011i | 1.47111 | + | 0.629724i | ||||
\(960\) | −11.1298 | + | 10.3651i | −0.359213 | + | 0.334532i | ||||
\(961\) | 6.05469 | − | 10.4870i | 0.195313 | − | 0.338292i | ||||
\(962\) | −23.8569 | + | 9.71660i | −0.769178 | + | 0.313276i | ||||
\(963\) | 10.3398 | + | 2.77054i | 0.333195 | + | 0.0892793i | ||||
\(964\) | 29.1729 | + | 29.8729i | 0.939597 | + | 0.962142i | ||||
\(965\) | 12.9346 | + | 12.9346i | 0.416378 | + | 0.416378i | ||||
\(966\) | 10.4205 | + | 10.7958i | 0.335274 | + | 0.347350i | ||||
\(967\) | 19.0053 | 0.611169 | 0.305584 | − | 0.952165i | \(-0.401148\pi\) | ||||
0.305584 | + | 0.952165i | \(0.401148\pi\) | |||||||
\(968\) | −5.53809 | − | 7.48943i | −0.178001 | − | 0.240719i | ||||
\(969\) | −3.67496 | − | 6.36521i | −0.118057 | − | 0.204480i | ||||
\(970\) | 41.6054 | + | 17.5231i | 1.33587 | + | 0.562634i | ||||
\(971\) | 14.0309 | + | 52.3642i | 0.450274 | + | 1.68045i | 0.701622 | + | 0.712549i | \(0.252459\pi\) |
−0.251348 | + | 0.967897i | \(0.580874\pi\) | |||||||
\(972\) | 0.979398 | + | 1.74378i | 0.0314142 | + | 0.0559319i | ||||
\(973\) | 21.8786 | + | 3.14256i | 0.701395 | + | 0.100746i | ||||
\(974\) | −36.6881 | − | 5.05148i | −1.17556 | − | 0.161860i | ||||
\(975\) | −5.12578 | − | 2.95937i | −0.164156 | − | 0.0947757i | ||||
\(976\) | 32.5382 | + | 34.1188i | 1.04152 | + | 1.09212i | ||||
\(977\) | −6.26502 | − | 10.8513i | −0.200436 | − | 0.347165i | 0.748233 | − | 0.663436i | \(-0.230902\pi\) |
−0.948669 | + | 0.316271i | \(0.897569\pi\) | |||||||
\(978\) | −16.9217 | + | 21.7843i | −0.541098 | + | 0.696584i | ||||
\(979\) | −7.92077 | − | 7.92077i | −0.253149 | − | 0.253149i | ||||
\(980\) | 25.9361 | − | 5.97499i | 0.828497 | − | 0.190864i | ||||
\(981\) | 5.40613 | − | 5.40613i | 0.172604 | − | 0.172604i | ||||
\(982\) | 23.3266 | − | 2.93046i | 0.744381 | − | 0.0935146i | ||||
\(983\) | 15.6097 | − | 9.01224i | 0.497871 | − | 0.287446i | −0.229963 | − | 0.973199i | \(-0.573861\pi\) |
0.727834 | + | 0.685754i | \(0.240527\pi\) | |||||||
\(984\) | −14.6317 | + | 18.3821i | −0.466440 | + | 0.586001i | ||||
\(985\) | −16.8269 | + | 29.1450i | −0.536149 | + | 0.928638i | ||||
\(986\) | −15.3619 | + | 11.6436i | −0.489223 | + | 0.370808i | ||||
\(987\) | −0.499458 | + | 3.47724i | −0.0158979 | + | 0.110682i | ||||
\(988\) | 22.5399 | + | 6.32686i | 0.717091 | + | 0.201284i | ||||
\(989\) | −10.2507 | + | 2.74668i | −0.325955 | + | 0.0873393i | ||||
\(990\) | −3.83405 | − | 9.41364i | −0.121854 | − | 0.299185i | ||||
\(991\) | 1.21788 | − | 0.703141i | 0.0386871 | − | 0.0223360i | −0.480532 | − | 0.876977i | \(-0.659556\pi\) |
0.519219 | + | 0.854641i | \(0.326223\pi\) | |||||||
\(992\) | 22.9839 | − | 8.73168i | 0.729738 | − | 0.277231i | ||||
\(993\) | − | 7.30870i | − | 0.231934i | ||||||
\(994\) | 29.3532 | + | 0.519252i | 0.931028 | + | 0.0164697i | ||||
\(995\) | 10.2118 | − | 10.2118i | 0.323737 | − | 0.323737i | ||||
\(996\) | 15.1292 | + | 15.4922i | 0.479386 | + | 0.490888i | ||||
\(997\) | 3.55295 | − | 13.2598i | 0.112523 | − | 0.419942i | −0.886567 | − | 0.462601i | \(-0.846916\pi\) |
0.999090 | + | 0.0426589i | \(0.0135829\pi\) | |||||||
\(998\) | 28.1694 | + | 11.8642i | 0.891687 | + | 0.375556i | ||||
\(999\) | 3.69347 | + | 2.13243i | 0.116856 | + | 0.0674670i |
(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 | 336.2.bs.a.19.12 | ✓ | 128 | |
7.3 | odd | 6 | inner | 336.2.bs.a.115.12 | yes | 128 | |
16.11 | odd | 4 | inner | 336.2.bs.a.187.12 | yes | 128 | |
112.59 | even | 12 | inner | 336.2.bs.a.283.12 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bs.a.19.12 | ✓ | 128 | 1.1 | even | 1 | trivial | |
336.2.bs.a.115.12 | yes | 128 | 7.3 | odd | 6 | inner | |
336.2.bs.a.187.12 | yes | 128 | 16.11 | odd | 4 | inner | |
336.2.bs.a.283.12 | yes | 128 | 112.59 | even | 12 | inner |