Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 131.69 | ||
Character | \(\chi\) | \(=\) | 648.131 |
Dual form | 648.2.bb.b.371.69 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{47}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.647790 | − | 1.25713i | 0.458056 | − | 0.888923i | ||||
\(3\) | 0.952970 | − | 1.44632i | 0.550198 | − | 0.835034i | ||||
\(4\) | −1.16074 | − | 1.62871i | −0.580369 | − | 0.814354i | ||||
\(5\) | −0.133242 | + | 2.28767i | −0.0595874 | + | 1.02308i | 0.827497 | + | 0.561470i | \(0.189764\pi\) |
−0.887085 | + | 0.461607i | \(0.847273\pi\) | |||||||
\(6\) | −1.20089 | − | 2.13492i | −0.490260 | − | 0.871576i | ||||
\(7\) | −0.141757 | − | 0.598121i | −0.0535792 | − | 0.226068i | 0.939668 | − | 0.342089i | \(-0.111134\pi\) |
−0.993247 | + | 0.116020i | \(0.962986\pi\) | |||||||
\(8\) | −2.79941 | + | 0.404135i | −0.989740 | + | 0.142883i | ||||
\(9\) | −1.18370 | − | 2.75660i | −0.394565 | − | 0.918868i | ||||
\(10\) | 2.78958 | + | 1.64943i | 0.882142 | + | 0.521595i | ||||
\(11\) | −2.30960 | − | 3.51157i | −0.696369 | − | 1.05878i | −0.994549 | − | 0.104268i | \(-0.966750\pi\) |
0.298180 | − | 0.954510i | \(-0.403620\pi\) | |||||||
\(12\) | −3.46178 | + | 0.126690i | −0.999331 | + | 0.0365723i | ||||
\(13\) | −0.356940 | − | 3.05381i | −0.0989973 | − | 0.846976i | −0.947931 | − | 0.318476i | \(-0.896829\pi\) |
0.848934 | − | 0.528500i | \(-0.177245\pi\) | |||||||
\(14\) | −0.843743 | − | 0.209249i | −0.225500 | − | 0.0559243i | ||||
\(15\) | 3.18173 | + | 2.37279i | 0.821519 | + | 0.612652i | ||||
\(16\) | −1.30538 | + | 3.78100i | −0.326344 | + | 0.945251i | ||||
\(17\) | 3.30398 | − | 3.93753i | 0.801333 | − | 0.954991i | −0.198351 | − | 0.980131i | \(-0.563559\pi\) |
0.999684 | + | 0.0251396i | \(0.00800304\pi\) | |||||||
\(18\) | −4.23219 | − | 0.297644i | −0.997536 | − | 0.0701553i | ||||
\(19\) | −3.42917 | + | 2.87742i | −0.786706 | + | 0.660125i | −0.944928 | − | 0.327279i | \(-0.893868\pi\) |
0.158221 | + | 0.987404i | \(0.449424\pi\) | |||||||
\(20\) | 3.88060 | − | 2.43837i | 0.867729 | − | 0.545236i | ||||
\(21\) | −1.00017 | − | 0.364965i | −0.218254 | − | 0.0796418i | ||||
\(22\) | −5.91062 | + | 0.628698i | −1.26015 | + | 0.134039i | ||||
\(23\) | −7.04830 | − | 1.67048i | −1.46967 | − | 0.348319i | −0.583667 | − | 0.811993i | \(-0.698382\pi\) |
−0.886005 | + | 0.463675i | \(0.846531\pi\) | |||||||
\(24\) | −2.08324 | + | 4.43397i | −0.425240 | + | 0.905081i | ||||
\(25\) | −0.249484 | − | 0.0291605i | −0.0498968 | − | 0.00583210i | ||||
\(26\) | −4.07026 | − | 1.52951i | −0.798243 | − | 0.299962i | ||||
\(27\) | −5.11496 | − | 0.914957i | −0.984375 | − | 0.176084i | ||||
\(28\) | −0.809621 | + | 0.925142i | −0.153004 | + | 0.174835i | ||||
\(29\) | 4.65878 | − | 6.25782i | 0.865113 | − | 1.16205i | −0.120447 | − | 0.992720i | \(-0.538433\pi\) |
0.985560 | − | 0.169329i | \(-0.0541600\pi\) | |||||||
\(30\) | 5.04399 | − | 2.46277i | 0.920903 | − | 0.449638i | ||||
\(31\) | 3.35485 | − | 1.00438i | 0.602549 | − | 0.180391i | 0.0290230 | − | 0.999579i | \(-0.490760\pi\) |
0.573526 | + | 0.819187i | \(0.305575\pi\) | |||||||
\(32\) | 3.90759 | + | 4.09032i | 0.690771 | + | 0.723073i | ||||
\(33\) | −7.27984 | − | 0.00600242i | −1.26726 | − | 0.00104489i | ||||
\(34\) | −2.80969 | − | 6.70421i | −0.481858 | − | 1.14976i | ||||
\(35\) | 1.38719 | − | 0.244599i | 0.234478 | − | 0.0413448i | ||||
\(36\) | −3.11574 | + | 5.12759i | −0.519290 | + | 0.854598i | ||||
\(37\) | 7.56916 | + | 1.33465i | 1.24436 | + | 0.219415i | 0.756784 | − | 0.653665i | \(-0.226769\pi\) |
0.487578 | + | 0.873079i | \(0.337880\pi\) | |||||||
\(38\) | 1.39590 | + | 6.17487i | 0.226445 | + | 1.00170i | ||||
\(39\) | −4.75695 | − | 2.39395i | −0.761722 | − | 0.383338i | ||||
\(40\) | −0.551530 | − | 6.45796i | −0.0872045 | − | 1.02109i | ||||
\(41\) | 4.42188 | + | 1.90741i | 0.690581 | + | 0.297888i | 0.712299 | − | 0.701876i | \(-0.247654\pi\) |
−0.0217173 | + | 0.999764i | \(0.506913\pi\) | |||||||
\(42\) | −1.10670 | + | 1.02091i | −0.170768 | + | 0.157531i | ||||
\(43\) | 6.11067 | + | 3.06889i | 0.931868 | + | 0.468002i | 0.848902 | − | 0.528551i | \(-0.177264\pi\) |
0.0829662 | + | 0.996552i | \(0.473561\pi\) | |||||||
\(44\) | −3.03849 | + | 7.83767i | −0.458069 | + | 1.18157i | ||||
\(45\) | 6.46391 | − | 2.34061i | 0.963584 | − | 0.348917i | ||||
\(46\) | −6.66582 | + | 7.77849i | −0.982821 | + | 1.14688i | ||||
\(47\) | −1.04863 | + | 3.50266i | −0.152958 | + | 0.510915i | −0.999780 | − | 0.0209608i | \(-0.993327\pi\) |
0.846822 | + | 0.531876i | \(0.178513\pi\) | |||||||
\(48\) | 4.22456 | + | 5.49118i | 0.609763 | + | 0.792584i | ||||
\(49\) | 5.91778 | − | 2.97202i | 0.845396 | − | 0.424574i | ||||
\(50\) | −0.198272 | + | 0.294743i | −0.0280399 | + | 0.0416830i | ||||
\(51\) | −2.54634 | − | 8.53097i | −0.356559 | − | 1.19457i | ||||
\(52\) | −4.55946 | + | 4.12603i | −0.632283 | + | 0.572177i | ||||
\(53\) | −1.52348 | + | 2.63874i | −0.209266 | + | 0.362459i | −0.951483 | − | 0.307700i | \(-0.900441\pi\) |
0.742218 | + | 0.670159i | \(0.233774\pi\) | |||||||
\(54\) | −4.46364 | + | 5.83746i | −0.607424 | + | 0.794378i | ||||
\(55\) | 8.34104 | − | 4.81570i | 1.12471 | − | 0.649349i | ||||
\(56\) | 0.638557 | + | 1.61709i | 0.0853308 | + | 0.216093i | ||||
\(57\) | 0.893773 | + | 7.70178i | 0.118383 | + | 1.02013i | ||||
\(58\) | −4.84897 | − | 9.91043i | −0.636701 | − | 1.30130i | ||||
\(59\) | −7.96843 | + | 12.1154i | −1.03740 | + | 1.57729i | −0.242879 | + | 0.970057i | \(0.578092\pi\) |
−0.794522 | + | 0.607235i | \(0.792279\pi\) | |||||||
\(60\) | 0.171428 | − | 7.93630i | 0.0221313 | − | 1.02457i | ||||
\(61\) | −3.52791 | + | 3.32841i | −0.451702 | + | 0.426159i | −0.878174 | − | 0.478342i | \(-0.841238\pi\) |
0.426472 | + | 0.904501i | \(0.359756\pi\) | |||||||
\(62\) | 0.910608 | − | 4.86810i | 0.115647 | − | 0.618249i | ||||
\(63\) | −1.48098 | + | 1.09876i | −0.186587 | + | 0.138431i | ||||
\(64\) | 7.67335 | − | 2.26268i | 0.959169 | − | 0.282834i | ||||
\(65\) | 7.03368 | − | 0.409665i | 0.872420 | − | 0.0508127i | ||||
\(66\) | −4.72335 | + | 9.14779i | −0.581404 | + | 1.12602i | ||||
\(67\) | −0.454730 | − | 0.610808i | −0.0555541 | − | 0.0746221i | 0.773478 | − | 0.633823i | \(-0.218515\pi\) |
−0.829032 | + | 0.559201i | \(0.811108\pi\) | |||||||
\(68\) | −10.2481 | − | 0.810779i | −1.24277 | − | 0.0983214i | ||||
\(69\) | −9.13287 | + | 8.60220i | −1.09947 | + | 1.03558i | ||||
\(70\) | 0.591115 | − | 1.90232i | 0.0706518 | − | 0.227371i | ||||
\(71\) | 5.34568 | − | 1.94567i | 0.634415 | − | 0.230908i | −0.00473679 | − | 0.999989i | \(-0.501508\pi\) |
0.639152 | + | 0.769081i | \(0.279286\pi\) | |||||||
\(72\) | 4.42768 | + | 7.23848i | 0.521808 | + | 0.853063i | ||||
\(73\) | 6.64301 | + | 2.41786i | 0.777506 | + | 0.282989i | 0.700132 | − | 0.714013i | \(-0.253124\pi\) |
0.0773736 | + | 0.997002i | \(0.475347\pi\) | |||||||
\(74\) | 6.58104 | − | 8.65083i | 0.765031 | − | 1.00564i | ||||
\(75\) | −0.279927 | + | 0.333045i | −0.0323231 | + | 0.0384568i | ||||
\(76\) | 8.66684 | + | 2.24519i | 0.994155 | + | 0.257541i | ||||
\(77\) | −1.77294 | + | 1.87921i | −0.202045 | + | 0.214156i | ||||
\(78\) | −6.09100 | + | 4.42932i | −0.689670 | + | 0.501522i | ||||
\(79\) | 12.3624 | − | 5.33260i | 1.39087 | − | 0.599965i | 0.436807 | − | 0.899555i | \(-0.356109\pi\) |
0.954068 | + | 0.299591i | \(0.0968501\pi\) | |||||||
\(80\) | −8.47575 | − | 3.49006i | −0.947618 | − | 0.390200i | ||||
\(81\) | −6.19773 | + | 6.52596i | −0.688637 | + | 0.725106i | ||||
\(82\) | 5.26231 | − | 4.32326i | 0.581125 | − | 0.477424i | ||||
\(83\) | 6.05040 | − | 2.60989i | 0.664117 | − | 0.286472i | −0.0372143 | − | 0.999307i | \(-0.511848\pi\) |
0.701332 | + | 0.712835i | \(0.252589\pi\) | |||||||
\(84\) | 0.566509 | + | 2.05261i | 0.0618112 | + | 0.223958i | ||||
\(85\) | 8.56754 | + | 8.08306i | 0.929280 | + | 0.876731i | ||||
\(86\) | 7.81641 | − | 5.69389i | 0.842866 | − | 0.613988i | ||||
\(87\) | −4.61115 | − | 12.7016i | −0.494367 | − | 1.36176i | ||||
\(88\) | 7.88465 | + | 8.89692i | 0.840506 | + | 0.948415i | ||||
\(89\) | −1.90299 | + | 5.22841i | −0.201716 | + | 0.554211i | −0.998764 | − | 0.0497056i | \(-0.984172\pi\) |
0.797048 | + | 0.603916i | \(0.206394\pi\) | |||||||
\(90\) | 1.24481 | − | 9.64218i | 0.131215 | − | 1.01638i | ||||
\(91\) | −1.77595 | + | 0.646393i | −0.186170 | + | 0.0677604i | ||||
\(92\) | 5.46051 | + | 13.4186i | 0.569297 | + | 1.39899i | ||||
\(93\) | 1.74442 | − | 5.80933i | 0.180888 | − | 0.602400i | ||||
\(94\) | 3.72399 | + | 3.58724i | 0.384101 | + | 0.369996i | ||||
\(95\) | −6.12567 | − | 8.22821i | −0.628481 | − | 0.844196i | ||||
\(96\) | 9.63974 | − | 1.75369i | 0.983852 | − | 0.178985i | ||||
\(97\) | −0.401821 | − | 6.89900i | −0.0407987 | − | 0.700487i | −0.955252 | − | 0.295795i | \(-0.904416\pi\) |
0.914453 | − | 0.404692i | \(-0.132621\pi\) | |||||||
\(98\) | 0.0972676 | − | 9.36464i | 0.00982551 | − | 0.945971i | ||||
\(99\) | −6.94615 | + | 10.5233i | −0.698114 | + | 1.05763i | ||||
\(100\) | 0.242092 | + | 0.440184i | 0.0242092 | + | 0.0440184i | ||||
\(101\) | −12.0303 | − | 12.7514i | −1.19706 | − | 1.26881i | −0.954343 | − | 0.298711i | \(-0.903443\pi\) |
−0.242716 | − | 0.970097i | \(-0.578038\pi\) | |||||||
\(102\) | −12.3740 | − | 2.32520i | −1.22521 | − | 0.230229i | ||||
\(103\) | −0.528511 | + | 0.803562i | −0.0520757 | + | 0.0791773i | −0.860587 | − | 0.509303i | \(-0.829903\pi\) |
0.808511 | + | 0.588480i | \(0.200274\pi\) | |||||||
\(104\) | 2.23337 | + | 8.40462i | 0.219000 | + | 0.824140i | ||||
\(105\) | 0.968182 | − | 2.23942i | 0.0944849 | − | 0.218545i | ||||
\(106\) | 2.33034 | + | 3.62455i | 0.226343 | + | 0.352048i | ||||
\(107\) | −7.95357 | + | 4.59200i | −0.768901 | + | 0.443925i | −0.832482 | − | 0.554052i | \(-0.813081\pi\) |
0.0635816 | + | 0.997977i | \(0.479748\pi\) | |||||||
\(108\) | 4.44693 | + | 9.39281i | 0.427906 | + | 0.903823i | ||||
\(109\) | −0.127584 | − | 0.0736605i | −0.0122203 | − | 0.00705540i | 0.493877 | − | 0.869532i | \(-0.335579\pi\) |
−0.506098 | + | 0.862476i | \(0.668912\pi\) | |||||||
\(110\) | −0.650712 | − | 13.6053i | −0.0620429 | − | 1.29722i | ||||
\(111\) | 9.14352 | − | 9.67557i | 0.867864 | − | 0.918364i | ||||
\(112\) | 2.44654 | + | 0.244788i | 0.231177 | + | 0.0231303i | ||||
\(113\) | −6.94203 | − | 13.8227i | −0.653051 | − | 1.30033i | −0.939603 | − | 0.342267i | \(-0.888805\pi\) |
0.286551 | − | 0.958065i | \(-0.407491\pi\) | |||||||
\(114\) | 10.2611 | + | 3.86555i | 0.961040 | + | 0.362042i | ||||
\(115\) | 4.76063 | − | 15.9016i | 0.443931 | − | 1.48283i | ||||
\(116\) | −15.5998 | − | 0.324095i | −1.44840 | − | 0.0300915i | ||||
\(117\) | −7.99565 | + | 4.59873i | −0.739198 | + | 0.425152i | ||||
\(118\) | 10.0687 | + | 17.8656i | 0.926903 | + | 1.64466i | ||||
\(119\) | −2.82348 | − | 1.41801i | −0.258828 | − | 0.129988i | ||||
\(120\) | −9.86588 | − | 5.35656i | −0.900628 | − | 0.488984i | ||||
\(121\) | −2.64001 | + | 6.12024i | −0.240001 | + | 0.556385i | ||||
\(122\) | 1.89889 | + | 6.59113i | 0.171918 | + | 0.596733i | ||||
\(123\) | 6.97265 | − | 4.57775i | 0.628703 | − | 0.412762i | ||||
\(124\) | −5.52993 | − | 4.29825i | −0.496603 | − | 0.385994i | ||||
\(125\) | −1.88966 | + | 10.7168i | −0.169017 | + | 0.958541i | ||||
\(126\) | 0.421916 | + | 2.57355i | 0.0375873 | + | 0.229270i | ||||
\(127\) | 14.9985 | − | 2.64465i | 1.33090 | − | 0.234674i | 0.537446 | − | 0.843298i | \(-0.319389\pi\) |
0.793459 | + | 0.608624i | \(0.208278\pi\) | |||||||
\(128\) | 2.12624 | − | 11.1121i | 0.187935 | − | 0.982181i | ||||
\(129\) | 10.2619 | − | 5.91343i | 0.903509 | − | 0.520648i | ||||
\(130\) | 4.04134 | − | 9.10760i | 0.354449 | − | 0.798790i | ||||
\(131\) | 0.698480 | − | 0.209111i | 0.0610264 | − | 0.0182701i | −0.256144 | − | 0.966639i | \(-0.582452\pi\) |
0.317171 | + | 0.948368i | \(0.397267\pi\) | |||||||
\(132\) | 8.44020 | + | 11.8637i | 0.734626 | + | 1.03260i | ||||
\(133\) | 2.20715 | + | 1.64316i | 0.191384 | + | 0.142480i | ||||
\(134\) | −1.06243 | + | 0.175978i | −0.0917802 | + | 0.0152022i | ||||
\(135\) | 2.77465 | − | 11.5794i | 0.238803 | − | 0.996599i | ||||
\(136\) | −7.65789 | + | 12.3580i | −0.656659 | + | 1.05969i | ||||
\(137\) | 0.321264 | − | 2.74859i | 0.0274474 | − | 0.234828i | −0.972550 | − | 0.232693i | \(-0.925246\pi\) |
0.999998 | − | 0.00213492i | \(-0.000679566\pi\) | |||||||
\(138\) | 4.89788 | + | 17.0536i | 0.416935 | + | 1.45170i | ||||
\(139\) | −11.6087 | − | 2.75130i | −0.984634 | − | 0.233362i | −0.293397 | − | 0.955991i | \(-0.594786\pi\) |
−0.691237 | + | 0.722628i | \(0.742934\pi\) | |||||||
\(140\) | −2.00854 | − | 1.97541i | −0.169753 | − | 0.166953i | ||||
\(141\) | 4.06666 | + | 4.85458i | 0.342474 | + | 0.408829i | ||||
\(142\) | 1.01692 | − | 7.98058i | 0.0853382 | − | 0.669715i | ||||
\(143\) | −9.89930 | + | 8.30650i | −0.827821 | + | 0.694624i | ||||
\(144\) | 11.9679 | − | 0.877149i | 0.997325 | − | 0.0730957i | ||||
\(145\) | 13.6951 | + | 11.4915i | 1.13731 | + | 0.954321i | ||||
\(146\) | 7.34283 | − | 6.78485i | 0.607697 | − | 0.561518i | ||||
\(147\) | 1.34097 | − | 11.3913i | 0.110601 | − | 0.939535i | ||||
\(148\) | −6.61206 | − | 13.8771i | −0.543508 | − | 1.14069i | ||||
\(149\) | 18.3326 | − | 2.14277i | 1.50186 | − | 0.175542i | 0.674945 | − | 0.737868i | \(-0.264167\pi\) |
0.826916 | + | 0.562325i | \(0.190093\pi\) | |||||||
\(150\) | 0.237347 | + | 0.567646i | 0.0193793 | + | 0.0463481i | ||||
\(151\) | −3.82175 | − | 5.81069i | −0.311010 | − | 0.472868i | 0.645831 | − | 0.763481i | \(-0.276511\pi\) |
−0.956841 | + | 0.290613i | \(0.906141\pi\) | |||||||
\(152\) | 8.43678 | − | 9.44091i | 0.684314 | − | 0.765759i | ||||
\(153\) | −14.7651 | − | 4.44693i | −1.19369 | − | 0.359513i | ||||
\(154\) | 1.21391 | + | 3.44614i | 0.0978197 | + | 0.277698i | ||||
\(155\) | 1.85067 | + | 7.80861i | 0.148650 | + | 0.627203i | ||||
\(156\) | 1.62254 | + | 10.5264i | 0.129907 | + | 0.842789i | ||||
\(157\) | −10.1895 | − | 0.593472i | −0.813212 | − | 0.0473642i | −0.353503 | − | 0.935434i | \(-0.615009\pi\) |
−0.459710 | + | 0.888069i | \(0.652046\pi\) | |||||||
\(158\) | 1.30445 | − | 18.9955i | 0.103776 | − | 1.51120i | ||||
\(159\) | 2.36464 | + | 4.71808i | 0.187528 | + | 0.374168i | ||||
\(160\) | −9.87795 | + | 8.39428i | −0.780921 | + | 0.663626i | ||||
\(161\) | 4.45254i | 0.350909i | ||||||||
\(162\) | 4.18913 | + | 12.0188i | 0.329129 | + | 0.944285i | ||||
\(163\) | −23.4122 | −1.83379 | −0.916893 | − | 0.399133i | \(-0.869311\pi\) | ||||
−0.916893 | + | 0.399133i | \(0.869311\pi\) | |||||||
\(164\) | −2.02602 | − | 9.41595i | −0.158206 | − | 0.735262i | ||||
\(165\) | 0.983708 | − | 16.6531i | 0.0765816 | − | 1.29644i | ||||
\(166\) | 0.638425 | − | 9.29678i | 0.0495514 | − | 0.721570i | ||||
\(167\) | 0.308780 | − | 5.30155i | 0.0238941 | − | 0.410246i | −0.965060 | − | 0.262027i | \(-0.915609\pi\) |
0.988955 | − | 0.148219i | \(-0.0473540\pi\) | |||||||
\(168\) | 2.94736 | + | 0.617483i | 0.227394 | + | 0.0476398i | ||||
\(169\) | 3.45120 | − | 0.817951i | 0.265477 | − | 0.0629193i | ||||
\(170\) | 15.7114 | − | 5.53437i | 1.20501 | − | 0.424467i | ||||
\(171\) | 11.9910 | + | 6.04689i | 0.916975 | + | 0.462417i | ||||
\(172\) | −2.09455 | − | 13.5147i | −0.159708 | − | 1.03048i | ||||
\(173\) | −18.2717 | + | 12.0175i | −1.38917 | + | 0.913674i | −0.999972 | − | 0.00747892i | \(-0.997619\pi\) |
−0.389201 | + | 0.921153i | \(0.627249\pi\) | |||||||
\(174\) | −18.9546 | − | 2.43117i | −1.43694 | − | 0.184306i | ||||
\(175\) | 0.0179247 | + | 0.153355i | 0.00135498 | + | 0.0115926i | ||||
\(176\) | 16.2922 | − | 4.14867i | 1.22807 | − | 0.312718i | ||||
\(177\) | 9.92911 | + | 23.0705i | 0.746317 | + | 1.73409i | ||||
\(178\) | 5.34005 | + | 5.77921i | 0.400253 | + | 0.433170i | ||||
\(179\) | 16.5125 | − | 19.6789i | 1.23420 | − | 1.47087i | 0.402715 | − | 0.915326i | \(-0.368067\pi\) |
0.831489 | − | 0.555541i | \(-0.187489\pi\) | |||||||
\(180\) | −11.3151 | − | 7.81100i | −0.843376 | − | 0.582197i | ||||
\(181\) | 7.50412 | + | 8.94306i | 0.557777 | + | 0.664733i | 0.969074 | − | 0.246768i | \(-0.0793687\pi\) |
−0.411297 | + | 0.911501i | \(0.634924\pi\) | |||||||
\(182\) | −0.337844 | + | 2.65132i | −0.0250427 | + | 0.196529i | ||||
\(183\) | 1.45196 | + | 8.27436i | 0.107332 | + | 0.611658i | ||||
\(184\) | 20.4062 | + | 1.82788i | 1.50436 | + | 0.134753i | ||||
\(185\) | −4.06176 | + | 17.1379i | −0.298626 | + | 1.26000i | ||||
\(186\) | −6.17305 | − | 5.95618i | −0.452630 | − | 0.436729i | ||||
\(187\) | −21.4578 | − | 2.50805i | −1.56915 | − | 0.183407i | ||||
\(188\) | 6.92198 | − | 2.35776i | 0.504837 | − | 0.171957i | ||||
\(189\) | 0.177828 | + | 3.18907i | 0.0129351 | + | 0.231971i | ||||
\(190\) | −14.3120 | + | 2.37060i | −1.03831 | + | 0.171982i | ||||
\(191\) | −5.78711 | + | 7.77343i | −0.418740 | + | 0.562466i | −0.960576 | − | 0.278019i | \(-0.910322\pi\) |
0.541835 | + | 0.840485i | \(0.317730\pi\) | |||||||
\(192\) | 4.03992 | − | 13.2544i | 0.291556 | − | 0.956554i | ||||
\(193\) | 4.06030 | + | 13.5623i | 0.292267 | + | 0.976239i | 0.970441 | + | 0.241338i | \(0.0775863\pi\) |
−0.678174 | + | 0.734901i | \(0.737229\pi\) | |||||||
\(194\) | −8.93321 | − | 3.96396i | −0.641367 | − | 0.284596i | ||||
\(195\) | 6.11038 | − | 10.5634i | 0.437573 | − | 0.756458i | ||||
\(196\) | −11.7095 | − | 6.18859i | −0.836395 | − | 0.442042i | ||||
\(197\) | 1.41017 | + | 7.99747i | 0.100470 | + | 0.569796i | 0.992933 | + | 0.118675i | \(0.0378647\pi\) |
−0.892463 | + | 0.451121i | \(0.851024\pi\) | |||||||
\(198\) | 8.72945 | + | 15.5491i | 0.620375 | + | 1.10502i | ||||
\(199\) | 18.5252 | + | 3.26649i | 1.31322 | + | 0.231556i | 0.786027 | − | 0.618192i | \(-0.212134\pi\) |
0.527190 | + | 0.849747i | \(0.323246\pi\) | |||||||
\(200\) | 0.710192 | − | 0.0191931i | 0.0502182 | − | 0.00135716i | ||||
\(201\) | −1.31677 | + | 0.0756037i | −0.0928777 | + | 0.00533267i | ||||
\(202\) | −23.8232 | + | 6.86341i | −1.67619 | + | 0.482908i | ||||
\(203\) | −4.40335 | − | 1.89942i | −0.309054 | − | 0.133313i | ||||
\(204\) | −10.9388 | + | 14.0495i | −0.765871 | + | 0.983659i | ||||
\(205\) | −4.95271 | + | 9.86165i | −0.345912 | + | 0.688767i | ||||
\(206\) | 0.667815 | + | 1.18494i | 0.0465289 | + | 0.0825590i | ||||
\(207\) | 3.73819 | + | 21.4067i | 0.259822 | + | 1.48787i | ||||
\(208\) | 12.0124 | + | 2.63679i | 0.832912 | + | 0.182828i | ||||
\(209\) | 18.0243 | + | 5.39611i | 1.24676 | + | 0.373257i | ||||
\(210\) | −2.18806 | − | 2.66780i | −0.150990 | − | 0.184096i | ||||
\(211\) | 3.29108 | − | 1.65284i | 0.226567 | − | 0.113786i | −0.331895 | − | 0.943316i | \(-0.607688\pi\) |
0.558462 | + | 0.829530i | \(0.311392\pi\) | |||||||
\(212\) | 6.06609 | − | 0.581585i | 0.416621 | − | 0.0399435i | ||||
\(213\) | 2.28021 | − | 9.58573i | 0.156237 | − | 0.656804i | ||||
\(214\) | 0.620484 | + | 12.9733i | 0.0424154 | + | 0.886836i | ||||
\(215\) | −7.83480 | + | 13.5703i | −0.534329 | + | 0.925485i | ||||
\(216\) | 14.6886 | + | 0.494202i | 0.999434 | + | 0.0336262i | ||||
\(217\) | −1.07631 | − | 1.86423i | −0.0730648 | − | 0.126552i | ||||
\(218\) | −0.175248 | + | 0.112672i | −0.0118693 | + | 0.00763114i | ||||
\(219\) | 9.82760 | − | 7.30379i | 0.664088 | − | 0.493544i | ||||
\(220\) | −17.5251 | − | 7.99535i | −1.18154 | − | 0.539047i | ||||
\(221\) | −13.2038 | − | 8.68428i | −0.888184 | − | 0.584168i | ||||
\(222\) | −6.24034 | − | 17.7623i | −0.418824 | − | 1.19213i | ||||
\(223\) | 4.94723 | − | 4.66747i | 0.331291 | − | 0.312557i | −0.502565 | − | 0.864540i | \(-0.667610\pi\) |
0.833855 | + | 0.551983i | \(0.186129\pi\) | |||||||
\(224\) | 1.89258 | − | 2.91704i | 0.126453 | − | 0.194903i | ||||
\(225\) | 0.214929 | + | 0.722246i | 0.0143286 | + | 0.0481497i | ||||
\(226\) | −21.8739 | − | 0.227197i | −1.45503 | − | 0.0151129i | ||||
\(227\) | −7.36832 | + | 0.429156i | −0.489053 | + | 0.0284841i | −0.300900 | − | 0.953656i | \(-0.597287\pi\) |
−0.188153 | + | 0.982140i | \(0.560250\pi\) | |||||||
\(228\) | 11.5065 | − | 10.3954i | 0.762038 | − | 0.688455i | ||||
\(229\) | 1.98845 | − | 1.48035i | 0.131401 | − | 0.0978241i | −0.529452 | − | 0.848340i | \(-0.677602\pi\) |
0.660852 | + | 0.750516i | \(0.270195\pi\) | |||||||
\(230\) | −16.9064 | − | 16.2856i | −1.11478 | − | 1.07384i | ||||
\(231\) | 1.02838 | + | 4.35507i | 0.0676624 | + | 0.286543i | ||||
\(232\) | −10.5128 | + | 19.4010i | −0.690199 | + | 1.27374i | ||||
\(233\) | −7.84204 | − | 21.5458i | −0.513749 | − | 1.41151i | −0.877301 | − | 0.479940i | \(-0.840659\pi\) |
0.363553 | − | 0.931574i | \(-0.381564\pi\) | |||||||
\(234\) | 0.601687 | + | 13.0306i | 0.0393335 | + | 0.851834i | ||||
\(235\) | −7.87320 | − | 2.86561i | −0.513591 | − | 0.186932i | ||||
\(236\) | 28.9817 | − | 1.08457i | 1.88655 | − | 0.0705993i | ||||
\(237\) | 4.06830 | − | 22.9618i | 0.264265 | − | 1.49153i | ||||
\(238\) | −3.61164 | + | 2.63091i | −0.234108 | + | 0.170536i | ||||
\(239\) | 2.97977 | − | 3.15837i | 0.192745 | − | 0.204298i | −0.623793 | − | 0.781590i | \(-0.714409\pi\) |
0.816538 | + | 0.577292i | \(0.195891\pi\) | |||||||
\(240\) | −13.1249 | + | 8.93275i | −0.847208 | + | 0.576607i | ||||
\(241\) | 4.68855 | + | 10.8693i | 0.302016 | + | 0.700153i | 0.999871 | − | 0.0160873i | \(-0.00512095\pi\) |
−0.697854 | + | 0.716240i | \(0.745862\pi\) | |||||||
\(242\) | 5.98375 | + | 7.28346i | 0.384650 | + | 0.468199i | ||||
\(243\) | 3.53238 | + | 15.1830i | 0.226602 | + | 0.973987i | ||||
\(244\) | 9.51598 | + | 1.88252i | 0.609198 | + | 0.120516i | ||||
\(245\) | 6.01050 | + | 13.9339i | 0.383997 | + | 0.890205i | ||||
\(246\) | −1.23801 | − | 11.7309i | −0.0789325 | − | 0.747937i | ||||
\(247\) | 10.0111 | + | 9.44500i | 0.636992 | + | 0.600971i | ||||
\(248\) | −8.98568 | + | 4.16747i | −0.570591 | + | 0.264635i | ||||
\(249\) | 1.99111 | − | 11.2380i | 0.126182 | − | 0.712177i | ||||
\(250\) | 12.2483 | + | 9.31778i | 0.774650 | + | 0.589308i | ||||
\(251\) | −2.18278 | + | 5.99715i | −0.137776 | + | 0.378537i | −0.989323 | − | 0.145742i | \(-0.953443\pi\) |
0.851546 | + | 0.524279i | \(0.175665\pi\) | |||||||
\(252\) | 3.50859 | + | 1.13672i | 0.221021 | + | 0.0716065i | ||||
\(253\) | 10.4127 | + | 28.6087i | 0.654642 | + | 1.79862i | ||||
\(254\) | 6.39124 | − | 20.5682i | 0.401022 | − | 1.29057i | ||||
\(255\) | 19.8553 | − | 4.68851i | 1.24339 | − | 0.293606i | ||||
\(256\) | −12.5920 | − | 9.87127i | −0.786999 | − | 0.616954i | ||||
\(257\) | 16.0546 | − | 11.9522i | 1.00146 | − | 0.745556i | 0.0342141 | − | 0.999415i | \(-0.489107\pi\) |
0.967241 | + | 0.253859i | \(0.0816998\pi\) | |||||||
\(258\) | −0.786387 | − | 16.7312i | −0.0489583 | − | 1.04164i | ||||
\(259\) | −0.274703 | − | 4.71647i | −0.0170692 | − | 0.293067i | ||||
\(260\) | −8.83148 | − | 10.9803i | −0.547705 | − | 0.680969i | ||||
\(261\) | −22.7649 | − | 5.43505i | −1.40911 | − | 0.336421i | ||||
\(262\) | 0.189589 | − | 1.01354i | 0.0117128 | − | 0.0626166i | ||||
\(263\) | 2.58991 | + | 2.74515i | 0.159701 | + | 0.169273i | 0.802283 | − | 0.596944i | \(-0.203618\pi\) |
−0.642582 | + | 0.766217i | \(0.722137\pi\) | |||||||
\(264\) | 20.3816 | − | 2.92523i | 1.25440 | − | 0.180036i | ||||
\(265\) | −5.83357 | − | 3.83680i | −0.358354 | − | 0.235693i | ||||
\(266\) | 3.49544 | − | 1.71025i | 0.214319 | − | 0.104862i | ||||
\(267\) | 5.74848 | + | 7.73486i | 0.351801 | + | 0.473365i | ||||
\(268\) | −0.467006 | + | 1.44961i | −0.0285269 | + | 0.0885490i | ||||
\(269\) | 10.1343 | + | 17.5531i | 0.617899 | + | 1.07023i | 0.989868 | + | 0.141988i | \(0.0453493\pi\) |
−0.371969 | + | 0.928245i | \(0.621317\pi\) | |||||||
\(270\) | −12.7594 | − | 10.9891i | −0.776514 | − | 0.668776i | ||||
\(271\) | 5.20710 | + | 3.00632i | 0.316309 | + | 0.182621i | 0.649746 | − | 0.760151i | \(-0.274875\pi\) |
−0.333437 | + | 0.942772i | \(0.608209\pi\) | |||||||
\(272\) | 10.5749 | + | 17.6323i | 0.641196 | + | 1.06912i | ||||
\(273\) | −0.757536 | + | 3.18459i | −0.0458481 | + | 0.192740i | ||||
\(274\) | −3.24721 | − | 2.18438i | −0.196171 | − | 0.131963i | ||||
\(275\) | 0.473808 | + | 0.943430i | 0.0285717 | + | 0.0568910i | ||||
\(276\) | 24.6113 | + | 4.88988i | 1.48143 | + | 0.294336i | ||||
\(277\) | −13.3782 | − | 4.00517i | −0.803817 | − | 0.240647i | −0.141566 | − | 0.989929i | \(-0.545214\pi\) |
−0.662251 | + | 0.749282i | \(0.730399\pi\) | |||||||
\(278\) | −10.9787 | + | 12.8113i | −0.658459 | + | 0.768371i | ||||
\(279\) | −6.73979 | − | 8.05912i | −0.403500 | − | 0.482487i | ||||
\(280\) | −3.78446 | + | 1.24534i | −0.226165 | + | 0.0744235i | ||||
\(281\) | −0.777387 | + | 1.54790i | −0.0463750 | + | 0.0923402i | −0.915627 | − | 0.402030i | \(-0.868305\pi\) |
0.869252 | + | 0.494370i | \(0.164601\pi\) | |||||||
\(282\) | 8.73716 | − | 1.96756i | 0.520290 | − | 0.117167i | ||||
\(283\) | 5.23959 | − | 12.1467i | 0.311461 | − | 0.722048i | −0.688534 | − | 0.725204i | \(-0.741745\pi\) |
0.999995 | + | 0.00315599i | \(0.00100458\pi\) | |||||||
\(284\) | −9.37385 | − | 6.44813i | −0.556236 | − | 0.382626i | ||||
\(285\) | −17.7382 | + | 1.01846i | −1.05072 | + | 0.0603283i | ||||
\(286\) | 4.02966 | + | 17.8255i | 0.238279 | + | 1.05405i | ||||
\(287\) | 0.514030 | − | 2.91521i | 0.0303422 | − | 0.172079i | ||||
\(288\) | 6.64999 | − | 15.6134i | 0.391855 | − | 0.920027i | ||||
\(289\) | −1.63584 | − | 9.27732i | −0.0962259 | − | 0.545724i | ||||
\(290\) | 23.3179 | − | 9.77236i | 1.36927 | − | 0.573853i | ||||
\(291\) | −10.3611 | − | 5.99338i | −0.607378 | − | 0.351338i | ||||
\(292\) | −3.77281 | − | 13.6260i | −0.220787 | − | 0.797403i | ||||
\(293\) | −1.38833 | − | 4.63735i | −0.0811072 | − | 0.270917i | 0.907811 | − | 0.419380i | \(-0.137753\pi\) |
−0.988918 | + | 0.148463i | \(0.952567\pi\) | |||||||
\(294\) | −13.4516 | − | 9.06490i | −0.784513 | − | 0.528676i | ||||
\(295\) | −26.6543 | − | 19.8434i | −1.55187 | − | 1.15533i | ||||
\(296\) | −21.7285 | − | 0.677257i | −1.26295 | − | 0.0393648i | ||||
\(297\) | 8.60056 | + | 20.0747i | 0.499055 | + | 1.16485i | ||||
\(298\) | 9.18190 | − | 24.4344i | 0.531893 | − | 1.41545i | ||||
\(299\) | −2.58551 | + | 22.1205i | −0.149524 | + | 1.27926i | ||||
\(300\) | 0.867355 | + | 0.0693402i | 0.0500767 | + | 0.00400336i | ||||
\(301\) | 0.969337 | − | 4.08995i | 0.0558716 | − | 0.235741i | ||||
\(302\) | −9.78047 | + | 1.04032i | −0.562803 | + | 0.0598639i | ||||
\(303\) | −29.9071 | + | 5.24801i | −1.71812 | + | 0.301490i | ||||
\(304\) | −6.40317 | − | 16.7218i | −0.367247 | − | 0.959063i | ||||
\(305\) | −7.14423 | − | 8.51416i | −0.409078 | − | 0.487520i | ||||
\(306\) | −15.1550 | + | 15.6810i | −0.866356 | + | 0.896421i | ||||
\(307\) | 17.1552 | + | 14.3949i | 0.979100 | + | 0.821562i | 0.983953 | − | 0.178426i | \(-0.0571005\pi\) |
−0.00485352 | + | 0.999988i | \(0.501545\pi\) | |||||||
\(308\) | 5.11860 | + | 0.706336i | 0.291659 | + | 0.0402472i | ||||
\(309\) | 0.658554 | + | 1.53017i | 0.0374638 | + | 0.0870482i | ||||
\(310\) | 11.0153 | + | 2.73180i | 0.625625 | + | 0.155156i | ||||
\(311\) | −31.8529 | + | 3.72307i | −1.80621 | + | 0.211116i | −0.951429 | − | 0.307868i | \(-0.900385\pi\) |
−0.854784 | + | 0.518984i | \(0.826311\pi\) | |||||||
\(312\) | 14.2841 | + | 4.77917i | 0.808679 | + | 0.270567i | ||||
\(313\) | −8.06516 | + | 5.30454i | −0.455870 | + | 0.299830i | −0.756599 | − | 0.653879i | \(-0.773140\pi\) |
0.300729 | + | 0.953710i | \(0.402770\pi\) | |||||||
\(314\) | −7.34673 | + | 12.4251i | −0.414600 | + | 0.701188i | ||||
\(315\) | −2.31627 | − | 3.53440i | −0.130507 | − | 0.199141i | ||||
\(316\) | −23.0347 | − | 13.9449i | −1.29580 | − | 0.784463i | ||||
\(317\) | 16.9305 | − | 4.01261i | 0.950914 | − | 0.225371i | 0.274247 | − | 0.961659i | \(-0.411572\pi\) |
0.676668 | + | 0.736289i | \(0.263423\pi\) | |||||||
\(318\) | 7.46301 | + | 0.0836702i | 0.418505 | + | 0.00469199i | ||||
\(319\) | −32.7347 | − | 1.90658i | −1.83279 | − | 0.106748i | ||||
\(320\) | 4.15384 | + | 17.8556i | 0.232207 | + | 0.998157i | ||||
\(321\) | −0.938011 | + | 15.8795i | −0.0523547 | + | 0.886305i | ||||
\(322\) | 5.59740 | + | 2.88431i | 0.311931 | + | 0.160736i | ||||
\(323\) | 23.0094i | 1.28028i | ||||||||
\(324\) | 17.8228 | + | 2.51937i | 0.990156 | + | 0.139965i | ||||
\(325\) | 0.772287i | 0.0428388i | ||||||||
\(326\) | −15.1662 | + | 29.4321i | −0.839977 | + | 1.63009i | ||||
\(327\) | −0.228120 | + | 0.114331i | −0.0126151 | + | 0.00632251i | ||||
\(328\) | −13.1495 | − | 3.55259i | −0.726059 | − | 0.196159i | ||||
\(329\) | 2.24366 | + | 0.130678i | 0.123697 | + | 0.00720453i | ||||
\(330\) | −20.2978 | − | 12.0243i | −1.11736 | − | 0.661917i | ||||
\(331\) | 3.36705 | − | 0.798004i | 0.185070 | − | 0.0438623i | −0.137036 | − | 0.990566i | \(-0.543758\pi\) |
0.322105 | + | 0.946704i | \(0.395609\pi\) | |||||||
\(332\) | −11.2737 | − | 6.82494i | −0.618723 | − | 0.374567i | ||||
\(333\) | −5.28049 | − | 22.4450i | −0.289369 | − | 1.22998i | ||||
\(334\) | −6.46469 | − | 3.82246i | −0.353732 | − | 0.209156i | ||||
\(335\) | 1.45792 | − | 0.958886i | 0.0796544 | − | 0.0523895i | ||||
\(336\) | 2.68553 | − | 3.30521i | 0.146507 | − | 0.180314i | ||||
\(337\) | 19.6636 | − | 2.29835i | 1.07115 | − | 0.125199i | 0.437803 | − | 0.899071i | \(-0.355757\pi\) |
0.633342 | + | 0.773872i | \(0.281683\pi\) | |||||||
\(338\) | 1.20739 | − | 4.86846i | 0.0656732 | − | 0.264809i | ||||
\(339\) | −26.6077 | − | 3.13223i | −1.44513 | − | 0.170119i | ||||
\(340\) | 3.22027 | − | 23.3363i | 0.174644 | − | 1.26559i | ||||
\(341\) | −11.2753 | − | 9.46109i | −0.610591 | − | 0.512347i | ||||
\(342\) | 15.3694 | − | 11.1571i | 0.831079 | − | 0.603307i | ||||
\(343\) | −5.38232 | − | 6.41440i | −0.290618 | − | 0.346345i | ||||
\(344\) | −18.3465 | − | 6.12154i | −0.989176 | − | 0.330051i | ||||
\(345\) | −18.4621 | − | 22.0391i | −0.993966 | − | 1.18655i | ||||
\(346\) | 3.27130 | + | 30.7547i | 0.175866 | + | 1.65338i | ||||
\(347\) | 3.55567 | − | 15.0026i | 0.190879 | − | 0.805380i | −0.790370 | − | 0.612630i | \(-0.790111\pi\) |
0.981248 | − | 0.192749i | \(-0.0617404\pi\) | |||||||
\(348\) | −15.3349 | + | 22.2535i | −0.822036 | + | 1.19291i | ||||
\(349\) | −2.07961 | + | 17.7922i | −0.111319 | + | 0.952394i | 0.815982 | + | 0.578077i | \(0.196197\pi\) |
−0.927301 | + | 0.374317i | \(0.877877\pi\) | |||||||
\(350\) | 0.204399 | + | 0.0768084i | 0.0109256 | + | 0.00410558i | ||||
\(351\) | −0.968377 | + | 15.9467i | −0.0516881 | + | 0.851174i | ||||
\(352\) | 5.33848 | − | 23.1688i | 0.284542 | − | 1.23490i | ||||
\(353\) | 4.50023 | + | 3.35030i | 0.239523 | + | 0.178318i | 0.710227 | − | 0.703973i | \(-0.248592\pi\) |
−0.470703 | + | 0.882291i | \(0.656000\pi\) | |||||||
\(354\) | 35.4346 | + | 2.46271i | 1.88333 | + | 0.130891i | ||||
\(355\) | 3.73878 | + | 12.4884i | 0.198434 | + | 0.662814i | ||||
\(356\) | 10.7244 | − | 2.96941i | 0.568393 | − | 0.157378i | ||||
\(357\) | −4.74159 | + | 2.73235i | −0.250951 | + | 0.144611i | ||||
\(358\) | −14.0422 | − | 33.5061i | −0.742153 | − | 1.77085i | ||||
\(359\) | 3.83901 | + | 21.7721i | 0.202615 | + | 1.14909i | 0.901148 | + | 0.433511i | \(0.142725\pi\) |
−0.698533 | + | 0.715578i | \(0.746164\pi\) | |||||||
\(360\) | −17.1492 | + | 9.16461i | −0.903842 | + | 0.483017i | ||||
\(361\) | 0.180380 | − | 1.02299i | 0.00949371 | − | 0.0538415i | ||||
\(362\) | 16.1037 | − | 3.64041i | 0.846390 | − | 0.191336i | ||||
\(363\) | 6.33598 | + | 9.65072i | 0.332553 | + | 0.506531i | ||||
\(364\) | 3.11420 | + | 2.14221i | 0.163228 | + | 0.112282i | ||||
\(365\) | −6.41639 | + | 14.8749i | −0.335849 | + | 0.778586i | ||||
\(366\) | 11.3425 | + | 3.53475i | 0.592881 | + | 0.184764i | ||||
\(367\) | −9.08300 | + | 18.0857i | −0.474129 | + | 0.944068i | 0.521726 | + | 0.853113i | \(0.325288\pi\) |
−0.995855 | + | 0.0909548i | \(0.971008\pi\) | |||||||
\(368\) | 15.5168 | − | 24.4690i | 0.808868 | − | 1.27554i | ||||
\(369\) | 0.0238242 | − | 14.4472i | 0.00124024 | − | 0.752089i | ||||
\(370\) | 18.9134 | + | 16.2079i | 0.983259 | + | 0.842609i | ||||
\(371\) | 1.79425 | + | 0.537163i | 0.0931528 | + | 0.0278881i | ||||
\(372\) | −11.4865 | + | 3.90196i | −0.595548 | + | 0.202307i | ||||
\(373\) | 6.77882 | + | 13.4977i | 0.350994 | + | 0.698887i | 0.997974 | − | 0.0636203i | \(-0.0202647\pi\) |
−0.646980 | + | 0.762507i | \(0.723968\pi\) | |||||||
\(374\) | −17.0531 | + | 25.3505i | −0.881793 | + | 1.31084i | ||||
\(375\) | 13.6992 | + | 12.9459i | 0.707422 | + | 0.668521i | ||||
\(376\) | 1.51999 | − | 10.2291i | 0.0783873 | − | 0.527528i | ||||
\(377\) | −20.7731 | − | 11.9934i | −1.06987 | − | 0.617690i | ||||
\(378\) | 4.12426 | + | 1.84229i | 0.212129 | + | 0.0947573i | ||||
\(379\) | −3.38938 | − | 5.87058i | −0.174101 | − | 0.301551i | 0.765749 | − | 0.643140i | \(-0.222369\pi\) |
−0.939850 | + | 0.341588i | \(0.889035\pi\) | |||||||
\(380\) | −6.29104 | + | 19.5277i | −0.322724 | + | 1.00175i | ||||
\(381\) | 10.4681 | − | 24.2130i | 0.536299 | − | 1.24047i | ||||
\(382\) | 6.02337 | + | 12.3107i | 0.308182 | + | 0.629869i | ||||
\(383\) | −20.2937 | − | 13.3474i | −1.03696 | − | 0.682020i | −0.0875840 | − | 0.996157i | \(-0.527915\pi\) |
−0.949378 | + | 0.314137i | \(0.898285\pi\) | |||||||
\(384\) | −14.0454 | − | 13.6647i | −0.716754 | − | 0.697326i | ||||
\(385\) | −4.06278 | − | 4.30629i | −0.207058 | − | 0.219469i | ||||
\(386\) | 19.6798 | + | 3.68123i | 1.00168 | + | 0.187370i | ||||
\(387\) | 1.22655 | − | 20.4773i | 0.0623492 | − | 1.04092i | ||||
\(388\) | −10.7700 | + | 8.66237i | −0.546766 | + | 0.439765i | ||||
\(389\) | 1.47615 | + | 25.3445i | 0.0748438 | + | 1.28502i | 0.801491 | + | 0.598007i | \(0.204041\pi\) |
−0.726647 | + | 0.687011i | \(0.758922\pi\) | |||||||
\(390\) | −9.32125 | − | 14.5244i | −0.472000 | − | 0.735469i | ||||
\(391\) | −29.8650 | + | 22.2337i | −1.51034 | + | 1.12440i | ||||
\(392\) | −15.3652 | + | 10.7115i | −0.776058 | + | 0.541011i | ||||
\(393\) | 0.363188 | − | 1.20950i | 0.0183204 | − | 0.0610114i | ||||
\(394\) | 10.9673 | + | 3.40792i | 0.552526 | + | 0.171688i | ||||
\(395\) | 10.5521 | + | 28.9915i | 0.530931 | + | 1.45872i | ||||
\(396\) | 25.2020 | − | 0.901505i | 1.26645 | − | 0.0453024i | ||||
\(397\) | 6.11861 | − | 16.8107i | 0.307084 | − | 0.843707i | −0.686137 | − | 0.727472i | \(-0.740695\pi\) |
0.993222 | − | 0.116235i | \(-0.0370827\pi\) | |||||||
\(398\) | 16.1068 | − | 21.1725i | 0.807363 | − | 1.06128i | ||||
\(399\) | 4.47990 | − | 1.62637i | 0.224275 | − | 0.0814202i | ||||
\(400\) | 0.435927 | − | 0.905235i | 0.0217963 | − | 0.0452618i | ||||
\(401\) | −14.2611 | − | 13.4547i | −0.712167 | − | 0.671895i | 0.242304 | − | 0.970200i | \(-0.422097\pi\) |
−0.954470 | + | 0.298306i | \(0.903578\pi\) | |||||||
\(402\) | −0.757946 | + | 1.70432i | −0.0378029 | + | 0.0850038i | ||||
\(403\) | −4.26466 | − | 9.88659i | −0.212438 | − | 0.492486i | ||||
\(404\) | −6.80424 | + | 34.3948i | −0.338523 | + | 1.71121i | ||||
\(405\) | −14.1034 | − | 15.0479i | −0.700805 | − | 0.747736i | ||||
\(406\) | −5.24025 | + | 4.30515i | −0.260069 | + | 0.213661i | ||||
\(407\) | −12.7950 | − | 29.6621i | −0.634224 | − | 1.47030i | ||||
\(408\) | 10.5759 | + | 22.8526i | 0.523585 | + | 1.13137i | ||||
\(409\) | 3.22258 | − | 3.41573i | 0.159346 | − | 0.168897i | −0.642782 | − | 0.766049i | \(-0.722220\pi\) |
0.802128 | + | 0.597152i | \(0.203701\pi\) | |||||||
\(410\) | 9.18904 | + | 12.6145i | 0.453814 | + | 0.622983i | ||||
\(411\) | −3.66919 | − | 3.08397i | −0.180988 | − | 0.152121i | ||||
\(412\) | 1.92223 | − | 0.0719346i | 0.0947014 | − | 0.00354396i | ||||
\(413\) | 8.37606 | + | 3.04864i | 0.412159 | + | 0.150014i | ||||
\(414\) | 29.3325 | + | 9.16766i | 1.44161 | + | 0.450566i | ||||
\(415\) | 5.16439 | + | 14.1891i | 0.253510 | + | 0.696513i | ||||
\(416\) | 11.0963 | − | 13.3931i | 0.544041 | − | 0.656649i | ||||
\(417\) | −15.0420 | + | 14.1680i | −0.736609 | + | 0.693808i | ||||
\(418\) | 18.4595 | − | 19.1632i | 0.902885 | − | 0.937305i | ||||
\(419\) | 10.3440 | − | 7.70079i | 0.505335 | − | 0.376208i | −0.314091 | − | 0.949393i | \(-0.601700\pi\) |
0.819426 | + | 0.573185i | \(0.194292\pi\) | |||||||
\(420\) | −4.77116 | + | 1.02249i | −0.232809 | + | 0.0498925i | ||||
\(421\) | −30.2035 | + | 1.75916i | −1.47203 | + | 0.0857360i | −0.775298 | − | 0.631596i | \(-0.782400\pi\) |
−0.696732 | + | 0.717332i | \(0.745363\pi\) | |||||||
\(422\) | 0.0540939 | − | 5.20800i | 0.00263325 | − | 0.253522i | ||||
\(423\) | 10.8967 | − | 1.25543i | 0.529815 | − | 0.0610411i | ||||
\(424\) | 3.19842 | − | 8.00260i | 0.155329 | − | 0.388640i | ||||
\(425\) | −0.939111 | + | 0.886006i | −0.0455536 | + | 0.0429776i | ||||
\(426\) | −10.5734 | − | 9.07605i | −0.512282 | − | 0.439736i | ||||
\(427\) | 2.49090 | + | 1.63829i | 0.120543 | + | 0.0792823i | ||||
\(428\) | 16.7110 | + | 7.62394i | 0.807758 | + | 0.368517i | ||||
\(429\) | 2.58013 | + | 22.2334i | 0.124570 | + | 1.07344i | ||||
\(430\) | 11.9843 | + | 18.6400i | 0.577932 | + | 0.898902i | ||||
\(431\) | 15.8774 | + | 27.5005i | 0.764789 | + | 1.32465i | 0.940358 | + | 0.340187i | \(0.110490\pi\) |
−0.175569 | + | 0.984467i | \(0.556176\pi\) | |||||||
\(432\) | 10.1364 | − | 18.1453i | 0.487688 | − | 0.873018i | ||||
\(433\) | 0.793845 | − | 1.37498i | 0.0381497 | − | 0.0660773i | −0.846320 | − | 0.532675i | \(-0.821187\pi\) |
0.884470 | + | 0.466597i | \(0.154520\pi\) | |||||||
\(434\) | −3.04079 | + | 0.145434i | −0.145963 | + | 0.00698107i | ||||
\(435\) | 29.6715 | − | 8.85641i | 1.42264 | − | 0.424632i | ||||
\(436\) | 0.0281198 | + | 0.293297i | 0.00134669 | + | 0.0140464i | ||||
\(437\) | 28.9765 | − | 14.5525i | 1.38613 | − | 0.696143i | ||||
\(438\) | −2.81558 | − | 17.0859i | −0.134533 | − | 0.816394i | ||||
\(439\) | 25.1789 | + | 7.53805i | 1.20172 | + | 0.359772i | 0.824237 | − | 0.566244i | \(-0.191604\pi\) |
0.377484 | + | 0.926016i | \(0.376789\pi\) | |||||||
\(440\) | −21.4038 | + | 16.8520i | −1.02038 | + | 0.803388i | ||||
\(441\) | −15.1975 | − | 12.7950i | −0.723691 | − | 0.609286i | ||||
\(442\) | −19.4705 | + | 10.9733i | −0.926119 | + | 0.521946i | ||||
\(443\) | −1.00828 | + | 2.00766i | −0.0479050 | + | 0.0953866i | −0.916312 | − | 0.400466i | \(-0.868848\pi\) |
0.868407 | + | 0.495853i | \(0.165144\pi\) | |||||||
\(444\) | −26.3719 | − | 3.66132i | −1.25155 | − | 0.173759i | ||||
\(445\) | −11.7073 | − | 5.05005i | −0.554980 | − | 0.239395i | ||||
\(446\) | −2.66284 | − | 9.24283i | −0.126089 | − | 0.437661i | ||||
\(447\) | 14.3712 | − | 28.5568i | 0.679737 | − | 1.35069i | ||||
\(448\) | −2.44111 | − | 4.26884i | −0.115331 | − | 0.201684i | ||||
\(449\) | −21.1516 | − | 3.72959i | −0.998205 | − | 0.176010i | −0.349407 | − | 0.936971i | \(-0.613617\pi\) |
−0.648798 | + | 0.760961i | \(0.724728\pi\) | |||||||
\(450\) | 1.04718 | + | 0.197670i | 0.0493647 | + | 0.00931826i | ||||
\(451\) | −3.51474 | − | 19.9331i | −0.165503 | − | 0.938613i | ||||
\(452\) | −14.4553 | + | 27.3511i | −0.679920 | + | 1.28649i | ||||
\(453\) | −12.0462 | − | 0.00993238i | −0.565978 | − | 0.000466664i | ||||
\(454\) | −4.23362 | + | 9.54092i | −0.198694 | + | 0.447778i | ||||
\(455\) | −1.24210 | − | 4.14891i | −0.0582307 | − | 0.194504i | ||||
\(456\) | −5.61459 | − | 21.1992i | −0.262927 | − | 0.992744i | ||||
\(457\) | −18.1927 | + | 24.4370i | −0.851018 | + | 1.14312i | 0.137272 | + | 0.990533i | \(0.456166\pi\) |
−0.988291 | + | 0.152583i | \(0.951241\pi\) | |||||||
\(458\) | −0.572887 | − | 3.45869i | −0.0267692 | − | 0.161614i | ||||
\(459\) | −20.5024 | + | 17.1173i | −0.956971 | + | 0.798968i | ||||
\(460\) | −31.4249 | + | 10.7039i | −1.46519 | + | 0.499073i | ||||
\(461\) | −21.5568 | − | 2.51963i | −1.00400 | − | 0.117351i | −0.401826 | − | 0.915716i | \(-0.631624\pi\) |
−0.602174 | + | 0.798365i | \(0.705698\pi\) | |||||||
\(462\) | 6.14105 | + | 1.52837i | 0.285708 | + | 0.0711061i | ||||
\(463\) | −0.495943 | + | 2.09255i | −0.0230484 | + | 0.0972490i | −0.983353 | − | 0.181703i | \(-0.941839\pi\) |
0.960305 | + | 0.278952i | \(0.0899871\pi\) | |||||||
\(464\) | 17.5794 | + | 25.7837i | 0.816103 | + | 1.19698i | ||||
\(465\) | 13.0574 | + | 4.76470i | 0.605523 | + | 0.220958i | ||||
\(466\) | −32.1658 | − | 4.09872i | −1.49005 | − | 0.189869i | ||||
\(467\) | 18.7688 | + | 22.3678i | 0.868519 | + | 1.03506i | 0.999048 | + | 0.0436157i | \(0.0138877\pi\) |
−0.130530 | + | 0.991444i | \(0.541668\pi\) | |||||||
\(468\) | 16.7708 | + | 7.68466i | 0.775232 | + | 0.355224i | ||||
\(469\) | −0.300876 | + | 0.358570i | −0.0138931 | + | 0.0165572i | ||||
\(470\) | −8.70261 | + | 8.04130i | −0.401421 | + | 0.370917i | ||||
\(471\) | −10.5687 | + | 14.1718i | −0.486978 | + | 0.653001i | ||||
\(472\) | 17.4106 | − | 37.1363i | 0.801388 | − | 1.70934i | ||||
\(473\) | −3.33654 | − | 28.5459i | −0.153414 | − | 1.31254i | ||||
\(474\) | −26.2305 | − | 19.9888i | −1.20481 | − | 0.918115i | ||||
\(475\) | 0.939432 | − | 0.617874i | 0.0431041 | − | 0.0283500i | ||||
\(476\) | 0.967804 | + | 6.24456i | 0.0443592 | + | 0.286219i | ||||
\(477\) | 9.07729 | + | 1.07616i | 0.415621 | + | 0.0492740i | ||||
\(478\) | −2.04021 | − | 5.79190i | −0.0933169 | − | 0.264915i | ||||
\(479\) | −5.43149 | + | 1.28729i | −0.248171 | + | 0.0588176i | −0.352819 | − | 0.935692i | \(-0.614777\pi\) |
0.104647 | + | 0.994509i | \(0.466629\pi\) | |||||||
\(480\) | 2.72744 | + | 22.2862i | 0.124490 | + | 1.01722i | ||||
\(481\) | 1.37403 | − | 23.5912i | 0.0626504 | − | 1.07567i | ||||
\(482\) | 16.7013 | + | 1.14690i | 0.760722 | + | 0.0522400i | ||||
\(483\) | 6.43980 | + | 4.24313i | 0.293021 | + | 0.193069i | ||||
\(484\) | 13.0324 | − | 2.80418i | 0.592384 | − | 0.127463i | ||||
\(485\) | 15.8362 | 0.719083 | ||||||||
\(486\) | 21.3752 | + | 5.39471i | 0.969597 | + | 0.244709i | ||||
\(487\) | − | 21.5199i | − | 0.975158i | −0.873079 | − | 0.487579i | \(-0.837880\pi\) | ||
0.873079 | − | 0.487579i | \(-0.162120\pi\) | |||||||
\(488\) | 8.53092 | − | 10.7433i | 0.386176 | − | 0.486327i | ||||
\(489\) | −22.3111 | + | 33.8616i | −1.00894 | + | 1.53127i | ||||
\(490\) | 21.4102 | + | 1.47027i | 0.967216 | + | 0.0664203i | ||||
\(491\) | −12.5340 | − | 0.730025i | −0.565653 | − | 0.0329455i | −0.227064 | − | 0.973880i | \(-0.572913\pi\) |
−0.338589 | + | 0.940934i | \(0.609950\pi\) | |||||||
\(492\) | −15.5492 | − | 6.04284i | −0.701014 | − | 0.272432i | ||||
\(493\) | −9.24786 | − | 39.0198i | −0.416503 | − | 1.75736i | ||||
\(494\) | 18.3587 | − | 6.46687i | 0.825995 | − | 0.290958i | ||||
\(495\) | −23.1482 | − | 17.2926i | −1.04044 | − | 0.777246i | ||||
\(496\) | −0.581794 | + | 13.9958i | −0.0261233 | + | 0.628430i | ||||
\(497\) | −1.92153 | − | 2.92155i | −0.0861925 | − | 0.131049i | ||||
\(498\) | −12.8377 | − | 9.78292i | −0.575273 | − | 0.438383i | ||||
\(499\) | 36.5128 | − | 4.26773i | 1.63454 | − | 0.191050i | 0.751294 | − | 0.659968i | \(-0.229430\pi\) |
0.883242 | + | 0.468918i | \(0.155356\pi\) | |||||||
\(500\) | 19.6480 | − | 9.36169i | 0.878683 | − | 0.418668i | ||||
\(501\) | −7.37349 | − | 5.49881i | −0.329423 | − | 0.245669i | ||||
\(502\) | 6.12520 | + | 6.62893i | 0.273381 | + | 0.295864i | ||||
\(503\) | 4.09051 | + | 3.43234i | 0.182387 | + | 0.153041i | 0.729410 | − | 0.684077i | \(-0.239795\pi\) |
−0.547023 | + | 0.837117i | \(0.684239\pi\) | |||||||
\(504\) | 3.70183 | − | 3.67440i | 0.164893 | − | 0.163671i | ||||
\(505\) | 30.7739 | − | 25.8223i | 1.36942 | − | 1.14908i | ||||
\(506\) | 42.7101 | + | 5.44231i | 1.89869 | + | 0.241940i | ||||
\(507\) | 2.10588 | − | 5.77104i | 0.0935252 | − | 0.256301i | ||||
\(508\) | −21.7167 | − | 21.3585i | −0.963524 | − | 0.947630i | ||||
\(509\) | 20.5547 | + | 4.87156i | 0.911073 | + | 0.215928i | 0.659319 | − | 0.751863i | \(-0.270845\pi\) |
0.251753 | + | 0.967791i | \(0.418993\pi\) | |||||||
\(510\) | 6.96801 | − | 27.9978i | 0.308549 | − | 1.23976i | ||||
\(511\) | 0.504477 | − | 4.31607i | 0.0223167 | − | 0.190932i | ||||
\(512\) | −20.5664 | + | 9.43522i | −0.908915 | + | 0.416982i | ||||
\(513\) | 20.1728 | − | 11.5803i | 0.890652 | − | 0.511285i | ||||
\(514\) | −4.62543 | − | 27.9251i | −0.204019 | − | 1.23172i | ||||
\(515\) | −1.76786 | − | 1.31613i | −0.0779014 | − | 0.0579954i | ||||
\(516\) | −21.5426 | − | 9.84968i | −0.948360 | − | 0.433608i | ||||
\(517\) | 14.7217 | − | 4.40740i | 0.647461 | − | 0.193837i | ||||
\(518\) | −6.10715 | − | 2.70994i | −0.268333 | − | 0.119068i | ||||
\(519\) | −0.0312324 | + | 37.8791i | −0.00137095 | + | 1.66271i | ||||
\(520\) | −19.5246 | + | 3.98937i | −0.856208 | + | 0.174946i | ||||
\(521\) | −18.1800 | + | 3.20563i | −0.796482 | + | 0.140441i | −0.557058 | − | 0.830474i | \(-0.688070\pi\) |
−0.239424 | + | 0.970915i | \(0.576959\pi\) | |||||||
\(522\) | −21.5794 | + | 25.0976i | −0.944505 | + | 1.09849i | ||||
\(523\) | 1.54959 | − | 8.78815i | 0.0677587 | − | 0.384279i | −0.932003 | − | 0.362451i | \(-0.881940\pi\) |
0.999762 | − | 0.0218283i | \(-0.00694870\pi\) | |||||||
\(524\) | −1.15133 | − | 0.894896i | −0.0502962 | − | 0.0390937i | ||||
\(525\) | 0.238883 | + | 0.120218i | 0.0104257 | + | 0.00524675i | ||||
\(526\) | 5.12872 | − | 1.47757i | 0.223623 | − | 0.0644252i | ||||
\(527\) | 7.12960 | − | 16.5283i | 0.310570 | − | 0.719982i | ||||
\(528\) | 9.52563 | − | 27.5173i | 0.414550 | − | 1.19754i | ||||
\(529\) | 26.3345 | + | 13.2257i | 1.14498 | + | 0.575029i | ||||
\(530\) | −8.60228 | + | 4.84810i | −0.373659 | + | 0.210588i | ||||
\(531\) | 42.8296 | + | 7.62486i | 1.85865 | + | 0.330891i | ||||
\(532\) | 0.114309 | − | 5.50209i | 0.00495594 | − | 0.238546i | ||||
\(533\) | 4.24654 | − | 14.1844i | 0.183938 | − | 0.614396i | ||||
\(534\) | 13.4475 | − | 2.21601i | 0.581930 | − | 0.0958962i | ||||
\(535\) | −9.44522 | − | 18.8070i | −0.408353 | − | 0.813097i | ||||
\(536\) | 1.51982 | + | 1.52613i | 0.0656463 | + | 0.0659187i | ||||
\(537\) | −12.7260 | − | 42.6358i | −0.549168 | − | 1.83987i | ||||
\(538\) | 28.6314 | − | 1.36938i | 1.23439 | − | 0.0590379i | ||||
\(539\) | −24.1041 | − | 13.9165i | −1.03824 | − | 0.599427i | ||||
\(540\) | −22.0801 | + | 8.92160i | −0.950178 | + | 0.383924i | ||||
\(541\) | 17.6823 | − | 10.2089i | 0.760223 | − | 0.438915i | −0.0691529 | − | 0.997606i | \(-0.522030\pi\) |
0.829376 | + | 0.558691i | \(0.188696\pi\) | |||||||
\(542\) | 7.15244 | − | 4.59853i | 0.307223 | − | 0.197524i | ||||
\(543\) | 20.0858 | − | 2.33090i | 0.861962 | − | 0.100029i | ||||
\(544\) | 29.0164 | − | 1.87193i | 1.24407 | − | 0.0802584i | ||||
\(545\) | 0.185510 | − | 0.282055i | 0.00794639 | − | 0.0120819i | ||||
\(546\) | 3.51271 | + | 3.01526i | 0.150330 | + | 0.129041i | ||||
\(547\) | 8.06882 | + | 8.55245i | 0.344998 | + | 0.365676i | 0.876518 | − | 0.481369i | \(-0.159860\pi\) |
−0.531520 | + | 0.847046i | \(0.678379\pi\) | |||||||
\(548\) | −4.84955 | + | 2.66714i | −0.207162 | + | 0.113935i | ||||
\(549\) | 13.3511 | + | 5.78522i | 0.569810 | + | 0.246907i | ||||
\(550\) | 1.49294 | + | 0.0155067i | 0.0636592 | + | 0.000661208i | ||||
\(551\) | 2.03062 | + | 34.8644i | 0.0865074 | + | 1.48527i | ||||
\(552\) | 22.0902 | − | 27.7719i | 0.940220 | − | 1.18205i | ||||
\(553\) | −4.94199 | − | 6.63825i | −0.210155 | − | 0.282287i | ||||
\(554\) | −13.7013 | + | 14.2236i | −0.582110 | + | 0.604302i | ||||
\(555\) | 20.9162 | + | 22.2065i | 0.887843 | + | 0.942615i | ||||
\(556\) | 8.99354 | + | 22.1007i | 0.381411 | + | 0.937277i | ||||
\(557\) | 36.4210 | − | 13.2562i | 1.54321 | − | 0.561682i | 0.576396 | − | 0.817170i | \(-0.304459\pi\) |
0.966812 | + | 0.255489i | \(0.0822364\pi\) | |||||||
\(558\) | −14.4973 | + | 3.25216i | −0.613720 | + | 0.137675i | ||||
\(559\) | 7.19069 | − | 19.7563i | 0.304134 | − | 0.835600i | ||||
\(560\) | −0.885976 | + | 5.56426i | −0.0374393 | + | 0.235133i | ||||
\(561\) | −24.0761 | + | 28.6448i | −1.01649 | + | 1.20938i | ||||
\(562\) | 1.44233 | + | 1.97999i | 0.0608410 | + | 0.0835209i | ||||
\(563\) | 27.5078 | + | 25.9523i | 1.15932 | + | 1.09376i | 0.994207 | + | 0.107484i | \(0.0342794\pi\) |
0.165110 | + | 0.986275i | \(0.447202\pi\) | |||||||
\(564\) | 3.18637 | − | 12.2583i | 0.134170 | − | 0.516167i | ||||
\(565\) | 32.5468 | − | 14.0393i | 1.36925 | − | 0.590638i | ||||
\(566\) | −11.8758 | − | 14.4554i | −0.499179 | − | 0.607604i | ||||
\(567\) | 4.78188 | + | 2.78189i | 0.200820 | + | 0.116828i | ||||
\(568\) | −14.1784 | + | 7.60709i | −0.594913 | + | 0.319186i | ||||
\(569\) | −27.3920 | + | 11.8158i | −1.14833 | + | 0.495343i | −0.883259 | − | 0.468885i | \(-0.844656\pi\) |
−0.265075 | + | 0.964228i | \(0.585397\pi\) | |||||||
\(570\) | −10.2103 | + | 22.9589i | −0.427662 | + | 0.961644i | ||||
\(571\) | −17.5119 | + | 18.5616i | −0.732851 | + | 0.776777i | −0.981427 | − | 0.191836i | \(-0.938556\pi\) |
0.248576 | + | 0.968612i | \(0.420037\pi\) | |||||||
\(572\) | 25.0193 | + | 6.48140i | 1.04611 | + | 0.271001i | ||||
\(573\) | 5.72795 | + | 15.7779i | 0.239288 | + | 0.659130i | ||||
\(574\) | −3.33180 | − | 2.53464i | −0.139067 | − | 0.105794i | ||||
\(575\) | 1.70973 | + | 0.622290i | 0.0713005 | + | 0.0259513i | ||||
\(576\) | −15.3202 | − | 18.4741i | −0.638342 | − | 0.769753i | ||||
\(577\) | −41.4001 | + | 15.0684i | −1.72351 | + | 0.627306i | −0.998135 | − | 0.0610492i | \(-0.980555\pi\) |
−0.725374 | + | 0.688355i | \(0.758333\pi\) | |||||||
\(578\) | −12.7224 | − | 3.95329i | −0.529184 | − | 0.164435i | ||||
\(579\) | 23.4849 | + | 7.05201i | 0.975998 | + | 0.293072i | ||||
\(580\) | 2.81996 | − | 35.6440i | 0.117093 | − | 1.48003i | ||||
\(581\) | −2.41871 | − | 3.24890i | −0.100345 | − | 0.134787i | ||||
\(582\) | −14.2462 | + | 9.14277i | −0.590526 | + | 0.378980i | ||||
\(583\) | 12.7847 | − | 0.744626i | 0.529490 | − | 0.0308393i | ||||
\(584\) | −19.5736 | − | 4.08390i | −0.809963 | − | 0.168993i | ||||
\(585\) | −9.45501 | − | 18.9041i | −0.390917 | − | 0.781590i | ||||
\(586\) | −6.72909 | − | 1.25872i | −0.277976 | − | 0.0519972i | ||||
\(587\) | −19.6922 | + | 18.5787i | −0.812785 | + | 0.766823i | −0.975535 | − | 0.219844i | \(-0.929445\pi\) |
0.162750 | + | 0.986667i | \(0.447964\pi\) | |||||||
\(588\) | −20.1095 | + | 11.0382i | −0.829303 | + | 0.455208i | ||||
\(589\) | −8.61435 | + | 13.0975i | −0.354948 | + | 0.539673i | ||||
\(590\) | −42.2121 | + | 20.6535i | −1.73784 | + | 0.850292i | ||||
\(591\) | 12.9108 | + | 5.58179i | 0.531078 | + | 0.229604i | ||||
\(592\) | −14.9269 | + | 26.8768i | −0.613492 | + | 1.10463i | ||||
\(593\) | 30.7280 | − | 17.7408i | 1.26185 | − | 0.728529i | 0.288417 | − | 0.957505i | \(-0.406871\pi\) |
0.973432 | + | 0.228976i | \(0.0735378\pi\) | |||||||
\(594\) | 30.8078 | + | 2.19220i | 1.26406 | + | 0.0899472i | ||||
\(595\) | 3.62013 | − | 6.27025i | 0.148411 | − | 0.257055i | ||||
\(596\) | −24.7692 | − | 27.3712i | −1.01459 | − | 1.12117i | ||||
\(597\) | 22.3784 | − | 23.6806i | 0.915886 | − | 0.969180i | ||||
\(598\) | 26.1334 | + | 17.5797i | 1.06867 | + | 0.718888i | ||||
\(599\) | 23.8901 | − | 11.9981i | 0.976123 | − | 0.490227i | 0.112109 | − | 0.993696i | \(-0.464239\pi\) |
0.864014 | + | 0.503468i | \(0.167943\pi\) | |||||||
\(600\) | 0.649033 | − | 1.04546i | 0.0264966 | − | 0.0426806i | ||||
\(601\) | −1.51186 | + | 5.04997i | −0.0616701 | + | 0.205992i | −0.983272 | − | 0.182145i | \(-0.941696\pi\) |
0.921602 | + | 0.388137i | \(0.126881\pi\) | |||||||
\(602\) | −4.51367 | − | 3.86801i | −0.183963 | − | 0.157648i | ||||
\(603\) | −1.14549 | + | 1.97652i | −0.0466481 | + | 0.0804901i | ||||
\(604\) | −5.02787 | + | 12.9692i | −0.204581 | + | 0.527710i | ||||
\(605\) | −13.6493 | − | 6.85495i | −0.554924 | − | 0.278693i | ||||
\(606\) | −12.7761 | + | 40.9966i | −0.518993 | + | 1.66537i | ||||
\(607\) | −23.0741 | − | 9.95321i | −0.936550 | − | 0.403988i | −0.127574 | − | 0.991829i | \(-0.540719\pi\) |
−0.808977 | + | 0.587841i | \(0.799978\pi\) | |||||||
\(608\) | −25.1694 | − | 2.78264i | −1.02075 | − | 0.112851i | ||||
\(609\) | −6.94343 | + | 4.55857i | −0.281362 | + | 0.184723i | ||||
\(610\) | −15.3313 | + | 3.46582i | −0.620748 | + | 0.140327i | ||||
\(611\) | 11.0708 | + | 1.95207i | 0.447875 | + | 0.0789724i | ||||
\(612\) | 9.89568 | + | 29.2098i | 0.400009 | + | 1.18074i | ||||
\(613\) | −29.0108 | + | 5.11540i | −1.17174 | + | 0.206609i | −0.725446 | − | 0.688279i | \(-0.758366\pi\) |
−0.446291 | + | 0.894888i | \(0.647255\pi\) | |||||||
\(614\) | 29.2092 | − | 12.2414i | 1.17879 | − | 0.494023i | ||||
\(615\) | 9.54334 | + | 16.5611i | 0.384825 | + | 0.667807i | ||||
\(616\) | 4.20373 | − | 5.97717i | 0.169373 | − | 0.240827i | ||||
\(617\) | 29.5685 | − | 8.85223i | 1.19038 | − | 0.356377i | 0.370459 | − | 0.928849i | \(-0.379200\pi\) |
0.819925 | + | 0.572471i | \(0.194015\pi\) | |||||||
\(618\) | 2.35022 | + | 0.163340i | 0.0945397 | + | 0.00657051i | ||||
\(619\) | 3.92634 | − | 5.27399i | 0.157813 | − | 0.211980i | −0.716183 | − | 0.697912i | \(-0.754113\pi\) |
0.873996 | + | 0.485933i | \(0.161520\pi\) | |||||||
\(620\) | 10.5698 | − | 12.0780i | 0.424493 | − | 0.485062i | ||||
\(621\) | 34.5234 | + | 14.9933i | 1.38538 | + | 0.601661i | ||||
\(622\) | −15.9536 | + | 42.4549i | −0.639682 | + | 1.70229i | ||||
\(623\) | 3.39698 | + | 0.397051i | 0.136097 | + | 0.0159075i | ||||
\(624\) | 15.2611 | − | 14.8611i | 0.610934 | − | 0.594918i | ||||
\(625\) | −25.4868 | − | 6.04048i | −1.01947 | − | 0.241619i | ||||
\(626\) | 1.44395 | + | 13.5752i | 0.0577120 | + | 0.542572i | ||||
\(627\) | 24.9811 | − | 20.9266i | 0.997649 | − | 0.835726i | ||||
\(628\) | 10.8608 | + | 17.2846i | 0.433392 | + | 0.689731i | ||||
\(629\) | 30.2636 | − | 25.3942i | 1.20669 | − | 1.01253i | ||||
\(630\) | −5.94365 | + | 0.622300i | −0.236801 | + | 0.0247930i | ||||
\(631\) | 13.3288 | − | 15.8846i | 0.530610 | − | 0.632356i | −0.432445 | − | 0.901660i | \(-0.642349\pi\) |
0.963055 | + | 0.269304i | \(0.0867936\pi\) | |||||||
\(632\) | −32.4522 | + | 19.9242i | −1.29088 | + | 0.792542i | ||||
\(633\) | 0.745759 | − | 6.33508i | 0.0296413 | − | 0.251797i | ||||
\(634\) | 5.92307 | − | 23.8832i | 0.235235 | − | 0.948522i | ||||
\(635\) | 4.05165 | + | 34.6641i | 0.160785 | + | 1.37560i | ||||
\(636\) | 4.93965 | − | 9.32776i | 0.195870 | − | 0.369870i | ||||
\(637\) | −11.1883 | − | 17.0110i | −0.443296 | − | 0.673999i | ||||
\(638\) | −23.6020 | + | 39.9166i | −0.934412 | + | 1.58031i | ||||
\(639\) | −11.6911 | − | 12.4328i | −0.462492 | − | 0.491835i | ||||
\(640\) | 25.1375 | + | 6.34474i | 0.993648 | + | 0.250798i | ||||
\(641\) | 10.8104 | + | 45.6126i | 0.426984 | + | 1.80159i | 0.581440 | + | 0.813589i | \(0.302489\pi\) |
−0.154456 | + | 0.988000i | \(0.549362\pi\) | |||||||
\(642\) | 19.3549 | + | 11.4657i | 0.763876 | + | 0.452517i | ||||
\(643\) | −0.746305 | + | 12.8136i | −0.0294314 | + | 0.505318i | 0.951091 | + | 0.308911i | \(0.0999644\pi\) |
−0.980522 | + | 0.196407i | \(0.937073\pi\) | |||||||
\(644\) | 7.25188 | − | 5.16822i | 0.285764 | − | 0.203657i | ||||
\(645\) | 12.1607 | + | 24.2637i | 0.478825 | + | 0.955383i | ||||
\(646\) | 28.9258 | + | 14.9053i | 1.13807 | + | 0.586439i | ||||
\(647\) | 35.6489 | 1.40150 | 0.700751 | − | 0.713406i | \(-0.252849\pi\) | ||||
0.700751 | + | 0.713406i | \(0.252849\pi\) | |||||||
\(648\) | 14.7126 | − | 20.7735i | 0.577966 | − | 0.816061i | ||||
\(649\) | 60.9480 | 2.39242 | ||||||||
\(650\) | 0.970863 | + | 0.500279i | 0.0380804 | + | 0.0196226i | ||||
\(651\) | −3.72197 | − | 0.219859i | −0.145875 | − | 0.00861697i | ||||
\(652\) | 27.1754 | + | 38.1316i | 1.06427 | + | 1.49335i | ||||
\(653\) | 1.55919 | − | 26.7703i | 0.0610158 | − | 1.04760i | −0.819346 | − | 0.573299i | \(-0.805663\pi\) |
0.880362 | − | 0.474302i | \(-0.157300\pi\) | |||||||
\(654\) | −0.00404548 | + | 0.360839i | −0.000158191 | + | 0.0141099i | ||||
\(655\) | 0.385310 | + | 1.62575i | 0.0150553 | + | 0.0635234i | ||||
\(656\) | −12.9842 | + | 14.2292i | −0.506946 | + | 0.555559i | ||||
\(657\) | −1.19822 | − | 21.1742i | −0.0467471 | − | 0.826083i | ||||
\(658\) | 1.61770 | − | 2.73592i | 0.0630645 | − | 0.106657i | ||||
\(659\) | −18.7477 | − | 28.5046i | −0.730309 | − | 1.11038i | −0.989497 | − | 0.144553i | \(-0.953825\pi\) |
0.259188 | − | 0.965827i | \(-0.416545\pi\) | |||||||
\(660\) | −28.2648 | + | 17.7277i | −1.10021 | + | 0.690048i | ||||
\(661\) | 1.53903 | + | 13.1673i | 0.0598615 | + | 0.512147i | 0.989591 | + | 0.143905i | \(0.0459661\pi\) |
−0.929730 | + | 0.368242i | \(0.879960\pi\) | |||||||
\(662\) | 1.17794 | − | 4.74974i | 0.0457821 | − | 0.184604i | ||||
\(663\) | −25.1431 | + | 10.8211i | −0.976477 | + | 0.420257i | ||||
\(664\) | −15.8828 | + | 9.75131i | −0.616371 | + | 0.378424i | ||||
\(665\) | −4.05310 | + | 4.83030i | −0.157173 | + | 0.187311i | ||||
\(666\) | −31.6369 | − | 7.90139i | −1.22590 | − | 0.306173i | ||||
\(667\) | −43.2900 | + | 36.3246i | −1.67620 | + | 1.40650i | ||||
\(668\) | −8.99308 | + | 5.65079i | −0.347953 | + | 0.218636i | ||||
\(669\) | −2.03610 | − | 11.6032i | −0.0787203 | − | 0.448607i | ||||
\(670\) | −0.261019 | − | 2.45394i | −0.0100841 | − | 0.0948040i | ||||
\(671\) | 19.8360 | + | 4.70121i | 0.765759 | + | 0.181488i | ||||
\(672\) | −2.41542 | − | 5.51713i | −0.0931768 | − | 0.212828i | ||||
\(673\) | −25.4278 | − | 2.97209i | −0.980172 | − | 0.114566i | −0.389109 | − | 0.921192i | \(-0.627217\pi\) |
−0.591062 | + | 0.806626i | \(0.701291\pi\) | |||||||
\(674\) | 9.84857 | − | 26.2085i | 0.379353 | − | 1.00951i | ||||
\(675\) | 1.24942 | + | 0.377422i | 0.0480903 | + | 0.0145270i | ||||
\(676\) | −5.33814 | − | 4.67158i | −0.205313 | − | 0.179676i | ||||
\(677\) | 10.6931 | − | 14.3633i | 0.410968 | − | 0.552026i | −0.547655 | − | 0.836704i | \(-0.684479\pi\) |
0.958623 | + | 0.284678i | \(0.0918867\pi\) | |||||||
\(678\) | −21.1738 | + | 31.4202i | −0.813174 | + | 1.20668i | ||||
\(679\) | −4.06947 | + | 1.21832i | −0.156172 | + | 0.0467548i | ||||
\(680\) | −27.2507 | − | 19.1653i | −1.04502 | − | 0.734956i | ||||
\(681\) | −6.40110 | + | 11.0659i | −0.245291 | + | 0.424048i | ||||
\(682\) | −19.1978 | + | 8.04567i | −0.735122 | + | 0.308085i | ||||
\(683\) | 9.77682 | − | 1.72392i | 0.374100 | − | 0.0659639i | 0.0165627 | − | 0.999863i | \(-0.494728\pi\) |
0.357537 | + | 0.933899i | \(0.383617\pi\) | |||||||
\(684\) | −4.06979 | − | 26.5487i | −0.155612 | − | 1.01511i | ||||
\(685\) | 6.24505 | + | 1.10117i | 0.238611 | + | 0.0420736i | ||||
\(686\) | −11.5503 | + | 2.61108i | −0.440993 | + | 0.0996915i | ||||
\(687\) | −0.246124 | − | 4.28667i | −0.00939020 | − | 0.163547i | ||||
\(688\) | −19.5802 | + | 19.0984i | −0.746489 | + | 0.728119i | ||||
\(689\) | 8.60201 | + | 3.71055i | 0.327711 | + | 0.141361i | ||||
\(690\) | −39.6656 | + | 8.93247i | −1.51004 | + | 0.340053i | ||||
\(691\) | −46.9132 | − | 23.5607i | −1.78466 | − | 0.896292i | −0.916538 | − | 0.399948i | \(-0.869028\pi\) |
−0.868126 | − | 0.496344i | \(-0.834675\pi\) | |||||||
\(692\) | 40.7817 | + | 15.8101i | 1.55029 | + | 0.601011i | ||||
\(693\) | 7.27885 | + | 2.66289i | 0.276501 | + | 0.101155i | ||||
\(694\) | −16.5568 | − | 14.1884i | −0.628488 | − | 0.538586i | ||||
\(695\) | 7.84083 | − | 26.1902i | 0.297420 | − | 0.993450i | ||||
\(696\) | 18.0417 | + | 33.6934i | 0.683867 | + | 1.27715i | ||||
\(697\) | 22.1203 | − | 11.1092i | 0.837866 | − | 0.420792i | ||||
\(698\) | 21.0199 | + | 14.1399i | 0.795615 | + | 0.535204i | ||||
\(699\) | −38.6354 | − | 9.19041i | −1.46133 | − | 0.347613i | ||||
\(700\) | 0.228965 | − | 0.207199i | 0.00865407 | − | 0.00783140i | ||||
\(701\) | −6.76080 | + | 11.7101i | −0.255352 | + | 0.442283i | −0.964991 | − | 0.262283i | \(-0.915525\pi\) |
0.709639 | + | 0.704565i | \(0.248858\pi\) | |||||||
\(702\) | 19.4198 | + | 11.5475i | 0.732952 | + | 0.435832i | ||||
\(703\) | −29.7963 | + | 17.2029i | −1.12379 | + | 0.648820i | ||||
\(704\) | −25.6679 | − | 21.7196i | −0.967395 | − | 0.818590i | ||||
\(705\) | −11.6475 | + | 8.65634i | −0.438671 | + | 0.326017i | ||||
\(706\) | 7.12696 | − | 3.48708i | 0.268227 | − | 0.131238i | ||||
\(707\) | −5.92148 | + | 9.00317i | −0.222700 | + | 0.338599i | ||||
\(708\) | 26.0501 | − | 42.9505i | 0.979022 | − | 1.61418i | ||||
\(709\) | −35.0031 | + | 33.0237i | −1.31457 | + | 1.24023i | −0.363374 | + | 0.931643i | \(0.618375\pi\) |
−0.951195 | + | 0.308589i | \(0.900143\pi\) | |||||||
\(710\) | 18.1214 | + | 3.38973i | 0.680085 | + | 0.127214i | ||||
\(711\) | −29.3331 | − | 27.7660i | −1.10008 | − | 1.04131i | ||||
\(712\) | 3.21425 | − | 15.4055i | 0.120459 | − | 0.577346i | ||||
\(713\) | −25.3238 | + | 1.47494i | −0.948383 | + | 0.0552370i | ||||
\(714\) | 0.363356 | + | 7.73076i | 0.0135983 | + | 0.289317i | ||||
\(715\) | −17.6835 | − | 23.7531i | −0.661326 | − | 0.888315i | ||||
\(716\) | −51.2178 | − | 4.05208i | −1.91410 | − | 0.151433i | ||||
\(717\) | −1.72839 | − | 7.31953i | −0.0645478 | − | 0.273353i | ||||
\(718\) | 29.8572 | + | 9.27762i | 1.11426 | + | 0.346238i | ||||
\(719\) | −19.5375 | + | 7.11106i | −0.728625 | + | 0.265198i | −0.679583 | − | 0.733599i | \(-0.737839\pi\) |
−0.0490425 | + | 0.998797i | \(0.515617\pi\) | |||||||
\(720\) | 0.412004 | + | 27.4955i | 0.0153545 | + | 1.02470i | ||||
\(721\) | 0.555547 | + | 0.202203i | 0.0206897 | + | 0.00753042i | ||||
\(722\) | −1.16918 | − | 0.889443i | −0.0435123 | − | 0.0331016i | ||||
\(723\) | 20.1885 | + | 3.57695i | 0.750820 | + | 0.133028i | ||||
\(724\) | 5.85532 | − | 22.6026i | 0.217611 | − | 0.840018i | ||||
\(725\) | −1.34477 | + | 1.42538i | −0.0499436 | + | 0.0529371i | ||||
\(726\) | 16.2366 | − | 1.71350i | 0.602595 | − | 0.0635941i | ||||
\(727\) | 26.5791 | − | 11.4651i | 0.985765 | − | 0.425218i | 0.158702 | − | 0.987327i | \(-0.449269\pi\) |
0.827063 | + | 0.562109i | \(0.190010\pi\) | |||||||
\(728\) | 4.71038 | − | 2.52724i | 0.174578 | − | 0.0936658i | ||||
\(729\) | 25.3257 | + | 9.35995i | 0.937989 | + | 0.346665i | ||||
\(730\) | 14.5431 | + | 17.7020i | 0.538265 | + | 0.655180i | ||||
\(731\) | 32.2734 | − | 13.9214i | 1.19367 | − | 0.514901i | ||||
\(732\) | 11.7912 | − | 11.9692i | 0.435814 | − | 0.442394i | ||||
\(733\) | −7.34595 | − | 6.93054i | −0.271329 | − | 0.255985i | 0.538535 | − | 0.842603i | \(-0.318978\pi\) |
−0.809864 | + | 0.586617i | \(0.800459\pi\) | |||||||
\(734\) | 16.8522 | + | 23.1342i | 0.622026 | + | 0.853900i | ||||
\(735\) | 25.8807 | + | 4.58548i | 0.954626 | + | 0.169138i | ||||
\(736\) | −20.7091 | − | 35.3573i | −0.763348 | − | 1.30329i | ||||
\(737\) | −1.09465 | + | 3.00753i | −0.0403221 | + | 0.110784i | ||||
\(738\) | −18.1465 | − | 9.38867i | −0.667981 | − | 0.345602i | ||||
\(739\) | −8.29970 | + | 3.02084i | −0.305310 | + | 0.111124i | −0.490132 | − | 0.871648i | \(-0.663051\pi\) |
0.184822 | + | 0.982772i | \(0.440829\pi\) | |||||||
\(740\) | 32.6273 | − | 13.2772i | 1.19940 | − | 0.488079i | ||||
\(741\) | 23.2008 | − | 5.47849i | 0.852303 | − | 0.201257i | ||||
\(742\) | 1.83758 | − | 1.90763i | 0.0674596 | − | 0.0700313i | ||||
\(743\) | 0.247624 | + | 0.332617i | 0.00908445 | + | 0.0122025i | 0.806642 | − | 0.591040i | \(-0.201282\pi\) |
−0.797558 | + | 0.603243i | \(0.793875\pi\) | |||||||
\(744\) | −2.53559 | + | 16.9677i | −0.0929592 | + | 0.622065i | ||||
\(745\) | 2.45929 | + | 42.2243i | 0.0901013 | + | 1.54698i | ||||
\(746\) | 21.3596 | + | 0.221856i | 0.782031 | + | 0.00812272i | ||||
\(747\) | −14.3563 | − | 13.5892i | −0.525268 | − | 0.497204i | ||||
\(748\) | 20.8220 | + | 37.8596i | 0.761326 | + | 1.38429i | ||||
\(749\) | 3.87404 | + | 4.10625i | 0.141554 | + | 0.150039i | ||||
\(750\) | 25.1488 | − | 8.83540i | 0.918303 | − | 0.322623i | ||||
\(751\) | 14.8022 | − | 22.5056i | 0.540140 | − | 0.821243i | −0.457549 | − | 0.889184i | \(-0.651273\pi\) |
0.997689 | + | 0.0679415i | \(0.0216431\pi\) | |||||||
\(752\) | −11.8747 | − | 8.53715i | −0.433026 | − | 0.311318i | ||||
\(753\) | 6.59368 | + | 8.87211i | 0.240287 | + | 0.323318i | ||||
\(754\) | −28.5338 | + | 18.3453i | −1.03914 | + | 0.668096i | ||||
\(755\) | 13.8022 | − | 7.96868i | 0.502312 | − | 0.290010i | ||||
\(756\) | 4.98765 | − | 3.99130i | 0.181399 | − | 0.145162i | ||||
\(757\) | 29.3041 | + | 16.9187i | 1.06507 | + | 0.614921i | 0.926832 | − | 0.375477i | \(-0.122521\pi\) |
0.138243 | + | 0.990398i | \(0.455855\pi\) | |||||||
\(758\) | −9.57567 | + | 0.457983i | −0.347804 | + | 0.0166347i | ||||
\(759\) | 51.3004 | + | 12.2031i | 1.86209 | + | 0.442945i | ||||
\(760\) | 20.4736 | + | 20.5585i | 0.742654 | + | 0.745735i | ||||
\(761\) | −1.05646 | − | 2.10359i | −0.0382968 | − | 0.0762552i | 0.873670 | − | 0.486518i | \(-0.161733\pi\) |
−0.911967 | + | 0.410263i | \(0.865437\pi\) | |||||||
\(762\) | −23.6576 | − | 28.8447i | −0.857026 | − | 1.04493i | ||||
\(763\) | −0.0259720 | + | 0.0867524i | −0.000940248 | + | 0.00314065i | ||||
\(764\) | 19.3780 | + | 0.402589i | 0.701070 | + | 0.0145652i | ||||
\(765\) | 12.1404 | − | 33.1852i | 0.438938 | − | 1.19981i | ||||
\(766\) | −29.9255 | + | 16.8655i | −1.08125 | + | 0.609375i | ||||
\(767\) | 39.8425 | + | 20.0096i | 1.43863 | + | 0.722506i | ||||
\(768\) | −26.2768 | + | 8.80503i | −0.948183 | + | 0.317724i | ||||
\(769\) | −5.32502 | + | 12.3448i | −0.192025 | + | 0.445165i | −0.986843 | − | 0.161684i | \(-0.948307\pi\) |
0.794817 | + | 0.606849i | \(0.207567\pi\) | |||||||
\(770\) | −8.04538 | + | 2.31786i | −0.289935 | + | 0.0835297i | ||||
\(771\) | −1.98718 | − | 34.6101i | −0.0715665 | − | 1.24645i | ||||
\(772\) | 17.3762 | − | 22.3554i | 0.625382 | − | 0.804587i | ||||
\(773\) | 8.48404 | − | 48.1154i | 0.305150 | − | 1.73059i | −0.317649 | − | 0.948209i | \(-0.602893\pi\) |
0.622798 | − | 0.782382i | \(-0.285996\pi\) | |||||||
\(774\) | −24.9480 | − | 14.8069i | −0.896739 | − | 0.532224i | ||||
\(775\) | −0.866270 | + | 0.152747i | −0.0311173 | + | 0.00548683i | ||||
\(776\) | 3.91299 | + | 19.1507i | 0.140468 | + | 0.687470i | ||||
\(777\) | −7.08332 | − | 4.09734i | −0.254113 | − | 0.146991i | ||||
\(778\) | 32.8175 | + | 14.5622i | 1.17657 | + | 0.522080i | ||||
\(779\) | −20.6518 | + | 6.18275i | −0.739928 | + | 0.221520i | ||||
\(780\) | −24.2972 | + | 2.30927i | −0.869978 | + | 0.0826851i | ||||
\(781\) | −19.1787 | − | 14.2780i | −0.686268 | − | 0.510907i | ||||
\(782\) | 8.60432 | + | 51.9468i | 0.307690 | + | 1.85762i | ||||
\(783\) | −29.5551 | + | 27.7460i | −1.05621 | + | 0.991560i | ||||
\(784\) | 3.51229 | + | 26.2547i | 0.125439 | + | 0.937669i | ||||
\(785\) | 2.71533 | − | 23.2312i | 0.0969145 | − | 0.829156i | ||||
\(786\) | −1.28523 | − | 1.24008i | −0.0458426 | − | 0.0442321i | ||||
\(787\) | 40.4810 | + | 9.59417i | 1.44299 | + | 0.341995i | 0.876233 | − | 0.481888i | \(-0.160049\pi\) |
0.566759 | + | 0.823884i | \(0.308197\pi\) | |||||||
\(788\) | 11.3887 | − | 11.5797i | 0.405706 | − | 0.412510i | ||||
\(789\) | 6.43848 | − | 1.12980i | 0.229216 | − | 0.0402221i | ||||
\(790\) | 43.2815 | + | 5.51513i | 1.53989 | + | 0.196220i | ||||
\(791\) | −7.28357 | + | 6.11164i | −0.258974 | + | 0.217305i | ||||
\(792\) | 15.1923 | − | 32.2661i | 0.539834 | − | 1.14653i | ||||
\(793\) | 11.4236 | + | 9.58553i | 0.405664 | + | 0.340392i | ||||
\(794\) | −17.1697 | − | 18.5817i | −0.609329 | − | 0.659440i | ||||
\(795\) | −11.1085 | + | 4.78087i | −0.393977 | + | 0.169560i | ||||
\(796\) | −16.1827 | − | 33.9637i | −0.573582 | − | 1.20381i | ||||
\(797\) | 44.3212 | − | 5.18040i | 1.56994 | − | 0.183499i | 0.713838 | − | 0.700311i | \(-0.246955\pi\) |
0.856099 | + | 0.516812i | \(0.172881\pi\) | |||||||
\(798\) | 0.857480 | − | 6.68534i | 0.0303545 | − | 0.236659i | ||||
\(799\) | 10.3272 | + | 15.7017i | 0.365349 | + | 0.555486i | ||||
\(800\) | −0.855607 | − | 1.13442i | −0.0302503 | − | 0.0401077i | ||||
\(801\) | 16.6652 | − | 0.943066i | 0.588837 | − | 0.0333216i | ||||
\(802\) | −26.1525 | + | 9.21225i | −0.923475 | + | 0.325296i | ||||
\(803\) | −6.85220 | − | 28.9117i | −0.241809 | − | 1.02027i | ||||
\(804\) | 1.65156 | + | 2.05688i | 0.0582460 | + | 0.0725404i | ||||
\(805\) | −10.1859 | − | 0.593263i | −0.359007 | − | 0.0209098i | ||||
\(806\) | −15.1913 | − | 1.04321i | −0.535091 | − | 0.0367455i | ||||
\(807\) | 35.0451 | + | 2.07014i | 1.23365 | + | 0.0728725i | ||||
\(808\) | 38.8310 | + | 30.8344i | 1.36607 | + | 1.08475i | ||||
\(809\) | 27.3062i | 0.960036i | 0.877259 | + | 0.480018i | \(0.159370\pi\) | ||||
−0.877259 | + | 0.480018i | \(0.840630\pi\) | |||||||
\(810\) | −28.0532 | + | 7.98195i | −0.985688 | + | 0.280457i | ||||
\(811\) | 32.0395 | 1.12506 | 0.562529 | − | 0.826778i | \(-0.309829\pi\) | ||||
0.562529 | + | 0.826778i | \(0.309829\pi\) | |||||||
\(812\) | 2.01753 | + | 9.37649i | 0.0708015 | + | 0.329050i | ||||
\(813\) | 9.31033 | − | 4.66621i | 0.326527 | − | 0.163651i | ||||
\(814\) | −45.5775 | − | 3.12988i | −1.59749 | − | 0.109702i | ||||
\(815\) | 3.11948 | − | 53.5594i | 0.109271 | − | 1.87610i | ||||
\(816\) | 35.5796 | + | 1.50840i | 1.24553 | + | 0.0528046i | ||||
\(817\) | −29.7850 | + | 7.05918i | −1.04205 | + | 0.246969i | ||||
\(818\) | −2.20646 | − | 6.26387i | −0.0771470 | − | 0.219011i | ||||
\(819\) | 3.88403 | + | 4.13046i | 0.135719 | + | 0.144330i | ||||
\(820\) | 21.8105 | − | 3.38028i | 0.761657 | − | 0.118044i | ||||
\(821\) | −24.0912 | + | 15.8450i | −0.840788 | + | 0.552995i | −0.895272 | − | 0.445520i | \(-0.853019\pi\) |
0.0544844 | + | 0.998515i | \(0.482648\pi\) | |||||||
\(822\) | −6.25381 | + | 2.61487i | −0.218127 | + | 0.0912041i | ||||
\(823\) | 2.97868 | + | 25.4843i | 0.103830 | + | 0.888325i | 0.940308 | + | 0.340324i | \(0.110537\pi\) |
−0.836478 | + | 0.548001i | \(0.815389\pi\) | |||||||
\(824\) | 1.15477 | − | 2.46308i | 0.0402283 | − | 0.0858056i | ||||
\(825\) | 1.81603 | + | 0.213781i | 0.0632260 | + | 0.00744291i | ||||
\(826\) | 9.25845 | − | 8.55490i | 0.322143 | − | 0.297663i | ||||
\(827\) | 15.8996 | − | 18.9484i | 0.552884 | − | 0.658901i | −0.415141 | − | 0.909757i | \(-0.636268\pi\) |
0.968024 | + | 0.250856i | \(0.0807121\pi\) | |||||||
\(828\) | 30.5262 | − | 30.9360i | 1.06086 | − | 1.07510i | ||||
\(829\) | −10.3677 | − | 12.3558i | −0.360086 | − | 0.429134i | 0.555338 | − | 0.831625i | \(-0.312589\pi\) |
−0.915424 | + | 0.402491i | \(0.868145\pi\) | |||||||
\(830\) | 21.1829 | + | 2.69922i | 0.735269 | + | 0.0936913i | ||||
\(831\) | −18.5418 | + | 15.5324i | −0.643207 | + | 0.538812i | ||||
\(832\) | −9.64872 | − | 22.6254i | −0.334509 | − | 0.784393i | ||||
\(833\) | 7.84980 | − | 33.1209i | 0.271979 | − | 1.14757i | ||||
\(834\) | 8.06688 | + | 28.0875i | 0.279333 | + | 0.972592i | ||||
\(835\) | 12.0870 | + | 1.41277i | 0.418289 | + | 0.0488910i | ||||
\(836\) | −12.1328 | − | 35.6197i | −0.419620 | − | 1.23193i | ||||
\(837\) | −18.0789 | + | 2.06780i | −0.624898 | + | 0.0714737i | ||||
\(838\) | −2.98017 | − | 17.9922i | −0.102948 | − | 0.621529i | ||||
\(839\) | 3.21182 | − | 4.31422i | 0.110884 | − | 0.148943i | −0.743217 | − | 0.669051i | \(-0.766701\pi\) |
0.854101 | + | 0.520108i | \(0.174108\pi\) | |||||||
\(840\) | −1.80531 | + | 6.66032i | −0.0622890 | + | 0.229803i | ||||
\(841\) | −9.13886 | − | 30.5259i | −0.315133 | − | 1.05262i | ||||
\(842\) | −17.3540 | + | 39.1092i | −0.598060 | + | 1.34779i | ||||
\(843\) | 1.49794 | + | 2.59946i | 0.0515919 | + | 0.0895301i | ||||
\(844\) | −6.51208 | − | 3.44169i | −0.224155 | − | 0.118468i | ||||
\(845\) | 1.41136 | + | 8.00420i | 0.0485521 | + | 0.275353i | ||||
\(846\) | 5.48053 | − | 14.5118i | 0.188424 | − | 0.498925i | ||||
\(847\) | 4.03488 | + | 0.711459i | 0.138640 | + | 0.0244460i | ||||
\(848\) | −7.98837 | − | 9.20482i | −0.274322 | − | 0.316095i | ||||
\(849\) | −12.5749 | − | 19.1536i | −0.431570 | − | 0.657350i | ||||
\(850\) | 0.505475 | + | 1.75453i | 0.0173377 | + | 0.0601798i | ||||
\(851\) | −51.1202 | − | 22.0511i | −1.75238 | − | 0.755902i | ||||
\(852\) | −18.2591 | + | 7.41272i | −0.625546 | + | 0.253956i | ||||
\(853\) | 16.9061 | − | 33.6628i | 0.578854 | − | 1.15259i | −0.393552 | − | 0.919302i | \(-0.628754\pi\) |
0.972407 | − | 0.233292i | \(-0.0749497\pi\) | |||||||
\(854\) | 3.67311 | − | 2.07011i | 0.125691 | − | 0.0708376i | ||||
\(855\) | −15.4310 | + | 26.6257i | −0.527728 | + | 0.910581i | ||||
\(856\) | 20.4095 | − | 16.0692i | 0.697582 | − | 0.549233i | ||||
\(857\) | −14.0785 | − | 4.21484i | −0.480914 | − | 0.143976i | 0.0371650 | − | 0.999309i | \(-0.488167\pi\) |
−0.518078 | + | 0.855333i | \(0.673352\pi\) | |||||||
\(858\) | 29.6216 | + | 11.1590i | 1.01127 | + | 0.380963i | ||||
\(859\) | −16.1514 | + | 8.11152i | −0.551077 | + | 0.276762i | −0.702471 | − | 0.711712i | \(-0.747920\pi\) |
0.151394 | + | 0.988474i | \(0.451624\pi\) | |||||||
\(860\) | 31.1962 | − | 2.99093i | 1.06378 | − | 0.101990i | ||||
\(861\) | −3.72647 | − | 3.52156i | −0.126998 | − | 0.120014i | ||||
\(862\) | 44.8569 | − | 2.14540i | 1.52783 | − | 0.0730728i | ||||
\(863\) | −22.8747 | + | 39.6201i | −0.778663 | + | 1.34868i | 0.154049 | + | 0.988063i | \(0.450769\pi\) |
−0.932712 | + | 0.360621i | \(0.882565\pi\) | |||||||
\(864\) | −16.2447 | − | 24.4971i | −0.552657 | − | 0.833409i | ||||
\(865\) | −25.0575 | − | 43.4009i | −0.851981 | − | 1.47567i | ||||
\(866\) | −1.21428 | − | 1.88866i | −0.0412629 | − | 0.0641793i | ||||
\(867\) | −14.9769 | − | 6.47505i | −0.508642 | − | 0.219904i | ||||
\(868\) | −1.78697 | + | 3.91688i | −0.0606536 | + | 0.132947i | ||||
\(869\) | −47.2779 | − | 31.0951i | −1.60379 | − | 1.05483i | ||||
\(870\) | 8.08724 | − | 43.0379i | 0.274183 | − | 1.45912i | ||||
\(871\) | −1.70298 | + | 1.60668i | −0.0577034 | + | 0.0544403i | ||||
\(872\) | 0.386928 | + | 0.154645i | 0.0131030 | + | 0.00523693i | ||||
\(873\) | −18.5422 | + | 9.27397i | −0.627557 | + | 0.313876i | ||||
\(874\) | 0.476273 | − | 45.8541i | 0.0161102 | − | 1.55104i | ||||
\(875\) | 6.67782 | − | 0.388939i | 0.225751 | − | 0.0131485i | ||||
\(876\) | −23.3030 | − | 7.52850i | −0.787335 | − | 0.254364i | ||||
\(877\) | −15.2706 | + | 11.3685i | −0.515652 | + | 0.383888i | −0.823295 | − | 0.567613i | \(-0.807867\pi\) |
0.307644 | + | 0.951502i | \(0.400460\pi\) | |||||||
\(878\) | 25.7869 | − | 26.7700i | 0.870265 | − | 0.903442i | ||||
\(879\) | −8.03014 | − | 2.41128i | −0.270850 | − | 0.0813306i | ||||
\(880\) | 7.31999 | + | 37.8238i | 0.246757 | + | 1.27504i | ||||
\(881\) | 2.43451 | + | 6.68877i | 0.0820209 | + | 0.225351i | 0.973923 | − | 0.226877i | \(-0.0728516\pi\) |
−0.891902 | + | 0.452228i | \(0.850629\pi\) | |||||||
\(882\) | −25.9297 | + | 10.8167i | −0.873100 | + | 0.364219i | ||||
\(883\) | 12.3074 | + | 4.47951i | 0.414175 | + | 0.150748i | 0.540699 | − | 0.841216i | \(-0.318160\pi\) |
−0.126524 | + | 0.991964i | \(0.540382\pi\) | |||||||
\(884\) | 1.18200 | + | 31.5853i | 0.0397550 | + | 1.06233i | ||||
\(885\) | −54.1007 | + | 19.6406i | −1.81858 | + | 0.660210i | ||||
\(886\) | 1.87072 | + | 2.56808i | 0.0628482 | + | 0.0862763i | ||||
\(887\) | −39.8996 | + | 42.2911i | −1.33970 | + | 1.42000i | −0.511812 | + | 0.859097i | \(0.671026\pi\) |
−0.827885 | + | 0.560898i | \(0.810456\pi\) | |||||||
\(888\) | −21.6862 | + | 30.7811i | −0.727741 | + | 1.03294i | ||||
\(889\) | −3.70797 | − | 8.59604i | −0.124361 | − | 0.288302i | ||||
\(890\) | −13.9324 | + | 11.4462i | −0.467016 | + | 0.383678i | ||||
\(891\) | 37.2306 | + | 6.69144i | 1.24727 | + | 0.224172i | ||||
\(892\) | −13.3444 | − | 2.63988i | −0.446803 | − | 0.0883898i | ||||
\(893\) | −6.48268 | − | 15.0286i | −0.216935 | − | 0.502911i | ||||
\(894\) | −26.5900 | − | 36.5653i | −0.889301 | − | 1.22293i | ||||
\(895\) | 42.8186 | + | 40.3972i | 1.43127 | + | 1.35033i | ||||
\(896\) | −6.94780 | + | 0.303472i | −0.232110 | + | 0.0101383i | ||||
\(897\) | 29.5294 | + | 24.8196i | 0.985958 | + | 0.828703i | ||||
\(898\) | −18.3903 | + | 24.1742i | −0.613694 | + | 0.806705i | ||||
\(899\) | 9.34429 | − | 25.6732i | 0.311649 | − | 0.856250i | ||||
\(900\) | 0.926852 | − | 1.18840i | 0.0308951 | − | 0.0396132i | ||||
\(901\) | 5.35658 | + | 14.7171i | 0.178454 | + | 0.490297i | ||||
\(902\) | −27.3352 | − | 8.49397i | −0.910164 | − | 0.282818i | ||||
\(903\) | −4.99164 | − | 5.29958i | −0.166111 | − | 0.176359i | ||||
\(904\) | 25.0198 | + | 35.8899i | 0.832146 | + | 1.19368i | ||||
\(905\) | −21.4586 | + | 15.9754i | −0.713309 | + | 0.531039i | ||||
\(906\) | −7.81586 | + | 15.1371i | −0.259664 | + | 0.502897i | ||||
\(907\) | −0.492262 | − | 8.45181i | −0.0163453 | − | 0.280638i | −0.996570 | − | 0.0827512i | \(-0.973629\pi\) |
0.980225 | − | 0.197886i | \(-0.0634077\pi\) | |||||||
\(908\) | 9.25166 | + | 11.5027i | 0.307027 | + | 0.381731i | ||||
\(909\) | −20.9103 | + | 48.2565i | −0.693550 | + | 1.60057i | ||||
\(910\) | −6.02033 | − | 1.12614i | −0.199572 | − | 0.0373312i | ||||
\(911\) | −34.1627 | − | 36.2103i | −1.13186 | − | 1.19970i | −0.977332 | − | 0.211713i | \(-0.932096\pi\) |
−0.154528 | − | 0.987988i | \(-0.549386\pi\) | |||||||
\(912\) | −30.2872 | − | 6.67437i | −1.00291 | − | 0.221011i | ||||
\(913\) | −23.1388 | − | 15.2186i | −0.765782 | − | 0.503663i | ||||
\(914\) | 18.9354 | + | 38.7006i | 0.626328 | + | 1.28010i | ||||
\(915\) | −19.1225 | + | 2.21911i | −0.632169 | + | 0.0733617i | ||||
\(916\) | −4.71912 | − | 1.52031i | −0.155924 | − | 0.0502325i | ||||
\(917\) | −0.224088 | − | 0.388132i | −0.00740004 | − | 0.0128172i | ||||
\(918\) | 8.23741 | + | 36.8626i | 0.271875 | + | 1.21665i | ||||
\(919\) | −22.0737 | − | 12.7442i | −0.728143 | − | 0.420394i | 0.0895994 | − | 0.995978i | \(-0.471441\pi\) |
−0.817742 | + | 0.575584i | \(0.804775\pi\) | |||||||
\(920\) | −6.90053 | + | 46.4390i | −0.227504 | + | 1.53105i | ||||
\(921\) | 37.1681 | − | 11.0940i | 1.22473 | − | 0.365560i | ||||
\(922\) | −17.1318 | + | 25.4674i | −0.564204 | + | 0.838725i | ||||
\(923\) | −7.84979 | − | 15.6302i | −0.258379 | − | 0.514475i | ||||
\(924\) | 5.89946 | − | 6.73002i | 0.194078 | − | 0.221402i | ||||
\(925\) | −1.84947 | − | 0.553694i | −0.0608101 | − | 0.0182053i | ||||
\(926\) | 2.30933 | + | 1.97900i | 0.0758894 | + | 0.0650338i | ||||
\(927\) | 2.84070 | + | 0.505723i | 0.0933007 | + | 0.0166101i | ||||
\(928\) | 43.8011 | − | 5.39714i | 1.43784 | − | 0.177170i | ||||
\(929\) | −9.57265 | + | 19.0607i | −0.314069 | + | 0.625362i | −0.994178 | − | 0.107749i | \(-0.965636\pi\) |
0.680110 | + | 0.733110i | \(0.261932\pi\) | |||||||
\(930\) | 14.4483 | − | 13.3283i | 0.473778 | − | 0.437052i | ||||
\(931\) | −11.7413 | + | 27.2195i | −0.384807 | + | 0.892083i | ||||
\(932\) | −25.9893 | + | 37.7814i | −0.851308 | + | 1.23757i | ||||
\(933\) | −24.9701 | + | 49.6176i | −0.817485 | + | 1.62441i | ||||
\(934\) | 40.2775 | − | 9.10517i | 1.31792 | − | 0.297930i | ||||
\(935\) | 8.59666 | − | 48.7541i | 0.281141 | − | 1.59443i | ||||
\(936\) | 20.5246 | − | 16.1050i | 0.670866 | − | 0.526409i | ||||
\(937\) | 6.89161 | + | 39.0843i | 0.225139 | + | 1.27683i | 0.862419 | + | 0.506195i | \(0.168948\pi\) |
−0.637280 | + | 0.770633i | \(0.719940\pi\) | |||||||
\(938\) | 0.255864 | + | 0.610517i | 0.00835424 | + | 0.0199341i | ||||
\(939\) | −0.0137860 | + | 16.7199i | −0.000449889 | + | 0.545633i | ||||
\(940\) | 4.47147 | + | 16.1494i | 0.145843 | + | 0.526734i | ||||
\(941\) | 7.60279 | + | 25.3951i | 0.247844 | + | 0.827856i | 0.987871 | + | 0.155279i | \(0.0496276\pi\) |
−0.740027 | + | 0.672577i | \(0.765187\pi\) | |||||||
\(942\) | 10.9694 | + | 22.4665i | 0.357404 | + | 0.731997i | ||||
\(943\) | −27.9804 | − | 20.8307i | −0.911168 | − | 0.678340i | ||||
\(944\) | −35.4066 | − | 45.9438i | −1.15239 | − | 1.49534i | ||||
\(945\) | −7.31922 | − | 0.0181047i | −0.238094 | − | 0.000588947i | ||||
\(946\) | −38.0472 | − | 14.2973i | −1.23702 | − | 0.464845i | ||||
\(947\) | 3.68945 | − | 31.5653i | 0.119891 | − | 1.02573i | −0.790636 | − | 0.612286i | \(-0.790250\pi\) |
0.910528 | − | 0.413448i | \(-0.135676\pi\) | |||||||
\(948\) | −42.1202 | + | 20.0265i | −1.36800 | + | 0.650431i | ||||
\(949\) | 5.01254 | − | 21.1496i | 0.162714 | − | 0.686544i | ||||
\(950\) | −0.168192 | − | 1.58124i | −0.00545687 | − | 0.0513021i | ||||
\(951\) | 10.3308 | − | 28.3109i | 0.334998 | − | 0.918045i | ||||
\(952\) | 8.47714 | + | 2.82851i | 0.274746 | + | 0.0916724i | ||||
\(953\) | 1.63245 | + | 1.94547i | 0.0528801 | + | 0.0630201i | 0.791836 | − | 0.610734i | \(-0.209125\pi\) |
−0.738956 | + | 0.673754i | \(0.764681\pi\) | |||||||
\(954\) | 7.23305 | − | 10.7142i | 0.234179 | − | 0.346885i | ||||
\(955\) | −17.0120 | − | 14.2747i | −0.550494 | − | 0.461919i | ||||
\(956\) | −8.60278 | − | 1.18713i | −0.278234 | − | 0.0383946i | ||||
\(957\) | −33.9527 | + | 45.5280i | −1.09753 | + | 1.47171i | ||||
\(958\) | −1.90018 | + | 7.66197i | −0.0613920 | + | 0.247547i | ||||
\(959\) | −1.68953 | + | 0.197478i | −0.0545577 | + | 0.00637688i | ||||
\(960\) | 29.7834 | + | 11.0080i | 0.961255 | + | 0.355283i | ||||
\(961\) | −15.6539 | + | 10.2957i | −0.504964 | + | 0.332120i | ||||
\(962\) | −28.7671 | − | 17.0095i | −0.927487 | − | 0.548407i | ||||
\(963\) | 22.0729 | + | 16.4893i | 0.711290 | + | 0.531361i | ||||
\(964\) | 12.2607 | − | 20.2527i | 0.394891 | − | 0.652295i | ||||
\(965\) | −31.5672 | + | 7.48155i | −1.01618 | + | 0.240840i | ||||
\(966\) | 9.50579 | − | 5.34699i | 0.305844 | − | 0.172037i | ||||
\(967\) | 7.93203 | + | 0.461988i | 0.255077 | + | 0.0148565i | 0.185207 | − | 0.982700i | \(-0.440705\pi\) |
0.0698700 | + | 0.997556i | \(0.477742\pi\) | |||||||
\(968\) | 4.91707 | − | 18.2000i | 0.158041 | − | 0.584969i | ||||
\(969\) | 33.2790 | + | 21.9273i | 1.06908 | + | 0.704406i | ||||
\(970\) | 10.2585 | − | 19.9081i | 0.329381 | − | 0.639210i | ||||
\(971\) | − | 20.7008i | − | 0.664321i | −0.943223 | − | 0.332161i | \(-0.892222\pi\) | ||
0.943223 | − | 0.332161i | \(-0.107778\pi\) | |||||||
\(972\) | 20.6284 | − | 23.3766i | 0.661657 | − | 0.749806i | ||||
\(973\) | 7.33340i | 0.235098i | ||||||||
\(974\) | −27.0532 | − | 13.9403i | −0.866840 | − | 0.446677i | ||||
\(975\) | 1.11698 | + | 0.735967i | 0.0357719 | + | 0.0235698i | ||||
\(976\) | −7.97948 | − | 17.6839i | −0.255417 | − | 0.566046i | ||||
\(977\) | 54.4109 | + | 3.16907i | 1.74076 | + | 0.101388i | 0.898856 | − | 0.438243i | \(-0.144399\pi\) |
0.841902 | + | 0.539631i | \(0.181436\pi\) | |||||||
\(978\) | 28.1154 | + | 49.9831i | 0.899032 | + | 1.59828i | ||||
\(979\) | 22.7551 | − | 5.39305i | 0.727255 | − | 0.172363i | ||||
\(980\) | 15.7176 | − | 25.9630i | 0.502082 | − | 0.829356i | ||||
\(981\) | −0.0520326 | + | 0.438889i | −0.00166127 | + | 0.0140127i | ||||
\(982\) | −9.03715 | + | 15.2840i | −0.288387 | + | 0.487731i | ||||
\(983\) | −1.32804 | + | 0.873464i | −0.0423578 | + | 0.0278592i | −0.570511 | − | 0.821290i | \(-0.693255\pi\) |
0.528153 | + | 0.849149i | \(0.322885\pi\) | |||||||
\(984\) | −17.6693 | + | 15.6329i | −0.563275 | + | 0.498358i | ||||
\(985\) | −18.4835 | + | 2.16041i | −0.588932 | + | 0.0688363i | ||||
\(986\) | −55.0435 | − | 13.6509i | −1.75294 | − | 0.434733i | ||||
\(987\) | 2.32715 | − | 3.12052i | 0.0740739 | − | 0.0993274i | ||||
\(988\) | 3.76287 | − | 27.2683i | 0.119713 | − | 0.867521i | ||||
\(989\) | −37.9433 | − | 31.8382i | −1.20653 | − | 1.01240i | ||||
\(990\) | −36.7342 | + | 17.8983i | −1.16749 | + | 0.568845i | ||||
\(991\) | −23.2888 | − | 27.7546i | −0.739795 | − | 0.881653i | 0.256598 | − | 0.966518i | \(-0.417398\pi\) |
−0.996392 | + | 0.0848655i | \(0.972954\pi\) | |||||||
\(992\) | 17.2176 | + | 9.79771i | 0.546660 | + | 0.311078i | ||||
\(993\) | 2.05452 | − | 5.63031i | 0.0651983 | − | 0.178672i | ||||
\(994\) | −4.91750 | + | 0.523062i | −0.155974 | + | 0.0165905i | ||||
\(995\) | −9.94099 | + | 41.9443i | −0.315150 | + | 1.32972i | ||||
\(996\) | −20.6145 | + | 9.80139i | −0.653196 | + | 0.310569i | ||||
\(997\) | 6.08860 | − | 52.0913i | 0.192828 | − | 1.64975i | −0.456855 | − | 0.889541i | \(-0.651024\pi\) |
0.649683 | − | 0.760206i | \(-0.274902\pi\) | |||||||
\(998\) | 18.2875 | − | 48.6658i | 0.578881 | − | 1.54049i | ||||
\(999\) | −37.4948 | − | 13.7521i | −1.18628 | − | 0.435098i |
(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 | 648.2.bb.b.131.69 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.131.96 | yes | 1872 | |
81.47 | odd | 54 | inner | 648.2.bb.b.371.96 | yes | 1872 | |
648.371 | even | 54 | inner | 648.2.bb.b.371.69 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.131.69 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.131.96 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.371.69 | yes | 1872 | 648.371 | even | 54 | inner | |
648.2.bb.b.371.96 | yes | 1872 | 81.47 | odd | 54 | inner |