Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(497,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.497");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.j (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 497.13 | ||
Character | \(\chi\) | \(=\) | 930.497 |
Dual form | 930.2.j.h.683.13 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) |
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 | ||||
\(3\) | −0.860137 | + | 1.50338i | −0.496600 | + | 0.867979i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −2.19538 | + | 0.424609i | −0.981805 | + | 0.189891i | ||||
\(6\) | 0.454844 | + | 1.67126i | 0.185689 | + | 0.682290i | ||||
\(7\) | −0.358790 | − | 0.358790i | −0.135610 | − | 0.135610i | 0.636043 | − | 0.771653i | \(-0.280570\pi\) |
−0.771653 | + | 0.636043i | \(0.780570\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −1.52033 | − | 2.58623i | −0.506776 | − | 0.862078i | ||||
\(10\) | −1.25213 | + | 1.85261i | −0.395957 | + | 0.585848i | ||||
\(11\) | 1.95505i | 0.589470i | 0.955579 | + | 0.294735i | \(0.0952313\pi\) | ||||
−0.955579 | + | 0.294735i | \(0.904769\pi\) | |||||||
\(12\) | 1.50338 | + | 0.860137i | 0.433990 | + | 0.248300i | ||||
\(13\) | 1.74122 | − | 1.74122i | 0.482927 | − | 0.482927i | −0.423138 | − | 0.906065i | \(-0.639071\pi\) |
0.906065 | + | 0.423138i | \(0.139071\pi\) | |||||||
\(14\) | −0.507406 | −0.135610 | ||||||||
\(15\) | 1.24998 | − | 3.66573i | 0.322743 | − | 0.946487i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 3.65749 | − | 3.65749i | 0.887071 | − | 0.887071i | −0.107170 | − | 0.994241i | \(-0.534179\pi\) |
0.994241 | + | 0.107170i | \(0.0341789\pi\) | |||||||
\(18\) | −2.90378 | − | 0.753709i | −0.684427 | − | 0.177651i | ||||
\(19\) | − | 3.69824i | − | 0.848434i | −0.905561 | − | 0.424217i | \(-0.860549\pi\) | ||
0.905561 | − | 0.424217i | \(-0.139451\pi\) | |||||||
\(20\) | 0.424609 | + | 2.19538i | 0.0949456 | + | 0.490903i | ||||
\(21\) | 0.848008 | − | 0.230791i | 0.185051 | − | 0.0503626i | ||||
\(22\) | 1.38243 | + | 1.38243i | 0.294735 | + | 0.294735i | ||||
\(23\) | 6.27796 | + | 6.27796i | 1.30905 | + | 1.30905i | 0.922104 | + | 0.386942i | \(0.126469\pi\) |
0.386942 | + | 0.922104i | \(0.373531\pi\) | |||||||
\(24\) | 1.67126 | − | 0.454844i | 0.341145 | − | 0.0928447i | ||||
\(25\) | 4.63941 | − | 1.86436i | 0.927883 | − | 0.372872i | ||||
\(26\) | − | 2.46246i | − | 0.482927i | ||||||
\(27\) | 5.19579 | − | 0.0611210i | 0.999931 | − | 0.0117627i | ||||
\(28\) | −0.358790 | + | 0.358790i | −0.0678050 | + | 0.0678050i | ||||
\(29\) | 8.51841 | 1.58183 | 0.790914 | − | 0.611927i | \(-0.209605\pi\) | ||||
0.790914 | + | 0.611927i | \(0.209605\pi\) | |||||||
\(30\) | −1.70819 | − | 3.47593i | −0.311872 | − | 0.634615i | ||||
\(31\) | −1.00000 | −0.179605 | ||||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −2.93919 | − | 1.68161i | −0.511647 | − | 0.292731i | ||||
\(34\) | − | 5.17247i | − | 0.887071i | ||||||
\(35\) | 0.940028 | + | 0.635336i | 0.158894 | + | 0.107391i | ||||
\(36\) | −2.58623 | + | 1.52033i | −0.431039 | + | 0.253388i | ||||
\(37\) | −1.92806 | − | 1.92806i | −0.316972 | − | 0.316972i | 0.530631 | − | 0.847603i | \(-0.321955\pi\) |
−0.847603 | + | 0.530631i | \(0.821955\pi\) | |||||||
\(38\) | −2.61505 | − | 2.61505i | −0.424217 | − | 0.424217i | ||||
\(39\) | 1.12003 | + | 4.11541i | 0.179349 | + | 0.658993i | ||||
\(40\) | 1.85261 | + | 1.25213i | 0.292924 | + | 0.197979i | ||||
\(41\) | 9.77147i | 1.52605i | 0.646371 | + | 0.763024i | \(0.276286\pi\) | ||||
−0.646371 | + | 0.763024i | \(0.723714\pi\) | |||||||
\(42\) | 0.436439 | − | 0.762826i | 0.0673440 | − | 0.117707i | ||||
\(43\) | −1.51772 | + | 1.51772i | −0.231451 | + | 0.231451i | −0.813298 | − | 0.581847i | \(-0.802330\pi\) |
0.581847 | + | 0.813298i | \(0.302330\pi\) | |||||||
\(44\) | 1.95505 | 0.294735 | ||||||||
\(45\) | 4.43584 | + | 5.03223i | 0.661256 | + | 0.750160i | ||||
\(46\) | 8.87838 | 1.30905 | ||||||||
\(47\) | 4.14558 | − | 4.14558i | 0.604695 | − | 0.604695i | −0.336860 | − | 0.941555i | \(-0.609365\pi\) |
0.941555 | + | 0.336860i | \(0.109365\pi\) | |||||||
\(48\) | 0.860137 | − | 1.50338i | 0.124150 | − | 0.216995i | ||||
\(49\) | − | 6.74254i | − | 0.963220i | ||||||
\(50\) | 1.96226 | − | 4.59886i | 0.277505 | − | 0.650377i | ||||
\(51\) | 2.35267 | + | 8.64455i | 0.329439 | + | 1.21048i | ||||
\(52\) | −1.74122 | − | 1.74122i | −0.241464 | − | 0.241464i | ||||
\(53\) | −9.34225 | − | 9.34225i | −1.28326 | − | 1.28326i | −0.938804 | − | 0.344452i | \(-0.888065\pi\) |
−0.344452 | − | 0.938804i | \(-0.611935\pi\) | |||||||
\(54\) | 3.63076 | − | 3.71720i | 0.494084 | − | 0.505847i | ||||
\(55\) | −0.830133 | − | 4.29208i | −0.111935 | − | 0.578744i | ||||
\(56\) | 0.507406i | 0.0678050i | ||||||||
\(57\) | 5.55987 | + | 3.18099i | 0.736423 | + | 0.421333i | ||||
\(58\) | 6.02342 | − | 6.02342i | 0.790914 | − | 0.790914i | ||||
\(59\) | 1.87779 | 0.244468 | 0.122234 | − | 0.992501i | \(-0.460994\pi\) | ||||
0.122234 | + | 0.992501i | \(0.460994\pi\) | |||||||
\(60\) | −3.66573 | − | 1.24998i | −0.473243 | − | 0.161372i | ||||
\(61\) | 10.5206 | 1.34702 | 0.673510 | − | 0.739178i | \(-0.264786\pi\) | ||||
0.673510 | + | 0.739178i | \(0.264786\pi\) | |||||||
\(62\) | −0.707107 | + | 0.707107i | −0.0898027 | + | 0.0898027i | ||||
\(63\) | −0.382436 | + | 1.47339i | −0.0481825 | + | 0.185630i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −3.08330 | + | 4.56198i | −0.382437 | + | 0.565844i | ||||
\(66\) | −3.26740 | + | 0.889243i | −0.402189 | + | 0.109458i | ||||
\(67\) | −7.86226 | − | 7.86226i | −0.960528 | − | 0.960528i | 0.0387218 | − | 0.999250i | \(-0.487671\pi\) |
−0.999250 | + | 0.0387218i | \(0.987671\pi\) | |||||||
\(68\) | −3.65749 | − | 3.65749i | −0.443535 | − | 0.443535i | ||||
\(69\) | −14.8381 | + | 4.03828i | −1.78630 | + | 0.486152i | ||||
\(70\) | 1.11395 | − | 0.215449i | 0.133143 | − | 0.0257511i | ||||
\(71\) | 2.88620i | 0.342529i | 0.985225 | + | 0.171264i | \(0.0547852\pi\) | ||||
−0.985225 | + | 0.171264i | \(0.945215\pi\) | |||||||
\(72\) | −0.753709 | + | 2.90378i | −0.0888255 | + | 0.342213i | ||||
\(73\) | 9.70365 | − | 9.70365i | 1.13573 | − | 1.13573i | 0.146518 | − | 0.989208i | \(-0.453193\pi\) |
0.989208 | − | 0.146518i | \(-0.0468067\pi\) | |||||||
\(74\) | −2.72669 | −0.316972 | ||||||||
\(75\) | −1.18768 | + | 8.57843i | −0.137142 | + | 0.990551i | ||||
\(76\) | −3.69824 | −0.424217 | ||||||||
\(77\) | 0.701453 | − | 0.701453i | 0.0799379 | − | 0.0799379i | ||||
\(78\) | 3.70202 | + | 2.11805i | 0.419171 | + | 0.239822i | ||||
\(79\) | − | 1.35078i | − | 0.151974i | −0.997109 | − | 0.0759872i | \(-0.975789\pi\) | ||
0.997109 | − | 0.0759872i | \(-0.0242108\pi\) | |||||||
\(80\) | 2.19538 | − | 0.424609i | 0.245451 | − | 0.0474728i | ||||
\(81\) | −4.37721 | + | 7.86385i | −0.486356 | + | 0.873761i | ||||
\(82\) | 6.90947 | + | 6.90947i | 0.763024 | + | 0.763024i | ||||
\(83\) | 2.46289 | + | 2.46289i | 0.270337 | + | 0.270337i | 0.829236 | − | 0.558899i | \(-0.188776\pi\) |
−0.558899 | + | 0.829236i | \(0.688776\pi\) | |||||||
\(84\) | −0.230791 | − | 0.848008i | −0.0251813 | − | 0.0925253i | ||||
\(85\) | −6.47658 | + | 9.58259i | −0.702484 | + | 1.03938i | ||||
\(86\) | 2.14639i | 0.231451i | ||||||||
\(87\) | −7.32700 | + | 12.8064i | −0.785537 | + | 1.37299i | ||||
\(88\) | 1.38243 | − | 1.38243i | 0.147367 | − | 0.147367i | ||||
\(89\) | −0.192825 | −0.0204395 | −0.0102197 | − | 0.999948i | \(-0.503253\pi\) | ||||
−0.0102197 | + | 0.999948i | \(0.503253\pi\) | |||||||
\(90\) | 6.69494 | + | 0.421709i | 0.705708 | + | 0.0444520i | ||||
\(91\) | −1.24946 | −0.130979 | ||||||||
\(92\) | 6.27796 | − | 6.27796i | 0.654523 | − | 0.654523i | ||||
\(93\) | 0.860137 | − | 1.50338i | 0.0891921 | − | 0.155894i | ||||
\(94\) | − | 5.86273i | − | 0.604695i | ||||||
\(95\) | 1.57031 | + | 8.11905i | 0.161110 | + | 0.832997i | ||||
\(96\) | −0.454844 | − | 1.67126i | −0.0464223 | − | 0.170572i | ||||
\(97\) | 1.01182 | + | 1.01182i | 0.102735 | + | 0.102735i | 0.756606 | − | 0.653871i | \(-0.226856\pi\) |
−0.653871 | + | 0.756606i | \(0.726856\pi\) | |||||||
\(98\) | −4.76770 | − | 4.76770i | −0.481610 | − | 0.481610i | ||||
\(99\) | 5.05622 | − | 2.97232i | 0.508169 | − | 0.298729i | ||||
\(100\) | −1.86436 | − | 4.63941i | −0.186436 | − | 0.463941i | ||||
\(101\) | − | 0.318549i | − | 0.0316969i | −0.999874 | − | 0.0158484i | \(-0.994955\pi\) | ||
0.999874 | − | 0.0158484i | \(-0.00504492\pi\) | |||||||
\(102\) | 7.77620 | + | 4.44903i | 0.769959 | + | 0.440520i | ||||
\(103\) | 11.0476 | − | 11.0476i | 1.08856 | − | 1.08856i | 0.0928796 | − | 0.995677i | \(-0.470393\pi\) |
0.995677 | − | 0.0928796i | \(-0.0296072\pi\) | |||||||
\(104\) | −2.46246 | −0.241464 | ||||||||
\(105\) | −1.76371 | + | 0.866746i | −0.172120 | + | 0.0845858i | ||||
\(106\) | −13.2119 | −1.28326 | ||||||||
\(107\) | −1.88705 | + | 1.88705i | −0.182428 | + | 0.182428i | −0.792413 | − | 0.609985i | \(-0.791176\pi\) |
0.609985 | + | 0.792413i | \(0.291176\pi\) | |||||||
\(108\) | −0.0611210 | − | 5.19579i | −0.00588137 | − | 0.499965i | ||||
\(109\) | − | 0.0819468i | − | 0.00784908i | −0.999992 | − | 0.00392454i | \(-0.998751\pi\) | ||
0.999992 | − | 0.00392454i | \(-0.00124922\pi\) | |||||||
\(110\) | −3.62195 | − | 2.44797i | −0.345340 | − | 0.233405i | ||||
\(111\) | 4.55702 | − | 1.24022i | 0.432533 | − | 0.117717i | ||||
\(112\) | 0.358790 | + | 0.358790i | 0.0339025 | + | 0.0339025i | ||||
\(113\) | −9.29128 | − | 9.29128i | −0.874050 | − | 0.874050i | 0.118861 | − | 0.992911i | \(-0.462076\pi\) |
−0.992911 | + | 0.118861i | \(0.962076\pi\) | |||||||
\(114\) | 6.18072 | − | 1.68212i | 0.578878 | − | 0.157545i | ||||
\(115\) | −16.4482 | − | 11.1169i | −1.53380 | − | 1.03665i | ||||
\(116\) | − | 8.51841i | − | 0.790914i | ||||||
\(117\) | −7.15042 | − | 1.85598i | −0.661057 | − | 0.171585i | ||||
\(118\) | 1.32780 | − | 1.32780i | 0.122234 | − | 0.122234i | ||||
\(119\) | −2.62454 | −0.240591 | ||||||||
\(120\) | −3.47593 | + | 1.70819i | −0.317307 | + | 0.155936i | ||||
\(121\) | 7.17778 | 0.652525 | ||||||||
\(122\) | 7.43916 | − | 7.43916i | 0.673510 | − | 0.673510i | ||||
\(123\) | −14.6903 | − | 8.40481i | −1.32458 | − | 0.757836i | ||||
\(124\) | 1.00000i | 0.0898027i | ||||||||
\(125\) | −9.39366 | + | 6.06293i | −0.840195 | + | 0.542284i | ||||
\(126\) | 0.771423 | + | 1.31227i | 0.0687238 | + | 0.116906i | ||||
\(127\) | 5.42117 | + | 5.42117i | 0.481051 | + | 0.481051i | 0.905467 | − | 0.424416i | \(-0.139521\pi\) |
−0.424416 | + | 0.905467i | \(0.639521\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | −0.976271 | − | 3.58717i | −0.0859559 | − | 0.315833i | ||||
\(130\) | 1.04558 | + | 5.40603i | 0.0917036 | + | 0.474141i | ||||
\(131\) | 15.0074i | 1.31120i | 0.755107 | + | 0.655601i | \(0.227585\pi\) | ||||
−0.755107 | + | 0.655601i | \(0.772415\pi\) | |||||||
\(132\) | −1.68161 | + | 2.93919i | −0.146365 | + | 0.255824i | ||||
\(133\) | −1.32689 | + | 1.32689i | −0.115056 | + | 0.115056i | ||||
\(134\) | −11.1189 | −0.960528 | ||||||||
\(135\) | −11.3808 | + | 2.34037i | −0.979504 | + | 0.201427i | ||||
\(136\) | −5.17247 | −0.443535 | ||||||||
\(137\) | 2.32290 | − | 2.32290i | 0.198459 | − | 0.198459i | −0.600880 | − | 0.799339i | \(-0.705183\pi\) |
0.799339 | + | 0.600880i | \(0.205183\pi\) | |||||||
\(138\) | −7.63663 | + | 13.3476i | −0.650073 | + | 1.13622i | ||||
\(139\) | 9.23533i | 0.783331i | 0.920108 | + | 0.391665i | \(0.128101\pi\) | ||||
−0.920108 | + | 0.391665i | \(0.871899\pi\) | |||||||
\(140\) | 0.635336 | − | 0.940028i | 0.0536957 | − | 0.0794468i | ||||
\(141\) | 2.66663 | + | 9.79816i | 0.224571 | + | 0.825154i | ||||
\(142\) | 2.04085 | + | 2.04085i | 0.171264 | + | 0.171264i | ||||
\(143\) | 3.40417 | + | 3.40417i | 0.284671 | + | 0.284671i | ||||
\(144\) | 1.52033 | + | 2.58623i | 0.126694 | + | 0.215519i | ||||
\(145\) | −18.7012 | + | 3.61700i | −1.55305 | + | 0.300375i | ||||
\(146\) | − | 13.7230i | − | 1.13573i | ||||||
\(147\) | 10.1366 | + | 5.79951i | 0.836055 | + | 0.478335i | ||||
\(148\) | −1.92806 | + | 1.92806i | −0.158486 | + | 0.158486i | ||||
\(149\) | −0.823443 | −0.0674591 | −0.0337295 | − | 0.999431i | \(-0.510738\pi\) | ||||
−0.0337295 | + | 0.999431i | \(0.510738\pi\) | |||||||
\(150\) | 5.22605 | + | 6.90568i | 0.426705 | + | 0.563847i | ||||
\(151\) | −11.6623 | −0.949068 | −0.474534 | − | 0.880237i | \(-0.657383\pi\) | ||||
−0.474534 | + | 0.880237i | \(0.657383\pi\) | |||||||
\(152\) | −2.61505 | + | 2.61505i | −0.212108 | + | 0.212108i | ||||
\(153\) | −15.0197 | − | 3.89854i | −1.21427 | − | 0.315178i | ||||
\(154\) | − | 0.992004i | − | 0.0799379i | ||||||
\(155\) | 2.19538 | − | 0.424609i | 0.176337 | − | 0.0341055i | ||||
\(156\) | 4.11541 | − | 1.12003i | 0.329496 | − | 0.0896745i | ||||
\(157\) | −14.8439 | − | 14.8439i | −1.18467 | − | 1.18467i | −0.978520 | − | 0.206152i | \(-0.933906\pi\) |
−0.206152 | − | 0.978520i | \(-0.566094\pi\) | |||||||
\(158\) | −0.955144 | − | 0.955144i | −0.0759872 | − | 0.0759872i | ||||
\(159\) | 22.0806 | − | 6.00937i | 1.75111 | − | 0.476574i | ||||
\(160\) | 1.25213 | − | 1.85261i | 0.0989893 | − | 0.146462i | ||||
\(161\) | − | 4.50494i | − | 0.355039i | ||||||
\(162\) | 2.46543 | + | 8.65573i | 0.193702 | + | 0.680058i | ||||
\(163\) | −13.7523 | + | 13.7523i | −1.07716 | + | 1.07716i | −0.0803969 | + | 0.996763i | \(0.525619\pi\) |
−0.996763 | + | 0.0803969i | \(0.974381\pi\) | |||||||
\(164\) | 9.77147 | 0.763024 | ||||||||
\(165\) | 7.16668 | + | 2.44377i | 0.557925 | + | 0.190247i | ||||
\(166\) | 3.48305 | 0.270337 | ||||||||
\(167\) | 17.7715 | − | 17.7715i | 1.37520 | − | 1.37520i | 0.522652 | − | 0.852546i | \(-0.324943\pi\) |
0.852546 | − | 0.522652i | \(-0.175057\pi\) | |||||||
\(168\) | −0.762826 | − | 0.436439i | −0.0588533 | − | 0.0336720i | ||||
\(169\) | 6.93631i | 0.533562i | ||||||||
\(170\) | 2.19628 | + | 11.3555i | 0.168447 | + | 0.870931i | ||||
\(171\) | −9.56450 | + | 5.62253i | −0.731416 | + | 0.429966i | ||||
\(172\) | 1.51772 | + | 1.51772i | 0.115725 | + | 0.115725i | ||||
\(173\) | 2.20529 | + | 2.20529i | 0.167665 | + | 0.167665i | 0.785952 | − | 0.618287i | \(-0.212173\pi\) |
−0.618287 | + | 0.785952i | \(0.712173\pi\) | |||||||
\(174\) | 3.87455 | + | 14.2365i | 0.293729 | + | 1.07927i | ||||
\(175\) | −2.33349 | − | 0.995662i | −0.176395 | − | 0.0752649i | ||||
\(176\) | − | 1.95505i | − | 0.147367i | ||||||
\(177\) | −1.61516 | + | 2.82304i | −0.121403 | + | 0.212193i | ||||
\(178\) | −0.136348 | + | 0.136348i | −0.0102197 | + | 0.0102197i | ||||
\(179\) | 3.73765 | 0.279365 | 0.139682 | − | 0.990196i | \(-0.455392\pi\) | ||||
0.139682 | + | 0.990196i | \(0.455392\pi\) | |||||||
\(180\) | 5.03223 | − | 4.43584i | 0.375080 | − | 0.330628i | ||||
\(181\) | −17.5399 | −1.30373 | −0.651863 | − | 0.758336i | \(-0.726012\pi\) | ||||
−0.651863 | + | 0.758336i | \(0.726012\pi\) | |||||||
\(182\) | −0.883505 | + | 0.883505i | −0.0654897 | + | 0.0654897i | ||||
\(183\) | −9.04913 | + | 15.8164i | −0.668931 | + | 1.16919i | ||||
\(184\) | − | 8.87838i | − | 0.654523i | ||||||
\(185\) | 5.05151 | + | 3.41416i | 0.371394 | + | 0.251014i | ||||
\(186\) | −0.454844 | − | 1.67126i | −0.0333508 | − | 0.122543i | ||||
\(187\) | 7.15057 | + | 7.15057i | 0.522901 | + | 0.522901i | ||||
\(188\) | −4.14558 | − | 4.14558i | −0.302347 | − | 0.302347i | ||||
\(189\) | −1.88613 | − | 1.84227i | −0.137196 | − | 0.134005i | ||||
\(190\) | 6.85141 | + | 4.63066i | 0.497053 | + | 0.335943i | ||||
\(191\) | − | 2.42501i | − | 0.175468i | −0.996144 | − | 0.0877339i | \(-0.972037\pi\) | ||
0.996144 | − | 0.0877339i | \(-0.0279625\pi\) | |||||||
\(192\) | −1.50338 | − | 0.860137i | −0.108497 | − | 0.0620751i | ||||
\(193\) | −8.58471 | + | 8.58471i | −0.617941 | + | 0.617941i | −0.945003 | − | 0.327062i | \(-0.893941\pi\) |
0.327062 | + | 0.945003i | \(0.393941\pi\) | |||||||
\(194\) | 1.43093 | 0.102735 | ||||||||
\(195\) | −4.20634 | − | 8.55932i | −0.301223 | − | 0.612946i | ||||
\(196\) | −6.74254 | −0.481610 | ||||||||
\(197\) | −17.2273 | + | 17.2273i | −1.22740 | + | 1.22740i | −0.262452 | + | 0.964945i | \(0.584531\pi\) |
−0.964945 | + | 0.262452i | \(0.915469\pi\) | |||||||
\(198\) | 1.47354 | − | 5.67703i | 0.104720 | − | 0.403449i | ||||
\(199\) | 13.5961i | 0.963801i | 0.876226 | + | 0.481900i | \(0.160053\pi\) | ||||
−0.876226 | + | 0.481900i | \(0.839947\pi\) | |||||||
\(200\) | −4.59886 | − | 1.96226i | −0.325189 | − | 0.138753i | ||||
\(201\) | 18.5826 | − | 5.05738i | 1.31072 | − | 0.356720i | ||||
\(202\) | −0.225248 | − | 0.225248i | −0.0158484 | − | 0.0158484i | ||||
\(203\) | −3.05632 | − | 3.05632i | −0.214512 | − | 0.214512i | ||||
\(204\) | 8.64455 | − | 2.35267i | 0.605239 | − | 0.164720i | ||||
\(205\) | −4.14906 | − | 21.4521i | −0.289783 | − | 1.49828i | ||||
\(206\) | − | 15.6237i | − | 1.08856i | ||||||
\(207\) | 6.69172 | − | 25.7808i | 0.465107 | − | 1.79189i | ||||
\(208\) | −1.74122 | + | 1.74122i | −0.120732 | + | 0.120732i | ||||
\(209\) | 7.23024 | 0.500126 | ||||||||
\(210\) | −0.634247 | + | 1.86001i | −0.0437672 | + | 0.128353i | ||||
\(211\) | 26.5004 | 1.82436 | 0.912182 | − | 0.409785i | \(-0.134396\pi\) | ||||
0.912182 | + | 0.409785i | \(0.134396\pi\) | |||||||
\(212\) | −9.34225 | + | 9.34225i | −0.641628 | + | 0.641628i | ||||
\(213\) | −4.33906 | − | 2.48253i | −0.297308 | − | 0.170100i | ||||
\(214\) | 2.66870i | 0.182428i | ||||||||
\(215\) | 2.68755 | − | 3.97643i | 0.183289 | − | 0.271190i | ||||
\(216\) | −3.71720 | − | 3.63076i | −0.252923 | − | 0.247042i | ||||
\(217\) | 0.358790 | + | 0.358790i | 0.0243563 | + | 0.0243563i | ||||
\(218\) | −0.0579452 | − | 0.0579452i | −0.00392454 | − | 0.00392454i | ||||
\(219\) | 6.24184 | + | 22.9348i | 0.421785 | + | 1.54979i | ||||
\(220\) | −4.29208 | + | 0.830133i | −0.289372 | + | 0.0559675i | ||||
\(221\) | − | 12.7370i | − | 0.856781i | ||||||
\(222\) | 2.34533 | − | 4.09927i | 0.157408 | − | 0.275125i | ||||
\(223\) | 19.1668 | − | 19.1668i | 1.28350 | − | 1.28350i | 0.344842 | − | 0.938661i | \(-0.387933\pi\) |
0.938661 | − | 0.344842i | \(-0.112067\pi\) | |||||||
\(224\) | 0.507406 | 0.0339025 | ||||||||
\(225\) | −11.8751 | − | 9.16417i | −0.791673 | − | 0.610944i | ||||
\(226\) | −13.1399 | −0.874050 | ||||||||
\(227\) | 1.96350 | − | 1.96350i | 0.130322 | − | 0.130322i | −0.638937 | − | 0.769259i | \(-0.720626\pi\) |
0.769259 | + | 0.638937i | \(0.220626\pi\) | |||||||
\(228\) | 3.18099 | − | 5.55987i | 0.210666 | − | 0.368211i | ||||
\(229\) | 1.32660i | 0.0876644i | 0.999039 | + | 0.0438322i | \(0.0139567\pi\) | ||||
−0.999039 | + | 0.0438322i | \(0.986043\pi\) | |||||||
\(230\) | −19.4914 | + | 3.76984i | −1.28523 | + | 0.248576i | ||||
\(231\) | 0.451207 | + | 1.65790i | 0.0296873 | + | 0.109082i | ||||
\(232\) | −6.02342 | − | 6.02342i | −0.395457 | − | 0.395457i | ||||
\(233\) | 7.07940 | + | 7.07940i | 0.463787 | + | 0.463787i | 0.899894 | − | 0.436108i | \(-0.143643\pi\) |
−0.436108 | + | 0.899894i | \(0.643643\pi\) | |||||||
\(234\) | −6.36849 | + | 3.74374i | −0.416321 | + | 0.244736i | ||||
\(235\) | −7.34088 | + | 10.8614i | −0.478866 | + | 0.708519i | ||||
\(236\) | − | 1.87779i | − | 0.122234i | ||||||
\(237\) | 2.03074 | + | 1.16185i | 0.131911 | + | 0.0754705i | ||||
\(238\) | −1.85583 | + | 1.85583i | −0.120296 | + | 0.120296i | ||||
\(239\) | −9.69880 | −0.627363 | −0.313682 | − | 0.949528i | \(-0.601562\pi\) | ||||
−0.313682 | + | 0.949528i | \(0.601562\pi\) | |||||||
\(240\) | −1.24998 | + | 3.66573i | −0.0806858 | + | 0.236622i | ||||
\(241\) | 1.35150 | 0.0870581 | 0.0435290 | − | 0.999052i | \(-0.486140\pi\) | ||||
0.0435290 | + | 0.999052i | \(0.486140\pi\) | |||||||
\(242\) | 5.07546 | − | 5.07546i | 0.326263 | − | 0.326263i | ||||
\(243\) | −8.05738 | − | 13.3446i | −0.516881 | − | 0.856057i | ||||
\(244\) | − | 10.5206i | − | 0.673510i | ||||||
\(245\) | 2.86295 | + | 14.8025i | 0.182907 | + | 0.945694i | ||||
\(246\) | −16.3307 | + | 4.44450i | −1.04121 | + | 0.283371i | ||||
\(247\) | −6.43944 | − | 6.43944i | −0.409732 | − | 0.409732i | ||||
\(248\) | 0.707107 | + | 0.707107i | 0.0449013 | + | 0.0449013i | ||||
\(249\) | −5.82109 | + | 1.58425i | −0.368897 | + | 0.100398i | ||||
\(250\) | −2.35519 | + | 10.9295i | −0.148955 | + | 0.691240i | ||||
\(251\) | 20.3533i | 1.28469i | 0.766417 | + | 0.642343i | \(0.222038\pi\) | ||||
−0.766417 | + | 0.642343i | \(0.777962\pi\) | |||||||
\(252\) | 1.47339 | + | 0.382436i | 0.0928151 | + | 0.0240912i | ||||
\(253\) | −12.2737 | + | 12.2737i | −0.771643 | + | 0.771643i | ||||
\(254\) | 7.66669 | 0.481051 | ||||||||
\(255\) | −8.83556 | − | 17.9791i | −0.553304 | − | 1.12590i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 17.9170 | − | 17.9170i | 1.11763 | − | 1.11763i | 0.125546 | − | 0.992088i | \(-0.459932\pi\) |
0.992088 | − | 0.125546i | \(-0.0400682\pi\) | |||||||
\(258\) | −3.22684 | − | 1.84619i | −0.200894 | − | 0.114939i | ||||
\(259\) | 1.38354i | 0.0859690i | ||||||||
\(260\) | 4.56198 | + | 3.08330i | 0.282922 | + | 0.191218i | ||||
\(261\) | −12.9508 | − | 22.0306i | −0.801633 | − | 1.36366i | ||||
\(262\) | 10.6118 | + | 10.6118i | 0.655601 | + | 0.655601i | ||||
\(263\) | 14.2853 | + | 14.2853i | 0.880869 | + | 0.880869i | 0.993623 | − | 0.112754i | \(-0.0359672\pi\) |
−0.112754 | + | 0.993623i | \(0.535967\pi\) | |||||||
\(264\) | 0.889243 | + | 3.26740i | 0.0547291 | + | 0.201095i | ||||
\(265\) | 24.4766 | + | 16.5430i | 1.50359 | + | 1.01623i | ||||
\(266\) | 1.87651i | 0.115056i | ||||||||
\(267\) | 0.165856 | − | 0.289891i | 0.0101502 | − | 0.0177410i | ||||
\(268\) | −7.86226 | + | 7.86226i | −0.480264 | + | 0.480264i | ||||
\(269\) | −2.28146 | −0.139103 | −0.0695514 | − | 0.997578i | \(-0.522157\pi\) | ||||
−0.0695514 | + | 0.997578i | \(0.522157\pi\) | |||||||
\(270\) | −6.39255 | + | 9.70233i | −0.389038 | + | 0.590465i | ||||
\(271\) | 16.6154 | 1.00931 | 0.504657 | − | 0.863320i | \(-0.331619\pi\) | ||||
0.504657 | + | 0.863320i | \(0.331619\pi\) | |||||||
\(272\) | −3.65749 | + | 3.65749i | −0.221768 | + | 0.221768i | ||||
\(273\) | 1.07471 | − | 1.87843i | 0.0650445 | − | 0.113687i | ||||
\(274\) | − | 3.28508i | − | 0.198459i | ||||||
\(275\) | 3.64492 | + | 9.07028i | 0.219797 | + | 0.546959i | ||||
\(276\) | 4.03828 | + | 14.8381i | 0.243076 | + | 0.893149i | ||||
\(277\) | −8.63825 | − | 8.63825i | −0.519022 | − | 0.519022i | 0.398253 | − | 0.917275i | \(-0.369616\pi\) |
−0.917275 | + | 0.398253i | \(0.869616\pi\) | |||||||
\(278\) | 6.53037 | + | 6.53037i | 0.391665 | + | 0.391665i | ||||
\(279\) | 1.52033 | + | 2.58623i | 0.0910196 | + | 0.154834i | ||||
\(280\) | −0.215449 | − | 1.11395i | −0.0128756 | − | 0.0665713i | ||||
\(281\) | − | 1.91141i | − | 0.114025i | −0.998373 | − | 0.0570126i | \(-0.981842\pi\) | ||
0.998373 | − | 0.0570126i | \(-0.0181575\pi\) | |||||||
\(282\) | 8.81394 | + | 5.04276i | 0.524862 | + | 0.300292i | ||||
\(283\) | 18.8289 | − | 18.8289i | 1.11926 | − | 1.11926i | 0.127413 | − | 0.991850i | \(-0.459333\pi\) |
0.991850 | − | 0.127413i | \(-0.0406672\pi\) | |||||||
\(284\) | 2.88620 | 0.171264 | ||||||||
\(285\) | −13.5567 | − | 4.62272i | −0.803031 | − | 0.273826i | ||||
\(286\) | 4.81422 | 0.284671 | ||||||||
\(287\) | 3.50591 | − | 3.50591i | 0.206947 | − | 0.206947i | ||||
\(288\) | 2.90378 | + | 0.753709i | 0.171107 | + | 0.0444127i | ||||
\(289\) | − | 9.75441i | − | 0.573789i | ||||||
\(290\) | −10.6661 | + | 15.7813i | −0.626336 | + | 0.926711i | ||||
\(291\) | −2.39146 | + | 0.650852i | −0.140190 | + | 0.0381536i | ||||
\(292\) | −9.70365 | − | 9.70365i | −0.567863 | − | 0.567863i | ||||
\(293\) | −13.7308 | − | 13.7308i | −0.802162 | − | 0.802162i | 0.181271 | − | 0.983433i | \(-0.441979\pi\) |
−0.983433 | + | 0.181271i | \(0.941979\pi\) | |||||||
\(294\) | 11.2685 | − | 3.06681i | 0.657195 | − | 0.178860i | ||||
\(295\) | −4.12247 | + | 0.797328i | −0.240019 | + | 0.0464222i | ||||
\(296\) | 2.72669i | 0.158486i | ||||||||
\(297\) | 0.119495 | + | 10.1580i | 0.00693377 | + | 0.589429i | ||||
\(298\) | −0.582262 | + | 0.582262i | −0.0337295 | + | 0.0337295i | ||||
\(299\) | 21.8626 | 1.26435 | ||||||||
\(300\) | 8.57843 | + | 1.18768i | 0.495276 | + | 0.0685709i | ||||
\(301\) | 1.08909 | 0.0627741 | ||||||||
\(302\) | −8.24652 | + | 8.24652i | −0.474534 | + | 0.474534i | ||||
\(303\) | 0.478902 | + | 0.273996i | 0.0275122 | + | 0.0157407i | ||||
\(304\) | 3.69824i | 0.212108i | ||||||||
\(305\) | −23.0967 | + | 4.46713i | −1.32251 | + | 0.255787i | ||||
\(306\) | −13.3772 | + | 7.86385i | −0.764724 | + | 0.449546i | ||||
\(307\) | 19.1173 | + | 19.1173i | 1.09108 | + | 1.09108i | 0.995413 | + | 0.0956661i | \(0.0304981\pi\) |
0.0956661 | + | 0.995413i | \(0.469502\pi\) | |||||||
\(308\) | −0.701453 | − | 0.701453i | −0.0399690 | − | 0.0399690i | ||||
\(309\) | 7.10636 | + | 26.1113i | 0.404267 | + | 1.48542i | ||||
\(310\) | 1.25213 | − | 1.85261i | 0.0711160 | − | 0.105221i | ||||
\(311\) | − | 6.25550i | − | 0.354717i | −0.984146 | − | 0.177359i | \(-0.943245\pi\) | ||
0.984146 | − | 0.177359i | \(-0.0567552\pi\) | |||||||
\(312\) | 2.11805 | − | 3.70202i | 0.119911 | − | 0.209585i | ||||
\(313\) | −18.9730 | + | 18.9730i | −1.07242 | + | 1.07242i | −0.0752511 | + | 0.997165i | \(0.523976\pi\) |
−0.997165 | + | 0.0752511i | \(0.976024\pi\) | |||||||
\(314\) | −20.9924 | −1.18467 | ||||||||
\(315\) | 0.213978 | − | 3.39705i | 0.0120563 | − | 0.191402i | ||||
\(316\) | −1.35078 | −0.0759872 | ||||||||
\(317\) | −10.3258 | + | 10.3258i | −0.579954 | + | 0.579954i | −0.934890 | − | 0.354937i | \(-0.884502\pi\) |
0.354937 | + | 0.934890i | \(0.384502\pi\) | |||||||
\(318\) | 11.3641 | − | 19.8626i | 0.637266 | − | 1.11384i | ||||
\(319\) | 16.6539i | 0.932440i | ||||||||
\(320\) | −0.424609 | − | 2.19538i | −0.0237364 | − | 0.122726i | ||||
\(321\) | −1.21384 | − | 4.46009i | −0.0677501 | − | 0.248938i | ||||
\(322\) | −3.18548 | − | 3.18548i | −0.177520 | − | 0.177520i | ||||
\(323\) | −13.5263 | − | 13.5263i | −0.752621 | − | 0.752621i | ||||
\(324\) | 7.86385 | + | 4.37721i | 0.436880 | + | 0.243178i | ||||
\(325\) | 4.83197 | − | 11.3245i | 0.268030 | − | 0.628170i | ||||
\(326\) | 19.4486i | 1.07716i | ||||||||
\(327\) | 0.123198 | + | 0.0704855i | 0.00681284 | + | 0.00389786i | ||||
\(328\) | 6.90947 | − | 6.90947i | 0.381512 | − | 0.381512i | ||||
\(329\) | −2.97479 | −0.164005 | ||||||||
\(330\) | 6.79561 | − | 3.33960i | 0.374086 | − | 0.183839i | ||||
\(331\) | 2.07714 | 0.114170 | 0.0570850 | − | 0.998369i | \(-0.481819\pi\) | ||||
0.0570850 | + | 0.998369i | \(0.481819\pi\) | |||||||
\(332\) | 2.46289 | − | 2.46289i | 0.135169 | − | 0.135169i | ||||
\(333\) | −2.05513 | + | 7.91771i | −0.112621 | + | 0.433888i | ||||
\(334\) | − | 25.1327i | − | 1.37520i | ||||||
\(335\) | 20.5991 | + | 13.9223i | 1.12545 | + | 0.760656i | ||||
\(336\) | −0.848008 | + | 0.230791i | −0.0462626 | + | 0.0125907i | ||||
\(337\) | 7.26005 | + | 7.26005i | 0.395480 | + | 0.395480i | 0.876635 | − | 0.481155i | \(-0.159783\pi\) |
−0.481155 | + | 0.876635i | \(0.659783\pi\) | |||||||
\(338\) | 4.90471 | + | 4.90471i | 0.266781 | + | 0.266781i | ||||
\(339\) | 21.9601 | − | 5.97659i | 1.19271 | − | 0.324604i | ||||
\(340\) | 9.58259 | + | 6.47658i | 0.519689 | + | 0.351242i | ||||
\(341\) | − | 1.95505i | − | 0.105872i | ||||||
\(342\) | −2.78739 | + | 10.7389i | −0.150725 | + | 0.580691i | ||||
\(343\) | −4.93069 | + | 4.93069i | −0.266232 | + | 0.266232i | ||||
\(344\) | 2.14639 | 0.115725 | ||||||||
\(345\) | 30.8606 | − | 15.1660i | 1.66148 | − | 0.816508i | ||||
\(346\) | 3.11875 | 0.167665 | ||||||||
\(347\) | −9.72013 | + | 9.72013i | −0.521804 | + | 0.521804i | −0.918116 | − | 0.396312i | \(-0.870290\pi\) |
0.396312 | + | 0.918116i | \(0.370290\pi\) | |||||||
\(348\) | 12.8064 | + | 7.32700i | 0.686497 | + | 0.392768i | ||||
\(349\) | − | 5.23665i | − | 0.280311i | −0.990129 | − | 0.140156i | \(-0.955240\pi\) | ||
0.990129 | − | 0.140156i | \(-0.0447603\pi\) | |||||||
\(350\) | −2.35407 | + | 0.945988i | −0.125830 | + | 0.0505652i | ||||
\(351\) | 8.94059 | − | 9.15344i | 0.477213 | − | 0.488574i | ||||
\(352\) | −1.38243 | − | 1.38243i | −0.0736837 | − | 0.0736837i | ||||
\(353\) | 9.32810 | + | 9.32810i | 0.496485 | + | 0.496485i | 0.910342 | − | 0.413857i | \(-0.135819\pi\) |
−0.413857 | + | 0.910342i | \(0.635819\pi\) | |||||||
\(354\) | 0.854102 | + | 3.13828i | 0.0453950 | + | 0.166798i | ||||
\(355\) | −1.22551 | − | 6.33631i | −0.0650431 | − | 0.336296i | ||||
\(356\) | 0.192825i | 0.0102197i | ||||||||
\(357\) | 2.25746 | − | 3.94569i | 0.119478 | − | 0.208828i | ||||
\(358\) | 2.64291 | − | 2.64291i | 0.139682 | − | 0.139682i | ||||
\(359\) | −15.9315 | −0.840833 | −0.420417 | − | 0.907331i | \(-0.638116\pi\) | ||||
−0.420417 | + | 0.907331i | \(0.638116\pi\) | |||||||
\(360\) | 0.421709 | − | 6.69494i | 0.0222260 | − | 0.352854i | ||||
\(361\) | 5.32305 | 0.280160 | ||||||||
\(362\) | −12.4025 | + | 12.4025i | −0.651863 | + | 0.651863i | ||||
\(363\) | −6.17388 | + | 10.7910i | −0.324044 | + | 0.566379i | ||||
\(364\) | 1.24946i | 0.0654897i | ||||||||
\(365\) | −17.1830 | + | 25.4235i | −0.899398 | + | 1.33073i | ||||
\(366\) | 4.78522 | + | 17.5826i | 0.250127 | + | 0.919058i | ||||
\(367\) | 2.44539 | + | 2.44539i | 0.127648 | + | 0.127648i | 0.768045 | − | 0.640396i | \(-0.221230\pi\) |
−0.640396 | + | 0.768045i | \(0.721230\pi\) | |||||||
\(368\) | −6.27796 | − | 6.27796i | −0.327262 | − | 0.327262i | ||||
\(369\) | 25.2713 | − | 14.8558i | 1.31557 | − | 0.773364i | ||||
\(370\) | 5.98614 | − | 1.15778i | 0.311204 | − | 0.0601901i | ||||
\(371\) | 6.70381i | 0.348045i | ||||||||
\(372\) | −1.50338 | − | 0.860137i | −0.0779468 | − | 0.0445960i | ||||
\(373\) | 14.3557 | − | 14.3557i | 0.743308 | − | 0.743308i | −0.229905 | − | 0.973213i | \(-0.573841\pi\) |
0.973213 | + | 0.229905i | \(0.0738415\pi\) | |||||||
\(374\) | 10.1124 | 0.522901 | ||||||||
\(375\) | −1.03506 | − | 19.3372i | −0.0534505 | − | 0.998571i | ||||
\(376\) | −5.86273 | −0.302347 | ||||||||
\(377\) | 14.8324 | − | 14.8324i | 0.763908 | − | 0.763908i | ||||
\(378\) | −2.63638 | + | 0.0310131i | −0.135601 | + | 0.00159514i | ||||
\(379\) | 13.9990i | 0.719082i | 0.933129 | + | 0.359541i | \(0.117067\pi\) | ||||
−0.933129 | + | 0.359541i | \(0.882933\pi\) | |||||||
\(380\) | 8.11905 | − | 1.57031i | 0.416498 | − | 0.0805550i | ||||
\(381\) | −12.8130 | + | 3.48715i | −0.656432 | + | 0.178652i | ||||
\(382\) | −1.71474 | − | 1.71474i | −0.0877339 | − | 0.0877339i | ||||
\(383\) | −13.5580 | − | 13.5580i | −0.692781 | − | 0.692781i | 0.270062 | − | 0.962843i | \(-0.412956\pi\) |
−0.962843 | + | 0.270062i | \(0.912956\pi\) | |||||||
\(384\) | −1.67126 | + | 0.454844i | −0.0852862 | + | 0.0232112i | ||||
\(385\) | −1.24211 | + | 1.83780i | −0.0633040 | + | 0.0936630i | ||||
\(386\) | 12.1406i | 0.617941i | ||||||||
\(387\) | 6.23263 | + | 1.61775i | 0.316822 | + | 0.0822349i | ||||
\(388\) | 1.01182 | − | 1.01182i | 0.0513675 | − | 0.0513675i | ||||
\(389\) | −7.92369 | −0.401747 | −0.200874 | − | 0.979617i | \(-0.564378\pi\) | ||||
−0.200874 | + | 0.979617i | \(0.564378\pi\) | |||||||
\(390\) | −9.02669 | − | 3.07802i | −0.457084 | − | 0.155862i | ||||
\(391\) | 45.9231 | 2.32243 | ||||||||
\(392\) | −4.76770 | + | 4.76770i | −0.240805 | + | 0.240805i | ||||
\(393\) | −22.5619 | − | 12.9084i | −1.13810 | − | 0.651144i | ||||
\(394\) | 24.3631i | 1.22740i | ||||||||
\(395\) | 0.573553 | + | 2.96547i | 0.0288586 | + | 0.149209i | ||||
\(396\) | −2.97232 | − | 5.05622i | −0.149365 | − | 0.254084i | ||||
\(397\) | −24.9906 | − | 24.9906i | −1.25424 | − | 1.25424i | −0.953801 | − | 0.300440i | \(-0.902866\pi\) |
−0.300440 | − | 0.953801i | \(-0.597134\pi\) | |||||||
\(398\) | 9.61388 | + | 9.61388i | 0.481900 | + | 0.481900i | ||||
\(399\) | −0.853518 | − | 3.13614i | −0.0427294 | − | 0.157003i | ||||
\(400\) | −4.63941 | + | 1.86436i | −0.231971 | + | 0.0932180i | ||||
\(401\) | − | 22.0069i | − | 1.09897i | −0.835502 | − | 0.549487i | \(-0.814823\pi\) | ||
0.835502 | − | 0.549487i | \(-0.185177\pi\) | |||||||
\(402\) | 9.56380 | − | 16.7160i | 0.476999 | − | 0.833719i | ||||
\(403\) | −1.74122 | + | 1.74122i | −0.0867363 | + | 0.0867363i | ||||
\(404\) | −0.318549 | −0.0158484 | ||||||||
\(405\) | 6.27058 | − | 19.1228i | 0.311588 | − | 0.950217i | ||||
\(406\) | −4.32229 | −0.214512 | ||||||||
\(407\) | 3.76946 | − | 3.76946i | 0.186845 | − | 0.186845i | ||||
\(408\) | 4.44903 | − | 7.77620i | 0.220260 | − | 0.384979i | ||||
\(409\) | 10.8865i | 0.538304i | 0.963098 | + | 0.269152i | \(0.0867434\pi\) | ||||
−0.963098 | + | 0.269152i | \(0.913257\pi\) | |||||||
\(410\) | −18.1028 | − | 12.2351i | −0.894032 | − | 0.604249i | ||||
\(411\) | 1.49420 | + | 5.49023i | 0.0737034 | + | 0.270813i | ||||
\(412\) | −11.0476 | − | 11.0476i | −0.544278 | − | 0.544278i | ||||
\(413\) | −0.673733 | − | 0.673733i | −0.0331522 | − | 0.0331522i | ||||
\(414\) | −13.4981 | − | 22.9616i | −0.663393 | − | 1.12850i | ||||
\(415\) | −6.45275 | − | 4.36122i | −0.316753 | − | 0.214084i | ||||
\(416\) | 2.46246i | 0.120732i | ||||||||
\(417\) | −13.8843 | − | 7.94365i | −0.679915 | − | 0.389002i | ||||
\(418\) | 5.11255 | − | 5.11255i | 0.250063 | − | 0.250063i | ||||
\(419\) | 2.09340 | 0.102269 | 0.0511346 | − | 0.998692i | \(-0.483716\pi\) | ||||
0.0511346 | + | 0.998692i | \(0.483716\pi\) | |||||||
\(420\) | 0.866746 | + | 1.76371i | 0.0422929 | + | 0.0860601i | ||||
\(421\) | 34.4422 | 1.67861 | 0.839306 | − | 0.543659i | \(-0.182962\pi\) | ||||
0.839306 | + | 0.543659i | \(0.182962\pi\) | |||||||
\(422\) | 18.7386 | − | 18.7386i | 0.912182 | − | 0.912182i | ||||
\(423\) | −17.0241 | − | 4.41880i | −0.827739 | − | 0.214849i | ||||
\(424\) | 13.2119i | 0.641628i | ||||||||
\(425\) | 10.1497 | − | 23.7875i | 0.492334 | − | 1.15386i | ||||
\(426\) | −4.82359 | + | 1.31277i | −0.233704 | + | 0.0636039i | ||||
\(427\) | −3.77467 | − | 3.77467i | −0.182669 | − | 0.182669i | ||||
\(428\) | 1.88705 | + | 1.88705i | 0.0912142 | + | 0.0912142i | ||||
\(429\) | −8.04583 | + | 2.18972i | −0.388456 | + | 0.105721i | ||||
\(430\) | −0.911376 | − | 4.71214i | −0.0439504 | − | 0.227240i | ||||
\(431\) | − | 24.8456i | − | 1.19677i | −0.801208 | − | 0.598386i | \(-0.795809\pi\) | ||
0.801208 | − | 0.598386i | \(-0.204191\pi\) | |||||||
\(432\) | −5.19579 | + | 0.0611210i | −0.249983 | + | 0.00294068i | ||||
\(433\) | −3.57481 | + | 3.57481i | −0.171794 | + | 0.171794i | −0.787767 | − | 0.615973i | \(-0.788763\pi\) |
0.615973 | + | 0.787767i | \(0.288763\pi\) | |||||||
\(434\) | 0.507406 | 0.0243563 | ||||||||
\(435\) | 10.6478 | − | 31.2261i | 0.510525 | − | 1.49718i | ||||
\(436\) | −0.0819468 | −0.00392454 | ||||||||
\(437\) | 23.2174 | − | 23.2174i | 1.11064 | − | 1.11064i | ||||
\(438\) | 20.6310 | + | 11.8037i | 0.985787 | + | 0.564002i | ||||
\(439\) | 11.5796i | 0.552664i | 0.961062 | + | 0.276332i | \(0.0891190\pi\) | ||||
−0.961062 | + | 0.276332i | \(0.910881\pi\) | |||||||
\(440\) | −2.44797 | + | 3.62195i | −0.116702 | + | 0.172670i | ||||
\(441\) | −17.4378 | + | 10.2509i | −0.830370 | + | 0.488137i | ||||
\(442\) | −9.00640 | − | 9.00640i | −0.428391 | − | 0.428391i | ||||
\(443\) | 8.88709 | + | 8.88709i | 0.422238 | + | 0.422238i | 0.885974 | − | 0.463735i | \(-0.153491\pi\) |
−0.463735 | + | 0.885974i | \(0.653491\pi\) | |||||||
\(444\) | −1.24022 | − | 4.55702i | −0.0588583 | − | 0.216267i | ||||
\(445\) | 0.423326 | − | 0.0818755i | 0.0200676 | − | 0.00388127i | ||||
\(446\) | − | 27.1059i | − | 1.28350i | ||||||
\(447\) | 0.708274 | − | 1.23795i | 0.0335002 | − | 0.0585531i | ||||
\(448\) | 0.358790 | − | 0.358790i | 0.0169512 | − | 0.0169512i | ||||
\(449\) | −9.67396 | −0.456543 | −0.228271 | − | 0.973598i | \(-0.573307\pi\) | ||||
−0.228271 | + | 0.973598i | \(0.573307\pi\) | |||||||
\(450\) | −14.8770 | + | 1.91692i | −0.701309 | + | 0.0903645i | ||||
\(451\) | −19.1037 | −0.899559 | ||||||||
\(452\) | −9.29128 | + | 9.29128i | −0.437025 | + | 0.437025i | ||||
\(453\) | 10.0312 | − | 17.5330i | 0.471308 | − | 0.823772i | ||||
\(454\) | − | 2.77681i | − | 0.130322i | ||||||
\(455\) | 2.74305 | − | 0.530534i | 0.128596 | − | 0.0248718i | ||||
\(456\) | −1.68212 | − | 6.18072i | −0.0787726 | − | 0.289439i | ||||
\(457\) | −4.89450 | − | 4.89450i | −0.228955 | − | 0.228955i | 0.583301 | − | 0.812256i | \(-0.301761\pi\) |
−0.812256 | + | 0.583301i | \(0.801761\pi\) | |||||||
\(458\) | 0.938050 | + | 0.938050i | 0.0438322 | + | 0.0438322i | ||||
\(459\) | 18.7800 | − | 19.2271i | 0.876575 | − | 0.897444i | ||||
\(460\) | −11.1169 | + | 16.4482i | −0.518326 | + | 0.766902i | ||||
\(461\) | − | 26.4567i | − | 1.23221i | −0.787663 | − | 0.616107i | \(-0.788709\pi\) | ||
0.787663 | − | 0.616107i | \(-0.211291\pi\) | |||||||
\(462\) | 1.49136 | + | 0.853259i | 0.0693845 | + | 0.0396972i | ||||
\(463\) | −22.0172 | + | 22.0172i | −1.02323 | + | 1.02323i | −0.0235013 | + | 0.999724i | \(0.507481\pi\) |
−0.999724 | + | 0.0235013i | \(0.992519\pi\) | |||||||
\(464\) | −8.51841 | −0.395457 | ||||||||
\(465\) | −1.24998 | + | 3.66573i | −0.0579664 | + | 0.169994i | ||||
\(466\) | 10.0118 | 0.463787 | ||||||||
\(467\) | −12.2168 | + | 12.2168i | −0.565327 | + | 0.565327i | −0.930816 | − | 0.365489i | \(-0.880902\pi\) |
0.365489 | + | 0.930816i | \(0.380902\pi\) | |||||||
\(468\) | −1.85598 | + | 7.15042i | −0.0857925 | + | 0.330528i | ||||
\(469\) | 5.64180i | 0.260514i | ||||||||
\(470\) | 2.48937 | + | 12.8709i | 0.114826 | + | 0.593692i | ||||
\(471\) | 35.0839 | − | 9.54829i | 1.61658 | − | 0.439962i | ||||
\(472\) | −1.32780 | − | 1.32780i | −0.0611169 | − | 0.0611169i | ||||
\(473\) | −2.96723 | − | 2.96723i | −0.136433 | − | 0.136433i | ||||
\(474\) | 2.25750 | − | 0.614393i | 0.103691 | − | 0.0282200i | ||||
\(475\) | −6.89485 | − | 17.1576i | −0.316357 | − | 0.787247i | ||||
\(476\) | 2.62454i | 0.120296i | ||||||||
\(477\) | −9.95795 | + | 38.3645i | −0.455943 | + | 1.75659i | ||||
\(478\) | −6.85809 | + | 6.85809i | −0.313682 | + | 0.313682i | ||||
\(479\) | −1.13514 | −0.0518660 | −0.0259330 | − | 0.999664i | \(-0.508256\pi\) | ||||
−0.0259330 | + | 0.999664i | \(0.508256\pi\) | |||||||
\(480\) | 1.70819 | + | 3.47593i | 0.0779679 | + | 0.158654i | ||||
\(481\) | −6.71436 | −0.306149 | ||||||||
\(482\) | 0.955658 | − | 0.955658i | 0.0435290 | − | 0.0435290i | ||||
\(483\) | 6.77266 | + | 3.87487i | 0.308167 | + | 0.176313i | ||||
\(484\) | − | 7.17778i | − | 0.326263i | ||||||
\(485\) | −2.65097 | − | 1.79171i | −0.120374 | − | 0.0813573i | ||||
\(486\) | −15.1335 | − | 3.73863i | −0.686469 | − | 0.169588i | ||||
\(487\) | −25.5727 | − | 25.5727i | −1.15881 | − | 1.15881i | −0.984732 | − | 0.174080i | \(-0.944305\pi\) |
−0.174080 | − | 0.984732i | \(-0.555695\pi\) | |||||||
\(488\) | −7.43916 | − | 7.43916i | −0.336755 | − | 0.336755i | ||||
\(489\) | −8.84610 | − | 32.5038i | −0.400034 | − | 1.46987i | ||||
\(490\) | 12.4913 | + | 8.44251i | 0.564301 | + | 0.381394i | ||||
\(491\) | − | 6.43538i | − | 0.290425i | −0.989401 | − | 0.145212i | \(-0.953613\pi\) | ||
0.989401 | − | 0.145212i | \(-0.0463865\pi\) | |||||||
\(492\) | −8.40481 | + | 14.6903i | −0.378918 | + | 0.662289i | ||||
\(493\) | 31.1560 | − | 31.1560i | 1.40319 | − | 1.40319i | ||||
\(494\) | −9.10674 | −0.409732 | ||||||||
\(495\) | −9.83826 | + | 8.67229i | −0.442197 | + | 0.389790i | ||||
\(496\) | 1.00000 | 0.0449013 | ||||||||
\(497\) | 1.03554 | − | 1.03554i | 0.0464503 | − | 0.0464503i | ||||
\(498\) | −2.99590 | + | 5.23637i | −0.134250 | + | 0.234647i | ||||
\(499\) | 2.13426i | 0.0955426i | 0.998858 | + | 0.0477713i | \(0.0152119\pi\) | ||||
−0.998858 | + | 0.0477713i | \(0.984788\pi\) | |||||||
\(500\) | 6.06293 | + | 9.39366i | 0.271142 | + | 0.420097i | ||||
\(501\) | 11.4314 | + | 42.0033i | 0.510719 | + | 1.87657i | ||||
\(502\) | 14.3919 | + | 14.3919i | 0.642343 | + | 0.642343i | ||||
\(503\) | −16.0055 | − | 16.0055i | −0.713652 | − | 0.713652i | 0.253645 | − | 0.967297i | \(-0.418370\pi\) |
−0.967297 | + | 0.253645i | \(0.918370\pi\) | |||||||
\(504\) | 1.31227 | − | 0.771423i | 0.0584532 | − | 0.0343619i | ||||
\(505\) | 0.135259 | + | 0.699338i | 0.00601895 | + | 0.0311201i | ||||
\(506\) | 17.3577i | 0.771643i | ||||||||
\(507\) | −10.4279 | − | 5.96618i | −0.463121 | − | 0.264967i | ||||
\(508\) | 5.42117 | − | 5.42117i | 0.240525 | − | 0.240525i | ||||
\(509\) | 0.206280 | 0.00914319 | 0.00457160 | − | 0.999990i | \(-0.498545\pi\) | ||||
0.00457160 | + | 0.999990i | \(0.498545\pi\) | |||||||
\(510\) | −18.9608 | − | 6.46548i | −0.839601 | − | 0.286296i | ||||
\(511\) | −6.96315 | −0.308032 | ||||||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −0.226040 | − | 19.2153i | −0.00997990 | − | 0.848375i | ||||
\(514\) | − | 25.3385i | − | 1.11763i | ||||||
\(515\) | −19.5629 | + | 28.9448i | −0.862044 | + | 1.27546i | ||||
\(516\) | −3.58717 | + | 0.976271i | −0.157917 | + | 0.0429780i | ||||
\(517\) | 8.10481 | + | 8.10481i | 0.356449 | + | 0.356449i | ||||
\(518\) | 0.978311 | + | 0.978311i | 0.0429845 | + | 0.0429845i | ||||
\(519\) | −5.21225 | + | 1.41854i | −0.228792 | + | 0.0622672i | ||||
\(520\) | 5.40603 | − | 1.04558i | 0.237070 | − | 0.0458518i | ||||
\(521\) | 16.7588i | 0.734215i | 0.930178 | + | 0.367108i | \(0.119652\pi\) | ||||
−0.930178 | + | 0.367108i | \(0.880348\pi\) | |||||||
\(522\) | −24.7356 | − | 6.42040i | −1.08265 | − | 0.281013i | ||||
\(523\) | 17.4085 | − | 17.4085i | 0.761219 | − | 0.761219i | −0.215324 | − | 0.976543i | \(-0.569081\pi\) |
0.976543 | + | 0.215324i | \(0.0690807\pi\) | |||||||
\(524\) | 15.0074 | 0.655601 | ||||||||
\(525\) | 3.50398 | − | 2.65173i | 0.152926 | − | 0.115731i | ||||
\(526\) | 20.2025 | 0.880869 | ||||||||
\(527\) | −3.65749 | + | 3.65749i | −0.159323 | + | 0.159323i | ||||
\(528\) | 2.93919 | + | 1.68161i | 0.127912 | + | 0.0731827i | ||||
\(529\) | 55.8257i | 2.42720i | ||||||||
\(530\) | 29.0052 | − | 5.60991i | 1.25991 | − | 0.243679i | ||||
\(531\) | −2.85486 | − | 4.85641i | −0.123890 | − | 0.210750i | ||||
\(532\) | 1.32689 | + | 1.32689i | 0.0575280 | + | 0.0575280i | ||||
\(533\) | 17.0143 | + | 17.0143i | 0.736970 | + | 0.736970i | ||||
\(534\) | −0.0877056 | − | 0.322262i | −0.00379539 | − | 0.0139456i | ||||
\(535\) | 3.34155 | − | 4.94407i | 0.144468 | − | 0.213751i | ||||
\(536\) | 11.1189i | 0.480264i | ||||||||
\(537\) | −3.21489 | + | 5.61912i | −0.138733 | + | 0.242483i | ||||
\(538\) | −1.61323 | + | 1.61323i | −0.0695514 | + | 0.0695514i | ||||
\(539\) | 13.1820 | 0.567789 | ||||||||
\(540\) | 2.34037 | + | 11.3808i | 0.100713 | + | 0.489752i | ||||
\(541\) | −29.6653 | −1.27541 | −0.637705 | − | 0.770281i | \(-0.720116\pi\) | ||||
−0.637705 | + | 0.770281i | \(0.720116\pi\) | |||||||
\(542\) | 11.7489 | − | 11.7489i | 0.504657 | − | 0.504657i | ||||
\(543\) | 15.0867 | − | 26.3691i | 0.647431 | − | 1.13161i | ||||
\(544\) | 5.17247i | 0.221768i | ||||||||
\(545\) | 0.0347954 | + | 0.179905i | 0.00149047 | + | 0.00770627i | ||||
\(546\) | −0.568312 | − | 2.08818i | −0.0243215 | − | 0.0893660i | ||||
\(547\) | −2.72287 | − | 2.72287i | −0.116421 | − | 0.116421i | 0.646496 | − | 0.762917i | \(-0.276234\pi\) |
−0.762917 | + | 0.646496i | \(0.776234\pi\) | |||||||
\(548\) | −2.32290 | − | 2.32290i | −0.0992295 | − | 0.0992295i | ||||
\(549\) | −15.9947 | − | 27.2086i | −0.682637 | − | 1.16124i | ||||
\(550\) | 8.99101 | + | 3.83631i | 0.383378 | + | 0.163581i | ||||
\(551\) | − | 31.5031i | − | 1.34208i | ||||||
\(552\) | 13.3476 | + | 7.63663i | 0.568112 | + | 0.325036i | ||||
\(553\) | −0.484646 | + | 0.484646i | −0.0206092 | + | 0.0206092i | ||||
\(554\) | −12.2163 | −0.519022 | ||||||||
\(555\) | −9.47779 | + | 4.65771i | −0.402310 | + | 0.197709i | ||||
\(556\) | 9.23533 | 0.391665 | ||||||||
\(557\) | −10.5384 | + | 10.5384i | −0.446526 | + | 0.446526i | −0.894198 | − | 0.447672i | \(-0.852253\pi\) |
0.447672 | + | 0.894198i | \(0.352253\pi\) | |||||||
\(558\) | 2.90378 | + | 0.753709i | 0.122927 | + | 0.0319071i | ||||
\(559\) | 5.28538i | 0.223548i | ||||||||
\(560\) | −0.940028 | − | 0.635336i | −0.0397234 | − | 0.0268479i | ||||
\(561\) | −16.9005 | + | 4.59958i | −0.713541 | + | 0.194194i | ||||
\(562\) | −1.35157 | − | 1.35157i | −0.0570126 | − | 0.0570126i | ||||
\(563\) | 23.4280 | + | 23.4280i | 0.987372 | + | 0.987372i | 0.999921 | − | 0.0125491i | \(-0.00399462\pi\) |
−0.0125491 | + | 0.999921i | \(0.503995\pi\) | |||||||
\(564\) | 9.79816 | − | 2.66663i | 0.412577 | − | 0.112285i | ||||
\(565\) | 24.3431 | + | 16.4528i | 1.02412 | + | 0.692173i | ||||
\(566\) | − | 26.6281i | − | 1.11926i | ||||||
\(567\) | 4.39197 | − | 1.25097i | 0.184445 | − | 0.0525359i | ||||
\(568\) | 2.04085 | − | 2.04085i | 0.0856321 | − | 0.0856321i | ||||
\(569\) | 7.44387 | 0.312063 | 0.156032 | − | 0.987752i | \(-0.450130\pi\) | ||||
0.156032 | + | 0.987752i | \(0.450130\pi\) | |||||||
\(570\) | −12.8548 | + | 6.31729i | −0.538429 | + | 0.264602i | ||||
\(571\) | −11.8316 | −0.495136 | −0.247568 | − | 0.968870i | \(-0.579631\pi\) | ||||
−0.247568 | + | 0.968870i | \(0.579631\pi\) | |||||||
\(572\) | 3.40417 | − | 3.40417i | 0.142335 | − | 0.142335i | ||||
\(573\) | 3.64573 | + | 2.08584i | 0.152302 | + | 0.0871374i | ||||
\(574\) | − | 4.95810i | − | 0.206947i | ||||||
\(575\) | 40.8305 | + | 17.4217i | 1.70275 | + | 0.726534i | ||||
\(576\) | 2.58623 | − | 1.52033i | 0.107760 | − | 0.0633470i | ||||
\(577\) | −14.3674 | − | 14.3674i | −0.598122 | − | 0.598122i | 0.341691 | − | 0.939812i | \(-0.389000\pi\) |
−0.939812 | + | 0.341691i | \(0.889000\pi\) | |||||||
\(578\) | −6.89741 | − | 6.89741i | −0.286895 | − | 0.286895i | ||||
\(579\) | −5.52209 | − | 20.2901i | −0.229490 | − | 0.843230i | ||||
\(580\) | 3.61700 | + | 18.7012i | 0.150188 | + | 0.776524i | ||||
\(581\) | − | 1.76732i | − | 0.0733209i | ||||||
\(582\) | −1.23080 | + | 2.15124i | −0.0510183 | + | 0.0891719i | ||||
\(583\) | 18.2646 | − | 18.2646i | 0.756441 | − | 0.756441i | ||||
\(584\) | −13.7230 | −0.567863 | ||||||||
\(585\) | 16.4860 | + | 1.03844i | 0.681611 | + | 0.0429342i | ||||
\(586\) | −19.4183 | −0.802162 | ||||||||
\(587\) | 4.80609 | − | 4.80609i | 0.198368 | − | 0.198368i | −0.600932 | − | 0.799300i | \(-0.705204\pi\) |
0.799300 | + | 0.600932i | \(0.205204\pi\) | |||||||
\(588\) | 5.79951 | − | 10.1366i | 0.239168 | − | 0.418027i | ||||
\(589\) | 3.69824i | 0.152383i | ||||||||
\(590\) | −2.35123 | + | 3.47882i | −0.0967986 | + | 0.143221i | ||||
\(591\) | −11.0814 | − | 40.7172i | −0.455829 | − | 1.67488i | ||||
\(592\) | 1.92806 | + | 1.92806i | 0.0792429 | + | 0.0792429i | ||||
\(593\) | 14.6591 | + | 14.6591i | 0.601979 | + | 0.601979i | 0.940837 | − | 0.338859i | \(-0.110041\pi\) |
−0.338859 | + | 0.940837i | \(0.610041\pi\) | |||||||
\(594\) | 7.26731 | + | 7.09832i | 0.298181 | + | 0.291248i | ||||
\(595\) | 5.76187 | − | 1.11440i | 0.236214 | − | 0.0456861i | ||||
\(596\) | 0.823443i | 0.0337295i | ||||||||
\(597\) | −20.4401 | − | 11.6945i | −0.836559 | − | 0.478624i | ||||
\(598\) | 15.4592 | − | 15.4592i | 0.632174 | − | 0.632174i | ||||
\(599\) | −39.4780 | −1.61303 | −0.806514 | − | 0.591215i | \(-0.798648\pi\) | ||||
−0.806514 | + | 0.591215i | \(0.798648\pi\) | |||||||
\(600\) | 6.90568 | − | 5.22605i | 0.281923 | − | 0.213352i | ||||
\(601\) | −15.1492 | −0.617950 | −0.308975 | − | 0.951070i | \(-0.599986\pi\) | ||||
−0.308975 | + | 0.951070i | \(0.599986\pi\) | |||||||
\(602\) | 0.770102 | − | 0.770102i | 0.0313870 | − | 0.0313870i | ||||
\(603\) | −8.38043 | + | 32.2869i | −0.341277 | + | 1.31482i | ||||
\(604\) | 11.6623i | 0.474534i | ||||||||
\(605\) | −15.7580 | + | 3.04775i | −0.640653 | + | 0.123909i | ||||
\(606\) | 0.532380 | − | 0.144890i | 0.0216264 | − | 0.00588577i | ||||
\(607\) | 14.2742 | + | 14.2742i | 0.579373 | + | 0.579373i | 0.934730 | − | 0.355357i | \(-0.115641\pi\) |
−0.355357 | + | 0.934730i | \(0.615641\pi\) | |||||||
\(608\) | 2.61505 | + | 2.61505i | 0.106054 | + | 0.106054i | ||||
\(609\) | 7.22368 | − | 1.96597i | 0.292718 | − | 0.0796651i | ||||
\(610\) | −13.1731 | + | 19.4905i | −0.533362 | + | 0.789149i | ||||
\(611\) | − | 14.4367i | − | 0.584047i | ||||||
\(612\) | −3.89854 | + | 15.0197i | −0.157589 | + | 0.607135i | ||||
\(613\) | 9.44047 | − | 9.44047i | 0.381297 | − | 0.381297i | −0.490272 | − | 0.871569i | \(-0.663103\pi\) |
0.871569 | + | 0.490272i | \(0.163103\pi\) | |||||||
\(614\) | 27.0359 | 1.09108 | ||||||||
\(615\) | 35.8195 | + | 12.2141i | 1.44438 | + | 0.492522i | ||||
\(616\) | −0.992004 | −0.0399690 | ||||||||
\(617\) | 33.3329 | − | 33.3329i | 1.34193 | − | 1.34193i | 0.447800 | − | 0.894134i | \(-0.352208\pi\) |
0.894134 | − | 0.447800i | \(-0.147792\pi\) | |||||||
\(618\) | 23.4885 | + | 13.4386i | 0.944845 | + | 0.540578i | ||||
\(619\) | − | 33.8700i | − | 1.36135i | −0.732584 | − | 0.680676i | \(-0.761686\pi\) | ||
0.732584 | − | 0.680676i | \(-0.238314\pi\) | |||||||
\(620\) | −0.424609 | − | 2.19538i | −0.0170527 | − | 0.0881687i | ||||
\(621\) | 33.0027 | + | 32.2353i | 1.32435 | + | 1.29356i | ||||
\(622\) | −4.42331 | − | 4.42331i | −0.177359 | − | 0.177359i | ||||
\(623\) | 0.0691839 | + | 0.0691839i | 0.00277179 | + | 0.00277179i | ||||
\(624\) | −1.12003 | − | 4.11541i | −0.0448372 | − | 0.164748i | ||||
\(625\) | 18.0483 | − | 17.2991i | 0.721933 | − | 0.691963i | ||||
\(626\) | 26.8318i | 1.07242i | ||||||||
\(627\) | −6.21900 | + | 10.8698i | −0.248363 | + | 0.434099i | ||||
\(628\) | −14.8439 | + | 14.8439i | −0.592336 | + | 0.592336i | ||||
\(629\) | −14.1037 | −0.562353 | ||||||||
\(630\) | −2.25077 | − | 2.55338i | −0.0896729 | − | 0.101729i | ||||
\(631\) | 2.45690 | 0.0978076 | 0.0489038 | − | 0.998803i | \(-0.484427\pi\) | ||||
0.0489038 | + | 0.998803i | \(0.484427\pi\) | |||||||
\(632\) | −0.955144 | + | 0.955144i | −0.0379936 | + | 0.0379936i | ||||
\(633\) | −22.7940 | + | 39.8403i | −0.905980 | + | 1.58351i | ||||
\(634\) | 14.6029i | 0.579954i | ||||||||
\(635\) | −14.2034 | − | 9.59966i | −0.563645 | − | 0.380951i | ||||
\(636\) | −6.00937 | − | 22.0806i | −0.238287 | − | 0.875553i | ||||
\(637\) | −11.7402 | − | 11.7402i | −0.465165 | − | 0.465165i | ||||
\(638\) | 11.7761 | + | 11.7761i | 0.466220 | + | 0.466220i | ||||
\(639\) | 7.46438 | − | 4.38796i | 0.295286 | − | 0.173585i | ||||
\(640\) | −1.85261 | − | 1.25213i | −0.0732310 | − | 0.0494946i | ||||
\(641\) | 25.5355i | 1.00859i | 0.863531 | + | 0.504297i | \(0.168248\pi\) | ||||
−0.863531 | + | 0.504297i | \(0.831752\pi\) | |||||||
\(642\) | −4.01208 | − | 2.29545i | −0.158344 | − | 0.0905941i | ||||
\(643\) | −14.0125 | + | 14.0125i | −0.552597 | + | 0.552597i | −0.927190 | − | 0.374592i | \(-0.877783\pi\) |
0.374592 | + | 0.927190i | \(0.377783\pi\) | |||||||
\(644\) | −4.50494 | −0.177520 | ||||||||
\(645\) | 3.66644 | + | 7.46069i | 0.144366 | + | 0.293764i | ||||
\(646\) | −19.1290 | −0.752621 | ||||||||
\(647\) | 19.0335 | − | 19.0335i | 0.748283 | − | 0.748283i | −0.225874 | − | 0.974157i | \(-0.572524\pi\) |
0.974157 | + | 0.225874i | \(0.0725238\pi\) | |||||||
\(648\) | 8.65573 | − | 2.46543i | 0.340029 | − | 0.0968511i | ||||
\(649\) | 3.67117i | 0.144106i | ||||||||
\(650\) | −4.59091 | − | 11.4244i | −0.180070 | − | 0.448100i | ||||
\(651\) | −0.848008 | + | 0.230791i | −0.0332361 | + | 0.00904540i | ||||
\(652\) | 13.7523 | + | 13.7523i | 0.538580 | + | 0.538580i | ||||
\(653\) | 12.3516 | + | 12.3516i | 0.483355 | + | 0.483355i | 0.906201 | − | 0.422846i | \(-0.138969\pi\) |
−0.422846 | + | 0.906201i | \(0.638969\pi\) | |||||||
\(654\) | 0.136955 | − | 0.0372730i | 0.00535535 | − | 0.00145749i | ||||
\(655\) | −6.37228 | − | 32.9470i | −0.248986 | − | 1.28735i | ||||
\(656\) | − | 9.77147i | − | 0.381512i | ||||||
\(657\) | −39.8486 | − | 10.3432i | −1.55464 | − | 0.403526i | ||||
\(658\) | −2.10349 | + | 2.10349i | −0.0820026 | + | 0.0820026i | ||||
\(659\) | −35.0699 | −1.36613 | −0.683065 | − | 0.730358i | \(-0.739353\pi\) | ||||
−0.683065 | + | 0.730358i | \(0.739353\pi\) | |||||||
\(660\) | 2.44377 | − | 7.16668i | 0.0951237 | − | 0.278963i | ||||
\(661\) | 1.85106 | 0.0719978 | 0.0359989 | − | 0.999352i | \(-0.488539\pi\) | ||||
0.0359989 | + | 0.999352i | \(0.488539\pi\) | |||||||
\(662\) | 1.46876 | − | 1.46876i | 0.0570850 | − | 0.0570850i | ||||
\(663\) | 19.1486 | + | 10.9555i | 0.743668 | + | 0.425478i | ||||
\(664\) | − | 3.48305i | − | 0.135169i | ||||||
\(665\) | 2.34962 | − | 3.47644i | 0.0911145 | − | 0.134811i | ||||
\(666\) | 4.14547 | + | 7.05186i | 0.160634 | + | 0.273254i | ||||
\(667\) | 53.4782 | + | 53.4782i | 2.07069 | + | 2.07069i | ||||
\(668\) | −17.7715 | − | 17.7715i | −0.687599 | − | 0.687599i | ||||
\(669\) | 12.3290 | + | 45.3011i | 0.476666 | + | 1.75144i | ||||
\(670\) | 24.4103 | − | 4.72120i | 0.943052 | − | 0.182396i | ||||
\(671\) | 20.5682i | 0.794027i | ||||||||
\(672\) | −0.436439 | + | 0.762826i | −0.0168360 | + | 0.0294267i | ||||
\(673\) | −8.95618 | + | 8.95618i | −0.345236 | + | 0.345236i | −0.858331 | − | 0.513096i | \(-0.828499\pi\) |
0.513096 | + | 0.858331i | \(0.328499\pi\) | |||||||
\(674\) | 10.2673 | 0.395480 | ||||||||
\(675\) | 23.9915 | − | 9.97040i | 0.923433 | − | 0.383761i | ||||
\(676\) | 6.93631 | 0.266781 | ||||||||
\(677\) | 18.2690 | − | 18.2690i | 0.702136 | − | 0.702136i | −0.262733 | − | 0.964869i | \(-0.584624\pi\) |
0.964869 | + | 0.262733i | \(0.0846237\pi\) | |||||||
\(678\) | 11.3021 | − | 19.7543i | 0.434054 | − | 0.758658i | ||||
\(679\) | − | 0.726064i | − | 0.0278638i | ||||||
\(680\) | 11.3555 | − | 2.19628i | 0.435465 | − | 0.0842234i | ||||
\(681\) | 1.26302 | + | 4.64078i | 0.0483989 | + | 0.177835i | ||||
\(682\) | −1.38243 | − | 1.38243i | −0.0529359 | − | 0.0529359i | ||||
\(683\) | 10.9514 | + | 10.9514i | 0.419044 | + | 0.419044i | 0.884874 | − | 0.465830i | \(-0.154244\pi\) |
−0.465830 | + | 0.884874i | \(0.654244\pi\) | |||||||
\(684\) | 5.62253 | + | 9.56450i | 0.214983 | + | 0.365708i | ||||
\(685\) | −4.11333 | + | 6.08599i | −0.157162 | + | 0.232534i | ||||
\(686\) | 6.97305i | 0.266232i | ||||||||
\(687\) | −1.99439 | − | 1.14106i | −0.0760909 | − | 0.0435342i | ||||
\(688\) | 1.51772 | − | 1.51772i | 0.0578627 | − | 0.0578627i | ||||
\(689\) | −32.5338 | −1.23944 | ||||||||
\(690\) | 11.0978 | − | 32.5457i | 0.422486 | − | 1.23899i | ||||
\(691\) | −27.1310 | −1.03211 | −0.516056 | − | 0.856555i | \(-0.672600\pi\) | ||||
−0.516056 | + | 0.856555i | \(0.672600\pi\) | |||||||
\(692\) | 2.20529 | − | 2.20529i | 0.0838325 | − | 0.0838325i | ||||
\(693\) | −2.88056 | − | 0.747682i | −0.109423 | − | 0.0284021i | ||||
\(694\) | 13.7463i | 0.521804i | ||||||||
\(695\) | −3.92141 | − | 20.2751i | −0.148748 | − | 0.769078i | ||||
\(696\) | 14.2365 | − | 3.87455i | 0.539633 | − | 0.146864i | ||||
\(697\) | 35.7390 | + | 35.7390i | 1.35371 | + | 1.35371i | ||||
\(698\) | −3.70287 | − | 3.70287i | −0.140156 | − | 0.140156i | ||||
\(699\) | −16.7323 | + | 4.55380i | −0.632874 | + | 0.172241i | ||||
\(700\) | −0.995662 | + | 2.33349i | −0.0376325 | + | 0.0881976i | ||||
\(701\) | 31.7577i | 1.19947i | 0.800198 | + | 0.599736i | \(0.204728\pi\) | ||||
−0.800198 | + | 0.599736i | \(0.795272\pi\) | |||||||
\(702\) | −0.150508 | − | 12.7944i | −0.00568054 | − | 0.482894i | ||||
\(703\) | −7.13043 | + | 7.13043i | −0.268929 | + | 0.268929i | ||||
\(704\) | −1.95505 | −0.0736837 | ||||||||
\(705\) | −10.0147 | − | 20.3784i | −0.377174 | − | 0.767497i | ||||
\(706\) | 13.1919 | 0.496485 | ||||||||
\(707\) | −0.114292 | + | 0.114292i | −0.00429841 | + | 0.00429841i | ||||
\(708\) | 2.82304 | + | 1.61516i | 0.106096 | + | 0.0607013i | ||||
\(709\) | 5.36101i | 0.201337i | 0.994920 | + | 0.100668i | \(0.0320981\pi\) | ||||
−0.994920 | + | 0.100668i | \(0.967902\pi\) | |||||||
\(710\) | −5.34701 | − | 3.61388i | −0.200670 | − | 0.135627i | ||||
\(711\) | −3.49343 | + | 2.05362i | −0.131014 | + | 0.0770169i | ||||
\(712\) | 0.136348 | + | 0.136348i | 0.00510986 | + | 0.00510986i | ||||
\(713\) | −6.27796 | − | 6.27796i | −0.235112 | − | 0.235112i | ||||
\(714\) | −1.19376 | − | 4.38629i | −0.0446752 | − | 0.164153i | ||||
\(715\) | −8.91890 | − | 6.02801i | −0.333548 | − | 0.225435i | ||||
\(716\) | − | 3.73765i | − | 0.139682i | ||||||
\(717\) | 8.34230 | − | 14.5810i | 0.311549 | − | 0.544538i | ||||
\(718\) | −11.2653 | + | 11.2653i | −0.420417 | + | 0.420417i | ||||
\(719\) | −15.2611 | −0.569144 | −0.284572 | − | 0.958655i | \(-0.591852\pi\) | ||||
−0.284572 | + | 0.958655i | \(0.591852\pi\) | |||||||
\(720\) | −4.43584 | − | 5.03223i | −0.165314 | − | 0.187540i | ||||
\(721\) | −7.92757 | −0.295238 | ||||||||
\(722\) | 3.76396 | − | 3.76396i | 0.140080 | − | 0.140080i | ||||
\(723\) | −1.16248 | + | 2.03183i | −0.0432331 | + | 0.0755646i | ||||
\(724\) | 17.5399i | 0.651863i | ||||||||
\(725\) | 39.5204 | − | 15.8814i | 1.46775 | − | 0.589820i | ||||
\(726\) | 3.26477 | + | 11.9960i | 0.121167 | + | 0.445212i | ||||
\(727\) | 14.7117 | + | 14.7117i | 0.545625 | + | 0.545625i | 0.925172 | − | 0.379547i | \(-0.123920\pi\) |
−0.379547 | + | 0.925172i | \(0.623920\pi\) | |||||||
\(728\) | 0.883505 | + | 0.883505i | 0.0327449 | + | 0.0327449i | ||||
\(729\) | 26.9925 | − | 0.635144i | 0.999723 | − | 0.0235238i | ||||
\(730\) | 5.82693 | + | 30.1273i | 0.215664 | + | 1.11506i | ||||
\(731\) | 11.1021i | 0.410626i | ||||||||
\(732\) | 15.8164 | + | 9.04913i | 0.584593 | + | 0.334465i | ||||
\(733\) | −21.1638 | + | 21.1638i | −0.781704 | + | 0.781704i | −0.980118 | − | 0.198414i | \(-0.936421\pi\) |
0.198414 | + | 0.980118i | \(0.436421\pi\) | |||||||
\(734\) | 3.45830 | 0.127648 | ||||||||
\(735\) | −24.7163 | − | 8.42804i | −0.911675 | − | 0.310873i | ||||
\(736\) | −8.87838 | −0.327262 | ||||||||
\(737\) | 15.3711 | − | 15.3711i | 0.566202 | − | 0.566202i | ||||
\(738\) | 7.36485 | − | 28.3742i | 0.271104 | − | 1.04447i | ||||
\(739\) | 25.5918i | 0.941410i | 0.882291 | + | 0.470705i | \(0.156000\pi\) | ||||
−0.882291 | + | 0.470705i | \(0.844000\pi\) | |||||||
\(740\) | 3.41416 | − | 5.05151i | 0.125507 | − | 0.185697i | ||||
\(741\) | 15.2198 | − | 4.14215i | 0.559112 | − | 0.152166i | ||||
\(742\) | 4.74031 | + | 4.74031i | 0.174022 | + | 0.174022i | ||||
\(743\) | −13.6274 | − | 13.6274i | −0.499939 | − | 0.499939i | 0.411480 | − | 0.911419i | \(-0.365012\pi\) |
−0.911419 | + | 0.411480i | \(0.865012\pi\) | |||||||
\(744\) | −1.67126 | + | 0.454844i | −0.0612714 | + | 0.0166754i | ||||
\(745\) | 1.80777 | − | 0.349642i | 0.0662317 | − | 0.0128099i | ||||
\(746\) | − | 20.3020i | − | 0.743308i | ||||||
\(747\) | 2.62521 | − | 10.1140i | 0.0960514 | − | 0.370052i | ||||
\(748\) | 7.15057 | − | 7.15057i | 0.261451 | − | 0.261451i | ||||
\(749\) | 1.35411 | 0.0494782 | ||||||||
\(750\) | −14.4054 | − | 12.9416i | −0.526010 | − | 0.472560i | ||||
\(751\) | 3.34996 | 0.122242 | 0.0611209 | − | 0.998130i | \(-0.480532\pi\) | ||||
0.0611209 | + | 0.998130i | \(0.480532\pi\) | |||||||
\(752\) | −4.14558 | + | 4.14558i | −0.151174 | + | 0.151174i | ||||
\(753\) | −30.5988 | − | 17.5066i | −1.11508 | − | 0.637976i | ||||
\(754\) | − | 20.9762i | − | 0.763908i | ||||||
\(755\) | 25.6033 | − | 4.95194i | 0.931800 | − | 0.180220i | ||||
\(756\) | −1.84227 | + | 1.88613i | −0.0670027 | + | 0.0685978i | ||||
\(757\) | −11.0695 | − | 11.0695i | −0.402329 | − | 0.402329i | 0.476724 | − | 0.879053i | \(-0.341824\pi\) |
−0.879053 | + | 0.476724i | \(0.841824\pi\) | |||||||
\(758\) | 9.89882 | + | 9.89882i | 0.359541 | + | 0.359541i | ||||
\(759\) | −7.89504 | − | 29.0092i | −0.286572 | − | 1.05297i | ||||
\(760\) | 4.63066 | − | 6.85141i | 0.167972 | − | 0.248527i | ||||
\(761\) | 13.9912i | 0.507180i | 0.967312 | + | 0.253590i | \(0.0816114\pi\) | ||||
−0.967312 | + | 0.253590i | \(0.918389\pi\) | |||||||
\(762\) | −6.59440 | + | 11.5260i | −0.238890 | + | 0.417542i | ||||
\(763\) | −0.0294017 | + | 0.0294017i | −0.00106441 | + | 0.00106441i | ||||
\(764\) | −2.42501 | −0.0877339 | ||||||||
\(765\) | 34.6293 | + | 2.18128i | 1.25203 | + | 0.0788642i | ||||
\(766\) | −19.1739 | −0.692781 | ||||||||
\(767\) | 3.26965 | − | 3.26965i | 0.118060 | − | 0.118060i | ||||
\(768\) | −0.860137 | + | 1.50338i | −0.0310375 | + | 0.0542487i | ||||
\(769\) | 1.44997i | 0.0522874i | 0.999658 | + | 0.0261437i | \(0.00832275\pi\) | ||||
−0.999658 | + | 0.0261437i | \(0.991677\pi\) | |||||||
\(770\) | 0.421214 | + | 2.17783i | 0.0151795 | + | 0.0784835i | ||||
\(771\) | 11.5251 | + | 42.3473i | 0.415065 | + | 1.52510i | ||||
\(772\) | 8.58471 | + | 8.58471i | 0.308970 | + | 0.308970i | ||||
\(773\) | 6.72297 | + | 6.72297i | 0.241808 | + | 0.241808i | 0.817598 | − | 0.575790i | \(-0.195305\pi\) |
−0.575790 | + | 0.817598i | \(0.695305\pi\) | |||||||
\(774\) | 5.55106 | − | 3.26321i | 0.199529 | − | 0.117294i | ||||
\(775\) | −4.63941 | + | 1.86436i | −0.166653 | + | 0.0669698i | ||||
\(776\) | − | 1.43093i | − | 0.0513675i | ||||||
\(777\) | −2.07999 | − | 1.19003i | −0.0746193 | − | 0.0426922i | ||||
\(778\) | −5.60289 | + | 5.60289i | −0.200874 | + | 0.200874i | ||||
\(779\) | 36.1372 | 1.29475 | ||||||||
\(780\) | −8.55932 | + | 4.20634i | −0.306473 | + | 0.150611i | ||||
\(781\) | −5.64266 | −0.201910 | ||||||||
\(782\) | 32.4726 | − | 32.4726i | 1.16122 | − | 1.16122i | ||||
\(783\) | 44.2599 | − | 0.520653i | 1.58172 | − | 0.0186066i | ||||
\(784\) | 6.74254i | 0.240805i | ||||||||
\(785\) | 38.8909 | + | 26.2852i | 1.38808 | + | 0.938159i | ||||
\(786\) | −25.0813 | + | 6.82603i | −0.894620 | + | 0.243476i | ||||
\(787\) | −7.53390 | − | 7.53390i | −0.268555 | − | 0.268555i | 0.559963 | − | 0.828518i | \(-0.310815\pi\) |
−0.828518 | + | 0.559963i | \(0.810815\pi\) | |||||||
\(788\) | 17.2273 | + | 17.2273i | 0.613698 | + | 0.613698i | ||||
\(789\) | −33.7636 | + | 9.18897i | −1.20202 | + | 0.327136i | ||||
\(790\) | 2.50247 | + | 1.69134i | 0.0890339 | + | 0.0601753i | ||||
\(791\) | 6.66724i | 0.237060i | ||||||||
\(792\) | −5.67703 | − | 1.47354i | −0.201724 | − | 0.0523599i | ||||
\(793\) | 18.3186 | − | 18.3186i | 0.650513 | − | 0.650513i | ||||
\(794\) | −35.3420 | −1.25424 | ||||||||
\(795\) | −45.9237 | + | 22.5685i | −1.62875 | + | 0.800422i | ||||
\(796\) | 13.5961 | 0.481900 | ||||||||
\(797\) | −36.9287 | + | 36.9287i | −1.30808 | + | 1.30808i | −0.385282 | + | 0.922799i | \(0.625896\pi\) |
−0.922799 | + | 0.385282i | \(0.874104\pi\) | |||||||
\(798\) | −2.82111 | − | 1.61405i | −0.0998662 | − | 0.0571369i | ||||
\(799\) | − | 30.3248i | − | 1.07281i | ||||||
\(800\) | −1.96226 | + | 4.59886i | −0.0693763 | + | 0.162594i | ||||
\(801\) | 0.293158 | + | 0.498692i | 0.0103582 | + | 0.0176204i | ||||
\(802\) | −15.5613 | − | 15.5613i | −0.549487 | − | 0.549487i | ||||
\(803\) | 18.9711 | + | 18.9711i | 0.669476 | + | 0.669476i | ||||
\(804\) | −5.05738 | − | 18.5826i | −0.178360 | − | 0.655359i | ||||
\(805\) | 1.91284 | + | 9.89008i | 0.0674188 | + | 0.348579i | ||||
\(806\) | 2.46246i | 0.0867363i | ||||||||
\(807\) | 1.96237 | − | 3.42990i | 0.0690785 | − | 0.120738i | ||||
\(808\) | −0.225248 | + | 0.225248i | −0.00792421 | + | 0.00792421i | ||||
\(809\) | −46.4784 | −1.63409 | −0.817046 | − | 0.576573i | \(-0.804390\pi\) | ||||
−0.817046 | + | 0.576573i | \(0.804390\pi\) | |||||||
\(810\) | −9.08786 | − | 17.9558i | −0.319315 | − | 0.630903i | ||||
\(811\) | −3.32637 | −0.116805 | −0.0584023 | − | 0.998293i | \(-0.518601\pi\) | ||||
−0.0584023 | + | 0.998293i | \(0.518601\pi\) | |||||||
\(812\) | −3.05632 | + | 3.05632i | −0.107256 | + | 0.107256i | ||||
\(813\) | −14.2915 | + | 24.9793i | −0.501226 | + | 0.876064i | ||||
\(814\) | − | 5.33082i | − | 0.186845i | ||||||
\(815\) | 24.3521 | − | 36.0308i | 0.853018 | − | 1.26210i | ||||
\(816\) | −2.35267 | − | 8.64455i | −0.0823598 | − | 0.302620i | ||||
\(817\) | 5.61290 | + | 5.61290i | 0.196371 | + | 0.196371i | ||||
\(818\) | 7.69794 | + | 7.69794i | 0.269152 | + | 0.269152i | ||||
\(819\) | 1.89960 | + | 3.23141i | 0.0663772 | + | 0.112914i | ||||
\(820\) | −21.4521 | + | 4.14906i | −0.749140 | + | 0.144891i | ||||
\(821\) | − | 6.46893i | − | 0.225767i | −0.993608 | − | 0.112884i | \(-0.963991\pi\) | ||
0.993608 | − | 0.112884i | \(-0.0360087\pi\) | |||||||
\(822\) | 4.93874 | + | 2.82562i | 0.172258 | + | 0.0985548i | ||||
\(823\) | −25.1379 | + | 25.1379i | −0.876252 | + | 0.876252i | −0.993145 | − | 0.116892i | \(-0.962707\pi\) |
0.116892 | + | 0.993145i | \(0.462707\pi\) | |||||||
\(824\) | −15.6237 | −0.544278 | ||||||||
\(825\) | −16.7713 | − | 2.32198i | −0.583900 | − | 0.0808409i | ||||
\(826\) | −0.952802 | −0.0331522 | ||||||||
\(827\) | −25.7731 | + | 25.7731i | −0.896220 | + | 0.896220i | −0.995099 | − | 0.0988794i | \(-0.968474\pi\) |
0.0988794 | + | 0.995099i | \(0.468474\pi\) | |||||||
\(828\) | −25.7808 | − | 6.69172i | −0.895946 | − | 0.232553i | ||||
\(829\) | 42.8699i | 1.48893i | 0.667659 | + | 0.744467i | \(0.267296\pi\) | ||||
−0.667659 | + | 0.744467i | \(0.732704\pi\) | |||||||
\(830\) | −7.64664 | + | 1.47894i | −0.265419 | + | 0.0513347i | ||||
\(831\) | 20.4167 | − | 5.55653i | 0.708247 | − | 0.192754i | ||||
\(832\) | 1.74122 | + | 1.74122i | 0.0603659 | + | 0.0603659i | ||||
\(833\) | −24.6607 | − | 24.6607i | −0.854444 | − | 0.854444i | ||||
\(834\) | −15.4347 | + | 4.20064i | −0.534459 | + | 0.145456i | ||||
\(835\) | −31.4693 | + | 46.5611i | −1.08904 | + | 1.61131i | ||||
\(836\) | − | 7.23024i | − | 0.250063i | ||||||
\(837\) | −5.19579 | + | 0.0611210i | −0.179593 | + | 0.00211265i | ||||
\(838\) | 1.48026 | − | 1.48026i | 0.0511346 | − | 0.0511346i | ||||
\(839\) | −15.0781 | −0.520553 | −0.260276 | − | 0.965534i | \(-0.583814\pi\) | ||||
−0.260276 | + | 0.965534i | \(0.583814\pi\) | |||||||
\(840\) | 1.86001 | + | 0.634247i | 0.0641765 | + | 0.0218836i | ||||
\(841\) | 43.5632 | 1.50218 | ||||||||
\(842\) | 24.3543 | − | 24.3543i | 0.839306 | − | 0.839306i | ||||
\(843\) | 2.87359 | + | 1.64408i | 0.0989716 | + | 0.0566250i | ||||
\(844\) | − | 26.5004i | − | 0.912182i | ||||||
\(845\) | −2.94522 | − | 15.2279i | −0.101319 | − | 0.523854i | ||||
\(846\) | −15.1624 | + | 8.91328i | −0.521294 | + | 0.306445i | ||||
\(847\) | −2.57532 | − | 2.57532i | −0.0884889 | − | 0.0884889i | ||||
\(848\) | 9.34225 | + | 9.34225i | 0.320814 | + | 0.320814i | ||||
\(849\) | 12.1116 | + | 44.5025i | 0.415670 | + | 1.52732i | ||||
\(850\) | −9.64334 | − | 23.9972i | −0.330764 | − | 0.823098i | ||||
\(851\) | − | 24.2086i | − | 0.829861i | ||||||
\(852\) | −2.48253 | + | 4.33906i | −0.0850499 | + | 0.148654i | ||||
\(853\) | −32.7061 | + | 32.7061i | −1.11984 | + | 1.11984i | −0.128070 | + | 0.991765i | \(0.540878\pi\) |
−0.991765 | + | 0.128070i | \(0.959122\pi\) | |||||||
\(854\) | −5.33820 | −0.182669 | ||||||||
\(855\) | 18.6104 | − | 16.4048i | 0.636461 | − | 0.561032i | ||||
\(856\) | 2.66870 | 0.0912142 | ||||||||
\(857\) | 7.36603 | − | 7.36603i | 0.251619 | − | 0.251619i | −0.570015 | − | 0.821634i | \(-0.693063\pi\) |
0.821634 | + | 0.570015i | \(0.193063\pi\) | |||||||
\(858\) | −4.14089 | + | 7.23763i | −0.141368 | + | 0.247089i | ||||
\(859\) | 4.64716i | 0.158559i | 0.996852 | + | 0.0792796i | \(0.0252620\pi\) | ||||
−0.996852 | + | 0.0792796i | \(0.974738\pi\) | |||||||
\(860\) | −3.97643 | − | 2.68755i | −0.135595 | − | 0.0916446i | ||||
\(861\) | 2.25516 | + | 8.28629i | 0.0768558 | + | 0.282396i | ||||
\(862\) | −17.5685 | − | 17.5685i | −0.598386 | − | 0.598386i | ||||
\(863\) | −23.5547 | − | 23.5547i | −0.801810 | − | 0.801810i | 0.181568 | − | 0.983378i | \(-0.441883\pi\) |
−0.983378 | + | 0.181568i | \(0.941883\pi\) | |||||||
\(864\) | −3.63076 | + | 3.71720i | −0.123521 | + | 0.126462i | ||||
\(865\) | −5.77784 | − | 3.90507i | −0.196452 | − | 0.132776i | ||||
\(866\) | 5.05554i | 0.171794i | ||||||||
\(867\) | 14.6646 | + | 8.39013i | 0.498037 | + | 0.284944i | ||||
\(868\) | 0.358790 | − | 0.358790i | 0.0121781 | − | 0.0121781i | ||||
\(869\) | 2.64084 | 0.0895842 | ||||||||
\(870\) | −14.5511 | − | 29.6094i | −0.493327 | − | 1.00385i | ||||
\(871\) | −27.3798 | −0.927731 | ||||||||
\(872\) | −0.0579452 | + | 0.0579452i | −0.00196227 | + | 0.00196227i | ||||
\(873\) | 1.07851 | − | 4.15511i | 0.0365019 | − | 0.140629i | ||||
\(874\) | − | 32.8344i | − | 1.11064i | ||||||
\(875\) | 5.54567 | + | 1.19504i | 0.187478 | + | 0.0403996i | ||||
\(876\) | 22.9348 | − | 6.24184i | 0.774894 | − | 0.210892i | ||||
\(877\) | 25.9850 | + | 25.9850i | 0.877452 | + | 0.877452i | 0.993270 | − | 0.115818i | \(-0.0369490\pi\) |
−0.115818 | + | 0.993270i | \(0.536949\pi\) | |||||||
\(878\) | 8.18801 | + | 8.18801i | 0.276332 | + | 0.276332i | ||||
\(879\) | 32.4531 | − | 8.83230i | 1.09461 | − | 0.297906i | ||||
\(880\) | 0.830133 | + | 4.29208i | 0.0279838 | + | 0.144686i | ||||
\(881\) | − | 57.2613i | − | 1.92918i | −0.263747 | − | 0.964592i | \(-0.584958\pi\) | ||
0.263747 | − | 0.964592i | \(-0.415042\pi\) | |||||||
\(882\) | −5.08191 | + | 19.5788i | −0.171117 | + | 0.659254i | ||||
\(883\) | −6.65521 | + | 6.65521i | −0.223966 | + | 0.223966i | −0.810166 | − | 0.586200i | \(-0.800623\pi\) |
0.586200 | + | 0.810166i | \(0.300623\pi\) | |||||||
\(884\) | −12.7370 | −0.428391 | ||||||||
\(885\) | 2.34720 | − | 6.88347i | 0.0789003 | − | 0.231385i | ||||
\(886\) | 12.5682 | 0.422238 | ||||||||
\(887\) | −40.0415 | + | 40.0415i | −1.34446 | + | 1.34446i | −0.452901 | + | 0.891561i | \(0.649611\pi\) |
−0.891561 | + | 0.452901i | \(0.850389\pi\) | |||||||
\(888\) | −4.09927 | − | 2.34533i | −0.137562 | − | 0.0787041i | ||||
\(889\) | − | 3.89012i | − | 0.130470i | ||||||
\(890\) | 0.241442 | − | 0.357231i | 0.00809315 | − | 0.0119744i | ||||
\(891\) | −15.3742 | − | 8.55766i | −0.515055 | − | 0.286692i | ||||
\(892\) | −19.1668 | − | 19.1668i | −0.641751 | − | 0.641751i | ||||
\(893\) | −15.3313 | − | 15.3313i | −0.513043 | − | 0.513043i | ||||
\(894\) | −0.374538 | − | 1.37619i | −0.0125264 | − | 0.0460266i | ||||
\(895\) | −8.20557 | + | 1.58704i | −0.274282 | + | 0.0530489i | ||||
\(896\) | − | 0.507406i | − | 0.0169512i | ||||||
\(897\) | −18.8049 | + | 32.8679i | −0.627876 | + | 1.09743i | ||||
\(898\) | −6.84052 | + | 6.84052i | −0.228271 | + | 0.228271i | ||||
\(899\) | −8.51841 | −0.284105 | ||||||||
\(900\) | −9.16417 | + | 11.8751i | −0.305472 | + | 0.395837i | ||||
\(901\) | −68.3383 | −2.27668 | ||||||||
\(902\) | −13.5084 | + | 13.5084i | −0.449779 | + | 0.449779i | ||||
\(903\) | −0.936766 | + | 1.63732i | −0.0311736 | + | 0.0544866i | ||||
\(904\) | 13.1399i | 0.437025i | ||||||||
\(905\) | 38.5067 | − | 7.44759i | 1.28001 | − | 0.247566i | ||||
\(906\) | −5.30455 | − | 19.4908i | −0.176232 | − | 0.647540i | ||||
\(907\) | −1.45442 | − | 1.45442i | −0.0482933 | − | 0.0482933i | 0.682548 | − | 0.730841i | \(-0.260872\pi\) |
−0.730841 | + | 0.682548i | \(0.760872\pi\) | |||||||
\(908\) | −1.96350 | − | 1.96350i | −0.0651611 | − | 0.0651611i | ||||
\(909\) | −0.823843 | + | 0.484300i | −0.0273252 | + | 0.0160632i | ||||
\(910\) | 1.56449 | − | 2.31478i | 0.0518622 | − | 0.0767341i | ||||
\(911\) | − | 4.45072i | − | 0.147459i | −0.997278 | − | 0.0737294i | \(-0.976510\pi\) | ||
0.997278 | − | 0.0737294i | \(-0.0234901\pi\) | |||||||
\(912\) | −5.55987 | − | 3.18099i | −0.184106 | − | 0.105333i | ||||
\(913\) | −4.81507 | + | 4.81507i | −0.159356 | + | 0.159356i | ||||
\(914\) | −6.92187 | −0.228955 | ||||||||
\(915\) | 13.1505 | − | 38.5655i | 0.434742 | − | 1.27494i | ||||
\(916\) | 1.32660 | 0.0438322 | ||||||||
\(917\) | 5.38451 | − | 5.38451i | 0.177812 | − | 0.177812i | ||||
\(918\) | −0.316146 | − | 26.8751i | −0.0104344 | − | 0.887009i | ||||
\(919\) | 2.60868i | 0.0860525i | 0.999074 | + | 0.0430263i | \(0.0136999\pi\) | ||||
−0.999074 | + | 0.0430263i | \(0.986300\pi\) | |||||||
\(920\) | 3.76984 | + | 19.4914i | 0.124288 | + | 0.642614i | ||||
\(921\) | −45.1841 | + | 12.2971i | −1.48887 | + | 0.405204i | ||||
\(922\) | −18.7077 | − | 18.7077i | −0.616107 | − | 0.616107i | ||||
\(923\) | 5.02550 | + | 5.02550i | 0.165416 | + | 0.165416i | ||||
\(924\) | 1.65790 | − | 0.451207i | 0.0545408 | − | 0.0148436i | ||||
\(925\) | −12.5397 | − | 5.35048i | −0.412302 | − | 0.175923i | ||||
\(926\) | 31.1370i | 1.02323i | ||||||||
\(927\) | −45.3678 | − | 11.7757i | −1.49008 | − | 0.386766i | ||||
\(928\) | −6.02342 | + | 6.02342i | −0.197729 | + | 0.197729i | ||||
\(929\) | −23.7156 | −0.778084 | −0.389042 | − | 0.921220i | \(-0.627194\pi\) | ||||
−0.389042 | + | 0.921220i | \(0.627194\pi\) | |||||||
\(930\) | 1.70819 | + | 3.47593i | 0.0560138 | + | 0.113980i | ||||
\(931\) | −24.9355 | −0.817228 | ||||||||
\(932\) | 7.07940 | − | 7.07940i | 0.231893 | − | 0.231893i | ||||
\(933\) | 9.40443 | + | 5.38059i | 0.307887 | + | 0.176153i | ||||
\(934\) | 17.2772i | 0.565327i | ||||||||
\(935\) | −18.7344 | − | 12.6620i | −0.612682 | − | 0.414093i | ||||
\(936\) | 3.74374 | + | 6.36849i | 0.122368 | + | 0.208160i | ||||
\(937\) | −12.5016 | − | 12.5016i | −0.408408 | − | 0.408408i | 0.472775 | − | 0.881183i | \(-0.343252\pi\) |
−0.881183 | + | 0.472775i | \(0.843252\pi\) | |||||||
\(938\) | 3.98936 | + | 3.98936i | 0.130257 | + | 0.130257i | ||||
\(939\) | −12.2043 | − | 44.8430i | −0.398272 | − | 1.46340i | ||||
\(940\) | 10.8614 | + | 7.34088i | 0.354259 | + | 0.239433i | ||||
\(941\) | 16.3893i | 0.534277i | 0.963658 | + | 0.267139i | \(0.0860782\pi\) | ||||
−0.963658 | + | 0.267139i | \(0.913922\pi\) | |||||||
\(942\) | 18.0564 | − | 31.5597i | 0.588309 | − | 1.02827i | ||||
\(943\) | −61.3449 | + | 61.3449i | −1.99767 | + | 1.99767i | ||||
\(944\) | −1.87779 | −0.0611169 | ||||||||
\(945\) | 4.92302 | + | 3.24362i | 0.160146 | + | 0.105515i | ||||
\(946\) | −4.19629 | −0.136433 | ||||||||
\(947\) | −34.5084 | + | 34.5084i | −1.12137 | + | 1.12137i | −0.129837 | + | 0.991535i | \(0.541445\pi\) |
−0.991535 | + | 0.129837i | \(0.958555\pi\) | |||||||
\(948\) | 1.16185 | − | 2.03074i | 0.0377353 | − | 0.0659553i | ||||
\(949\) | − | 33.7924i | − | 1.09695i | ||||||
\(950\) | −17.0077 | − | 7.25690i | −0.551802 | − | 0.235445i | ||||
\(951\) | −6.64202 | − | 24.4052i | −0.215382 | − | 0.791393i | ||||
\(952\) | 1.85583 | + | 1.85583i | 0.0601478 | + | 0.0601478i | ||||
\(953\) | 35.3174 | + | 35.3174i | 1.14404 | + | 1.14404i | 0.987703 | + | 0.156339i | \(0.0499692\pi\) |
0.156339 | + | 0.987703i | \(0.450031\pi\) | |||||||
\(954\) | 20.0865 | + | 34.1691i | 0.650323 | + | 1.10627i | ||||
\(955\) | 1.02968 | + | 5.32383i | 0.0333198 | + | 0.172275i | ||||
\(956\) | 9.69880i | 0.313682i | ||||||||
\(957\) | −25.0372 | − | 14.3246i | −0.809338 | − | 0.463050i | ||||
\(958\) | −0.802667 | + | 0.802667i | −0.0259330 | + | 0.0259330i | ||||
\(959\) | −1.66687 | −0.0538260 | ||||||||
\(960\) | 3.66573 | + | 1.24998i | 0.118311 | + | 0.0403429i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | −4.74777 | + | 4.74777i | −0.153074 | + | 0.153074i | ||||
\(963\) | 7.74930 | + | 2.01142i | 0.249718 | + | 0.0648172i | ||||
\(964\) | − | 1.35150i | − | 0.0435290i | ||||||
\(965\) | 15.2016 | − | 22.4919i | 0.489356 | − | 0.724039i | ||||
\(966\) | 7.52894 | − | 2.04905i | 0.242240 | − | 0.0659270i | ||||
\(967\) | 19.7749 | + | 19.7749i | 0.635918 | + | 0.635918i | 0.949546 | − | 0.313628i | \(-0.101544\pi\) |
−0.313628 | + | 0.949546i | \(0.601544\pi\) | |||||||
\(968\) | −5.07546 | − | 5.07546i | −0.163131 | − | 0.163131i | ||||
\(969\) | 31.9696 | − | 8.70072i | 1.02701 | − | 0.279507i | ||||
\(970\) | −3.14145 | + | 0.607588i | −0.100866 | + | 0.0195085i | ||||
\(971\) | 16.1832i | 0.519344i | 0.965697 | + | 0.259672i | \(0.0836144\pi\) | ||||
−0.965697 | + | 0.259672i | \(0.916386\pi\) | |||||||
\(972\) | −13.3446 | + | 8.05738i | −0.428029 | + | 0.258441i | ||||
\(973\) | 3.31355 | − | 3.31355i | 0.106227 | − | 0.106227i | ||||
\(974\) | −36.1653 | −1.15881 | ||||||||
\(975\) | 12.8689 | + | 17.0049i | 0.412135 | + | 0.544594i | ||||
\(976\) | −10.5206 | −0.336755 | ||||||||
\(977\) | −3.95607 | + | 3.95607i | −0.126566 | + | 0.126566i | −0.767552 | − | 0.640986i | \(-0.778526\pi\) |
0.640986 | + | 0.767552i | \(0.278526\pi\) | |||||||
\(978\) | −29.2388 | − | 16.7285i | −0.934952 | − | 0.534918i | ||||
\(979\) | − | 0.376983i | − | 0.0120484i | ||||||
\(980\) | 14.8025 | − | 2.86295i | 0.472847 | − | 0.0914535i | ||||
\(981\) | −0.211934 | + | 0.124586i | −0.00676652 | + | 0.00397773i | ||||
\(982\) | −4.55050 | − | 4.55050i | −0.145212 | − | 0.145212i | ||||
\(983\) | 25.3353 | + | 25.3353i | 0.808072 | + | 0.808072i | 0.984342 | − | 0.176270i | \(-0.0564032\pi\) |
−0.176270 | + | 0.984342i | \(0.556403\pi\) | |||||||
\(984\) | 4.44450 | + | 16.3307i | 0.141685 | + | 0.520603i | ||||
\(985\) | 30.5057 | − | 45.1355i | 0.971993 | − | 1.43814i | ||||
\(986\) | − | 44.0612i | − | 1.40319i | ||||||
\(987\) | 2.55872 | − | 4.47225i | 0.0814451 | − | 0.142353i | ||||
\(988\) | −6.43944 | + | 6.43944i | −0.204866 | + | 0.204866i | ||||
\(989\) | −19.0564 | −0.605959 | ||||||||
\(990\) | −0.824462 | + | 13.0889i | −0.0262031 | + | 0.415994i | ||||
\(991\) | −55.7498 | −1.77095 | −0.885475 | − | 0.464687i | \(-0.846167\pi\) | ||||
−0.885475 | + | 0.464687i | \(0.846167\pi\) | |||||||
\(992\) | 0.707107 | − | 0.707107i | 0.0224507 | − | 0.0224507i | ||||
\(993\) | −1.78663 | + | 3.12274i | −0.0566969 | + | 0.0990972i | ||||
\(994\) | − | 1.46447i | − | 0.0464503i | ||||||
\(995\) | −5.77302 | − | 29.8486i | −0.183017 | − | 0.946264i | ||||
\(996\) | 1.58425 | + | 5.82109i | 0.0501988 | + | 0.184448i | ||||
\(997\) | −9.22969 | − | 9.22969i | −0.292307 | − | 0.292307i | 0.545684 | − | 0.837991i | \(-0.316270\pi\) |
−0.837991 | + | 0.545684i | \(0.816270\pi\) | |||||||
\(998\) | 1.50915 | + | 1.50915i | 0.0477713 | + | 0.0477713i | ||||
\(999\) | −10.1357 | − | 9.89997i | −0.320678 | − | 0.313221i |
(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 | 930.2.j.h.497.13 | yes | 40 | |
3.2 | odd | 2 | inner | 930.2.j.h.497.3 | ✓ | 40 | |
5.3 | odd | 4 | inner | 930.2.j.h.683.3 | yes | 40 | |
15.8 | even | 4 | inner | 930.2.j.h.683.13 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.j.h.497.3 | ✓ | 40 | 3.2 | odd | 2 | inner | |
930.2.j.h.497.13 | yes | 40 | 1.1 | even | 1 | trivial | |
930.2.j.h.683.3 | yes | 40 | 5.3 | odd | 4 | inner | |
930.2.j.h.683.13 | yes | 40 | 15.8 | even | 4 | inner |