Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [183,2,Mod(11,183)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(183, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("183.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 183 = 3 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 183.g (of order \(4\), 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: | \(1.46126235699\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 50.1 | ||
Character | \(\chi\) | \(=\) | 183.50 |
Dual form | 183.2.g.c.11.1 |
$q$-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 \(\left(\mathbb{Z}/183\mathbb{Z}\right)^\times\).
\(n\) | \(62\) | \(124\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.79987 | − | 1.79987i | −1.27270 | − | 1.27270i | −0.944667 | − | 0.328030i | \(-0.893615\pi\) |
−0.328030 | − | 0.944667i | \(-0.606385\pi\) | |||||||
\(3\) | 1.70524 | + | 0.303587i | 0.984519 | + | 0.175276i | ||||
\(4\) | 4.47903i | 2.23952i | ||||||||
\(5\) | 0.391521 | 0.175093 | 0.0875467 | − | 0.996160i | \(-0.472097\pi\) | ||||
0.0875467 | + | 0.996160i | \(0.472097\pi\) | |||||||
\(6\) | −2.52278 | − | 3.61561i | −1.02992 | − | 1.47607i | ||||
\(7\) | −0.663363 | + | 0.663363i | −0.250728 | + | 0.250728i | −0.821269 | − | 0.570541i | \(-0.806733\pi\) |
0.570541 | + | 0.821269i | \(0.306733\pi\) | |||||||
\(8\) | 4.46193 | − | 4.46193i | 1.57753 | − | 1.57753i | ||||
\(9\) | 2.81567 | + | 1.03538i | 0.938557 | + | 0.345125i | ||||
\(10\) | −0.704685 | − | 0.704685i | −0.222841 | − | 0.222841i | ||||
\(11\) | 2.18888 | − | 2.18888i | 0.659972 | − | 0.659972i | −0.295401 | − | 0.955373i | \(-0.595453\pi\) |
0.955373 | + | 0.295401i | \(0.0954533\pi\) | |||||||
\(12\) | −1.35978 | + | 7.63781i | −0.392533 | + | 2.20485i | ||||
\(13\) | 5.70332 | 1.58182 | 0.790908 | − | 0.611935i | \(-0.209609\pi\) | ||||
0.790908 | + | 0.611935i | \(0.209609\pi\) | |||||||
\(14\) | 2.38793 | 0.638200 | ||||||||
\(15\) | 0.667636 | + | 0.118861i | 0.172383 | + | 0.0306897i | ||||
\(16\) | −7.10367 | −1.77592 | ||||||||
\(17\) | −2.44623 | + | 2.44623i | −0.593297 | + | 0.593297i | −0.938521 | − | 0.345223i | \(-0.887803\pi\) |
0.345223 | + | 0.938521i | \(0.387803\pi\) | |||||||
\(18\) | −3.20429 | − | 6.93136i | −0.755259 | − | 1.63374i | ||||
\(19\) | − | 4.76840i | − | 1.09395i | −0.837151 | − | 0.546973i | \(-0.815780\pi\) | ||
0.837151 | − | 0.546973i | \(-0.184220\pi\) | |||||||
\(20\) | 1.75363i | 0.392125i | ||||||||
\(21\) | −1.33258 | + | 0.929803i | −0.290793 | + | 0.202900i | ||||
\(22\) | −7.87938 | −1.67989 | ||||||||
\(23\) | −2.39114 | − | 2.39114i | −0.498588 | − | 0.498588i | 0.412410 | − | 0.910998i | \(-0.364687\pi\) |
−0.910998 | + | 0.412410i | \(0.864687\pi\) | |||||||
\(24\) | 8.96323 | − | 6.25406i | 1.82961 | − | 1.27660i | ||||
\(25\) | −4.84671 | −0.969342 | ||||||||
\(26\) | −10.2652 | − | 10.2652i | −2.01317 | − | 2.01317i | ||||
\(27\) | 4.48706 | + | 2.62036i | 0.863535 | + | 0.504289i | ||||
\(28\) | −2.97122 | − | 2.97122i | −0.561508 | − | 0.561508i | ||||
\(29\) | −2.95735 | + | 2.95735i | −0.549166 | + | 0.549166i | −0.926200 | − | 0.377034i | \(-0.876944\pi\) |
0.377034 | + | 0.926200i | \(0.376944\pi\) | |||||||
\(30\) | −0.987722 | − | 1.41559i | −0.180332 | − | 0.258450i | ||||
\(31\) | 6.42776 | + | 6.42776i | 1.15446 | + | 1.15446i | 0.985648 | + | 0.168811i | \(0.0539929\pi\) |
0.168811 | + | 0.985648i | \(0.446007\pi\) | |||||||
\(32\) | 3.86180 | + | 3.86180i | 0.682676 | + | 0.682676i | ||||
\(33\) | 4.39708 | − | 3.06805i | 0.765433 | − | 0.534078i | ||||
\(34\) | 8.80576 | 1.51018 | ||||||||
\(35\) | −0.259720 | + | 0.259720i | −0.0439007 | + | 0.0439007i | ||||
\(36\) | −4.63748 | + | 12.6115i | −0.772914 | + | 2.10191i | ||||
\(37\) | −2.88263 | − | 2.88263i | −0.473901 | − | 0.473901i | 0.429274 | − | 0.903175i | \(-0.358770\pi\) |
−0.903175 | + | 0.429274i | \(0.858770\pi\) | |||||||
\(38\) | −8.58247 | + | 8.58247i | −1.39226 | + | 1.39226i | ||||
\(39\) | 9.72551 | + | 1.73145i | 1.55733 | + | 0.277254i | ||||
\(40\) | 1.74694 | − | 1.74694i | 0.276215 | − | 0.276215i | ||||
\(41\) | 3.26017 | 0.509152 | 0.254576 | − | 0.967053i | \(-0.418064\pi\) | ||||
0.254576 | + | 0.967053i | \(0.418064\pi\) | |||||||
\(42\) | 4.07198 | + | 0.724943i | 0.628321 | + | 0.111861i | ||||
\(43\) | −7.40298 | − | 7.40298i | −1.12894 | − | 1.12894i | −0.990349 | − | 0.138595i | \(-0.955741\pi\) |
−0.138595 | − | 0.990349i | \(-0.544259\pi\) | |||||||
\(44\) | 9.80407 | + | 9.80407i | 1.47802 | + | 1.47802i | ||||
\(45\) | 1.10239 | + | 0.405371i | 0.164335 | + | 0.0604291i | ||||
\(46\) | 8.60748i | 1.26910i | ||||||||
\(47\) | 10.0743i | 1.46949i | 0.678343 | + | 0.734745i | \(0.262698\pi\) | ||||
−0.678343 | + | 0.734745i | \(0.737302\pi\) | |||||||
\(48\) | −12.1134 | − | 2.15658i | −1.74842 | − | 0.311276i | ||||
\(49\) | 6.11990i | 0.874271i | ||||||||
\(50\) | 8.72343 | + | 8.72343i | 1.23368 | + | 1.23368i | ||||
\(51\) | −4.91404 | + | 3.42875i | −0.688103 | + | 0.480122i | ||||
\(52\) | 25.5454i | 3.54250i | ||||||||
\(53\) | −1.16414 | − | 1.16414i | −0.159907 | − | 0.159907i | 0.622619 | − | 0.782525i | \(-0.286069\pi\) |
−0.782525 | + | 0.622619i | \(0.786069\pi\) | |||||||
\(54\) | −3.35981 | − | 12.7924i | −0.457212 | − | 1.74083i | ||||
\(55\) | 0.856992 | − | 0.856992i | 0.115557 | − | 0.115557i | ||||
\(56\) | 5.91975i | 0.791060i | ||||||||
\(57\) | 1.44762 | − | 8.13125i | 0.191742 | − | 1.07701i | ||||
\(58\) | 10.6457 | 1.39784 | ||||||||
\(59\) | −5.04835 | + | 5.04835i | −0.657240 | + | 0.657240i | −0.954726 | − | 0.297486i | \(-0.903852\pi\) |
0.297486 | + | 0.954726i | \(0.403852\pi\) | |||||||
\(60\) | −0.532380 | + | 2.99036i | −0.0687300 | + | 0.386054i | ||||
\(61\) | −1.72475 | − | 7.61743i | −0.220832 | − | 0.975312i | ||||
\(62\) | − | 23.1382i | − | 2.93856i | ||||||
\(63\) | −2.55464 | + | 1.18098i | −0.321854 | + | 0.148790i | ||||
\(64\) | 0.305907i | 0.0382383i | ||||||||
\(65\) | 2.23297 | 0.276966 | ||||||||
\(66\) | −13.4362 | − | 2.39208i | −1.65388 | − | 0.294444i | ||||
\(67\) | −2.77574 | − | 2.77574i | −0.339111 | − | 0.339111i | 0.516922 | − | 0.856033i | \(-0.327078\pi\) |
−0.856033 | + | 0.516922i | \(0.827078\pi\) | |||||||
\(68\) | −10.9567 | − | 10.9567i | −1.32870 | − | 1.32870i | ||||
\(69\) | −3.35155 | − | 4.80339i | −0.403479 | − | 0.578260i | ||||
\(70\) | 0.934923 | 0.111745 | ||||||||
\(71\) | 8.79121 | − | 8.79121i | 1.04332 | − | 1.04332i | 0.0443063 | − | 0.999018i | \(-0.485892\pi\) |
0.999018 | − | 0.0443063i | \(-0.0141078\pi\) | |||||||
\(72\) | 17.1831 | − | 7.94354i | 2.02505 | − | 0.936155i | ||||
\(73\) | −11.4364 | −1.33853 | −0.669266 | − | 0.743023i | \(-0.733391\pi\) | ||||
−0.669266 | + | 0.743023i | \(0.733391\pi\) | |||||||
\(74\) | 10.3767i | 1.20626i | ||||||||
\(75\) | −8.26479 | − | 1.47140i | −0.954336 | − | 0.169902i | ||||
\(76\) | 21.3578 | 2.44991 | ||||||||
\(77\) | 2.90404i | 0.330946i | ||||||||
\(78\) | −14.3882 | − | 20.6210i | −1.62915 | − | 2.33487i | ||||
\(79\) | 1.86878 | − | 1.86878i | 0.210255 | − | 0.210255i | −0.594121 | − | 0.804376i | \(-0.702500\pi\) |
0.804376 | + | 0.594121i | \(0.202500\pi\) | |||||||
\(80\) | −2.78123 | −0.310951 | ||||||||
\(81\) | 6.85599 | + | 5.83055i | 0.761777 | + | 0.647839i | ||||
\(82\) | −5.86786 | − | 5.86786i | −0.647997 | − | 0.647997i | ||||
\(83\) | − | 5.41338i | − | 0.594195i | −0.954847 | − | 0.297098i | \(-0.903981\pi\) | ||
0.954847 | − | 0.297098i | \(-0.0960187\pi\) | |||||||
\(84\) | −4.16462 | − | 5.96866i | −0.454397 | − | 0.651235i | ||||
\(85\) | −0.957748 | + | 0.957748i | −0.103882 | + | 0.103882i | ||||
\(86\) | 26.6487i | 2.87361i | ||||||||
\(87\) | −5.94079 | + | 4.14517i | −0.636920 | + | 0.444409i | ||||
\(88\) | − | 19.5332i | − | 2.08225i | ||||||
\(89\) | −10.3517 | + | 10.3517i | −1.09728 | + | 1.09728i | −0.102556 | + | 0.994727i | \(0.532702\pi\) |
−0.994727 | + | 0.102556i | \(0.967298\pi\) | |||||||
\(90\) | −1.25455 | − | 2.71377i | −0.132241 | − | 0.286057i | ||||
\(91\) | −3.78337 | + | 3.78337i | −0.396605 | + | 0.396605i | ||||
\(92\) | 10.7100 | − | 10.7100i | 1.11660 | − | 1.11660i | ||||
\(93\) | 9.00947 | + | 12.9122i | 0.934239 | + | 1.33894i | ||||
\(94\) | 18.1324 | − | 18.1324i | 1.87022 | − | 1.87022i | ||||
\(95\) | − | 1.86693i | − | 0.191543i | ||||||
\(96\) | 5.41289 | + | 7.75767i | 0.552451 | + | 0.791764i | ||||
\(97\) | 3.49985i | 0.355356i | 0.984089 | + | 0.177678i | \(0.0568586\pi\) | ||||
−0.984089 | + | 0.177678i | \(0.943141\pi\) | |||||||
\(98\) | 11.0150 | − | 11.0150i | 1.11268 | − | 1.11268i | ||||
\(99\) | 8.42948 | − | 3.89685i | 0.847194 | − | 0.391648i | ||||
\(100\) | − | 21.7086i | − | 2.17086i | ||||||
\(101\) | 1.50782 | + | 1.50782i | 0.150034 | + | 0.150034i | 0.778133 | − | 0.628099i | \(-0.216167\pi\) |
−0.628099 | + | 0.778133i | \(0.716167\pi\) | |||||||
\(102\) | 15.0159 | + | 2.67331i | 1.48680 | + | 0.264697i | ||||
\(103\) | −7.67833 | −0.756568 | −0.378284 | − | 0.925690i | \(-0.623486\pi\) | ||||
−0.378284 | + | 0.925690i | \(0.623486\pi\) | |||||||
\(104\) | 25.4478 | − | 25.4478i | 2.49536 | − | 2.49536i | ||||
\(105\) | −0.521732 | + | 0.364037i | −0.0509159 | + | 0.0355264i | ||||
\(106\) | 4.19059i | 0.407026i | ||||||||
\(107\) | 2.63497 | 0.254732 | 0.127366 | − | 0.991856i | \(-0.459348\pi\) | ||||
0.127366 | + | 0.991856i | \(0.459348\pi\) | |||||||
\(108\) | −11.7367 | + | 20.0977i | −1.12936 | + | 1.93390i | ||||
\(109\) | 0.711454i | 0.0681450i | 0.999419 | + | 0.0340725i | \(0.0108477\pi\) | ||||
−0.999419 | + | 0.0340725i | \(0.989152\pi\) | |||||||
\(110\) | −3.08494 | −0.294138 | ||||||||
\(111\) | −4.04044 | − | 5.79069i | −0.383501 | − | 0.549628i | ||||
\(112\) | 4.71231 | − | 4.71231i | 0.445271 | − | 0.445271i | ||||
\(113\) | −19.6197 | −1.84566 | −0.922832 | − | 0.385202i | \(-0.874132\pi\) | ||||
−0.922832 | + | 0.385202i | \(0.874132\pi\) | |||||||
\(114\) | −17.2407 | + | 12.0296i | −1.61474 | + | 1.12668i | ||||
\(115\) | −0.936183 | − | 0.936183i | −0.0872995 | − | 0.0872995i | ||||
\(116\) | −13.2461 | − | 13.2461i | −1.22987 | − | 1.22987i | ||||
\(117\) | 16.0587 | + | 5.90508i | 1.48462 | + | 0.545925i | ||||
\(118\) | 18.1727 | 1.67293 | ||||||||
\(119\) | − | 3.24547i | − | 0.297512i | ||||||
\(120\) | 3.50929 | − | 2.44859i | 0.320353 | − | 0.223525i | ||||
\(121\) | 1.41761i | 0.128873i | ||||||||
\(122\) | −10.6060 | + | 16.8147i | −0.960225 | + | 1.52233i | ||||
\(123\) | 5.55936 | + | 0.989744i | 0.501270 | + | 0.0892422i | ||||
\(124\) | −28.7901 | + | 28.7901i | −2.58543 | + | 2.58543i | ||||
\(125\) | −3.85519 | −0.344819 | ||||||||
\(126\) | 6.72361 | + | 2.47240i | 0.598987 | + | 0.220259i | ||||
\(127\) | − | 0.376694i | − | 0.0334262i | −0.999860 | − | 0.0167131i | \(-0.994680\pi\) | ||
0.999860 | − | 0.0167131i | \(-0.00532019\pi\) | |||||||
\(128\) | 8.27418 | − | 8.27418i | 0.731341 | − | 0.731341i | ||||
\(129\) | −10.3764 | − | 14.8713i | −0.913590 | − | 1.30934i | ||||
\(130\) | −4.01904 | − | 4.01904i | −0.352493 | − | 0.352493i | ||||
\(131\) | − | 10.2228i | − | 0.893169i | −0.894742 | − | 0.446584i | \(-0.852640\pi\) | ||
0.894742 | − | 0.446584i | \(-0.147360\pi\) | |||||||
\(132\) | 13.7419 | + | 19.6946i | 1.19608 | + | 1.71420i | ||||
\(133\) | 3.16318 | + | 3.16318i | 0.274282 | + | 0.274282i | ||||
\(134\) | 9.99192i | 0.863170i | ||||||||
\(135\) | 1.75678 | + | 1.02593i | 0.151199 | + | 0.0882977i | ||||
\(136\) | 21.8298i | 1.87189i | ||||||||
\(137\) | − | 10.7179i | − | 0.915695i | −0.889031 | − | 0.457847i | \(-0.848621\pi\) | ||
0.889031 | − | 0.457847i | \(-0.151379\pi\) | |||||||
\(138\) | −2.61312 | + | 14.6778i | −0.222443 | + | 1.24946i | ||||
\(139\) | 0.0726317 | + | 0.0726317i | 0.00616054 | + | 0.00616054i | 0.710180 | − | 0.704020i | \(-0.248613\pi\) |
−0.704020 | + | 0.710180i | \(0.748613\pi\) | |||||||
\(140\) | −1.16330 | − | 1.16330i | −0.0983164 | − | 0.0983164i | ||||
\(141\) | −3.05843 | + | 17.1791i | −0.257566 | + | 1.44674i | ||||
\(142\) | −31.6460 | −2.65567 | ||||||||
\(143\) | 12.4839 | − | 12.4839i | 1.04395 | − | 1.04395i | ||||
\(144\) | −20.0016 | − | 7.35496i | −1.66680 | − | 0.612914i | ||||
\(145\) | −1.15786 | + | 1.15786i | −0.0961553 | + | 0.0961553i | ||||
\(146\) | 20.5840 | + | 20.5840i | 1.70355 | + | 1.70355i | ||||
\(147\) | −1.85792 | + | 10.4359i | −0.153239 | + | 0.860737i | ||||
\(148\) | 12.9114 | − | 12.9114i | 1.06131 | − | 1.06131i | ||||
\(149\) | −9.53197 | −0.780889 | −0.390445 | − | 0.920626i | \(-0.627679\pi\) | ||||
−0.390445 | + | 0.920626i | \(0.627679\pi\) | |||||||
\(150\) | 12.2272 | + | 17.5238i | 0.998347 | + | 1.43082i | ||||
\(151\) | 8.00673 | + | 8.00673i | 0.651579 | + | 0.651579i | 0.953373 | − | 0.301794i | \(-0.0975856\pi\) |
−0.301794 | + | 0.953373i | \(0.597586\pi\) | |||||||
\(152\) | −21.2762 | − | 21.2762i | −1.72573 | − | 1.72573i | ||||
\(153\) | −9.42053 | + | 4.35500i | −0.761605 | + | 0.352081i | ||||
\(154\) | 5.22689 | − | 5.22689i | 0.421195 | − | 0.421195i | ||||
\(155\) | 2.51660 | + | 2.51660i | 0.202138 | + | 0.202138i | ||||
\(156\) | −7.75523 | + | 43.5609i | −0.620916 | + | 3.48766i | ||||
\(157\) | −9.87449 | − | 9.87449i | −0.788070 | − | 0.788070i | 0.193107 | − | 0.981178i | \(-0.438143\pi\) |
−0.981178 | + | 0.193107i | \(0.938143\pi\) | |||||||
\(158\) | −6.72712 | −0.535181 | ||||||||
\(159\) | −1.63172 | − | 2.33855i | −0.129403 | − | 0.185459i | ||||
\(160\) | 1.51197 | + | 1.51197i | 0.119532 | + | 0.119532i | ||||
\(161\) | 3.17239 | 0.250020 | ||||||||
\(162\) | −1.84566 | − | 22.8341i | −0.145009 | − | 1.79401i | ||||
\(163\) | − | 13.8507i | − | 1.08487i | −0.840097 | − | 0.542437i | \(-0.817502\pi\) | ||
0.840097 | − | 0.542437i | \(-0.182498\pi\) | |||||||
\(164\) | 14.6024i | 1.14025i | ||||||||
\(165\) | 1.72155 | − | 1.20120i | 0.134022 | − | 0.0935136i | ||||
\(166\) | −9.74335 | + | 9.74335i | −0.756231 | + | 0.756231i | ||||
\(167\) | 2.80077 | 0.216730 | 0.108365 | − | 0.994111i | \(-0.465438\pi\) | ||||
0.108365 | + | 0.994111i | \(0.465438\pi\) | |||||||
\(168\) | −1.79716 | + | 10.0946i | −0.138654 | + | 0.778814i | ||||
\(169\) | 19.5278 | 1.50214 | ||||||||
\(170\) | 3.44764 | 0.264422 | ||||||||
\(171\) | 4.93708 | − | 13.4262i | 0.377548 | − | 1.02673i | ||||
\(172\) | 33.1582 | − | 33.1582i | 2.52829 | − | 2.52829i | ||||
\(173\) | 17.3471 | + | 17.3471i | 1.31888 | + | 1.31888i | 0.914667 | + | 0.404209i | \(0.132453\pi\) |
0.404209 | + | 0.914667i | \(0.367547\pi\) | |||||||
\(174\) | 18.1534 | + | 3.23188i | 1.37620 | + | 0.245008i | ||||
\(175\) | 3.21513 | − | 3.21513i | 0.243041 | − | 0.243041i | ||||
\(176\) | −15.5491 | + | 15.5491i | −1.17206 | + | 1.17206i | ||||
\(177\) | −10.1413 | + | 7.07603i | −0.762264 | + | 0.531867i | ||||
\(178\) | 37.2635 | 2.79302 | ||||||||
\(179\) | − | 18.4014i | − | 1.37539i | −0.726001 | − | 0.687694i | \(-0.758623\pi\) | ||
0.726001 | − | 0.687694i | \(-0.241377\pi\) | |||||||
\(180\) | −1.81567 | + | 4.93765i | −0.135332 | + | 0.368031i | ||||
\(181\) | 2.87325 | + | 2.87325i | 0.213567 | + | 0.213567i | 0.805781 | − | 0.592214i | \(-0.201746\pi\) |
−0.592214 | + | 0.805781i | \(0.701746\pi\) | |||||||
\(182\) | 13.6191 | 1.00952 | ||||||||
\(183\) | −0.628560 | − | 13.5131i | −0.0464645 | − | 0.998920i | ||||
\(184\) | −21.3382 | −1.57307 | ||||||||
\(185\) | −1.12861 | − | 1.12861i | −0.0829769 | − | 0.0829769i | ||||
\(186\) | 7.02446 | − | 39.4561i | 0.515058 | − | 2.89306i | ||||
\(187\) | 10.7090i | 0.783119i | ||||||||
\(188\) | −45.1232 | −3.29095 | ||||||||
\(189\) | −4.71480 | + | 1.23830i | −0.342951 | + | 0.0900729i | ||||
\(190\) | −3.36022 | + | 3.36022i | −0.243776 | + | 0.243776i | ||||
\(191\) | −6.47982 | + | 6.47982i | −0.468863 | + | 0.468863i | −0.901546 | − | 0.432683i | \(-0.857567\pi\) |
0.432683 | + | 0.901546i | \(0.357567\pi\) | |||||||
\(192\) | −0.0928693 | + | 0.521644i | −0.00670226 | + | 0.0376464i | ||||
\(193\) | 3.43734 | + | 3.43734i | 0.247425 | + | 0.247425i | 0.819913 | − | 0.572488i | \(-0.194022\pi\) |
−0.572488 | + | 0.819913i | \(0.694022\pi\) | |||||||
\(194\) | 6.29926 | − | 6.29926i | 0.452261 | − | 0.452261i | ||||
\(195\) | 3.80774 | + | 0.677900i | 0.272678 | + | 0.0485454i | ||||
\(196\) | −27.4112 | −1.95795 | ||||||||
\(197\) | 18.9624 | 1.35101 | 0.675506 | − | 0.737355i | \(-0.263925\pi\) | ||||
0.675506 | + | 0.737355i | \(0.263925\pi\) | |||||||
\(198\) | −22.1857 | − | 8.15812i | −1.57667 | − | 0.579772i | ||||
\(199\) | 13.8999 | 0.985340 | 0.492670 | − | 0.870216i | \(-0.336021\pi\) | ||||
0.492670 | + | 0.870216i | \(0.336021\pi\) | |||||||
\(200\) | −21.6257 | + | 21.6257i | −1.52917 | + | 1.52917i | ||||
\(201\) | −3.89062 | − | 5.57597i | −0.274423 | − | 0.393299i | ||||
\(202\) | − | 5.42776i | − | 0.381896i | ||||||
\(203\) | − | 3.92359i | − | 0.275382i | ||||||
\(204\) | −15.3575 | − | 22.0101i | −1.07524 | − | 1.54102i | ||||
\(205\) | 1.27642 | 0.0891492 | ||||||||
\(206\) | 13.8200 | + | 13.8200i | 0.962882 | + | 0.962882i | ||||
\(207\) | −4.25694 | − | 9.20841i | −0.295878 | − | 0.640029i | ||||
\(208\) | −40.5145 | −2.80917 | ||||||||
\(209\) | −10.4374 | − | 10.4374i | −0.721973 | − | 0.721973i | ||||
\(210\) | 1.59427 | + | 0.283830i | 0.110015 | + | 0.0195862i | ||||
\(211\) | −10.3273 | − | 10.3273i | −0.710960 | − | 0.710960i | 0.255776 | − | 0.966736i | \(-0.417669\pi\) |
−0.966736 | + | 0.255776i | \(0.917669\pi\) | |||||||
\(212\) | 5.21422 | − | 5.21422i | 0.358114 | − | 0.358114i | ||||
\(213\) | 17.6600 | − | 12.3222i | 1.21004 | − | 0.844303i | ||||
\(214\) | −4.74259 | − | 4.74259i | −0.324197 | − | 0.324197i | ||||
\(215\) | −2.89842 | − | 2.89842i | −0.197671 | − | 0.197671i | ||||
\(216\) | 31.7128 | − | 8.32907i | 2.15778 | − | 0.566721i | ||||
\(217\) | −8.52787 | −0.578910 | ||||||||
\(218\) | 1.28052 | − | 1.28052i | 0.0867279 | − | 0.0867279i | ||||
\(219\) | −19.5018 | − | 3.47195i | −1.31781 | − | 0.234612i | ||||
\(220\) | 3.83850 | + | 3.83850i | 0.258791 | + | 0.258791i | ||||
\(221\) | −13.9516 | + | 13.9516i | −0.938487 | + | 0.938487i | ||||
\(222\) | −3.15022 | + | 17.6947i | −0.211429 | + | 1.18759i | ||||
\(223\) | 11.9527 | − | 11.9527i | 0.800410 | − | 0.800410i | −0.182749 | − | 0.983160i | \(-0.558500\pi\) |
0.983160 | + | 0.182749i | \(0.0584997\pi\) | |||||||
\(224\) | −5.12354 | −0.342331 | ||||||||
\(225\) | −13.6467 | − | 5.01817i | −0.909783 | − | 0.334544i | ||||
\(226\) | 35.3128 | + | 35.3128i | 2.34897 | + | 2.34897i | ||||
\(227\) | −2.73246 | − | 2.73246i | −0.181360 | − | 0.181360i | 0.610589 | − | 0.791948i | \(-0.290933\pi\) |
−0.791948 | + | 0.610589i | \(0.790933\pi\) | |||||||
\(228\) | 36.4201 | + | 6.48395i | 2.41198 | + | 0.429410i | ||||
\(229\) | 24.6475i | 1.62875i | 0.580336 | + | 0.814377i | \(0.302921\pi\) | ||||
−0.580336 | + | 0.814377i | \(0.697079\pi\) | |||||||
\(230\) | 3.37001i | 0.222212i | ||||||||
\(231\) | −0.881629 | + | 4.95208i | −0.0580070 | + | 0.325823i | ||||
\(232\) | 26.3909i | 1.73265i | ||||||||
\(233\) | 4.30207 | + | 4.30207i | 0.281838 | + | 0.281838i | 0.833842 | − | 0.552004i | \(-0.186137\pi\) |
−0.552004 | + | 0.833842i | \(0.686137\pi\) | |||||||
\(234\) | −18.2751 | − | 39.5318i | −1.19468 | − | 2.58427i | ||||
\(235\) | 3.94430i | 0.257298i | ||||||||
\(236\) | −22.6117 | − | 22.6117i | −1.47190 | − | 1.47190i | ||||
\(237\) | 3.75406 | − | 2.61938i | 0.243852 | − | 0.170147i | ||||
\(238\) | −5.84141 | + | 5.84141i | −0.378642 | + | 0.378642i | ||||
\(239\) | 1.85284i | 0.119850i | 0.998203 | + | 0.0599250i | \(0.0190862\pi\) | ||||
−0.998203 | + | 0.0599250i | \(0.980914\pi\) | |||||||
\(240\) | −4.74266 | − | 0.844346i | −0.306138 | − | 0.0545023i | ||||
\(241\) | −2.20404 | −0.141975 | −0.0709874 | − | 0.997477i | \(-0.522615\pi\) | ||||
−0.0709874 | + | 0.997477i | \(0.522615\pi\) | |||||||
\(242\) | 2.55150 | − | 2.55150i | 0.164017 | − | 0.164017i | ||||
\(243\) | 9.92102 | + | 12.0239i | 0.636434 | + | 0.771331i | ||||
\(244\) | 34.1187 | − | 7.72522i | 2.18423 | − | 0.494557i | ||||
\(245\) | 2.39607i | 0.153079i | ||||||||
\(246\) | −8.22469 | − | 11.7875i | −0.524387 | − | 0.751544i | ||||
\(247\) | − | 27.1957i | − | 1.73042i | ||||||
\(248\) | 57.3604 | 3.64239 | ||||||||
\(249\) | 1.64343 | − | 9.23109i | 0.104148 | − | 0.584997i | ||||
\(250\) | 6.93883 | + | 6.93883i | 0.438850 | + | 0.438850i | ||||
\(251\) | 18.0661 | + | 18.0661i | 1.14032 | + | 1.14032i | 0.988391 | + | 0.151929i | \(0.0485485\pi\) |
0.151929 | + | 0.988391i | \(0.451452\pi\) | |||||||
\(252\) | −5.28965 | − | 11.4423i | −0.333217 | − | 0.720798i | ||||
\(253\) | −10.4679 | −0.658109 | ||||||||
\(254\) | −0.677999 | + | 0.677999i | −0.0425414 | + | 0.0425414i | ||||
\(255\) | −1.92395 | + | 1.34243i | −0.120482 | + | 0.0840661i | ||||
\(256\) | −29.1730 | −1.82331 | ||||||||
\(257\) | 9.82678i | 0.612978i | 0.951874 | + | 0.306489i | \(0.0991542\pi\) | ||||
−0.951874 | + | 0.306489i | \(0.900846\pi\) | |||||||
\(258\) | −8.09021 | + | 45.4424i | −0.503674 | + | 2.82912i | ||||
\(259\) | 3.82445 | 0.237640 | ||||||||
\(260\) | 10.0015i | 0.620269i | ||||||||
\(261\) | −11.3889 | + | 5.26495i | −0.704954 | + | 0.325892i | ||||
\(262\) | −18.3996 | + | 18.3996i | −1.13673 | + | 1.13673i | ||||
\(263\) | 14.8597 | 0.916291 | 0.458145 | − | 0.888877i | \(-0.348514\pi\) | ||||
0.458145 | + | 0.888877i | \(0.348514\pi\) | |||||||
\(264\) | 5.93004 | − | 33.3088i | 0.364969 | − | 2.05002i | ||||
\(265\) | −0.455785 | − | 0.455785i | −0.0279986 | − | 0.0279986i | ||||
\(266\) | − | 11.3866i | − | 0.698156i | ||||||
\(267\) | −20.7948 | + | 14.5095i | −1.27262 | + | 0.887969i | ||||
\(268\) | 12.4326 | − | 12.4326i | 0.759444 | − | 0.759444i | ||||
\(269\) | − | 17.7465i | − | 1.08202i | −0.841015 | − | 0.541012i | \(-0.818041\pi\) | ||
0.841015 | − | 0.541012i | \(-0.181959\pi\) | |||||||
\(270\) | −1.31543 | − | 5.00849i | −0.0800547 | − | 0.304807i | ||||
\(271\) | − | 2.48831i | − | 0.151154i | −0.997140 | − | 0.0755769i | \(-0.975920\pi\) | ||
0.997140 | − | 0.0755769i | \(-0.0240798\pi\) | |||||||
\(272\) | 17.3772 | − | 17.3772i | 1.05365 | − | 1.05365i | ||||
\(273\) | −7.60012 | + | 5.30296i | −0.459980 | + | 0.320950i | ||||
\(274\) | −19.2908 | + | 19.2908i | −1.16540 | + | 1.16540i | ||||
\(275\) | −10.6089 | + | 10.6089i | −0.639739 | + | 0.639739i | ||||
\(276\) | 21.5145 | − | 15.0117i | 1.29502 | − | 0.903598i | ||||
\(277\) | −19.0307 | + | 19.0307i | −1.14344 | + | 1.14344i | −0.155626 | + | 0.987816i | \(0.549740\pi\) |
−0.987816 | + | 0.155626i | \(0.950260\pi\) | |||||||
\(278\) | − | 0.261455i | − | 0.0156810i | ||||||
\(279\) | 11.4433 | + | 24.7536i | 0.685093 | + | 1.48196i | ||||
\(280\) | 2.31770i | 0.138509i | ||||||||
\(281\) | 2.10759 | − | 2.10759i | 0.125728 | − | 0.125728i | −0.641443 | − | 0.767171i | \(-0.721664\pi\) |
0.767171 | + | 0.641443i | \(0.221664\pi\) | |||||||
\(282\) | 36.4248 | − | 25.4153i | 2.16907 | − | 1.51346i | ||||
\(283\) | − | 16.3591i | − | 0.972447i | −0.873835 | − | 0.486223i | \(-0.838374\pi\) | ||
0.873835 | − | 0.486223i | \(-0.161626\pi\) | |||||||
\(284\) | 39.3761 | + | 39.3761i | 2.33654 | + | 2.33654i | ||||
\(285\) | 0.566774 | − | 3.18355i | 0.0335728 | − | 0.188577i | ||||
\(286\) | −44.9386 | −2.65728 | ||||||||
\(287\) | −2.16267 | + | 2.16267i | −0.127658 | + | 0.127658i | ||||
\(288\) | 6.87513 | + | 14.8720i | 0.405121 | + | 0.876338i | ||||
\(289\) | 5.03195i | 0.295997i | ||||||||
\(290\) | 4.16800 | 0.244753 | ||||||||
\(291\) | −1.06251 | + | 5.96808i | −0.0622854 | + | 0.349855i | ||||
\(292\) | − | 51.2241i | − | 2.99766i | ||||||
\(293\) | 17.4544 | 1.01969 | 0.509847 | − | 0.860265i | \(-0.329702\pi\) | ||||
0.509847 | + | 0.860265i | \(0.329702\pi\) | |||||||
\(294\) | 22.1272 | − | 15.4392i | 1.29048 | − | 0.900431i | ||||
\(295\) | −1.97654 | + | 1.97654i | −0.115078 | + | 0.115078i | ||||
\(296\) | −25.7241 | −1.49518 | ||||||||
\(297\) | 15.5573 | − | 4.08598i | 0.902726 | − | 0.237092i | ||||
\(298\) | 17.1563 | + | 17.1563i | 0.993836 | + | 0.993836i | ||||
\(299\) | −13.6375 | − | 13.6375i | −0.788675 | − | 0.788675i | ||||
\(300\) | 6.59044 | − | 37.0183i | 0.380499 | − | 2.13725i | ||||
\(301\) | 9.82172 | 0.566115 | ||||||||
\(302\) | − | 28.8221i | − | 1.65852i | ||||||
\(303\) | 2.11344 | + | 3.02895i | 0.121414 | + | 0.174009i | ||||
\(304\) | 33.8731i | 1.94276i | ||||||||
\(305\) | −0.675276 | − | 2.98238i | −0.0386662 | − | 0.170771i | ||||
\(306\) | 24.7941 | + | 9.11727i | 1.41738 | + | 0.521199i | ||||
\(307\) | 0.460601 | − | 0.460601i | 0.0262879 | − | 0.0262879i | −0.693841 | − | 0.720129i | \(-0.744083\pi\) |
0.720129 | + | 0.693841i | \(0.244083\pi\) | |||||||
\(308\) | −13.0073 | −0.741160 | ||||||||
\(309\) | −13.0934 | − | 2.33104i | −0.744856 | − | 0.132608i | ||||
\(310\) | − | 9.05909i | − | 0.514522i | ||||||
\(311\) | 8.81079 | − | 8.81079i | 0.499614 | − | 0.499614i | −0.411704 | − | 0.911318i | \(-0.635066\pi\) |
0.911318 | + | 0.411704i | \(0.135066\pi\) | |||||||
\(312\) | 51.1201 | − | 35.6689i | 2.89411 | − | 2.01935i | ||||
\(313\) | 6.06190 | + | 6.06190i | 0.342639 | + | 0.342639i | 0.857358 | − | 0.514720i | \(-0.172104\pi\) |
−0.514720 | + | 0.857358i | \(0.672104\pi\) | |||||||
\(314\) | 35.5455i | 2.00595i | ||||||||
\(315\) | −1.00019 | + | 0.462378i | −0.0563546 | + | 0.0260521i | ||||
\(316\) | 8.37034 | + | 8.37034i | 0.470869 | + | 0.470869i | ||||
\(317\) | 0.297271i | 0.0166964i | 0.999965 | + | 0.00834819i | \(0.00265734\pi\) | ||||
−0.999965 | + | 0.00834819i | \(0.997343\pi\) | |||||||
\(318\) | −1.27221 | + | 7.14595i | −0.0713419 | + | 0.400725i | ||||
\(319\) | 12.9466i | 0.724868i | ||||||||
\(320\) | 0.119769i | 0.00669528i | ||||||||
\(321\) | 4.49325 | + | 0.799943i | 0.250789 | + | 0.0446484i | ||||
\(322\) | −5.70988 | − | 5.70988i | −0.318199 | − | 0.318199i | ||||
\(323\) | 11.6646 | + | 11.6646i | 0.649034 | + | 0.649034i | ||||
\(324\) | −26.1152 | + | 30.7082i | −1.45085 | + | 1.70601i | ||||
\(325\) | −27.6423 | −1.53332 | ||||||||
\(326\) | −24.9295 | + | 24.9295i | −1.38072 | + | 1.38072i | ||||
\(327\) | −0.215988 | + | 1.21320i | −0.0119442 | + | 0.0670900i | ||||
\(328\) | 14.5466 | − | 14.5466i | 0.803203 | − | 0.803203i | ||||
\(329\) | −6.68293 | − | 6.68293i | −0.368442 | − | 0.368442i | ||||
\(330\) | −5.26056 | − | 0.936548i | −0.289584 | − | 0.0515553i | ||||
\(331\) | 7.79724 | − | 7.79724i | 0.428575 | − | 0.428575i | −0.459568 | − | 0.888143i | \(-0.651996\pi\) |
0.888143 | + | 0.459568i | \(0.151996\pi\) | |||||||
\(332\) | 24.2467 | 1.33071 | ||||||||
\(333\) | −5.13192 | − | 11.1011i | −0.281228 | − | 0.608338i | ||||
\(334\) | −5.04102 | − | 5.04102i | −0.275832 | − | 0.275832i | ||||
\(335\) | −1.08676 | − | 1.08676i | −0.0593760 | − | 0.0593760i | ||||
\(336\) | 9.46620 | − | 6.60501i | 0.516423 | − | 0.360333i | ||||
\(337\) | −17.8635 | + | 17.8635i | −0.973084 | + | 0.973084i | −0.999647 | − | 0.0265628i | \(-0.991544\pi\) |
0.0265628 | + | 0.999647i | \(0.491544\pi\) | |||||||
\(338\) | −35.1475 | − | 35.1475i | −1.91177 | − | 1.91177i | ||||
\(339\) | −33.4562 | − | 5.95628i | −1.81709 | − | 0.323501i | ||||
\(340\) | −4.28979 | − | 4.28979i | −0.232646 | − | 0.232646i | ||||
\(341\) | 28.1392 | 1.52382 | ||||||||
\(342\) | −33.0515 | + | 15.2793i | −1.78722 | + | 0.826211i | ||||
\(343\) | −8.70325 | − | 8.70325i | −0.469931 | − | 0.469931i | ||||
\(344\) | −66.0631 | −3.56188 | ||||||||
\(345\) | −1.31220 | − | 1.88063i | −0.0706465 | − | 0.101250i | ||||
\(346\) | − | 62.4449i | − | 3.35706i | ||||||
\(347\) | 6.13041i | 0.329098i | 0.986369 | + | 0.164549i | \(0.0526168\pi\) | ||||
−0.986369 | + | 0.164549i | \(0.947383\pi\) | |||||||
\(348\) | −18.5663 | − | 26.6090i | −0.995261 | − | 1.42639i | ||||
\(349\) | 17.2170 | − | 17.2170i | 0.921606 | − | 0.921606i | −0.0755369 | − | 0.997143i | \(-0.524067\pi\) |
0.997143 | + | 0.0755369i | \(0.0240671\pi\) | |||||||
\(350\) | −11.5736 | −0.618635 | ||||||||
\(351\) | 25.5911 | + | 14.9448i | 1.36595 | + | 0.797692i | ||||
\(352\) | 16.9060 | 0.901094 | ||||||||
\(353\) | 2.78490 | 0.148225 | 0.0741126 | − | 0.997250i | \(-0.476388\pi\) | ||||
0.0741126 | + | 0.997250i | \(0.476388\pi\) | |||||||
\(354\) | 30.9888 | + | 5.51700i | 1.64704 | + | 0.293225i | ||||
\(355\) | 3.44194 | − | 3.44194i | 0.182679 | − | 0.182679i | ||||
\(356\) | −46.3658 | − | 46.3658i | −2.45738 | − | 2.45738i | ||||
\(357\) | 0.985282 | − | 5.53430i | 0.0521467 | − | 0.292906i | ||||
\(358\) | −33.1201 | + | 33.1201i | −1.75045 | + | 1.75045i | ||||
\(359\) | −0.310453 | + | 0.310453i | −0.0163851 | + | 0.0163851i | −0.715252 | − | 0.698867i | \(-0.753688\pi\) |
0.698867 | + | 0.715252i | \(0.253688\pi\) | |||||||
\(360\) | 6.72753 | − | 3.11006i | 0.354572 | − | 0.163915i | ||||
\(361\) | −3.73760 | −0.196716 | ||||||||
\(362\) | − | 10.3429i | − | 0.543612i | ||||||
\(363\) | −0.430366 | + | 2.41735i | −0.0225884 | + | 0.126878i | ||||
\(364\) | −16.9458 | − | 16.9458i | −0.888203 | − | 0.888203i | ||||
\(365\) | −4.47759 | −0.234368 | ||||||||
\(366\) | −23.1905 | + | 25.4532i | −1.21219 | + | 1.33046i | ||||
\(367\) | −18.6336 | −0.972666 | −0.486333 | − | 0.873773i | \(-0.661666\pi\) | ||||
−0.486333 | + | 0.873773i | \(0.661666\pi\) | |||||||
\(368\) | 16.9859 | + | 16.9859i | 0.885451 | + | 0.885451i | ||||
\(369\) | 9.17955 | + | 3.37550i | 0.477868 | + | 0.175721i | ||||
\(370\) | 4.06269i | 0.211209i | ||||||||
\(371\) | 1.54449 | 0.0801861 | ||||||||
\(372\) | −57.8344 | + | 40.3537i | −2.99857 | + | 2.09224i | ||||
\(373\) | 2.12557 | − | 2.12557i | 0.110058 | − | 0.110058i | −0.649933 | − | 0.759991i | \(-0.725203\pi\) |
0.759991 | + | 0.649933i | \(0.225203\pi\) | |||||||
\(374\) | 19.2748 | − | 19.2748i | 0.996674 | − | 0.996674i | ||||
\(375\) | −6.57402 | − | 1.17039i | −0.339481 | − | 0.0604385i | ||||
\(376\) | 44.9509 | + | 44.9509i | 2.31816 | + | 2.31816i | ||||
\(377\) | −16.8667 | + | 16.8667i | −0.868679 | + | 0.868679i | ||||
\(378\) | 10.7148 | + | 6.25723i | 0.551108 | + | 0.321837i | ||||
\(379\) | 23.0398 | 1.18348 | 0.591739 | − | 0.806130i | \(-0.298442\pi\) | ||||
0.591739 | + | 0.806130i | \(0.298442\pi\) | |||||||
\(380\) | 8.36202 | 0.428963 | ||||||||
\(381\) | 0.114359 | − | 0.642353i | 0.00585881 | − | 0.0329087i | ||||
\(382\) | 23.3256 | 1.19344 | ||||||||
\(383\) | −10.3803 | + | 10.3803i | −0.530410 | + | 0.530410i | −0.920694 | − | 0.390285i | \(-0.872377\pi\) |
0.390285 | + | 0.920694i | \(0.372377\pi\) | |||||||
\(384\) | 16.6214 | − | 11.5975i | 0.848206 | − | 0.591833i | ||||
\(385\) | 1.13699i | 0.0579465i | ||||||||
\(386\) | − | 12.3735i | − | 0.629795i | ||||||
\(387\) | −13.1795 | − | 28.5092i | −0.669951 | − | 1.44921i | ||||
\(388\) | −15.6759 | −0.795826 | ||||||||
\(389\) | 19.7841 | + | 19.7841i | 1.00309 | + | 1.00309i | 0.999995 | + | 0.00309955i | \(0.000986620\pi\) |
0.00309955 | + | 0.999995i | \(0.499013\pi\) | |||||||
\(390\) | −5.63329 | − | 8.07355i | −0.285253 | − | 0.408820i | ||||
\(391\) | 11.6986 | 0.591622 | ||||||||
\(392\) | 27.3065 | + | 27.3065i | 1.37919 | + | 1.37919i | ||||
\(393\) | 3.10350 | − | 17.4323i | 0.156551 | − | 0.879342i | ||||
\(394\) | −34.1297 | − | 34.1297i | −1.71943 | − | 1.71943i | ||||
\(395\) | 0.731668 | − | 0.731668i | 0.0368142 | − | 0.0368142i | ||||
\(396\) | 17.4541 | + | 37.7559i | 0.877103 | + | 1.89731i | ||||
\(397\) | 6.70708 | + | 6.70708i | 0.336619 | + | 0.336619i | 0.855093 | − | 0.518474i | \(-0.173500\pi\) |
−0.518474 | + | 0.855093i | \(0.673500\pi\) | |||||||
\(398\) | −25.0180 | − | 25.0180i | −1.25404 | − | 1.25404i | ||||
\(399\) | 4.43367 | + | 6.35426i | 0.221961 | + | 0.318111i | ||||
\(400\) | 34.4294 | 1.72147 | ||||||||
\(401\) | 27.1768 | − | 27.1768i | 1.35714 | − | 1.35714i | 0.479727 | − | 0.877418i | \(-0.340736\pi\) |
0.877418 | − | 0.479727i | \(-0.159264\pi\) | |||||||
\(402\) | −3.03342 | + | 17.0386i | −0.151293 | + | 0.849808i | ||||
\(403\) | 36.6596 | + | 36.6596i | 1.82614 | + | 1.82614i | ||||
\(404\) | −6.75360 | + | 6.75360i | −0.336004 | + | 0.336004i | ||||
\(405\) | 2.68426 | + | 2.28278i | 0.133382 | + | 0.113432i | ||||
\(406\) | −7.06193 | + | 7.06193i | −0.350478 | + | 0.350478i | ||||
\(407\) | −12.6195 | −0.625523 | ||||||||
\(408\) | −6.62723 | + | 37.2249i | −0.328097 | + | 1.84291i | ||||
\(409\) | 0.729859 | + | 0.729859i | 0.0360892 | + | 0.0360892i | 0.724921 | − | 0.688832i | \(-0.241876\pi\) |
−0.688832 | + | 0.724921i | \(0.741876\pi\) | |||||||
\(410\) | −2.29739 | − | 2.29739i | −0.113460 | − | 0.113460i | ||||
\(411\) | 3.25382 | − | 18.2766i | 0.160499 | − | 0.901519i | ||||
\(412\) | − | 34.3915i | − | 1.69435i | ||||||
\(413\) | − | 6.69778i | − | 0.329576i | ||||||
\(414\) | −8.91197 | + | 24.2358i | −0.438000 | + | 1.19113i | ||||
\(415\) | − | 2.11945i | − | 0.104040i | ||||||
\(416\) | 22.0251 | + | 22.0251i | 1.07987 | + | 1.07987i | ||||
\(417\) | 0.101804 | + | 0.145904i | 0.00498538 | + | 0.00714497i | ||||
\(418\) | 37.5720i | 1.83771i | ||||||||
\(419\) | 25.5523 | + | 25.5523i | 1.24831 | + | 1.24831i | 0.956465 | + | 0.291847i | \(0.0942697\pi\) |
0.291847 | + | 0.956465i | \(0.405730\pi\) | |||||||
\(420\) | −1.63053 | − | 2.33686i | −0.0795619 | − | 0.114027i | ||||
\(421\) | 4.47729 | − | 4.47729i | 0.218210 | − | 0.218210i | −0.589534 | − | 0.807744i | \(-0.700689\pi\) |
0.807744 | + | 0.589534i | \(0.200689\pi\) | |||||||
\(422\) | 37.1755i | 1.80967i | ||||||||
\(423\) | −10.4307 | + | 28.3660i | −0.507158 | + | 1.37920i | ||||
\(424\) | −10.3886 | −0.504515 | ||||||||
\(425\) | 11.8562 | − | 11.8562i | 0.575108 | − | 0.575108i | ||||
\(426\) | −53.9639 | − | 9.60731i | −2.61456 | − | 0.465476i | ||||
\(427\) | 6.19725 | + | 3.90898i | 0.299906 | + | 0.189169i | ||||
\(428\) | 11.8021i | 0.570477i | ||||||||
\(429\) | 25.0779 | − | 17.4980i | 1.21077 | − | 0.844813i | ||||
\(430\) | 10.4335i | 0.503150i | ||||||||
\(431\) | −13.6495 | −0.657473 | −0.328736 | − | 0.944422i | \(-0.606623\pi\) | ||||
−0.328736 | + | 0.944422i | \(0.606623\pi\) | |||||||
\(432\) | −31.8746 | − | 18.6142i | −1.53357 | − | 0.895575i | ||||
\(433\) | 10.4859 | + | 10.4859i | 0.503922 | + | 0.503922i | 0.912654 | − | 0.408732i | \(-0.134029\pi\) |
−0.408732 | + | 0.912654i | \(0.634029\pi\) | |||||||
\(434\) | 15.3490 | + | 15.3490i | 0.736777 | + | 0.736777i | ||||
\(435\) | −2.32594 | + | 1.62292i | −0.111520 | + | 0.0778130i | ||||
\(436\) | −3.18663 | −0.152612 | ||||||||
\(437\) | −11.4019 | + | 11.4019i | −0.545428 | + | 0.545428i | ||||
\(438\) | 28.8516 | + | 41.3497i | 1.37858 | + | 1.97576i | ||||
\(439\) | −32.6124 | −1.55651 | −0.778253 | − | 0.627951i | \(-0.783894\pi\) | ||||
−0.778253 | + | 0.627951i | \(0.783894\pi\) | |||||||
\(440\) | − | 7.64767i | − | 0.364588i | ||||||
\(441\) | −6.33640 | + | 17.2316i | −0.301733 | + | 0.820553i | ||||
\(442\) | 50.2220 | 2.38882 | ||||||||
\(443\) | 5.66108i | 0.268966i | 0.990916 | + | 0.134483i | \(0.0429374\pi\) | ||||
−0.990916 | + | 0.134483i | \(0.957063\pi\) | |||||||
\(444\) | 25.9367 | − | 18.0972i | 1.23090 | − | 0.858857i | ||||
\(445\) | −4.05292 | + | 4.05292i | −0.192127 | + | 0.192127i | ||||
\(446\) | −43.0264 | −2.03736 | ||||||||
\(447\) | −16.2543 | − | 2.89378i | −0.768801 | − | 0.136871i | ||||
\(448\) | −0.202927 | − | 0.202927i | −0.00958740 | − | 0.00958740i | ||||
\(449\) | 5.75228i | 0.271467i | 0.990745 | + | 0.135733i | \(0.0433390\pi\) | ||||
−0.990745 | + | 0.135733i | \(0.956661\pi\) | |||||||
\(450\) | 15.5303 | + | 33.5943i | 0.732104 | + | 1.58365i | ||||
\(451\) | 7.13611 | − | 7.13611i | 0.336026 | − | 0.336026i | ||||
\(452\) | − | 87.8772i | − | 4.13339i | ||||||
\(453\) | 11.2226 | + | 16.0841i | 0.527286 | + | 0.755698i | ||||
\(454\) | 9.83611i | 0.461631i | ||||||||
\(455\) | −1.48127 | + | 1.48127i | −0.0694429 | + | 0.0694429i | ||||
\(456\) | −29.8218 | − | 42.7402i | −1.39654 | − | 2.00149i | ||||
\(457\) | 3.74026 | − | 3.74026i | 0.174962 | − | 0.174962i | −0.614194 | − | 0.789155i | \(-0.710519\pi\) |
0.789155 | + | 0.614194i | \(0.210519\pi\) | |||||||
\(458\) | 44.3622 | − | 44.3622i | 2.07291 | − | 2.07291i | ||||
\(459\) | −17.3864 | + | 4.56637i | −0.811526 | + | 0.213140i | ||||
\(460\) | 4.19319 | − | 4.19319i | 0.195509 | − | 0.195509i | ||||
\(461\) | − | 29.1895i | − | 1.35949i | −0.733449 | − | 0.679745i | \(-0.762090\pi\) | ||
0.733449 | − | 0.679745i | \(-0.237910\pi\) | |||||||
\(462\) | 10.4999 | − | 7.32627i | 0.488499 | − | 0.340849i | ||||
\(463\) | 16.8600i | 0.783550i | 0.920061 | + | 0.391775i | \(0.128139\pi\) | ||||
−0.920061 | + | 0.391775i | \(0.871861\pi\) | |||||||
\(464\) | 21.0080 | − | 21.0080i | 0.975273 | − | 0.975273i | ||||
\(465\) | 3.52740 | + | 5.05541i | 0.163579 | + | 0.234439i | ||||
\(466\) | − | 15.4863i | − | 0.717388i | ||||||
\(467\) | −14.7420 | − | 14.7420i | −0.682179 | − | 0.682179i | 0.278312 | − | 0.960491i | \(-0.410225\pi\) |
−0.960491 | + | 0.278312i | \(0.910225\pi\) | |||||||
\(468\) | −26.4490 | + | 71.9273i | −1.22261 | + | 3.32484i | ||||
\(469\) | 3.68264 | 0.170049 | ||||||||
\(470\) | 7.09922 | − | 7.09922i | 0.327463 | − | 0.327463i | ||||
\(471\) | −13.8406 | − | 19.8361i | −0.637741 | − | 0.914000i | ||||
\(472\) | 45.0508i | 2.07363i | ||||||||
\(473\) | −32.4085 | −1.49014 | ||||||||
\(474\) | −11.4713 | − | 2.04227i | −0.526896 | − | 0.0938044i | ||||
\(475\) | 23.1110i | 1.06041i | ||||||||
\(476\) | 14.5366 | 0.666282 | ||||||||
\(477\) | −2.07251 | − | 4.48315i | −0.0948937 | − | 0.205269i | ||||
\(478\) | 3.33486 | − | 3.33486i | 0.152533 | − | 0.152533i | ||||
\(479\) | 9.78103 | 0.446907 | 0.223453 | − | 0.974715i | \(-0.428267\pi\) | ||||
0.223453 | + | 0.974715i | \(0.428267\pi\) | |||||||
\(480\) | 2.11926 | + | 3.03729i | 0.0967305 | + | 0.138633i | ||||
\(481\) | −16.4405 | − | 16.4405i | −0.749624 | − | 0.749624i | ||||
\(482\) | 3.96698 | + | 3.96698i | 0.180691 | + | 0.180691i | ||||
\(483\) | 5.40968 | + | 0.963097i | 0.246149 | + | 0.0438224i | ||||
\(484\) | −6.34950 | −0.288614 | ||||||||
\(485\) | 1.37026i | 0.0622205i | ||||||||
\(486\) | 3.78484 | − | 39.4978i | 0.171684 | − | 1.79166i | ||||
\(487\) | − | 6.47579i | − | 0.293446i | −0.989178 | − | 0.146723i | \(-0.953127\pi\) | ||
0.989178 | − | 0.146723i | \(-0.0468726\pi\) | |||||||
\(488\) | −41.6841 | − | 26.2927i | −1.88695 | − | 1.19021i | ||||
\(489\) | 4.20490 | − | 23.6188i | 0.190152 | − | 1.06808i | ||||
\(490\) | 4.31260 | − | 4.31260i | 0.194823 | − | 0.194823i | ||||
\(491\) | −37.2230 | −1.67985 | −0.839926 | − | 0.542701i | \(-0.817402\pi\) | ||||
−0.839926 | + | 0.542701i | \(0.817402\pi\) | |||||||
\(492\) | −4.43309 | + | 24.9005i | −0.199859 | + | 1.12260i | ||||
\(493\) | − | 14.4687i | − | 0.651637i | ||||||
\(494\) | −48.9486 | + | 48.9486i | −2.20230 | + | 2.20230i | ||||
\(495\) | 3.30032 | − | 1.52570i | 0.148338 | − | 0.0685750i | ||||
\(496\) | −45.6607 | − | 45.6607i | −2.05022 | − | 2.05022i | ||||
\(497\) | 11.6635i | 0.523180i | ||||||||
\(498\) | −19.5727 | + | 13.6568i | −0.877073 | + | 0.611975i | ||||
\(499\) | 11.3511 | + | 11.3511i | 0.508146 | + | 0.508146i | 0.913957 | − | 0.405811i | \(-0.133011\pi\) |
−0.405811 | + | 0.913957i | \(0.633011\pi\) | |||||||
\(500\) | − | 17.2675i | − | 0.772227i | ||||||
\(501\) | 4.77599 | + | 0.850279i | 0.213375 | + | 0.0379876i | ||||
\(502\) | − | 65.0330i | − | 2.90256i | ||||||
\(503\) | 11.8424i | 0.528025i | 0.964519 | + | 0.264012i | \(0.0850460\pi\) | ||||
−0.964519 | + | 0.264012i | \(0.914954\pi\) | |||||||
\(504\) | −6.12916 | + | 16.6681i | −0.273015 | + | 0.742454i | ||||
\(505\) | 0.590345 | + | 0.590345i | 0.0262700 | + | 0.0262700i | ||||
\(506\) | 18.8407 | + | 18.8407i | 0.837573 | + | 0.837573i | ||||
\(507\) | 33.2996 | + | 5.92840i | 1.47889 | + | 0.263289i | ||||
\(508\) | 1.68723 | 0.0748585 | ||||||||
\(509\) | −3.15650 | + | 3.15650i | −0.139910 | + | 0.139910i | −0.773593 | − | 0.633683i | \(-0.781542\pi\) |
0.633683 | + | 0.773593i | \(0.281542\pi\) | |||||||
\(510\) | 5.87904 | + | 1.04666i | 0.260328 | + | 0.0463468i | ||||
\(511\) | 7.58649 | − | 7.58649i | 0.335607 | − | 0.335607i | ||||
\(512\) | 35.9592 | + | 35.9592i | 1.58919 | + | 1.58919i | ||||
\(513\) | 12.4949 | − | 21.3961i | 0.551664 | − | 0.944660i | ||||
\(514\) | 17.6869 | − | 17.6869i | 0.780135 | − | 0.780135i | ||||
\(515\) | −3.00623 | −0.132470 | ||||||||
\(516\) | 66.6090 | − | 46.4762i | 2.93230 | − | 2.04600i | ||||
\(517\) | 22.0515 | + | 22.0515i | 0.969823 | + | 0.969823i | ||||
\(518\) | −6.88350 | − | 6.88350i | −0.302444 | − | 0.302444i | ||||
\(519\) | 24.3146 | + | 34.8473i | 1.06729 | + | 1.52963i | ||||
\(520\) | 9.96334 | − | 9.96334i | 0.436921 | − | 0.436921i | ||||
\(521\) | −14.3976 | − | 14.3976i | −0.630768 | − | 0.630768i | 0.317492 | − | 0.948261i | \(-0.397159\pi\) |
−0.948261 | + | 0.317492i | \(0.897159\pi\) | |||||||
\(522\) | 29.9747 | + | 11.0223i | 1.31196 | + | 0.482431i | ||||
\(523\) | −14.5527 | − | 14.5527i | −0.636345 | − | 0.636345i | 0.313307 | − | 0.949652i | \(-0.398563\pi\) |
−0.949652 | + | 0.313307i | \(0.898563\pi\) | |||||||
\(524\) | 45.7882 | 2.00027 | ||||||||
\(525\) | 6.45863 | − | 4.50648i | 0.281878 | − | 0.196679i | ||||
\(526\) | −26.7455 | − | 26.7455i | −1.16616 | − | 1.16616i | ||||
\(527\) | −31.4475 | −1.36988 | ||||||||
\(528\) | −31.2354 | + | 21.7944i | −1.35934 | + | 0.948478i | ||||
\(529\) | − | 11.5649i | − | 0.502820i | ||||||
\(530\) | 1.64070i | 0.0712675i | ||||||||
\(531\) | −19.4414 | + | 8.98756i | −0.843687 | + | 0.390027i | ||||
\(532\) | −14.1680 | + | 14.1680i | −0.614259 | + | 0.614259i | ||||
\(533\) | 18.5938 | 0.805385 | ||||||||
\(534\) | 63.5431 | + | 11.3127i | 2.74978 | + | 0.489549i | ||||
\(535\) | 1.03165 | 0.0446019 | ||||||||
\(536\) | −24.7703 | −1.06991 | ||||||||
\(537\) | 5.58644 | − | 31.3788i | 0.241073 | − | 1.35410i | ||||
\(538\) | −31.9413 | + | 31.9413i | −1.37709 | + | 1.37709i | ||||
\(539\) | 13.3957 | + | 13.3957i | 0.576995 | + | 0.576995i | ||||
\(540\) | −4.59516 | + | 7.86866i | −0.197744 | + | 0.338613i | ||||
\(541\) | 11.6316 | − | 11.6316i | 0.500082 | − | 0.500082i | −0.411382 | − | 0.911463i | \(-0.634954\pi\) |
0.911463 | + | 0.411382i | \(0.134954\pi\) | |||||||
\(542\) | −4.47862 | + | 4.47862i | −0.192373 | + | 0.192373i | ||||
\(543\) | 4.02729 | + | 5.77186i | 0.172828 | + | 0.247694i | ||||
\(544\) | −18.8937 | −0.810059 | ||||||||
\(545\) | 0.278549i | 0.0119317i | ||||||||
\(546\) | 23.2238 | + | 4.13458i | 0.993888 | + | 0.176944i | ||||
\(547\) | 15.0972 | + | 15.0972i | 0.645508 | + | 0.645508i | 0.951904 | − | 0.306396i | \(-0.0991233\pi\) |
−0.306396 | + | 0.951904i | \(0.599123\pi\) | |||||||
\(548\) | 48.0060 | 2.05071 | ||||||||
\(549\) | 3.03057 | − | 23.2339i | 0.129341 | − | 0.991600i | ||||
\(550\) | 38.1891 | 1.62839 | ||||||||
\(551\) | 14.1018 | + | 14.1018i | 0.600757 | + | 0.600757i | ||||
\(552\) | −36.3867 | − | 6.47800i | −1.54872 | − | 0.275722i | ||||
\(553\) | 2.47936i | 0.105433i | ||||||||
\(554\) | 68.5053 | 2.91051 | ||||||||
\(555\) | −1.58191 | − | 2.26718i | −0.0671485 | − | 0.0962362i | ||||
\(556\) | −0.325320 | + | 0.325320i | −0.0137966 | + | 0.0137966i | ||||
\(557\) | 2.45901 | − | 2.45901i | 0.104191 | − | 0.104191i | −0.653089 | − | 0.757281i | \(-0.726527\pi\) |
0.757281 | + | 0.653089i | \(0.226527\pi\) | |||||||
\(558\) | 23.9567 | − | 65.1496i | 1.01417 | − | 2.75800i | ||||
\(559\) | −42.2216 | − | 42.2216i | −1.78578 | − | 1.78578i | ||||
\(560\) | 1.84497 | − | 1.84497i | 0.0779640 | − | 0.0779640i | ||||
\(561\) | −3.25111 | + | 18.2614i | −0.137262 | + | 0.770996i | ||||
\(562\) | −7.58677 | −0.320029 | ||||||||
\(563\) | −25.9000 | −1.09155 | −0.545777 | − | 0.837931i | \(-0.683765\pi\) | ||||
−0.545777 | + | 0.837931i | \(0.683765\pi\) | |||||||
\(564\) | −76.9458 | − | 13.6988i | −3.24000 | − | 0.576824i | ||||
\(565\) | −7.68151 | −0.323164 | ||||||||
\(566\) | −29.4442 | + | 29.4442i | −1.23763 | + | 1.23763i | ||||
\(567\) | −8.41578 | + | 0.680240i | −0.353430 | + | 0.0285674i | ||||
\(568\) | − | 78.4514i | − | 3.29175i | ||||||
\(569\) | − | 27.5132i | − | 1.15341i | −0.816951 | − | 0.576707i | \(-0.804337\pi\) | ||
0.816951 | − | 0.576707i | \(-0.195663\pi\) | |||||||
\(570\) | −6.75008 | + | 4.70985i | −0.282730 | + | 0.197274i | ||||
\(571\) | −10.9419 | −0.457904 | −0.228952 | − | 0.973438i | \(-0.573530\pi\) | ||||
−0.228952 | + | 0.973438i | \(0.573530\pi\) | |||||||
\(572\) | 55.9157 | + | 55.9157i | 2.33795 | + | 2.33795i | ||||
\(573\) | −13.0168 | + | 9.08244i | −0.543785 | + | 0.379424i | ||||
\(574\) | 7.78504 | 0.324941 | ||||||||
\(575\) | 11.5892 | + | 11.5892i | 0.483303 | + | 0.483303i | ||||
\(576\) | −0.316728 | + | 0.861332i | −0.0131970 | + | 0.0358888i | ||||
\(577\) | −9.84224 | − | 9.84224i | −0.409738 | − | 0.409738i | 0.471909 | − | 0.881647i | \(-0.343565\pi\) |
−0.881647 | + | 0.471909i | \(0.843565\pi\) | |||||||
\(578\) | 9.05684 | − | 9.05684i | 0.376715 | − | 0.376715i | ||||
\(579\) | 4.81795 | + | 6.90502i | 0.200227 | + | 0.286963i | ||||
\(580\) | −5.18611 | − | 5.18611i | −0.215341 | − | 0.215341i | ||||
\(581\) | 3.59103 | + | 3.59103i | 0.148981 | + | 0.148981i | ||||
\(582\) | 12.6541 | − | 8.82936i | 0.524530 | − | 0.365989i | ||||
\(583\) | −5.09632 | −0.211068 | ||||||||
\(584\) | −51.0284 | + | 51.0284i | −2.11157 | + | 2.11157i | ||||
\(585\) | 6.28730 | + | 2.31196i | 0.259948 | + | 0.0955878i | ||||
\(586\) | −31.4155 | − | 31.4155i | −1.29776 | − | 1.29776i | ||||
\(587\) | 21.8048 | − | 21.8048i | 0.899982 | − | 0.899982i | −0.0954525 | − | 0.995434i | \(-0.530430\pi\) |
0.995434 | + | 0.0954525i | \(0.0304298\pi\) | |||||||
\(588\) | −46.7427 | − | 8.32169i | −1.92763 | − | 0.343181i | ||||
\(589\) | 30.6501 | − | 30.6501i | 1.26292 | − | 1.26292i | ||||
\(590\) | 7.11500 | 0.292920 | ||||||||
\(591\) | 32.3353 | + | 5.75672i | 1.33010 | + | 0.236800i | ||||
\(592\) | 20.4772 | + | 20.4772i | 0.841609 | + | 0.841609i | ||||
\(593\) | −10.2435 | − | 10.2435i | −0.420652 | − | 0.420652i | 0.464776 | − | 0.885428i | \(-0.346135\pi\) |
−0.885428 | + | 0.464776i | \(0.846135\pi\) | |||||||
\(594\) | −35.3553 | − | 20.6468i | −1.45064 | − | 0.847150i | ||||
\(595\) | − | 1.27067i | − | 0.0520923i | ||||||
\(596\) | − | 42.6940i | − | 1.74881i | ||||||
\(597\) | 23.7027 | + | 4.21984i | 0.970087 | + | 0.172707i | ||||
\(598\) | 49.0912i | 2.00749i | ||||||||
\(599\) | −6.59437 | − | 6.59437i | −0.269439 | − | 0.269439i | 0.559435 | − | 0.828874i | \(-0.311018\pi\) |
−0.828874 | + | 0.559435i | \(0.811018\pi\) | |||||||
\(600\) | −43.4422 | + | 30.3116i | −1.77352 | + | 1.23747i | ||||
\(601\) | − | 3.74917i | − | 0.152932i | −0.997072 | − | 0.0764659i | \(-0.975636\pi\) | ||
0.997072 | − | 0.0764659i | \(-0.0243636\pi\) | |||||||
\(602\) | −17.6778 | − | 17.6778i | −0.720493 | − | 0.720493i | ||||
\(603\) | −4.94163 | − | 10.6895i | −0.201239 | − | 0.435310i | ||||
\(604\) | −35.8624 | + | 35.8624i | −1.45922 | + | 1.45922i | ||||
\(605\) | 0.555022i | 0.0225648i | ||||||||
\(606\) | 1.64780 | − | 9.25563i | 0.0669372 | − | 0.375984i | ||||
\(607\) | 29.6866 | 1.20494 | 0.602472 | − | 0.798140i | \(-0.294183\pi\) | ||||
0.602472 | + | 0.798140i | \(0.294183\pi\) | |||||||
\(608\) | 18.4146 | − | 18.4146i | 0.746810 | − | 0.746810i | ||||
\(609\) | 1.19115 | − | 6.69065i | 0.0482678 | − | 0.271119i | ||||
\(610\) | −4.15248 | + | 6.58329i | −0.168129 | + | 0.266550i | ||||
\(611\) | 57.4571i | 2.32446i | ||||||||
\(612\) | −19.5062 | − | 42.1949i | −0.788491 | − | 1.70563i | ||||
\(613\) | 8.28921i | 0.334798i | 0.985889 | + | 0.167399i | \(0.0535368\pi\) | ||||
−0.985889 | + | 0.167399i | \(0.946463\pi\) | |||||||
\(614\) | −1.65804 | −0.0669130 | ||||||||
\(615\) | 2.17660 | + | 0.387505i | 0.0877691 | + | 0.0156257i | ||||
\(616\) | 12.9576 | + | 12.9576i | 0.522078 | + | 0.522078i | ||||
\(617\) | −27.3790 | − | 27.3790i | −1.10224 | − | 1.10224i | −0.994140 | − | 0.108097i | \(-0.965524\pi\) |
−0.108097 | − | 0.994140i | \(-0.534476\pi\) | |||||||
\(618\) | 19.3708 | + | 27.7619i | 0.779206 | + | 1.11675i | ||||
\(619\) | 40.3793 | 1.62298 | 0.811491 | − | 0.584365i | \(-0.198656\pi\) | ||||
0.811491 | + | 0.584365i | \(0.198656\pi\) | |||||||
\(620\) | −11.2719 | + | 11.2719i | −0.452692 | + | 0.452692i | ||||
\(621\) | −4.46354 | − | 16.9949i | −0.179116 | − | 0.681981i | ||||
\(622\) | −31.7165 | −1.27172 | ||||||||
\(623\) | − | 13.7339i | − | 0.550238i | ||||||
\(624\) | −69.0868 | − | 12.2997i | −2.76569 | − | 0.492381i | ||||
\(625\) | 22.7242 | 0.908967 | ||||||||
\(626\) | − | 21.8212i | − | 0.872150i | ||||||
\(627\) | −14.6297 | − | 20.9670i | −0.584252 | − | 0.837341i | ||||
\(628\) | 44.2282 | − | 44.2282i | 1.76490 | − | 1.76490i | ||||
\(629\) | 14.1031 | 0.562328 | ||||||||
\(630\) | 2.63243 | + | 0.967996i | 0.104879 | + | 0.0385659i | ||||
\(631\) | 20.0011 | + | 20.0011i | 0.796232 | + | 0.796232i | 0.982499 | − | 0.186267i | \(-0.0596390\pi\) |
−0.186267 | + | 0.982499i | \(0.559639\pi\) | |||||||
\(632\) | − | 16.6767i | − | 0.663365i | ||||||
\(633\) | −14.4752 | − | 20.7457i | −0.575339 | − | 0.824568i | ||||
\(634\) | 0.535047 | − | 0.535047i | 0.0212494 | − | 0.0212494i | ||||
\(635\) | − | 0.147484i | − | 0.00585271i | ||||||
\(636\) | 10.4744 | − | 7.30851i | 0.415339 | − | 0.289801i | ||||
\(637\) | 34.9037i | 1.38294i | ||||||||
\(638\) | 23.3021 | − | 23.3021i | 0.922538 | − | 0.922538i | ||||
\(639\) | 33.8553 | − | 15.6509i | 1.33930 | − | 0.619141i | ||||
\(640\) | 3.23951 | − | 3.23951i | 0.128053 | − | 0.128053i | ||||
\(641\) | −2.82884 | + | 2.82884i | −0.111733 | + | 0.111733i | −0.760763 | − | 0.649030i | \(-0.775175\pi\) |
0.649030 | + | 0.760763i | \(0.275175\pi\) | |||||||
\(642\) | −6.64746 | − | 9.52704i | −0.262354 | − | 0.376002i | ||||
\(643\) | −1.77447 | + | 1.77447i | −0.0699784 | + | 0.0699784i | −0.741230 | − | 0.671251i | \(-0.765757\pi\) |
0.671251 | + | 0.741230i | \(0.265757\pi\) | |||||||
\(644\) | 14.2092i | 0.559923i | ||||||||
\(645\) | −4.06257 | − | 5.82242i | −0.159964 | − | 0.229257i | ||||
\(646\) | − | 41.9893i | − | 1.65205i | ||||||
\(647\) | 20.6640 | − | 20.6640i | 0.812384 | − | 0.812384i | −0.172607 | − | 0.984991i | \(-0.555219\pi\) |
0.984991 | + | 0.172607i | \(0.0552191\pi\) | |||||||
\(648\) | 56.6064 | − | 4.57545i | 2.22371 | − | 0.179741i | ||||
\(649\) | 22.1005i | 0.867520i | ||||||||
\(650\) | 49.7525 | + | 49.7525i | 1.95145 | + | 1.95145i | ||||
\(651\) | −14.5420 | − | 2.58895i | −0.569948 | − | 0.101469i | ||||
\(652\) | 62.0379 | 2.42959 | ||||||||
\(653\) | −27.3691 | + | 27.3691i | −1.07104 | + | 1.07104i | −0.0737597 | + | 0.997276i | \(0.523500\pi\) |
−0.997276 | + | 0.0737597i | \(0.976500\pi\) | |||||||
\(654\) | 2.57234 | − | 1.79484i | 0.100587 | − | 0.0701840i | ||||
\(655\) | − | 4.00243i | − | 0.156388i | ||||||
\(656\) | −23.1591 | −0.904212 | ||||||||
\(657\) | −32.2012 | − | 11.8410i | −1.25629 | − | 0.461961i | ||||
\(658\) | 24.0567i | 0.937829i | ||||||||
\(659\) | −50.7738 | −1.97787 | −0.988933 | − | 0.148361i | \(-0.952600\pi\) | ||||
−0.988933 | + | 0.148361i | \(0.952600\pi\) | |||||||
\(660\) | 5.38023 | + | 7.71086i | 0.209425 | + | 0.300145i | ||||
\(661\) | −32.6307 | + | 32.6307i | −1.26919 | + | 1.26919i | −0.322681 | + | 0.946508i | \(0.604584\pi\) |
−0.946508 | + | 0.322681i | \(0.895416\pi\) | |||||||
\(662\) | −28.0680 | −1.09089 | ||||||||
\(663\) | −28.0263 | + | 19.5553i | −1.08845 | + | 0.759464i | ||||
\(664\) | −24.1541 | − | 24.1541i | −0.937360 | − | 0.937360i | ||||
\(665\) | 1.23845 | + | 1.23845i | 0.0480250 | + | 0.0480250i | ||||
\(666\) | −10.7438 | + | 29.2173i | −0.416312 | + | 1.13215i | ||||
\(667\) | 14.1429 | 0.547615 | ||||||||
\(668\) | 12.5448i | 0.485371i | ||||||||
\(669\) | 24.0108 | − | 16.7535i | 0.928312 | − | 0.647727i | ||||
\(670\) | 3.91204i | 0.151135i | ||||||||
\(671\) | −20.4489 | − | 12.8984i | −0.789422 | − | 0.497936i | ||||
\(672\) | −8.73686 | − | 1.55544i | −0.337032 | − | 0.0600024i | ||||
\(673\) | −18.6326 | + | 18.6326i | −0.718235 | + | 0.718235i | −0.968244 | − | 0.250009i | \(-0.919566\pi\) |
0.250009 | + | 0.968244i | \(0.419566\pi\) | |||||||
\(674\) | 64.3036 | 2.47688 | ||||||||
\(675\) | −21.7475 | − | 12.7001i | −0.837061 | − | 0.488829i | ||||
\(676\) | 87.4659i | 3.36407i | ||||||||
\(677\) | −17.7167 | + | 17.7167i | −0.680907 | + | 0.680907i | −0.960205 | − | 0.279298i | \(-0.909898\pi\) |
0.279298 | + | 0.960205i | \(0.409898\pi\) | |||||||
\(678\) | 49.4962 | + | 70.9372i | 1.90089 | + | 2.72433i | ||||
\(679\) | −2.32167 | − | 2.32167i | −0.0890975 | − | 0.0890975i | ||||
\(680\) | 8.54680i | 0.327755i | ||||||||
\(681\) | −3.82995 | − | 5.48903i | −0.146764 | − | 0.210340i | ||||
\(682\) | −50.6468 | − | 50.6468i | −1.93937 | − | 1.93937i | ||||
\(683\) | − | 20.8306i | − | 0.797060i | −0.917155 | − | 0.398530i | \(-0.869521\pi\) | ||
0.917155 | − | 0.398530i | \(-0.130479\pi\) | |||||||
\(684\) | 60.1365 | + | 22.1133i | 2.29938 | + | 0.845525i | ||||
\(685\) | − | 4.19629i | − | 0.160332i | ||||||
\(686\) | 31.3294i | 1.19616i | ||||||||
\(687\) | −7.48267 | + | 42.0299i | −0.285481 | + | 1.60354i | ||||
\(688\) | 52.5883 | + | 52.5883i | 2.00491 | + | 2.00491i | ||||
\(689\) | −6.63946 | − | 6.63946i | −0.252943 | − | 0.252943i | ||||
\(690\) | −1.02309 | + | 5.74666i | −0.0389484 | + | 0.218772i | ||||
\(691\) | 10.8802 | 0.413903 | 0.206951 | − | 0.978351i | \(-0.433646\pi\) | ||||
0.206951 | + | 0.978351i | \(0.433646\pi\) | |||||||
\(692\) | −77.6982 | + | 77.6982i | −2.95364 | + | 2.95364i | ||||
\(693\) | −3.00678 | + | 8.17683i | −0.114218 | + | 0.310612i | ||||
\(694\) | 11.0339 | − | 11.0339i | 0.418842 | − | 0.418842i | ||||
\(695\) | 0.0284368 | + | 0.0284368i | 0.00107867 | + | 0.00107867i | ||||
\(696\) | −8.01194 | + | 45.0028i | −0.303692 | + | 1.70583i | ||||
\(697\) | −7.97510 | + | 7.97510i | −0.302079 | + | 0.302079i | ||||
\(698\) | −61.9767 | −2.34585 | ||||||||
\(699\) | 6.02999 | + | 8.64210i | 0.228075 | + | 0.326874i | ||||
\(700\) | 14.4007 | + | 14.4007i | 0.544294 | + | 0.544294i | ||||
\(701\) | 15.6679 | + | 15.6679i | 0.591767 | + | 0.591767i | 0.938109 | − | 0.346341i | \(-0.112576\pi\) |
−0.346341 | + | 0.938109i | \(0.612576\pi\) | |||||||
\(702\) | −19.1620 | − | 72.9592i | −0.723225 | − | 2.75367i | ||||
\(703\) | −13.7455 | + | 13.7455i | −0.518422 | + | 0.518422i | ||||
\(704\) | 0.669593 | + | 0.669593i | 0.0252362 | + | 0.0252362i | ||||
\(705\) | −1.19744 | + | 6.72598i | −0.0450982 | + | 0.253315i | ||||
\(706\) | −5.01244 | − | 5.01244i | −0.188646 | − | 0.188646i | ||||
\(707\) | −2.00047 | −0.0752354 | ||||||||
\(708\) | −31.6938 | − | 45.4230i | −1.19112 | − | 1.70710i | ||||
\(709\) | −6.32954 | − | 6.32954i | −0.237711 | − | 0.237711i | 0.578191 | − | 0.815902i | \(-0.303759\pi\) |
−0.815902 | + | 0.578191i | \(0.803759\pi\) | |||||||
\(710\) | −12.3901 | −0.464991 | ||||||||
\(711\) | 7.19677 | − | 3.32699i | 0.269900 | − | 0.124772i | ||||
\(712\) | 92.3775i | 3.46199i | ||||||||
\(713\) | − | 30.7394i | − | 1.15120i | ||||||
\(714\) | −11.7344 | + | 8.18762i | −0.439148 | + | 0.306414i | ||||
\(715\) | 4.88770 | − | 4.88770i | 0.182790 | − | 0.182790i | ||||
\(716\) | 82.4206 | 3.08020 | ||||||||
\(717\) | −0.562497 | + | 3.15953i | −0.0210068 | + | 0.117995i | ||||
\(718\) | 1.11755 | 0.0417065 | ||||||||
\(719\) | −10.6871 | −0.398562 | −0.199281 | − | 0.979942i | \(-0.563861\pi\) | ||||
−0.199281 | + | 0.979942i | \(0.563861\pi\) | |||||||
\(720\) | −7.83103 | − | 2.87962i | −0.291845 | − | 0.107317i | ||||
\(721\) | 5.09352 | − | 5.09352i | 0.189692 | − | 0.189692i | ||||
\(722\) | 6.72718 | + | 6.72718i | 0.250360 | + | 0.250360i | ||||
\(723\) | −3.75841 | − | 0.669118i | −0.139777 | − | 0.0248848i | ||||
\(724\) | −12.8694 | + | 12.8694i | −0.478287 | + | 0.478287i | ||||
\(725\) | 14.3334 | − | 14.3334i | 0.532330 | − | 0.532330i | ||||
\(726\) | 5.12551 | − | 3.57631i | 0.190226 | − | 0.132729i | ||||
\(727\) | −2.70797 | −0.100433 | −0.0502166 | − | 0.998738i | \(-0.515991\pi\) | ||||
−0.0502166 | + | 0.998738i | \(0.515991\pi\) | |||||||
\(728\) | 33.7622i | 1.25131i | ||||||||
\(729\) | 13.2674 | + | 23.5154i | 0.491385 | + | 0.870942i | ||||
\(730\) | 8.05907 | + | 8.05907i | 0.298280 | + | 0.298280i | ||||
\(731\) | 36.2187 | 1.33960 | ||||||||
\(732\) | 60.5258 | − | 2.81534i | 2.23710 | − | 0.104058i | ||||
\(733\) | 32.0011 | 1.18199 | 0.590993 | − | 0.806677i | \(-0.298736\pi\) | ||||
0.590993 | + | 0.806677i | \(0.298736\pi\) | |||||||
\(734\) | 33.5380 | + | 33.5380i | 1.23791 | + | 1.23791i | ||||
\(735\) | −0.727415 | + | 4.08586i | −0.0268311 | + | 0.150709i | ||||
\(736\) | − | 18.4682i | − | 0.680748i | ||||||
\(737\) | −12.1515 | −0.447607 | ||||||||
\(738\) | −10.4465 | − | 22.5974i | −0.384542 | − | 0.831822i | ||||
\(739\) | −27.6875 | + | 27.6875i | −1.01850 | + | 1.01850i | −0.0186742 | + | 0.999826i | \(0.505945\pi\) |
−0.999826 | + | 0.0186742i | \(0.994055\pi\) | |||||||
\(740\) | 5.05507 | − | 5.05507i | 0.185828 | − | 0.185828i | ||||
\(741\) | 8.25625 | − | 46.3751i | 0.303301 | − | 1.70363i | ||||
\(742\) | −2.77988 | − | 2.77988i | −0.102053 | − | 0.102053i | ||||
\(743\) | −13.6537 | + | 13.6537i | −0.500906 | + | 0.500906i | −0.911719 | − | 0.410814i | \(-0.865245\pi\) |
0.410814 | + | 0.911719i | \(0.365245\pi\) | |||||||
\(744\) | 97.8131 | + | 17.4139i | 3.58600 | + | 0.638423i | ||||
\(745\) | −3.73196 | −0.136729 | ||||||||
\(746\) | −7.65148 | −0.280141 | ||||||||
\(747\) | 5.60488 | − | 15.2423i | 0.205072 | − | 0.557686i | ||||
\(748\) | −47.9659 | −1.75381 | ||||||||
\(749\) | −1.74794 | + | 1.74794i | −0.0638684 | + | 0.0638684i | ||||
\(750\) | 9.72581 | + | 13.9389i | 0.355136 | + | 0.508976i | ||||
\(751\) | 24.2558i | 0.885107i | 0.896742 | + | 0.442554i | \(0.145927\pi\) | ||||
−0.896742 | + | 0.442554i | \(0.854073\pi\) | |||||||
\(752\) | − | 71.5646i | − | 2.60969i | ||||||
\(753\) | 25.3223 | + | 36.2916i | 0.922797 | + | 1.32254i | ||||
\(754\) | 60.7156 | 2.21113 | ||||||||
\(755\) | 3.13480 | + | 3.13480i | 0.114087 | + | 0.114087i | ||||
\(756\) | −5.54637 | − | 21.1177i | −0.201720 | − | 0.768045i | ||||
\(757\) | −19.7288 | −0.717055 | −0.358527 | − | 0.933519i | \(-0.616721\pi\) | ||||
−0.358527 | + | 0.933519i | \(0.616721\pi\) | |||||||
\(758\) | −41.4686 | − | 41.4686i | −1.50621 | − | 1.50621i | ||||
\(759\) | −17.8502 | − | 3.17791i | −0.647921 | − | 0.115351i | ||||
\(760\) | −8.33008 | − | 8.33008i | −0.302164 | − | 0.302164i | ||||
\(761\) | 18.7714 | − | 18.7714i | 0.680464 | − | 0.680464i | −0.279641 | − | 0.960105i | \(-0.590215\pi\) |
0.960105 | + | 0.279641i | \(0.0902153\pi\) | |||||||
\(762\) | −1.36198 | + | 0.950317i | −0.0493393 | + | 0.0344264i | ||||
\(763\) | −0.471952 | − | 0.471952i | −0.0170858 | − | 0.0170858i | ||||
\(764\) | −29.0233 | − | 29.0233i | −1.05003 | − | 1.05003i | ||||
\(765\) | −3.68833 | + | 1.70507i | −0.133352 | + | 0.0616471i | ||||
\(766\) | 37.3664 | 1.35010 | ||||||||
\(767\) | −28.7924 | + | 28.7924i | −1.03963 | + | 1.03963i | ||||
\(768\) | −49.7469 | − | 8.85655i | −1.79509 | − | 0.319583i | ||||
\(769\) | −12.2389 | − | 12.2389i | −0.441347 | − | 0.441347i | 0.451118 | − | 0.892464i | \(-0.351025\pi\) |
−0.892464 | + | 0.451118i | \(0.851025\pi\) | |||||||
\(770\) | 2.04643 | − | 2.04643i | 0.0737484 | − | 0.0737484i | ||||
\(771\) | −2.98328 | + | 16.7570i | −0.107440 | + | 0.603488i | ||||
\(772\) | −15.3960 | + | 15.3960i | −0.554113 | + | 0.554113i | ||||
\(773\) | 14.0621 | 0.505780 | 0.252890 | − | 0.967495i | \(-0.418619\pi\) | ||||
0.252890 | + | 0.967495i | \(0.418619\pi\) | |||||||
\(774\) | −27.5915 | + | 75.0341i | −0.991755 | + | 2.69704i | ||||
\(775\) | −31.1535 | − | 31.1535i | −1.11907 | − | 1.11907i | ||||
\(776\) | 15.6161 | + | 15.6161i | 0.560584 | + | 0.560584i | ||||
\(777\) | 6.52160 | + | 1.16105i | 0.233961 | + | 0.0416526i | ||||
\(778\) | − | 71.2175i | − | 2.55327i | ||||||
\(779\) | − | 15.5458i | − | 0.556985i | ||||||
\(780\) | −3.03634 | + | 17.0550i | −0.108718 | + | 0.610667i | ||||
\(781\) | − | 38.4858i | − | 1.37713i | ||||||
\(782\) | −21.0558 | − | 21.0558i | −0.752955 | − | 0.752955i | ||||
\(783\) | −21.0191 | + | 5.52047i | −0.751162 | + | 0.197286i | ||||
\(784\) | − | 43.4737i | − | 1.55263i | ||||||
\(785\) | −3.86607 | − | 3.86607i | −0.137986 | − | 0.137986i | ||||
\(786\) | −36.9616 | + | 25.7899i | −1.31838 | + | 0.919894i | ||||
\(787\) | 7.07183 | − | 7.07183i | 0.252084 | − | 0.252084i | −0.569741 | − | 0.821824i | \(-0.692956\pi\) |
0.821824 | + | 0.569741i | \(0.192956\pi\) | |||||||
\(788\) | 84.9330i | 3.02561i | ||||||||
\(789\) | 25.3394 | + | 4.51122i | 0.902106 | + | 0.160604i | ||||
\(790\) | −2.63381 | −0.0937066 | ||||||||
\(791\) | 13.0150 | − | 13.0150i | 0.462759 | − | 0.462759i | ||||
\(792\) | 20.2242 | − | 54.9992i | 0.718637 | − | 1.95431i | ||||
\(793\) | −9.83681 | − | 43.4446i | −0.349315 | − | 1.54276i | ||||
\(794\) | − | 24.1437i | − | 0.856827i | ||||||
\(795\) | −0.638851 | − | 0.915591i | −0.0226577 | − | 0.0324727i | ||||
\(796\) | 62.2583i | 2.20669i | ||||||||
\(797\) | 27.0167 | 0.956982 | 0.478491 | − | 0.878092i | \(-0.341184\pi\) | ||||
0.478491 | + | 0.878092i | \(0.341184\pi\) | |||||||
\(798\) | 3.45682 | − | 19.4168i | 0.122370 | − | 0.687348i | ||||
\(799\) | −24.6441 | − | 24.6441i | −0.871844 | − | 0.871844i | ||||
\(800\) | −18.7170 | − | 18.7170i | −0.661746 | − | 0.661746i | ||||
\(801\) | −39.8651 | + | 18.4292i | −1.40856 | + | 0.651162i | ||||
\(802\) | −97.8292 | −3.45447 | ||||||||
\(803\) | −25.0330 | + | 25.0330i | −0.883394 | + | 0.883394i | ||||
\(804\) | 24.9750 | − | 17.4262i | 0.880799 | − | 0.614575i | ||||
\(805\) | 1.24206 | 0.0437768 | ||||||||
\(806\) | − | 131.965i | − | 4.64825i | ||||||
\(807\) | 5.38761 | − | 30.2620i | 0.189653 | − | 1.06527i | ||||
\(808\) | 13.4556 | 0.473366 | ||||||||
\(809\) | − | 23.0766i | − | 0.811331i | −0.914022 | − | 0.405666i | \(-0.867040\pi\) | ||
0.914022 | − | 0.405666i | \(-0.132960\pi\) | |||||||
\(810\) | −0.722614 | − | 8.94002i | −0.0253901 | − | 0.314120i | ||||
\(811\) | −22.0359 | + | 22.0359i | −0.773784 | + | 0.773784i | −0.978766 | − | 0.204982i | \(-0.934286\pi\) |
0.204982 | + | 0.978766i | \(0.434286\pi\) | |||||||
\(812\) | 17.5739 | 0.616722 | ||||||||
\(813\) | 0.755417 | − | 4.24315i | 0.0264936 | − | 0.148814i | ||||
\(814\) | 22.7133 | + | 22.7133i | 0.796101 | + | 0.796101i | ||||
\(815\) | − | 5.42285i | − | 0.189954i | ||||||
\(816\) | 34.9077 | − | 24.3567i | 1.22201 | − | 0.852656i | ||||
\(817\) | −35.3003 | + | 35.3003i | −1.23500 | + | 1.23500i | ||||
\(818\) | − | 2.62729i | − | 0.0918612i | ||||||
\(819\) | −14.5699 | + | 6.73551i | −0.509114 | + | 0.235358i | ||||
\(820\) | 5.71714i | 0.199651i | ||||||||
\(821\) | −10.6019 | + | 10.6019i | −0.370008 | + | 0.370008i | −0.867480 | − | 0.497472i | \(-0.834262\pi\) |
0.497472 | + | 0.867480i | \(0.334262\pi\) | |||||||
\(822\) | −38.7519 | + | 27.0390i | −1.35163 | + | 0.943094i | ||||
\(823\) | 14.8138 | − | 14.8138i | 0.516378 | − | 0.516378i | −0.400095 | − | 0.916474i | \(-0.631023\pi\) |
0.916474 | + | 0.400095i | \(0.131023\pi\) | |||||||
\(824\) | −34.2601 | + | 34.2601i | −1.19351 | + | 1.19351i | ||||
\(825\) | −21.3114 | + | 14.8699i | −0.741966 | + | 0.517705i | ||||
\(826\) | −12.0551 | + | 12.0551i | −0.419451 | + | 0.419451i | ||||
\(827\) | − | 22.6006i | − | 0.785900i | −0.919560 | − | 0.392950i | \(-0.871455\pi\) | ||
0.919560 | − | 0.392950i | \(-0.128545\pi\) | |||||||
\(828\) | 41.2448 | − | 19.0670i | 1.43335 | − | 0.662623i | ||||
\(829\) | − | 24.1669i | − | 0.839351i | −0.907674 | − | 0.419676i | \(-0.862144\pi\) | ||
0.907674 | − | 0.419676i | \(-0.137856\pi\) | |||||||
\(830\) | −3.81472 | + | 3.81472i | −0.132411 | + | 0.132411i | ||||
\(831\) | −38.2293 | + | 26.6744i | −1.32616 | + | 0.925323i | ||||
\(832\) | 1.74468i | 0.0604860i | ||||||||
\(833\) | −14.9707 | − | 14.9707i | −0.518703 | − | 0.518703i | ||||
\(834\) | 0.0793742 | − | 0.445842i | 0.00274850 | − | 0.0154383i | ||||
\(835\) | 1.09656 | 0.0379481 | ||||||||
\(836\) | 46.7497 | − | 46.7497i | 1.61687 | − | 1.61687i | ||||
\(837\) | 11.9987 | + | 45.6848i | 0.414735 | + | 1.57910i | ||||
\(838\) | − | 91.9814i | − | 3.17745i | ||||||
\(839\) | 0.560283 | 0.0193431 | 0.00967157 | − | 0.999953i | \(-0.496921\pi\) | ||||
0.00967157 | + | 0.999953i | \(0.496921\pi\) | |||||||
\(840\) | −0.703625 | + | 3.95224i | −0.0242774 | + | 0.136365i | ||||
\(841\) | 11.5082i | 0.396834i | ||||||||
\(842\) | −16.1170 | −0.555429 | ||||||||
\(843\) | 4.23379 | − | 2.95411i | 0.145819 | − | 0.101745i | ||||
\(844\) | 46.2563 | − | 46.2563i | 1.59221 | − | 1.59221i | ||||
\(845\) | 7.64556 | 0.263015 | ||||||||
\(846\) | 69.8288 | − | 32.2810i | 2.40076 | − | 1.10985i | ||||
\(847\) | −0.940386 | − | 0.940386i | −0.0323121 | − | 0.0323121i | ||||
\(848\) | 8.26966 | + | 8.26966i | 0.283981 | + | 0.283981i | ||||
\(849\) | 4.96641 | − | 27.8961i | 0.170447 | − | 0.957393i | ||||
\(850\) | −42.6790 | −1.46388 | ||||||||
\(851\) | 13.7856i | 0.472563i | ||||||||
\(852\) | 55.1915 | + | 79.0997i | 1.89083 | + | 2.70991i | ||||
\(853\) | − | 6.52640i | − | 0.223460i | −0.993739 | − | 0.111730i | \(-0.964361\pi\) | ||
0.993739 | − | 0.111730i | \(-0.0356391\pi\) | |||||||
\(854\) | −4.11858 | − | 18.1899i | −0.140935 | − | 0.622444i | ||||
\(855\) | 1.93297 | − | 5.25665i | 0.0661062 | − | 0.179774i | ||||
\(856\) | 11.7570 | − | 11.7570i | 0.401847 | − | 0.401847i | ||||
\(857\) | −4.00200 | −0.136706 | −0.0683528 | − | 0.997661i | \(-0.521774\pi\) | ||||
−0.0683528 | + | 0.997661i | \(0.521774\pi\) | |||||||
\(858\) | −76.6310 | − | 13.6428i | −2.61614 | − | 0.465757i | ||||
\(859\) | 16.5497i | 0.564668i | 0.959316 | + | 0.282334i | \(0.0911087\pi\) | ||||
−0.959316 | + | 0.282334i | \(0.908891\pi\) | |||||||
\(860\) | 12.9821 | − | 12.9821i | 0.442687 | − | 0.442687i | ||||
\(861\) | −4.34443 | + | 3.03131i | −0.148058 | + | 0.103307i | ||||
\(862\) | 24.5673 | + | 24.5673i | 0.836764 | + | 0.836764i | ||||
\(863\) | 53.0063i | 1.80436i | 0.431364 | + | 0.902178i | \(0.358033\pi\) | ||||
−0.431364 | + | 0.902178i | \(0.641967\pi\) | |||||||
\(864\) | 7.20881 | + | 27.4474i | 0.245249 | + | 0.933780i | ||||
\(865\) | 6.79175 | + | 6.79175i | 0.230926 | + | 0.230926i | ||||
\(866\) | − | 37.7466i | − | 1.28268i | ||||||
\(867\) | −1.52763 | + | 8.58067i | −0.0518812 | + | 0.291415i | ||||
\(868\) | − | 38.1966i | − | 1.29648i | ||||||
\(869\) | − | 8.18109i | − | 0.277524i | ||||||
\(870\) | 7.10742 | + | 1.26535i | 0.240964 | + | 0.0428994i | ||||
\(871\) | −15.8309 | − | 15.8309i | −0.536411 | − | 0.536411i | ||||
\(872\) | 3.17446 | + | 3.17446i | 0.107501 | + | 0.107501i | ||||
\(873\) | −3.62366 | + | 9.85443i | −0.122642 | + | 0.333522i | ||||
\(874\) | 41.0439 | 1.38833 | ||||||||
\(875\) | 2.55739 | − | 2.55739i | 0.0864556 | − | 0.0864556i | ||||
\(876\) | 15.5510 | − | 87.3492i | 0.525418 | − | 2.95126i | ||||
\(877\) | −29.8526 | + | 29.8526i | −1.00805 | + | 1.00805i | −0.00808257 | + | 0.999967i | \(0.502573\pi\) |
−0.999967 | + | 0.00808257i | \(0.997427\pi\) | |||||||
\(878\) | 58.6980 | + | 58.6980i | 1.98096 | + | 1.98096i | ||||
\(879\) | 29.7638 | + | 5.29891i | 1.00391 | + | 0.178728i | ||||
\(880\) | −6.08779 | + | 6.08779i | −0.205219 | + | 0.205219i | ||||
\(881\) | 54.4998 | 1.83615 | 0.918073 | − | 0.396411i | \(-0.129744\pi\) | ||||
0.918073 | + | 0.396411i | \(0.129744\pi\) | |||||||
\(882\) | 42.4193 | − | 19.6099i | 1.42833 | − | 0.660301i | ||||
\(883\) | 19.7637 | + | 19.7637i | 0.665101 | + | 0.665101i | 0.956578 | − | 0.291477i | \(-0.0941466\pi\) |
−0.291477 | + | 0.956578i | \(0.594147\pi\) | |||||||
\(884\) | −62.4897 | − | 62.4897i | −2.10176 | − | 2.10176i | ||||
\(885\) | −3.97051 | + | 2.77041i | −0.133467 | + | 0.0931264i | ||||
\(886\) | 10.1892 | − | 10.1892i | 0.342313 | − | 0.342313i | ||||
\(887\) | 1.50534 | + | 1.50534i | 0.0505442 | + | 0.0505442i | 0.731927 | − | 0.681383i | \(-0.238621\pi\) |
−0.681383 | + | 0.731927i | \(0.738621\pi\) | |||||||
\(888\) | −43.8658 | − | 7.80951i | −1.47204 | − | 0.262070i | ||||
\(889\) | 0.249885 | + | 0.249885i | 0.00838087 | + | 0.00838087i | ||||
\(890\) | 14.5894 | 0.489039 | ||||||||
\(891\) | 27.7693 | − | 2.24457i | 0.930308 | − | 0.0751960i | ||||
\(892\) | 53.5364 | + | 53.5364i | 1.79253 | + | 1.79253i | ||||
\(893\) | 48.0383 | 1.60754 | ||||||||
\(894\) | 24.0471 | + | 34.4639i | 0.804255 | + | 1.15265i | ||||
\(895\) | − | 7.20454i | − | 0.240821i | ||||||
\(896\) | 10.9776i | 0.366735i | ||||||||
\(897\) | −19.1150 | − | 27.3953i | −0.638230 | − | 0.914701i | ||||
\(898\) | 10.3533 | − | 10.3533i | 0.345495 | − | 0.345495i | ||||
\(899\) | −38.0182 | −1.26798 | ||||||||
\(900\) | 22.4765 | − | 61.1242i | 0.749218 | − | 2.03747i | ||||
\(901\) | 5.69549 | 0.189744 | ||||||||
\(902\) | −25.6881 | −0.855320 | ||||||||
\(903\) | 16.7484 | + | 2.98175i | 0.557351 | + | 0.0992263i | ||||
\(904\) | −87.5415 | + | 87.5415i | −2.91159 | + | 2.91159i | ||||
\(905\) | 1.12494 | + | 1.12494i | 0.0373942 | + | 0.0373942i | ||||
\(906\) | 8.75001 | − | 49.1485i | 0.290700 | − | 1.63285i | ||||
\(907\) | 40.1001 | − | 40.1001i | 1.33150 | − | 1.33150i | 0.427475 | − | 0.904027i | \(-0.359403\pi\) |
0.904027 | − | 0.427475i | \(-0.140597\pi\) | |||||||
\(908\) | 12.2388 | − | 12.2388i | 0.406158 | − | 0.406158i | ||||
\(909\) | 2.68437 | + | 5.80670i | 0.0890350 | + | 0.192596i | ||||
\(910\) | 5.33216 | 0.176760 | ||||||||
\(911\) | 22.3526i | 0.740575i | 0.928917 | + | 0.370287i | \(0.120741\pi\) | ||||
−0.928917 | + | 0.370287i | \(0.879259\pi\) | |||||||
\(912\) | −10.2834 | + | 57.7617i | −0.340518 | + | 1.91268i | ||||
\(913\) | −11.8492 | − | 11.8492i | −0.392152 | − | 0.392152i | ||||
\(914\) | −13.4639 | −0.445347 | ||||||||
\(915\) | −0.246094 | − | 5.29067i | −0.00813563 | − | 0.174904i | ||||
\(916\) | −110.397 | −3.64762 | ||||||||
\(917\) | 6.78141 | + | 6.78141i | 0.223942 | + | 0.223942i | ||||
\(918\) | 39.5120 | + | 23.0743i | 1.30409 | + | 0.761564i | ||||
\(919\) | − | 51.1471i | − | 1.68719i | −0.536982 | − | 0.843594i | \(-0.680436\pi\) | ||
0.536982 | − | 0.843594i | \(-0.319564\pi\) | |||||||
\(920\) | −8.35436 | −0.275435 | ||||||||
\(921\) | 0.925266 | − | 0.645601i | 0.0304885 | − | 0.0212733i | ||||
\(922\) | −52.5372 | + | 52.5372i | −1.73022 | + | 1.73022i | ||||
\(923\) | 50.1391 | − | 50.1391i | 1.65035 | − | 1.65035i | ||||
\(924\) | −22.1805 | − | 3.94885i | −0.729686 | − | 0.129908i | ||||
\(925\) | 13.9713 | + | 13.9713i | 0.459372 | + | 0.459372i | ||||
\(926\) | 30.3457 | − | 30.3457i | 0.997223 | − | 0.997223i | ||||
\(927\) | −21.6196 | − | 7.94996i | −0.710082 | − | 0.261111i | ||||
\(928\) | −22.8414 | −0.749804 | ||||||||
\(929\) | −55.3731 | −1.81673 | −0.908367 | − | 0.418175i | \(-0.862670\pi\) | ||||
−0.908367 | + | 0.418175i | \(0.862670\pi\) | |||||||
\(930\) | 2.75022 | − | 15.4479i | 0.0901833 | − | 0.506557i | ||||
\(931\) | 29.1821 | 0.956405 | ||||||||
\(932\) | −19.2691 | + | 19.2691i | −0.631180 | + | 0.631180i | ||||
\(933\) | 17.6993 | − | 12.3497i | 0.579450 | − | 0.404309i | ||||
\(934\) | 53.0673i | 1.73641i | ||||||||
\(935\) | 4.19279i | 0.137119i | ||||||||
\(936\) | 98.0006 | − | 45.3045i | 3.20325 | − | 1.48083i | ||||
\(937\) | 31.7186 | 1.03620 | 0.518100 | − | 0.855320i | \(-0.326639\pi\) | ||||
0.518100 | + | 0.855320i | \(0.326639\pi\) | |||||||
\(938\) | −6.62827 | − | 6.62827i | −0.216421 | − | 0.216421i | ||||
\(939\) | 8.49666 | + | 12.1773i | 0.277278 | + | 0.397391i | ||||
\(940\) | −17.6667 | −0.576223 | ||||||||
\(941\) | 18.2926 | + | 18.2926i | 0.596321 | + | 0.596321i | 0.939332 | − | 0.343010i | \(-0.111447\pi\) |
−0.343010 | + | 0.939332i | \(0.611447\pi\) | |||||||
\(942\) | −10.7912 | + | 60.6135i | −0.351595 | + | 1.97490i | ||||
\(943\) | −7.79553 | − | 7.79553i | −0.253857 | − | 0.253857i | ||||
\(944\) | 35.8618 | − | 35.8618i | 1.16720 | − | 1.16720i | ||||
\(945\) | −1.84594 | + | 0.484819i | −0.0600485 | + | 0.0157712i | ||||
\(946\) | 58.3309 | + | 58.3309i | 1.89650 | + | 1.89650i | ||||
\(947\) | 7.82017 | + | 7.82017i | 0.254121 | + | 0.254121i | 0.822658 | − | 0.568537i | \(-0.192490\pi\) |
−0.568537 | + | 0.822658i | \(0.692490\pi\) | |||||||
\(948\) | 11.7323 | + | 16.8146i | 0.381047 | + | 0.546111i | ||||
\(949\) | −65.2255 | −2.11731 | ||||||||
\(950\) | 41.5968 | − | 41.5968i | 1.34958 | − | 1.34958i | ||||
\(951\) | −0.0902475 | + | 0.506917i | −0.00292648 | + | 0.0164379i | ||||
\(952\) | −14.4810 | − | 14.4810i | −0.469333 | − | 0.469333i | ||||
\(953\) | 1.61430 | − | 1.61430i | 0.0522923 | − | 0.0522923i | −0.680477 | − | 0.732769i | \(-0.738227\pi\) |
0.732769 | + | 0.680477i | \(0.238227\pi\) | |||||||
\(954\) | −4.33883 | + | 11.7993i | −0.140475 | + | 0.382017i | ||||
\(955\) | −2.53698 | + | 2.53698i | −0.0820948 | + | 0.0820948i | ||||
\(956\) | −8.29892 | −0.268406 | ||||||||
\(957\) | −3.93041 | + | 22.0770i | −0.127052 | + | 0.713647i | ||||
\(958\) | −17.6045 | − | 17.6045i | −0.568777 | − | 0.568777i | ||||
\(959\) | 7.10988 | + | 7.10988i | 0.229590 | + | 0.229590i | ||||
\(960\) | −0.0363602 | + | 0.204234i | −0.00117352 | + | 0.00659163i | ||||
\(961\) | 51.6322i | 1.66555i | ||||||||
\(962\) | 59.1815i | 1.90809i | ||||||||
\(963\) | 7.41921 | + | 2.72818i | 0.239081 | + | 0.0879145i | ||||
\(964\) | − | 9.87197i | − | 0.317955i | ||||||
\(965\) | 1.34579 | + | 1.34579i | 0.0433225 | + | 0.0433225i | ||||
\(966\) | −8.00326 | − | 11.4701i | −0.257501 | − | 0.369046i | ||||
\(967\) | − | 23.9366i | − | 0.769749i | −0.922969 | − | 0.384874i | \(-0.874245\pi\) | ||
0.922969 | − | 0.384874i | \(-0.125755\pi\) | |||||||
\(968\) | 6.32525 | + | 6.32525i | 0.203301 | + | 0.203301i | ||||
\(969\) | 16.3497 | + | 23.4321i | 0.525227 | + | 0.752747i | ||||
\(970\) | 2.46629 | − | 2.46629i | 0.0791878 | − | 0.0791878i | ||||
\(971\) | − | 29.5545i | − | 0.948448i | −0.880404 | − | 0.474224i | \(-0.842729\pi\) | ||
0.880404 | − | 0.474224i | \(-0.157271\pi\) | |||||||
\(972\) | −53.8553 | + | 44.4366i | −1.72741 | + | 1.42530i | ||||
\(973\) | −0.0963623 | −0.00308923 | ||||||||
\(974\) | −11.6556 | + | 11.6556i | −0.373468 | + | 0.373468i | ||||
\(975\) | −47.1368 | − | 8.39185i | −1.50958 | − | 0.268754i | ||||
\(976\) | 12.2521 | + | 54.1117i | 0.392179 | + | 1.73207i | ||||
\(977\) | − | 21.4844i | − | 0.687347i | −0.939089 | − | 0.343674i | \(-0.888329\pi\) | ||
0.939089 | − | 0.343674i | \(-0.111671\pi\) | |||||||
\(978\) | −50.0789 | + | 34.9424i | −1.60135 | + | 1.11734i | ||||
\(979\) | 45.3175i | 1.44835i | ||||||||
\(980\) | −10.7321 | −0.342823 | ||||||||
\(981\) | −0.736622 | + | 2.00322i | −0.0235185 | + | 0.0639579i | ||||
\(982\) | 66.9965 | + | 66.9965i | 2.13794 | + | 2.13794i | ||||
\(983\) | 5.47918 | + | 5.47918i | 0.174759 | + | 0.174759i | 0.789067 | − | 0.614308i | \(-0.210565\pi\) |
−0.614308 | + | 0.789067i | \(0.710565\pi\) | |||||||
\(984\) | 29.2216 | − | 20.3893i | 0.931551 | − | 0.649986i | ||||
\(985\) | 7.42415 | 0.236553 | ||||||||
\(986\) | −26.0417 | + | 26.0417i | −0.829336 | + | 0.829336i | ||||
\(987\) | −9.36713 | − | 13.4248i | −0.298159 | − | 0.427317i | ||||
\(988\) | 121.810 | 3.87530 | ||||||||
\(989\) | 35.4032i | 1.12576i | ||||||||
\(990\) | −8.68618 | − | 3.19407i | −0.276065 | − | 0.101514i | ||||
\(991\) | −36.5310 | −1.16044 | −0.580222 | − | 0.814458i | \(-0.697034\pi\) | ||||
−0.580222 | + | 0.814458i | \(0.697034\pi\) | |||||||
\(992\) | 49.6454i | 1.57624i | ||||||||
\(993\) | 15.6633 | − | 10.9290i | 0.497059 | − | 0.346821i | ||||
\(994\) | 20.9928 | − | 20.9928i | 0.665850 | − | 0.665850i | ||||
\(995\) | 5.44211 | 0.172527 | ||||||||
\(996\) | 41.3464 | + | 7.36098i | 1.31011 | + | 0.233241i | ||||
\(997\) | 8.47046 | + | 8.47046i | 0.268262 | + | 0.268262i | 0.828400 | − | 0.560138i | \(-0.189252\pi\) |
−0.560138 | + | 0.828400i | \(0.689252\pi\) | |||||||
\(998\) | − | 40.8610i | − | 1.29343i | ||||||
\(999\) | −5.38099 | − | 20.4880i | −0.170247 | − | 0.648213i |
(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 | 183.2.g.c.50.1 | yes | 28 | |
3.2 | odd | 2 | inner | 183.2.g.c.50.14 | yes | 28 | |
61.11 | odd | 4 | inner | 183.2.g.c.11.14 | yes | 28 | |
183.11 | even | 4 | inner | 183.2.g.c.11.1 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
183.2.g.c.11.1 | ✓ | 28 | 183.11 | even | 4 | inner | |
183.2.g.c.11.14 | yes | 28 | 61.11 | odd | 4 | inner | |
183.2.g.c.50.1 | yes | 28 | 1.1 | even | 1 | trivial | |
183.2.g.c.50.14 | yes | 28 | 3.2 | odd | 2 | inner |