Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(41,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.m (of order \(11\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 81.2 | ||
Character | \(\chi\) | \(=\) | 460.81 |
Dual form | 460.2.m.a.301.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.0800965 | + | 0.557084i | −0.0462437 | + | 0.321632i | 0.953548 | + | 0.301240i | \(0.0974006\pi\) |
−0.999792 | + | 0.0203922i | \(0.993509\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.98213 | − | 3.44157i | −1.12714 | − | 1.30079i | −0.948465 | − | 0.316882i | \(-0.897364\pi\) |
−0.178676 | − | 0.983908i | \(-0.557181\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.57455 | + | 0.755957i | 0.858184 | + | 0.251986i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.53046 | − | 0.983566i | −0.461451 | − | 0.296556i | 0.289184 | − | 0.957273i | \(-0.406616\pi\) |
−0.750635 | + | 0.660717i | \(0.770252\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.30962 | − | 2.66544i | 0.640572 | − | 0.739260i | −0.338904 | − | 0.940821i | \(-0.610056\pi\) |
0.979476 | + | 0.201561i | \(0.0646016\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.0800965 | − | 0.557084i | −0.0206808 | − | 0.143838i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.29511 | − | 5.02558i | −0.556645 | − | 1.21888i | −0.953609 | − | 0.301048i | \(-0.902664\pi\) |
0.396964 | − | 0.917834i | \(-0.370064\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.276101 | − | 0.604578i | 0.0633420 | − | 0.138700i | −0.875314 | − | 0.483556i | \(-0.839345\pi\) |
0.938656 | + | 0.344856i | \(0.112072\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.15610 | − | 1.38564i | 0.470499 | − | 0.302371i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.619255 | − | 4.75568i | 0.129124 | − | 0.991629i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.32875 | + | 2.90955i | −0.255717 | + | 0.559943i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.245375 | + | 0.537295i | 0.0455649 | + | 0.0997733i | 0.931045 | − | 0.364903i | \(-0.118898\pi\) |
−0.885481 | + | 0.464676i | \(0.846171\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.421554 | − | 2.93197i | −0.0757133 | − | 0.526597i | −0.992016 | − | 0.126111i | \(-0.959750\pi\) |
0.916303 | − | 0.400486i | \(-0.131159\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.670513 | − | 0.773813i | 0.116721 | − | 0.134704i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.83094 | + | 2.46199i | 0.647547 | + | 0.416153i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.01316 | + | 2.64650i | 1.48175 | + | 0.435082i | 0.919900 | − | 0.392154i | \(-0.128270\pi\) |
0.561854 | + | 0.827236i | \(0.310088\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.29988 | + | 1.50014i | 0.208147 | + | 0.240215i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.05868 | + | 2.36624i | −1.25855 | + | 0.369545i | −0.841956 | − | 0.539546i | \(-0.818596\pi\) |
−0.416598 | + | 0.909091i | \(0.636778\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.932321 | − | 6.48444i | 0.142178 | − | 0.988867i | −0.786397 | − | 0.617722i | \(-0.788056\pi\) |
0.928575 | − | 0.371146i | \(-0.121035\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.68324 | −0.399994 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.201790 | 0.0294341 | 0.0147171 | − | 0.999892i | \(-0.495315\pi\) | ||||
0.0147171 | + | 0.999892i | \(0.495315\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.95505 | + | 13.5977i | −0.279293 | + | 1.94252i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.98350 | − | 0.876034i | 0.417773 | − | 0.122669i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.38955 | − | 1.60363i | −0.190870 | − | 0.220276i | 0.652246 | − | 0.758007i | \(-0.273827\pi\) |
−0.843116 | + | 0.537732i | \(0.819281\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.74557 | + | 0.512545i | 0.235372 | + | 0.0691115i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.314685 | + | 0.202236i | 0.0416811 | + | 0.0267868i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.67179 | + | 4.23747i | −0.478026 | + | 0.551672i | −0.942627 | − | 0.333849i | \(-0.891653\pi\) |
0.464600 | + | 0.885521i | \(0.346198\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.79974 | − | 12.5175i | −0.230433 | − | 1.60270i | −0.696239 | − | 0.717810i | \(-0.745145\pi\) |
0.465806 | − | 0.884887i | \(-0.345764\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.07598 | − | 11.1149i | −0.639514 | − | 1.40034i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.46512 | + | 3.20816i | −0.181726 | + | 0.397924i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.69170 | + | 2.37251i | −0.451013 | + | 0.289848i | −0.746361 | − | 0.665541i | \(-0.768201\pi\) |
0.295348 | + | 0.955390i | \(0.404564\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.59971 | + | 0.725891i | 0.312969 | + | 0.0873870i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.79449 | + | 1.15325i | −0.212966 | + | 0.136865i | −0.642776 | − | 0.766055i | \(-0.722217\pi\) |
0.429809 | + | 0.902920i | \(0.358581\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.90317 | + | 8.54674i | −0.456831 | + | 1.00032i | 0.531367 | + | 0.847141i | \(0.321678\pi\) |
−0.988198 | + | 0.153179i | \(0.951049\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.233801 | + | 0.511952i | 0.0269970 | + | 0.0591151i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.17903 | + | 8.20030i | 0.134362 | + | 0.934511i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.05887 | − | 1.22201i | 0.119133 | − | 0.137486i | −0.693050 | − | 0.720889i | \(-0.743734\pi\) |
0.812183 | + | 0.583403i | \(0.198279\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.25743 | + | 3.37874i | 0.584159 | + | 0.375416i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.80477 | − | 0.529927i | −0.198099 | − | 0.0581671i | 0.181178 | − | 0.983450i | \(-0.442009\pi\) |
−0.379277 | + | 0.925283i | \(0.623827\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.61801 | + | 4.17540i | 0.392428 | + | 0.452886i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.318972 | + | 0.0936587i | −0.0341974 | + | 0.0100413i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.01143 | + | 7.03466i | −0.107212 | + | 0.745673i | 0.863313 | + | 0.504669i | \(0.168386\pi\) |
−0.970524 | + | 0.241003i | \(0.922524\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −16.0609 | −1.68364 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.66712 | 0.172872 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.0945881 | + | 0.657875i | −0.00970453 | + | 0.0674965i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.2886 | − | 3.02100i | 1.04465 | − | 0.306736i | 0.285994 | − | 0.958231i | \(-0.407676\pi\) |
0.758652 | + | 0.651496i | \(0.225858\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.19671 | − | 3.68920i | −0.321282 | − | 0.370779i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 18.5598 | + | 5.44964i | 1.84676 | + | 0.542259i | 0.999946 | + | 0.0103769i | \(0.00330312\pi\) |
0.846818 | + | 0.531882i | \(0.178515\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.75222 | + | 1.76875i | 0.271185 | + | 0.174280i | 0.669164 | − | 0.743114i | \(-0.266652\pi\) |
−0.397980 | + | 0.917394i | \(0.630289\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.67838 | + | 1.93696i | −0.163793 | + | 0.189027i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.98679 | + | 13.8184i | 0.192070 | + | 1.33588i | 0.826518 | + | 0.562911i | \(0.190318\pi\) |
−0.634448 | + | 0.772966i | \(0.718772\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.68546 | + | 3.69065i | 0.161438 | + | 0.353500i | 0.973014 | − | 0.230747i | \(-0.0741171\pi\) |
−0.811576 | + | 0.584247i | \(0.801390\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.19625 | + | 4.80911i | −0.208458 | + | 0.456460i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.13239 | + | 1.37040i | −0.200599 | + | 0.128917i | −0.637084 | − | 0.770795i | \(-0.719859\pi\) |
0.436485 | + | 0.899711i | \(0.356223\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.745660 | + | 4.73751i | 0.0695331 | + | 0.441775i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 7.96118 | − | 5.11634i | 0.736012 | − | 0.473006i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −10.4516 | + | 22.8857i | −0.958092 | + | 2.09793i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.19466 | − | 6.99534i | −0.290424 | − | 0.635940i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.672722 | − | 4.67888i | −0.0606573 | − | 0.421881i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −17.5453 | − | 11.2757i | −1.55690 | − | 1.00056i | −0.983422 | − | 0.181334i | \(-0.941958\pi\) |
−0.573475 | − | 0.819223i | \(-0.694405\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.53770 | + | 1.03876i | 0.311477 | + | 0.0914579i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.35032 | + | 8.48272i | 0.642200 | + | 0.741139i | 0.979762 | − | 0.200165i | \(-0.0641477\pi\) |
−0.337562 | + | 0.941303i | \(0.609602\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.90406 | + | 0.852710i | −0.251814 | + | 0.0739394i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.455208 | − | 3.16604i | 0.0391781 | − | 0.272489i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.68463 | −0.229364 | −0.114682 | − | 0.993402i | \(-0.536585\pi\) | ||||
−0.114682 | + | 0.993402i | \(0.536585\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.337259 | −0.0286059 | −0.0143030 | − | 0.999898i | \(-0.504553\pi\) | ||||
−0.0143030 | + | 0.999898i | \(0.504553\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.0161627 | + | 0.112414i | −0.00136114 | + | 0.00946697i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.15641 | + | 1.80768i | −0.514825 | + | 0.151166i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.386809 | − | 0.446401i | −0.0321227 | − | 0.0370716i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −7.41845 | − | 2.17825i | −0.611863 | − | 0.179659i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 12.3544 | + | 7.93972i | 1.01212 | + | 0.650447i | 0.937940 | − | 0.346798i | \(-0.112731\pi\) |
0.0741758 | + | 0.997245i | \(0.476367\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.4935 | − | 13.2642i | 0.935324 | − | 1.07942i | −0.0613649 | − | 0.998115i | \(-0.519545\pi\) |
0.996689 | − | 0.0813064i | \(-0.0259092\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.10975 | − | 14.6736i | −0.170563 | − | 1.18629i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.23051 | + | 2.69444i | 0.0988369 | + | 0.216423i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.30629 | − | 9.42946i | 0.343679 | − | 0.752553i | −0.656319 | − | 0.754484i | \(-0.727887\pi\) |
0.999998 | + | 0.00193093i | \(0.000614634\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.00465 | − | 0.645652i | 0.0796743 | − | 0.0512035i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −18.2137 | + | 12.0509i | −1.43544 | + | 0.949742i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.95110 | − | 3.82454i | 0.466126 | − | 0.299561i | −0.286416 | − | 0.958105i | \(-0.592464\pi\) |
0.752542 | + | 0.658544i | \(0.228828\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.425344 | + | 0.931374i | −0.0331130 | + | 0.0725073i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −5.31458 | − | 11.6373i | −0.411254 | − | 0.900521i | −0.996004 | − | 0.0893075i | \(-0.971535\pi\) |
0.584750 | − | 0.811214i | \(-0.301193\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.0798549 | + | 0.555403i | 0.00614268 | + | 0.0427233i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.16787 | − | 1.34780i | 0.0893094 | − | 0.103069i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −10.6803 | − | 6.86378i | −0.812004 | − | 0.521844i | 0.0675084 | − | 0.997719i | \(-0.478495\pi\) |
−0.879513 | + | 0.475875i | \(0.842131\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.36938 | − | 1.28297i | −0.330294 | − | 0.0969831i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.06653 | − | 2.38490i | −0.155330 | − | 0.179260i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 15.2097 | − | 4.46596i | 1.13682 | − | 0.333801i | 0.341437 | − | 0.939905i | \(-0.389086\pi\) |
0.795386 | + | 0.606103i | \(0.207268\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.07418 | − | 14.4262i | 0.154172 | − | 1.07229i | −0.754956 | − | 0.655776i | \(-0.772342\pi\) |
0.909128 | − | 0.416517i | \(-0.136749\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.11742 | 0.526135 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.39367 | −0.690636 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.43043 | + | 9.94883i | −0.104603 | + | 0.727530i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 13.9759 | − | 4.10369i | 1.01660 | − | 0.298500i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.6491 | + | 14.5979i | 0.915260 | + | 1.05627i | 0.998216 | + | 0.0597133i | \(0.0190187\pi\) |
−0.0829553 | + | 0.996553i | \(0.526436\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 23.1904 | + | 6.80932i | 1.66928 | + | 0.490146i | 0.973611 | − | 0.228214i | \(-0.0732887\pi\) |
0.695672 | + | 0.718360i | \(0.255107\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.66986 | − | 1.07316i | −0.119581 | − | 0.0768503i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −11.2417 | + | 12.9736i | −0.800938 | + | 0.924331i | −0.998432 | − | 0.0559727i | \(-0.982174\pi\) |
0.197495 | + | 0.980304i | \(0.436719\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.18766 | + | 22.1707i | 0.225967 | + | 1.57164i | 0.714844 | + | 0.699284i | \(0.246498\pi\) |
−0.488876 | + | 0.872353i | \(0.662593\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.02599 | − | 2.24661i | −0.0723680 | − | 0.158464i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.11740 | − | 2.44676i | 0.0784259 | − | 0.171729i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.06560 | − | 4.54078i | 0.493483 | − | 0.317142i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.18940 | − | 11.7756i | 0.360688 | − | 0.818463i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.01720 | + | 0.653717i | −0.0703615 | + | 0.0452186i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.14518 | − | 15.6458i | 0.491894 | − | 1.07710i | −0.487125 | − | 0.873332i | \(-0.661954\pi\) |
0.979020 | − | 0.203766i | \(-0.0653182\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.498723 | − | 1.09205i | −0.0341719 | − | 0.0748261i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.932321 | + | 6.48444i | 0.0635838 | + | 0.442235i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.83344 | + | 10.1943i | −0.599653 | + | 0.692036i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.44862 | − | 2.85895i | −0.300610 | − | 0.193190i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −18.6962 | − | 5.48969i | −1.25764 | − | 0.369277i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.61939 | − | 8.79325i | −0.510232 | − | 0.588840i | 0.440926 | − | 0.897544i | \(-0.354650\pi\) |
−0.951158 | + | 0.308704i | \(0.900105\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.57455 | − | 0.755957i | 0.171637 | − | 0.0503971i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.02109 | − | 27.9673i | 0.266889 | − | 1.85626i | −0.210539 | − | 0.977586i | \(-0.567522\pi\) |
0.477428 | − | 0.878671i | \(-0.341569\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.55126 | −0.168592 | −0.0842959 | − | 0.996441i | \(-0.526864\pi\) | ||||
−0.0842959 | + | 0.996441i | \(0.526864\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.66269 | −0.306782 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3.03889 | − | 21.1360i | 0.199084 | − | 1.38466i | −0.607864 | − | 0.794041i | \(-0.707974\pi\) |
0.806949 | − | 0.590622i | \(-0.201117\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.193616 | + | 0.0568509i | −0.0126301 | + | 0.00370854i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.595947 | + | 0.687759i | 0.0387109 | + | 0.0446748i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.00997 | + | 1.47106i | 0.324068 | + | 0.0951550i | 0.439720 | − | 0.898135i | \(-0.355078\pi\) |
−0.115652 | + | 0.993290i | \(0.536896\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −22.4875 | − | 14.4518i | −1.44854 | − | 0.930923i | −0.999296 | − | 0.0375167i | \(-0.988055\pi\) |
−0.449249 | − | 0.893407i | \(-0.648308\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −8.58725 | + | 9.91022i | −0.550873 | + | 0.635741i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.95505 | − | 13.5977i | −0.124904 | − | 0.868723i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.973776 | − | 2.13227i | −0.0619599 | − | 0.135673i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.439769 | − | 0.962960i | 0.0278692 | − | 0.0610251i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 21.1883 | − | 13.6169i | 1.33739 | − | 0.859491i | 0.340655 | − | 0.940188i | \(-0.389351\pi\) |
0.996739 | + | 0.0806977i | \(0.0257148\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.62527 | + | 6.66930i | −0.353658 | + | 0.419295i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.61584 | + | 1.68110i | −0.163810 | + | 0.105274i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.687842 | − | 1.50616i | 0.0429064 | − | 0.0939519i | −0.886965 | − | 0.461837i | \(-0.847191\pi\) |
0.929871 | + | 0.367885i | \(0.119918\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −17.7703 | − | 38.9116i | −1.10419 | − | 2.41785i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.225558 | + | 1.56879i | 0.0139617 | + | 0.0971055i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −19.1207 | + | 22.0665i | −1.17903 | + | 1.36068i | −0.260432 | + | 0.965492i | \(0.583865\pi\) |
−0.918601 | + | 0.395185i | \(0.870680\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.78506 | + | 1.14719i | 0.109655 | + | 0.0704713i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.83788 | − | 1.12690i | −0.234875 | − | 0.0689654i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −12.5900 | − | 14.5296i | −0.767626 | − | 0.885888i | 0.228525 | − | 0.973538i | \(-0.426610\pi\) |
−0.996151 | + | 0.0876501i | \(0.972064\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 25.0272 | − | 7.34864i | 1.52029 | − | 0.446398i | 0.588229 | − | 0.808694i | \(-0.299825\pi\) |
0.932063 | + | 0.362296i | \(0.118007\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.28642 | − | 8.94724i | 0.0778576 | − | 0.541512i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.81926 | −0.109706 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 32.1051 | 1.92901 | 0.964504 | − | 0.264067i | \(-0.0850641\pi\) | ||||
0.964504 | + | 0.264067i | \(0.0850641\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.13113 | − | 7.86719i | 0.0677190 | − | 0.470996i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.43237 | + | 0.420582i | −0.0854481 | + | 0.0250898i | −0.324177 | − | 0.945996i | \(-0.605087\pi\) |
0.238729 | + | 0.971086i | \(0.423269\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.75024 | + | 3.17395i | 0.163485 | + | 0.188672i | 0.831581 | − | 0.555403i | \(-0.187436\pi\) |
−0.668096 | + | 0.744075i | \(0.732891\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.358915 | − | 0.105387i | −0.0212603 | − | 0.00624258i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 32.1756 | + | 20.6780i | 1.89927 | + | 1.22059i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.85630 | + | 10.2207i | −0.520959 | + | 0.601219i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.858869 | + | 5.97357i | 0.0503478 | + | 0.350177i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.14175 | − | 4.68979i | −0.125123 | − | 0.273980i | 0.836696 | − | 0.547667i | \(-0.184484\pi\) |
−0.961819 | + | 0.273687i | \(0.911757\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.32922 | − | 5.10029i | 0.135613 | − | 0.296950i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.89532 | − | 3.14603i | 0.284055 | − | 0.182551i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −11.2457 | − | 12.6344i | −0.650358 | − | 0.730665i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −25.0969 | + | 16.1288i | −1.44656 | + | 0.929649i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.52247 | + | 9.90284i | −0.259809 | + | 0.568903i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.25341 | + | 11.5034i | 0.300810 | + | 0.658681i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.95665 | + | 27.5191i | 0.225818 | + | 1.57060i | 0.715446 | + | 0.698668i | \(0.246224\pi\) |
−0.489628 | + | 0.871932i | \(0.662867\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.20578 | + | 1.39155i | −0.0685946 | + | 0.0791624i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.48547 | − | 0.954651i | −0.0842330 | − | 0.0541333i | 0.497846 | − | 0.867265i | \(-0.334124\pi\) |
−0.582079 | + | 0.813132i | \(0.697761\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.66727 | − | 0.783180i | −0.150763 | − | 0.0442680i | 0.205480 | − | 0.978661i | \(-0.434124\pi\) |
−0.356243 | + | 0.934393i | \(0.615943\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 8.00179 | + | 9.23456i | 0.450850 | + | 0.520308i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.61247 | + | 0.473465i | −0.0905655 | + | 0.0265924i | −0.326701 | − | 0.945128i | \(-0.605937\pi\) |
0.236136 | + | 0.971720i | \(0.424119\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.152930 | − | 1.06365i | 0.00856243 | − | 0.0595530i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −7.85714 | −0.438543 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.67203 | −0.204317 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.501927 | − | 3.49098i | 0.0278419 | − | 0.193645i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.19100 | + | 0.643335i | −0.121163 | + | 0.0355765i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.601765 | − | 0.694474i | −0.0331764 | − | 0.0382876i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 20.9443 | + | 6.14981i | 1.15120 | + | 0.338024i | 0.801009 | − | 0.598653i | \(-0.204297\pi\) |
0.350195 | + | 0.936677i | \(0.386115\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 21.2042 | + | 13.6271i | 1.16198 | + | 0.746761i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.87374 | − | 3.31648i | 0.157009 | − | 0.181199i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.51817 | + | 10.5591i | 0.0827001 | + | 0.575192i | 0.988469 | + | 0.151421i | \(0.0483848\pi\) |
−0.905769 | + | 0.423771i | \(0.860706\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.592633 | − | 1.29768i | −0.0321874 | − | 0.0704806i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.23862 | + | 4.90189i | −0.121228 | + | 0.265452i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 25.8109 | − | 16.5877i | 1.39366 | − | 0.895651i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.69891 | + | 0.0359368i | −0.145305 | + | 0.00193477i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.33689 | − | 2.14449i | 0.179134 | − | 0.115122i | −0.448001 | − | 0.894033i | \(-0.647864\pi\) |
0.627135 | + | 0.778911i | \(0.284228\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.61657 | − | 18.8677i | 0.461235 | − | 1.00996i | −0.525970 | − | 0.850503i | \(-0.676298\pi\) |
0.987204 | − | 0.159460i | \(-0.0509752\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.68633 | + | 10.2616i | 0.250138 | + | 0.547725i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.934309 | + | 6.49826i | 0.0497283 | + | 0.345868i | 0.999462 | + | 0.0328079i | \(0.0104449\pi\) |
−0.949733 | + | 0.313060i | \(0.898646\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.39689 | − | 1.61210i | 0.0741393 | − | 0.0855613i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −11.9121 | − | 7.65545i | −0.630456 | − | 0.405170i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −25.5840 | − | 7.51214i | −1.35027 | − | 0.396475i | −0.474948 | − | 0.880014i | \(-0.657533\pi\) |
−0.875323 | + | 0.483539i | \(0.839351\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.1531 | + | 14.0254i | 0.639635 | + | 0.738179i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.15287 | − | 1.21939i | 0.217969 | − | 0.0640015i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.33717 | − | 9.30019i | 0.0699904 | − | 0.486794i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −23.3278 | −1.21770 | −0.608851 | − | 0.793285i | \(-0.708369\pi\) | ||||
−0.608851 | + | 0.793285i | \(0.708369\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −22.5363 | −1.17319 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.37516 | + | 9.56448i | −0.0713950 | + | 0.496563i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.39654 | + | 0.703687i | −0.124088 | + | 0.0364355i | −0.343187 | − | 0.939267i | \(-0.611506\pi\) |
0.219099 | + | 0.975703i | \(0.429688\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.368564 | − | 0.425345i | −0.0190325 | − | 0.0219647i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.99885 | + | 0.586915i | 0.102946 | + | 0.0302277i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.8199 | + | 14.6655i | 1.17218 | + | 0.753316i | 0.973933 | − | 0.226836i | \(-0.0728382\pi\) |
0.198249 | + | 0.980152i | \(0.436475\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.68683 | − | 8.87107i | 0.393808 | − | 0.454479i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.20873 | + | 22.3172i | 0.163958 | + | 1.14035i | 0.891080 | + | 0.453846i | \(0.149948\pi\) |
−0.727122 | + | 0.686509i | \(0.759142\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.44156 | − | 7.53596i | −0.175398 | − | 0.384068i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 7.30226 | − | 15.9897i | 0.371195 | − | 0.812804i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 30.5671 | − | 19.6443i | 1.54981 | − | 0.996004i | 0.564463 | − | 0.825458i | \(-0.309083\pi\) |
0.985350 | − | 0.170546i | \(-0.0545531\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −25.3213 | + | 7.80268i | −1.28055 | + | 0.394598i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −5.31432 | + | 3.41531i | −0.268072 | + | 0.172279i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.671703 | + | 1.47082i | −0.0337970 | + | 0.0740052i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.95528 | − | 10.8505i | −0.248698 | − | 0.544573i | 0.743574 | − | 0.668654i | \(-0.233129\pi\) |
−0.992272 | + | 0.124080i | \(0.960402\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.242425 | − | 1.68611i | −0.0121364 | − | 0.0844109i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −20.3756 | + | 23.5147i | −1.01751 | + | 1.17427i | −0.0329066 | + | 0.999458i | \(0.510476\pi\) |
−0.984602 | + | 0.174809i | \(0.944069\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −8.78861 | − | 5.64810i | −0.437792 | − | 0.281352i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.99637 | − | 1.76069i | −0.297962 | − | 0.0874895i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.1913 | − | 12.9154i | −0.554730 | − | 0.640193i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.90235 | + | 2.61397i | −0.440193 | + | 0.129252i | −0.494317 | − | 0.869282i | \(-0.664582\pi\) |
0.0541236 | + | 0.998534i | \(0.482763\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.215030 | − | 1.49556i | 0.0106066 | − | 0.0737707i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 25.5333 | 1.25641 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.88096 | 0.0923326 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.0270133 | − | 0.187881i | 0.00132284 | − | 0.00920059i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −26.8145 | + | 7.87345i | −1.30997 | + | 0.384643i | −0.860865 | − | 0.508834i | \(-0.830077\pi\) |
−0.449109 | + | 0.893477i | \(0.648259\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.13210 | − | 8.23088i | −0.347597 | − | 0.401149i | 0.554849 | − | 0.831951i | \(-0.312776\pi\) |
−0.902446 | + | 0.430802i | \(0.858231\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.519519 | + | 0.152545i | 0.0252599 | + | 0.00741698i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.64780 | − | 2.98696i | −0.225451 | − | 0.144889i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −37.7126 | + | 43.5227i | −1.82504 | + | 2.10621i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.513924 | − | 3.57442i | −0.0248125 | − | 0.172575i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.2348 | + | 22.4110i | 0.492992 | + | 1.07950i | 0.978684 | + | 0.205372i | \(0.0658404\pi\) |
−0.485692 | + | 0.874130i | \(0.661432\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.6015 | + | 27.5935i | −0.605591 | + | 1.32606i | 0.319959 | + | 0.947431i | \(0.396331\pi\) |
−0.925549 | + | 0.378627i | \(0.876396\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.279665 | − | 0.179730i | 0.0134089 | − | 0.00861738i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.70420 | − | 1.68744i | −0.129360 | − | 0.0807211i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 30.0948 | − | 19.3408i | 1.43635 | − | 0.923084i | 0.436621 | − | 0.899646i | \(-0.356175\pi\) |
0.999725 | − | 0.0234381i | \(-0.00746126\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −15.3126 | + | 33.5300i | −0.729173 | + | 1.59667i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9.75929 | + | 21.3699i | 0.463678 | + | 1.01531i | 0.986634 | + | 0.162953i | \(0.0521020\pi\) |
−0.522956 | + | 0.852360i | \(0.675171\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.01143 | − | 7.03466i | −0.0479465 | − | 0.333475i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −5.41264 | + | 6.24651i | −0.256009 | + | 0.295450i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.64071 | − | 4.26773i | −0.313395 | − | 0.201407i | 0.374482 | − | 0.927234i | \(-0.377821\pi\) |
−0.687877 | + | 0.725828i | \(0.741457\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.6608 | + | 4.30481i | 0.690352 | + | 0.202705i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 6.46866 | + | 7.46523i | 0.303924 | + | 0.350747i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 15.4103 | − | 4.52487i | 0.722445 | − | 0.212129i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.52428 | + | 10.6016i | −0.0713029 | + | 0.495923i | 0.922608 | + | 0.385738i | \(0.126053\pi\) |
−0.993911 | + | 0.110184i | \(0.964856\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 17.6718 | 0.824848 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −22.3297 | −1.04000 | −0.519999 | − | 0.854167i | \(-0.674068\pi\) | ||||
−0.519999 | + | 0.854167i | \(0.674068\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.03246 | + | 35.0015i | −0.233878 | + | 1.62666i | 0.447189 | + | 0.894439i | \(0.352425\pi\) |
−0.681068 | + | 0.732221i | \(0.738484\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.59959 | + | 0.469681i | −0.0741791 | + | 0.0217809i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.67281 | + | 5.39271i | 0.216232 | + | 0.249545i | 0.853495 | − | 0.521102i | \(-0.174479\pi\) |
−0.637263 | + | 0.770647i | \(0.719933\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.1743 | + | 5.63008i | 0.885386 | + | 0.259973i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.90808 | + | 3.15423i | 0.226152 | + | 0.145339i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7.80475 | + | 9.00716i | −0.358863 | + | 0.414150i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.0945881 | − | 0.657875i | −0.00434000 | − | 0.0301854i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.36520 | − | 5.17907i | −0.108295 | − | 0.237133i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.20741 | + | 17.9717i | −0.375006 | + | 0.821149i | 0.624198 | + | 0.781266i | \(0.285426\pi\) |
−0.999204 | + | 0.0398831i | \(0.987301\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 27.8710 | − | 17.9116i | 1.27081 | − | 0.816699i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −5.25449 | − | 11.1118i | −0.239088 | − | 0.505604i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −9.02070 | + | 5.79725i | −0.409609 | + | 0.263240i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.20195 | − | 15.7701i | 0.326352 | − | 0.714610i | −0.673343 | − | 0.739330i | \(-0.735142\pi\) |
0.999694 | + | 0.0247202i | \(0.00786948\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.65393 | + | 3.62159i | 0.0747931 | + | 0.163774i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.14963 | + | 14.9510i | 0.0970113 | + | 0.674729i | 0.979060 | + | 0.203571i | \(0.0652547\pi\) |
−0.882049 | + | 0.471158i | \(0.843836\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.13706 | − | 2.46630i | 0.0962483 | − | 0.111077i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.10659 | + | 2.63915i | 0.184578 | + | 0.118621i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 9.32038 | + | 2.73671i | 0.418076 | + | 0.122758i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.706792 | − | 0.815681i | −0.0316404 | − | 0.0365149i | 0.739709 | − | 0.672927i | \(-0.234963\pi\) |
−0.771349 | + | 0.636412i | \(0.780418\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.90863 | − | 2.02856i | 0.308655 | − | 0.0906292i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.717503 | − | 4.99034i | 0.0319919 | − | 0.222508i | −0.967553 | − | 0.252667i | \(-0.918692\pi\) |
0.999545 | + | 0.0301588i | \(0.00960131\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −19.3433 | −0.860765 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.315802 | −0.0140253 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.88031 | + | 26.9882i | −0.171992 | + | 1.19623i | 0.702677 | + | 0.711509i | \(0.251988\pi\) |
−0.874669 | + | 0.484721i | \(0.838921\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 41.0539 | − | 12.0545i | 1.81612 | − | 0.533261i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.39218 | + | 1.60666i | 0.0614662 | + | 0.0709357i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −3.13905 | − | 0.921709i | −0.138323 | − | 0.0406153i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.308832 | − | 0.198474i | −0.0135824 | − | 0.00872888i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.67915 | − | 5.40003i | 0.205392 | − | 0.237035i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.63797 | − | 39.2129i | −0.247004 | − | 1.71795i | −0.615344 | − | 0.788259i | \(-0.710983\pi\) |
0.368340 | − | 0.929691i | \(-0.379926\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.925255 | + | 2.02603i | 0.0404586 | + | 0.0885919i | 0.928782 | − | 0.370626i | \(-0.120857\pi\) |
−0.888324 | + | 0.459218i | \(0.848130\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.06469 | − | 2.33135i | 0.0464670 | − | 0.101748i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −13.7673 | + | 8.84773i | −0.599715 | + | 0.385413i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.2330 | − | 5.88996i | −0.966654 | − | 0.256085i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −12.6566 | + | 8.13388i | −0.549248 | + | 0.352980i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.3054 | + | 26.9450i | −0.533005 | + | 1.16712i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.79941 | − | 12.6989i | −0.250730 | − | 0.549023i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.26967 | + | 8.83075i | 0.0547903 | + | 0.381075i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 16.3663 | − | 18.8878i | 0.704948 | − | 0.813553i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.3697 | − | 13.7335i | −0.918757 | − | 0.590449i | −0.00646031 | − | 0.999979i | \(-0.502056\pi\) |
−0.912297 | + | 0.409530i | \(0.865693\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 7.87047 | + | 2.31098i | 0.337754 | + | 0.0991736i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.65697 | − | 3.06630i | −0.113812 | − | 0.131346i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.96789 | − | 1.16508i | 0.169655 | − | 0.0498151i | −0.195802 | − | 0.980643i | \(-0.562731\pi\) |
0.365457 | + | 0.930828i | \(0.380913\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.82914 | − | 33.5874i | 0.206103 | − | 1.43347i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.392585 | 0.0167247 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.36331 | −0.313120 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.752400 | − | 5.23306i | 0.0319376 | − | 0.222131i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 18.0076 | − | 5.28750i | 0.763005 | − | 0.224038i | 0.122997 | − | 0.992407i | \(-0.460749\pi\) |
0.640008 | + | 0.768369i | \(0.278931\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.1306 | − | 17.4616i | −0.639955 | − | 0.738547i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −5.42776 | − | 1.59373i | −0.229160 | − | 0.0672875i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 31.3641 | + | 20.1565i | 1.32184 | + | 0.849493i | 0.995407 | − | 0.0957284i | \(-0.0305180\pi\) |
0.326430 | + | 0.945222i | \(0.394154\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.65993 | − | 1.91566i | 0.0698337 | − | 0.0805923i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −4.05019 | − | 28.1697i | −0.170092 | − | 1.18301i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −14.0687 | − | 30.8062i | −0.589791 | − | 1.29146i | −0.935568 | − | 0.353145i | \(-0.885112\pi\) |
0.345778 | − | 0.938316i | \(-0.387615\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.51477 | + | 20.8344i | −0.398181 | + | 0.871894i | 0.599271 | + | 0.800546i | \(0.295457\pi\) |
−0.997452 | + | 0.0713477i | \(0.977270\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.14540 | + | 5.87739i | −0.382055 | + | 0.245532i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.05017 | − | 4.33553i | −0.0854978 | − | 0.180804i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.54447 | − | 4.20587i | 0.272450 | − | 0.175093i | −0.397281 | − | 0.917697i | \(-0.630046\pi\) |
0.669730 | + | 0.742604i | \(0.266410\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −5.65083 | + | 12.3736i | −0.234841 | + | 0.514229i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.55828 | + | 7.79154i | 0.147622 | + | 0.323247i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.549378 | + | 3.82101i | 0.0227529 | + | 0.158250i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −6.19726 | + | 7.15202i | −0.256225 | + | 0.295700i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.95601 | + | 1.25705i | 0.0807334 | + | 0.0518842i | 0.580385 | − | 0.814342i | \(-0.302902\pi\) |
−0.499651 | + | 0.866227i | \(0.666539\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.88899 | − | 0.554659i | −0.0778347 | − | 0.0228543i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.32696 | − | 7.30170i | −0.260256 | − | 0.300352i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 2.47864 | − | 0.727794i | 0.101785 | − | 0.0298869i | −0.230443 | − | 0.973086i | \(-0.574018\pi\) |
0.332229 | + | 0.943199i | \(0.392199\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.58054 | − | 24.9032i | 0.146788 | − | 1.02093i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −12.6062 | −0.515939 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 42.1037 | 1.72031 | 0.860154 | − | 0.510034i | \(-0.170367\pi\) | ||||
0.860154 | + | 0.510034i | \(0.170367\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.583040 | − | 4.05513i | 0.0237827 | − | 0.165412i | −0.974469 | − | 0.224523i | \(-0.927918\pi\) |
0.998251 | + | 0.0591111i | \(0.0188266\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −11.2980 | + | 3.31739i | −0.460089 | + | 0.135094i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 5.03607 | + | 5.81194i | 0.204745 | + | 0.236289i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.00235333 | 0.000691000i | −9.55187e−5 | 2.80468e-5i | 0.281685 | − | 0.959507i | \(-0.409107\pi\) | ||
−0.281780 | + | 0.959479i | \(0.590925\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.27355 | + | 0.818461i | 0.0516068 | + | 0.0331657i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.466058 | − | 0.537859i | 0.0188547 | − | 0.0217595i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.28902 | − | 22.8756i | −0.132842 | − | 0.923939i | −0.941824 | − | 0.336105i | \(-0.890890\pi\) |
0.808982 | − | 0.587833i | \(-0.200019\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.96367 | + | 4.29983i | 0.0791827 | + | 0.173386i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 7.61888 | − | 16.6830i | 0.306725 | − | 0.671633i | −0.692012 | − | 0.721886i | \(-0.743275\pi\) |
0.998737 | + | 0.0502528i | \(0.0160027\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −22.9352 | + | 14.7396i | −0.921846 | + | 0.592434i | −0.913193 | − | 0.407528i | \(-0.866391\pi\) |
−0.00865299 | + | 0.999963i | \(0.502754\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 13.0141 | + | 8.12085i | 0.522236 | + | 0.325878i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 27.2265 | − | 17.4974i | 1.09081 | − | 0.701018i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.282701 | − | 0.619028i | −0.0112900 | − | 0.0247216i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −7.38594 | − | 51.3703i | −0.294497 | − | 2.04827i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.47107 | − | 1.69771i | 0.0585626 | − | 0.0675848i | −0.725712 | − | 0.687998i | \(-0.758490\pi\) |
0.784275 | + | 0.620413i | \(0.213035\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 8.14369 | + | 5.23363i | 0.323683 | + | 0.208018i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 20.0114 | + | 5.87587i | 0.794127 | + | 0.233177i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 31.7283 | + | 36.6165i | 1.25712 | + | 1.45080i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.49181 | + | 1.61254i | −0.217252 | + | 0.0637911i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.62591 | − | 32.1739i | 0.182712 | − | 1.27079i | −0.667602 | − | 0.744518i | \(-0.732679\pi\) |
0.850315 | − | 0.526275i | \(-0.176412\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −33.5736 | −1.32401 | −0.662006 | − | 0.749498i | \(-0.730295\pi\) | ||||
−0.662006 | + | 0.749498i | \(0.730295\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −3.68705 | −0.145177 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.713613 | + | 4.96329i | −0.0280550 | + | 0.195127i | −0.999029 | − | 0.0440583i | \(-0.985971\pi\) |
0.970974 | + | 0.239185i | \(0.0768803\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.78736 | − | 2.87383i | 0.384187 | − | 0.112808i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.97157 | − | 5.73749i | −0.194851 | − | 0.224870i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 23.4184 | + | 6.87626i | 0.916433 | + | 0.269089i | 0.705746 | − | 0.708465i | \(-0.250612\pi\) |
0.210687 | + | 0.977554i | \(0.432430\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.44244 | − | 6.06829i | −0.368947 | − | 0.237108i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −16.5099 | + | 19.0534i | −0.644111 | + | 0.743344i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.27247 | − | 15.8054i | −0.0885230 | − | 0.615691i | −0.984994 | − | 0.172589i | \(-0.944787\pi\) |
0.896471 | − | 0.443102i | \(-0.146122\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.07431 | + | 17.6803i | 0.314054 | + | 0.687683i | 0.999169 | − | 0.0407518i | \(-0.0129753\pi\) |
−0.685115 | + | 0.728435i | \(0.740248\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 4.55572 | − | 9.97563i | 0.176929 | − | 0.387421i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.54619 | − | 1.63634i | 0.0987371 | − | 0.0634545i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.70716 | − | 0.834201i | 0.104822 | − | 0.0323004i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 5.50886 | − | 3.54033i | 0.212985 | − | 0.136877i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.55733 | + | 20.9276i | −0.368956 | + | 0.807902i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.4626 | − | 38.2379i | −0.673136 | − | 1.47396i | −0.869756 | − | 0.493482i | \(-0.835724\pi\) |
0.196621 | − | 0.980480i | \(-0.437003\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.455208 | + | 3.16604i | 0.0175210 | + | 0.121861i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 4.32917 | − | 4.99613i | 0.166383 | − | 0.192017i | −0.666435 | − | 0.745563i | \(-0.732180\pi\) |
0.832818 | + | 0.553547i | \(0.186726\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −41.0789 | − | 26.3998i | −1.57646 | − | 1.01313i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 15.2581 | + | 4.48017i | 0.584690 | + | 0.171681i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 12.6311 | + | 14.5770i | 0.483314 | + | 0.557774i | 0.944067 | − | 0.329755i | \(-0.106966\pi\) |
−0.460753 | + | 0.887528i | \(0.652421\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.57589 | − | 0.756348i | 0.0984195 | − | 0.0288986i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.204347 | − | 1.42126i | 0.00779632 | − | 0.0542246i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −7.48371 | −0.285107 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.1722 | 0.386970 | 0.193485 | − | 0.981103i | \(-0.438021\pi\) | ||||
0.193485 | + | 0.981103i | \(0.438021\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.16361 | + | 22.0034i | −0.120176 | + | 0.835840i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.323597 | − | 0.0950168i | 0.0122747 | − | 0.00360419i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 30.3872 | + | 35.0687i | 1.15100 | + | 1.32832i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 11.5311 | + | 3.38583i | 0.436146 | + | 0.128064i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.57505 | + | 1.65489i | 0.0972583 | + | 0.0625041i | 0.588366 | − | 0.808595i | \(-0.299771\pi\) |
−0.491108 | + | 0.871099i | \(0.663408\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.08856 | − | 4.71845i | 0.154203 | − | 0.177960i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.0161627 | − | 0.112414i | −0.000608722 | − | 0.00423376i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −36.5924 | − | 80.1262i | −1.37620 | − | 3.01345i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.76120 | + | 8.23589i | −0.141255 | + | 0.309305i | −0.967016 | − | 0.254714i | \(-0.918019\pi\) |
0.825761 | + | 0.564020i | \(0.190746\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.64991 | − | 2.34565i | 0.136882 | − | 0.0879689i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −14.2046 | + | 0.189138i | −0.531965 | + | 0.00708327i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.39775 | − | 3.46892i | 0.201864 | − | 0.129730i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.22079 | + | 2.67315i | −0.0455911 | + | 0.0998305i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.79675 | − | 21.4519i | −0.365357 | − | 0.800021i | −0.999638 | − | 0.0269178i | \(-0.991431\pi\) |
0.634280 | − | 0.773103i | \(-0.281296\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.12024 | − | 14.7466i | −0.0789619 | − | 0.549192i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 9.85204 | − | 11.3699i | 0.366401 | − | 0.422849i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.496906 | + | 0.319342i | 0.0184546 | + | 0.0118601i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 26.7171 | + | 7.84485i | 0.990882 | + | 0.290949i | 0.736709 | − | 0.676210i | \(-0.236379\pi\) |
0.254173 | + | 0.967159i | \(0.418197\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 7.44468 | + | 8.59162i | 0.275729 | + | 0.318208i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −34.7278 | + | 10.1970i | −1.28446 | + | 0.377150i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.84269 | + | 26.7265i | −0.141933 | + | 0.987166i | 0.787009 | + | 0.616941i | \(0.211628\pi\) |
−0.928942 | + | 0.370225i | \(0.879281\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 7.73163 | 0.285186 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 7.98351 | 0.294076 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.35011 | + | 23.3005i | −0.123236 | + | 0.857123i | 0.830616 | + | 0.556845i | \(0.187988\pi\) |
−0.953852 | + | 0.300278i | \(0.902921\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.26585 | − | 0.371687i | 0.0465022 | − | 0.0136543i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −29.9064 | − | 34.5138i | −1.09716 | − | 1.26619i | −0.961313 | − | 0.275460i | \(-0.911170\pi\) |
−0.135847 | − | 0.990730i | \(-0.543376\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.0909 | − | 4.13746i | −0.516250 | − | 0.151585i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −4.24586 | − | 2.72865i | −0.155348 | − | 0.0998361i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 41.6321 | − | 48.0460i | 1.52120 | − | 1.75556i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.164132 | − | 1.14156i | −0.00598927 | − | 0.0416563i | 0.986608 | − | 0.163111i | \(-0.0521530\pi\) |
−0.992597 | + | 0.121455i | \(0.961244\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 5.88864 | + | 12.8943i | 0.214594 | + | 0.469895i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −7.29095 | + | 15.9649i | −0.265345 | + | 0.581024i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.0292610 | − | 0.0188049i | 0.00106351 | − | 0.000683475i | −0.540109 | − | 0.841595i | \(-0.681617\pi\) |
0.541172 | + | 0.840912i | \(0.317981\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.26479 | − | 3.66794i | −0.118504 | − | 0.133138i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 27.9854 | − | 17.9851i | 1.01447 | − | 0.651960i | 0.0759230 | − | 0.997114i | \(-0.475810\pi\) |
0.938546 | + | 0.345154i | \(0.112173\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.67533 | − | 16.8066i | 0.277866 | − | 0.608441i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 6.15832 | + | 13.4848i | 0.222655 | + | 0.487546i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.81430 | + | 19.5739i | 0.101618 | + | 0.706771i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.7498 | + | 14.7141i | −0.459771 | + | 0.530604i | −0.937538 | − | 0.347883i | \(-0.886901\pi\) |
0.477767 | + | 0.878486i | \(0.341446\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.783965 | + | 0.503824i | 0.0282338 | + | 0.0181448i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −43.2250 | − | 12.6920i | −1.55470 | − | 0.456500i | −0.612196 | − | 0.790706i | \(-0.709714\pi\) |
−0.942500 | + | 0.334206i | \(0.891532\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.93978 | − | 2.23862i | −0.0696788 | − | 0.0804136i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 23.1004 | − | 6.78288i | 0.828721 | − | 0.243334i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.794435 | + | 5.52542i | −0.0284636 | + | 0.197969i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.88068 | 0.138862 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.88933 | −0.0675190 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.47527 | + | 10.2607i | −0.0526546 | + | 0.366221i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.91948 | + | 1.15086i | −0.139714 | + | 0.0410238i | −0.350842 | − | 0.936435i | \(-0.614105\pi\) |
0.211128 | + | 0.977458i | \(0.432286\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −10.7614 | − | 12.4193i | −0.383115 | − | 0.442138i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 11.0754 | + | 3.25204i | 0.393796 | + | 0.115629i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −37.5212 | − | 24.1134i | −1.33242 | − | 0.856293i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.782058 | + | 0.902543i | −0.0277367 | + | 0.0320099i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −7.59506 | − | 52.8248i | −0.269031 | − | 1.87115i | −0.457696 | − | 0.889109i | \(-0.651325\pi\) |
0.188665 | − | 0.982041i | \(-0.439584\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.463130 | − | 1.01411i | −0.0163844 | − | 0.0358767i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −7.92189 | + | 17.3465i | −0.279906 | + | 0.612909i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 14.3799 | − | 9.24141i | 0.507456 | − | 0.326122i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 14.0808 | − | 16.6941i | 0.496283 | − | 0.588391i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.10264 | − | 5.84991i | 0.320428 | − | 0.205927i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −8.64750 | + | 18.9354i | −0.304030 | + | 0.665732i | −0.998555 | − | 0.0537358i | \(-0.982887\pi\) |
0.694525 | + | 0.719468i | \(0.255614\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −15.3282 | − | 33.5641i | −0.538246 | − | 1.17860i | −0.962058 | − | 0.272845i | \(-0.912035\pi\) |
0.423812 | − | 0.905750i | \(-0.360692\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.08922 | + | 14.5308i | 0.0732720 | + | 0.509618i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.63254 | + | 5.34624i | −0.162271 | + | 0.187271i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.66293 | − | 2.35402i | −0.128150 | − | 0.0823568i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −41.3495 | − | 12.1413i | −1.44487 | − | 0.424252i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 11.5238 | + | 13.2991i | 0.402182 | + | 0.464143i | 0.920327 | − | 0.391150i | \(-0.127923\pi\) |
−0.518145 | + | 0.855293i | \(0.673377\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −47.4767 | + | 13.9404i | −1.65493 | + | 0.485932i | −0.970087 | − | 0.242756i | \(-0.921949\pi\) |
−0.684846 | + | 0.728688i | \(0.740130\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.145716 | − | 1.01348i | 0.00507319 | − | 0.0352848i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 6.51376 | 0.226505 | 0.113253 | − | 0.993566i | \(-0.463873\pi\) | ||||
0.113253 | + | 0.993566i | \(0.463873\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.76122 | −0.165364 | −0.0826819 | − | 0.996576i | \(-0.526349\pi\) | ||||
−0.0826819 | + | 0.996576i | \(0.526349\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.57151 | + | 17.8852i | −0.0892046 | + | 0.620431i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 72.8232 | − | 21.3828i | 2.52317 | − | 0.740871i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.37790 | + | 9.66862i | 0.289929 | + | 0.334596i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 9.09084 | + | 2.66931i | 0.314225 | + | 0.0922649i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −9.16296 | − | 5.88867i | −0.316340 | − | 0.203300i | 0.372829 | − | 0.927900i | \(-0.378388\pi\) |
−0.689169 | + | 0.724601i | \(0.742024\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.7625 | − | 21.6531i | 0.646982 | − | 0.746657i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −0.119571 | − | 0.831637i | −0.00411826 | − | 0.0286431i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.233095 | − | 0.510407i | −0.00801872 | − | 0.0175585i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −14.5480 | + | 31.8557i | −0.499875 | + | 1.09457i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.98844 | + | 1.27789i | −0.0682431 | + | 0.0438572i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 18.1674 | − | 41.2249i | 0.622769 | − | 1.41317i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −17.1317 | + | 11.0098i | −0.586577 | + | 0.376970i | −0.800009 | − | 0.599988i | \(-0.795172\pi\) |
0.213432 | + | 0.976958i | \(0.431536\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.740847 | + | 1.62223i | −0.0253364 | + | 0.0554790i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.92284 | − | 4.21044i | −0.0656830 | − | 0.143826i | 0.873943 | − | 0.486028i | \(-0.161555\pi\) |
−0.939626 | + | 0.342202i | \(0.888827\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.38544 | + | 23.5462i | 0.115510 | + | 0.803387i | 0.962403 | + | 0.271625i | \(0.0875610\pi\) |
−0.846894 | + | 0.531762i | \(0.821530\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −14.0965 | + | 16.2683i | −0.480409 | + | 0.554421i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −14.1504 | − | 9.09389i | −0.481684 | − | 0.309560i | 0.277169 | − | 0.960821i | \(-0.410604\pi\) |
−0.758853 | + | 0.651261i | \(0.774240\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 12.1814 | + | 3.57677i | 0.414179 | + | 0.121614i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −4.98444 | − | 5.75235i | −0.169280 | − | 0.195360i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.82249 | + | 0.828756i | −0.0957463 | + | 0.0281136i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.20262 | + | 15.3196i | −0.0746330 | + | 0.519084i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 28.7722 | 0.973792 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 4.55384 | 0.153948 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −6.93533 | + | 48.2363i | −0.234190 | + | 1.62882i | 0.445470 | + | 0.895297i | \(0.353036\pi\) |
−0.679660 | + | 0.733527i | \(0.737873\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 2.78415 | − | 0.817501i | 0.0939071 | − | 0.0275736i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.08703 | − | 9.33293i | −0.272459 | − | 0.314434i | 0.602986 | − | 0.797751i | \(-0.293977\pi\) |
−0.875445 | + | 0.483317i | \(0.839432\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 18.9049 | + | 5.55097i | 0.636199 | + | 0.186805i | 0.583899 | − | 0.811826i | \(-0.301526\pi\) |
0.0523005 | + | 0.998631i | \(0.483345\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.65472 | + | 1.70609i | 0.0892376 | + | 0.0573495i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −21.7519 | + | 25.1031i | −0.730359 | + | 0.842879i | −0.992512 | − | 0.122147i | \(-0.961022\pi\) |
0.262153 | + | 0.965026i | \(0.415567\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.5165 | + | 94.0091i | 0.453328 | + | 3.15296i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −4.72306 | − | 10.3421i | −0.158228 | − | 0.346472i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.0557145 | − | 0.121998i | 0.00186442 | − | 0.00408250i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −13.3353 | + | 8.57011i | −0.445752 | + | 0.286467i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.93915 | − | 5.25285i | 0.265081 | − | 0.175387i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.47190 | − | 0.945930i | 0.0490905 | − | 0.0315485i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.87000 | + | 10.6638i | −0.162243 | + | 0.355263i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −6.97492 | − | 15.2729i | −0.232111 | − | 0.508252i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.07418 | + | 14.4262i | 0.0689480 | + | 0.479544i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.61855 | − | 6.48415i | 0.186561 | − | 0.215303i | −0.654763 | − | 0.755834i | \(-0.727231\pi\) |
0.841324 | + | 0.540532i | \(0.181777\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 43.6634 | + | 28.0607i | 1.44822 | + | 0.930716i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −0.616993 | − | 0.181165i | −0.0204419 | − | 0.00600228i | 0.271496 | − | 0.962440i | \(-0.412482\pi\) |
−0.291938 | + | 0.956437i | \(0.594300\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.24090 | + | 2.58614i | 0.0741630 | + | 0.0855887i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −6.82912 | + | 2.00521i | −0.225764 | + | 0.0662902i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.27421 | − | 50.5932i | 0.240215 | − | 1.67074i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 43.8514 | 1.44652 | 0.723261 | − | 0.690574i | \(-0.242642\pi\) | ||||
0.723261 | + | 0.690574i | \(0.242642\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −15.6474 | −0.515598 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1.07067 | + | 7.44665i | −0.0352414 | + | 0.245110i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.01316 | − | 2.64650i | 0.296351 | − | 0.0870164i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 5.74865 | + | 6.63429i | 0.188810 | + | 0.217899i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 42.2335 | + | 12.4009i | 1.38564 | + | 0.406860i | 0.887728 | − | 0.460369i | \(-0.152283\pi\) |
0.497910 | + | 0.867229i | \(0.334101\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.68105 | + | 4.93631i | 0.251736 | + | 0.161781i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.650801 | − | 0.751064i | 0.0213063 | − | 0.0245887i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.43043 | − | 9.94883i | −0.0467799 | − | 0.325362i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.65945 | + | 14.5822i | 0.217555 | + | 0.476378i | 0.986670 | − | 0.162731i | \(-0.0520303\pi\) |
−0.769116 | + | 0.639110i | \(0.779303\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0.649936 | − | 1.42316i | 0.0212098 | − | 0.0464431i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −39.9334 | + | 25.6636i | −1.30179 | + | 0.836610i | −0.993406 | − | 0.114651i | \(-0.963425\pi\) |
−0.308385 | + | 0.951262i | \(0.599789\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.26272 | + | 39.7898i | 0.203942 | + | 1.29574i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −12.2536 | + | 7.87493i | −0.398611 | + | 0.256171i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 9.59459 | − | 21.0092i | 0.311782 | − | 0.682708i | −0.687262 | − | 0.726409i | \(-0.741188\pi\) |
0.999045 | + | 0.0437014i | \(0.0139150\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.7660 | + | 30.1433i | 0.446863 | + | 0.978494i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.134606 | − | 0.936204i | −0.00436489 | − | 0.0303585i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4.77450 | + | 5.51006i | −0.154661 | + | 0.178488i | −0.827792 | − | 0.561035i | \(-0.810403\pi\) |
0.673131 | + | 0.739523i | \(0.264949\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −16.2495 | − | 10.4429i | −0.525821 | − | 0.337924i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.580293 | + | 0.170389i | 0.0187582 | + | 0.00550791i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 8.00593 | + | 9.23934i | 0.258525 | + | 0.298354i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.3255 | − | 6.26174i | 0.687921 | − | 0.201992i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5.33103 | + | 37.0782i | −0.171790 | + | 1.19483i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −24.1694 | −0.778042 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −42.8073 | −1.37659 | −0.688295 | − | 0.725431i | \(-0.741641\pi\) | ||||
−0.688295 | + | 0.725431i | \(0.741641\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.294117 | − | 2.04563i | 0.00944840 | − | 0.0657151i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −9.41499 | + | 2.76449i | −0.302141 | + | 0.0887167i | −0.429289 | − | 0.903167i | \(-0.641236\pi\) |
0.127148 | + | 0.991884i | \(0.459418\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.00575 | + | 1.16070i | 0.0322429 | + | 0.0372103i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.90457 | + | 0.559231i | 0.0609949 | + | 0.0179097i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −39.0564 | − | 25.1000i | −1.24952 | − | 0.803021i | −0.262710 | − | 0.964875i | \(-0.584616\pi\) |
−0.986815 | + | 0.161854i | \(0.948253\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.46701 | − | 9.77145i | 0.270607 | − | 0.312297i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.54934 | + | 10.7759i | 0.0494667 | + | 0.344048i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −7.96811 | − | 17.4477i | −0.254143 | − | 0.556496i | 0.738959 | − | 0.673751i | \(-0.235318\pi\) |
−0.993102 | + | 0.117255i | \(0.962591\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.13124 | − | 15.6152i | 0.227220 | − | 0.497543i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.435080 | − | 0.279609i | 0.0138487 | − | 0.00890004i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −30.2606 | − | 8.44935i | −0.962231 | − | 0.268674i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 22.1892 | − | 14.2601i | 0.704864 | − | 0.452988i | −0.138478 | − | 0.990365i | \(-0.544221\pi\) |
0.843342 | + | 0.537377i | \(0.180585\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −5.10352 | + | 11.1752i | −0.161955 | + | 0.354633i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −9.30474 | − | 20.3745i | −0.294980 | − | 0.645916i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.99309 | + | 34.7277i | 0.158133 | + | 1.09984i | 0.902070 | + | 0.431589i | \(0.142047\pi\) |
−0.743938 | + | 0.668249i | \(0.767044\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −19.6763 | + | 22.7077i | −0.622531 | + | 0.718439i |
(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 | 460.2.m.a.81.2 | ✓ | 30 | |
23.2 | even | 11 | inner | 460.2.m.a.301.2 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.a.81.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
460.2.m.a.301.2 | yes | 30 | 23.2 | even | 11 | inner |