Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,2,Mod(19,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 84 = 2^{2} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 84.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.670743376979\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.562828176.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + x^{6} + 2x^{5} - 6x^{4} + 4x^{3} + 4x^{2} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Root | \(-1.33790 - 0.458297i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 84.19 |
Dual form | 84.2.o.b.31.2 |
$q$-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 \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(43\) | \(73\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.272050 | + | 1.38780i | −0.192369 | + | 0.981323i | ||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | −1.85198 | − | 0.755103i | −0.925989 | − | 0.377551i | ||||
\(5\) | 2.12403 | + | 1.22631i | 0.949894 | + | 0.548422i | 0.893048 | − | 0.449961i | \(-0.148562\pi\) |
0.0568460 | + | 0.998383i | \(0.481896\pi\) | |||||||
\(6\) | −1.33790 | + | 0.458297i | −0.546193 | + | 0.187099i | ||||
\(7\) | −2.63169 | + | 0.272415i | −0.994685 | + | 0.102963i | ||||
\(8\) | 1.55176 | − | 2.36475i | 0.548631 | − | 0.836065i | ||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −2.27971 | + | 2.61411i | −0.720908 | + | 0.826653i | ||||
\(11\) | 1.09586 | − | 0.632697i | 0.330415 | − | 0.190765i | −0.325610 | − | 0.945504i | \(-0.605570\pi\) |
0.656025 | + | 0.754739i | \(0.272236\pi\) | |||||||
\(12\) | −0.272050 | − | 1.98141i | −0.0785342 | − | 0.571984i | ||||
\(13\) | − | 2.99744i | − | 0.831342i | −0.909515 | − | 0.415671i | \(-0.863547\pi\) | ||
0.909515 | − | 0.415671i | \(-0.136453\pi\) | |||||||
\(14\) | 0.337895 | − | 3.72637i | 0.0903063 | − | 0.995914i | ||||
\(15\) | 2.45262i | 0.633263i | ||||||||
\(16\) | 2.85964 | + | 2.79687i | 0.714910 | + | 0.699217i | ||||
\(17\) | 1.58759 | − | 0.916595i | 0.385047 | − | 0.222307i | −0.294965 | − | 0.955508i | \(-0.595308\pi\) |
0.680012 | + | 0.733201i | \(0.261975\pi\) | |||||||
\(18\) | −1.06584 | − | 0.929502i | −0.251222 | − | 0.219086i | ||||
\(19\) | 2.07993 | − | 3.60254i | 0.477168 | − | 0.826479i | −0.522490 | − | 0.852646i | \(-0.674997\pi\) |
0.999658 | + | 0.0261665i | \(0.00833000\pi\) | |||||||
\(20\) | −3.00766 | − | 3.87495i | −0.672534 | − | 0.866466i | ||||
\(21\) | −1.55176 | − | 2.14290i | −0.338622 | − | 0.467620i | ||||
\(22\) | 0.579927 | + | 1.69296i | 0.123641 | + | 0.360941i | ||||
\(23\) | 5.83564 | + | 3.36921i | 1.21682 | + | 0.702529i | 0.964236 | − | 0.265047i | \(-0.0853874\pi\) |
0.252580 | + | 0.967576i | \(0.418721\pi\) | |||||||
\(24\) | 2.82381 | + | 0.161492i | 0.576408 | + | 0.0329644i | ||||
\(25\) | 0.507662 | + | 0.879296i | 0.101532 | + | 0.175859i | ||||
\(26\) | 4.15985 | + | 0.815456i | 0.815814 | + | 0.159924i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 5.07953 | + | 1.48269i | 0.959941 | + | 0.280202i | ||||
\(29\) | −9.42323 | −1.74985 | −0.874925 | − | 0.484258i | \(-0.839090\pi\) | ||||
−0.874925 | + | 0.484258i | \(0.839090\pi\) | |||||||
\(30\) | −3.40374 | − | 0.667235i | −0.621435 | − | 0.121820i | ||||
\(31\) | −4.71989 | − | 8.17509i | −0.847717 | − | 1.46829i | −0.883240 | − | 0.468921i | \(-0.844643\pi\) |
0.0355228 | − | 0.999369i | \(-0.488690\pi\) | |||||||
\(32\) | −4.65946 | + | 3.20772i | −0.823683 | + | 0.567050i | ||||
\(33\) | 1.09586 | + | 0.632697i | 0.190765 | + | 0.110138i | ||||
\(34\) | 0.840146 | + | 2.45262i | 0.144084 | + | 0.420620i | ||||
\(35\) | −5.92385 | − | 2.64865i | −1.00131 | − | 0.447703i | ||||
\(36\) | 1.57993 | − | 1.22631i | 0.263321 | − | 0.204385i | ||||
\(37\) | −3.75572 | + | 6.50509i | −0.617436 | + | 1.06943i | 0.372516 | + | 0.928026i | \(0.378495\pi\) |
−0.989952 | + | 0.141405i | \(0.954838\pi\) | |||||||
\(38\) | 4.43376 | + | 3.86659i | 0.719251 | + | 0.627244i | ||||
\(39\) | 2.59586 | − | 1.49872i | 0.415671 | − | 0.239988i | ||||
\(40\) | 6.19590 | − | 3.11985i | 0.979657 | − | 0.493292i | ||||
\(41\) | 1.08966i | 0.170176i | 0.996373 | + | 0.0850880i | \(0.0271171\pi\) | ||||
−0.996373 | + | 0.0850880i | \(0.972883\pi\) | |||||||
\(42\) | 3.39608 | − | 1.57056i | 0.524026 | − | 0.242342i | ||||
\(43\) | 6.27176i | 0.956435i | 0.878241 | + | 0.478218i | \(0.158717\pi\) | ||||
−0.878241 | + | 0.478218i | \(0.841283\pi\) | |||||||
\(44\) | −2.50727 | + | 0.344251i | −0.377984 | + | 0.0518978i | ||||
\(45\) | −2.12403 | + | 1.22631i | −0.316631 | + | 0.182807i | ||||
\(46\) | −6.26338 | + | 7.18211i | −0.923485 | + | 1.05894i | ||||
\(47\) | −3.67579 | + | 6.36666i | −0.536169 | + | 0.928672i | 0.462937 | + | 0.886391i | \(0.346796\pi\) |
−0.999106 | + | 0.0422808i | \(0.986538\pi\) | |||||||
\(48\) | −0.992338 | + | 3.87495i | −0.143232 | + | 0.559301i | ||||
\(49\) | 6.85158 | − | 1.43382i | 0.978797 | − | 0.204832i | ||||
\(50\) | −1.35840 | + | 0.465320i | −0.192106 | + | 0.0658063i | ||||
\(51\) | 1.58759 | + | 0.916595i | 0.222307 | + | 0.128349i | ||||
\(52\) | −2.26338 | + | 5.55120i | −0.313874 | + | 0.769813i | ||||
\(53\) | 0.0358262 | + | 0.0620528i | 0.00492111 | + | 0.00852361i | 0.868475 | − | 0.495732i | \(-0.165100\pi\) |
−0.863554 | + | 0.504256i | \(0.831767\pi\) | |||||||
\(54\) | 0.272050 | − | 1.38780i | 0.0370214 | − | 0.188856i | ||||
\(55\) | 3.10353 | 0.418479 | ||||||||
\(56\) | −3.43957 | + | 6.64601i | −0.459631 | + | 0.888110i | ||||
\(57\) | 4.15985 | 0.550986 | ||||||||
\(58\) | 2.56359 | − | 13.0776i | 0.336616 | − | 1.71717i | ||||
\(59\) | −1.68345 | − | 2.91583i | −0.219167 | − | 0.379608i | 0.735387 | − | 0.677648i | \(-0.237001\pi\) |
−0.954553 | + | 0.298040i | \(0.903667\pi\) | |||||||
\(60\) | 1.85198 | − | 4.54219i | 0.239089 | − | 0.586394i | ||||
\(61\) | −9.61496 | − | 5.55120i | −1.23107 | − | 0.710758i | −0.263817 | − | 0.964573i | \(-0.584981\pi\) |
−0.967253 | + | 0.253815i | \(0.918315\pi\) | |||||||
\(62\) | 12.6294 | − | 4.32623i | 1.60394 | − | 0.549432i | ||||
\(63\) | 1.07993 | − | 2.41532i | 0.136058 | − | 0.304301i | ||||
\(64\) | −3.18406 | − | 7.33906i | −0.398008 | − | 0.917382i | ||||
\(65\) | 3.67579 | − | 6.36666i | 0.455926 | − | 0.789686i | ||||
\(66\) | −1.17619 | + | 1.34871i | −0.144779 | + | 0.166015i | ||||
\(67\) | 2.43151 | − | 1.40383i | 0.297056 | − | 0.171505i | −0.344064 | − | 0.938946i | \(-0.611804\pi\) |
0.641120 | + | 0.767441i | \(0.278470\pi\) | |||||||
\(68\) | −3.63230 | + | 0.498720i | −0.440481 | + | 0.0604787i | ||||
\(69\) | 6.73842i | 0.811211i | ||||||||
\(70\) | 5.28737 | − | 7.50055i | 0.631962 | − | 0.896487i | ||||
\(71\) | 2.92285i | 0.346878i | 0.984845 | + | 0.173439i | \(0.0554880\pi\) | ||||
−0.984845 | + | 0.173439i | \(0.944512\pi\) | |||||||
\(72\) | 1.27205 | + | 2.52624i | 0.149913 | + | 0.297720i | ||||
\(73\) | 7.01910 | − | 4.05248i | 0.821523 | − | 0.474307i | −0.0294183 | − | 0.999567i | \(-0.509365\pi\) |
0.850941 | + | 0.525261i | \(0.176032\pi\) | |||||||
\(74\) | −8.00602 | − | 6.98190i | −0.930681 | − | 0.811629i | ||||
\(75\) | −0.507662 | + | 0.879296i | −0.0586198 | + | 0.101532i | ||||
\(76\) | −6.57226 | + | 5.10126i | −0.753890 | + | 0.585155i | ||||
\(77\) | −2.71162 | + | 1.96359i | −0.309017 | + | 0.223772i | ||||
\(78\) | 1.37372 | + | 4.01027i | 0.155543 | + | 0.454073i | ||||
\(79\) | 1.54471 | + | 0.891841i | 0.173794 | + | 0.100340i | 0.584374 | − | 0.811485i | \(-0.301340\pi\) |
−0.410580 | + | 0.911825i | \(0.634674\pi\) | |||||||
\(80\) | 2.64413 | + | 9.44742i | 0.295623 | + | 1.05625i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −1.51223 | − | 0.296442i | −0.166998 | − | 0.0327365i | ||||
\(83\) | 5.33626 | 0.585730 | 0.292865 | − | 0.956154i | \(-0.405391\pi\) | ||||
0.292865 | + | 0.956154i | \(0.405391\pi\) | |||||||
\(84\) | 1.25572 | + | 5.14035i | 0.137010 | + | 0.560858i | ||||
\(85\) | 4.49611 | 0.487672 | ||||||||
\(86\) | −8.70395 | − | 1.70624i | −0.938572 | − | 0.183988i | ||||
\(87\) | −4.71162 | − | 8.16076i | −0.505138 | − | 0.874925i | ||||
\(88\) | 0.204351 | − | 3.57324i | 0.0217839 | − | 0.380908i | ||||
\(89\) | 7.42323 | + | 4.28581i | 0.786861 | + | 0.454294i | 0.838856 | − | 0.544353i | \(-0.183225\pi\) |
−0.0519952 | + | 0.998647i | \(0.516558\pi\) | |||||||
\(90\) | −1.12403 | − | 3.28134i | −0.118483 | − | 0.345884i | ||||
\(91\) | 0.816548 | + | 7.88834i | 0.0855974 | + | 0.826923i | ||||
\(92\) | −8.26338 | − | 10.6462i | −0.861517 | − | 1.10994i | ||||
\(93\) | 4.71989 | − | 8.17509i | 0.489430 | − | 0.847717i | ||||
\(94\) | −7.83564 | − | 6.83331i | −0.808185 | − | 0.704802i | ||||
\(95\) | 8.83564 | − | 5.10126i | 0.906518 | − | 0.523378i | ||||
\(96\) | −5.10769 | − | 2.43135i | −0.521302 | − | 0.248149i | ||||
\(97\) | 7.10394i | 0.721296i | 0.932702 | + | 0.360648i | \(0.117444\pi\) | ||||
−0.932702 | + | 0.360648i | \(0.882556\pi\) | |||||||
\(98\) | 0.125882 | + | 9.89869i | 0.0127160 | + | 0.999919i | ||||
\(99\) | 1.26539i | 0.127177i | ||||||||
\(100\) | −0.276219 | − | 2.01177i | −0.0276219 | − | 0.201177i | ||||
\(101\) | 0.808273 | − | 0.466657i | 0.0804262 | − | 0.0464341i | −0.459248 | − | 0.888308i | \(-0.651881\pi\) |
0.539674 | + | 0.841874i | \(0.318548\pi\) | |||||||
\(102\) | −1.70395 | + | 1.95390i | −0.168717 | + | 0.193465i | ||||
\(103\) | −2.06460 | + | 3.57600i | −0.203431 | + | 0.352353i | −0.949632 | − | 0.313368i | \(-0.898543\pi\) |
0.746200 | + | 0.665721i | \(0.231876\pi\) | |||||||
\(104\) | −7.08820 | − | 4.65132i | −0.695055 | − | 0.456100i | ||||
\(105\) | −0.668128 | − | 6.45452i | −0.0652026 | − | 0.629897i | ||||
\(106\) | −0.0958634 | + | 0.0328381i | −0.00931108 | + | 0.00318952i | ||||
\(107\) | −11.9878 | − | 6.92118i | −1.15891 | − | 0.669096i | −0.207866 | − | 0.978157i | \(-0.566652\pi\) |
−0.951042 | + | 0.309062i | \(0.899985\pi\) | |||||||
\(108\) | 1.85198 | + | 0.755103i | 0.178207 | + | 0.0726598i | ||||
\(109\) | 0.492338 | + | 0.852754i | 0.0471574 | + | 0.0816791i | 0.888641 | − | 0.458604i | \(-0.151650\pi\) |
−0.841483 | + | 0.540283i | \(0.818317\pi\) | |||||||
\(110\) | −0.844315 | + | 4.30707i | −0.0805023 | + | 0.410663i | ||||
\(111\) | −7.51143 | −0.712954 | ||||||||
\(112\) | −8.28759 | − | 6.58148i | −0.783104 | − | 0.621891i | ||||
\(113\) | 5.03187 | 0.473359 | 0.236679 | − | 0.971588i | \(-0.423941\pi\) | ||||
0.236679 | + | 0.971588i | \(0.423941\pi\) | |||||||
\(114\) | −1.13169 | + | 5.77304i | −0.105992 | + | 0.540695i | ||||
\(115\) | 8.26338 | + | 14.3126i | 0.770564 | + | 1.33466i | ||||
\(116\) | 17.4516 | + | 7.11551i | 1.62034 | + | 0.660659i | ||||
\(117\) | 2.59586 | + | 1.49872i | 0.239988 | + | 0.138557i | ||||
\(118\) | 4.50457 | − | 1.54304i | 0.414679 | − | 0.142049i | ||||
\(119\) | −3.92835 | + | 2.84468i | −0.360111 | + | 0.260771i | ||||
\(120\) | 5.79982 | + | 3.80588i | 0.529449 | + | 0.347428i | ||||
\(121\) | −4.69939 | + | 8.13958i | −0.427217 | + | 0.739962i | ||||
\(122\) | 10.3197 | − | 11.8334i | 0.934302 | − | 1.07135i | ||||
\(123\) | −0.943672 | + | 0.544829i | −0.0850880 | + | 0.0491256i | ||||
\(124\) | 2.56810 | + | 18.7041i | 0.230622 | + | 1.67968i | ||||
\(125\) | − | 9.77288i | − | 0.874113i | ||||||
\(126\) | 3.05818 | + | 2.15581i | 0.272445 | + | 0.192055i | ||||
\(127\) | 6.38337i | 0.566433i | 0.959056 | + | 0.283216i | \(0.0914015\pi\) | ||||
−0.959056 | + | 0.283216i | \(0.908599\pi\) | |||||||
\(128\) | 11.0514 | − | 2.42225i | 0.976812 | − | 0.214099i | ||||
\(129\) | −5.43151 | + | 3.13588i | −0.478218 | + | 0.276099i | ||||
\(130\) | 7.83564 | + | 6.83331i | 0.687231 | + | 0.599321i | ||||
\(131\) | 1.93601 | − | 3.35327i | 0.169150 | − | 0.292976i | −0.768971 | − | 0.639283i | \(-0.779231\pi\) |
0.938121 | + | 0.346307i | \(0.112564\pi\) | |||||||
\(132\) | −1.55176 | − | 1.99923i | −0.135064 | − | 0.174011i | ||||
\(133\) | −4.49234 | + | 10.0474i | −0.389535 | + | 0.871217i | ||||
\(134\) | 1.28674 | + | 3.75636i | 0.111158 | + | 0.324500i | ||||
\(135\) | −2.12403 | − | 1.22631i | −0.182807 | − | 0.105544i | ||||
\(136\) | 0.296046 | − | 5.17659i | 0.0253857 | − | 0.443889i | ||||
\(137\) | 7.35158 | + | 12.7333i | 0.628088 | + | 1.08788i | 0.987935 | + | 0.154869i | \(0.0494955\pi\) |
−0.359847 | + | 0.933011i | \(0.617171\pi\) | |||||||
\(138\) | −9.35158 | − | 1.83319i | −0.796059 | − | 0.156051i | ||||
\(139\) | −2.01655 | −0.171041 | −0.0855207 | − | 0.996336i | \(-0.527255\pi\) | ||||
−0.0855207 | + | 0.996336i | \(0.527255\pi\) | |||||||
\(140\) | 8.97083 | + | 9.37834i | 0.758173 | + | 0.792615i | ||||
\(141\) | −7.35158 | −0.619115 | ||||||||
\(142\) | −4.05633 | − | 0.795162i | −0.340400 | − | 0.0667285i | ||||
\(143\) | −1.89647 | − | 3.28479i | −0.158591 | − | 0.274688i | ||||
\(144\) | −3.85198 | + | 1.07809i | −0.320998 | + | 0.0898406i | ||||
\(145\) | −20.0152 | − | 11.5558i | −1.66217 | − | 0.959656i | ||||
\(146\) | 3.71448 | + | 10.8436i | 0.307413 | + | 0.897421i | ||||
\(147\) | 4.66752 | + | 5.21673i | 0.384970 | + | 0.430269i | ||||
\(148\) | 11.8675 | − | 9.21133i | 0.975504 | − | 0.757167i | ||||
\(149\) | 0.248055 | − | 0.429644i | 0.0203215 | − | 0.0351978i | −0.855686 | − | 0.517496i | \(-0.826864\pi\) |
0.876007 | + | 0.482298i | \(0.160198\pi\) | |||||||
\(150\) | −1.08218 | − | 0.943746i | −0.0883595 | − | 0.0770566i | ||||
\(151\) | 11.4636 | − | 6.61849i | 0.932891 | − | 0.538605i | 0.0451665 | − | 0.998979i | \(-0.485618\pi\) |
0.887725 | + | 0.460374i | \(0.152285\pi\) | |||||||
\(152\) | −5.29154 | − | 10.5088i | −0.429201 | − | 0.852375i | ||||
\(153\) | 1.83319i | 0.148205i | ||||||||
\(154\) | −1.98738 | − | 4.29738i | −0.160147 | − | 0.346292i | ||||
\(155\) | − | 23.1522i | − | 1.85963i | ||||||
\(156\) | −5.93917 | + | 0.815456i | −0.475514 | + | 0.0652887i | ||||
\(157\) | 4.38345 | − | 2.53079i | 0.349838 | − | 0.201979i | −0.314776 | − | 0.949166i | \(-0.601929\pi\) |
0.664614 | + | 0.747187i | \(0.268596\pi\) | |||||||
\(158\) | −1.65794 | + | 1.90113i | −0.131898 | + | 0.151246i | ||||
\(159\) | −0.0358262 | + | 0.0620528i | −0.00284120 | + | 0.00492111i | ||||
\(160\) | −13.8305 | + | 1.09935i | −1.09339 | + | 0.0869115i | ||||
\(161\) | −16.2754 | − | 7.27700i | −1.28268 | − | 0.573508i | ||||
\(162\) | 1.33790 | − | 0.458297i | 0.105115 | − | 0.0360072i | ||||
\(163\) | −10.4232 | − | 6.01786i | −0.816411 | − | 0.471355i | 0.0327665 | − | 0.999463i | \(-0.489568\pi\) |
−0.849177 | + | 0.528108i | \(0.822902\pi\) | |||||||
\(164\) | 0.822804 | − | 2.01802i | 0.0642502 | − | 0.157581i | ||||
\(165\) | 1.55176 | + | 2.68773i | 0.120805 | + | 0.209240i | ||||
\(166\) | −1.45173 | + | 7.40566i | −0.112676 | + | 0.574790i | ||||
\(167\) | 7.46424 | 0.577600 | 0.288800 | − | 0.957389i | \(-0.406744\pi\) | ||||
0.288800 | + | 0.957389i | \(0.406744\pi\) | |||||||
\(168\) | −7.47539 | + | 0.344251i | −0.576739 | + | 0.0265595i | ||||
\(169\) | 4.01532 | 0.308871 | ||||||||
\(170\) | −1.22317 | + | 6.23970i | −0.0938127 | + | 0.478563i | ||||
\(171\) | 2.07993 | + | 3.60254i | 0.159056 | + | 0.275493i | ||||
\(172\) | 4.73583 | − | 11.6152i | 0.361103 | − | 0.885648i | ||||
\(173\) | 3.77932 | + | 2.18199i | 0.287336 | + | 0.165894i | 0.636740 | − | 0.771079i | \(-0.280283\pi\) |
−0.349404 | + | 0.936972i | \(0.613616\pi\) | |||||||
\(174\) | 12.6073 | − | 4.31864i | 0.955757 | − | 0.327396i | ||||
\(175\) | −1.57554 | − | 2.17574i | −0.119100 | − | 0.164471i | ||||
\(176\) | 4.90334 | + | 1.25570i | 0.369603 | + | 0.0946518i | ||||
\(177\) | 1.68345 | − | 2.91583i | 0.126536 | − | 0.219167i | ||||
\(178\) | −7.96733 | + | 9.13601i | −0.597177 | + | 0.684773i | ||||
\(179\) | −21.2754 | + | 12.2834i | −1.59020 | + | 0.918102i | −0.596928 | + | 0.802295i | \(0.703612\pi\) |
−0.993272 | + | 0.115808i | \(0.963054\pi\) | |||||||
\(180\) | 4.85964 | − | 0.667235i | 0.362216 | − | 0.0497328i | ||||
\(181\) | − | 11.7182i | − | 0.871011i | −0.900186 | − | 0.435505i | \(-0.856570\pi\) | ||
0.900186 | − | 0.435505i | \(-0.143430\pi\) | |||||||
\(182\) | −11.1696 | − | 1.01282i | −0.827945 | − | 0.0750754i | ||||
\(183\) | − | 11.1024i | − | 0.820713i | ||||||
\(184\) | 17.0229 | − | 8.57161i | 1.25494 | − | 0.631908i | ||||
\(185\) | −15.9545 | + | 9.21133i | −1.17300 | + | 0.677231i | ||||
\(186\) | 10.0613 | + | 8.77430i | 0.737733 | + | 0.643363i | ||||
\(187\) | 1.15985 | − | 2.00893i | 0.0848169 | − | 0.146907i | ||||
\(188\) | 11.6150 | − | 9.01530i | 0.847108 | − | 0.657508i | ||||
\(189\) | 2.63169 | − | 0.272415i | 0.191427 | − | 0.0198152i | ||||
\(190\) | 4.67579 | + | 13.6499i | 0.339217 | + | 0.990268i | ||||
\(191\) | 13.7628 | + | 7.94594i | 0.995839 | + | 0.574948i | 0.907014 | − | 0.421099i | \(-0.138356\pi\) |
0.0888244 | + | 0.996047i | \(0.471689\pi\) | |||||||
\(192\) | 4.76378 | − | 6.42701i | 0.343796 | − | 0.463829i | ||||
\(193\) | −9.86690 | − | 17.0900i | −0.710235 | − | 1.23016i | −0.964769 | − | 0.263100i | \(-0.915255\pi\) |
0.254533 | − | 0.967064i | \(-0.418078\pi\) | |||||||
\(194\) | −9.85885 | − | 1.93263i | −0.707824 | − | 0.138755i | ||||
\(195\) | 7.35158 | 0.526458 | ||||||||
\(196\) | −13.7717 | − | 2.51824i | −0.983690 | − | 0.179875i | ||||
\(197\) | 0.998775 | 0.0711598 | 0.0355799 | − | 0.999367i | \(-0.488672\pi\) | ||||
0.0355799 | + | 0.999367i | \(0.488672\pi\) | |||||||
\(198\) | −1.75611 | − | 0.344251i | −0.124802 | − | 0.0244648i | ||||
\(199\) | 1.35158 | + | 2.34101i | 0.0958110 | + | 0.165950i | 0.909947 | − | 0.414725i | \(-0.136122\pi\) |
−0.814136 | + | 0.580675i | \(0.802789\pi\) | |||||||
\(200\) | 2.86709 | + | 0.163967i | 0.202734 | + | 0.0115942i | ||||
\(201\) | 2.43151 | + | 1.40383i | 0.171505 | + | 0.0990186i | ||||
\(202\) | 0.427735 | + | 1.24868i | 0.0300953 | + | 0.0878565i | ||||
\(203\) | 24.7990 | − | 2.56703i | 1.74055 | − | 0.180170i | ||||
\(204\) | −2.24806 | − | 2.89631i | −0.157395 | − | 0.202782i | ||||
\(205\) | −1.33626 | + | 2.31446i | −0.0933282 | + | 0.161649i | ||||
\(206\) | −4.40109 | − | 3.83811i | −0.306639 | − | 0.267414i | ||||
\(207\) | −5.83564 | + | 3.36921i | −0.405605 | + | 0.234176i | ||||
\(208\) | 8.38345 | − | 8.57161i | 0.581288 | − | 0.594334i | ||||
\(209\) | − | 5.26385i | − | 0.364108i | ||||||
\(210\) | 9.13935 | + | 0.828727i | 0.630675 | + | 0.0571876i | ||||
\(211\) | − | 18.1798i | − | 1.25155i | −0.780004 | − | 0.625774i | \(-0.784783\pi\) | ||
0.780004 | − | 0.625774i | \(-0.215217\pi\) | |||||||
\(212\) | −0.0194931 | − | 0.141973i | −0.00133879 | − | 0.00975074i | ||||
\(213\) | −2.53126 | + | 1.46142i | −0.173439 | + | 0.100135i | ||||
\(214\) | 12.8665 | − | 14.7538i | 0.879536 | − | 1.00855i | ||||
\(215\) | −7.69111 | + | 13.3214i | −0.524530 | + | 0.908512i | ||||
\(216\) | −1.55176 | + | 2.36475i | −0.105584 | + | 0.160901i | ||||
\(217\) | 14.6483 | + | 20.2285i | 0.994392 | + | 1.37320i | ||||
\(218\) | −1.31739 | + | 0.451274i | −0.0892251 | + | 0.0305642i | ||||
\(219\) | 7.01910 | + | 4.05248i | 0.474307 | + | 0.273841i | ||||
\(220\) | −5.74766 | − | 2.34348i | −0.387507 | − | 0.157997i | ||||
\(221\) | −2.74744 | − | 4.75871i | −0.184813 | − | 0.320106i | ||||
\(222\) | 2.04349 | − | 10.4244i | 0.137150 | − | 0.699638i | ||||
\(223\) | −11.5996 | −0.776769 | −0.388385 | − | 0.921497i | \(-0.626967\pi\) | ||||
−0.388385 | + | 0.921497i | \(0.626967\pi\) | |||||||
\(224\) | 11.3884 | − | 9.71102i | 0.760921 | − | 0.648845i | ||||
\(225\) | −1.01532 | −0.0676883 | ||||||||
\(226\) | −1.36892 | + | 6.98323i | −0.0910594 | + | 0.464518i | ||||
\(227\) | 5.08054 | + | 8.79975i | 0.337207 | + | 0.584060i | 0.983906 | − | 0.178685i | \(-0.0571844\pi\) |
−0.646699 | + | 0.762745i | \(0.723851\pi\) | |||||||
\(228\) | −7.70395 | − | 3.14112i | −0.510207 | − | 0.208026i | ||||
\(229\) | 20.0025 | + | 11.5485i | 1.32181 | + | 0.763145i | 0.984017 | − | 0.178077i | \(-0.0569876\pi\) |
0.337789 | + | 0.941222i | \(0.390321\pi\) | |||||||
\(230\) | −22.1111 | + | 7.57417i | −1.45796 | + | 0.499426i | ||||
\(231\) | −3.05633 | − | 1.36653i | −0.201092 | − | 0.0899113i | ||||
\(232\) | −14.6226 | + | 22.2836i | −0.960022 | + | 1.46299i | ||||
\(233\) | 3.42774 | − | 5.93701i | 0.224558 | − | 0.388947i | −0.731628 | − | 0.681704i | \(-0.761239\pi\) |
0.956187 | + | 0.292757i | \(0.0945727\pi\) | |||||||
\(234\) | −2.78613 | + | 3.19481i | −0.182135 | + | 0.208851i | ||||
\(235\) | −15.6150 | + | 9.01530i | −1.01861 | + | 0.588093i | ||||
\(236\) | 0.915968 | + | 6.67122i | 0.0596244 | + | 0.434260i | ||||
\(237\) | 1.78368i | 0.115863i | ||||||||
\(238\) | −2.87913 | − | 6.22566i | −0.186626 | − | 0.403549i | ||||
\(239\) | 22.2257i | 1.43766i | 0.695184 | + | 0.718832i | \(0.255323\pi\) | ||||
−0.695184 | + | 0.718832i | \(0.744677\pi\) | |||||||
\(240\) | −6.85964 | + | 7.01360i | −0.442788 | + | 0.452726i | ||||
\(241\) | 13.3605 | − | 7.71367i | 0.860623 | − | 0.496881i | −0.00359762 | − | 0.999994i | \(-0.501145\pi\) |
0.864221 | + | 0.503112i | \(0.167812\pi\) | |||||||
\(242\) | −10.0176 | − | 8.73619i | −0.643958 | − | 0.561583i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 13.6150 | + | 17.5410i | 0.871608 | + | 1.12295i | ||||
\(245\) | 16.3113 | + | 5.35667i | 1.04209 | + | 0.342225i | ||||
\(246\) | −0.499388 | − | 1.45785i | −0.0318398 | − | 0.0929490i | ||||
\(247\) | −10.7984 | − | 6.23447i | −0.687087 | − | 0.396690i | ||||
\(248\) | −26.6562 | − | 1.52445i | −1.69267 | − | 0.0968026i | ||||
\(249\) | 2.66813 | + | 4.62133i | 0.169086 | + | 0.292865i | ||||
\(250\) | 13.5628 | + | 2.65872i | 0.857787 | + | 0.168152i | ||||
\(251\) | −22.2954 | −1.40727 | −0.703636 | − | 0.710561i | \(-0.748441\pi\) | ||||
−0.703636 | + | 0.710561i | \(0.748441\pi\) | |||||||
\(252\) | −3.82381 | + | 3.65766i | −0.240878 | + | 0.230411i | ||||
\(253\) | 8.52676 | 0.536073 | ||||||||
\(254\) | −8.85885 | − | 1.73660i | −0.555853 | − | 0.108964i | ||||
\(255\) | 2.24806 | + | 3.89375i | 0.140779 | + | 0.243836i | ||||
\(256\) | 0.355074 | + | 15.9961i | 0.0221921 | + | 0.999754i | ||||
\(257\) | 2.48529 | + | 1.43488i | 0.155028 | + | 0.0895055i | 0.575507 | − | 0.817797i | \(-0.304805\pi\) |
−0.420479 | + | 0.907302i | \(0.638138\pi\) | |||||||
\(258\) | −2.87433 | − | 8.39096i | −0.178948 | − | 0.522399i | ||||
\(259\) | 8.11180 | − | 18.1425i | 0.504043 | − | 1.12732i | ||||
\(260\) | −11.6150 | + | 9.01530i | −0.720329 | + | 0.559105i | ||||
\(261\) | 4.71162 | − | 8.16076i | 0.291642 | − | 0.505138i | ||||
\(262\) | 4.12697 | + | 3.59905i | 0.254965 | + | 0.222350i | ||||
\(263\) | −8.98186 | + | 5.18568i | −0.553845 | + | 0.319763i | −0.750672 | − | 0.660676i | \(-0.770270\pi\) |
0.196826 | + | 0.980438i | \(0.436937\pi\) | |||||||
\(264\) | 3.19669 | − | 1.60964i | 0.196743 | − | 0.0990668i | ||||
\(265\) | 0.175736i | 0.0107954i | ||||||||
\(266\) | −12.7216 | − | 8.96786i | −0.780011 | − | 0.549855i | ||||
\(267\) | 8.57161i | 0.524574i | ||||||||
\(268\) | −5.56313 | + | 0.763826i | −0.339822 | + | 0.0466581i | ||||
\(269\) | 4.48011 | − | 2.58659i | 0.273157 | − | 0.157707i | −0.357164 | − | 0.934042i | \(-0.616256\pi\) |
0.630322 | + | 0.776334i | \(0.282923\pi\) | |||||||
\(270\) | 2.27971 | − | 2.61411i | 0.138739 | − | 0.159090i | ||||
\(271\) | 12.1195 | − | 20.9916i | 0.736209 | − | 1.27515i | −0.217982 | − | 0.975953i | \(-0.569947\pi\) |
0.954191 | − | 0.299198i | \(-0.0967192\pi\) | |||||||
\(272\) | 7.10353 | + | 1.81914i | 0.430714 | + | 0.110302i | ||||
\(273\) | −6.42323 | + | 4.65132i | −0.388752 | + | 0.281511i | ||||
\(274\) | −19.6713 | + | 6.73842i | −1.18839 | + | 0.407083i | ||||
\(275\) | 1.11266 | + | 0.642393i | 0.0670957 | + | 0.0387377i | ||||
\(276\) | 5.08820 | − | 12.4794i | 0.306274 | − | 0.751172i | ||||
\(277\) | 1.50766 | + | 2.61135i | 0.0905866 | + | 0.156901i | 0.907758 | − | 0.419494i | \(-0.137792\pi\) |
−0.817171 | + | 0.576395i | \(0.804459\pi\) | |||||||
\(278\) | 0.548603 | − | 2.79857i | 0.0329030 | − | 0.167847i | ||||
\(279\) | 9.43978 | 0.565145 | ||||||||
\(280\) | −15.4558 | + | 9.89833i | −0.923660 | + | 0.591538i | ||||
\(281\) | −6.91922 | −0.412766 | −0.206383 | − | 0.978471i | \(-0.566169\pi\) | ||||
−0.206383 | + | 0.978471i | \(0.566169\pi\) | |||||||
\(282\) | 2.00000 | − | 10.2025i | 0.119098 | − | 0.607551i | ||||
\(283\) | 10.2870 | + | 17.8176i | 0.611497 | + | 1.05914i | 0.990988 | + | 0.133949i | \(0.0427658\pi\) |
−0.379491 | + | 0.925195i | \(0.623901\pi\) | |||||||
\(284\) | 2.20705 | − | 5.41305i | 0.130964 | − | 0.321205i | ||||
\(285\) | 8.83564 | + | 5.10126i | 0.523378 | + | 0.302173i | ||||
\(286\) | 5.07457 | − | 1.73830i | 0.300066 | − | 0.102788i | ||||
\(287\) | −0.296839 | − | 2.86764i | −0.0175218 | − | 0.169272i | ||||
\(288\) | −0.448237 | − | 5.63907i | −0.0264126 | − | 0.332285i | ||||
\(289\) | −6.81971 | + | 11.8121i | −0.401159 | + | 0.694828i | ||||
\(290\) | 21.4823 | − | 24.6333i | 1.26148 | − | 1.44652i | ||||
\(291\) | −6.15219 | + | 3.55197i | −0.360648 | + | 0.208220i | ||||
\(292\) | −16.0592 | + | 2.20496i | −0.939796 | + | 0.129035i | ||||
\(293\) | 28.3113i | 1.65396i | 0.562229 | + | 0.826982i | \(0.309944\pi\) | ||||
−0.562229 | + | 0.826982i | \(0.690056\pi\) | |||||||
\(294\) | −8.50958 | + | 5.05836i | −0.496289 | + | 0.295010i | ||||
\(295\) | − | 8.25772i | − | 0.480783i | ||||||
\(296\) | 9.55492 | + | 18.9757i | 0.555369 | + | 1.10294i | ||||
\(297\) | −1.09586 | + | 0.632697i | −0.0635884 | + | 0.0367128i | ||||
\(298\) | 0.528777 | + | 0.461136i | 0.0306312 | + | 0.0267129i | ||||
\(299\) | 10.0990 | − | 17.4920i | 0.584042 | − | 1.01159i | ||||
\(300\) | 1.60414 | − | 1.24510i | 0.0926149 | − | 0.0718859i | ||||
\(301\) | −1.70852 | − | 16.5053i | −0.0984775 | − | 0.951352i | ||||
\(302\) | 6.06647 | + | 17.7097i | 0.349086 | + | 1.01908i | ||||
\(303\) | 0.808273 | + | 0.466657i | 0.0464341 | + | 0.0268087i | ||||
\(304\) | 16.0237 | − | 4.48468i | 0.919020 | − | 0.257214i | ||||
\(305\) | −13.6150 | − | 23.5818i | −0.779590 | − | 1.35029i | ||||
\(306\) | −2.54410 | − | 0.498720i | −0.145437 | − | 0.0285099i | ||||
\(307\) | 8.65596 | 0.494022 | 0.247011 | − | 0.969013i | \(-0.420552\pi\) | ||||
0.247011 | + | 0.969013i | \(0.420552\pi\) | |||||||
\(308\) | 6.50457 | − | 1.58898i | 0.370632 | − | 0.0905404i | ||||
\(309\) | −4.12921 | −0.234902 | ||||||||
\(310\) | 32.1306 | + | 6.29855i | 1.82489 | + | 0.357734i | ||||
\(311\) | 4.67129 | + | 8.09091i | 0.264884 | + | 0.458793i | 0.967533 | − | 0.252743i | \(-0.0813329\pi\) |
−0.702649 | + | 0.711537i | \(0.748000\pi\) | |||||||
\(312\) | 0.484063 | − | 8.46422i | 0.0274047 | − | 0.479192i | ||||
\(313\) | −6.38734 | − | 3.68773i | −0.361034 | − | 0.208443i | 0.308500 | − | 0.951224i | \(-0.400173\pi\) |
−0.669534 | + | 0.742781i | \(0.733506\pi\) | |||||||
\(314\) | 2.31971 | + | 6.77186i | 0.130909 | + | 0.382158i | ||||
\(315\) | 5.25572 | − | 3.80588i | 0.296126 | − | 0.214437i | ||||
\(316\) | −2.18734 | − | 2.81809i | −0.123048 | − | 0.158530i | ||||
\(317\) | 1.81514 | − | 3.14392i | 0.101949 | − | 0.176580i | −0.810539 | − | 0.585685i | \(-0.800826\pi\) |
0.912487 | + | 0.409105i | \(0.134159\pi\) | |||||||
\(318\) | −0.0763704 | − | 0.0666011i | −0.00428264 | − | 0.00373480i | ||||
\(319\) | −10.3266 | + | 5.96205i | −0.578177 | + | 0.333811i | ||||
\(320\) | 2.23690 | − | 19.4930i | 0.125047 | − | 1.08969i | ||||
\(321\) | − | 13.8424i | − | 0.772605i | ||||||
\(322\) | 14.5268 | − | 20.6073i | 0.809545 | − | 1.14840i | ||||
\(323\) | − | 7.62580i | − | 0.424311i | ||||||
\(324\) | 0.272050 | + | 1.98141i | 0.0151139 | + | 0.110078i | ||||
\(325\) | 2.63564 | − | 1.52169i | 0.146199 | − | 0.0844081i | ||||
\(326\) | 11.1872 | − | 12.8282i | 0.619603 | − | 0.710488i | ||||
\(327\) | −0.492338 | + | 0.852754i | −0.0272264 | + | 0.0471574i | ||||
\(328\) | 2.57677 | + | 1.69089i | 0.142278 | + | 0.0933638i | ||||
\(329\) | 7.93917 | − | 17.7564i | 0.437701 | − | 0.978942i | ||||
\(330\) | −4.15219 | + | 1.42234i | −0.228571 | + | 0.0782971i | ||||
\(331\) | 0.544164 | + | 0.314173i | 0.0299100 | + | 0.0172685i | 0.514880 | − | 0.857262i | \(-0.327836\pi\) |
−0.484970 | + | 0.874531i | \(0.661170\pi\) | |||||||
\(332\) | −9.88263 | − | 4.02942i | −0.542380 | − | 0.221143i | ||||
\(333\) | −3.75572 | − | 6.50509i | −0.205812 | − | 0.356477i | ||||
\(334\) | −2.03065 | + | 10.3589i | −0.111112 | + | 0.566812i | ||||
\(335\) | 6.88612 | 0.376229 | ||||||||
\(336\) | 1.55593 | − | 10.4680i | 0.0848830 | − | 0.571076i | ||||
\(337\) | −22.3119 | −1.21541 | −0.607704 | − | 0.794164i | \(-0.707909\pi\) | ||||
−0.607704 | + | 0.794164i | \(0.707909\pi\) | |||||||
\(338\) | −1.09237 | + | 5.57247i | −0.0594171 | + | 0.303102i | ||||
\(339\) | 2.51594 | + | 4.35773i | 0.136647 | + | 0.236679i | ||||
\(340\) | −8.32669 | − | 3.39503i | −0.451578 | − | 0.184121i | ||||
\(341\) | −10.3447 | − | 5.97252i | −0.560198 | − | 0.323430i | ||||
\(342\) | −5.56545 | + | 1.90645i | −0.300945 | + | 0.103089i | ||||
\(343\) | −17.6406 | + | 5.63984i | −0.952505 | + | 0.304523i | ||||
\(344\) | 14.8311 | + | 9.73229i | 0.799642 | + | 0.524730i | ||||
\(345\) | −8.26338 | + | 14.3126i | −0.444885 | + | 0.770564i | ||||
\(346\) | −4.05633 | + | 4.65132i | −0.218070 | + | 0.250057i | ||||
\(347\) | 5.97104 | − | 3.44738i | 0.320542 | − | 0.185065i | −0.331092 | − | 0.943598i | \(-0.607417\pi\) |
0.651634 | + | 0.758533i | \(0.274084\pi\) | |||||||
\(348\) | 2.56359 | + | 18.6713i | 0.137423 | + | 1.00089i | ||||
\(349\) | − | 13.4768i | − | 0.721399i | −0.932682 | − | 0.360699i | \(-0.882538\pi\) | ||
0.932682 | − | 0.360699i | \(-0.117462\pi\) | |||||||
\(350\) | 3.44812 | − | 1.59463i | 0.184310 | − | 0.0852364i | ||||
\(351\) | 2.99744i | 0.159992i | ||||||||
\(352\) | −3.07661 | + | 6.46325i | −0.163984 | + | 0.344492i | ||||
\(353\) | −24.7550 | + | 14.2923i | −1.31758 | + | 0.760702i | −0.983338 | − | 0.181787i | \(-0.941812\pi\) |
−0.334237 | + | 0.942489i | \(0.608479\pi\) | |||||||
\(354\) | 3.58860 | + | 3.12955i | 0.190732 | + | 0.166334i | ||||
\(355\) | −3.58431 | + | 6.20821i | −0.190236 | + | 0.329498i | ||||
\(356\) | −10.5114 | − | 13.5425i | −0.557105 | − | 0.717752i | ||||
\(357\) | −4.42774 | − | 1.97971i | −0.234341 | − | 0.104777i | ||||
\(358\) | −11.2589 | − | 32.8677i | −0.595050 | − | 1.73711i | ||||
\(359\) | −6.00000 | − | 3.46410i | −0.316668 | − | 0.182828i | 0.333238 | − | 0.942843i | \(-0.391859\pi\) |
−0.649906 | + | 0.760014i | \(0.725192\pi\) | |||||||
\(360\) | −0.396078 | + | 6.92573i | −0.0208751 | + | 0.365018i | ||||
\(361\) | 0.847808 | + | 1.46845i | 0.0446215 | + | 0.0772867i | ||||
\(362\) | 16.2626 | + | 3.18795i | 0.854743 | + | 0.167555i | ||||
\(363\) | −9.39878 | −0.493308 | ||||||||
\(364\) | 4.44428 | − | 15.2256i | 0.232944 | − | 0.798039i | ||||
\(365\) | 19.8783 | 1.04048 | ||||||||
\(366\) | 15.4079 | + | 3.02041i | 0.805384 | + | 0.157879i | ||||
\(367\) | −6.47184 | − | 11.2095i | −0.337827 | − | 0.585134i | 0.646197 | − | 0.763171i | \(-0.276359\pi\) |
−0.984024 | + | 0.178037i | \(0.943025\pi\) | |||||||
\(368\) | 7.26460 | + | 25.9562i | 0.378694 | + | 1.35306i | ||||
\(369\) | −0.943672 | − | 0.544829i | −0.0491256 | − | 0.0283627i | ||||
\(370\) | −8.44306 | − | 24.6476i | −0.438934 | − | 1.28137i | ||||
\(371\) | −0.111188 | − | 0.153544i | −0.00577257 | − | 0.00797162i | ||||
\(372\) | −14.9142 | + | 11.5761i | −0.773263 | + | 0.600192i | ||||
\(373\) | −1.53954 | + | 2.66655i | −0.0797141 | + | 0.138069i | −0.903127 | − | 0.429374i | \(-0.858734\pi\) |
0.823412 | + | 0.567443i | \(0.192067\pi\) | |||||||
\(374\) | 2.47245 | + | 2.15617i | 0.127847 | + | 0.111493i | ||||
\(375\) | 8.46356 | − | 4.88644i | 0.437056 | − | 0.252335i | ||||
\(376\) | 9.35158 | + | 18.5719i | 0.482271 | + | 0.957770i | ||||
\(377\) | 28.2456i | 1.45472i | ||||||||
\(378\) | −0.337895 | + | 3.72637i | −0.0173795 | + | 0.191664i | ||||
\(379\) | − | 5.21020i | − | 0.267630i | −0.991006 | − | 0.133815i | \(-0.957277\pi\) | ||
0.991006 | − | 0.133815i | \(-0.0427228\pi\) | |||||||
\(380\) | −20.2154 | + | 2.77560i | −1.03703 | + | 0.142385i | ||||
\(381\) | −5.52816 | + | 3.19169i | −0.283216 | + | 0.163515i | ||||
\(382\) | −14.7715 | + | 16.9383i | −0.755778 | + | 0.866637i | ||||
\(383\) | 19.4353 | − | 33.6629i | 0.993096 | − | 1.72009i | 0.394963 | − | 0.918697i | \(-0.370758\pi\) |
0.598134 | − | 0.801396i | \(-0.295909\pi\) | |||||||
\(384\) | 7.62342 | + | 8.35964i | 0.389031 | + | 0.426601i | ||||
\(385\) | −8.16752 | + | 0.845446i | −0.416255 | + | 0.0430879i | ||||
\(386\) | 26.4018 | − | 9.04395i | 1.34381 | − | 0.460325i | ||||
\(387\) | −5.43151 | − | 3.13588i | −0.276099 | − | 0.159406i | ||||
\(388\) | 5.36420 | − | 13.1563i | 0.272326 | − | 0.667912i | ||||
\(389\) | 1.86752 | + | 3.23463i | 0.0946869 | + | 0.164002i | 0.909478 | − | 0.415752i | \(-0.136482\pi\) |
−0.814791 | + | 0.579755i | \(0.803148\pi\) | |||||||
\(390\) | −2.00000 | + | 10.2025i | −0.101274 | + | 0.516625i | ||||
\(391\) | 12.3528 | 0.624708 | ||||||||
\(392\) | 7.24140 | − | 18.4272i | 0.365746 | − | 0.930715i | ||||
\(393\) | 3.87202 | 0.195318 | ||||||||
\(394\) | −0.271717 | + | 1.38610i | −0.0136889 | + | 0.0698307i | ||||
\(395\) | 2.18734 | + | 3.78859i | 0.110057 | + | 0.190625i | ||||
\(396\) | 0.955503 | − | 2.34348i | 0.0480158 | − | 0.117764i | ||||
\(397\) | −5.81082 | − | 3.35488i | −0.291637 | − | 0.168377i | 0.347043 | − | 0.937849i | \(-0.387186\pi\) |
−0.638680 | + | 0.769473i | \(0.720519\pi\) | |||||||
\(398\) | −3.61655 | + | 1.23885i | −0.181281 | + | 0.0620980i | ||||
\(399\) | −10.9474 | + | 1.13320i | −0.548058 | + | 0.0567312i | ||||
\(400\) | −1.00754 | + | 3.93433i | −0.0503772 | + | 0.196717i | ||||
\(401\) | −2.92385 | + | 5.06425i | −0.146010 | + | 0.252897i | −0.929749 | − | 0.368193i | \(-0.879976\pi\) |
0.783739 | + | 0.621090i | \(0.213310\pi\) | |||||||
\(402\) | −2.60973 | + | 2.99253i | −0.130161 | + | 0.149254i | ||||
\(403\) | −24.5044 | + | 14.1476i | −1.22065 | + | 0.704743i | ||||
\(404\) | −1.84928 | + | 0.253908i | −0.0920050 | + | 0.0126324i | ||||
\(405\) | − | 2.45262i | − | 0.121871i | ||||||
\(406\) | −3.18406 | + | 35.1144i | −0.158022 | + | 1.74270i | ||||
\(407\) | 9.50492i | 0.471142i | ||||||||
\(408\) | 4.63108 | − | 2.33191i | 0.229272 | − | 0.115447i | ||||
\(409\) | −26.7299 | + | 15.4325i | −1.32171 | + | 0.763089i | −0.984001 | − | 0.178162i | \(-0.942985\pi\) |
−0.337708 | + | 0.941251i | \(0.609652\pi\) | |||||||
\(410\) | −2.84848 | − | 2.48411i | −0.140677 | − | 0.122681i | ||||
\(411\) | −7.35158 | + | 12.7333i | −0.362627 | + | 0.628088i | ||||
\(412\) | 6.52384 | − | 5.06368i | 0.321407 | − | 0.249469i | ||||
\(413\) | 5.22464 | + | 7.21495i | 0.257088 | + | 0.355024i | ||||
\(414\) | −3.08820 | − | 9.01530i | −0.151777 | − | 0.443078i | ||||
\(415\) | 11.3344 | + | 6.54389i | 0.556382 | + | 0.321227i | ||||
\(416\) | 9.61496 | + | 13.9665i | 0.471412 | + | 0.684762i | ||||
\(417\) | −1.00827 | − | 1.74638i | −0.0493754 | − | 0.0855207i | ||||
\(418\) | 7.30518 | + | 1.43203i | 0.357308 | + | 0.0700430i | ||||
\(419\) | −29.0866 | −1.42097 | −0.710487 | − | 0.703710i | \(-0.751525\pi\) | ||||
−0.710487 | + | 0.703710i | \(0.751525\pi\) | |||||||
\(420\) | −3.63647 | + | 12.4581i | −0.177442 | + | 0.607895i | ||||
\(421\) | 13.8642 | 0.675702 | 0.337851 | − | 0.941200i | \(-0.390300\pi\) | ||||
0.337851 | + | 0.941200i | \(0.390300\pi\) | |||||||
\(422\) | 25.2299 | + | 4.94582i | 1.22817 | + | 0.240759i | ||||
\(423\) | −3.67579 | − | 6.36666i | −0.178723 | − | 0.309557i | ||||
\(424\) | 0.202333 | + | 0.0115713i | 0.00982616 | + | 0.000561952i | ||||
\(425\) | 1.61192 | + | 0.930641i | 0.0781895 | + | 0.0451427i | ||||
\(426\) | −1.33953 | − | 3.91046i | −0.0649006 | − | 0.189463i | ||||
\(427\) | 26.8158 | + | 11.9898i | 1.29771 | + | 0.580226i | ||||
\(428\) | 16.9750 | + | 21.8699i | 0.820517 | + | 1.05712i | ||||
\(429\) | 1.89647 | − | 3.28479i | 0.0915627 | − | 0.158591i | ||||
\(430\) | −16.3951 | − | 14.2978i | −0.790640 | − | 0.689502i | ||||
\(431\) | 27.6258 | − | 15.9498i | 1.33069 | − | 0.768273i | 0.345282 | − | 0.938499i | \(-0.387783\pi\) |
0.985405 | + | 0.170226i | \(0.0544499\pi\) | |||||||
\(432\) | −2.85964 | − | 2.79687i | −0.137584 | − | 0.134564i | ||||
\(433\) | − | 9.82239i | − | 0.472034i | −0.971749 | − | 0.236017i | \(-0.924158\pi\) | ||
0.971749 | − | 0.236017i | \(-0.0758421\pi\) | |||||||
\(434\) | −32.0582 | + | 14.8257i | −1.53884 | + | 0.711658i | ||||
\(435\) | − | 23.1116i | − | 1.10811i | ||||||
\(436\) | −0.267881 | − | 1.95105i | −0.0128292 | − | 0.0934382i | ||||
\(437\) | 24.2754 | − | 14.0154i | 1.16125 | − | 0.670449i | ||||
\(438\) | −7.53358 | + | 8.63862i | −0.359968 | + | 0.412769i | ||||
\(439\) | −8.51989 | + | 14.7569i | −0.406632 | + | 0.704308i | −0.994510 | − | 0.104642i | \(-0.966630\pi\) |
0.587878 | + | 0.808950i | \(0.299964\pi\) | |||||||
\(440\) | 4.81594 | − | 7.33906i | 0.229591 | − | 0.349876i | ||||
\(441\) | −2.18406 | + | 6.65055i | −0.104003 | + | 0.316693i | ||||
\(442\) | 7.35158 | − | 2.51829i | 0.349679 | − | 0.119783i | ||||
\(443\) | −7.30000 | − | 4.21466i | −0.346833 | − | 0.200244i | 0.316456 | − | 0.948607i | \(-0.397507\pi\) |
−0.663290 | + | 0.748363i | \(0.730840\pi\) | |||||||
\(444\) | 13.9110 | + | 5.67191i | 0.660187 | + | 0.269177i | ||||
\(445\) | 10.5114 | + | 18.2063i | 0.498290 | + | 0.863063i | ||||
\(446\) | 3.15568 | − | 16.0980i | 0.149426 | − | 0.762261i | ||||
\(447\) | 0.496110 | 0.0234652 | ||||||||
\(448\) | 10.3787 | + | 18.4467i | 0.490349 | + | 0.871526i | ||||
\(449\) | 9.64064 | 0.454970 | 0.227485 | − | 0.973782i | \(-0.426950\pi\) | ||||
0.227485 | + | 0.973782i | \(0.426950\pi\) | |||||||
\(450\) | 0.276219 | − | 1.40907i | 0.0130211 | − | 0.0664240i | ||||
\(451\) | 0.689424 | + | 1.19412i | 0.0324637 | + | 0.0562288i | ||||
\(452\) | −9.31891 | − | 3.79958i | −0.438325 | − | 0.178717i | ||||
\(453\) | 11.4636 | + | 6.61849i | 0.538605 | + | 0.310964i | ||||
\(454\) | −13.5945 | + | 4.65680i | −0.638020 | + | 0.218554i | ||||
\(455\) | −7.93917 | + | 17.7564i | −0.372194 | + | 0.832433i | ||||
\(456\) | 6.45511 | − | 9.83701i | 0.302288 | − | 0.460660i | ||||
\(457\) | 14.5229 | − | 25.1543i | 0.679351 | − | 1.17667i | −0.295825 | − | 0.955242i | \(-0.595595\pi\) |
0.975177 | − | 0.221429i | \(-0.0710720\pi\) | |||||||
\(458\) | −21.4687 | + | 24.6178i | −1.00317 | + | 1.15031i | ||||
\(459\) | −1.58759 | + | 0.916595i | −0.0741023 | + | 0.0427830i | ||||
\(460\) | −4.49611 | − | 32.7463i | −0.209632 | − | 1.52680i | ||||
\(461\) | − | 23.9796i | − | 1.11684i | −0.829559 | − | 0.558420i | \(-0.811408\pi\) | ||
0.829559 | − | 0.558420i | \(-0.188592\pi\) | |||||||
\(462\) | 2.72795 | − | 3.86981i | 0.126916 | − | 0.180040i | ||||
\(463\) | 28.4975i | 1.32439i | 0.749331 | + | 0.662196i | \(0.230375\pi\) | ||||
−0.749331 | + | 0.662196i | \(0.769625\pi\) | |||||||
\(464\) | −26.9470 | − | 26.3555i | −1.25099 | − | 1.22352i | ||||
\(465\) | 20.0504 | − | 11.5761i | 0.929813 | − | 0.536828i | ||||
\(466\) | 7.30687 | + | 6.37218i | 0.338484 | + | 0.295185i | ||||
\(467\) | −9.29075 | + | 16.0921i | −0.429925 | + | 0.744651i | −0.996866 | − | 0.0791067i | \(-0.974793\pi\) |
0.566942 | + | 0.823758i | \(0.308127\pi\) | |||||||
\(468\) | −3.67579 | − | 4.73574i | −0.169913 | − | 0.218910i | ||||
\(469\) | −6.01655 | + | 4.35683i | −0.277818 | + | 0.201180i | ||||
\(470\) | −8.26338 | − | 24.1231i | −0.381161 | − | 1.11271i | ||||
\(471\) | 4.38345 | + | 2.53079i | 0.201979 | + | 0.116613i | ||||
\(472\) | −9.50751 | − | 0.543728i | −0.437619 | − | 0.0250271i | ||||
\(473\) | 3.96813 | + | 6.87300i | 0.182455 | + | 0.316021i | ||||
\(474\) | −2.47539 | − | 0.485251i | −0.113699 | − | 0.0222883i | ||||
\(475\) | 4.22360 | 0.193792 | ||||||||
\(476\) | 9.42323 | − | 2.30197i | 0.431913 | − | 0.105511i | ||||
\(477\) | −0.0716524 | −0.00328074 | ||||||||
\(478\) | −30.8449 | − | 6.04652i | −1.41081 | − | 0.276561i | ||||
\(479\) | −14.1707 | − | 24.5443i | −0.647475 | − | 1.12146i | −0.983724 | − | 0.179686i | \(-0.942492\pi\) |
0.336249 | − | 0.941773i | \(-0.390842\pi\) | |||||||
\(480\) | −7.86730 | − | 11.4279i | −0.359092 | − | 0.521608i | ||||
\(481\) | 19.4987 | + | 11.2576i | 0.889062 | + | 0.513300i | ||||
\(482\) | 7.07031 | + | 20.6402i | 0.322044 | + | 0.940134i | ||||
\(483\) | −1.83564 | − | 17.7334i | −0.0835247 | − | 0.806899i | ||||
\(484\) | 14.8494 | − | 11.5258i | 0.674972 | − | 0.523900i | ||||
\(485\) | −8.71162 | + | 15.0890i | −0.395574 | + | 0.685154i | ||||
\(486\) | 1.06584 | + | 0.929502i | 0.0483477 | + | 0.0421631i | ||||
\(487\) | 35.9498 | − | 20.7556i | 1.62904 | − | 0.940528i | 0.644662 | − | 0.764468i | \(-0.276998\pi\) |
0.984379 | − | 0.176060i | \(-0.0563352\pi\) | |||||||
\(488\) | −28.0473 | + | 14.1228i | −1.26964 | + | 0.639310i | ||||
\(489\) | − | 12.0357i | − | 0.544274i | ||||||
\(490\) | −11.8715 | + | 21.1795i | −0.536298 | + | 0.956791i | ||||
\(491\) | 1.72728i | 0.0779509i | 0.999240 | + | 0.0389755i | \(0.0124094\pi\) | ||||
−0.999240 | + | 0.0389755i | \(0.987591\pi\) | |||||||
\(492\) | 2.15906 | − | 0.296442i | 0.0973380 | − | 0.0133646i | ||||
\(493\) | −14.9602 | + | 8.63729i | −0.673774 | + | 0.389004i | ||||
\(494\) | 11.5899 | − | 13.2899i | 0.521454 | − | 0.597943i | ||||
\(495\) | −1.55176 | + | 2.68773i | −0.0697465 | + | 0.120805i | ||||
\(496\) | 9.36745 | − | 36.5787i | 0.420611 | − | 1.64243i | ||||
\(497\) | −0.796226 | − | 7.69203i | −0.0357156 | − | 0.345035i | ||||
\(498\) | −7.13935 | + | 2.44559i | −0.319922 | + | 0.109590i | ||||
\(499\) | 36.6216 | + | 21.1435i | 1.63941 | + | 0.946514i | 0.981037 | + | 0.193822i | \(0.0620886\pi\) |
0.658373 | + | 0.752691i | \(0.271245\pi\) | |||||||
\(500\) | −7.37953 | + | 18.0991i | −0.330023 | + | 0.809419i | ||||
\(501\) | 3.73212 | + | 6.46422i | 0.166739 | + | 0.288800i | ||||
\(502\) | 6.06547 | − | 30.9415i | 0.270715 | − | 1.38099i | ||||
\(503\) | −4.23770 | −0.188950 | −0.0944748 | − | 0.995527i | \(-0.530117\pi\) | ||||
−0.0944748 | + | 0.995527i | \(0.530117\pi\) | |||||||
\(504\) | −4.03583 | − | 6.30175i | −0.179770 | − | 0.280702i | ||||
\(505\) | 2.28906 | 0.101862 | ||||||||
\(506\) | −2.31971 | + | 11.8334i | −0.103124 | + | 0.526060i | ||||
\(507\) | 2.00766 | + | 3.47737i | 0.0891634 | + | 0.154436i | ||||
\(508\) | 4.82010 | − | 11.8219i | 0.213858 | − | 0.524510i | ||||
\(509\) | −36.1788 | − | 20.8878i | −1.60360 | − | 0.925836i | −0.990760 | − | 0.135626i | \(-0.956695\pi\) |
−0.612836 | − | 0.790210i | \(-0.709971\pi\) | |||||||
\(510\) | −6.01532 | + | 2.06056i | −0.266363 | + | 0.0912429i | ||||
\(511\) | −17.3681 | + | 12.5770i | −0.768321 | + | 0.556372i | ||||
\(512\) | −22.2959 | − | 3.85896i | −0.985350 | − | 0.170544i | ||||
\(513\) | −2.07993 | + | 3.60254i | −0.0918310 | + | 0.159056i | ||||
\(514\) | −2.66745 | + | 3.05872i | −0.117656 | + | 0.134914i | ||||
\(515\) | −8.77055 | + | 5.06368i | −0.386476 | + | 0.223132i | ||||
\(516\) | 12.4269 | − | 1.70624i | 0.547066 | − | 0.0751128i | ||||
\(517\) | 9.30265i | 0.409130i | ||||||||
\(518\) | 22.9713 | + | 16.1932i | 1.00930 | + | 0.711490i | ||||
\(519\) | 4.36398i | 0.191557i | ||||||||
\(520\) | −9.35158 | − | 18.5719i | −0.410094 | − | 0.814430i | ||||
\(521\) | 30.2681 | − | 17.4753i | 1.32607 | − | 0.765607i | 0.341381 | − | 0.939925i | \(-0.389105\pi\) |
0.984689 | + | 0.174318i | \(0.0557721\pi\) | |||||||
\(522\) | 10.0437 | + | 8.75892i | 0.439601 | + | 0.383367i | ||||
\(523\) | −6.13503 | + | 10.6262i | −0.268266 | + | 0.464651i | −0.968414 | − | 0.249347i | \(-0.919784\pi\) |
0.700148 | + | 0.713998i | \(0.253117\pi\) | |||||||
\(524\) | −6.11751 | + | 4.74829i | −0.267245 | + | 0.207430i | ||||
\(525\) | 1.09648 | − | 2.45233i | 0.0478541 | − | 0.107028i | ||||
\(526\) | −4.75317 | − | 13.8758i | −0.207248 | − | 0.605014i | ||||
\(527\) | −14.9865 | − | 8.65246i | −0.652822 | − | 0.376907i | ||||
\(528\) | 1.36420 | + | 4.87427i | 0.0593694 | + | 0.212125i | ||||
\(529\) | 11.2032 | + | 19.4044i | 0.487094 | + | 0.843671i | ||||
\(530\) | −0.243886 | − | 0.0478090i | −0.0105937 | − | 0.00207669i | ||||
\(531\) | 3.36690 | 0.146111 | ||||||||
\(532\) | 15.9065 | − | 15.2153i | 0.689634 | − | 0.659668i | ||||
\(533\) | 3.26619 | 0.141474 | ||||||||
\(534\) | −11.8957 | − | 2.33191i | −0.514776 | − | 0.100912i | ||||
\(535\) | −16.9750 | − | 29.4016i | −0.733893 | − | 1.27114i | ||||
\(536\) | 0.453415 | − | 7.92832i | 0.0195846 | − | 0.342451i | ||||
\(537\) | −21.2754 | − | 12.2834i | −0.918102 | − | 0.530067i | ||||
\(538\) | 2.37086 | + | 6.92118i | 0.102215 | + | 0.298393i | ||||
\(539\) | 6.60122 | − | 5.90625i | 0.284335 | − | 0.254400i | ||||
\(540\) | 3.00766 | + | 3.87495i | 0.129429 | + | 0.166751i | ||||
\(541\) | 0.467883 | − | 0.810397i | 0.0201158 | − | 0.0348417i | −0.855792 | − | 0.517320i | \(-0.826930\pi\) |
0.875908 | + | 0.482478i | \(0.160263\pi\) | |||||||
\(542\) | 25.8351 | + | 22.5303i | 1.10971 | + | 0.967757i | ||||
\(543\) | 10.1483 | − | 5.85912i | 0.435505 | − | 0.251439i | ||||
\(544\) | −4.45712 | + | 9.36337i | −0.191098 | + | 0.401451i | ||||
\(545\) | 2.41503i | 0.103449i | ||||||||
\(546\) | −4.70766 | − | 10.1796i | −0.201469 | − | 0.435645i | ||||
\(547\) | − | 7.13048i | − | 0.304877i | −0.988313 | − | 0.152439i | \(-0.951287\pi\) | ||
0.988313 | − | 0.152439i | \(-0.0487127\pi\) | |||||||
\(548\) | −4.00000 | − | 29.1330i | −0.170872 | − | 1.24450i | ||||
\(549\) | 9.61496 | − | 5.55120i | 0.410356 | − | 0.236919i | ||||
\(550\) | −1.19421 | + | 1.36938i | −0.0509213 | + | 0.0583906i | ||||
\(551\) | −19.5996 | + | 33.9476i | −0.834973 | + | 1.44621i | ||||
\(552\) | 15.9347 | + | 10.4564i | 0.678224 | + | 0.445055i | ||||
\(553\) | −4.30816 | − | 1.92625i | −0.183201 | − | 0.0819123i | ||||
\(554\) | −4.03419 | + | 1.38192i | −0.171396 | + | 0.0587120i | ||||
\(555\) | −15.9545 | − | 9.21133i | −0.677231 | − | 0.390999i | ||||
\(556\) | 3.73460 | + | 1.52270i | 0.158382 | + | 0.0645769i | ||||
\(557\) | −4.97622 | − | 8.61907i | −0.210849 | − | 0.365202i | 0.741131 | − | 0.671360i | \(-0.234290\pi\) |
−0.951981 | + | 0.306159i | \(0.900956\pi\) | |||||||
\(558\) | −2.56810 | + | 13.1005i | −0.108716 | + | 0.554590i | ||||
\(559\) | 18.7993 | 0.795124 | ||||||||
\(560\) | −9.53215 | − | 24.1424i | −0.402807 | − | 1.02020i | ||||
\(561\) | 2.31971 | 0.0979381 | ||||||||
\(562\) | 1.88238 | − | 9.60249i | 0.0794032 | − | 0.405057i | ||||
\(563\) | −0.844531 | − | 1.46277i | −0.0355927 | − | 0.0616484i | 0.847680 | − | 0.530507i | \(-0.177999\pi\) |
−0.883273 | + | 0.468859i | \(0.844665\pi\) | |||||||
\(564\) | 13.6150 | + | 5.55120i | 0.573293 | + | 0.233748i | ||||
\(565\) | 10.6878 | + | 6.17063i | 0.449641 | + | 0.259600i | ||||
\(566\) | −27.5258 | + | 9.42899i | −1.15700 | + | 0.396330i | ||||
\(567\) | 1.55176 | + | 2.14290i | 0.0651679 | + | 0.0899935i | ||||
\(568\) | 6.91180 | + | 4.53557i | 0.290013 | + | 0.190308i | ||||
\(569\) | 6.96935 | − | 12.0713i | 0.292170 | − | 0.506054i | −0.682152 | − | 0.731210i | \(-0.738956\pi\) |
0.974323 | + | 0.225156i | \(0.0722892\pi\) | |||||||
\(570\) | −9.48327 | + | 10.8743i | −0.397210 | + | 0.455475i | ||||
\(571\) | 16.1591 | − | 9.32947i | 0.676238 | − | 0.390426i | −0.122198 | − | 0.992506i | \(-0.538994\pi\) |
0.798436 | + | 0.602079i | \(0.205661\pi\) | |||||||
\(572\) | 1.03187 | + | 7.51539i | 0.0431448 | + | 0.314234i | ||||
\(573\) | 15.8919i | 0.663893i | ||||||||
\(574\) | 4.06047 | + | 0.368190i | 0.169481 | + | 0.0153680i | ||||
\(575\) | 6.84168i | 0.285318i | ||||||||
\(576\) | 7.94784 | + | 0.912047i | 0.331160 | + | 0.0380019i | ||||
\(577\) | 29.4591 | − | 17.0082i | 1.22640 | − | 0.708062i | 0.260125 | − | 0.965575i | \(-0.416236\pi\) |
0.966275 | + | 0.257513i | \(0.0829031\pi\) | |||||||
\(578\) | −14.5375 | − | 12.6779i | −0.604680 | − | 0.527330i | ||||
\(579\) | 9.86690 | − | 17.0900i | 0.410055 | − | 0.710235i | ||||
\(580\) | 28.3419 | + | 36.5146i | 1.17683 | + | 1.51619i | ||||
\(581\) | −14.0434 | + | 1.45367i | −0.582617 | + | 0.0603086i | ||||
\(582\) | −3.25572 | − | 9.50433i | −0.134954 | − | 0.393967i | ||||
\(583\) | 0.0785213 | + | 0.0453343i | 0.00325202 | + | 0.00187755i | ||||
\(584\) | 1.30889 | − | 22.8869i | 0.0541621 | − | 0.947066i | ||||
\(585\) | 3.67579 | + | 6.36666i | 0.151975 | + | 0.263229i | ||||
\(586\) | −39.2904 | − | 7.70210i | −1.62307 | − | 0.318171i | ||||
\(587\) | 41.9153 | 1.73003 | 0.865015 | − | 0.501746i | \(-0.167309\pi\) | ||||
0.865015 | + | 0.501746i | \(0.167309\pi\) | |||||||
\(588\) | −4.70496 | − | 13.1857i | −0.194029 | − | 0.543770i | ||||
\(589\) | −39.2681 | −1.61801 | ||||||||
\(590\) | 11.4601 | + | 2.24652i | 0.471804 | + | 0.0924876i | ||||
\(591\) | 0.499388 | + | 0.864965i | 0.0205421 | + | 0.0355799i | ||||
\(592\) | −28.9339 | + | 8.09798i | −1.18917 | + | 0.332825i | ||||
\(593\) | 21.1354 | + | 12.2025i | 0.867927 | + | 0.501098i | 0.866659 | − | 0.498901i | \(-0.166263\pi\) |
0.00126806 | + | 0.999999i | \(0.499596\pi\) | |||||||
\(594\) | −0.579927 | − | 1.69296i | −0.0237947 | − | 0.0694632i | ||||
\(595\) | −11.8324 | + | 1.22481i | −0.485080 | + | 0.0502121i | ||||
\(596\) | −0.783818 | + | 0.608384i | −0.0321064 | + | 0.0249204i | ||||
\(597\) | −1.35158 | + | 2.34101i | −0.0553165 | + | 0.0958110i | ||||
\(598\) | 21.5280 | + | 18.7741i | 0.880345 | + | 0.767731i | ||||
\(599\) | 18.0000 | − | 10.3923i | 0.735460 | − | 0.424618i | −0.0849563 | − | 0.996385i | \(-0.527075\pi\) |
0.820416 | + | 0.571767i | \(0.193742\pi\) | |||||||
\(600\) | 1.29154 | + | 2.56495i | 0.0527270 | + | 0.104714i | ||||
\(601\) | 10.6623i | 0.434924i | 0.976069 | + | 0.217462i | \(0.0697778\pi\) | ||||
−0.976069 | + | 0.217462i | \(0.930222\pi\) | |||||||
\(602\) | 23.3709 | + | 2.11920i | 0.952527 | + | 0.0863721i | ||||
\(603\) | 2.80766i | 0.114337i | ||||||||
\(604\) | −26.2279 | + | 3.60113i | −1.06720 | + | 0.146528i | ||||
\(605\) | −19.9633 | + | 11.5258i | −0.811622 | + | 0.468590i | ||||
\(606\) | −0.867517 | + | 0.994767i | −0.0352405 | + | 0.0404097i | ||||
\(607\) | −20.0215 | + | 34.6782i | −0.812646 | + | 1.40754i | 0.0983597 | + | 0.995151i | \(0.468640\pi\) |
−0.911006 | + | 0.412393i | \(0.864693\pi\) | |||||||
\(608\) | 1.86460 | + | 23.4577i | 0.0756196 | + | 0.951335i | ||||
\(609\) | 14.6226 | + | 20.1931i | 0.592539 | + | 0.818265i | ||||
\(610\) | 36.4308 | − | 12.4794i | 1.47504 | − | 0.505276i | ||||
\(611\) | 19.0837 | + | 11.0180i | 0.772044 | + | 0.445740i | ||||
\(612\) | 1.38425 | − | 3.39503i | 0.0559549 | − | 0.137236i | ||||
\(613\) | −11.2481 | − | 19.4822i | −0.454305 | − | 0.786879i | 0.544343 | − | 0.838863i | \(-0.316779\pi\) |
−0.998648 | + | 0.0519838i | \(0.983446\pi\) | |||||||
\(614\) | −2.35486 | + | 12.0127i | −0.0950343 | + | 0.484795i | ||||
\(615\) | −2.67251 | −0.107766 | ||||||||
\(616\) | 0.435613 | + | 9.45932i | 0.0175513 | + | 0.381127i | ||||
\(617\) | −18.0820 | −0.727954 | −0.363977 | − | 0.931408i | \(-0.618581\pi\) | ||||
−0.363977 | + | 0.931408i | \(0.618581\pi\) | |||||||
\(618\) | 1.12335 | − | 5.73051i | 0.0451878 | − | 0.230515i | ||||
\(619\) | −16.0465 | − | 27.7933i | −0.644962 | − | 1.11711i | −0.984310 | − | 0.176446i | \(-0.943540\pi\) |
0.339348 | − | 0.940661i | \(-0.389793\pi\) | |||||||
\(620\) | −17.4823 | + | 42.8773i | −0.702105 | + | 1.72199i | ||||
\(621\) | −5.83564 | − | 3.36921i | −0.234176 | − | 0.135202i | ||||
\(622\) | −12.4994 | + | 4.28168i | −0.501180 | + | 0.171680i | ||||
\(623\) | −20.7032 | − | 9.25671i | −0.829455 | − | 0.370862i | ||||
\(624\) | 11.6150 | + | 2.97448i | 0.464971 | + | 0.119074i | ||||
\(625\) | 14.5229 | − | 25.1543i | 0.580915 | − | 1.00617i | ||||
\(626\) | 6.85552 | − | 7.86111i | 0.274002 | − | 0.314193i | ||||
\(627\) | 4.55863 | − | 2.63193i | 0.182054 | − | 0.105109i | ||||
\(628\) | −10.0291 | + | 1.37700i | −0.400203 | + | 0.0549484i | ||||
\(629\) | 13.7699i | 0.549041i | ||||||||
\(630\) | 3.85198 | + | 8.32927i | 0.153466 | + | 0.331846i | ||||
\(631\) | 2.95509i | 0.117640i | 0.998269 | + | 0.0588201i | \(0.0187338\pi\) | ||||
−0.998269 | + | 0.0588201i | \(0.981266\pi\) | |||||||
\(632\) | 4.50601 | − | 2.26893i | 0.179239 | − | 0.0902533i | ||||
\(633\) | 15.7442 | − | 9.08990i | 0.625774 | − | 0.361291i | ||||
\(634\) | 3.86932 | + | 3.37436i | 0.153670 | + | 0.134013i | ||||
\(635\) | −7.82798 | + | 13.5585i | −0.310644 | + | 0.538051i | ||||
\(636\) | 0.113206 | − | 0.0878679i | 0.00448889 | − | 0.00348419i | ||||
\(637\) | −4.29780 | − | 20.5372i | −0.170285 | − | 0.813715i | ||||
\(638\) | −5.46479 | − | 15.9532i | −0.216353 | − | 0.631593i | ||||
\(639\) | −2.53126 | − | 1.46142i | −0.100135 | − | 0.0578130i | ||||
\(640\) | 26.4438 | + | 8.40745i | 1.04528 | + | 0.332334i | ||||
\(641\) | 20.7459 | + | 35.9329i | 0.819412 | + | 1.41926i | 0.906116 | + | 0.423029i | \(0.139033\pi\) |
−0.0867040 | + | 0.996234i | \(0.527633\pi\) | |||||||
\(642\) | 19.2104 | + | 3.76582i | 0.758175 | + | 0.148625i | ||||
\(643\) | −16.7686 | −0.661290 | −0.330645 | − | 0.943755i | \(-0.607266\pi\) | ||||
−0.330645 | + | 0.943755i | \(0.607266\pi\) | |||||||
\(644\) | 24.6468 | + | 25.7665i | 0.971221 | + | 1.01534i | ||||
\(645\) | −15.3822 | −0.605675 | ||||||||
\(646\) | 10.5831 | + | 2.07460i | 0.416386 | + | 0.0816241i | ||||
\(647\) | −9.31180 | − | 16.1285i | −0.366085 | − | 0.634077i | 0.622865 | − | 0.782329i | \(-0.285969\pi\) |
−0.988950 | + | 0.148252i | \(0.952635\pi\) | |||||||
\(648\) | −2.82381 | − | 0.161492i | −0.110930 | − | 0.00634401i | ||||
\(649\) | −3.68967 | − | 2.13023i | −0.144832 | − | 0.0836189i | ||||
\(650\) | 1.39477 | + | 4.07172i | 0.0547075 | + | 0.159706i | ||||
\(651\) | −10.1943 | + | 22.8001i | −0.399545 | + | 0.893605i | ||||
\(652\) | 14.7595 | + | 19.0155i | 0.578026 | + | 0.744706i | ||||
\(653\) | −12.8305 | + | 22.2230i | −0.502095 | + | 0.869654i | 0.497902 | + | 0.867233i | \(0.334104\pi\) |
−0.999997 | + | 0.00242072i | \(0.999229\pi\) | |||||||
\(654\) | −1.04951 | − | 0.915259i | −0.0410392 | − | 0.0357894i | ||||
\(655\) | 8.22428 | − | 4.74829i | 0.321349 | − | 0.185531i | ||||
\(656\) | −3.04763 | + | 3.11603i | −0.118990 | + | 0.121661i | ||||
\(657\) | 8.10495i | 0.316204i | ||||||||
\(658\) | 22.4825 | + | 15.8486i | 0.876458 | + | 0.617843i | ||||
\(659\) | 27.7044i | 1.07921i | 0.841919 | + | 0.539604i | \(0.181426\pi\) | ||||
−0.841919 | + | 0.539604i | \(0.818574\pi\) | |||||||
\(660\) | −0.844315 | − | 6.14936i | −0.0328649 | − | 0.239363i | ||||
\(661\) | −29.5472 | + | 17.0591i | −1.14925 | + | 0.663522i | −0.948705 | − | 0.316162i | \(-0.897606\pi\) |
−0.200548 | + | 0.979684i | \(0.564272\pi\) | |||||||
\(662\) | −0.584050 | + | 0.669720i | −0.0226997 | + | 0.0260294i | ||||
\(663\) | 2.74744 | − | 4.75871i | 0.106702 | − | 0.184813i | ||||
\(664\) | 8.28060 | − | 12.6189i | 0.321350 | − | 0.489708i | ||||
\(665\) | −21.8630 | + | 15.8319i | −0.847811 | + | 0.613935i | ||||
\(666\) | 10.0495 | − | 3.44247i | 0.389411 | − | 0.133393i | ||||
\(667\) | −54.9906 | − | 31.7489i | −2.12925 | − | 1.22932i | ||||
\(668\) | −13.8236 | − | 5.63627i | −0.534851 | − | 0.218074i | ||||
\(669\) | −5.79982 | − | 10.0456i | −0.224234 | − | 0.388385i | ||||
\(670\) | −1.87337 | + | 9.55655i | −0.0723746 | + | 0.369202i | ||||
\(671\) | −14.0489 | −0.542352 | ||||||||
\(672\) | 14.1042 | + | 5.00715i | 0.544081 | + | 0.193155i | ||||
\(673\) | −17.7032 | −0.682407 | −0.341203 | − | 0.939990i | \(-0.610834\pi\) | ||||
−0.341203 | + | 0.939990i | \(0.610834\pi\) | |||||||
\(674\) | 6.06997 | − | 30.9645i | 0.233806 | − | 1.19271i | ||||
\(675\) | −0.507662 | − | 0.879296i | −0.0195399 | − | 0.0338441i | ||||
\(676\) | −7.43629 | − | 3.03198i | −0.286011 | − | 0.116615i | ||||
\(677\) | −35.5808 | − | 20.5426i | −1.36748 | − | 0.789516i | −0.376876 | − | 0.926264i | \(-0.623002\pi\) |
−0.990606 | + | 0.136747i | \(0.956335\pi\) | |||||||
\(678\) | −6.73212 | + | 2.30609i | −0.258545 | + | 0.0885650i | ||||
\(679\) | −1.93522 | − | 18.6954i | −0.0742668 | − | 0.717462i | ||||
\(680\) | 6.97690 | − | 10.6322i | 0.267552 | − | 0.407725i | ||||
\(681\) | −5.08054 | + | 8.79975i | −0.194687 | + | 0.337207i | ||||
\(682\) | 11.1029 | − | 12.7316i | 0.425154 | − | 0.487517i | ||||
\(683\) | 18.3842 | − | 10.6141i | 0.703450 | − | 0.406137i | −0.105181 | − | 0.994453i | \(-0.533542\pi\) |
0.808631 | + | 0.588316i | \(0.200209\pi\) | |||||||
\(684\) | −1.13169 | − | 8.24238i | −0.0432712 | − | 0.315155i | ||||
\(685\) | 36.0612i | 1.37783i | ||||||||
\(686\) | −3.02783 | − | 26.0160i | −0.115603 | − | 0.993295i | ||||
\(687\) | 23.0970i | 0.881204i | ||||||||
\(688\) | −17.5413 | + | 17.9350i | −0.668755 | + | 0.683765i | ||||
\(689\) | 0.186000 | − | 0.107387i | 0.00708603 | − | 0.00409112i | ||||
\(690\) | −17.6150 | − | 15.3617i | −0.670590 | − | 0.584809i | ||||
\(691\) | 19.4878 | − | 33.7539i | 0.741352 | − | 1.28406i | −0.210528 | − | 0.977588i | \(-0.567518\pi\) |
0.951880 | − | 0.306472i | \(-0.0991485\pi\) | |||||||
\(692\) | −5.35158 | − | 6.89477i | −0.203437 | − | 0.262100i | ||||
\(693\) | −0.344712 | − | 3.33012i | −0.0130945 | − | 0.126501i | ||||
\(694\) | 3.15985 | + | 9.22447i | 0.119946 | + | 0.350156i | ||||
\(695\) | −4.28321 | − | 2.47291i | −0.162471 | − | 0.0938028i | ||||
\(696\) | −26.6094 | − | 1.52178i | −1.00863 | − | 0.0576828i | ||||
\(697\) | 0.998775 | + | 1.72993i | 0.0378313 | + | 0.0655257i | ||||
\(698\) | 18.7032 | + | 3.66638i | 0.707925 | + | 0.138775i | ||||
\(699\) | 6.85547 | 0.259298 | ||||||||
\(700\) | 1.27496 | + | 5.21912i | 0.0481890 | + | 0.197264i | ||||
\(701\) | 4.28115 | 0.161697 | 0.0808485 | − | 0.996726i | \(-0.474237\pi\) | ||||
0.0808485 | + | 0.996726i | \(0.474237\pi\) | |||||||
\(702\) | −4.15985 | − | 0.815456i | −0.157004 | − | 0.0307774i | ||||
\(703\) | 15.6232 | + | 27.0602i | 0.589241 | + | 1.02060i | ||||
\(704\) | −8.13270 | − | 6.02805i | −0.306513 | − | 0.227191i | ||||
\(705\) | −15.6150 | − | 9.01530i | −0.588093 | − | 0.339536i | ||||
\(706\) | −13.1002 | − | 38.2432i | −0.493034 | − | 1.43930i | ||||
\(707\) | −2.00000 | + | 1.44828i | −0.0752177 | + | 0.0544682i | ||||
\(708\) | −5.31946 | + | 4.12886i | −0.199918 | + | 0.155172i | ||||
\(709\) | 21.8796 | − | 37.8965i | 0.821704 | − | 1.42323i | −0.0827080 | − | 0.996574i | \(-0.526357\pi\) |
0.904412 | − | 0.426660i | \(-0.140310\pi\) | |||||||
\(710\) | −7.64064 | − | 6.66325i | −0.286748 | − | 0.250067i | ||||
\(711\) | −1.54471 | + | 0.891841i | −0.0579313 | + | 0.0334466i | ||||
\(712\) | 21.6539 | − | 10.9035i | 0.811516 | − | 0.408627i | ||||
\(713\) | − | 63.6092i | − | 2.38218i | ||||||
\(714\) | 3.95201 | − | 5.60623i | 0.147900 | − | 0.209808i | ||||
\(715\) | − | 9.30265i | − | 0.347899i | ||||||
\(716\) | 48.6768 | − | 6.68339i | 1.81914 | − | 0.249770i | ||||
\(717\) | −19.2481 | + | 11.1129i | −0.718832 | + | 0.415018i | ||||
\(718\) | 6.43978 | − | 7.38439i | 0.240331 | − | 0.275583i | ||||
\(719\) | 20.7657 | − | 35.9672i | 0.774429 | − | 1.34135i | −0.160685 | − | 0.987006i | \(-0.551370\pi\) |
0.935115 | − | 0.354345i | \(-0.115296\pi\) | |||||||
\(720\) | −9.50377 | − | 2.43382i | −0.354185 | − | 0.0907033i | ||||
\(721\) | 4.45924 | − | 9.97334i | 0.166071 | − | 0.371427i | ||||
\(722\) | −2.26856 | + | 0.777097i | −0.0844270 | + | 0.0289205i | ||||
\(723\) | 13.3605 | + | 7.71367i | 0.496881 | + | 0.286874i | ||||
\(724\) | −8.84848 | + | 21.7019i | −0.328851 | + | 0.806546i | ||||
\(725\) | −4.78382 | − | 8.28582i | −0.177667 | − | 0.307727i | ||||
\(726\) | 2.55694 | − | 13.0436i | 0.0948970 | − | 0.484094i | ||||
\(727\) | 7.19963 | 0.267020 | 0.133510 | − | 0.991047i | \(-0.457375\pi\) | ||||
0.133510 | + | 0.991047i | \(0.457375\pi\) | |||||||
\(728\) | 19.9210 | + | 10.3099i | 0.738323 | + | 0.382111i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −5.40791 | + | 27.5872i | −0.200156 | + | 1.02105i | ||||
\(731\) | 5.74867 | + | 9.95698i | 0.212622 | + | 0.368272i | ||||
\(732\) | −8.38345 | + | 20.5614i | −0.309861 | + | 0.759971i | ||||
\(733\) | 20.9219 | + | 12.0793i | 0.772768 | + | 0.446158i | 0.833861 | − | 0.551974i | \(-0.186125\pi\) |
−0.0610934 | + | 0.998132i | \(0.519459\pi\) | |||||||
\(734\) | 17.3173 | − | 5.93205i | 0.639192 | − | 0.218956i | ||||
\(735\) | 3.51661 | + | 16.8043i | 0.129712 | + | 0.619836i | ||||
\(736\) | −37.9984 | + | 3.02041i | −1.40064 | + | 0.111334i | ||||
\(737\) | 1.77640 | − | 3.07682i | 0.0654345 | − | 0.113336i | ||||
\(738\) | 1.01284 | − | 1.16141i | 0.0372832 | − | 0.0427520i | ||||
\(739\) | −8.16690 | + | 4.71516i | −0.300424 | + | 0.173450i | −0.642634 | − | 0.766174i | \(-0.722158\pi\) |
0.342209 | + | 0.939624i | \(0.388825\pi\) | |||||||
\(740\) | 36.5029 | − | 5.01189i | 1.34187 | − | 0.184241i | ||||
\(741\) | − | 12.4689i | − | 0.458058i | ||||||
\(742\) | 0.243337 | − | 0.112534i | 0.00893319 | − | 0.00413127i | ||||
\(743\) | − | 2.32851i | − | 0.0854248i | −0.999087 | − | 0.0427124i | \(-0.986400\pi\) | ||
0.999087 | − | 0.0427124i | \(-0.0135999\pi\) | |||||||
\(744\) | −12.0079 | − | 23.8472i | −0.440230 | − | 0.874279i | ||||
\(745\) | 1.05375 | − | 0.608384i | 0.0386065 | − | 0.0222895i | ||||
\(746\) | −3.28181 | − | 2.86200i | −0.120156 | − | 0.104785i | ||||
\(747\) | −2.66813 | + | 4.62133i | −0.0976217 | + | 0.169086i | ||||
\(748\) | −3.66497 | + | 2.84468i | −0.134005 | + | 0.104012i | ||||
\(749\) | 33.4337 | + | 14.9487i | 1.22164 | + | 0.546215i | ||||
\(750\) | 4.47889 | + | 13.0751i | 0.163546 | + | 0.477435i | ||||
\(751\) | 26.9834 | + | 15.5789i | 0.984638 | + | 0.568481i | 0.903667 | − | 0.428235i | \(-0.140865\pi\) |
0.0809709 | + | 0.996716i | \(0.474198\pi\) | |||||||
\(752\) | −28.3181 | + | 7.92564i | −1.03266 | + | 0.289018i | ||||
\(753\) | −11.1477 | − | 19.3084i | −0.406244 | − | 0.703636i | ||||
\(754\) | −39.1993 | − | 7.68423i | −1.42755 | − | 0.279843i | ||||
\(755\) | 32.4652 | 1.18153 | ||||||||
\(756\) | −5.07953 | − | 1.48269i | −0.184741 | − | 0.0539249i | ||||
\(757\) | −0.559856 | −0.0203483 | −0.0101742 | − | 0.999948i | \(-0.503239\pi\) | ||||
−0.0101742 | + | 0.999948i | \(0.503239\pi\) | |||||||
\(758\) | 7.23071 | + | 1.41744i | 0.262631 | + | 0.0514836i | ||||
\(759\) | 4.26338 | + | 7.38439i | 0.154751 | + | 0.268036i | ||||
\(760\) | 1.64763 | − | 28.8100i | 0.0597657 | − | 1.04505i | ||||
\(761\) | 39.6196 | + | 22.8744i | 1.43621 | + | 0.829196i | 0.997584 | − | 0.0694744i | \(-0.0221322\pi\) |
0.438625 | + | 0.898670i | \(0.355466\pi\) | |||||||
\(762\) | −2.92548 | − | 8.54029i | −0.105979 | − | 0.309382i | ||||
\(763\) | −1.52798 | − | 2.11006i | −0.0553167 | − | 0.0763895i | ||||
\(764\) | −19.4883 | − | 25.1080i | −0.705063 | − | 0.908376i | ||||
\(765\) | −2.24806 | + | 3.89375i | −0.0812786 | + | 0.140779i | ||||
\(766\) | 41.4300 | + | 36.1303i | 1.49693 | + | 1.30544i | ||||
\(767\) | −8.74002 | + | 5.04606i | −0.315584 | + | 0.182203i | ||||
\(768\) | −13.6755 | + | 8.30553i | −0.493471 | + | 0.299700i | ||||
\(769\) | 8.33377i | 0.300524i | 0.988646 | + | 0.150262i | \(0.0480117\pi\) | ||||
−0.988646 | + | 0.150262i | \(0.951988\pi\) | |||||||
\(770\) | 1.04867 | − | 11.5649i | 0.0377913 | − | 0.416769i | ||||
\(771\) | 2.86976i | 0.103352i | ||||||||
\(772\) | 5.36859 | + | 39.1008i | 0.193220 | + | 1.40727i | ||||
\(773\) | 26.5674 | − | 15.3387i | 0.955563 | − | 0.551695i | 0.0607584 | − | 0.998153i | \(-0.480648\pi\) |
0.894805 | + | 0.446458i | \(0.147315\pi\) | |||||||
\(774\) | 5.82962 | − | 6.68473i | 0.209541 | − | 0.240278i | ||||
\(775\) | 4.79222 | − | 8.30037i | 0.172142 | − | 0.298158i | ||||
\(776\) | 16.7990 | + | 11.0236i | 0.603050 | + | 0.395725i | ||||
\(777\) | 19.7678 | − | 2.04622i | 0.709165 | − | 0.0734079i | ||||
\(778\) | −4.99708 | + | 1.71176i | −0.179154 | + | 0.0613695i | ||||
\(779\) | 3.92554 | + | 2.26641i | 0.140647 | + | 0.0812025i | ||||
\(780\) | −13.6150 | − | 5.55120i | −0.487494 | − | 0.198765i | ||||
\(781\) | 1.84928 | + | 3.20304i | 0.0661723 | + | 0.114614i | ||||
\(782\) | −3.36058 | + | 17.1432i | −0.120174 | + | 0.613040i | ||||
\(783\) | 9.42323 | 0.336759 | ||||||||
\(784\) | 23.6033 | + | 15.0627i | 0.842973 | + | 0.537955i | ||||
\(785\) | 12.4141 | 0.443078 | ||||||||
\(786\) | −1.05338 | + | 5.37359i | −0.0375730 | + | 0.191670i | ||||
\(787\) | −11.0792 | − | 19.1897i | −0.394931 | − | 0.684040i | 0.598162 | − | 0.801375i | \(-0.295898\pi\) |
−0.993092 | + | 0.117335i | \(0.962565\pi\) | |||||||
\(788\) | −1.84971 | − | 0.754178i | −0.0658932 | − | 0.0268665i | ||||
\(789\) | −8.98186 | − | 5.18568i | −0.319763 | − | 0.184615i | ||||
\(790\) | −5.85287 | + | 2.00491i | −0.208236 | + | 0.0713314i | ||||
\(791\) | −13.2423 | + | 1.37076i | −0.470843 | + | 0.0487385i | ||||
\(792\) | 2.99234 | + | 1.96359i | 0.106328 | + | 0.0697732i | ||||
\(793\) | −16.6394 | + | 28.8203i | −0.590883 | + | 1.02344i | ||||
\(794\) | 6.23674 | − | 7.15156i | 0.221333 | − | 0.253799i | ||||
\(795\) | −0.152192 | + | 0.0878679i | −0.00539768 | + | 0.00311635i | ||||
\(796\) | −0.735396 | − | 5.35607i | −0.0260654 | − | 0.189841i | ||||
\(797\) | − | 24.1705i | − | 0.856164i | −0.903740 | − | 0.428082i | \(-0.859189\pi\) | ||
0.903740 | − | 0.428082i | \(-0.140811\pi\) | |||||||
\(798\) | 1.40559 | − | 15.5012i | 0.0497575 | − | 0.548735i | ||||
\(799\) | 13.4768i | 0.476776i | ||||||||
\(800\) | −5.18597 | − | 2.46861i | −0.183352 | − | 0.0872784i | ||||
\(801\) | −7.42323 | + | 4.28581i | −0.262287 | + | 0.151431i | ||||
\(802\) | −6.23273 | − | 5.43544i | −0.220085 | − | 0.191932i | ||||
\(803\) | 5.12798 | − | 8.88192i | 0.180963 | − | 0.313436i | ||||
\(804\) | −3.44306 | − | 4.43590i | −0.121427 | − | 0.156442i | ||||
\(805\) | −25.6456 | − | 35.4152i | −0.903889 | − | 1.24822i | ||||
\(806\) | −12.9676 | − | 37.8560i | −0.456765 | − | 1.33342i | ||||
\(807\) | 4.48011 | + | 2.58659i | 0.157707 | + | 0.0910524i | ||||
\(808\) | 0.150723 | − | 2.63550i | 0.00530241 | − | 0.0927167i | ||||
\(809\) | −7.61046 | − | 13.1817i | −0.267569 | − | 0.463444i | 0.700664 | − | 0.713491i | \(-0.252887\pi\) |
−0.968234 | + | 0.250047i | \(0.919554\pi\) | |||||||
\(810\) | 3.40374 | + | 0.667235i | 0.119595 | + | 0.0234442i | ||||
\(811\) | −48.4574 | −1.70157 | −0.850785 | − | 0.525515i | \(-0.823873\pi\) | ||||
−0.850785 | + | 0.525515i | \(0.823873\pi\) | |||||||
\(812\) | −47.8656 | − | 13.9717i | −1.67975 | − | 0.490312i | ||||
\(813\) | 24.2391 | 0.850101 | ||||||||
\(814\) | −13.1909 | − | 2.58582i | −0.462342 | − | 0.0906329i | ||||
\(815\) | −14.7595 | − | 25.5642i | −0.517002 | − | 0.895474i | ||||
\(816\) | 1.97634 | + | 7.06141i | 0.0691857 | + | 0.247199i | ||||
\(817\) | 22.5943 | + | 13.0448i | 0.790474 | + | 0.456380i | ||||
\(818\) | −14.1454 | − | 41.2942i | −0.494581 | − | 1.44382i | ||||
\(819\) | −7.23978 | − | 3.23702i | −0.252978 | − | 0.113111i | ||||
\(820\) | 4.22238 | − | 3.27732i | 0.147452 | − | 0.114449i | ||||
\(821\) | −25.7647 | + | 44.6257i | −0.899193 | + | 1.55745i | −0.0706654 | + | 0.997500i | \(0.522512\pi\) |
−0.828528 | + | 0.559948i | \(0.810821\pi\) | |||||||
\(822\) | −15.6713 | − | 13.6666i | −0.546599 | − | 0.476678i | ||||
\(823\) | −1.90279 | + | 1.09858i | −0.0663272 | + | 0.0382941i | −0.532797 | − | 0.846243i | \(-0.678859\pi\) |
0.466470 | + | 0.884537i | \(0.345526\pi\) | |||||||
\(824\) | 5.25256 | + | 10.4314i | 0.182982 | + | 0.363394i | ||||
\(825\) | 1.28479i | 0.0447305i | ||||||||
\(826\) | −11.4343 | + | 5.28792i | −0.397849 | + | 0.183990i | ||||
\(827\) | − | 10.2864i | − | 0.357693i | −0.983877 | − | 0.178846i | \(-0.942763\pi\) | ||
0.983877 | − | 0.178846i | \(-0.0572365\pi\) | |||||||
\(828\) | 13.3516 | − | 1.83319i | 0.464000 | − | 0.0637078i | ||||
\(829\) | 0.662548 | − | 0.382522i | 0.0230112 | − | 0.0132855i | −0.488450 | − | 0.872592i | \(-0.662438\pi\) |
0.511461 | + | 0.859306i | \(0.329104\pi\) | |||||||
\(830\) | −12.1651 | + | 13.9495i | −0.422258 | + | 0.484196i | ||||
\(831\) | −1.50766 | + | 2.61135i | −0.0523002 | + | 0.0905866i | ||||
\(832\) | −21.9984 | + | 9.54406i | −0.762658 | + | 0.330881i | ||||
\(833\) | 9.56326 | − | 8.55644i | 0.331347 | − | 0.296463i | ||||
\(834\) | 2.69793 | − | 0.924179i | 0.0934217 | − | 0.0320017i | ||||
\(835\) | 15.8542 | + | 9.15345i | 0.548659 | + | 0.316768i | ||||
\(836\) | −3.97475 | + | 9.74854i | −0.137470 | + | 0.337160i | ||||
\(837\) | 4.71989 | + | 8.17509i | 0.163143 | + | 0.282572i | ||||
\(838\) | 7.91302 | − | 40.3664i | 0.273351 | − | 1.39443i | ||||
\(839\) | 3.50389 | 0.120968 | 0.0604839 | − | 0.998169i | \(-0.480736\pi\) | ||||
0.0604839 | + | 0.998169i | \(0.480736\pi\) | |||||||
\(840\) | −16.3001 | − | 8.43593i | −0.562407 | − | 0.291067i | ||||
\(841\) | 59.7973 | 2.06198 | ||||||||
\(842\) | −3.77177 | + | 19.2408i | −0.129984 | + | 0.663081i | ||||
\(843\) | −3.45961 | − | 5.99222i | −0.119155 | − | 0.206383i | ||||
\(844\) | −13.7276 | + | 33.6686i | −0.472524 | + | 1.15892i | ||||
\(845\) | 8.52866 | + | 4.92402i | 0.293395 | + | 0.169392i | ||||
\(846\) | 9.83564 | − | 3.36921i | 0.338156 | − | 0.115836i | ||||
\(847\) | 10.1500 | − | 22.7010i | 0.348758 | − | 0.780017i | ||||
\(848\) | −0.0711034 | + | 0.277650i | −0.00244170 | + | 0.00953453i | ||||
\(849\) | −10.2870 | + | 17.8176i | −0.353048 | + | 0.611497i | ||||
\(850\) | −1.73007 | + | 1.98384i | −0.0593408 | + | 0.0680451i | ||||
\(851\) | −43.8341 | + | 25.3076i | −1.50261 | + | 0.867534i | ||||
\(852\) | 5.79136 | − | 0.795162i | 0.198409 | − | 0.0272418i | ||||
\(853\) | 25.3974i | 0.869589i | 0.900530 | + | 0.434795i | \(0.143179\pi\) | ||||
−0.900530 | + | 0.434795i | \(0.856821\pi\) | |||||||
\(854\) | −23.9347 | + | 33.9532i | −0.819027 | + | 1.16185i | ||||
\(855\) | 10.2025i | 0.348919i | ||||||||
\(856\) | −34.9691 | + | 17.6082i | −1.19522 | + | 0.601835i | ||||
\(857\) | −25.0609 | + | 14.4689i | −0.856065 | + | 0.494249i | −0.862693 | − | 0.505729i | \(-0.831224\pi\) |
0.00662744 | + | 0.999978i | \(0.497890\pi\) | |||||||
\(858\) | 4.04270 | + | 3.52556i | 0.138015 | + | 0.120360i | ||||
\(859\) | −2.34404 | + | 4.05999i | −0.0799775 | + | 0.138525i | −0.903240 | − | 0.429136i | \(-0.858818\pi\) |
0.823263 | + | 0.567661i | \(0.192152\pi\) | |||||||
\(860\) | 24.3028 | − | 18.8633i | 0.828718 | − | 0.643235i | ||||
\(861\) | 2.33503 | − | 1.69089i | 0.0795777 | − | 0.0576254i | ||||
\(862\) | 14.6195 | + | 42.6782i | 0.497941 | + | 1.45363i | ||||
\(863\) | 37.6419 | + | 21.7325i | 1.28134 | + | 0.739784i | 0.977094 | − | 0.212808i | \(-0.0682609\pi\) |
0.304250 | + | 0.952592i | \(0.401594\pi\) | |||||||
\(864\) | 4.65946 | − | 3.20772i | 0.158518 | − | 0.109129i | ||||
\(865\) | 5.35158 | + | 9.26921i | 0.181959 | + | 0.315163i | ||||
\(866\) | 13.6315 | + | 2.67218i | 0.463218 | + | 0.0908045i | ||||
\(867\) | −13.6394 | −0.463219 | ||||||||
\(868\) | −11.8537 | − | 48.5238i | −0.402341 | − | 1.64700i | ||||
\(869\) | 2.25706 | 0.0765655 | ||||||||
\(870\) | 32.0742 | + | 6.28751i | 1.08742 | + | 0.213167i | ||||
\(871\) | −4.20791 | − | 7.28831i | −0.142580 | − | 0.246955i | ||||
\(872\) | 2.78054 | + | 0.159017i | 0.0941610 | + | 0.00538501i | ||||
\(873\) | −6.15219 | − | 3.55197i | −0.208220 | − | 0.120216i | ||||
\(874\) | 12.8465 | + | 37.5023i | 0.434538 | + | 1.26854i | ||||
\(875\) | 2.66227 | + | 25.7192i | 0.0900013 | + | 0.869467i | ||||
\(876\) | −9.93917 | − | 12.8052i | −0.335813 | − | 0.432649i | ||||
\(877\) | 23.0063 | − | 39.8481i | 0.776868 | − | 1.34558i | −0.156870 | − | 0.987619i | \(-0.550140\pi\) |
0.933738 | − | 0.357956i | \(-0.116526\pi\) | |||||||
\(878\) | −18.1618 | − | 15.8385i | −0.612930 | − | 0.534524i | ||||
\(879\) | −24.5183 | + | 14.1556i | −0.826982 | + | 0.477458i | ||||
\(880\) | 8.87496 | + | 8.68015i | 0.299175 | + | 0.292608i | ||||
\(881\) | 40.8047i | 1.37475i | 0.726304 | + | 0.687373i | \(0.241236\pi\) | ||||
−0.726304 | + | 0.687373i | \(0.758764\pi\) | |||||||
\(882\) | −8.63546 | − | 4.84033i | −0.290771 | − | 0.162982i | ||||
\(883\) | 6.06234i | 0.204014i | 0.994784 | + | 0.102007i | \(0.0325264\pi\) | ||||
−0.994784 | + | 0.102007i | \(0.967474\pi\) | |||||||
\(884\) | 1.49489 | + | 10.8876i | 0.0502784 | + | 0.366190i | ||||
\(885\) | 7.15140 | − | 4.12886i | 0.240392 | − | 0.138790i | ||||
\(886\) | 7.83507 | − | 8.98434i | 0.263224 | − | 0.301835i | ||||
\(887\) | −22.1276 | + | 38.3262i | −0.742973 | + | 1.28687i | 0.208163 | + | 0.978094i | \(0.433251\pi\) |
−0.951136 | + | 0.308772i | \(0.900082\pi\) | |||||||
\(888\) | −11.6560 | + | 17.7626i | −0.391149 | + | 0.596075i | ||||
\(889\) | −1.73892 | − | 16.7991i | −0.0583216 | − | 0.563422i | ||||
\(890\) | −28.1264 | + | 9.63473i | −0.942799 | + | 0.322957i | ||||
\(891\) | −1.09586 | − | 0.632697i | −0.0367128 | − | 0.0211961i | ||||
\(892\) | 21.4823 | + | 8.75892i | 0.719279 | + | 0.293270i | ||||
\(893\) | 15.2908 | + | 26.4844i | 0.511685 | + | 0.886265i | ||||
\(894\) | −0.134967 | + | 0.688502i | −0.00451397 | + | 0.0230269i | ||||
\(895\) | −60.2528 | −2.01403 | ||||||||
\(896\) | −28.4239 | + | 9.38517i | −0.949576 | + | 0.313537i | ||||
\(897\) | 20.1980 | 0.674393 | ||||||||
\(898\) | −2.62274 | + | 13.3793i | −0.0875219 | + | 0.446472i | ||||
\(899\) | 44.4766 | + | 77.0358i | 1.48338 | + | 2.56929i | ||||
\(900\) | 1.88036 | + | 0.766674i | 0.0626786 | + | 0.0255558i | ||||
\(901\) | 0.113755 | + | 0.0656762i | 0.00378971 | + | 0.00218799i | ||||
\(902\) | −1.84475 | + | 0.631922i | −0.0614236 | + | 0.0210407i | ||||
\(903\) | 13.4398 | − | 9.73229i | 0.447248 | − | 0.323870i | ||||
\(904\) | 7.80827 | − | 11.8991i | 0.259699 | − | 0.395759i | ||||
\(905\) | 14.3702 | − | 24.8899i | 0.477681 | − | 0.827368i | ||||
\(906\) | −12.3038 | + | 14.1086i | −0.408767 | + | 0.468726i | ||||
\(907\) | 5.54526 | − | 3.20156i | 0.184127 | − | 0.106306i | −0.405103 | − | 0.914271i | \(-0.632764\pi\) |
0.589230 | + | 0.807965i | \(0.299431\pi\) | |||||||
\(908\) | −2.76432 | − | 20.1333i | −0.0917373 | − | 0.668146i | ||||
\(909\) | 0.933313i | 0.0309561i | ||||||||
\(910\) | −22.4825 | − | 15.8486i | −0.745287 | − | 0.525376i | ||||
\(911\) | − | 48.9687i | − | 1.62241i | −0.584765 | − | 0.811203i | \(-0.698813\pi\) | ||
0.584765 | − | 0.811203i | \(-0.301187\pi\) | |||||||
\(912\) | 11.8957 | + | 11.6346i | 0.393905 | + | 0.385259i | ||||
\(913\) | 5.84781 | − | 3.37623i | 0.193534 | − | 0.111737i | ||||
\(914\) | 30.9582 | + | 26.9981i | 1.02401 | + | 0.893017i | ||||
\(915\) | 13.6150 | − | 23.5818i | 0.450097 | − | 0.779590i | ||||
\(916\) | −28.3240 | − | 36.4915i | −0.935850 | − | 1.20571i | ||||
\(917\) | −4.18150 | + | 9.35216i | −0.138085 | + | 0.308835i | ||||
\(918\) | −0.840146 | − | 2.45262i | −0.0277290 | − | 0.0809484i | ||||
\(919\) | 21.2676 | + | 12.2789i | 0.701554 | + | 0.405042i | 0.807926 | − | 0.589284i | \(-0.200590\pi\) |
−0.106372 | + | 0.994326i | \(0.533923\pi\) | |||||||
\(920\) | 46.6685 | + | 2.66894i | 1.53861 | + | 0.0879923i | ||||
\(921\) | 4.32798 | + | 7.49628i | 0.142612 | + | 0.247011i | ||||
\(922\) | 33.2788 | + | 6.52365i | 1.09598 | + | 0.214845i | ||||
\(923\) | 8.76108 | 0.288374 | ||||||||
\(924\) | 4.62838 | + | 4.83863i | 0.152262 | + | 0.159179i | ||||
\(925\) | −7.62654 | −0.250759 | ||||||||
\(926\) | −39.5488 | − | 7.75276i | −1.29966 | − | 0.254771i | ||||
\(927\) | −2.06460 | − | 3.57600i | −0.0678105 | − | 0.117451i | ||||
\(928\) | 43.9072 | − | 30.2271i | 1.44132 | − | 0.992253i | ||||
\(929\) | −8.51680 | − | 4.91718i | −0.279427 | − | 0.161327i | 0.353737 | − | 0.935345i | \(-0.384911\pi\) |
−0.633164 | + | 0.774018i | \(0.718244\pi\) | |||||||
\(930\) | 10.6106 | + | 30.9752i | 0.347934 | + | 1.01572i | ||||
\(931\) | 9.08539 | − | 27.6653i | 0.297762 | − | 0.906695i | ||||
\(932\) | −10.8311 | + | 8.40692i | −0.354786 | + | 0.275378i | ||||
\(933\) | −4.67129 | + | 8.09091i | −0.152931 | + | 0.264884i | ||||
\(934\) | −19.8050 | − | 17.2716i | −0.648039 | − | 0.565142i | ||||
\(935\) | 4.92712 | − | 2.84468i | 0.161134 | − | 0.0930308i | ||||
\(936\) | 7.57226 | − | 3.81290i | 0.247507 | − | 0.124629i | ||||
\(937\) | − | 38.1447i | − | 1.24613i | −0.782168 | − | 0.623067i | \(-0.785886\pi\) | ||
0.782168 | − | 0.623067i | \(-0.214114\pi\) | |||||||
\(938\) | −4.40960 | − | 9.53504i | −0.143979 | − | 0.311330i | ||||
\(939\) | − | 7.37547i | − | 0.240689i | ||||||
\(940\) | 35.7260 | − | 4.90523i | 1.16525 | − | 0.159991i | ||||
\(941\) | 29.7788 | − | 17.1928i | 0.970760 | − | 0.560469i | 0.0712922 | − | 0.997455i | \(-0.477288\pi\) |
0.899468 | + | 0.436987i | \(0.143954\pi\) | |||||||
\(942\) | −4.70475 | + | 5.39485i | −0.153289 | + | 0.175774i | ||||
\(943\) | −3.67129 | + | 6.35886i | −0.119554 | + | 0.207073i | ||||
\(944\) | 3.34111 | − | 13.0466i | 0.108744 | − | 0.424631i | ||||
\(945\) | 5.92385 | + | 2.64865i | 0.192703 | + | 0.0861605i | ||||
\(946\) | −10.6179 | + | 3.63716i | −0.345217 | + | 0.118254i | ||||
\(947\) | −14.2630 | − | 8.23476i | −0.463486 | − | 0.267594i | 0.250023 | − | 0.968240i | \(-0.419562\pi\) |
−0.713509 | + | 0.700646i | \(0.752895\pi\) | |||||||
\(948\) | 1.34686 | − | 3.30334i | 0.0437441 | − | 0.107287i | ||||
\(949\) | −12.1471 | − | 21.0394i | −0.394311 | − | 0.682966i | ||||
\(950\) | −1.14903 | + | 5.86151i | −0.0372795 | + | 0.190173i | ||||
\(951\) | 3.63028 | 0.117720 | ||||||||
\(952\) | 0.631077 | + | 13.7038i | 0.0204533 | + | 0.444143i | ||||
\(953\) | −52.4540 | −1.69915 | −0.849576 | − | 0.527466i | \(-0.823142\pi\) | ||||
−0.849576 | + | 0.527466i | \(0.823142\pi\) | |||||||
\(954\) | 0.0194931 | − | 0.0994392i | 0.000631111 | − | 0.00321946i | ||||
\(955\) | 19.4883 | + | 33.7548i | 0.630628 | + | 1.09228i | ||||
\(956\) | 16.7827 | − | 41.1616i | 0.542792 | − | 1.33126i | ||||
\(957\) | −10.3266 | − | 5.96205i | −0.333811 | − | 0.192726i | ||||
\(958\) | 37.9178 | − | 12.9888i | 1.22507 | − | 0.419648i | ||||
\(959\) | −22.8158 | − | 31.5074i | −0.736761 | − | 1.01743i | ||||
\(960\) | 17.9999 | − | 7.80929i | 0.580944 | − | 0.252044i | ||||
\(961\) | −29.0547 | + | 50.3243i | −0.937250 | + | 1.62336i | ||||
\(962\) | −20.9279 | + | 23.9976i | −0.674741 | + | 0.773714i | ||||
\(963\) | 11.9878 | − | 6.92118i | 0.386303 | − | 0.223032i | ||||
\(964\) | −30.5679 | + | 4.19701i | −0.984526 | + | 0.135177i | ||||
\(965\) | − | 48.3995i | − | 1.55803i | ||||||
\(966\) | 25.1098 | + | 2.27688i | 0.807896 | + | 0.0732574i | ||||
\(967\) | − | 16.3573i | − | 0.526016i | −0.964794 | − | 0.263008i | \(-0.915285\pi\) | ||
0.964794 | − | 0.263008i | \(-0.0847146\pi\) | |||||||
\(968\) | 11.9557 | + | 23.7436i | 0.384271 | + | 0.763147i | ||||
\(969\) | 6.60414 | − | 3.81290i | 0.212155 | − | 0.122488i | ||||
\(970\) | −18.5705 | − | 16.1949i | −0.596262 | − | 0.519988i | ||||
\(971\) | 11.6591 | − | 20.1942i | 0.374159 | − | 0.648063i | −0.616042 | − | 0.787714i | \(-0.711265\pi\) |
0.990201 | + | 0.139651i | \(0.0445981\pi\) | |||||||
\(972\) | −1.57993 | + | 1.22631i | −0.0506762 | + | 0.0393338i | ||||
\(973\) | 5.30693 | − | 0.549337i | 0.170132 | − | 0.0176109i | ||||
\(974\) | 19.0245 | + | 55.5377i | 0.609585 | + | 1.77954i | ||||
\(975\) | 2.63564 | + | 1.52169i | 0.0844081 | + | 0.0487331i | ||||
\(976\) | −11.9694 | − | 42.7662i | −0.383130 | − | 1.36891i | ||||
\(977\) | −19.9922 | − | 34.6275i | −0.639608 | − | 1.10783i | −0.985519 | − | 0.169566i | \(-0.945763\pi\) |
0.345911 | − | 0.938267i | \(-0.387570\pi\) | |||||||
\(978\) | 16.7032 | + | 3.27432i | 0.534108 | + | 0.104701i | ||||
\(979\) | 10.8465 | 0.346655 | ||||||||
\(980\) | −26.1632 | − | 22.2371i | −0.835754 | − | 0.710338i | ||||
\(981\) | −0.984676 | −0.0314383 | ||||||||
\(982\) | −2.39712 | − | 0.469906i | −0.0764950 | − | 0.0149953i | ||||
\(983\) | −10.7628 | − | 18.6417i | −0.343279 | − | 0.594577i | 0.641761 | − | 0.766905i | \(-0.278204\pi\) |
−0.985040 | + | 0.172328i | \(0.944871\pi\) | |||||||
\(984\) | −0.175971 | + | 3.07699i | −0.00560975 | + | 0.0980909i | ||||
\(985\) | 2.12143 | + | 1.22481i | 0.0675943 | + | 0.0390256i | ||||
\(986\) | −7.91689 | − | 23.1116i | −0.252125 | − | 0.736022i | ||||
\(987\) | 19.3471 | − | 2.00268i | 0.615824 | − | 0.0637459i | ||||
\(988\) | 15.2908 | + | 19.7000i | 0.486464 | + | 0.626741i | ||||
\(989\) | −21.1309 | + | 36.5998i | −0.671923 | + | 1.16381i | ||||
\(990\) | −3.30788 | − | 2.88473i | −0.105131 | − | 0.0916829i | ||||
\(991\) | −9.69666 | + | 5.59837i | −0.308025 | + | 0.177838i | −0.646042 | − | 0.763302i | \(-0.723577\pi\) |
0.338018 | + | 0.941140i | \(0.390244\pi\) | |||||||
\(992\) | 48.2155 | + | 22.9514i | 1.53084 | + | 0.728708i | ||||
\(993\) | 0.628347i | 0.0199400i | ||||||||
\(994\) | 10.8916 | + | 0.987616i | 0.345461 | + | 0.0313253i | ||||
\(995\) | 6.62982i | 0.210179i | ||||||||
\(996\) | −1.45173 | − | 10.5733i | −0.0459998 | − | 0.335028i | ||||
\(997\) | −49.1699 | + | 28.3883i | −1.55723 | + | 0.899066i | −0.559707 | + | 0.828690i | \(0.689086\pi\) |
−0.997521 | + | 0.0703755i | \(0.977580\pi\) | |||||||
\(998\) | −39.3059 | + | 45.0714i | −1.24421 | + | 1.42671i | ||||
\(999\) | 3.75572 | − | 6.50509i | 0.118826 | − | 0.205812i |
(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 | 84.2.o.b.19.2 | yes | 8 | |
3.2 | odd | 2 | 252.2.bf.f.19.3 | 8 | |||
4.3 | odd | 2 | 84.2.o.a.19.1 | ✓ | 8 | ||
7.2 | even | 3 | 588.2.b.a.391.7 | 8 | |||
7.3 | odd | 6 | 84.2.o.a.31.1 | yes | 8 | ||
7.4 | even | 3 | 588.2.o.d.31.1 | 8 | |||
7.5 | odd | 6 | 588.2.b.b.391.7 | 8 | |||
7.6 | odd | 2 | 588.2.o.b.19.2 | 8 | |||
8.3 | odd | 2 | 1344.2.bl.j.1279.1 | 8 | |||
8.5 | even | 2 | 1344.2.bl.i.1279.1 | 8 | |||
12.11 | even | 2 | 252.2.bf.g.19.4 | 8 | |||
21.2 | odd | 6 | 1764.2.b.j.1567.2 | 8 | |||
21.5 | even | 6 | 1764.2.b.i.1567.2 | 8 | |||
21.17 | even | 6 | 252.2.bf.g.199.4 | 8 | |||
28.3 | even | 6 | inner | 84.2.o.b.31.2 | yes | 8 | |
28.11 | odd | 6 | 588.2.o.b.31.2 | 8 | |||
28.19 | even | 6 | 588.2.b.a.391.8 | 8 | |||
28.23 | odd | 6 | 588.2.b.b.391.8 | 8 | |||
28.27 | even | 2 | 588.2.o.d.19.1 | 8 | |||
56.3 | even | 6 | 1344.2.bl.i.703.1 | 8 | |||
56.45 | odd | 6 | 1344.2.bl.j.703.1 | 8 | |||
84.23 | even | 6 | 1764.2.b.i.1567.1 | 8 | |||
84.47 | odd | 6 | 1764.2.b.j.1567.1 | 8 | |||
84.59 | odd | 6 | 252.2.bf.f.199.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.2.o.a.19.1 | ✓ | 8 | 4.3 | odd | 2 | ||
84.2.o.a.31.1 | yes | 8 | 7.3 | odd | 6 | ||
84.2.o.b.19.2 | yes | 8 | 1.1 | even | 1 | trivial | |
84.2.o.b.31.2 | yes | 8 | 28.3 | even | 6 | inner | |
252.2.bf.f.19.3 | 8 | 3.2 | odd | 2 | |||
252.2.bf.f.199.3 | 8 | 84.59 | odd | 6 | |||
252.2.bf.g.19.4 | 8 | 12.11 | even | 2 | |||
252.2.bf.g.199.4 | 8 | 21.17 | even | 6 | |||
588.2.b.a.391.7 | 8 | 7.2 | even | 3 | |||
588.2.b.a.391.8 | 8 | 28.19 | even | 6 | |||
588.2.b.b.391.7 | 8 | 7.5 | odd | 6 | |||
588.2.b.b.391.8 | 8 | 28.23 | odd | 6 | |||
588.2.o.b.19.2 | 8 | 7.6 | odd | 2 | |||
588.2.o.b.31.2 | 8 | 28.11 | odd | 6 | |||
588.2.o.d.19.1 | 8 | 28.27 | even | 2 | |||
588.2.o.d.31.1 | 8 | 7.4 | even | 3 | |||
1344.2.bl.i.703.1 | 8 | 56.3 | even | 6 | |||
1344.2.bl.i.1279.1 | 8 | 8.5 | even | 2 | |||
1344.2.bl.j.703.1 | 8 | 56.45 | odd | 6 | |||
1344.2.bl.j.1279.1 | 8 | 8.3 | odd | 2 | |||
1764.2.b.i.1567.1 | 8 | 84.23 | even | 6 | |||
1764.2.b.i.1567.2 | 8 | 21.5 | even | 6 | |||
1764.2.b.j.1567.1 | 8 | 84.47 | odd | 6 | |||
1764.2.b.j.1567.2 | 8 | 21.2 | odd | 6 |