Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(11,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.y (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 234.11 |
Dual form | 234.2.y.a.149.9 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | −1.25339 | − | 1.19541i | −0.723646 | − | 0.690171i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −0.670386 | − | 0.179629i | −0.299806 | − | 0.0803327i | 0.105780 | − | 0.994390i | \(-0.466266\pi\) |
−0.405586 | + | 0.914057i | \(0.632933\pi\) | |||||||
\(6\) | −1.73157 | + | 0.0409976i | −0.706909 | + | 0.0167372i | ||||
\(7\) | −4.43374 | − | 1.18802i | −1.67579 | − | 0.449028i | −0.709131 | − | 0.705077i | \(-0.750912\pi\) |
−0.966664 | + | 0.256049i | \(0.917579\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0.141980 | + | 2.99664i | 0.0473267 | + | 0.998879i | ||||
\(10\) | −0.601052 | + | 0.347017i | −0.190069 | + | 0.109736i | ||||
\(11\) | −1.59115 | − | 1.59115i | −0.479751 | − | 0.479751i | 0.425301 | − | 0.905052i | \(-0.360168\pi\) |
−0.905052 | + | 0.425301i | \(0.860168\pi\) | |||||||
\(12\) | −1.19541 | + | 1.25339i | −0.345086 | + | 0.361823i | ||||
\(13\) | 3.60547 | + | 0.0239902i | 0.999978 | + | 0.00665368i | ||||
\(14\) | −3.97518 | + | 2.29507i | −1.06241 | + | 0.613383i | ||||
\(15\) | 0.625525 | + | 1.02653i | 0.161510 | + | 0.265050i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 2.32181 | − | 4.02149i | 0.563121 | − | 0.975354i | −0.434101 | − | 0.900864i | \(-0.642934\pi\) |
0.997222 | − | 0.0744895i | \(-0.0237327\pi\) | |||||||
\(18\) | 2.21934 | + | 2.01855i | 0.523103 | + | 0.475776i | ||||
\(19\) | −2.81042 | + | 0.753050i | −0.644755 | + | 0.172762i | −0.566356 | − | 0.824160i | \(-0.691647\pi\) |
−0.0783988 | + | 0.996922i | \(0.524981\pi\) | |||||||
\(20\) | −0.179629 | + | 0.670386i | −0.0401663 | + | 0.149903i | ||||
\(21\) | 4.13704 | + | 6.78919i | 0.902776 | + | 1.48152i | ||||
\(22\) | −2.25023 | −0.479751 | ||||||||
\(23\) | 2.37251 | − | 4.10931i | 0.494703 | − | 0.856851i | −0.505278 | − | 0.862957i | \(-0.668610\pi\) |
0.999981 | + | 0.00610531i | \(0.00194339\pi\) | |||||||
\(24\) | 0.0409976 | + | 1.73157i | 0.00836860 | + | 0.353454i | ||||
\(25\) | −3.91298 | − | 2.25916i | −0.782595 | − | 0.451832i | ||||
\(26\) | 2.56642 | − | 2.53249i | 0.503316 | − | 0.496662i | ||||
\(27\) | 3.40426 | − | 3.92569i | 0.655150 | − | 0.755499i | ||||
\(28\) | −1.18802 | + | 4.43374i | −0.224514 | + | 0.837897i | ||||
\(29\) | − | 4.88226i | − | 0.906613i | −0.891355 | − | 0.453307i | \(-0.850244\pi\) | ||
0.891355 | − | 0.453307i | \(-0.149756\pi\) | |||||||
\(30\) | 1.16818 | + | 0.283556i | 0.213280 | + | 0.0517700i | ||||
\(31\) | −1.74651 | + | 6.51808i | −0.313683 | + | 1.17068i | 0.611526 | + | 0.791224i | \(0.290556\pi\) |
−0.925209 | + | 0.379457i | \(0.876111\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 0.0922541 | + | 3.89642i | 0.0160594 | + | 0.678280i | ||||
\(34\) | −1.20186 | − | 4.48539i | −0.206116 | − | 0.769237i | ||||
\(35\) | 2.75891 | + | 1.59286i | 0.466341 | + | 0.269242i | ||||
\(36\) | 2.99664 | − | 0.141980i | 0.499440 | − | 0.0236633i | ||||
\(37\) | 3.44953 | + | 0.924299i | 0.567099 | + | 0.151954i | 0.530966 | − | 0.847393i | \(-0.321829\pi\) |
0.0361333 | + | 0.999347i | \(0.488496\pi\) | |||||||
\(38\) | −1.45478 | + | 2.51976i | −0.235997 | + | 0.408758i | ||||
\(39\) | −4.49039 | − | 4.34009i | −0.719038 | − | 0.694971i | ||||
\(40\) | 0.347017 | + | 0.601052i | 0.0548682 | + | 0.0950346i | ||||
\(41\) | −1.48606 | − | 5.54605i | −0.232083 | − | 0.866147i | −0.979442 | − | 0.201726i | \(-0.935345\pi\) |
0.747358 | − | 0.664421i | \(-0.231322\pi\) | |||||||
\(42\) | 7.72601 | + | 1.87535i | 1.19215 | + | 0.289374i | ||||
\(43\) | 4.59562 | − | 2.65328i | 0.700826 | − | 0.404622i | −0.106829 | − | 0.994277i | \(-0.534070\pi\) |
0.807655 | + | 0.589655i | \(0.200736\pi\) | |||||||
\(44\) | −1.59115 | + | 1.59115i | −0.239875 | + | 0.239875i | ||||
\(45\) | 0.443103 | − | 2.03441i | 0.0660539 | − | 0.303272i | ||||
\(46\) | −1.22810 | − | 4.58334i | −0.181074 | − | 0.675777i | ||||
\(47\) | 11.6601 | − | 3.12430i | 1.70080 | − | 0.455727i | 0.727656 | − | 0.685943i | \(-0.240610\pi\) |
0.973140 | + | 0.230216i | \(0.0739433\pi\) | |||||||
\(48\) | 1.25339 | + | 1.19541i | 0.180911 | + | 0.172543i | ||||
\(49\) | 12.1845 | + | 7.03470i | 1.74064 | + | 1.00496i | ||||
\(50\) | −4.36436 | + | 1.16943i | −0.617213 | + | 0.165382i | ||||
\(51\) | −7.71746 | + | 2.26498i | −1.08066 | + | 0.317161i | ||||
\(52\) | 0.0239902 | − | 3.60547i | 0.00332684 | − | 0.499989i | ||||
\(53\) | 5.06576i | 0.695835i | 0.937525 | + | 0.347918i | \(0.113111\pi\) | ||||
−0.937525 | + | 0.347918i | \(0.886889\pi\) | |||||||
\(54\) | −0.368703 | − | 5.18305i | −0.0501741 | − | 0.705324i | ||||
\(55\) | 0.780869 | + | 1.35250i | 0.105292 | + | 0.182372i | ||||
\(56\) | 2.29507 | + | 3.97518i | 0.306692 | + | 0.531206i | ||||
\(57\) | 4.42276 | + | 2.41575i | 0.585810 | + | 0.319973i | ||||
\(58\) | −3.45228 | − | 3.45228i | −0.453307 | − | 0.453307i | ||||
\(59\) | 3.79710 | + | 3.79710i | 0.494341 | + | 0.494341i | 0.909671 | − | 0.415330i | \(-0.136334\pi\) |
−0.415330 | + | 0.909671i | \(0.636334\pi\) | |||||||
\(60\) | 1.02653 | − | 0.625525i | 0.132525 | − | 0.0807549i | ||||
\(61\) | −1.56055 | − | 2.70295i | −0.199808 | − | 0.346078i | 0.748658 | − | 0.662956i | \(-0.230699\pi\) |
−0.948466 | + | 0.316879i | \(0.897365\pi\) | |||||||
\(62\) | 3.37401 | + | 5.84395i | 0.428499 | + | 0.742182i | ||||
\(63\) | 2.93055 | − | 13.4550i | 0.369215 | − | 1.69517i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −2.41275 | − | 0.663731i | −0.299265 | − | 0.0823257i | ||||
\(66\) | 2.82042 | + | 2.68995i | 0.347170 | + | 0.331110i | ||||
\(67\) | −12.6377 | + | 3.38625i | −1.54393 | + | 0.413696i | −0.927535 | − | 0.373737i | \(-0.878076\pi\) |
−0.616400 | + | 0.787433i | \(0.711410\pi\) | |||||||
\(68\) | −4.02149 | − | 2.32181i | −0.487677 | − | 0.281560i | ||||
\(69\) | −7.88601 | + | 2.31445i | −0.949364 | + | 0.278627i | ||||
\(70\) | 3.07717 | − | 0.824524i | 0.367792 | − | 0.0985495i | ||||
\(71\) | −4.16970 | − | 15.5615i | −0.494852 | − | 1.84681i | −0.530857 | − | 0.847461i | \(-0.678130\pi\) |
0.0360054 | − | 0.999352i | \(-0.488537\pi\) | |||||||
\(72\) | 2.01855 | − | 2.21934i | 0.237888 | − | 0.261552i | ||||
\(73\) | −5.55110 | + | 5.55110i | −0.649707 | + | 0.649707i | −0.952922 | − | 0.303215i | \(-0.901940\pi\) |
0.303215 | + | 0.952922i | \(0.401940\pi\) | |||||||
\(74\) | 3.09276 | − | 1.78561i | 0.359526 | − | 0.207573i | ||||
\(75\) | 2.20387 | + | 7.50923i | 0.254481 | + | 0.867091i | ||||
\(76\) | 0.753050 | + | 2.81042i | 0.0863808 | + | 0.322378i | ||||
\(77\) | 5.16444 | + | 8.94507i | 0.588542 | + | 1.01939i | ||||
\(78\) | −6.24409 | + | 0.106275i | −0.707004 | + | 0.0120333i | ||||
\(79\) | −1.55400 | + | 2.69161i | −0.174839 | + | 0.302829i | −0.940105 | − | 0.340884i | \(-0.889274\pi\) |
0.765267 | + | 0.643713i | \(0.222607\pi\) | |||||||
\(80\) | 0.670386 | + | 0.179629i | 0.0749514 | + | 0.0200832i | ||||
\(81\) | −8.95968 | + | 0.850926i | −0.995520 | + | 0.0945473i | ||||
\(82\) | −4.97245 | − | 2.87085i | −0.549115 | − | 0.317032i | ||||
\(83\) | 2.45977 | + | 9.17998i | 0.269995 | + | 1.00763i | 0.959122 | + | 0.282993i | \(0.0913274\pi\) |
−0.689127 | + | 0.724640i | \(0.742006\pi\) | |||||||
\(84\) | 6.78919 | − | 4.13704i | 0.740761 | − | 0.451388i | ||||
\(85\) | −2.27888 | + | 2.27888i | −0.247180 | + | 0.247180i | ||||
\(86\) | 1.37344 | − | 5.12575i | 0.148102 | − | 0.552724i | ||||
\(87\) | −5.83631 | + | 6.11938i | −0.625719 | + | 0.656067i | ||||
\(88\) | 2.25023i | 0.239875i | ||||||||
\(89\) | −0.648204 | + | 2.41913i | −0.0687095 | + | 0.256427i | −0.991733 | − | 0.128315i | \(-0.959043\pi\) |
0.923024 | + | 0.384743i | \(0.125710\pi\) | |||||||
\(90\) | −1.12522 | − | 1.75186i | −0.118609 | − | 0.184663i | ||||
\(91\) | −15.9572 | − | 4.38972i | −1.67277 | − | 0.460168i | ||||
\(92\) | −4.10931 | − | 2.37251i | −0.428426 | − | 0.247352i | ||||
\(93\) | 9.98086 | − | 6.08190i | 1.03497 | − | 0.630664i | ||||
\(94\) | 6.03569 | − | 10.4541i | 0.622534 | − | 1.07826i | ||||
\(95\) | 2.01934 | 0.207180 | ||||||||
\(96\) | 1.73157 | − | 0.0409976i | 0.176727 | − | 0.00418430i | ||||
\(97\) | −0.317765 | + | 1.18591i | −0.0322641 | + | 0.120411i | −0.980180 | − | 0.198110i | \(-0.936520\pi\) |
0.947916 | + | 0.318521i | \(0.103186\pi\) | |||||||
\(98\) | 13.5900 | − | 3.64143i | 1.37280 | − | 0.367840i | ||||
\(99\) | 4.54220 | − | 4.99402i | 0.456508 | − | 0.501918i | ||||
\(100\) | −2.25916 | + | 3.91298i | −0.225916 | + | 0.391298i | ||||
\(101\) | −3.76440 | −0.374572 | −0.187286 | − | 0.982305i | \(-0.559969\pi\) | ||||
−0.187286 | + | 0.982305i | \(0.559969\pi\) | |||||||
\(102\) | −3.85549 | + | 7.05866i | −0.381750 | + | 0.698911i | ||||
\(103\) | 13.1567 | − | 7.59604i | 1.29637 | − | 0.748460i | 0.316596 | − | 0.948561i | \(-0.397460\pi\) |
0.979775 | + | 0.200100i | \(0.0641268\pi\) | |||||||
\(104\) | −2.53249 | − | 2.56642i | −0.248331 | − | 0.251658i | ||||
\(105\) | −1.55387 | − | 5.29451i | −0.151643 | − | 0.516691i | ||||
\(106\) | 3.58203 | + | 3.58203i | 0.347918 | + | 0.347918i | ||||
\(107\) | −4.73458 | + | 2.73351i | −0.457709 | + | 0.264259i | −0.711081 | − | 0.703111i | \(-0.751794\pi\) |
0.253371 | + | 0.967369i | \(0.418461\pi\) | |||||||
\(108\) | −3.92569 | − | 3.40426i | −0.377749 | − | 0.327575i | ||||
\(109\) | 5.10130 | + | 5.10130i | 0.488616 | + | 0.488616i | 0.907869 | − | 0.419253i | \(-0.137708\pi\) |
−0.419253 | + | 0.907869i | \(0.637708\pi\) | |||||||
\(110\) | 1.50852 | + | 0.404207i | 0.143832 | + | 0.0385397i | ||||
\(111\) | −3.21869 | − | 5.28212i | −0.305505 | − | 0.501356i | ||||
\(112\) | 4.43374 | + | 1.18802i | 0.418949 | + | 0.112257i | ||||
\(113\) | − | 0.472893i | − | 0.0444861i | −0.999753 | − | 0.0222430i | \(-0.992919\pi\) | ||
0.999753 | − | 0.0222430i | \(-0.00708076\pi\) | |||||||
\(114\) | 4.83556 | − | 1.41918i | 0.452891 | − | 0.132918i | ||||
\(115\) | −2.32865 | + | 2.32865i | −0.217148 | + | 0.217148i | ||||
\(116\) | −4.88226 | −0.453307 | ||||||||
\(117\) | 0.440015 | + | 10.8077i | 0.0406794 | + | 0.999172i | ||||
\(118\) | 5.36992 | 0.494341 | ||||||||
\(119\) | −15.0719 | + | 15.0719i | −1.38164 | + | 1.38164i | ||||
\(120\) | 0.283556 | − | 1.16818i | 0.0258850 | − | 0.106640i | ||||
\(121\) | − | 5.93646i | − | 0.539678i | ||||||
\(122\) | −3.01475 | − | 0.807800i | −0.272943 | − | 0.0731348i | ||||
\(123\) | −4.76720 | + | 8.72782i | −0.429844 | + | 0.786961i | ||||
\(124\) | 6.51808 | + | 1.74651i | 0.585341 | + | 0.156842i | ||||
\(125\) | 4.67118 | + | 4.67118i | 0.417803 | + | 0.417803i | ||||
\(126\) | −7.44189 | − | 11.5863i | −0.662976 | − | 1.03219i | ||||
\(127\) | −0.377096 | + | 0.217716i | −0.0334618 | + | 0.0193192i | −0.516638 | − | 0.856204i | \(-0.672817\pi\) |
0.483176 | + | 0.875523i | \(0.339483\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | −8.93188 | − | 2.16806i | −0.786408 | − | 0.190887i | ||||
\(130\) | −2.17540 | + | 1.23674i | −0.190795 | + | 0.108469i | ||||
\(131\) | −9.02321 | + | 5.20955i | −0.788361 | + | 0.455161i | −0.839385 | − | 0.543537i | \(-0.817085\pi\) |
0.0510241 | + | 0.998697i | \(0.483751\pi\) | |||||||
\(132\) | 3.89642 | − | 0.0922541i | 0.339140 | − | 0.00802969i | ||||
\(133\) | 13.3553 | 1.15805 | ||||||||
\(134\) | −6.54173 | + | 11.3306i | −0.565119 | + | 0.978815i | ||||
\(135\) | −2.98734 | + | 2.02022i | −0.257109 | + | 0.173873i | ||||
\(136\) | −4.48539 | + | 1.20186i | −0.384619 | + | 0.103058i | ||||
\(137\) | 1.97943 | − | 7.38734i | 0.169114 | − | 0.631143i | −0.828365 | − | 0.560188i | \(-0.810729\pi\) |
0.997480 | − | 0.0709549i | \(-0.0226046\pi\) | |||||||
\(138\) | −3.93969 | + | 7.21281i | −0.335369 | + | 0.613996i | ||||
\(139\) | 11.1732 | 0.947702 | 0.473851 | − | 0.880605i | \(-0.342863\pi\) | ||||
0.473851 | + | 0.880605i | \(0.342863\pi\) | |||||||
\(140\) | 1.59286 | − | 2.75891i | 0.134621 | − | 0.233171i | ||||
\(141\) | −18.3495 | − | 10.0226i | −1.54530 | − | 0.844055i | ||||
\(142\) | −13.9521 | − | 8.05524i | −1.17083 | − | 0.675980i | ||||
\(143\) | −5.69869 | − | 5.77503i | −0.476548 | − | 0.482932i | ||||
\(144\) | −0.141980 | − | 2.99664i | −0.0118317 | − | 0.249720i | ||||
\(145\) | −0.876997 | + | 3.27300i | −0.0728307 | + | 0.271808i | ||||
\(146\) | 7.85044i | 0.649707i | ||||||||
\(147\) | −6.86253 | − | 23.3827i | −0.566012 | − | 1.92857i | ||||
\(148\) | 0.924299 | − | 3.44953i | 0.0759769 | − | 0.283550i | ||||
\(149\) | −5.23203 | + | 5.23203i | −0.428625 | + | 0.428625i | −0.888160 | − | 0.459535i | \(-0.848016\pi\) |
0.459535 | + | 0.888160i | \(0.348016\pi\) | |||||||
\(150\) | 6.86820 | + | 3.75146i | 0.560786 | + | 0.306305i | ||||
\(151\) | −3.70881 | − | 13.8415i | −0.301818 | − | 1.12640i | −0.935650 | − | 0.352930i | \(-0.885185\pi\) |
0.633831 | − | 0.773471i | \(-0.281481\pi\) | |||||||
\(152\) | 2.51976 | + | 1.45478i | 0.204379 | + | 0.117998i | ||||
\(153\) | 12.3806 | + | 6.38664i | 1.00091 | + | 0.516329i | ||||
\(154\) | 9.97693 | + | 2.67331i | 0.803964 | + | 0.215421i | ||||
\(155\) | 2.34168 | − | 4.05590i | 0.188088 | − | 0.325778i | ||||
\(156\) | −4.34009 | + | 4.49039i | −0.347486 | + | 0.359519i | ||||
\(157\) | −2.86104 | − | 4.95546i | −0.228336 | − | 0.395489i | 0.728979 | − | 0.684536i | \(-0.239995\pi\) |
−0.957315 | + | 0.289047i | \(0.906662\pi\) | |||||||
\(158\) | 0.804409 | + | 3.00210i | 0.0639954 | + | 0.238834i | ||||
\(159\) | 6.05567 | − | 6.34938i | 0.480246 | − | 0.503538i | ||||
\(160\) | 0.601052 | − | 0.347017i | 0.0475173 | − | 0.0274341i | ||||
\(161\) | −15.4010 | + | 15.4010i | −1.21377 | + | 1.21377i | ||||
\(162\) | −5.73376 | + | 6.93715i | −0.450487 | + | 0.545034i | ||||
\(163\) | −1.44621 | − | 5.39731i | −0.113276 | − | 0.422750i | 0.885877 | − | 0.463921i | \(-0.153558\pi\) |
−0.999152 | + | 0.0411708i | \(0.986891\pi\) | |||||||
\(164\) | −5.54605 | + | 1.48606i | −0.433074 | + | 0.116042i | ||||
\(165\) | 0.638066 | − | 2.62868i | 0.0496734 | − | 0.204642i | ||||
\(166\) | 8.23054 | + | 4.75191i | 0.638814 | + | 0.368819i | ||||
\(167\) | 23.6549 | − | 6.33832i | 1.83047 | − | 0.490474i | 0.832495 | − | 0.554033i | \(-0.186912\pi\) |
0.997978 | + | 0.0635593i | \(0.0202452\pi\) | |||||||
\(168\) | 1.87535 | − | 7.72601i | 0.144687 | − | 0.596075i | ||||
\(169\) | 12.9988 | + | 0.172992i | 0.999911 | + | 0.0133071i | ||||
\(170\) | 3.22283i | 0.247180i | ||||||||
\(171\) | −2.65564 | − | 8.31490i | −0.203082 | − | 0.635856i | ||||
\(172\) | −2.65328 | − | 4.59562i | −0.202311 | − | 0.350413i | ||||
\(173\) | −5.29699 | − | 9.17465i | −0.402722 | − | 0.697536i | 0.591331 | − | 0.806429i | \(-0.298603\pi\) |
−0.994053 | + | 0.108893i | \(0.965269\pi\) | |||||||
\(174\) | 0.200161 | + | 8.45396i | 0.0151742 | + | 0.640893i | ||||
\(175\) | 14.6652 | + | 14.6652i | 1.10858 | + | 1.10858i | ||||
\(176\) | 1.59115 | + | 1.59115i | 0.119938 | + | 0.119938i | ||||
\(177\) | −0.220154 | − | 9.29836i | −0.0165478 | − | 0.698908i | ||||
\(178\) | 1.25223 | + | 2.16893i | 0.0938590 | + | 0.162569i | ||||
\(179\) | −6.22591 | − | 10.7836i | −0.465346 | − | 0.806003i | 0.533871 | − | 0.845566i | \(-0.320737\pi\) |
−0.999217 | + | 0.0395630i | \(0.987403\pi\) | |||||||
\(180\) | −2.03441 | − | 0.443103i | −0.151636 | − | 0.0330269i | ||||
\(181\) | 18.4465i | 1.37112i | 0.728018 | + | 0.685558i | \(0.240442\pi\) | ||||
−0.728018 | + | 0.685558i | \(0.759558\pi\) | |||||||
\(182\) | −14.3875 | + | 8.17945i | −1.06647 | + | 0.606301i | ||||
\(183\) | −1.27516 | + | 5.25336i | −0.0942627 | + | 0.388339i | ||||
\(184\) | −4.58334 | + | 1.22810i | −0.337889 | + | 0.0905370i | ||||
\(185\) | −2.14648 | − | 1.23927i | −0.157813 | − | 0.0911132i | ||||
\(186\) | 2.75698 | − | 11.3581i | 0.202151 | − | 0.832815i | ||||
\(187\) | −10.0932 | + | 2.70445i | −0.738084 | + | 0.197769i | ||||
\(188\) | −3.12430 | − | 11.6601i | −0.227863 | − | 0.850398i | ||||
\(189\) | −19.7574 | + | 13.3611i | −1.43714 | + | 0.971880i | ||||
\(190\) | 1.42789 | − | 1.42789i | 0.103590 | − | 0.103590i | ||||
\(191\) | 7.37477 | − | 4.25783i | 0.533620 | − | 0.308085i | −0.208870 | − | 0.977944i | \(-0.566978\pi\) |
0.742489 | + | 0.669858i | \(0.233645\pi\) | |||||||
\(192\) | 1.19541 | − | 1.25339i | 0.0862714 | − | 0.0904557i | ||||
\(193\) | −4.89947 | − | 18.2851i | −0.352671 | − | 1.31619i | −0.883390 | − | 0.468639i | \(-0.844744\pi\) |
0.530718 | − | 0.847548i | \(-0.321922\pi\) | |||||||
\(194\) | 0.613875 | + | 1.06326i | 0.0440736 | + | 0.0763378i | ||||
\(195\) | 2.23069 | + | 3.71614i | 0.159743 | + | 0.266119i | ||||
\(196\) | 7.03470 | − | 12.1845i | 0.502478 | − | 0.870318i | ||||
\(197\) | −16.8453 | − | 4.51369i | −1.20018 | − | 0.321587i | −0.397278 | − | 0.917698i | \(-0.630045\pi\) |
−0.802902 | + | 0.596111i | \(0.796712\pi\) | |||||||
\(198\) | −0.319488 | − | 6.74313i | −0.0227050 | − | 0.479213i | ||||
\(199\) | 20.0170 | + | 11.5568i | 1.41897 | + | 0.819243i | 0.996208 | − | 0.0869986i | \(-0.0277276\pi\) |
0.422761 | + | 0.906241i | \(0.361061\pi\) | |||||||
\(200\) | 1.16943 | + | 4.36436i | 0.0826909 | + | 0.308607i | ||||
\(201\) | 19.8879 | + | 10.8629i | 1.40278 | + | 0.766210i | ||||
\(202\) | −2.66184 | + | 2.66184i | −0.187286 | + | 0.187286i | ||||
\(203\) | −5.80020 | + | 21.6467i | −0.407095 | + | 1.51930i | ||||
\(204\) | 2.26498 | + | 7.71746i | 0.158580 | + | 0.540331i | ||||
\(205\) | 3.98493i | 0.278320i | ||||||||
\(206\) | 3.93200 | − | 14.6744i | 0.273955 | − | 1.02242i | ||||
\(207\) | 12.6510 | + | 6.52613i | 0.879304 | + | 0.453597i | ||||
\(208\) | −3.60547 | − | 0.0239902i | −0.249994 | − | 0.00166342i | ||||
\(209\) | 5.67003 | + | 3.27359i | 0.392204 | + | 0.226439i | ||||
\(210\) | −4.84254 | − | 2.64503i | −0.334167 | − | 0.182524i | ||||
\(211\) | 5.19424 | − | 8.99669i | 0.357586 | − | 0.619358i | −0.629971 | − | 0.776619i | \(-0.716933\pi\) |
0.987557 | + | 0.157261i | \(0.0502665\pi\) | |||||||
\(212\) | 5.06576 | 0.347918 | ||||||||
\(213\) | −13.3762 | + | 24.4892i | −0.916520 | + | 1.67797i | ||||
\(214\) | −1.41497 | + | 5.28074i | −0.0967254 | + | 0.360984i | ||||
\(215\) | −3.55745 | + | 0.953215i | −0.242616 | + | 0.0650087i | ||||
\(216\) | −5.18305 | + | 0.368703i | −0.352662 | + | 0.0250870i | ||||
\(217\) | 15.4872 | − | 26.8246i | 1.05134 | − | 1.82097i | ||||
\(218\) | 7.21433 | 0.488616 | ||||||||
\(219\) | 13.5935 | − | 0.321849i | 0.918567 | − | 0.0217485i | ||||
\(220\) | 1.35250 | − | 0.780869i | 0.0911858 | − | 0.0526462i | ||||
\(221\) | 8.46768 | − | 14.4437i | 0.569598 | − | 0.971585i | ||||
\(222\) | −6.01098 | − | 1.45906i | −0.403431 | − | 0.0979258i | ||||
\(223\) | 11.2191 | + | 11.2191i | 0.751283 | + | 0.751283i | 0.974719 | − | 0.223435i | \(-0.0717271\pi\) |
−0.223435 | + | 0.974719i | \(0.571727\pi\) | |||||||
\(224\) | 3.97518 | − | 2.29507i | 0.265603 | − | 0.153346i | ||||
\(225\) | 6.21432 | − | 12.0465i | 0.414288 | − | 0.803102i | ||||
\(226\) | −0.334386 | − | 0.334386i | −0.0222430 | − | 0.0222430i | ||||
\(227\) | 6.15723 | + | 1.64982i | 0.408669 | + | 0.109503i | 0.457296 | − | 0.889314i | \(-0.348818\pi\) |
−0.0486270 | + | 0.998817i | \(0.515485\pi\) | |||||||
\(228\) | 2.41575 | − | 4.42276i | 0.159987 | − | 0.292905i | ||||
\(229\) | 12.3575 | + | 3.31118i | 0.816606 | + | 0.218809i | 0.642862 | − | 0.765982i | \(-0.277747\pi\) |
0.173744 | + | 0.984791i | \(0.444414\pi\) | |||||||
\(230\) | 3.29321i | 0.217148i | ||||||||
\(231\) | 4.21998 | − | 17.3853i | 0.277654 | − | 1.14387i | ||||
\(232\) | −3.45228 | + | 3.45228i | −0.226653 | + | 0.226653i | ||||
\(233\) | 18.2644 | 1.19654 | 0.598271 | − | 0.801294i | \(-0.295855\pi\) | ||||
0.598271 | + | 0.801294i | \(0.295855\pi\) | |||||||
\(234\) | 7.95334 | + | 7.33106i | 0.519926 | + | 0.479246i | ||||
\(235\) | −8.37796 | −0.546518 | ||||||||
\(236\) | 3.79710 | − | 3.79710i | 0.247170 | − | 0.247170i | ||||
\(237\) | 5.16535 | − | 1.51597i | 0.335525 | − | 0.0984726i | ||||
\(238\) | 21.3148i | 1.38164i | ||||||||
\(239\) | 19.3192 | + | 5.17656i | 1.24965 | + | 0.334844i | 0.822203 | − | 0.569195i | \(-0.192745\pi\) |
0.427451 | + | 0.904039i | \(0.359412\pi\) | |||||||
\(240\) | −0.625525 | − | 1.02653i | −0.0403775 | − | 0.0662624i | ||||
\(241\) | −14.5426 | − | 3.89667i | −0.936768 | − | 0.251006i | −0.242030 | − | 0.970269i | \(-0.577813\pi\) |
−0.694739 | + | 0.719262i | \(0.744480\pi\) | |||||||
\(242\) | −4.19771 | − | 4.19771i | −0.269839 | − | 0.269839i | ||||
\(243\) | 12.2472 | + | 9.64397i | 0.785658 | + | 0.618661i | ||||
\(244\) | −2.70295 | + | 1.56055i | −0.173039 | + | 0.0999040i | ||||
\(245\) | −6.90465 | − | 6.90465i | −0.441122 | − | 0.441122i | ||||
\(246\) | 2.80058 | + | 9.54242i | 0.178559 | + | 0.608403i | ||||
\(247\) | −10.1510 | + | 2.64768i | −0.645890 | + | 0.168468i | ||||
\(248\) | 5.84395 | − | 3.37401i | 0.371091 | − | 0.214250i | ||||
\(249\) | 7.89080 | − | 14.4465i | 0.500059 | − | 0.915512i | ||||
\(250\) | 6.60604 | 0.417803 | ||||||||
\(251\) | −13.1431 | + | 22.7645i | −0.829586 | + | 1.43689i | 0.0687771 | + | 0.997632i | \(0.478090\pi\) |
−0.898363 | + | 0.439253i | \(0.855243\pi\) | |||||||
\(252\) | −13.4550 | − | 2.93055i | −0.847584 | − | 0.184607i | ||||
\(253\) | −10.3136 | + | 2.76352i | −0.648409 | + | 0.173741i | ||||
\(254\) | −0.112698 | + | 0.420596i | −0.00707132 | + | 0.0263905i | ||||
\(255\) | 5.58054 | − | 0.132128i | 0.349467 | − | 0.00827419i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 6.83291 | − | 11.8349i | 0.426225 | − | 0.738244i | −0.570309 | − | 0.821430i | \(-0.693176\pi\) |
0.996534 | + | 0.0831866i | \(0.0265098\pi\) | |||||||
\(258\) | −7.84884 | + | 4.78274i | −0.488648 | + | 0.297761i | ||||
\(259\) | −14.1962 | − | 8.19619i | −0.882110 | − | 0.509286i | ||||
\(260\) | −0.663731 | + | 2.41275i | −0.0411629 | + | 0.149632i | ||||
\(261\) | 14.6304 | − | 0.693184i | 0.905597 | − | 0.0429070i | ||||
\(262\) | −2.69666 | + | 10.0641i | −0.166600 | + | 0.621761i | ||||
\(263\) | − | 4.79600i | − | 0.295734i | −0.989007 | − | 0.147867i | \(-0.952759\pi\) | ||
0.989007 | − | 0.147867i | \(-0.0472408\pi\) | |||||||
\(264\) | 2.68995 | − | 2.82042i | 0.165555 | − | 0.173585i | ||||
\(265\) | 0.909959 | − | 3.39601i | 0.0558983 | − | 0.208615i | ||||
\(266\) | 9.44363 | − | 9.44363i | 0.579026 | − | 0.579026i | ||||
\(267\) | 3.70431 | − | 2.25725i | 0.226700 | − | 0.138141i | ||||
\(268\) | 3.38625 | + | 12.6377i | 0.206848 | + | 0.771967i | ||||
\(269\) | 21.5499 | + | 12.4418i | 1.31392 | + | 0.758591i | 0.982743 | − | 0.184978i | \(-0.0592214\pi\) |
0.331176 | + | 0.943569i | \(0.392555\pi\) | |||||||
\(270\) | −0.683856 | + | 3.54088i | −0.0416181 | + | 0.215491i | ||||
\(271\) | −0.766787 | − | 0.205460i | −0.0465790 | − | 0.0124808i | 0.235454 | − | 0.971885i | \(-0.424342\pi\) |
−0.282033 | + | 0.959405i | \(0.591009\pi\) | |||||||
\(272\) | −2.32181 | + | 4.02149i | −0.140780 | + | 0.243838i | ||||
\(273\) | 14.7531 | + | 24.5775i | 0.892898 | + | 1.48750i | ||||
\(274\) | −3.82397 | − | 6.62331i | −0.231015 | − | 0.400129i | ||||
\(275\) | 2.63148 | + | 9.82081i | 0.158684 | + | 0.592217i | ||||
\(276\) | 2.31445 | + | 7.88601i | 0.139313 | + | 0.474682i | ||||
\(277\) | 28.5357 | − | 16.4751i | 1.71455 | − | 0.989893i | 0.786366 | − | 0.617760i | \(-0.211960\pi\) |
0.928179 | − | 0.372133i | \(-0.121373\pi\) | |||||||
\(278\) | 7.90068 | − | 7.90068i | 0.473851 | − | 0.473851i | ||||
\(279\) | −19.7803 | − | 4.30823i | −1.18422 | − | 0.257927i | ||||
\(280\) | −0.824524 | − | 3.07717i | −0.0492747 | − | 0.183896i | ||||
\(281\) | −17.5706 | + | 4.70802i | −1.04817 | + | 0.280857i | −0.741496 | − | 0.670957i | \(-0.765883\pi\) |
−0.306676 | + | 0.951814i | \(0.599217\pi\) | |||||||
\(282\) | −20.0621 | + | 5.88797i | −1.19468 | + | 0.350624i | ||||
\(283\) | −21.1331 | − | 12.2012i | −1.25624 | − | 0.725288i | −0.283895 | − | 0.958856i | \(-0.591627\pi\) |
−0.972341 | + | 0.233568i | \(0.924960\pi\) | |||||||
\(284\) | −15.5615 | + | 4.16970i | −0.923406 | + | 0.247426i | ||||
\(285\) | −2.53102 | − | 2.41394i | −0.149925 | − | 0.142989i | ||||
\(286\) | −8.11314 | − | 0.0539834i | −0.479740 | − | 0.00319211i | ||||
\(287\) | 26.3552i | 1.55570i | ||||||||
\(288\) | −2.21934 | − | 2.01855i | −0.130776 | − | 0.118944i | ||||
\(289\) | −2.28157 | − | 3.95179i | −0.134210 | − | 0.232458i | ||||
\(290\) | 1.69423 | + | 2.93449i | 0.0994886 | + | 0.172319i | ||||
\(291\) | 1.81594 | − | 1.10656i | 0.106452 | − | 0.0648674i | ||||
\(292\) | 5.55110 | + | 5.55110i | 0.324853 | + | 0.324853i | ||||
\(293\) | 2.57215 | + | 2.57215i | 0.150266 | + | 0.150266i | 0.778237 | − | 0.627971i | \(-0.216114\pi\) |
−0.627971 | + | 0.778237i | \(0.716114\pi\) | |||||||
\(294\) | −21.3866 | − | 11.6815i | −1.24729 | − | 0.681279i | ||||
\(295\) | −1.86345 | − | 3.22760i | −0.108494 | − | 0.187918i | ||||
\(296\) | −1.78561 | − | 3.09276i | −0.103786 | − | 0.179763i | ||||
\(297\) | −11.6631 | + | 0.829666i | −0.676760 | + | 0.0481421i | ||||
\(298\) | 7.39921i | 0.428625i | ||||||||
\(299\) | 8.65261 | − | 14.7591i | 0.500394 | − | 0.853541i | ||||
\(300\) | 7.50923 | − | 2.20387i | 0.433546 | − | 0.127240i | ||||
\(301\) | −23.5279 | + | 6.30429i | −1.35613 | + | 0.363373i | ||||
\(302\) | −12.4099 | − | 7.16486i | −0.714110 | − | 0.412291i | ||||
\(303\) | 4.71827 | + | 4.50002i | 0.271058 | + | 0.258519i | ||||
\(304\) | 2.81042 | − | 0.753050i | 0.161189 | − | 0.0431904i | ||||
\(305\) | 0.560641 | + | 2.09234i | 0.0321022 | + | 0.119807i | ||||
\(306\) | 13.2704 | − | 4.23836i | 0.758620 | − | 0.242291i | ||||
\(307\) | 10.8993 | − | 10.8993i | 0.622055 | − | 0.622055i | −0.324001 | − | 0.946057i | \(-0.605028\pi\) |
0.946057 | + | 0.324001i | \(0.105028\pi\) | |||||||
\(308\) | 8.94507 | − | 5.16444i | 0.509693 | − | 0.294271i | ||||
\(309\) | −25.5709 | − | 6.20690i | −1.45468 | − | 0.353098i | ||||
\(310\) | −1.21214 | − | 4.52377i | −0.0688450 | − | 0.256933i | ||||
\(311\) | −5.37895 | − | 9.31661i | −0.305012 | − | 0.528296i | 0.672252 | − | 0.740322i | \(-0.265327\pi\) |
−0.977264 | + | 0.212026i | \(0.931994\pi\) | |||||||
\(312\) | 0.106275 | + | 6.24409i | 0.00601664 | + | 0.353502i | ||||
\(313\) | 6.34655 | − | 10.9926i | 0.358728 | − | 0.621336i | −0.629020 | − | 0.777389i | \(-0.716544\pi\) |
0.987749 | + | 0.156053i | \(0.0498771\pi\) | |||||||
\(314\) | −5.52710 | − | 1.48098i | −0.311912 | − | 0.0835766i | ||||
\(315\) | −4.38151 | + | 8.49361i | −0.246870 | + | 0.478561i | ||||
\(316\) | 2.69161 | + | 1.55400i | 0.151415 | + | 0.0874193i | ||||
\(317\) | −6.74033 | − | 25.1552i | −0.378574 | − | 1.41286i | −0.848051 | − | 0.529914i | \(-0.822224\pi\) |
0.469477 | − | 0.882945i | \(-0.344443\pi\) | |||||||
\(318\) | −0.207684 | − | 8.77169i | −0.0116463 | − | 0.491892i | ||||
\(319\) | −7.76843 | + | 7.76843i | −0.434948 | + | 0.434948i | ||||
\(320\) | 0.179629 | − | 0.670386i | 0.0100416 | − | 0.0374757i | ||||
\(321\) | 9.20196 | + | 2.23362i | 0.513603 | + | 0.124668i | ||||
\(322\) | 21.7803i | 1.21377i | ||||||||
\(323\) | −3.49687 | + | 13.0505i | −0.194571 | + | 0.726150i | ||||
\(324\) | 0.850926 | + | 8.95968i | 0.0472737 | + | 0.497760i | ||||
\(325\) | −14.0539 | − | 8.23920i | −0.779572 | − | 0.457029i | ||||
\(326\) | −4.83910 | − | 2.79386i | −0.268013 | − | 0.154737i | ||||
\(327\) | −0.295770 | − | 12.4921i | −0.0163561 | − | 0.690814i | ||||
\(328\) | −2.87085 | + | 4.97245i | −0.158516 | + | 0.274558i | ||||
\(329\) | −55.4094 | −3.05482 | ||||||||
\(330\) | −1.40758 | − | 2.30994i | −0.0774845 | − | 0.127158i | ||||
\(331\) | −5.24463 | + | 19.5732i | −0.288271 | + | 1.07584i | 0.658145 | + | 0.752891i | \(0.271341\pi\) |
−0.946416 | + | 0.322950i | \(0.895325\pi\) | |||||||
\(332\) | 9.17998 | − | 2.45977i | 0.503817 | − | 0.134997i | ||||
\(333\) | −2.28002 | + | 10.4682i | −0.124945 | + | 0.573655i | ||||
\(334\) | 12.2447 | − | 21.2084i | 0.670000 | − | 1.16047i | ||||
\(335\) | 9.08037 | 0.496114 | ||||||||
\(336\) | −4.13704 | − | 6.78919i | −0.225694 | − | 0.370381i | ||||
\(337\) | −6.82932 | + | 3.94291i | −0.372017 | + | 0.214784i | −0.674339 | − | 0.738422i | \(-0.735571\pi\) |
0.302322 | + | 0.953206i | \(0.402238\pi\) | |||||||
\(338\) | 9.31390 | − | 9.06925i | 0.506609 | − | 0.493302i | ||||
\(339\) | −0.565302 | + | 0.592720i | −0.0307030 | + | 0.0321922i | ||||
\(340\) | 2.27888 | + | 2.27888i | 0.123590 | + | 0.123590i | ||||
\(341\) | 13.1502 | − | 7.59229i | 0.712125 | − | 0.411146i | ||||
\(342\) | −7.75735 | − | 4.00170i | −0.419469 | − | 0.216387i | ||||
\(343\) | −22.9453 | − | 22.9453i | −1.23893 | − | 1.23893i | ||||
\(344\) | −5.12575 | − | 1.37344i | −0.276362 | − | 0.0740510i | ||||
\(345\) | 5.70241 | − | 0.135014i | 0.307008 | − | 0.00726890i | ||||
\(346\) | −10.2330 | − | 2.74192i | −0.550129 | − | 0.147407i | ||||
\(347\) | 16.9956i | 0.912370i | 0.889885 | + | 0.456185i | \(0.150784\pi\) | ||||
−0.889885 | + | 0.456185i | \(0.849216\pi\) | |||||||
\(348\) | 6.11938 | + | 5.83631i | 0.328033 | + | 0.312859i | ||||
\(349\) | −10.2799 | + | 10.2799i | −0.550269 | + | 0.550269i | −0.926518 | − | 0.376250i | \(-0.877214\pi\) |
0.376250 | + | 0.926518i | \(0.377214\pi\) | |||||||
\(350\) | 20.7397 | 1.10858 | ||||||||
\(351\) | 12.3681 | − | 14.0723i | 0.660163 | − | 0.751123i | ||||
\(352\) | 2.25023 | 0.119938 | ||||||||
\(353\) | −6.02030 | + | 6.02030i | −0.320428 | + | 0.320428i | −0.848931 | − | 0.528503i | \(-0.822754\pi\) |
0.528503 | + | 0.848931i | \(0.322754\pi\) | |||||||
\(354\) | −6.73061 | − | 6.41926i | −0.357728 | − | 0.341180i | ||||
\(355\) | 11.1812i | 0.593438i | ||||||||
\(356\) | 2.41913 | + | 0.648204i | 0.128214 | + | 0.0343548i | ||||
\(357\) | 36.9080 | − | 0.873857i | 1.95338 | − | 0.0462494i | ||||
\(358\) | −12.0275 | − | 3.22277i | −0.635674 | − | 0.170328i | ||||
\(359\) | 2.80645 | + | 2.80645i | 0.148119 | + | 0.148119i | 0.777277 | − | 0.629158i | \(-0.216600\pi\) |
−0.629158 | + | 0.777277i | \(0.716600\pi\) | |||||||
\(360\) | −1.75186 | + | 1.12522i | −0.0923314 | + | 0.0593044i | ||||
\(361\) | −9.12309 | + | 5.26722i | −0.480163 | + | 0.277222i | ||||
\(362\) | 13.0436 | + | 13.0436i | 0.685558 | + | 0.685558i | ||||
\(363\) | −7.09652 | + | 7.44071i | −0.372471 | + | 0.390536i | ||||
\(364\) | −4.38972 | + | 15.9572i | −0.230084 | + | 0.836385i | ||||
\(365\) | 4.71852 | − | 2.72424i | 0.246979 | − | 0.142593i | ||||
\(366\) | 2.81301 | + | 4.61636i | 0.147038 | + | 0.241301i | ||||
\(367\) | −24.3581 | −1.27148 | −0.635742 | − | 0.771901i | \(-0.719306\pi\) | ||||
−0.635742 | + | 0.771901i | \(0.719306\pi\) | |||||||
\(368\) | −2.37251 | + | 4.10931i | −0.123676 | + | 0.214213i | ||||
\(369\) | 16.4085 | − | 5.24061i | 0.854193 | − | 0.272815i | ||||
\(370\) | −2.39409 | + | 0.641495i | −0.124463 | + | 0.0333497i | ||||
\(371\) | 6.01820 | − | 22.4602i | 0.312449 | − | 1.16608i | ||||
\(372\) | −6.08190 | − | 9.98086i | −0.315332 | − | 0.517483i | ||||
\(373\) | −9.25807 | −0.479365 | −0.239682 | − | 0.970851i | \(-0.577043\pi\) | ||||
−0.239682 | + | 0.970851i | \(0.577043\pi\) | |||||||
\(374\) | −5.22460 | + | 9.04927i | −0.270158 | + | 0.467927i | ||||
\(375\) | −0.270832 | − | 11.4388i | −0.0139857 | − | 0.590697i | ||||
\(376\) | −10.4541 | − | 6.03569i | −0.539130 | − | 0.311267i | ||||
\(377\) | 0.117126 | − | 17.6029i | 0.00603231 | − | 0.906593i | ||||
\(378\) | −4.52282 | + | 23.4183i | −0.232629 | + | 1.20451i | ||||
\(379\) | −3.58050 | + | 13.3626i | −0.183918 | + | 0.686391i | 0.810942 | + | 0.585127i | \(0.198955\pi\) |
−0.994860 | + | 0.101264i | \(0.967711\pi\) | |||||||
\(380\) | − | 2.01934i | − | 0.103590i | ||||||
\(381\) | 0.732909 | + | 0.177901i | 0.0375481 | + | 0.00911414i | ||||
\(382\) | 2.20401 | − | 8.22549i | 0.112767 | − | 0.420853i | ||||
\(383\) | 12.5916 | − | 12.5916i | 0.643398 | − | 0.643398i | −0.307991 | − | 0.951389i | \(-0.599657\pi\) |
0.951389 | + | 0.307991i | \(0.0996567\pi\) | |||||||
\(384\) | −0.0409976 | − | 1.73157i | −0.00209215 | − | 0.0883636i | ||||
\(385\) | −1.85537 | − | 6.92433i | −0.0945584 | − | 0.352897i | ||||
\(386\) | −16.3939 | − | 9.46505i | −0.834430 | − | 0.481758i | ||||
\(387\) | 8.60342 | + | 13.3947i | 0.437336 | + | 0.680891i | ||||
\(388\) | 1.18591 | + | 0.317765i | 0.0602057 | + | 0.0161321i | ||||
\(389\) | 7.46970 | − | 12.9379i | 0.378729 | − | 0.655978i | −0.612149 | − | 0.790743i | \(-0.709695\pi\) |
0.990878 | + | 0.134765i | \(0.0430279\pi\) | |||||||
\(390\) | 4.20504 | + | 1.05038i | 0.212931 | + | 0.0531879i | ||||
\(391\) | −11.0170 | − | 19.0821i | −0.557155 | − | 0.965021i | ||||
\(392\) | −3.64143 | − | 13.5900i | −0.183920 | − | 0.686398i | ||||
\(393\) | 17.5372 | + | 4.25684i | 0.884633 | + | 0.214729i | ||||
\(394\) | −15.1031 | + | 8.71978i | −0.760884 | + | 0.439296i | ||||
\(395\) | 1.52527 | − | 1.52527i | 0.0767447 | − | 0.0767447i | ||||
\(396\) | −4.99402 | − | 4.54220i | −0.250959 | − | 0.228254i | ||||
\(397\) | 0.691339 | + | 2.58011i | 0.0346973 | + | 0.129492i | 0.981102 | − | 0.193491i | \(-0.0619810\pi\) |
−0.946405 | + | 0.322983i | \(0.895314\pi\) | |||||||
\(398\) | 22.3261 | − | 5.98226i | 1.11911 | − | 0.299864i | ||||
\(399\) | −16.7394 | − | 15.9651i | −0.838019 | − | 0.799254i | ||||
\(400\) | 3.91298 | + | 2.25916i | 0.195649 | + | 0.112958i | ||||
\(401\) | −0.0650204 | + | 0.0174222i | −0.00324697 | + | 0.000870022i | −0.260442 | − | 0.965489i | \(-0.583868\pi\) |
0.257195 | + | 0.966359i | \(0.417202\pi\) | |||||||
\(402\) | 21.7441 | − | 6.38162i | 1.08450 | − | 0.318287i | ||||
\(403\) | −6.45338 | + | 23.4588i | −0.321466 | + | 1.16857i | ||||
\(404\) | 3.76440i | 0.187286i | ||||||||
\(405\) | 6.15930 | + | 1.03897i | 0.306058 | + | 0.0516270i | ||||
\(406\) | 11.2051 | + | 19.4079i | 0.556101 | + | 0.963196i | ||||
\(407\) | −4.01803 | − | 6.95943i | −0.199166 | − | 0.344966i | ||||
\(408\) | 7.05866 | + | 3.85549i | 0.349456 | + | 0.190875i | ||||
\(409\) | −14.4433 | − | 14.4433i | −0.714173 | − | 0.714173i | 0.253233 | − | 0.967405i | \(-0.418506\pi\) |
−0.967405 | + | 0.253233i | \(0.918506\pi\) | |||||||
\(410\) | 2.81777 | + | 2.81777i | 0.139160 | + | 0.139160i | ||||
\(411\) | −11.3119 | + | 6.89300i | −0.557976 | + | 0.340006i | ||||
\(412\) | −7.59604 | − | 13.1567i | −0.374230 | − | 0.648186i | ||||
\(413\) | −12.3243 | − | 21.3464i | −0.606441 | − | 1.05039i | ||||
\(414\) | 13.5603 | − | 4.33093i | 0.666450 | − | 0.212853i | ||||
\(415\) | − | 6.59597i | − | 0.323784i | ||||||
\(416\) | −2.56642 | + | 2.53249i | −0.125829 | + | 0.124166i | ||||
\(417\) | −14.0045 | − | 13.3566i | −0.685801 | − | 0.654077i | ||||
\(418\) | 6.32410 | − | 1.69454i | 0.309322 | − | 0.0828825i | ||||
\(419\) | −19.8836 | − | 11.4798i | −0.971378 | − | 0.560826i | −0.0717221 | − | 0.997425i | \(-0.522849\pi\) |
−0.899656 | + | 0.436599i | \(0.856183\pi\) | |||||||
\(420\) | −5.29451 | + | 1.55387i | −0.258346 | + | 0.0758213i | ||||
\(421\) | 10.9066 | − | 2.92242i | 0.531556 | − | 0.142430i | 0.0169495 | − | 0.999856i | \(-0.494605\pi\) |
0.514607 | + | 0.857426i | \(0.327938\pi\) | |||||||
\(422\) | −2.68874 | − | 10.0345i | −0.130886 | − | 0.488472i | ||||
\(423\) | 11.0179 | + | 34.4974i | 0.535709 | + | 1.67732i | ||||
\(424\) | 3.58203 | − | 3.58203i | 0.173959 | − | 0.173959i | ||||
\(425\) | −18.1703 | + | 10.4907i | −0.881391 | + | 0.508871i | ||||
\(426\) | 7.85809 | + | 26.7748i | 0.380726 | + | 1.29725i | ||||
\(427\) | 3.70792 | + | 13.8381i | 0.179439 | + | 0.669674i | ||||
\(428\) | 2.73351 | + | 4.73458i | 0.132129 | + | 0.228855i | ||||
\(429\) | 0.239144 | + | 14.0507i | 0.0115460 | + | 0.678372i | ||||
\(430\) | −1.84147 | + | 3.18952i | −0.0888036 | + | 0.153812i | ||||
\(431\) | 8.79469 | + | 2.35653i | 0.423625 | + | 0.113510i | 0.464332 | − | 0.885661i | \(-0.346294\pi\) |
−0.0407069 | + | 0.999171i | \(0.512961\pi\) | |||||||
\(432\) | −3.40426 | + | 3.92569i | −0.163788 | + | 0.188875i | ||||
\(433\) | 19.6096 | + | 11.3216i | 0.942379 | + | 0.544083i | 0.890705 | − | 0.454581i | \(-0.150211\pi\) |
0.0516737 | + | 0.998664i | \(0.483544\pi\) | |||||||
\(434\) | −8.01675 | − | 29.9189i | −0.384816 | − | 1.43615i | ||||
\(435\) | 5.01180 | − | 3.05398i | 0.240298 | − | 0.146427i | ||||
\(436\) | 5.10130 | − | 5.10130i | 0.244308 | − | 0.244308i | ||||
\(437\) | −3.57325 | + | 13.3355i | −0.170931 | + | 0.637925i | ||||
\(438\) | 9.38451 | − | 9.83967i | 0.448409 | − | 0.470158i | ||||
\(439\) | 21.3894i | 1.02086i | 0.859920 | + | 0.510430i | \(0.170514\pi\) | ||||
−0.859920 | + | 0.510430i | \(0.829486\pi\) | |||||||
\(440\) | 0.404207 | − | 1.50852i | 0.0192698 | − | 0.0719160i | ||||
\(441\) | −19.3505 | + | 37.5112i | −0.921452 | + | 1.78625i | ||||
\(442\) | −4.22565 | − | 16.2008i | −0.200994 | − | 0.770592i | ||||
\(443\) | 27.1059 | + | 15.6496i | 1.28784 | + | 0.743535i | 0.978269 | − | 0.207341i | \(-0.0664811\pi\) |
0.309571 | + | 0.950876i | \(0.399814\pi\) | |||||||
\(444\) | −5.28212 | + | 3.21869i | −0.250678 | + | 0.152752i | ||||
\(445\) | 0.869094 | − | 1.50532i | 0.0411990 | − | 0.0713588i | ||||
\(446\) | 15.8661 | 0.751283 | ||||||||
\(447\) | 12.8122 | − | 0.303350i | 0.605997 | − | 0.0143480i | ||||
\(448\) | 1.18802 | − | 4.43374i | 0.0561285 | − | 0.209474i | ||||
\(449\) | 12.7731 | − | 3.42254i | 0.602800 | − | 0.161520i | 0.0555034 | − | 0.998458i | \(-0.482324\pi\) |
0.547297 | + | 0.836939i | \(0.315657\pi\) | |||||||
\(450\) | −4.12400 | − | 12.9124i | −0.194407 | − | 0.608695i | ||||
\(451\) | −6.46007 | + | 11.1892i | −0.304193 | + | 0.526877i | ||||
\(452\) | −0.472893 | −0.0222430 | ||||||||
\(453\) | −11.8977 | + | 21.7823i | −0.559000 | + | 1.02342i | ||||
\(454\) | 5.52042 | − | 3.18721i | 0.259086 | − | 0.149583i | ||||
\(455\) | 9.90896 | + | 5.80919i | 0.464539 | + | 0.272339i | ||||
\(456\) | −1.41918 | − | 4.83556i | −0.0664590 | − | 0.226446i | ||||
\(457\) | 8.28185 | + | 8.28185i | 0.387409 | + | 0.387409i | 0.873762 | − | 0.486354i | \(-0.161673\pi\) |
−0.486354 | + | 0.873762i | \(0.661673\pi\) | |||||||
\(458\) | 11.0794 | − | 6.39671i | 0.517707 | − | 0.298898i | ||||
\(459\) | −7.88306 | − | 22.8049i | −0.367950 | − | 1.06444i | ||||
\(460\) | 2.32865 | + | 2.32865i | 0.108574 | + | 0.108574i | ||||
\(461\) | 7.07647 | + | 1.89613i | 0.329584 | + | 0.0883118i | 0.419817 | − | 0.907609i | \(-0.362094\pi\) |
−0.0902326 | + | 0.995921i | \(0.528761\pi\) | |||||||
\(462\) | −9.30929 | − | 15.2772i | −0.433107 | − | 0.710762i | ||||
\(463\) | −14.1615 | − | 3.79457i | −0.658142 | − | 0.176349i | −0.0857346 | − | 0.996318i | \(-0.527324\pi\) |
−0.572407 | + | 0.819969i | \(0.693990\pi\) | |||||||
\(464\) | 4.88226i | 0.226653i | ||||||||
\(465\) | −7.78351 | + | 2.28437i | −0.360952 | + | 0.105935i | ||||
\(466\) | 12.9149 | − | 12.9149i | 0.598271 | − | 0.598271i | ||||
\(467\) | −18.0118 | −0.833488 | −0.416744 | − | 0.909024i | \(-0.636829\pi\) | ||||
−0.416744 | + | 0.909024i | \(0.636829\pi\) | |||||||
\(468\) | 10.8077 | − | 0.440015i | 0.499586 | − | 0.0203397i | ||||
\(469\) | 60.0549 | 2.77308 | ||||||||
\(470\) | −5.92411 | + | 5.92411i | −0.273259 | + | 0.273259i | ||||
\(471\) | −2.33782 | + | 9.63125i | −0.107721 | + | 0.443785i | ||||
\(472\) | − | 5.36992i | − | 0.247170i | ||||||
\(473\) | −11.5341 | − | 3.09056i | −0.530339 | − | 0.142104i | ||||
\(474\) | 2.58050 | − | 4.72440i | 0.118526 | − | 0.216999i | ||||
\(475\) | 12.6984 | + | 3.40252i | 0.582641 | + | 0.156118i | ||||
\(476\) | 15.0719 | + | 15.0719i | 0.690818 | + | 0.690818i | ||||
\(477\) | −15.1802 | + | 0.719237i | −0.695056 | + | 0.0329316i | ||||
\(478\) | 17.3211 | − | 10.0003i | 0.792249 | − | 0.457405i | ||||
\(479\) | −5.08536 | − | 5.08536i | −0.232356 | − | 0.232356i | 0.581319 | − | 0.813675i | \(-0.302537\pi\) |
−0.813675 | + | 0.581319i | \(0.802537\pi\) | |||||||
\(480\) | −1.16818 | − | 0.283556i | −0.0533199 | − | 0.0129425i | ||||
\(481\) | 12.4150 | + | 3.41529i | 0.566075 | + | 0.155724i | ||||
\(482\) | −13.0385 | + | 7.52778i | −0.593887 | + | 0.342881i | ||||
\(483\) | 37.7141 | − | 0.892942i | 1.71605 | − | 0.0406303i | ||||
\(484\) | −5.93646 | −0.269839 | ||||||||
\(485\) | 0.426050 | − | 0.737940i | 0.0193459 | − | 0.0335082i | ||||
\(486\) | 15.4794 | − | 1.84076i | 0.702160 | − | 0.0834985i | ||||
\(487\) | 0.324094 | − | 0.0868407i | 0.0146861 | − | 0.00393513i | −0.251469 | − | 0.967865i | \(-0.580913\pi\) |
0.266155 | + | 0.963930i | \(0.414247\pi\) | |||||||
\(488\) | −0.807800 | + | 3.01475i | −0.0365674 | + | 0.136471i | ||||
\(489\) | −4.63935 | + | 8.49376i | −0.209799 | + | 0.384101i | ||||
\(490\) | −9.76464 | −0.441122 | ||||||||
\(491\) | −1.96382 | + | 3.40144i | −0.0886260 | + | 0.153505i | −0.906931 | − | 0.421280i | \(-0.861581\pi\) |
0.818305 | + | 0.574785i | \(0.194914\pi\) | |||||||
\(492\) | 8.72782 | + | 4.76720i | 0.393481 | + | 0.214922i | ||||
\(493\) | −19.6339 | − | 11.3357i | −0.884269 | − | 0.510533i | ||||
\(494\) | −5.30562 | + | 9.05001i | −0.238711 | + | 0.407179i | ||||
\(495\) | −3.94210 | + | 2.53201i | −0.177184 | + | 0.113805i | ||||
\(496\) | 1.74651 | − | 6.51808i | 0.0784208 | − | 0.292670i | ||||
\(497\) | 73.9493i | 3.31708i | ||||||||
\(498\) | −4.63561 | − | 15.7949i | −0.207726 | − | 0.707786i | ||||
\(499\) | −5.25372 | + | 19.6072i | −0.235189 | + | 0.877737i | 0.742875 | + | 0.669431i | \(0.233462\pi\) |
−0.978064 | + | 0.208307i | \(0.933205\pi\) | |||||||
\(500\) | 4.67118 | − | 4.67118i | 0.208901 | − | 0.208901i | ||||
\(501\) | −37.2258 | − | 20.3330i | −1.66313 | − | 0.908411i | ||||
\(502\) | 6.80338 | + | 25.3906i | 0.303650 | + | 1.13324i | ||||
\(503\) | 24.7833 | + | 14.3086i | 1.10503 | + | 0.637991i | 0.937538 | − | 0.347882i | \(-0.113099\pi\) |
0.167494 | + | 0.985873i | \(0.446432\pi\) | |||||||
\(504\) | −11.5863 | + | 7.44189i | −0.516096 | + | 0.331488i | ||||
\(505\) | 2.52360 | + | 0.676198i | 0.112299 | + | 0.0300904i | ||||
\(506\) | −5.33870 | + | 9.24691i | −0.237334 | + | 0.411075i | ||||
\(507\) | −16.0858 | − | 15.7558i | −0.714398 | − | 0.699740i | ||||
\(508\) | 0.217716 | + | 0.377096i | 0.00965960 | + | 0.0167309i | ||||
\(509\) | −4.15448 | − | 15.5047i | −0.184144 | − | 0.687235i | −0.994812 | − | 0.101729i | \(-0.967562\pi\) |
0.810668 | − | 0.585506i | \(-0.199104\pi\) | |||||||
\(510\) | 3.85261 | − | 4.03946i | 0.170596 | − | 0.178870i | ||||
\(511\) | 31.2069 | − | 18.0173i | 1.38051 | − | 0.797039i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −6.61117 | + | 13.5964i | −0.291890 | + | 0.600296i | ||||
\(514\) | −3.53697 | − | 13.2002i | −0.156009 | − | 0.582235i | ||||
\(515\) | −10.1846 | + | 2.72894i | −0.448785 | + | 0.120252i | ||||
\(516\) | −2.16806 | + | 8.93188i | −0.0954435 | + | 0.393204i | ||||
\(517\) | −23.5242 | − | 13.5817i | −1.03459 | − | 0.597323i | ||||
\(518\) | −15.8338 | + | 4.24266i | −0.695698 | + | 0.186412i | ||||
\(519\) | −4.32829 | + | 17.8315i | −0.189991 | + | 0.782716i | ||||
\(520\) | 1.23674 | + | 2.17540i | 0.0542347 | + | 0.0953976i | ||||
\(521\) | − | 19.3205i | − | 0.846448i | −0.906025 | − | 0.423224i | \(-0.860898\pi\) | ||
0.906025 | − | 0.423224i | \(-0.139102\pi\) | |||||||
\(522\) | 9.85508 | − | 10.8354i | 0.431345 | − | 0.474252i | ||||
\(523\) | 4.17667 | + | 7.23421i | 0.182633 | + | 0.316330i | 0.942776 | − | 0.333426i | \(-0.108205\pi\) |
−0.760143 | + | 0.649755i | \(0.774871\pi\) | |||||||
\(524\) | 5.20955 | + | 9.02321i | 0.227580 | + | 0.394181i | ||||
\(525\) | −0.850278 | − | 35.9122i | −0.0371092 | − | 1.56734i | ||||
\(526\) | −3.39129 | − | 3.39129i | −0.147867 | − | 0.147867i | ||||
\(527\) | 22.1573 | + | 22.1573i | 0.965187 | + | 0.965187i | ||||
\(528\) | −0.0922541 | − | 3.89642i | −0.00401484 | − | 0.169570i | ||||
\(529\) | 0.242357 | + | 0.419774i | 0.0105372 | + | 0.0182510i | ||||
\(530\) | −1.75791 | − | 3.04478i | −0.0763585 | − | 0.132257i | ||||
\(531\) | −10.8394 | + | 11.9177i | −0.470392 | + | 0.517183i | ||||
\(532\) | − | 13.3553i | − | 0.579026i | ||||||
\(533\) | −5.22489 | − | 20.0318i | −0.226315 | − | 0.867672i | ||||
\(534\) | 1.02323 | − | 4.21546i | 0.0442795 | − | 0.182421i | ||||
\(535\) | 3.66502 | − | 0.982038i | 0.158452 | − | 0.0424572i | ||||
\(536\) | 11.3306 | + | 6.54173i | 0.489408 | + | 0.282560i | ||||
\(537\) | −5.08733 | + | 20.9586i | −0.219535 | + | 0.904429i | ||||
\(538\) | 24.0358 | − | 6.44036i | 1.03625 | − | 0.277664i | ||||
\(539\) | −8.19405 | − | 30.5806i | −0.352943 | − | 1.31720i | ||||
\(540\) | 2.02022 | + | 2.98734i | 0.0869364 | + | 0.128555i | ||||
\(541\) | 18.5480 | − | 18.5480i | 0.797443 | − | 0.797443i | −0.185249 | − | 0.982692i | \(-0.559309\pi\) |
0.982692 | + | 0.185249i | \(0.0593092\pi\) | |||||||
\(542\) | −0.687482 | + | 0.396918i | −0.0295299 | + | 0.0170491i | ||||
\(543\) | 22.0511 | − | 23.1207i | 0.946305 | − | 0.992202i | ||||
\(544\) | 1.20186 | + | 4.48539i | 0.0515291 | + | 0.192309i | ||||
\(545\) | −2.50350 | − | 4.33618i | −0.107238 | − | 0.185742i | ||||
\(546\) | 27.8109 | + | 6.94689i | 1.19020 | + | 0.297299i | ||||
\(547\) | −11.1826 | + | 19.3688i | −0.478133 | + | 0.828151i | −0.999686 | − | 0.0250681i | \(-0.992020\pi\) |
0.521552 | + | 0.853219i | \(0.325353\pi\) | |||||||
\(548\) | −7.38734 | − | 1.97943i | −0.315572 | − | 0.0845572i | ||||
\(549\) | 7.87820 | − | 5.06017i | 0.336234 | − | 0.215963i | ||||
\(550\) | 8.80510 | + | 5.08363i | 0.375451 | + | 0.216767i | ||||
\(551\) | 3.67659 | + | 13.7212i | 0.156628 | + | 0.584544i | ||||
\(552\) | 7.21281 | + | 3.93969i | 0.306998 | + | 0.167684i | ||||
\(553\) | 10.0877 | − | 10.0877i | 0.428972 | − | 0.428972i | ||||
\(554\) | 8.52814 | − | 31.8275i | 0.362326 | − | 1.35222i | ||||
\(555\) | 1.20894 | + | 4.11923i | 0.0513168 | + | 0.174851i | ||||
\(556\) | − | 11.1732i | − | 0.473851i | ||||||
\(557\) | −3.13004 | + | 11.6815i | −0.132624 | + | 0.494959i | −0.999996 | − | 0.00270033i | \(-0.999140\pi\) |
0.867372 | + | 0.497660i | \(0.165807\pi\) | |||||||
\(558\) | −17.0332 | + | 10.9404i | −0.721071 | + | 0.463144i | ||||
\(559\) | 16.6330 | − | 9.45609i | 0.703503 | − | 0.399950i | ||||
\(560\) | −2.75891 | − | 1.59286i | −0.116585 | − | 0.0673105i | ||||
\(561\) | 15.8836 | + | 8.67574i | 0.670606 | + | 0.366290i | ||||
\(562\) | −9.09520 | + | 15.7533i | −0.383658 | + | 0.664515i | ||||
\(563\) | 35.1807 | 1.48269 | 0.741345 | − | 0.671124i | \(-0.234188\pi\) | ||||
0.741345 | + | 0.671124i | \(0.234188\pi\) | |||||||
\(564\) | −10.0226 | + | 18.3495i | −0.422028 | + | 0.772651i | ||||
\(565\) | −0.0849455 | + | 0.317021i | −0.00357368 | + | 0.0133372i | ||||
\(566\) | −23.5710 | + | 6.31582i | −0.990761 | + | 0.265474i | ||||
\(567\) | 40.7358 | + | 6.87147i | 1.71074 | + | 0.288574i | ||||
\(568\) | −8.05524 | + | 13.9521i | −0.337990 | + | 0.585416i | ||||
\(569\) | −11.2623 | −0.472141 | −0.236071 | − | 0.971736i | \(-0.575860\pi\) | ||||
−0.236071 | + | 0.971736i | \(0.575860\pi\) | |||||||
\(570\) | −3.49662 | + | 0.0827880i | −0.146457 | + | 0.00346761i | ||||
\(571\) | 27.0909 | − | 15.6409i | 1.13372 | − | 0.654553i | 0.188852 | − | 0.982006i | \(-0.439523\pi\) |
0.944868 | + | 0.327452i | \(0.106190\pi\) | |||||||
\(572\) | −5.77503 | + | 5.69869i | −0.241466 | + | 0.238274i | ||||
\(573\) | −14.3333 | − | 3.47917i | −0.598783 | − | 0.145344i | ||||
\(574\) | 18.6359 | + | 18.6359i | 0.777848 | + | 0.777848i | ||||
\(575\) | −18.5672 | + | 10.7198i | −0.774305 | + | 0.447045i | ||||
\(576\) | −2.99664 | + | 0.141980i | −0.124860 | + | 0.00591584i | ||||
\(577\) | −26.9790 | − | 26.9790i | −1.12315 | − | 1.12315i | −0.991265 | − | 0.131887i | \(-0.957897\pi\) |
−0.131887 | − | 0.991265i | \(-0.542103\pi\) | |||||||
\(578\) | −4.40765 | − | 1.18103i | −0.183334 | − | 0.0491242i | ||||
\(579\) | −15.7172 | + | 28.7752i | −0.653186 | + | 1.19586i | ||||
\(580\) | 3.27300 | + | 0.876997i | 0.135904 | + | 0.0364153i | ||||
\(581\) | − | 43.6238i | − | 1.80982i | ||||||
\(582\) | 0.501611 | − | 2.06652i | 0.0207924 | − | 0.0856599i | ||||
\(583\) | 8.06040 | − | 8.06040i | 0.333828 | − | 0.333828i | ||||
\(584\) | 7.85044 | 0.324853 | ||||||||
\(585\) | 1.64640 | − | 7.32437i | 0.0680703 | − | 0.302825i | ||||
\(586\) | 3.63756 | 0.150266 | ||||||||
\(587\) | 1.61436 | − | 1.61436i | 0.0666316 | − | 0.0666316i | −0.673006 | − | 0.739637i | \(-0.734997\pi\) |
0.739637 | + | 0.673006i | \(0.234997\pi\) | |||||||
\(588\) | −23.3827 | + | 6.86253i | −0.964285 | + | 0.283006i | ||||
\(589\) | − | 19.6338i | − | 0.808995i | ||||||
\(590\) | −3.59992 | − | 0.964595i | −0.148206 | − | 0.0397117i | ||||
\(591\) | 15.7181 | + | 25.7945i | 0.646555 | + | 1.06105i | ||||
\(592\) | −3.44953 | − | 0.924299i | −0.141775 | − | 0.0379884i | ||||
\(593\) | −21.4122 | − | 21.4122i | −0.879295 | − | 0.879295i | 0.114166 | − | 0.993462i | \(-0.463580\pi\) |
−0.993462 | + | 0.114166i | \(0.963580\pi\) | |||||||
\(594\) | −7.66037 | + | 8.83370i | −0.314309 | + | 0.362451i | ||||
\(595\) | 12.8113 | − | 7.39662i | 0.525213 | − | 0.303232i | ||||
\(596\) | 5.23203 | + | 5.23203i | 0.214312 | + | 0.214312i | ||||
\(597\) | −11.2740 | − | 38.4138i | −0.461414 | − | 1.57217i | ||||
\(598\) | −4.31794 | − | 16.5546i | −0.176574 | − | 0.676967i | ||||
\(599\) | −27.0669 | + | 15.6271i | −1.10593 | + | 0.638506i | −0.937771 | − | 0.347255i | \(-0.887114\pi\) |
−0.168154 | + | 0.985761i | \(0.553781\pi\) | |||||||
\(600\) | 3.75146 | − | 6.86820i | 0.153153 | − | 0.280393i | ||||
\(601\) | −27.8755 | −1.13707 | −0.568533 | − | 0.822661i | \(-0.692489\pi\) | ||||
−0.568533 | + | 0.822661i | \(0.692489\pi\) | |||||||
\(602\) | −12.1789 | + | 21.0946i | −0.496377 | + | 0.859750i | ||||
\(603\) | −11.9417 | − | 37.3897i | −0.486302 | − | 1.52263i | ||||
\(604\) | −13.8415 | + | 3.70881i | −0.563201 | + | 0.150909i | ||||
\(605\) | −1.06636 | + | 3.97972i | −0.0433538 | + | 0.161799i | ||||
\(606\) | 6.51831 | − | 0.154332i | 0.264788 | − | 0.00626929i | ||||
\(607\) | −2.84557 | −0.115498 | −0.0577490 | − | 0.998331i | \(-0.518392\pi\) | ||||
−0.0577490 | + | 0.998331i | \(0.518392\pi\) | |||||||
\(608\) | 1.45478 | − | 2.51976i | 0.0589992 | − | 0.102190i | ||||
\(609\) | 33.1466 | − | 20.1981i | 1.34317 | − | 0.818468i | ||||
\(610\) | 1.87594 | + | 1.08308i | 0.0759547 | + | 0.0438525i | ||||
\(611\) | 42.1150 | − | 10.9849i | 1.70379 | − | 0.444400i | ||||
\(612\) | 6.38664 | − | 12.3806i | 0.258165 | − | 0.500456i | ||||
\(613\) | 0.202550 | − | 0.755928i | 0.00818093 | − | 0.0305316i | −0.961715 | − | 0.274053i | \(-0.911636\pi\) |
0.969896 | + | 0.243521i | \(0.0783024\pi\) | |||||||
\(614\) | − | 15.4139i | − | 0.622055i | ||||||
\(615\) | 4.76364 | − | 4.99468i | 0.192088 | − | 0.201405i | ||||
\(616\) | 2.67331 | − | 9.97693i | 0.107711 | − | 0.401982i | ||||
\(617\) | −19.5997 | + | 19.5997i | −0.789055 | + | 0.789055i | −0.981339 | − | 0.192284i | \(-0.938410\pi\) |
0.192284 | + | 0.981339i | \(0.438410\pi\) | |||||||
\(618\) | −22.4703 | + | 13.6924i | −0.903889 | + | 0.550791i | ||||
\(619\) | 1.73266 | + | 6.46639i | 0.0696417 | + | 0.259906i | 0.991965 | − | 0.126513i | \(-0.0403785\pi\) |
−0.922323 | + | 0.386419i | \(0.873712\pi\) | |||||||
\(620\) | −4.05590 | − | 2.34168i | −0.162889 | − | 0.0940440i | ||||
\(621\) | −8.05522 | − | 23.3029i | −0.323245 | − | 0.935114i | ||||
\(622\) | −10.3913 | − | 2.78435i | −0.416654 | − | 0.111642i | ||||
\(623\) | 5.74793 | − | 9.95571i | 0.230286 | − | 0.398867i | ||||
\(624\) | 4.49039 | + | 4.34009i | 0.179759 | + | 0.173743i | ||||
\(625\) | 9.00338 | + | 15.5943i | 0.360135 | + | 0.623772i | ||||
\(626\) | −3.28522 | − | 12.2606i | −0.131304 | − | 0.490032i | ||||
\(627\) | −3.19348 | − | 10.8811i | −0.127535 | − | 0.434550i | ||||
\(628\) | −4.95546 | + | 2.86104i | −0.197744 | + | 0.114168i | ||||
\(629\) | 11.7262 | − | 11.7262i | 0.467554 | − | 0.467554i | ||||
\(630\) | 2.90770 | + | 9.10409i | 0.115845 | + | 0.362715i | ||||
\(631\) | −1.16111 | − | 4.33331i | −0.0462230 | − | 0.172506i | 0.938956 | − | 0.344038i | \(-0.111795\pi\) |
−0.985179 | + | 0.171532i | \(0.945128\pi\) | |||||||
\(632\) | 3.00210 | − | 0.804409i | 0.119417 | − | 0.0319977i | ||||
\(633\) | −17.2652 | + | 5.06711i | −0.686229 | + | 0.201400i | ||||
\(634\) | −22.5536 | − | 13.0213i | −0.895717 | − | 0.517142i | ||||
\(635\) | 0.291908 | − | 0.0782165i | 0.0115840 | − | 0.00310393i | ||||
\(636\) | −6.34938 | − | 6.05567i | −0.251769 | − | 0.240123i | ||||
\(637\) | 43.7619 | + | 25.6557i | 1.73391 | + | 1.01652i | ||||
\(638\) | 10.9862i | 0.434948i | ||||||||
\(639\) | 46.0402 | − | 14.7045i | 1.82132 | − | 0.581701i | ||||
\(640\) | −0.347017 | − | 0.601052i | −0.0137171 | − | 0.0237586i | ||||
\(641\) | 21.4910 | + | 37.2236i | 0.848845 | + | 1.47024i | 0.882240 | + | 0.470801i | \(0.156035\pi\) |
−0.0333945 | + | 0.999442i | \(0.510632\pi\) | |||||||
\(642\) | 8.08617 | − | 4.92736i | 0.319136 | − | 0.194467i | ||||
\(643\) | 16.1469 | + | 16.1469i | 0.636771 | + | 0.636771i | 0.949758 | − | 0.312987i | \(-0.101329\pi\) |
−0.312987 | + | 0.949758i | \(0.601329\pi\) | |||||||
\(644\) | 15.4010 | + | 15.4010i | 0.606886 | + | 0.606886i | ||||
\(645\) | 5.59836 | + | 3.05786i | 0.220435 | + | 0.120403i | ||||
\(646\) | 6.75544 | + | 11.7008i | 0.265789 | + | 0.460361i | ||||
\(647\) | −18.2315 | − | 31.5780i | −0.716756 | − | 1.24146i | −0.962278 | − | 0.272067i | \(-0.912293\pi\) |
0.245523 | − | 0.969391i | \(-0.421040\pi\) | |||||||
\(648\) | 6.93715 | + | 5.73376i | 0.272517 | + | 0.225243i | ||||
\(649\) | − | 12.0836i | − | 0.474321i | ||||||
\(650\) | −15.7636 | + | 4.11163i | −0.618300 | + | 0.161271i | ||||
\(651\) | −51.4779 | + | 15.1081i | −2.01758 | + | 0.592134i | ||||
\(652\) | −5.39731 | + | 1.44621i | −0.211375 | + | 0.0566378i | ||||
\(653\) | −2.93974 | − | 1.69726i | −0.115041 | − | 0.0664190i | 0.441375 | − | 0.897323i | \(-0.354491\pi\) |
−0.556416 | + | 0.830904i | \(0.687824\pi\) | |||||||
\(654\) | −9.04238 | − | 8.62410i | −0.353585 | − | 0.337229i | ||||
\(655\) | 6.98482 | − | 1.87158i | 0.272919 | − | 0.0731285i | ||||
\(656\) | 1.48606 | + | 5.54605i | 0.0580209 | + | 0.216537i | ||||
\(657\) | −17.4228 | − | 15.8465i | −0.679727 | − | 0.618230i | ||||
\(658\) | −39.1803 | + | 39.1803i | −1.52741 | + | 1.52741i | ||||
\(659\) | −23.7208 | + | 13.6952i | −0.924032 | + | 0.533490i | −0.884919 | − | 0.465745i | \(-0.845786\pi\) |
−0.0391126 | + | 0.999235i | \(0.512453\pi\) | |||||||
\(660\) | −2.62868 | − | 0.638066i | −0.102321 | − | 0.0248367i | ||||
\(661\) | 11.8777 | + | 44.3282i | 0.461990 | + | 1.72417i | 0.666682 | + | 0.745342i | \(0.267714\pi\) |
−0.204692 | + | 0.978826i | \(0.565619\pi\) | |||||||
\(662\) | 10.1318 | + | 17.5489i | 0.393785 | + | 0.682056i | ||||
\(663\) | −27.8794 | + | 7.98118i | −1.08275 | + | 0.309963i | ||||
\(664\) | 4.75191 | − | 8.23054i | 0.184410 | − | 0.319407i | ||||
\(665\) | −8.95321 | − | 2.39900i | −0.347191 | − | 0.0930294i | ||||
\(666\) | 5.78993 | + | 9.01437i | 0.224355 | + | 0.349300i | ||||
\(667\) | −20.0627 | − | 11.5832i | −0.776833 | − | 0.448505i | ||||
\(668\) | −6.33832 | − | 23.6549i | −0.245237 | − | 0.915236i | ||||
\(669\) | −0.650474 | − | 27.4733i | −0.0251488 | − | 1.06218i | ||||
\(670\) | 6.42079 | − | 6.42079i | 0.248057 | − | 0.248057i | ||||
\(671\) | −1.81774 | + | 6.78389i | −0.0701730 | + | 0.261889i | ||||
\(672\) | −7.72601 | − | 1.87535i | −0.298037 | − | 0.0723434i | ||||
\(673\) | 20.6898i | 0.797535i | 0.917052 | + | 0.398767i | \(0.130562\pi\) | ||||
−0.917052 | + | 0.398767i | \(0.869438\pi\) | |||||||
\(674\) | −2.04100 | + | 7.61712i | −0.0786164 | + | 0.293401i | ||||
\(675\) | −22.1895 | + | 7.67035i | −0.854076 | + | 0.295232i | ||||
\(676\) | 0.172992 | − | 12.9988i | 0.00665353 | − | 0.499956i | ||||
\(677\) | 6.49755 | + | 3.75136i | 0.249721 | + | 0.144176i | 0.619636 | − | 0.784889i | \(-0.287280\pi\) |
−0.369916 | + | 0.929065i | \(0.620613\pi\) | |||||||
\(678\) | 0.0193875 | + | 0.818846i | 0.000744572 | + | 0.0314476i | ||||
\(679\) | 2.81777 | − | 4.88052i | 0.108136 | − | 0.187297i | ||||
\(680\) | 3.22283 | 0.123590 | ||||||||
\(681\) | −5.74519 | − | 9.42830i | −0.220156 | − | 0.361293i | ||||
\(682\) | 3.93006 | − | 14.6672i | 0.150490 | − | 0.561635i | ||||
\(683\) | −39.9739 | + | 10.7110i | −1.52956 | + | 0.409844i | −0.922875 | − | 0.385100i | \(-0.874167\pi\) |
−0.606683 | + | 0.794944i | \(0.707500\pi\) | |||||||
\(684\) | −8.31490 | + | 2.65564i | −0.317928 | + | 0.101541i | ||||
\(685\) | −2.65397 | + | 4.59681i | −0.101403 | + | 0.175635i | ||||
\(686\) | −32.4495 | −1.23893 | ||||||||
\(687\) | −11.5305 | − | 18.9225i | −0.439918 | − | 0.721938i | ||||
\(688\) | −4.59562 | + | 2.65328i | −0.175206 | + | 0.101155i | ||||
\(689\) | −0.121528 | + | 18.2644i | −0.00462986 | + | 0.695820i | ||||
\(690\) | 3.93675 | − | 4.12768i | 0.149869 | − | 0.157138i | ||||
\(691\) | 3.99681 | + | 3.99681i | 0.152046 | + | 0.152046i | 0.779031 | − | 0.626985i | \(-0.215711\pi\) |
−0.626985 | + | 0.779031i | \(0.715711\pi\) | |||||||
\(692\) | −9.17465 | + | 5.29699i | −0.348768 | + | 0.201361i | ||||
\(693\) | −26.0719 | + | 16.7460i | −0.990389 | + | 0.636127i | ||||
\(694\) | 12.0177 | + | 12.0177i | 0.456185 | + | 0.456185i | ||||
\(695\) | −7.49039 | − | 2.00704i | −0.284127 | − | 0.0761315i | ||||
\(696\) | 8.45396 | − | 0.200161i | 0.320446 | − | 0.00758708i | ||||
\(697\) | −25.7537 | − | 6.90068i | −0.975491 | − | 0.261382i | ||||
\(698\) | 14.5379i | 0.550269i | ||||||||
\(699\) | −22.8925 | − | 21.8335i | −0.865872 | − | 0.825819i | ||||
\(700\) | 14.6652 | − | 14.6652i | 0.554292 | − | 0.554292i | ||||
\(701\) | 40.7022 | 1.53730 | 0.768651 | − | 0.639669i | \(-0.220928\pi\) | ||||
0.768651 | + | 0.639669i | \(0.220928\pi\) | |||||||
\(702\) | −1.20500 | − | 18.6962i | −0.0454800 | − | 0.705643i | ||||
\(703\) | −10.3907 | −0.391892 | ||||||||
\(704\) | 1.59115 | − | 1.59115i | 0.0599688 | − | 0.0599688i | ||||
\(705\) | 10.5009 | + | 10.0151i | 0.395485 | + | 0.377191i | ||||
\(706\) | 8.51399i | 0.320428i | ||||||||
\(707\) | 16.6904 | + | 4.47217i | 0.627706 | + | 0.168193i | ||||
\(708\) | −9.29836 | + | 0.220154i | −0.349454 | + | 0.00827388i | ||||
\(709\) | 1.65798 | + | 0.444255i | 0.0622668 | + | 0.0166843i | 0.289818 | − | 0.957082i | \(-0.406405\pi\) |
−0.227551 | + | 0.973766i | \(0.573072\pi\) | |||||||
\(710\) | 7.90632 | + | 7.90632i | 0.296719 | + | 0.296719i | ||||
\(711\) | −8.28641 | − | 4.27462i | −0.310765 | − | 0.160311i | ||||
\(712\) | 2.16893 | − | 1.25223i | 0.0812843 | − | 0.0469295i | ||||
\(713\) | 22.6412 | + | 22.6412i | 0.847920 | + | 0.847920i | ||||
\(714\) | 25.4800 | − | 26.7158i | 0.953565 | − | 0.999815i | ||||
\(715\) | 2.78295 | + | 4.89515i | 0.104077 | + | 0.183068i | ||||
\(716\) | −10.7836 | + | 6.22591i | −0.403001 | + | 0.232673i | ||||
\(717\) | −18.0264 | − | 29.5826i | −0.673207 | − | 1.10478i | ||||
\(718\) | 3.96892 | 0.148119 | ||||||||
\(719\) | −10.3528 | + | 17.9315i | −0.386093 | + | 0.668732i | −0.991920 | − | 0.126864i | \(-0.959509\pi\) |
0.605827 | + | 0.795596i | \(0.292842\pi\) | |||||||
\(720\) | −0.443103 | + | 2.03441i | −0.0165135 | + | 0.0758179i | ||||
\(721\) | −67.3577 | + | 18.0484i | −2.50853 | + | 0.672159i | ||||
\(722\) | −2.72651 | + | 10.1755i | −0.101470 | + | 0.378692i | ||||
\(723\) | 13.5694 | + | 22.2684i | 0.504651 | + | 0.828171i | ||||
\(724\) | 18.4465 | 0.685558 | ||||||||
\(725\) | −11.0298 | + | 19.1042i | −0.409637 | + | 0.709511i | ||||
\(726\) | 0.243381 | + | 10.2794i | 0.00903270 | + | 0.381503i | ||||
\(727\) | 38.1761 | + | 22.0410i | 1.41587 | + | 0.817455i | 0.995933 | − | 0.0900971i | \(-0.0287178\pi\) |
0.419940 | + | 0.907552i | \(0.362051\pi\) | |||||||
\(728\) | 8.17945 | + | 14.3875i | 0.303150 | + | 0.533234i | ||||
\(729\) | −3.82201 | − | 26.7281i | −0.141556 | − | 0.989930i | ||||
\(730\) | 1.41017 | − | 5.26282i | 0.0521927 | − | 0.194786i | ||||
\(731\) | − | 24.6416i | − | 0.911404i | ||||||
\(732\) | 5.25336 | + | 1.27516i | 0.194170 | + | 0.0471313i | ||||
\(733\) | −5.25644 | + | 19.6173i | −0.194151 | + | 0.724582i | 0.798334 | + | 0.602215i | \(0.205715\pi\) |
−0.992485 | + | 0.122367i | \(0.960952\pi\) | |||||||
\(734\) | −17.2238 | + | 17.2238i | −0.635742 | + | 0.635742i | ||||
\(735\) | 0.400327 | + | 16.9081i | 0.0147663 | + | 0.623665i | ||||
\(736\) | 1.22810 | + | 4.58334i | 0.0452685 | + | 0.168944i | ||||
\(737\) | 25.4965 | + | 14.7204i | 0.939175 | + | 0.542233i | ||||
\(738\) | 7.89690 | − | 15.3082i | 0.290689 | − | 0.563504i | ||||
\(739\) | 37.8060 | + | 10.1301i | 1.39072 | + | 0.372642i | 0.875002 | − | 0.484118i | \(-0.160860\pi\) |
0.515715 | + | 0.856760i | \(0.327526\pi\) | |||||||
\(740\) | −1.23927 | + | 2.14648i | −0.0455566 | + | 0.0789063i | ||||
\(741\) | 15.8882 | + | 8.81601i | 0.583668 | + | 0.323864i | ||||
\(742\) | −11.6263 | − | 20.1373i | −0.426814 | − | 0.739263i | ||||
\(743\) | −13.6576 | − | 50.9709i | −0.501049 | − | 1.86994i | −0.493101 | − | 0.869972i | \(-0.664137\pi\) |
−0.00794786 | − | 0.999968i | \(-0.502530\pi\) | |||||||
\(744\) | −11.3581 | − | 2.75698i | −0.416408 | − | 0.101076i | ||||
\(745\) | 4.44731 | − | 2.56765i | 0.162937 | − | 0.0940716i | ||||
\(746\) | −6.54644 | + | 6.54644i | −0.239682 | + | 0.239682i | ||||
\(747\) | −27.1598 | + | 8.67441i | −0.993726 | + | 0.317380i | ||||
\(748\) | 2.70445 | + | 10.0932i | 0.0988845 | + | 0.369042i | ||||
\(749\) | 24.2393 | − | 6.49491i | 0.885686 | − | 0.237319i | ||||
\(750\) | −8.27995 | − | 7.89694i | −0.302341 | − | 0.288355i | ||||
\(751\) | −24.5558 | − | 14.1773i | −0.896053 | − | 0.517336i | −0.0201351 | − | 0.999797i | \(-0.506410\pi\) |
−0.875917 | + | 0.482461i | \(0.839743\pi\) | |||||||
\(752\) | −11.6601 | + | 3.12430i | −0.425199 | + | 0.113932i | ||||
\(753\) | 43.6865 | − | 12.8214i | 1.59202 | − | 0.467239i | ||||
\(754\) | −12.3643 | − | 12.5299i | −0.450280 | − | 0.456313i | ||||
\(755\) | 9.94532i | 0.361947i | ||||||||
\(756\) | 13.3611 | + | 19.7574i | 0.485940 | + | 0.718569i | ||||
\(757\) | 24.6271 | + | 42.6555i | 0.895089 | + | 1.55034i | 0.833694 | + | 0.552226i | \(0.186221\pi\) |
0.0613944 | + | 0.998114i | \(0.480445\pi\) | |||||||
\(758\) | 6.91700 | + | 11.9806i | 0.251237 | + | 0.435155i | ||||
\(759\) | 16.2305 | + | 8.86521i | 0.589130 | + | 0.321787i | ||||
\(760\) | −1.42789 | − | 1.42789i | −0.0517949 | − | 0.0517949i | ||||
\(761\) | −18.9582 | − | 18.9582i | −0.687235 | − | 0.687235i | 0.274385 | − | 0.961620i | \(-0.411526\pi\) |
−0.961620 | + | 0.274385i | \(0.911526\pi\) | |||||||
\(762\) | 0.644040 | − | 0.392450i | 0.0233311 | − | 0.0142170i | ||||
\(763\) | −16.5574 | − | 28.6783i | −0.599418 | − | 1.03822i | ||||
\(764\) | −4.25783 | − | 7.37477i | −0.154043 | − | 0.266810i | ||||
\(765\) | −7.15254 | − | 6.50543i | −0.258601 | − | 0.235204i | ||||
\(766\) | − | 17.8071i | − | 0.643398i | ||||||
\(767\) | 13.5993 | + | 13.7814i | 0.491041 | + | 0.497619i | ||||
\(768\) | −1.25339 | − | 1.19541i | −0.0452279 | − | 0.0431357i | ||||
\(769\) | 41.4115 | − | 11.0962i | 1.49334 | − | 0.400138i | 0.582474 | − | 0.812849i | \(-0.302085\pi\) |
0.910862 | + | 0.412711i | \(0.135418\pi\) | |||||||
\(770\) | −6.20819 | − | 3.58430i | −0.223728 | − | 0.129169i | ||||
\(771\) | −22.7120 | + | 6.66568i | −0.817951 | + | 0.240059i | ||||
\(772\) | −18.2851 | + | 4.89947i | −0.658094 | + | 0.176336i | ||||
\(773\) | 1.46006 | + | 5.44904i | 0.0525149 | + | 0.195988i | 0.987200 | − | 0.159490i | \(-0.0509848\pi\) |
−0.934685 | + | 0.355478i | \(0.884318\pi\) | |||||||
\(774\) | 15.5550 | + | 3.38795i | 0.559114 | + | 0.121777i | ||||
\(775\) | 21.5594 | − | 21.5594i | 0.774438 | − | 0.774438i | ||||
\(776\) | 1.06326 | − | 0.613875i | 0.0381689 | − | 0.0220368i | ||||
\(777\) | 7.99559 | + | 27.2434i | 0.286840 | + | 0.977350i | ||||
\(778\) | −3.86660 | − | 14.4304i | −0.138624 | − | 0.517353i | ||||
\(779\) | 8.35291 | + | 14.4677i | 0.299274 | + | 0.518358i | ||||
\(780\) | 3.71614 | − | 2.23069i | 0.133059 | − | 0.0798713i | ||||
\(781\) | −18.1261 | + | 31.3954i | −0.648604 | + | 1.12342i | ||||
\(782\) | −21.2833 | − | 5.70284i | −0.761088 | − | 0.203933i | ||||
\(783\) | −19.1662 | − | 16.6205i | −0.684945 | − | 0.593968i | ||||
\(784\) | −12.1845 | − | 7.03470i | −0.435159 | − | 0.251239i | ||||
\(785\) | 1.02785 | + | 3.83600i | 0.0366856 | + | 0.136913i | ||||
\(786\) | 15.4107 | − | 9.39061i | 0.549681 | − | 0.334952i | ||||
\(787\) | 31.3617 | − | 31.3617i | 1.11792 | − | 1.11792i | 0.125878 | − | 0.992046i | \(-0.459825\pi\) |
0.992046 | − | 0.125878i | \(-0.0401748\pi\) | |||||||
\(788\) | −4.51369 | + | 16.8453i | −0.160794 | + | 0.600090i | ||||
\(789\) | −5.73320 | + | 6.01127i | −0.204107 | + | 0.214007i | ||||
\(790\) | − | 2.15706i | − | 0.0767447i | ||||||
\(791\) | −0.561805 | + | 2.09668i | −0.0199755 | + | 0.0745495i | ||||
\(792\) | −6.74313 | + | 0.319488i | −0.239607 | + | 0.0113525i | ||||
\(793\) | −5.56168 | − | 9.78286i | −0.197501 | − | 0.347399i | ||||
\(794\) | 2.31327 | + | 1.33556i | 0.0820947 | + | 0.0473974i | ||||
\(795\) | −5.20017 | + | 3.16876i | −0.184431 | + | 0.112384i | ||||
\(796\) | 11.5568 | − | 20.0170i | 0.409621 | − | 0.709485i | ||||
\(797\) | 0.0479352 | 0.00169795 | 0.000848975 | − | 1.00000i | \(-0.499730\pi\) | ||||
0.000848975 | 1.00000i | \(0.499730\pi\) | ||||||||
\(798\) | −23.1256 | + | 0.547535i | −0.818637 | + | 0.0193825i | ||||
\(799\) | 14.5081 | − | 54.1448i | 0.513258 | − | 1.91551i | ||||
\(800\) | 4.36436 | − | 1.16943i | 0.154303 | − | 0.0413455i | ||||
\(801\) | −7.34130 | − | 1.59897i | −0.259392 | − | 0.0564967i | ||||
\(802\) | −0.0336571 | + | 0.0582957i | −0.00118847 | + | 0.00205849i | ||||
\(803\) | 17.6653 | 0.623395 | ||||||||
\(804\) | 10.8629 | − | 19.8879i | 0.383105 | − | 0.701392i | ||||
\(805\) | 13.0911 | − | 7.55816i | 0.461401 | − | 0.266390i | ||||
\(806\) | 12.0247 | + | 21.1511i | 0.423551 | + | 0.745017i | ||||
\(807\) | −12.1373 | − | 41.3554i | −0.427254 | − | 1.45578i | ||||
\(808\) | 2.66184 | + | 2.66184i | 0.0936431 | + | 0.0936431i | ||||
\(809\) | 11.0405 | − | 6.37425i | 0.388164 | − | 0.224107i | −0.293200 | − | 0.956051i | \(-0.594720\pi\) |
0.681364 | + | 0.731944i | \(0.261387\pi\) | |||||||
\(810\) | 5.08995 | − | 3.62061i | 0.178842 | − | 0.127215i | ||||
\(811\) | 8.60363 | + | 8.60363i | 0.302114 | + | 0.302114i | 0.841841 | − | 0.539726i | \(-0.181472\pi\) |
−0.539726 | + | 0.841841i | \(0.681472\pi\) | |||||||
\(812\) | 21.6467 | + | 5.80020i | 0.759649 | + | 0.203547i | ||||
\(813\) | 0.715475 | + | 1.17415i | 0.0250928 | + | 0.0411792i | ||||
\(814\) | −7.76224 | − | 2.07988i | −0.272066 | − | 0.0728999i | ||||
\(815\) | 3.87806i | 0.135843i | ||||||||
\(816\) | 7.71746 | − | 2.26498i | 0.270165 | − | 0.0792902i | ||||
\(817\) | −10.9176 | + | 10.9176i | −0.381958 | + | 0.381958i | ||||
\(818\) | −20.4258 | −0.714173 | ||||||||
\(819\) | 10.8888 | − | 48.4412i | 0.380486 | − | 1.69267i | ||||
\(820\) | 3.98493 | 0.139160 | ||||||||
\(821\) | −13.8494 | + | 13.8494i | −0.483349 | + | 0.483349i | −0.906199 | − | 0.422850i | \(-0.861030\pi\) |
0.422850 | + | 0.906199i | \(0.361030\pi\) | |||||||
\(822\) | −3.12465 | + | 12.8728i | −0.108985 | + | 0.448991i | ||||
\(823\) | 3.20159i | 0.111601i | 0.998442 | + | 0.0558003i | \(0.0177710\pi\) | ||||
−0.998442 | + | 0.0558003i | \(0.982229\pi\) | |||||||
\(824\) | −14.6744 | − | 3.93200i | −0.511208 | − | 0.136978i | ||||
\(825\) | 8.44164 | − | 15.4550i | 0.293900 | − | 0.538075i | ||||
\(826\) | −23.8088 | − | 6.37955i | −0.828414 | − | 0.221973i | ||||
\(827\) | −35.9697 | − | 35.9697i | −1.25079 | − | 1.25079i | −0.955367 | − | 0.295423i | \(-0.904539\pi\) |
−0.295423 | − | 0.955367i | \(-0.595461\pi\) | |||||||
\(828\) | 6.52613 | − | 12.6510i | 0.226799 | − | 0.439652i | ||||
\(829\) | −19.7591 | + | 11.4079i | −0.686263 | + | 0.396214i | −0.802211 | − | 0.597041i | \(-0.796343\pi\) |
0.115947 | + | 0.993255i | \(0.463010\pi\) | |||||||
\(830\) | −4.66406 | − | 4.66406i | −0.161892 | − | 0.161892i | ||||
\(831\) | −55.4610 | − | 13.4622i | −1.92392 | − | 0.466998i | ||||
\(832\) | −0.0239902 | + | 3.60547i | −0.000831710 | + | 0.124997i | ||||
\(833\) | 56.5799 | − | 32.6664i | 1.96038 | − | 1.13182i | ||||
\(834\) | −19.3472 | + | 0.458076i | −0.669939 | + | 0.0158619i | ||||
\(835\) | −16.9965 | −0.588187 | ||||||||
\(836\) | 3.27359 | − | 5.67003i | 0.113220 | − | 0.196102i | ||||
\(837\) | 19.6423 | + | 29.0455i | 0.678939 | + | 1.00396i | ||||
\(838\) | −22.1773 | + | 5.94239i | −0.766102 | + | 0.205276i | ||||
\(839\) | −2.31329 | + | 8.63333i | −0.0798638 | + | 0.298056i | −0.994292 | − | 0.106692i | \(-0.965974\pi\) |
0.914428 | + | 0.404748i | \(0.132641\pi\) | |||||||
\(840\) | −2.64503 | + | 4.84254i | −0.0912622 | + | 0.167083i | ||||
\(841\) | 5.16352 | 0.178052 | ||||||||
\(842\) | 5.64568 | − | 9.77861i | 0.194563 | − | 0.336993i | ||||
\(843\) | 27.6508 | + | 15.1031i | 0.952345 | + | 0.520178i | ||||
\(844\) | −8.99669 | − | 5.19424i | −0.309679 | − | 0.178793i | ||||
\(845\) | −8.68317 | − | 2.45095i | −0.298710 | − | 0.0843151i | ||||
\(846\) | 32.1842 | + | 16.6025i | 1.10652 | + | 0.570806i | ||||
\(847\) | −7.05261 | + | 26.3207i | −0.242331 | + | 0.904390i | ||||
\(848\) | − | 5.06576i | − | 0.173959i | ||||||
\(849\) | 11.9026 | + | 40.5557i | 0.408496 | + | 1.39187i | ||||
\(850\) | −5.43036 | + | 20.2664i | −0.186260 | + | 0.695131i | ||||
\(851\) | 11.9823 | − | 11.9823i | 0.410748 | − | 0.410748i | ||||
\(852\) | 24.4892 | + | 13.3762i | 0.838986 | + | 0.458260i | ||||
\(853\) | 0.373895 | + | 1.39540i | 0.0128019 | + | 0.0477774i | 0.972031 | − | 0.234851i | \(-0.0754603\pi\) |
−0.959229 | + | 0.282629i | \(0.908794\pi\) | |||||||
\(854\) | 12.4069 | + | 7.16315i | 0.424557 | + | 0.245118i | ||||
\(855\) | 0.286706 | + | 6.05122i | 0.00980513 | + | 0.206947i | ||||
\(856\) | 5.28074 | + | 1.41497i | 0.180492 | + | 0.0483627i | ||||
\(857\) | 14.4133 | − | 24.9645i | 0.492347 | − | 0.852770i | −0.507614 | − | 0.861585i | \(-0.669472\pi\) |
0.999961 | + | 0.00881420i | \(0.00280568\pi\) | |||||||
\(858\) | 10.1044 | + | 9.76621i | 0.344959 | + | 0.333413i | ||||
\(859\) | 7.53374 | + | 13.0488i | 0.257048 | + | 0.445220i | 0.965450 | − | 0.260589i | \(-0.0839169\pi\) |
−0.708402 | + | 0.705809i | \(0.750584\pi\) | |||||||
\(860\) | 0.953215 | + | 3.55745i | 0.0325044 | + | 0.121308i | ||||
\(861\) | 31.5053 | − | 33.0334i | 1.07370 | − | 1.12577i | ||||
\(862\) | 7.88511 | − | 4.55247i | 0.268568 | − | 0.155058i | ||||
\(863\) | 6.35047 | − | 6.35047i | 0.216173 | − | 0.216173i | −0.590711 | − | 0.806883i | \(-0.701153\pi\) |
0.806883 | + | 0.590711i | \(0.201153\pi\) | |||||||
\(864\) | 0.368703 | + | 5.18305i | 0.0125435 | + | 0.176331i | ||||
\(865\) | 1.90299 | + | 7.10205i | 0.0647036 | + | 0.241477i | ||||
\(866\) | 21.8717 | − | 5.86051i | 0.743231 | − | 0.199148i | ||||
\(867\) | −1.86432 | + | 7.68055i | −0.0633157 | + | 0.260845i | ||||
\(868\) | −26.8246 | − | 15.4872i | −0.910485 | − | 0.525669i | ||||
\(869\) | 6.75541 | − | 1.81011i | 0.229162 | − | 0.0614037i | ||||
\(870\) | 1.38439 | − | 5.70337i | 0.0469353 | − | 0.193362i | ||||
\(871\) | −45.6459 | + | 11.9058i | −1.54665 | + | 0.403414i | ||||
\(872\) | − | 7.21433i | − | 0.244308i | ||||||
\(873\) | −3.59887 | − | 0.783850i | −0.121803 | − | 0.0265293i | ||||
\(874\) | 6.90298 | + | 11.9563i | 0.233497 | + | 0.404428i | ||||
\(875\) | −15.1613 | − | 26.2602i | −0.512546 | − | 0.887756i | ||||
\(876\) | −0.321849 | − | 13.5935i | −0.0108743 | − | 0.459283i | ||||
\(877\) | 22.4256 | + | 22.4256i | 0.757260 | + | 0.757260i | 0.975823 | − | 0.218563i | \(-0.0701368\pi\) |
−0.218563 | + | 0.975823i | \(0.570137\pi\) | |||||||
\(878\) | 15.1246 | + | 15.1246i | 0.510430 | + | 0.510430i | ||||
\(879\) | −0.149131 | − | 6.29868i | −0.00503008 | − | 0.212449i | ||||
\(880\) | −0.780869 | − | 1.35250i | −0.0263231 | − | 0.0455929i | ||||
\(881\) | 25.4661 | + | 44.1086i | 0.857975 | + | 1.48606i | 0.873858 | + | 0.486182i | \(0.161611\pi\) |
−0.0158827 | + | 0.999874i | \(0.505056\pi\) | |||||||
\(882\) | 12.8415 | + | 40.2073i | 0.432397 | + | 1.35385i | ||||
\(883\) | − | 3.78144i | − | 0.127256i | −0.997974 | − | 0.0636278i | \(-0.979733\pi\) | ||
0.997974 | − | 0.0636278i | \(-0.0202671\pi\) | |||||||
\(884\) | −14.4437 | − | 8.46768i | −0.485793 | − | 0.284799i | ||||
\(885\) | −1.52267 | + | 6.27304i | −0.0511840 | + | 0.210866i | ||||
\(886\) | 30.2327 | − | 8.10083i | 1.01569 | − | 0.272153i | ||||
\(887\) | 14.0773 | + | 8.12754i | 0.472670 | + | 0.272896i | 0.717357 | − | 0.696706i | \(-0.245352\pi\) |
−0.244687 | + | 0.969602i | \(0.578685\pi\) | |||||||
\(888\) | −1.45906 | + | 6.01098i | −0.0489629 | + | 0.201715i | ||||
\(889\) | 1.93059 | − | 0.517301i | 0.0647500 | − | 0.0173497i | ||||
\(890\) | −0.449876 | − | 1.67896i | −0.0150799 | − | 0.0562789i | ||||
\(891\) | 15.6102 | + | 12.9023i | 0.522961 | + | 0.432243i | ||||
\(892\) | 11.2191 | − | 11.2191i | 0.375642 | − | 0.375642i | ||||
\(893\) | −30.4169 | + | 17.5612i | −1.01786 | + | 0.587664i | ||||
\(894\) | 8.84511 | − | 9.27411i | 0.295825 | − | 0.310173i | ||||
\(895\) | 2.23671 | + | 8.34752i | 0.0747650 | + | 0.279027i | ||||
\(896\) | −2.29507 | − | 3.97518i | −0.0766729 | − | 0.132801i | ||||
\(897\) | −28.4883 | + | 8.15549i | −0.951197 | + | 0.272304i | ||||
\(898\) | 6.61184 | − | 11.4520i | 0.220640 | − | 0.382160i | ||||
\(899\) | 31.8230 | + | 8.52694i | 1.06136 | + | 0.284389i | ||||
\(900\) | −12.0465 | − | 6.21432i | −0.401551 | − | 0.207144i | ||||
\(901\) | 20.3719 | + | 11.7617i | 0.678685 | + | 0.391839i | ||||
\(902\) | 3.34398 | + | 12.4799i | 0.111342 | + | 0.415535i | ||||
\(903\) | 37.0259 | + | 20.2238i | 1.23215 | + | 0.673006i | ||||
\(904\) | −0.334386 | + | 0.334386i | −0.0111215 | + | 0.0111215i | ||||
\(905\) | 3.31353 | − | 12.3663i | 0.110145 | − | 0.411068i | ||||
\(906\) | 6.98951 | + | 23.8153i | 0.232211 | + | 0.791211i | ||||
\(907\) | − | 10.7409i | − | 0.356645i | −0.983972 | − | 0.178323i | \(-0.942933\pi\) | ||
0.983972 | − | 0.178323i | \(-0.0570670\pi\) | |||||||
\(908\) | 1.64982 | − | 6.15723i | 0.0547513 | − | 0.204335i | ||||
\(909\) | −0.534470 | − | 11.2806i | −0.0177273 | − | 0.374153i | ||||
\(910\) | 11.1144 | − | 2.89898i | 0.368439 | − | 0.0961001i | ||||
\(911\) | −51.7103 | − | 29.8550i | −1.71324 | − | 0.989139i | −0.930110 | − | 0.367281i | \(-0.880289\pi\) |
−0.783130 | − | 0.621858i | \(-0.786378\pi\) | |||||||
\(912\) | −4.42276 | − | 2.41575i | −0.146452 | − | 0.0799933i | ||||
\(913\) | 10.6929 | − | 18.5206i | 0.353883 | − | 0.612943i | ||||
\(914\) | 11.7123 | 0.387409 | ||||||||
\(915\) | 1.79851 | − | 3.29272i | 0.0594568 | − | 0.108854i | ||||
\(916\) | 3.31118 | − | 12.3575i | 0.109404 | − | 0.408303i | ||||
\(917\) | 46.1955 | − | 12.3781i | 1.52551 | − | 0.408759i | ||||
\(918\) | −21.6996 | − | 10.5513i | −0.716195 | − | 0.348245i | ||||
\(919\) | −9.50921 | + | 16.4704i | −0.313680 | + | 0.543310i | −0.979156 | − | 0.203110i | \(-0.934895\pi\) |
0.665476 | + | 0.746419i | \(0.268229\pi\) | |||||||
\(920\) | 3.29321 | 0.108574 | ||||||||
\(921\) | −26.6902 | + | 0.631934i | −0.879472 | + | 0.0208229i | ||||
\(922\) | 6.34459 | − | 3.66305i | 0.208948 | − | 0.120636i | ||||
\(923\) | −14.6604 | − | 56.2067i | −0.482553 | − | 1.85006i | ||||
\(924\) | −17.3853 | − | 4.21998i | −0.571934 | − | 0.138827i | ||||
\(925\) | −11.4098 | − | 11.4098i | −0.375152 | − | 0.375152i | ||||
\(926\) | −12.6969 | + | 7.33055i | −0.417245 | + | 0.240897i | ||||
\(927\) | 24.6306 | + | 38.3475i | 0.808975 | + | 1.25950i | ||||
\(928\) | 3.45228 | + | 3.45228i | 0.113327 | + | 0.113327i | ||||
\(929\) | 2.50922 | + | 0.672344i | 0.0823249 | + | 0.0220589i | 0.299746 | − | 0.954019i | \(-0.403098\pi\) |
−0.217422 | + | 0.976078i | \(0.569765\pi\) | |||||||
\(930\) | −3.88848 | + | 7.11906i | −0.127508 | + | 0.233443i | ||||
\(931\) | −39.5409 | − | 10.5950i | −1.29590 | − | 0.347236i | ||||
\(932\) | − | 18.2644i | − | 0.598271i | ||||||
\(933\) | −4.39526 | + | 18.1074i | −0.143894 | + | 0.592810i | ||||
\(934\) | −12.7363 | + | 12.7363i | −0.416744 | + | 0.416744i | ||||
\(935\) | 7.25210 | 0.237169 | ||||||||
\(936\) | 7.33106 | − | 7.95334i | 0.239623 | − | 0.259963i | ||||
\(937\) | −11.7808 | −0.384863 | −0.192431 | − | 0.981310i | \(-0.561637\pi\) | ||||
−0.192431 | + | 0.981310i | \(0.561637\pi\) | |||||||
\(938\) | 42.4652 | − | 42.4652i | 1.38654 | − | 1.38654i | ||||
\(939\) | −21.0953 | + | 6.19122i | −0.688420 | + | 0.202043i | ||||
\(940\) | 8.37796i | 0.273259i | ||||||||
\(941\) | 44.3981 | + | 11.8964i | 1.44734 | + | 0.387813i | 0.895097 | − | 0.445871i | \(-0.147106\pi\) |
0.552241 | + | 0.833684i | \(0.313773\pi\) | |||||||
\(942\) | 5.15723 | + | 8.46341i | 0.168032 | + | 0.275753i | ||||
\(943\) | −26.3162 | − | 7.05139i | −0.856972 | − | 0.229625i | ||||
\(944\) | −3.79710 | − | 3.79710i | −0.123585 | − | 0.123585i | ||||
\(945\) | 15.6451 | − | 5.40811i | 0.508936 | − | 0.175926i | ||||
\(946\) | −10.3412 | + | 5.97050i | −0.336222 | + | 0.194118i | ||||
\(947\) | −3.12665 | − | 3.12665i | −0.101603 | − | 0.101603i | 0.654478 | − | 0.756081i | \(-0.272888\pi\) |
−0.756081 | + | 0.654478i | \(0.772888\pi\) | |||||||
\(948\) | −1.51597 | − | 5.16535i | −0.0492363 | − | 0.167763i | ||||
\(949\) | −20.1475 | + | 19.8812i | −0.654015 | + | 0.645370i | ||||
\(950\) | 11.3851 | − | 6.57316i | 0.369380 | − | 0.213262i | ||||
\(951\) | −21.6226 | + | 39.5868i | −0.701161 | + | 1.28369i | ||||
\(952\) | 21.3148 | 0.690818 | ||||||||
\(953\) | −15.6177 | + | 27.0507i | −0.505908 | + | 0.876258i | 0.494069 | + | 0.869423i | \(0.335509\pi\) |
−0.999977 | + | 0.00683493i | \(0.997824\pi\) | |||||||
\(954\) | −10.2255 | + | 11.2426i | −0.331062 | + | 0.363994i | ||||
\(955\) | −5.70877 | + | 1.52966i | −0.184732 | + | 0.0494987i | ||||
\(956\) | 5.17656 | − | 19.3192i | 0.167422 | − | 0.624827i | ||||
\(957\) | 19.0234 | − | 0.450408i | 0.614938 | − | 0.0145596i | ||||
\(958\) | −7.19178 | −0.232356 | ||||||||
\(959\) | −17.5526 | + | 30.4019i | −0.566802 | + | 0.981730i | ||||
\(960\) | −1.02653 | + | 0.625525i | −0.0331312 | + | 0.0201887i | ||||
\(961\) | −12.5883 | − | 7.26783i | −0.406073 | − | 0.234446i | ||||
\(962\) | 11.1937 | − | 6.36376i | 0.360900 | − | 0.205176i | ||||
\(963\) | −8.86356 | − | 13.7997i | −0.285624 | − | 0.444690i | ||||
\(964\) | −3.89667 | + | 14.5426i | −0.125503 | + | 0.468384i | ||||
\(965\) | 13.1381i | 0.422932i | ||||||||
\(966\) | 26.0365 | − | 27.2993i | 0.837710 | − | 0.878340i | ||||
\(967\) | −1.30625 | + | 4.87497i | −0.0420060 | + | 0.156769i | −0.983743 | − | 0.179581i | \(-0.942526\pi\) |
0.941737 | + | 0.336350i | \(0.109192\pi\) | |||||||
\(968\) | −4.19771 | + | 4.19771i | −0.134920 | + | 0.134920i | ||||
\(969\) | 19.9837 | − | 12.1772i | 0.641969 | − | 0.391188i | ||||
\(970\) | −0.220540 | − | 0.823066i | −0.00708111 | − | 0.0264270i | ||||
\(971\) | −44.8178 | − | 25.8756i | −1.43827 | − | 0.830387i | −0.440543 | − | 0.897732i | \(-0.645214\pi\) |
−0.997730 | + | 0.0673446i | \(0.978547\pi\) | |||||||
\(972\) | 9.64397 | − | 12.2472i | 0.309330 | − | 0.392829i | ||||
\(973\) | −49.5392 | − | 13.2740i | −1.58815 | − | 0.425545i | ||||
\(974\) | 0.167763 | − | 0.290575i | 0.00537549 | − | 0.00931061i | ||||
\(975\) | 7.76583 | + | 27.1272i | 0.248706 | + | 0.868765i | ||||
\(976\) | 1.56055 | + | 2.70295i | 0.0499520 | + | 0.0865194i | ||||
\(977\) | −5.54212 | − | 20.6835i | −0.177308 | − | 0.661723i | −0.996147 | − | 0.0876992i | \(-0.972049\pi\) |
0.818839 | − | 0.574023i | \(-0.194618\pi\) | |||||||
\(978\) | 2.72548 | + | 9.28651i | 0.0871511 | + | 0.296950i | ||||
\(979\) | 4.88060 | − | 2.81782i | 0.155985 | − | 0.0900578i | ||||
\(980\) | −6.90465 | + | 6.90465i | −0.220561 | + | 0.220561i | ||||
\(981\) | −14.5625 | + | 16.0110i | −0.464944 | + | 0.511193i | ||||
\(982\) | 1.01655 | + | 3.79381i | 0.0324394 | + | 0.121065i | ||||
\(983\) | −46.7595 | + | 12.5292i | −1.49140 | + | 0.399618i | −0.910208 | − | 0.414151i | \(-0.864078\pi\) |
−0.581188 | + | 0.813769i | \(0.697412\pi\) | |||||||
\(984\) | 9.54242 | − | 2.80058i | 0.304201 | − | 0.0892794i | ||||
\(985\) | 10.4821 | + | 6.05183i | 0.333987 | + | 0.192827i | ||||
\(986\) | −21.8988 | + | 5.86777i | −0.697401 | + | 0.186868i | ||||
\(987\) | 69.4496 | + | 66.2370i | 2.21061 | + | 2.10835i | ||||
\(988\) | 2.64768 | + | 10.1510i | 0.0842339 | + | 0.322945i | ||||
\(989\) | − | 25.1798i | − | 0.800671i | ||||||
\(990\) | −0.997083 | + | 4.57789i | −0.0316894 | + | 0.145495i | ||||
\(991\) | 18.5761 | + | 32.1748i | 0.590090 | + | 1.02207i | 0.994220 | + | 0.107364i | \(0.0342409\pi\) |
−0.404130 | + | 0.914701i | \(0.632426\pi\) | |||||||
\(992\) | −3.37401 | − | 5.84395i | −0.107125 | − | 0.185546i | ||||
\(993\) | 29.9716 | − | 18.2634i | 0.951121 | − | 0.579572i | ||||
\(994\) | 52.2901 | + | 52.2901i | 1.65854 | + | 1.65854i | ||||
\(995\) | −11.3432 | − | 11.3432i | −0.359603 | − | 0.359603i | ||||
\(996\) | −14.4465 | − | 7.89080i | −0.457756 | − | 0.250030i | ||||
\(997\) | −26.5059 | − | 45.9096i | −0.839451 | − | 1.45397i | −0.890355 | − | 0.455268i | \(-0.849544\pi\) |
0.0509038 | − | 0.998704i | \(-0.483790\pi\) | |||||||
\(998\) | 10.1494 | + | 17.5793i | 0.321274 | + | 0.556463i | ||||
\(999\) | 15.3716 | − | 10.3952i | 0.486336 | − | 0.328890i |
(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 | 234.2.y.a.11.9 | ✓ | 56 | |
3.2 | odd | 2 | 702.2.bb.a.89.5 | 56 | |||
9.4 | even | 3 | 702.2.bc.a.557.12 | 56 | |||
9.5 | odd | 6 | 234.2.z.a.167.4 | yes | 56 | ||
13.6 | odd | 12 | 234.2.z.a.227.4 | yes | 56 | ||
39.32 | even | 12 | 702.2.bc.a.305.12 | 56 | |||
117.32 | even | 12 | inner | 234.2.y.a.149.9 | yes | 56 | |
117.58 | odd | 12 | 702.2.bb.a.71.5 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
234.2.y.a.11.9 | ✓ | 56 | 1.1 | even | 1 | trivial | |
234.2.y.a.149.9 | yes | 56 | 117.32 | even | 12 | inner | |
234.2.z.a.167.4 | yes | 56 | 9.5 | odd | 6 | ||
234.2.z.a.227.4 | yes | 56 | 13.6 | odd | 12 | ||
702.2.bb.a.71.5 | 56 | 117.58 | odd | 12 | |||
702.2.bb.a.89.5 | 56 | 3.2 | odd | 2 | |||
702.2.bc.a.305.12 | 56 | 39.32 | even | 12 | |||
702.2.bc.a.557.12 | 56 | 9.4 | even | 3 |