Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(28,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.e (of order \(9\), degree \(6\), not 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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 99.4 | ||
Character | \(\chi\) | \(=\) | 361.99 |
Dual form | 361.2.e.m.62.4 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.78740 | + | 0.650561i | 1.26388 | + | 0.460016i | 0.885070 | − | 0.465457i | \(-0.154110\pi\) |
0.378813 | + | 0.925473i | \(0.376332\pi\) | |||||||
\(3\) | 0.330298 | + | 1.87322i | 0.190698 | + | 1.08150i | 0.918413 | + | 0.395622i | \(0.129471\pi\) |
−0.727715 | + | 0.685879i | \(0.759418\pi\) | |||||||
\(4\) | 1.23949 | + | 1.04005i | 0.619743 | + | 0.520026i | ||||
\(5\) | −2.47897 | + | 2.08010i | −1.10863 | + | 0.930251i | −0.997975 | − | 0.0636079i | \(-0.979739\pi\) |
−0.110655 | + | 0.993859i | \(0.535295\pi\) | |||||||
\(6\) | −0.628265 | + | 3.56307i | −0.256488 | + | 1.45462i | ||||
\(7\) | −0.118034 | + | 0.204441i | −0.0446127 | + | 0.0772714i | −0.887469 | − | 0.460866i | \(-0.847539\pi\) |
0.842857 | + | 0.538138i | \(0.180872\pi\) | |||||||
\(8\) | −0.363271 | − | 0.629204i | −0.128436 | − | 0.222457i | ||||
\(9\) | −0.580762 | + | 0.211380i | −0.193587 | + | 0.0704600i | ||||
\(10\) | −5.78415 | + | 2.10526i | −1.82911 | + | 0.665742i | ||||
\(11\) | 0.690983 | + | 1.19682i | 0.208339 | + | 0.360854i | 0.951191 | − | 0.308601i | \(-0.0998609\pi\) |
−0.742852 | + | 0.669455i | \(0.766528\pi\) | |||||||
\(12\) | −1.53884 | + | 2.66535i | −0.444225 | + | 0.769421i | ||||
\(13\) | −0.126163 | + | 0.715505i | −0.0349913 | + | 0.198445i | −0.997292 | − | 0.0735419i | \(-0.976570\pi\) |
0.962301 | + | 0.271987i | \(0.0876808\pi\) | |||||||
\(14\) | −0.343975 | + | 0.288630i | −0.0919313 | + | 0.0771395i | ||||
\(15\) | −4.71528 | − | 3.95659i | −1.21748 | − | 1.02159i | ||||
\(16\) | −0.801913 | − | 4.54788i | −0.200478 | − | 1.13697i | ||||
\(17\) | 6.08182 | + | 2.21360i | 1.47506 | + | 0.536877i | 0.949469 | − | 0.313862i | \(-0.101623\pi\) |
0.525589 | + | 0.850739i | \(0.323845\pi\) | |||||||
\(18\) | −1.17557 | −0.277085 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −5.23607 | −1.17082 | ||||||||
\(21\) | −0.421948 | − | 0.153577i | −0.0920767 | − | 0.0335132i | ||||
\(22\) | 0.456461 | + | 2.58872i | 0.0973179 | + | 0.551917i | ||||
\(23\) | −0.292603 | − | 0.245523i | −0.0610119 | − | 0.0511951i | 0.611772 | − | 0.791034i | \(-0.290457\pi\) |
−0.672784 | + | 0.739839i | \(0.734902\pi\) | |||||||
\(24\) | 1.05865 | − | 0.888311i | 0.216095 | − | 0.181326i | ||||
\(25\) | 0.950226 | − | 5.38900i | 0.190045 | − | 1.07780i | ||||
\(26\) | −0.690983 | + | 1.19682i | −0.135513 | + | 0.234715i | ||||
\(27\) | 2.26538 | + | 3.92376i | 0.435973 | + | 0.755128i | ||||
\(28\) | −0.358931 | + | 0.130640i | −0.0678315 | + | 0.0246887i | ||||
\(29\) | 3.99675 | − | 1.45470i | 0.742178 | − | 0.270131i | 0.0568676 | − | 0.998382i | \(-0.481889\pi\) |
0.685311 | + | 0.728251i | \(0.259666\pi\) | |||||||
\(30\) | −5.85410 | − | 10.1396i | −1.06881 | − | 1.85123i | ||||
\(31\) | −0.951057 | + | 1.64728i | −0.170815 | + | 0.295860i | −0.938705 | − | 0.344722i | \(-0.887973\pi\) |
0.767890 | + | 0.640582i | \(0.221307\pi\) | |||||||
\(32\) | 1.27300 | − | 7.21956i | 0.225037 | − | 1.27625i | ||||
\(33\) | −2.01367 | + | 1.68967i | −0.350534 | + | 0.294133i | ||||
\(34\) | 9.43057 | + | 7.91319i | 1.61733 | + | 1.35710i | ||||
\(35\) | −0.132655 | − | 0.752326i | −0.0224229 | − | 0.127166i | ||||
\(36\) | −0.939693 | − | 0.342020i | −0.156615 | − | 0.0570034i | ||||
\(37\) | −6.60440 | −1.08576 | −0.542878 | − | 0.839812i | \(-0.682665\pi\) | ||||
−0.542878 | + | 0.839812i | \(0.682665\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.38197 | −0.221292 | ||||||||
\(40\) | 2.20935 | + | 0.804138i | 0.349329 | + | 0.127145i | ||||
\(41\) | −0.378488 | − | 2.14651i | −0.0591100 | − | 0.335229i | 0.940884 | − | 0.338729i | \(-0.109997\pi\) |
−0.999994 | + | 0.00349997i | \(0.998886\pi\) | |||||||
\(42\) | −0.654280 | − | 0.549006i | −0.100958 | − | 0.0847135i | ||||
\(43\) | 7.14431 | − | 5.99479i | 1.08950 | − | 0.914197i | 0.0928230 | − | 0.995683i | \(-0.470411\pi\) |
0.996675 | + | 0.0814857i | \(0.0259665\pi\) | |||||||
\(44\) | −0.388289 | + | 2.20210i | −0.0585368 | + | 0.331979i | ||||
\(45\) | 1.00000 | − | 1.73205i | 0.149071 | − | 0.258199i | ||||
\(46\) | −0.363271 | − | 0.629204i | −0.0535614 | − | 0.0927711i | ||||
\(47\) | 10.7803 | − | 3.92370i | 1.57247 | − | 0.572331i | 0.598917 | − | 0.800811i | \(-0.295598\pi\) |
0.973549 | + | 0.228480i | \(0.0733757\pi\) | |||||||
\(48\) | 8.25428 | − | 3.00431i | 1.19140 | − | 0.433635i | ||||
\(49\) | 3.47214 | + | 6.01392i | 0.496019 | + | 0.859131i | ||||
\(50\) | 5.20431 | − | 9.01413i | 0.736001 | − | 1.27479i | ||||
\(51\) | −2.13774 | + | 12.1237i | −0.299343 | + | 1.69766i | ||||
\(52\) | −0.900539 | + | 0.755642i | −0.124882 | + | 0.104789i | ||||
\(53\) | −3.81475 | − | 3.20095i | −0.523996 | − | 0.439685i | 0.342026 | − | 0.939690i | \(-0.388887\pi\) |
−0.866022 | + | 0.500006i | \(0.833331\pi\) | |||||||
\(54\) | 1.49651 | + | 8.48711i | 0.203649 | + | 1.15495i | ||||
\(55\) | −4.20243 | − | 1.52956i | −0.566656 | − | 0.206246i | ||||
\(56\) | 0.171513 | 0.0229194 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.09017 | 1.06229 | ||||||||
\(59\) | −8.25428 | − | 3.00431i | −1.07462 | − | 0.391128i | −0.256715 | − | 0.966487i | \(-0.582640\pi\) |
−0.817901 | + | 0.575359i | \(0.804862\pi\) | |||||||
\(60\) | −1.72947 | − | 9.80828i | −0.223273 | − | 1.26624i | ||||
\(61\) | −7.25608 | − | 6.08857i | −0.929045 | − | 0.779562i | 0.0466003 | − | 0.998914i | \(-0.485161\pi\) |
−0.975646 | + | 0.219352i | \(0.929606\pi\) | |||||||
\(62\) | −2.77157 | + | 2.32563i | −0.351990 | + | 0.295355i | ||||
\(63\) | 0.0253349 | − | 0.143682i | 0.00319190 | − | 0.0181022i | ||||
\(64\) | 2.35410 | − | 4.07742i | 0.294263 | − | 0.509678i | ||||
\(65\) | −1.17557 | − | 2.03615i | −0.145812 | − | 0.252553i | ||||
\(66\) | −4.69846 | + | 1.71010i | −0.578341 | + | 0.210499i | ||||
\(67\) | −12.2510 | + | 4.45901i | −1.49670 | + | 0.544755i | −0.955204 | − | 0.295947i | \(-0.904365\pi\) |
−0.541498 | + | 0.840702i | \(0.682142\pi\) | |||||||
\(68\) | 5.23607 | + | 9.06914i | 0.634967 | + | 1.09979i | ||||
\(69\) | 0.363271 | − | 0.629204i | 0.0437327 | − | 0.0757473i | ||||
\(70\) | 0.252326 | − | 1.43101i | 0.0301587 | − | 0.171038i | ||||
\(71\) | 7.76088 | − | 6.51215i | 0.921047 | − | 0.772850i | −0.0531415 | − | 0.998587i | \(-0.516923\pi\) |
0.974188 | + | 0.225737i | \(0.0724790\pi\) | |||||||
\(72\) | 0.343975 | + | 0.288630i | 0.0405379 | + | 0.0340153i | ||||
\(73\) | 1.56283 | + | 8.86327i | 0.182916 | + | 1.03737i | 0.928604 | + | 0.371072i | \(0.121010\pi\) |
−0.745688 | + | 0.666295i | \(0.767879\pi\) | |||||||
\(74\) | −11.8047 | − | 4.29656i | −1.37227 | − | 0.499465i | ||||
\(75\) | 10.4086 | 1.20188 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.326238 | −0.0371783 | ||||||||
\(78\) | −2.47013 | − | 0.899053i | −0.279687 | − | 0.101798i | ||||
\(79\) | −0.816543 | − | 4.63084i | −0.0918682 | − | 0.521011i | −0.995662 | − | 0.0930426i | \(-0.970341\pi\) |
0.903794 | − | 0.427968i | \(-0.140770\pi\) | |||||||
\(80\) | 11.4480 | + | 9.60599i | 1.27992 | + | 1.07398i | ||||
\(81\) | −8.02212 | + | 6.73136i | −0.891347 | + | 0.747929i | ||||
\(82\) | 0.719928 | − | 4.08291i | 0.0795027 | − | 0.450882i | ||||
\(83\) | 1.61803 | − | 2.80252i | 0.177602 | − | 0.307616i | −0.763456 | − | 0.645859i | \(-0.776499\pi\) |
0.941059 | + | 0.338243i | \(0.109833\pi\) | |||||||
\(84\) | −0.363271 | − | 0.629204i | −0.0396361 | − | 0.0686518i | ||||
\(85\) | −19.6812 | + | 7.16336i | −2.13472 | + | 0.776976i | ||||
\(86\) | 16.6697 | − | 6.06729i | 1.79754 | − | 0.654252i | ||||
\(87\) | 4.04508 | + | 7.00629i | 0.433679 | + | 0.751153i | ||||
\(88\) | 0.502029 | − | 0.869539i | 0.0535164 | − | 0.0926932i | ||||
\(89\) | 1.29141 | − | 7.32395i | 0.136889 | − | 0.776338i | −0.836636 | − | 0.547759i | \(-0.815481\pi\) |
0.973525 | − | 0.228579i | \(-0.0734078\pi\) | |||||||
\(90\) | 2.91421 | − | 2.44531i | 0.307184 | − | 0.257758i | ||||
\(91\) | −0.131387 | − | 0.110247i | −0.0137731 | − | 0.0115570i | ||||
\(92\) | −0.107320 | − | 0.608645i | −0.0111889 | − | 0.0634556i | ||||
\(93\) | −3.39984 | − | 1.23744i | −0.352547 | − | 0.128317i | ||||
\(94\) | 21.8213 | 2.25070 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 13.9443 | 1.42318 | ||||||||
\(97\) | 4.15792 | + | 1.51336i | 0.422173 | + | 0.153658i | 0.544366 | − | 0.838848i | \(-0.316770\pi\) |
−0.122193 | + | 0.992506i | \(0.538993\pi\) | |||||||
\(98\) | 2.29368 | + | 13.0081i | 0.231697 | + | 1.31402i | ||||
\(99\) | −0.654280 | − | 0.549006i | −0.0657576 | − | 0.0551772i | ||||
\(100\) | 6.78264 | − | 5.69131i | 0.678264 | − | 0.569131i | ||||
\(101\) | 0.684916 | − | 3.88435i | 0.0681517 | − | 0.386507i | −0.931584 | − | 0.363526i | \(-0.881573\pi\) |
0.999736 | − | 0.0229817i | \(-0.00731594\pi\) | |||||||
\(102\) | −11.7082 | + | 20.2792i | −1.15928 | + | 2.00794i | ||||
\(103\) | −5.56758 | − | 9.64333i | −0.548590 | − | 0.950186i | −0.998371 | − | 0.0570473i | \(-0.981831\pi\) |
0.449781 | − | 0.893139i | \(-0.351502\pi\) | |||||||
\(104\) | 0.496030 | − | 0.180540i | 0.0486397 | − | 0.0177034i | ||||
\(105\) | 1.36545 | − | 0.496984i | 0.133255 | − | 0.0485007i | ||||
\(106\) | −4.73607 | − | 8.20311i | −0.460008 | − | 0.796757i | ||||
\(107\) | −2.99193 | + | 5.18217i | −0.289240 | + | 0.500979i | −0.973629 | − | 0.228139i | \(-0.926736\pi\) |
0.684388 | + | 0.729118i | \(0.260069\pi\) | |||||||
\(108\) | −1.27300 | + | 7.21956i | −0.122495 | + | 0.694703i | ||||
\(109\) | −2.35764 | + | 1.97830i | −0.225821 | + | 0.189486i | −0.748678 | − | 0.662934i | \(-0.769311\pi\) |
0.522856 | + | 0.852421i | \(0.324866\pi\) | |||||||
\(110\) | −6.51636 | − | 5.46788i | −0.621311 | − | 0.521342i | ||||
\(111\) | −2.18142 | − | 12.3715i | −0.207051 | − | 1.17425i | ||||
\(112\) | 1.02442 | + | 0.372860i | 0.0967990 | + | 0.0352320i | ||||
\(113\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.23607 | 0.115264 | ||||||||
\(116\) | 6.46688 | + | 2.35375i | 0.600435 | + | 0.218540i | ||||
\(117\) | −0.0779729 | − | 0.442206i | −0.00720860 | − | 0.0408820i | ||||
\(118\) | −12.7992 | − | 10.7398i | −1.17826 | − | 0.988681i | ||||
\(119\) | −1.17041 | + | 0.982092i | −0.107291 | + | 0.0900282i | ||||
\(120\) | −0.776578 | + | 4.40419i | −0.0708916 | + | 0.402046i | ||||
\(121\) | 4.54508 | − | 7.87232i | 0.413190 | − | 0.715665i | ||||
\(122\) | −9.00854 | − | 15.6032i | −0.815595 | − | 1.41265i | ||||
\(123\) | 3.89587 | − | 1.41798i | 0.351279 | − | 0.127855i | ||||
\(124\) | −2.89208 | + | 1.05263i | −0.259716 | + | 0.0945289i | ||||
\(125\) | 0.763932 | + | 1.32317i | 0.0683282 | + | 0.118348i | ||||
\(126\) | 0.138757 | − | 0.240335i | 0.0123615 | − | 0.0214107i | ||||
\(127\) | 2.16752 | − | 12.2926i | 0.192336 | − | 1.09079i | −0.723825 | − | 0.689983i | \(-0.757618\pi\) |
0.916161 | − | 0.400810i | \(-0.131271\pi\) | |||||||
\(128\) | −4.37131 | + | 3.66796i | −0.386373 | + | 0.324205i | ||||
\(129\) | 13.5893 | + | 11.4028i | 1.19647 | + | 1.00396i | ||||
\(130\) | −0.776578 | − | 4.40419i | −0.0681104 | − | 0.386273i | ||||
\(131\) | −5.72289 | − | 2.08296i | −0.500011 | − | 0.181989i | 0.0796879 | − | 0.996820i | \(-0.474608\pi\) |
−0.579699 | + | 0.814831i | \(0.696830\pi\) | |||||||
\(132\) | −4.25325 | −0.370198 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −24.7984 | −2.14225 | ||||||||
\(135\) | −13.7777 | − | 5.01466i | −1.18579 | − | 0.431593i | ||||
\(136\) | −0.816543 | − | 4.63084i | −0.0700180 | − | 0.397092i | ||||
\(137\) | 6.67087 | + | 5.59753i | 0.569931 | + | 0.478229i | 0.881623 | − | 0.471954i | \(-0.156451\pi\) |
−0.311692 | + | 0.950183i | \(0.600896\pi\) | |||||||
\(138\) | 1.05865 | − | 0.888311i | 0.0901180 | − | 0.0756180i | ||||
\(139\) | −2.09944 | + | 11.9065i | −0.178072 | + | 1.00990i | 0.756466 | + | 0.654033i | \(0.226924\pi\) |
−0.934538 | + | 0.355863i | \(0.884187\pi\) | |||||||
\(140\) | 0.618034 | − | 1.07047i | 0.0522334 | − | 0.0904709i | ||||
\(141\) | 10.9106 | + | 18.8978i | 0.918842 | + | 1.59148i | ||||
\(142\) | 18.1084 | − | 6.59090i | 1.51962 | − | 0.553096i | ||||
\(143\) | −0.943505 | + | 0.343408i | −0.0788999 | + | 0.0287172i | ||||
\(144\) | 1.42705 | + | 2.47172i | 0.118921 | + | 0.205977i | ||||
\(145\) | −6.88191 | + | 11.9198i | −0.571511 | + | 0.989887i | ||||
\(146\) | −2.97269 | + | 16.8589i | −0.246021 | + | 1.39526i | ||||
\(147\) | −10.1185 | + | 8.49045i | −0.834561 | + | 0.700280i | ||||
\(148\) | −8.18605 | − | 6.86892i | −0.672890 | − | 0.564621i | ||||
\(149\) | 1.04787 | + | 5.94277i | 0.0858448 | + | 0.486850i | 0.997171 | + | 0.0751654i | \(0.0239485\pi\) |
−0.911326 | + | 0.411685i | \(0.864940\pi\) | |||||||
\(150\) | 18.6044 | + | 6.77144i | 1.51904 | + | 0.552886i | ||||
\(151\) | −17.2905 | −1.40708 | −0.703542 | − | 0.710654i | \(-0.748399\pi\) | ||||
−0.703542 | + | 0.710654i | \(0.748399\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.00000 | −0.323381 | ||||||||
\(154\) | −0.583118 | − | 0.212238i | −0.0469890 | − | 0.0171026i | ||||
\(155\) | −1.06887 | − | 6.06185i | −0.0858536 | − | 0.486900i | ||||
\(156\) | −1.71293 | − | 1.43732i | −0.137144 | − | 0.115077i | ||||
\(157\) | −3.49493 | + | 2.93259i | −0.278926 | + | 0.234046i | −0.771508 | − | 0.636219i | \(-0.780497\pi\) |
0.492583 | + | 0.870266i | \(0.336053\pi\) | |||||||
\(158\) | 1.55316 | − | 8.80839i | 0.123562 | − | 0.700758i | ||||
\(159\) | 4.73607 | − | 8.20311i | 0.375595 | − | 0.650549i | ||||
\(160\) | 11.8617 | + | 20.5451i | 0.937750 | + | 1.62423i | ||||
\(161\) | 0.0847320 | − | 0.0308399i | 0.00667782 | − | 0.00243053i | ||||
\(162\) | −18.7179 | + | 6.81276i | −1.47062 | + | 0.535261i | ||||
\(163\) | −7.73607 | − | 13.3993i | −0.605936 | − | 1.04951i | −0.991903 | − | 0.126999i | \(-0.959466\pi\) |
0.385967 | − | 0.922512i | \(-0.373868\pi\) | |||||||
\(164\) | 1.76336 | − | 3.05422i | 0.137695 | − | 0.238495i | ||||
\(165\) | 1.47714 | − | 8.37728i | 0.114995 | − | 0.652170i | ||||
\(166\) | 4.71528 | − | 3.95659i | 0.365977 | − | 0.307091i | ||||
\(167\) | 1.24451 | + | 1.04427i | 0.0963034 | + | 0.0808082i | 0.689668 | − | 0.724126i | \(-0.257756\pi\) |
−0.593365 | + | 0.804934i | \(0.702201\pi\) | |||||||
\(168\) | 0.0566506 | + | 0.321282i | 0.00437069 | + | 0.0247874i | ||||
\(169\) | 11.7200 | + | 4.26572i | 0.901536 | + | 0.328132i | ||||
\(170\) | −39.8384 | −3.05546 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 15.0902 | 1.15061 | ||||||||
\(173\) | 15.6647 | + | 5.70147i | 1.19096 | + | 0.433475i | 0.860061 | − | 0.510191i | \(-0.170425\pi\) |
0.330901 | + | 0.943665i | \(0.392647\pi\) | |||||||
\(174\) | 2.67217 | + | 15.1546i | 0.202577 | + | 1.14887i | ||||
\(175\) | 0.989573 | + | 0.830351i | 0.0748047 | + | 0.0627686i | ||||
\(176\) | 4.88887 | − | 4.10225i | 0.368512 | − | 0.309219i | ||||
\(177\) | 2.90135 | − | 16.4544i | 0.218079 | − | 1.23679i | ||||
\(178\) | 7.07295 | − | 12.2507i | 0.530140 | − | 0.918229i | ||||
\(179\) | 4.33901 | + | 7.51539i | 0.324313 | + | 0.561726i | 0.981373 | − | 0.192112i | \(-0.0615336\pi\) |
−0.657060 | + | 0.753838i | \(0.728200\pi\) | |||||||
\(180\) | 3.04091 | − | 1.10680i | 0.226656 | − | 0.0824960i | ||||
\(181\) | 5.46181 | − | 1.98794i | 0.405973 | − | 0.147762i | −0.130958 | − | 0.991388i | \(-0.541805\pi\) |
0.536932 | + | 0.843626i | \(0.319583\pi\) | |||||||
\(182\) | −0.163119 | − | 0.282530i | −0.0120912 | − | 0.0209425i | ||||
\(183\) | 9.00854 | − | 15.6032i | 0.665930 | − | 1.15342i | ||||
\(184\) | −0.0481899 | + | 0.273298i | −0.00355261 | + | 0.0201478i | ||||
\(185\) | 16.3721 | − | 13.7378i | 1.20370 | − | 1.01003i | ||||
\(186\) | −5.27185 | − | 4.42361i | −0.386551 | − | 0.324355i | ||||
\(187\) | 1.55316 | + | 8.80839i | 0.113578 | + | 0.644133i | ||||
\(188\) | 17.4429 | + | 6.34868i | 1.27215 | + | 0.463025i | ||||
\(189\) | −1.06957 | −0.0777997 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −17.0000 | −1.23008 | −0.615038 | − | 0.788497i | \(-0.710860\pi\) | ||||
−0.615038 | + | 0.788497i | \(0.710860\pi\) | |||||||
\(192\) | 8.41545 | + | 3.06297i | 0.607333 | + | 0.221051i | ||||
\(193\) | 1.47714 | + | 8.37728i | 0.106327 | + | 0.603009i | 0.990682 | + | 0.136195i | \(0.0434873\pi\) |
−0.884355 | + | 0.466815i | \(0.845402\pi\) | |||||||
\(194\) | 6.44734 | + | 5.40996i | 0.462892 | + | 0.388413i | ||||
\(195\) | 3.42585 | − | 2.87463i | 0.245331 | − | 0.205857i | ||||
\(196\) | −1.95112 | + | 11.0654i | −0.139366 | + | 0.790383i | ||||
\(197\) | −5.73607 | + | 9.93516i | −0.408678 | + | 0.707851i | −0.994742 | − | 0.102414i | \(-0.967343\pi\) |
0.586064 | + | 0.810265i | \(0.300677\pi\) | |||||||
\(198\) | −0.812299 | − | 1.40694i | −0.0577276 | − | 0.0999871i | ||||
\(199\) | 0.992060 | − | 0.361080i | 0.0703253 | − | 0.0255963i | −0.306618 | − | 0.951833i | \(-0.599197\pi\) |
0.376943 | + | 0.926236i | \(0.376975\pi\) | |||||||
\(200\) | −3.73597 | + | 1.35978i | −0.264173 | + | 0.0961512i | ||||
\(201\) | −12.3992 | − | 21.4760i | −0.874571 | − | 1.51480i | ||||
\(202\) | 3.75123 | − | 6.49731i | 0.263935 | − | 0.457149i | ||||
\(203\) | −0.174353 | + | 0.988803i | −0.0122372 | + | 0.0694004i | ||||
\(204\) | −15.2590 | + | 12.8038i | −1.06834 | + | 0.896446i | ||||
\(205\) | 5.40324 | + | 4.53385i | 0.377378 | + | 0.316658i | ||||
\(206\) | −3.67793 | − | 20.8586i | −0.256253 | − | 1.45328i | ||||
\(207\) | 0.221831 | + | 0.0807400i | 0.0154183 | + | 0.00561182i | ||||
\(208\) | 3.35520 | 0.232641 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.76393 | 0.190729 | ||||||||
\(211\) | −0.583118 | − | 0.212238i | −0.0401435 | − | 0.0146110i | 0.321870 | − | 0.946784i | \(-0.395688\pi\) |
−0.362014 | + | 0.932173i | \(0.617911\pi\) | |||||||
\(212\) | −1.39917 | − | 7.93507i | −0.0960952 | − | 0.544983i | ||||
\(213\) | 14.7621 | + | 12.3868i | 1.01148 | + | 0.848733i | ||||
\(214\) | −8.71909 | + | 7.31619i | −0.596025 | + | 0.500124i | ||||
\(215\) | −5.24076 | + | 29.7218i | −0.357417 | + | 2.02701i | ||||
\(216\) | 1.64590 | − | 2.85078i | 0.111989 | − | 0.193971i | ||||
\(217\) | −0.224514 | − | 0.388870i | −0.0152410 | − | 0.0263982i | ||||
\(218\) | −5.50106 | + | 2.00222i | −0.372579 | + | 0.135608i | ||||
\(219\) | −16.0866 | + | 5.85505i | −1.08703 | + | 0.395648i | ||||
\(220\) | −3.61803 | − | 6.26662i | −0.243928 | − | 0.422495i | ||||
\(221\) | −2.35114 | + | 4.07230i | −0.158155 | + | 0.273932i | ||||
\(222\) | 4.14931 | − | 23.5319i | 0.278483 | − | 1.57936i | ||||
\(223\) | −12.4762 | + | 10.4687i | −0.835466 | + | 0.701039i | −0.956539 | − | 0.291605i | \(-0.905811\pi\) |
0.121073 | + | 0.992644i | \(0.461366\pi\) | |||||||
\(224\) | 1.32572 | + | 1.11241i | 0.0885781 | + | 0.0743259i | ||||
\(225\) | 0.587272 | + | 3.33059i | 0.0391515 | + | 0.222039i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 15.7314 | 1.04413 | 0.522066 | − | 0.852905i | \(-0.325161\pi\) | ||||
0.522066 | + | 0.852905i | \(0.325161\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.09017 | −0.468532 | −0.234266 | − | 0.972173i | \(-0.575269\pi\) | ||||
−0.234266 | + | 0.972173i | \(0.575269\pi\) | |||||||
\(230\) | 2.20935 | + | 0.804138i | 0.145680 | + | 0.0530233i | ||||
\(231\) | −0.107756 | − | 0.611114i | −0.00708982 | − | 0.0402083i | ||||
\(232\) | −2.36721 | − | 1.98632i | −0.155415 | − | 0.130408i | ||||
\(233\) | 3.46855 | − | 2.91045i | 0.227232 | − | 0.190670i | −0.522063 | − | 0.852907i | \(-0.674837\pi\) |
0.749294 | + | 0.662237i | \(0.230393\pi\) | |||||||
\(234\) | 0.148313 | − | 0.841126i | 0.00969554 | − | 0.0549861i | ||||
\(235\) | −18.5623 | + | 32.1509i | −1.21087 | + | 2.09729i | ||||
\(236\) | −7.10642 | − | 12.3087i | −0.462589 | − | 0.801227i | ||||
\(237\) | 8.40487 | − | 3.05912i | 0.545955 | − | 0.198711i | ||||
\(238\) | −2.73091 | + | 0.993969i | −0.177018 | + | 0.0644294i | ||||
\(239\) | 4.57295 | + | 7.92058i | 0.295799 | + | 0.512340i | 0.975171 | − | 0.221455i | \(-0.0710806\pi\) |
−0.679371 | + | 0.733795i | \(0.737747\pi\) | |||||||
\(240\) | −14.2128 | + | 24.6174i | −0.917435 | + | 1.58904i | ||||
\(241\) | −4.71353 | + | 26.7317i | −0.303625 | + | 1.72194i | 0.326282 | + | 0.945272i | \(0.394204\pi\) |
−0.629907 | + | 0.776670i | \(0.716907\pi\) | |||||||
\(242\) | 13.2453 | − | 11.1141i | 0.851441 | − | 0.714444i | ||||
\(243\) | −4.84667 | − | 4.06684i | −0.310914 | − | 0.260888i | ||||
\(244\) | −2.66137 | − | 15.0934i | −0.170377 | − | 0.966256i | ||||
\(245\) | −21.1169 | − | 7.68592i | −1.34911 | − | 0.491036i | ||||
\(246\) | 7.88597 | 0.502791 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 1.38197 | 0.0877549 | ||||||||
\(249\) | 5.78415 | + | 2.10526i | 0.366556 | + | 0.133415i | ||||
\(250\) | 0.504651 | + | 2.86202i | 0.0319169 | + | 0.181010i | ||||
\(251\) | −12.5757 | − | 10.5523i | −0.793771 | − | 0.666053i | 0.152905 | − | 0.988241i | \(-0.451137\pi\) |
−0.946676 | + | 0.322188i | \(0.895582\pi\) | |||||||
\(252\) | 0.180839 | − | 0.151742i | 0.0113918 | − | 0.00955882i | ||||
\(253\) | 0.0916626 | − | 0.519845i | 0.00576278 | − | 0.0326824i | ||||
\(254\) | 11.8713 | − | 20.5617i | 0.744873 | − | 1.29016i | ||||
\(255\) | −19.9192 | − | 34.5010i | −1.24739 | − | 2.16054i | ||||
\(256\) | −19.0480 | + | 6.93292i | −1.19050 | + | 0.433308i | ||||
\(257\) | 10.2029 | − | 3.71353i | 0.636436 | − | 0.231644i | −0.00359390 | − | 0.999994i | \(-0.501144\pi\) |
0.640030 | + | 0.768350i | \(0.278922\pi\) | |||||||
\(258\) | 16.8713 | + | 29.2220i | 1.05036 | + | 1.81928i | ||||
\(259\) | 0.779543 | − | 1.35021i | 0.0484385 | − | 0.0838979i | ||||
\(260\) | 0.660597 | − | 3.74643i | 0.0409685 | − | 0.232344i | ||||
\(261\) | −2.01367 | + | 1.68967i | −0.124643 | + | 0.104588i | ||||
\(262\) | −8.87401 | − | 7.44617i | −0.548238 | − | 0.460026i | ||||
\(263\) | −4.14820 | − | 23.5256i | −0.255789 | − | 1.45065i | −0.794039 | − | 0.607867i | \(-0.792025\pi\) |
0.538250 | − | 0.842785i | \(-0.319086\pi\) | |||||||
\(264\) | 1.79465 | + | 0.653200i | 0.110453 | + | 0.0402017i | ||||
\(265\) | 16.1150 | 0.989934 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 14.1459 | 0.865715 | ||||||||
\(268\) | −19.8226 | − | 7.21483i | −1.21086 | − | 0.440716i | ||||
\(269\) | 4.47961 | + | 25.4051i | 0.273127 | + | 1.54898i | 0.744850 | + | 0.667231i | \(0.232521\pi\) |
−0.471724 | + | 0.881746i | \(0.656368\pi\) | |||||||
\(270\) | −21.3639 | − | 17.9264i | −1.30016 | − | 1.09097i | ||||
\(271\) | −14.7621 | + | 12.3868i | −0.896732 | + | 0.752447i | −0.969549 | − | 0.244898i | \(-0.921246\pi\) |
0.0728171 | + | 0.997345i | \(0.476801\pi\) | |||||||
\(272\) | 5.19009 | − | 29.4345i | 0.314696 | − | 1.78473i | ||||
\(273\) | 0.163119 | − | 0.282530i | 0.00987241 | − | 0.0170995i | ||||
\(274\) | 8.28199 | + | 14.3448i | 0.500334 | + | 0.866603i | ||||
\(275\) | 7.10624 | − | 2.58646i | 0.428523 | − | 0.155969i | ||||
\(276\) | 1.10467 | − | 0.402069i | 0.0664936 | − | 0.0242017i | ||||
\(277\) | 7.38197 | + | 12.7859i | 0.443539 | + | 0.768233i | 0.997949 | − | 0.0640111i | \(-0.0203893\pi\) |
−0.554410 | + | 0.832244i | \(0.687056\pi\) | |||||||
\(278\) | −11.4984 | + | 19.9159i | −0.689630 | + | 1.19447i | ||||
\(279\) | 0.204136 | − | 1.15771i | 0.0122213 | − | 0.0693103i | ||||
\(280\) | −0.425177 | + | 0.356766i | −0.0254092 | + | 0.0213208i | ||||
\(281\) | −12.0008 | − | 10.0699i | −0.715908 | − | 0.600718i | 0.210342 | − | 0.977628i | \(-0.432542\pi\) |
−0.926250 | + | 0.376910i | \(0.876987\pi\) | |||||||
\(282\) | 7.20754 | + | 40.8760i | 0.429203 | + | 2.43413i | ||||
\(283\) | 11.3610 | + | 4.13508i | 0.675344 | + | 0.245805i | 0.656847 | − | 0.754024i | \(-0.271890\pi\) |
0.0184969 | + | 0.999829i | \(0.494112\pi\) | |||||||
\(284\) | 16.3925 | 0.972714 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.90983 | −0.112931 | ||||||||
\(287\) | 0.483510 | + | 0.175983i | 0.0285407 | + | 0.0103880i | ||||
\(288\) | 0.786760 | + | 4.46194i | 0.0463603 | + | 0.262922i | ||||
\(289\) | 19.0657 | + | 15.9980i | 1.12151 | + | 0.941062i | ||||
\(290\) | −20.0553 | + | 16.8284i | −1.17769 | + | 0.988198i | ||||
\(291\) | −1.46149 | + | 8.28854i | −0.0856743 | + | 0.485883i | ||||
\(292\) | −7.28115 | + | 12.6113i | −0.426097 | + | 0.738022i | ||||
\(293\) | 7.64121 | + | 13.2350i | 0.446404 | + | 0.773195i | 0.998149 | − | 0.0608184i | \(-0.0193710\pi\) |
−0.551745 | + | 0.834013i | \(0.686038\pi\) | |||||||
\(294\) | −23.6094 | + | 8.59312i | −1.37693 | + | 0.501161i | ||||
\(295\) | 26.7114 | − | 9.72216i | 1.55520 | − | 0.566046i | ||||
\(296\) | 2.39919 | + | 4.15551i | 0.139450 | + | 0.241534i | ||||
\(297\) | −3.13068 | + | 5.42250i | −0.181661 | + | 0.314646i | ||||
\(298\) | −1.99317 | + | 11.3038i | −0.115461 | + | 0.654812i | ||||
\(299\) | 0.212588 | − | 0.178383i | 0.0122943 | − | 0.0103162i | ||||
\(300\) | 12.9013 | + | 10.8255i | 0.744859 | + | 0.625011i | ||||
\(301\) | 0.382308 | + | 2.16818i | 0.0220359 | + | 0.124972i | ||||
\(302\) | −30.9051 | − | 11.2485i | −1.77839 | − | 0.647281i | ||||
\(303\) | 7.50245 | 0.431005 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 30.6525 | 1.75516 | ||||||||
\(306\) | −7.14961 | − | 2.60224i | −0.408716 | − | 0.148760i | ||||
\(307\) | −4.79853 | − | 27.2138i | −0.273867 | − | 1.55317i | −0.742539 | − | 0.669803i | \(-0.766379\pi\) |
0.468672 | − | 0.883372i | \(-0.344732\pi\) | |||||||
\(308\) | −0.404367 | − | 0.339304i | −0.0230410 | − | 0.0193337i | ||||
\(309\) | 16.2251 | − | 13.6145i | 0.923013 | − | 0.774500i | ||||
\(310\) | 2.03311 | − | 11.5303i | 0.115473 | − | 0.654879i | ||||
\(311\) | 7.23607 | − | 12.5332i | 0.410320 | − | 0.710695i | −0.584605 | − | 0.811318i | \(-0.698750\pi\) |
0.994925 | + | 0.100624i | \(0.0320838\pi\) | |||||||
\(312\) | 0.502029 | + | 0.869539i | 0.0284218 | + | 0.0492279i | ||||
\(313\) | −5.05739 | + | 1.84074i | −0.285861 | + | 0.104045i | −0.480971 | − | 0.876737i | \(-0.659716\pi\) |
0.195110 | + | 0.980781i | \(0.437494\pi\) | |||||||
\(314\) | −8.15467 | + | 2.96806i | −0.460195 | + | 0.167497i | ||||
\(315\) | 0.236068 | + | 0.408882i | 0.0133009 | + | 0.0230379i | ||||
\(316\) | 3.80423 | − | 6.58911i | 0.214004 | − | 0.370667i | ||||
\(317\) | 5.44072 | − | 30.8559i | 0.305581 | − | 1.73304i | −0.315174 | − | 0.949034i | \(-0.602063\pi\) |
0.620756 | − | 0.784004i | \(-0.286826\pi\) | |||||||
\(318\) | 13.8019 | − | 11.5812i | 0.773971 | − | 0.649439i | ||||
\(319\) | 4.50270 | + | 3.77821i | 0.252103 | + | 0.211539i | ||||
\(320\) | 2.64572 | + | 15.0046i | 0.147900 | + | 0.838783i | ||||
\(321\) | −10.6955 | − | 3.89286i | −0.596967 | − | 0.217278i | ||||
\(322\) | 0.171513 | 0.00955807 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −16.9443 | −0.941348 | ||||||||
\(325\) | 3.73597 | + | 1.35978i | 0.207234 | + | 0.0754272i | ||||
\(326\) | −5.11042 | − | 28.9826i | −0.283040 | − | 1.60520i | ||||
\(327\) | −4.48450 | − | 3.76294i | −0.247994 | − | 0.208091i | ||||
\(328\) | −1.21310 | + | 1.01791i | −0.0669824 | + | 0.0562049i | ||||
\(329\) | −0.470275 | + | 2.66706i | −0.0259271 | + | 0.147040i | ||||
\(330\) | 8.09017 | − | 14.0126i | 0.445349 | − | 0.771367i | ||||
\(331\) | −10.1311 | − | 17.5476i | −0.556856 | − | 0.964503i | −0.997757 | − | 0.0669469i | \(-0.978674\pi\) |
0.440901 | − | 0.897556i | \(-0.354659\pi\) | |||||||
\(332\) | 4.92029 | − | 1.79084i | 0.270036 | − | 0.0982852i | ||||
\(333\) | 3.83558 | − | 1.39604i | 0.210189 | − | 0.0765024i | ||||
\(334\) | 1.54508 | + | 2.67617i | 0.0845433 | + | 0.146433i | ||||
\(335\) | 21.0948 | − | 36.5372i | 1.15253 | − | 1.99624i | ||||
\(336\) | −0.360081 | + | 2.04212i | −0.0196441 | + | 0.111407i | ||||
\(337\) | −0.425177 | + | 0.356766i | −0.0231609 | + | 0.0194343i | −0.654295 | − | 0.756240i | \(-0.727034\pi\) |
0.631134 | + | 0.775674i | \(0.282590\pi\) | |||||||
\(338\) | 18.1732 | + | 15.2491i | 0.988491 | + | 0.829443i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −31.8448 | − | 11.5906i | −1.72703 | − | 0.628587i | ||||
\(341\) | −2.62866 | −0.142350 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.29180 | −0.177740 | ||||||||
\(344\) | −6.36727 | − | 2.31750i | −0.343300 | − | 0.124951i | ||||
\(345\) | 0.408271 | + | 2.31542i | 0.0219806 | + | 0.124658i | ||||
\(346\) | 24.2899 | + | 20.3816i | 1.30583 | + | 1.09572i | ||||
\(347\) | 22.0872 | − | 18.5334i | 1.18570 | − | 0.994924i | 0.185780 | − | 0.982591i | \(-0.440519\pi\) |
0.999924 | − | 0.0123324i | \(-0.00392564\pi\) | |||||||
\(348\) | −2.27308 | + | 12.8913i | −0.121850 | + | 0.691046i | ||||
\(349\) | −6.80902 | + | 11.7936i | −0.364478 | + | 0.631295i | −0.988692 | − | 0.149958i | \(-0.952086\pi\) |
0.624214 | + | 0.781253i | \(0.285419\pi\) | |||||||
\(350\) | 1.22857 | + | 2.12795i | 0.0656699 | + | 0.113744i | ||||
\(351\) | −3.09328 | + | 1.12586i | −0.165107 | + | 0.0600940i | ||||
\(352\) | 9.52013 | − | 3.46504i | 0.507424 | − | 0.184687i | ||||
\(353\) | −12.6910 | − | 21.9814i | −0.675473 | − | 1.16995i | −0.976330 | − | 0.216284i | \(-0.930606\pi\) |
0.300858 | − | 0.953669i | \(-0.402727\pi\) | |||||||
\(354\) | 15.8904 | − | 27.5231i | 0.844568 | − | 1.46283i | ||||
\(355\) | −5.69305 | + | 32.2869i | −0.302156 | + | 1.71361i | ||||
\(356\) | 9.21798 | − | 7.73480i | 0.488552 | − | 0.409944i | ||||
\(357\) | −2.22626 | − | 1.86805i | −0.117826 | − | 0.0988677i | ||||
\(358\) | 2.86634 | + | 16.2558i | 0.151491 | + | 0.859146i | ||||
\(359\) | 33.2482 | + | 12.1013i | 1.75477 | + | 0.638685i | 0.999853 | − | 0.0171344i | \(-0.00545430\pi\) |
0.754918 | + | 0.655819i | \(0.227677\pi\) | |||||||
\(360\) | −1.45309 | −0.0765843 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 11.0557 | 0.581076 | ||||||||
\(363\) | 16.2478 | + | 5.91371i | 0.852788 | + | 0.310389i | ||||
\(364\) | −0.0481899 | − | 0.273298i | −0.00252584 | − | 0.0143247i | ||||
\(365\) | −22.3107 | − | 18.7209i | −1.16780 | − | 0.979899i | ||||
\(366\) | 26.2527 | − | 22.0287i | 1.37225 | − | 1.15146i | ||||
\(367\) | 2.17544 | − | 12.3375i | 0.113557 | − | 0.644014i | −0.873897 | − | 0.486110i | \(-0.838415\pi\) |
0.987454 | − | 0.157904i | \(-0.0504736\pi\) | |||||||
\(368\) | −0.881966 | + | 1.52761i | −0.0459757 | + | 0.0796322i | ||||
\(369\) | 0.673542 | + | 1.16661i | 0.0350632 | + | 0.0607312i | ||||
\(370\) | 38.2008 | − | 13.9040i | 1.98597 | − | 0.722833i | ||||
\(371\) | 1.10467 | − | 0.402069i | 0.0573519 | − | 0.0208744i | ||||
\(372\) | −2.92705 | − | 5.06980i | −0.151761 | − | 0.262857i | ||||
\(373\) | 18.3803 | − | 31.8357i | 0.951698 | − | 1.64839i | 0.209949 | − | 0.977712i | \(-0.432670\pi\) |
0.741749 | − | 0.670677i | \(-0.233996\pi\) | |||||||
\(374\) | −2.95428 | + | 16.7546i | −0.152762 | + | 0.866357i | ||||
\(375\) | −2.22626 | + | 1.86805i | −0.114963 | + | 0.0964657i | ||||
\(376\) | −6.38498 | − | 5.35763i | −0.329280 | − | 0.276299i | ||||
\(377\) | 0.536602 | + | 3.04322i | 0.0276364 | + | 0.156734i | ||||
\(378\) | −1.91175 | − | 0.695820i | −0.0983298 | − | 0.0357891i | ||||
\(379\) | −21.3723 | −1.09782 | −0.548910 | − | 0.835882i | \(-0.684957\pi\) | ||||
−0.548910 | + | 0.835882i | \(0.684957\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 23.7426 | 1.21637 | ||||||||
\(382\) | −30.3858 | − | 11.0595i | −1.55467 | − | 0.565855i | ||||
\(383\) | −1.96338 | − | 11.1349i | −0.100324 | − | 0.568967i | −0.992985 | − | 0.118238i | \(-0.962275\pi\) |
0.892661 | − | 0.450729i | \(-0.148836\pi\) | |||||||
\(384\) | −8.31472 | − | 6.97688i | −0.424309 | − | 0.356038i | ||||
\(385\) | 0.808735 | − | 0.678609i | 0.0412169 | − | 0.0345851i | ||||
\(386\) | −2.80969 | + | 15.9345i | −0.143009 | + | 0.811046i | ||||
\(387\) | −2.88197 | + | 4.99171i | −0.146499 | + | 0.253743i | ||||
\(388\) | 3.57971 | + | 6.20024i | 0.181732 | + | 0.314770i | ||||
\(389\) | −1.79465 | + | 0.653200i | −0.0909925 | + | 0.0331186i | −0.387115 | − | 0.922031i | \(-0.626528\pi\) |
0.296123 | + | 0.955150i | \(0.404306\pi\) | |||||||
\(390\) | 7.99350 | − | 2.90940i | 0.404767 | − | 0.147323i | ||||
\(391\) | −1.23607 | − | 2.14093i | −0.0625106 | − | 0.108272i | ||||
\(392\) | 2.52265 | − | 4.36937i | 0.127413 | − | 0.220686i | ||||
\(393\) | 2.01157 | − | 11.4082i | 0.101470 | − | 0.575468i | ||||
\(394\) | −16.7161 | + | 14.0265i | −0.842144 | + | 0.706643i | ||||
\(395\) | 11.6568 | + | 9.78124i | 0.586519 | + | 0.492147i | ||||
\(396\) | −0.239976 | − | 1.36097i | −0.0120592 | − | 0.0683914i | ||||
\(397\) | −1.21389 | − | 0.441820i | −0.0609235 | − | 0.0221743i | 0.311379 | − | 0.950286i | \(-0.399209\pi\) |
−0.372302 | + | 0.928112i | \(0.621431\pi\) | |||||||
\(398\) | 2.00811 | 0.100658 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −25.2705 | −1.26353 | ||||||||
\(401\) | −4.41870 | − | 1.60828i | −0.220659 | − | 0.0803134i | 0.229325 | − | 0.973350i | \(-0.426348\pi\) |
−0.449984 | + | 0.893037i | \(0.648570\pi\) | |||||||
\(402\) | −8.19086 | − | 46.4527i | −0.408523 | − | 2.31685i | ||||
\(403\) | −1.05865 | − | 0.888311i | −0.0527350 | − | 0.0442499i | ||||
\(404\) | 4.88887 | − | 4.10225i | 0.243230 | − | 0.204094i | ||||
\(405\) | 5.88468 | − | 33.3737i | 0.292412 | − | 1.65835i | ||||
\(406\) | −0.954915 | + | 1.65396i | −0.0473916 | + | 0.0820847i | ||||
\(407\) | −4.56352 | − | 7.90426i | −0.226206 | − | 0.391799i | ||||
\(408\) | 8.40487 | − | 3.05912i | 0.416103 | − | 0.151449i | ||||
\(409\) | 22.6151 | − | 8.23121i | 1.11824 | − | 0.407007i | 0.284232 | − | 0.958756i | \(-0.408261\pi\) |
0.834011 | + | 0.551749i | \(0.186039\pi\) | |||||||
\(410\) | 6.70820 | + | 11.6190i | 0.331295 | + | 0.573819i | ||||
\(411\) | −8.28199 | + | 14.3448i | −0.408521 | + | 0.707579i | ||||
\(412\) | 3.12863 | − | 17.7434i | 0.154137 | − | 0.874152i | ||||
\(413\) | 1.58849 | − | 1.33290i | 0.0781645 | − | 0.0655878i | ||||
\(414\) | 0.343975 | + | 0.288630i | 0.0169055 | + | 0.0141854i | ||||
\(415\) | 1.81847 | + | 10.3130i | 0.0892651 | + | 0.506247i | ||||
\(416\) | 5.00503 | + | 1.82168i | 0.245392 | + | 0.0893152i | ||||
\(417\) | −22.9969 | −1.12616 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.58359 | −0.321630 | −0.160815 | − | 0.986985i | \(-0.551412\pi\) | ||||
−0.160815 | + | 0.986985i | \(0.551412\pi\) | |||||||
\(420\) | 2.20935 | + | 0.804138i | 0.107805 | + | 0.0392379i | ||||
\(421\) | 5.62645 | + | 31.9092i | 0.274216 | + | 1.55516i | 0.741440 | + | 0.671019i | \(0.234143\pi\) |
−0.467224 | + | 0.884139i | \(0.654746\pi\) | |||||||
\(422\) | −0.904193 | − | 0.758708i | −0.0440154 | − | 0.0369333i | ||||
\(423\) | −5.43139 | + | 4.55747i | −0.264083 | + | 0.221592i | ||||
\(424\) | −0.628265 | + | 3.56307i | −0.0305112 | + | 0.173038i | ||||
\(425\) | 17.7082 | − | 30.6715i | 0.858974 | − | 1.48779i | ||||
\(426\) | 18.3273 | + | 31.7439i | 0.887963 | + | 1.53800i | ||||
\(427\) | 2.10122 | − | 0.764780i | 0.101685 | − | 0.0370103i | ||||
\(428\) | −9.09818 | + | 3.31147i | −0.439777 | + | 0.160066i | ||||
\(429\) | −0.954915 | − | 1.65396i | −0.0461037 | − | 0.0798540i | ||||
\(430\) | −28.7032 | + | 49.7154i | −1.38419 | + | 2.39749i | ||||
\(431\) | 2.16752 | − | 12.2926i | 0.104406 | − | 0.592114i | −0.887050 | − | 0.461673i | \(-0.847249\pi\) |
0.991456 | − | 0.130442i | \(-0.0416395\pi\) | |||||||
\(432\) | 16.0281 | − | 13.4492i | 0.771154 | − | 0.647075i | ||||
\(433\) | 14.4898 | + | 12.1584i | 0.696337 | + | 0.584296i | 0.920729 | − | 0.390203i | \(-0.127595\pi\) |
−0.224392 | + | 0.974499i | \(0.572040\pi\) | |||||||
\(434\) | −0.148313 | − | 0.841126i | −0.00711926 | − | 0.0403754i | ||||
\(435\) | −24.6015 | − | 8.95420i | −1.17955 | − | 0.429321i | ||||
\(436\) | −4.97980 | −0.238489 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −32.5623 | −1.55589 | ||||||||
\(439\) | 5.62298 | + | 2.04660i | 0.268370 | + | 0.0976788i | 0.472700 | − | 0.881223i | \(-0.343279\pi\) |
−0.204330 | + | 0.978902i | \(0.565502\pi\) | |||||||
\(440\) | 0.564217 | + | 3.19983i | 0.0268980 | + | 0.152546i | ||||
\(441\) | −3.28771 | − | 2.75871i | −0.156557 | − | 0.131367i | ||||
\(442\) | −6.85171 | + | 5.74927i | −0.325903 | + | 0.273465i | ||||
\(443\) | 2.63604 | − | 14.9497i | 0.125242 | − | 0.710282i | −0.855922 | − | 0.517105i | \(-0.827010\pi\) |
0.981164 | − | 0.193177i | \(-0.0618793\pi\) | |||||||
\(444\) | 10.1631 | − | 17.6030i | 0.482320 | − | 0.835403i | ||||
\(445\) | 12.0332 | + | 20.8421i | 0.570429 | + | 0.988013i | ||||
\(446\) | −29.1105 | + | 10.5953i | −1.37842 | + | 0.501704i | ||||
\(447\) | −10.7860 | + | 3.92577i | −0.510159 | + | 0.185683i | ||||
\(448\) | 0.555728 | + | 0.962549i | 0.0262557 | + | 0.0454762i | ||||
\(449\) | −12.1190 | + | 20.9907i | −0.571930 | + | 0.990612i | 0.424438 | + | 0.905457i | \(0.360472\pi\) |
−0.996368 | + | 0.0851545i | \(0.972862\pi\) | |||||||
\(450\) | −1.11706 | + | 6.33515i | −0.0526586 | + | 0.298642i | ||||
\(451\) | 2.30746 | − | 1.93619i | 0.108654 | − | 0.0911715i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −5.71104 | − | 32.3889i | −0.268328 | − | 1.52176i | ||||
\(454\) | 28.1184 | + | 10.2343i | 1.31966 | + | 0.480318i | ||||
\(455\) | 0.555029 | 0.0260202 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.29180 | 0.294318 | 0.147159 | − | 0.989113i | \(-0.452987\pi\) | ||||
0.147159 | + | 0.989113i | \(0.452987\pi\) | |||||||
\(458\) | −12.6730 | − | 4.61259i | −0.592170 | − | 0.215532i | ||||
\(459\) | 5.09202 | + | 28.8783i | 0.237675 | + | 1.34792i | ||||
\(460\) | 1.53209 | + | 1.28558i | 0.0714340 | + | 0.0599403i | ||||
\(461\) | −9.05438 | + | 7.59753i | −0.421705 | + | 0.353852i | −0.828811 | − | 0.559528i | \(-0.810982\pi\) |
0.407106 | + | 0.913381i | \(0.366538\pi\) | |||||||
\(462\) | 0.204964 | − | 1.16241i | 0.00953578 | − | 0.0540801i | ||||
\(463\) | −5.07295 | + | 8.78661i | −0.235760 | + | 0.408348i | −0.959493 | − | 0.281732i | \(-0.909091\pi\) |
0.723733 | + | 0.690080i | \(0.242425\pi\) | |||||||
\(464\) | −9.82084 | − | 17.0102i | −0.455921 | − | 0.789678i | ||||
\(465\) | 11.0021 | − | 4.00444i | 0.510211 | − | 0.185702i | ||||
\(466\) | 8.09311 | − | 2.94565i | 0.374906 | − | 0.136455i | ||||
\(467\) | −2.11803 | − | 3.66854i | −0.0980109 | − | 0.169760i | 0.812850 | − | 0.582473i | \(-0.197915\pi\) |
−0.910861 | + | 0.412713i | \(0.864581\pi\) | |||||||
\(468\) | 0.363271 | − | 0.629204i | 0.0167922 | − | 0.0290850i | ||||
\(469\) | 0.534434 | − | 3.03093i | 0.0246779 | − | 0.139955i | ||||
\(470\) | −54.0944 | + | 45.3906i | −2.49519 | + | 2.09371i | ||||
\(471\) | −6.64775 | − | 5.57812i | −0.306312 | − | 0.257026i | ||||
\(472\) | 1.10822 | + | 6.28501i | 0.0510098 | + | 0.289291i | ||||
\(473\) | 12.1113 | + | 4.40814i | 0.556877 | + | 0.202687i | ||||
\(474\) | 17.0130 | 0.781434 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −2.47214 | −0.113310 | ||||||||
\(477\) | 2.89208 | + | 1.05263i | 0.132419 | + | 0.0481966i | ||||
\(478\) | 3.02088 | + | 17.1322i | 0.138172 | + | 0.783610i | ||||
\(479\) | −12.1876 | − | 10.2266i | −0.556867 | − | 0.467267i | 0.320391 | − | 0.947285i | \(-0.396186\pi\) |
−0.877259 | + | 0.480018i | \(0.840630\pi\) | |||||||
\(480\) | −34.5675 | + | 29.0055i | −1.57778 | + | 1.32392i | ||||
\(481\) | 0.833229 | − | 4.72548i | 0.0379920 | − | 0.215463i | ||||
\(482\) | −25.8156 | + | 44.7139i | −1.17587 | + | 2.03666i | ||||
\(483\) | 0.0857567 | + | 0.148535i | 0.00390207 | + | 0.00675858i | ||||
\(484\) | 13.8212 | − | 5.03050i | 0.628236 | − | 0.228659i | ||||
\(485\) | −13.4553 | + | 4.89733i | −0.610974 | + | 0.222377i | ||||
\(486\) | −6.01722 | − | 10.4221i | −0.272947 | − | 0.472758i | ||||
\(487\) | −8.33499 | + | 14.4366i | −0.377695 | + | 0.654186i | −0.990726 | − | 0.135872i | \(-0.956616\pi\) |
0.613032 | + | 0.790058i | \(0.289950\pi\) | |||||||
\(488\) | −1.19503 | + | 6.77736i | −0.0540965 | + | 0.306797i | ||||
\(489\) | 22.5445 | − | 18.9171i | 1.01950 | − | 0.855460i | ||||
\(490\) | −32.7442 | − | 27.4757i | −1.47923 | − | 1.24122i | ||||
\(491\) | 2.99899 | + | 17.0081i | 0.135343 | + | 0.767566i | 0.974621 | + | 0.223864i | \(0.0718670\pi\) |
−0.839278 | + | 0.543703i | \(0.817022\pi\) | |||||||
\(492\) | 6.30365 | + | 2.29434i | 0.284190 | + | 0.103437i | ||||
\(493\) | 27.5276 | 1.23978 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.76393 | 0.124230 | ||||||||
\(496\) | 8.25428 | + | 3.00431i | 0.370628 | + | 0.134898i | ||||
\(497\) | 0.415302 | + | 2.35530i | 0.0186288 | + | 0.105649i | ||||
\(498\) | 8.96900 | + | 7.52589i | 0.401911 | + | 0.337243i | ||||
\(499\) | 23.3430 | − | 19.5871i | 1.04498 | − | 0.876840i | 0.0524202 | − | 0.998625i | \(-0.483306\pi\) |
0.992556 | + | 0.121786i | \(0.0388620\pi\) | |||||||
\(500\) | −0.429282 | + | 2.43458i | −0.0191981 | + | 0.108878i | ||||
\(501\) | −1.54508 | + | 2.67617i | −0.0690293 | + | 0.119562i | ||||
\(502\) | −15.6129 | − | 27.0424i | −0.696839 | − | 1.20696i | ||||
\(503\) | −19.3546 | + | 7.04450i | −0.862979 | + | 0.314099i | −0.735321 | − | 0.677719i | \(-0.762968\pi\) |
−0.127659 | + | 0.991818i | \(0.540746\pi\) | |||||||
\(504\) | −0.0996085 | + | 0.0362545i | −0.00443691 | + | 0.00161490i | ||||
\(505\) | 6.38197 | + | 11.0539i | 0.283994 | + | 0.491892i | ||||
\(506\) | 0.502029 | − | 0.869539i | 0.0223179 | − | 0.0386557i | ||||
\(507\) | −4.11953 | + | 23.3630i | −0.182955 | + | 1.03759i | ||||
\(508\) | 15.4716 | − | 12.9822i | 0.686440 | − | 0.575991i | ||||
\(509\) | −13.9333 | − | 11.6914i | −0.617581 | − | 0.518212i | 0.279461 | − | 0.960157i | \(-0.409844\pi\) |
−0.897042 | + | 0.441945i | \(0.854289\pi\) | |||||||
\(510\) | −13.1586 | − | 74.6259i | −0.582671 | − | 3.30449i | ||||
\(511\) | −1.99648 | − | 0.726660i | −0.0883192 | − | 0.0321455i | ||||
\(512\) | −27.1441 | −1.19961 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 20.6525 | 0.910942 | ||||||||
\(515\) | 33.8610 | + | 12.3244i | 1.49209 | + | 0.543078i | ||||
\(516\) | 4.98426 | + | 28.2671i | 0.219420 | + | 1.24439i | ||||
\(517\) | 12.1449 | + | 10.1908i | 0.534134 | + | 0.448192i | ||||
\(518\) | 2.27175 | − | 1.90622i | 0.0998149 | − | 0.0837547i | ||||
\(519\) | −5.50607 | + | 31.2265i | −0.241690 | + | 1.37069i | ||||
\(520\) | −0.854102 | + | 1.47935i | −0.0374548 | + | 0.0648737i | ||||
\(521\) | −10.9106 | − | 18.8978i | −0.478004 | − | 0.827928i | 0.521678 | − | 0.853143i | \(-0.325306\pi\) |
−0.999682 | + | 0.0252149i | \(0.991973\pi\) | |||||||
\(522\) | −4.69846 | + | 1.71010i | −0.205646 | + | 0.0748491i | ||||
\(523\) | −32.3344 | + | 11.7688i | −1.41388 | + | 0.514612i | −0.932267 | − | 0.361770i | \(-0.882173\pi\) |
−0.481617 | + | 0.876382i | \(0.659950\pi\) | |||||||
\(524\) | −4.92705 | − | 8.53390i | −0.215239 | − | 0.372805i | ||||
\(525\) | −1.22857 | + | 2.12795i | −0.0536192 | + | 0.0928712i | ||||
\(526\) | 7.89035 | − | 44.7484i | 0.344036 | − | 1.95112i | ||||
\(527\) | −9.43057 | + | 7.91319i | −0.410802 | + | 0.344704i | ||||
\(528\) | 9.29918 | + | 7.80294i | 0.404695 | + | 0.339579i | ||||
\(529\) | −3.96857 | − | 22.5069i | −0.172547 | − | 0.978561i | ||||
\(530\) | 28.8039 | + | 10.4838i | 1.25116 | + | 0.455386i | ||||
\(531\) | 5.42882 | 0.235591 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.58359 | 0.0685930 | ||||||||
\(534\) | 25.2844 | + | 9.20277i | 1.09416 | + | 0.398243i | ||||
\(535\) | −3.36255 | − | 19.0700i | −0.145376 | − | 0.824467i | ||||
\(536\) | 7.25608 | + | 6.08857i | 0.313415 | + | 0.262986i | ||||
\(537\) | −12.6448 | + | 10.6102i | −0.545662 | + | 0.457865i | ||||
\(538\) | −8.52072 | + | 48.3234i | −0.367354 | + | 2.08337i | ||||
\(539\) | −4.79837 | + | 8.31103i | −0.206681 | + | 0.357981i | ||||
\(540\) | −11.8617 | − | 20.5451i | −0.510447 | − | 0.884119i | ||||
\(541\) | −6.30365 | + | 2.29434i | −0.271015 | + | 0.0986414i | −0.473953 | − | 0.880550i | \(-0.657173\pi\) |
0.202938 | + | 0.979192i | \(0.434951\pi\) | |||||||
\(542\) | −34.4441 | + | 12.5366i | −1.47950 | + | 0.538495i | ||||
\(543\) | 5.52786 | + | 9.57454i | 0.237223 | + | 0.410883i | ||||
\(544\) | 23.7234 | − | 41.0902i | 1.01713 | − | 1.76173i | ||||
\(545\) | 1.72947 | − | 9.80828i | 0.0740821 | − | 0.420141i | ||||
\(546\) | 0.475362 | − | 0.398876i | 0.0203436 | − | 0.0170703i | ||||
\(547\) | −15.8657 | − | 13.3129i | −0.678370 | − | 0.569220i | 0.237160 | − | 0.971471i | \(-0.423784\pi\) |
−0.915529 | + | 0.402251i | \(0.868228\pi\) | |||||||
\(548\) | 2.44673 | + | 13.8761i | 0.104519 | + | 0.592758i | ||||
\(549\) | 5.50106 | + | 2.00222i | 0.234779 | + | 0.0854527i | ||||
\(550\) | 14.3844 | 0.613351 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −0.527864 | −0.0224674 | ||||||||
\(553\) | 1.04311 | + | 0.379662i | 0.0443577 | + | 0.0161449i | ||||
\(554\) | 4.87650 | + | 27.6560i | 0.207183 | + | 1.17499i | ||||
\(555\) | 31.1416 | + | 26.1309i | 1.32189 | + | 1.10920i | ||||
\(556\) | −14.9856 | + | 12.5744i | −0.635531 | + | 0.533274i | ||||
\(557\) | −6.83491 | + | 38.7627i | −0.289604 | + | 1.64243i | 0.398754 | + | 0.917058i | \(0.369443\pi\) |
−0.688359 | + | 0.725371i | \(0.741668\pi\) | |||||||
\(558\) | 1.11803 | − | 1.93649i | 0.0473302 | − | 0.0819782i | ||||
\(559\) | 3.38795 | + | 5.86811i | 0.143295 | + | 0.248195i | ||||
\(560\) | −3.31511 | + | 1.20660i | −0.140089 | + | 0.0509882i | ||||
\(561\) | −15.9870 | + | 5.81879i | −0.674972 | + | 0.245670i | ||||
\(562\) | −14.8992 | − | 25.8061i | −0.628484 | − | 1.08857i | ||||
\(563\) | −10.8576 | + | 18.8060i | −0.457595 | + | 0.792578i | −0.998833 | − | 0.0482911i | \(-0.984622\pi\) |
0.541238 | + | 0.840869i | \(0.317956\pi\) | |||||||
\(564\) | −6.13110 | + | 34.7712i | −0.258166 | + | 1.46413i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 17.6166 | + | 14.7821i | 0.740482 | + | 0.621338i | ||||
\(567\) | −0.429282 | − | 2.43458i | −0.0180281 | − | 0.102243i | ||||
\(568\) | −6.91678 | − | 2.51750i | −0.290221 | − | 0.105632i | ||||
\(569\) | 25.4540 | 1.06709 | 0.533544 | − | 0.845772i | \(-0.320860\pi\) | ||||
0.533544 | + | 0.845772i | \(0.320860\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −46.1033 | −1.92936 | −0.964682 | − | 0.263417i | \(-0.915150\pi\) | ||||
−0.964682 | + | 0.263417i | \(0.915150\pi\) | |||||||
\(572\) | −1.52662 | − | 0.555645i | −0.0638313 | − | 0.0232327i | ||||
\(573\) | −5.61507 | − | 31.8447i | −0.234573 | − | 1.33033i | ||||
\(574\) | 0.749738 | + | 0.629105i | 0.0312935 | + | 0.0262583i | ||||
\(575\) | −1.60116 | + | 1.34354i | −0.0667731 | + | 0.0560293i | ||||
\(576\) | −0.505287 | + | 2.86562i | −0.0210536 | + | 0.119401i | ||||
\(577\) | 7.64590 | − | 13.2431i | 0.318303 | − | 0.551317i | −0.661831 | − | 0.749653i | \(-0.730220\pi\) |
0.980134 | + | 0.198336i | \(0.0635538\pi\) | |||||||
\(578\) | 23.6704 | + | 40.9984i | 0.984559 | + | 1.70531i | ||||
\(579\) | −15.2045 | + | 5.53400i | −0.631879 | + | 0.229985i | ||||
\(580\) | −20.9273 | + | 7.61690i | −0.868957 | + | 0.316275i | ||||
\(581\) | 0.381966 | + | 0.661585i | 0.0158466 | + | 0.0274472i | ||||
\(582\) | −8.00448 | + | 13.8642i | −0.331796 | + | 0.574688i | ||||
\(583\) | 1.19503 | − | 6.77736i | 0.0494931 | − | 0.280689i | ||||
\(584\) | 5.00907 | − | 4.20311i | 0.207277 | − | 0.173926i | ||||
\(585\) | 1.11313 | + | 0.934025i | 0.0460222 | + | 0.0386172i | ||||
\(586\) | 5.04776 | + | 28.6273i | 0.208521 | + | 1.18258i | ||||
\(587\) | −15.8053 | − | 5.75266i | −0.652355 | − | 0.237438i | −0.00542275 | − | 0.999985i | \(-0.501726\pi\) |
−0.646932 | + | 0.762548i | \(0.723948\pi\) | |||||||
\(588\) | −21.3723 | −0.881378 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 54.0689 | 2.22598 | ||||||||
\(591\) | −20.5053 | − | 7.46332i | −0.843476 | − | 0.307000i | ||||
\(592\) | 5.29615 | + | 30.0360i | 0.217670 | + | 1.23447i | ||||
\(593\) | 13.2463 | + | 11.1150i | 0.543960 | + | 0.456436i | 0.872889 | − | 0.487918i | \(-0.162243\pi\) |
−0.328930 | + | 0.944354i | \(0.606688\pi\) | |||||||
\(594\) | −9.12346 | + | 7.65549i | −0.374340 | + | 0.314109i | ||||
\(595\) | 0.858564 | − | 4.86916i | 0.0351977 | − | 0.199616i | ||||
\(596\) | −4.88197 | + | 8.45581i | −0.199973 | + | 0.346364i | ||||
\(597\) | 1.00406 | + | 1.73908i | 0.0410933 | + | 0.0711757i | ||||
\(598\) | 0.496030 | − | 0.180540i | 0.0202842 | − | 0.00738284i | ||||
\(599\) | −4.57987 | + | 1.66694i | −0.187128 | + | 0.0681092i | −0.433885 | − | 0.900968i | \(-0.642857\pi\) |
0.246756 | + | 0.969078i | \(0.420635\pi\) | |||||||
\(600\) | −3.78115 | − | 6.54915i | −0.154365 | − | 0.267368i | ||||
\(601\) | 4.87380 | − | 8.44166i | 0.198806 | − | 0.344343i | −0.749335 | − | 0.662191i | \(-0.769627\pi\) |
0.948142 | + | 0.317848i | \(0.102960\pi\) | |||||||
\(602\) | −0.727194 | + | 4.12412i | −0.0296382 | + | 0.168087i | ||||
\(603\) | 6.17239 | − | 5.17925i | 0.251359 | − | 0.210915i | ||||
\(604\) | −21.4314 | − | 17.9831i | −0.872030 | − | 0.731720i | ||||
\(605\) | 5.10811 | + | 28.9695i | 0.207674 | + | 1.17778i | ||||
\(606\) | 13.4099 | + | 4.88080i | 0.544740 | + | 0.198269i | ||||
\(607\) | −27.9767 | −1.13554 | −0.567769 | − | 0.823188i | \(-0.692193\pi\) | ||||
−0.567769 | + | 0.823188i | \(0.692193\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.90983 | −0.0773902 | ||||||||
\(610\) | 54.7883 | + | 19.9413i | 2.21831 | + | 0.807400i | ||||
\(611\) | 1.44736 | + | 8.20837i | 0.0585538 | + | 0.332075i | ||||
\(612\) | −4.95794 | − | 4.16021i | −0.200413 | − | 0.168166i | ||||
\(613\) | −25.6411 | + | 21.5155i | −1.03564 | + | 0.869002i | −0.991511 | − | 0.130024i | \(-0.958494\pi\) |
−0.0441252 | + | 0.999026i | \(0.514050\pi\) | |||||||
\(614\) | 9.12735 | − | 51.7638i | 0.368350 | − | 2.08902i | ||||
\(615\) | −6.70820 | + | 11.6190i | −0.270501 | + | 0.468521i | ||||
\(616\) | 0.118513 | + | 0.205270i | 0.00477502 | + | 0.00827058i | ||||
\(617\) | 15.2893 | − | 5.56484i | 0.615523 | − | 0.224032i | −0.0153950 | − | 0.999881i | \(-0.504901\pi\) |
0.630918 | + | 0.775849i | \(0.282678\pi\) | |||||||
\(618\) | 37.8578 | − | 13.7791i | 1.52286 | − | 0.554277i | ||||
\(619\) | 17.3885 | + | 30.1178i | 0.698905 | + | 1.21054i | 0.968847 | + | 0.247662i | \(0.0796621\pi\) |
−0.269942 | + | 0.962877i | \(0.587005\pi\) | |||||||
\(620\) | 4.97980 | − | 8.62526i | 0.199993 | − | 0.346399i | ||||
\(621\) | 0.300515 | − | 1.70431i | 0.0120593 | − | 0.0683915i | ||||
\(622\) | 21.0874 | − | 17.6944i | 0.845527 | − | 0.709482i | ||||
\(623\) | 1.34489 | + | 1.12849i | 0.0538817 | + | 0.0452121i | ||||
\(624\) | 1.10822 | + | 6.28501i | 0.0443642 | + | 0.251602i | ||||
\(625\) | 21.0645 | + | 7.66686i | 0.842581 | + | 0.306675i | ||||
\(626\) | −10.2371 | −0.409157 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −7.38197 | −0.294573 | ||||||||
\(629\) | −40.1667 | − | 14.6195i | −1.60155 | − | 0.582917i | ||||
\(630\) | 0.155946 | + | 0.884412i | 0.00621303 | + | 0.0352358i | ||||
\(631\) | −19.1511 | − | 16.0697i | −0.762394 | − | 0.639724i | 0.176355 | − | 0.984327i | \(-0.443569\pi\) |
−0.938749 | + | 0.344602i | \(0.888014\pi\) | |||||||
\(632\) | −2.61712 | + | 2.19602i | −0.104103 | + | 0.0873532i | ||||
\(633\) | 0.204964 | − | 1.16241i | 0.00814658 | − | 0.0462016i | ||||
\(634\) | 29.7984 | − | 51.6123i | 1.18344 | − | 2.04979i | ||||
\(635\) | 20.1967 | + | 34.9817i | 0.801482 | + | 1.38821i | ||||
\(636\) | 14.4020 | − | 5.24188i | 0.571075 | − | 0.207854i | ||||
\(637\) | −4.74104 | + | 1.72560i | −0.187847 | + | 0.0683707i | ||||
\(638\) | 5.59017 | + | 9.68246i | 0.221317 | + | 0.383332i | ||||
\(639\) | −3.13068 | + | 5.42250i | −0.123848 | + | 0.214511i | ||||
\(640\) | 3.20660 | − | 18.1856i | 0.126752 | − | 0.718847i | ||||
\(641\) | −35.8400 | + | 30.0733i | −1.41559 | + | 1.18783i | −0.461944 | + | 0.886909i | \(0.652848\pi\) |
−0.953651 | + | 0.300916i | \(0.902708\pi\) | |||||||
\(642\) | −16.5847 | − | 13.9162i | −0.654546 | − | 0.549229i | ||||
\(643\) | −0.991219 | − | 5.62148i | −0.0390899 | − | 0.221690i | 0.959005 | − | 0.283390i | \(-0.0914589\pi\) |
−0.998095 | + | 0.0616999i | \(0.980348\pi\) | |||||||
\(644\) | 0.137099 | + | 0.0499001i | 0.00540247 | + | 0.00196634i | ||||
\(645\) | −57.4064 | −2.26038 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 8.12461 | 0.319411 | 0.159706 | − | 0.987165i | \(-0.448945\pi\) | ||||
0.159706 | + | 0.987165i | \(0.448945\pi\) | |||||||
\(648\) | 7.14961 | + | 2.60224i | 0.280863 | + | 0.102226i | ||||
\(649\) | −2.10795 | − | 11.9548i | −0.0827444 | − | 0.469267i | ||||
\(650\) | 5.79306 | + | 4.86096i | 0.227223 | + | 0.190662i | ||||
\(651\) | 0.654280 | − | 0.549006i | 0.0256433 | − | 0.0215172i | ||||
\(652\) | 4.34719 | − | 24.6541i | 0.170249 | − | 0.965530i | ||||
\(653\) | 11.3713 | − | 19.6957i | 0.444994 | − | 0.770753i | −0.553058 | − | 0.833143i | \(-0.686539\pi\) |
0.998052 | + | 0.0623904i | \(0.0198724\pi\) | |||||||
\(654\) | −5.56758 | − | 9.64333i | −0.217710 | − | 0.377084i | ||||
\(655\) | 18.5197 | − | 6.74060i | 0.723623 | − | 0.263377i | ||||
\(656\) | −9.45856 | + | 3.44264i | −0.369295 | + | 0.134412i | ||||
\(657\) | −2.78115 | − | 4.81710i | −0.108503 | − | 0.187933i | ||||
\(658\) | −2.57565 | + | 4.46117i | −0.100409 | + | 0.173914i | ||||
\(659\) | −6.56916 | + | 37.2555i | −0.255898 | + | 1.45127i | 0.537859 | + | 0.843035i | \(0.319233\pi\) |
−0.793757 | + | 0.608235i | \(0.791878\pi\) | |||||||
\(660\) | 10.5437 | − | 8.84721i | 0.410413 | − | 0.344377i | ||||
\(661\) | 25.8027 | + | 21.6510i | 1.00361 | + | 0.842127i | 0.987480 | − | 0.157743i | \(-0.0504217\pi\) |
0.0161277 | + | 0.999870i | \(0.494866\pi\) | |||||||
\(662\) | −6.69258 | − | 37.9555i | −0.260114 | − | 1.47518i | ||||
\(663\) | −8.40487 | − | 3.05912i | −0.326418 | − | 0.118806i | ||||
\(664\) | −2.35114 | −0.0912420 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 7.76393 | 0.300846 | ||||||||
\(667\) | −1.52662 | − | 0.555645i | −0.0591111 | − | 0.0215147i | ||||
\(668\) | 0.456461 | + | 2.58872i | 0.0176610 | + | 0.100161i | ||||
\(669\) | −23.7311 | − | 19.9127i | −0.917496 | − | 0.769871i | ||||
\(670\) | 61.4745 | − | 51.5832i | 2.37497 | − | 1.99283i | ||||
\(671\) | 2.27308 | − | 12.8913i | 0.0877514 | − | 0.497663i | ||||
\(672\) | −1.64590 | + | 2.85078i | −0.0634919 | + | 0.109971i | ||||
\(673\) | −4.78804 | − | 8.29313i | −0.184565 | − | 0.319677i | 0.758865 | − | 0.651248i | \(-0.225754\pi\) |
−0.943430 | + | 0.331572i | \(0.892421\pi\) | |||||||
\(674\) | −0.992060 | + | 0.361080i | −0.0382127 | + | 0.0139083i | ||||
\(675\) | 23.2978 | − | 8.47970i | 0.896732 | − | 0.326384i | ||||
\(676\) | 10.0902 | + | 17.4767i | 0.388083 | + | 0.672180i | ||||
\(677\) | −7.55545 | + | 13.0864i | −0.290380 | + | 0.502952i | −0.973899 | − | 0.226980i | \(-0.927115\pi\) |
0.683520 | + | 0.729932i | \(0.260448\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.800169 | + | 0.671421i | −0.0307077 | + | 0.0257668i | ||||
\(680\) | 11.6568 | + | 9.78124i | 0.447019 | + | 0.375093i | ||||
\(681\) | 5.19607 | + | 29.4684i | 0.199114 | + | 1.12923i | ||||
\(682\) | −4.69846 | − | 1.71010i | −0.179913 | − | 0.0654831i | ||||
\(683\) | 40.2219 | 1.53905 | 0.769524 | − | 0.638618i | \(-0.220494\pi\) | ||||
0.769524 | + | 0.638618i | \(0.220494\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −28.1803 | −1.07672 | ||||||||
\(686\) | −5.88376 | − | 2.14151i | −0.224643 | − | 0.0817634i | ||||
\(687\) | −2.34187 | − | 13.2814i | −0.0893480 | − | 0.506718i | ||||
\(688\) | −32.9927 | − | 27.6841i | −1.25783 | − | 1.05545i | ||||
\(689\) | 2.77157 | − | 2.32563i | 0.105589 | − | 0.0885993i | ||||
\(690\) | −0.776578 | + | 4.40419i | −0.0295638 | + | 0.167665i | ||||
\(691\) | 8.15248 | − | 14.1205i | 0.310135 | − | 0.537169i | −0.668257 | − | 0.743931i | \(-0.732959\pi\) |
0.978391 | + | 0.206762i | \(0.0662925\pi\) | |||||||
\(692\) | 13.4863 | + | 23.3590i | 0.512672 | + | 0.887975i | ||||
\(693\) | 0.189467 | − | 0.0689602i | 0.00719724 | − | 0.00261958i | ||||
\(694\) | 51.5358 | − | 18.7575i | 1.95627 | − | 0.712025i | ||||
\(695\) | −19.5623 | − | 33.8829i | −0.742041 | − | 1.28525i | ||||
\(696\) | 2.93893 | − | 5.09037i | 0.111400 | − | 0.192950i | ||||
\(697\) | 2.44963 | − | 13.8925i | 0.0927863 | − | 0.526217i | ||||
\(698\) | −19.8429 | + | 16.6502i | −0.751064 | + | 0.630218i | ||||
\(699\) | 6.59756 | + | 5.53601i | 0.249543 | + | 0.209391i | ||||
\(700\) | 0.362954 | + | 2.05842i | 0.0137184 | + | 0.0778008i | ||||
\(701\) | −8.21540 | − | 2.99016i | −0.310291 | − | 0.112937i | 0.182181 | − | 0.983265i | \(-0.441684\pi\) |
−0.492472 | + | 0.870328i | \(0.663907\pi\) | |||||||
\(702\) | −6.26137 | −0.236320 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 6.50658 | 0.245226 | ||||||||
\(705\) | −66.3566 | − | 24.1518i | −2.49913 | − | 0.909610i | ||||
\(706\) | −8.38362 | − | 47.5459i | −0.315522 | − | 1.78941i | ||||
\(707\) | 0.713276 | + | 0.598510i | 0.0268255 | + | 0.0225093i | ||||
\(708\) | 20.7096 | − | 17.3774i | 0.778314 | − | 0.653083i | ||||
\(709\) | −2.32973 | + | 13.2126i | −0.0874950 | + | 0.496209i | 0.909295 | + | 0.416152i | \(0.136621\pi\) |
−0.996790 | + | 0.0800573i | \(0.974490\pi\) | |||||||
\(710\) | −31.1803 | + | 54.0059i | −1.17018 | + | 2.02681i | ||||
\(711\) | 1.45309 | + | 2.51682i | 0.0544949 | + | 0.0943880i | ||||
\(712\) | −5.07740 | + | 1.84802i | −0.190283 | + | 0.0692575i | ||||
\(713\) | 0.682727 | − | 0.248492i | 0.0255683 | − | 0.00930611i | ||||
\(714\) | −2.76393 | − | 4.78727i | −0.103438 | − | 0.179159i | ||||
\(715\) | 1.62460 | − | 2.81389i | 0.0607565 | − | 0.105233i | ||||
\(716\) | −2.43825 | + | 13.8280i | −0.0911218 | + | 0.516777i | ||||
\(717\) | −13.3265 | + | 11.1823i | −0.497688 | + | 0.417610i | ||||
\(718\) | 51.5552 | + | 43.2599i | 1.92402 | + | 1.61445i | ||||
\(719\) | 2.53839 | + | 14.3960i | 0.0946662 | + | 0.536878i | 0.994849 | + | 0.101367i | \(0.0323215\pi\) |
−0.900183 | + | 0.435512i | \(0.856567\pi\) | |||||||
\(720\) | −8.67906 | − | 3.15892i | −0.323450 | − | 0.117726i | ||||
\(721\) | 2.62866 | 0.0978962 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −51.6312 | −1.92018 | ||||||||
\(724\) | 8.83740 | + | 3.21655i | 0.328439 | + | 0.119542i | ||||
\(725\) | −4.04155 | − | 22.9208i | −0.150100 | − | 0.851257i | ||||
\(726\) | 25.1941 | + | 21.1403i | 0.935040 | + | 0.784592i | ||||
\(727\) | −28.3010 | + | 23.7473i | −1.04962 | + | 0.880739i | −0.993054 | − | 0.117659i | \(-0.962461\pi\) |
−0.0565703 | + | 0.998399i | \(0.518016\pi\) | |||||||
\(728\) | −0.0216386 | + | 0.122719i | −0.000801980 | + | 0.00454826i | ||||
\(729\) | −9.69098 | + | 16.7853i | −0.358925 | + | 0.621677i | ||||
\(730\) | −27.6992 | − | 47.9763i | −1.02519 | − | 1.77568i | ||||
\(731\) | 56.7205 | − | 20.6446i | 2.09788 | − | 0.763567i | ||||
\(732\) | 27.3941 | − | 9.97065i | 1.01252 | − | 0.368526i | ||||
\(733\) | −6.40983 | − | 11.1022i | −0.236752 | − | 0.410067i | 0.723028 | − | 0.690819i | \(-0.242750\pi\) |
−0.959781 | + | 0.280751i | \(0.909416\pi\) | |||||||
\(734\) | 11.9147 | − | 20.6369i | 0.439780 | − | 0.761721i | ||||
\(735\) | 7.42251 | − | 42.0952i | 0.273783 | − | 1.55270i | ||||
\(736\) | −2.14505 | + | 1.79991i | −0.0790677 | + | 0.0663457i | ||||
\(737\) | −13.8019 | − | 11.5812i | −0.508399 | − | 0.426597i | ||||
\(738\) | 0.444940 | + | 2.52338i | 0.0163785 | + | 0.0928869i | ||||
\(739\) | −18.2978 | − | 6.65986i | −0.673096 | − | 0.244987i | −0.0172158 | − | 0.999852i | \(-0.505480\pi\) |
−0.655880 | + | 0.754865i | \(0.727702\pi\) | |||||||
\(740\) | 34.5811 | 1.27123 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.23607 | 0.0820886 | ||||||||
\(743\) | −34.5437 | − | 12.5729i | −1.26729 | − | 0.461255i | −0.381079 | − | 0.924542i | \(-0.624447\pi\) |
−0.886208 | + | 0.463288i | \(0.846670\pi\) | |||||||
\(744\) | 0.456461 | + | 2.58872i | 0.0167347 | + | 0.0949071i | ||||
\(745\) | −14.9592 | − | 12.5523i | −0.548063 | − | 0.459880i | ||||
\(746\) | 53.5641 | − | 44.9456i | 1.96112 | − | 1.64558i | ||||
\(747\) | −0.347296 | + | 1.96962i | −0.0127069 | + | 0.0720645i | ||||
\(748\) | −7.23607 | + | 12.5332i | −0.264577 | + | 0.458261i | ||||
\(749\) | −0.706298 | − | 1.22334i | −0.0258076 | − | 0.0447000i | ||||
\(750\) | −5.19449 | + | 1.89064i | −0.189676 | + | 0.0690364i | ||||
\(751\) | −11.3456 | + | 4.12945i | −0.414006 | + | 0.150686i | −0.540621 | − | 0.841266i | \(-0.681811\pi\) |
0.126615 | + | 0.991952i | \(0.459589\pi\) | |||||||
\(752\) | −26.4894 | − | 45.8809i | −0.965967 | − | 1.67310i | ||||
\(753\) | 15.6129 | − | 27.0424i | 0.568967 | − | 0.985480i | ||||
\(754\) | −1.02068 | + | 5.78855i | −0.0371709 | + | 0.210807i | ||||
\(755\) | 42.8627 | − | 35.9661i | 1.55993 | − | 1.30894i | ||||
\(756\) | −1.32572 | − | 1.11241i | −0.0482158 | − | 0.0404579i | ||||
\(757\) | −6.47196 | − | 36.7043i | −0.235227 | − | 1.33404i | −0.842135 | − | 0.539267i | \(-0.818701\pi\) |
0.606907 | − | 0.794773i | \(-0.292410\pi\) | |||||||
\(758\) | −38.2008 | − | 13.9040i | −1.38752 | − | 0.505015i | ||||
\(759\) | 1.00406 | 0.0364450 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.9443 | −0.867979 | −0.433990 | − | 0.900918i | \(-0.642895\pi\) | ||||
−0.433990 | + | 0.900918i | \(0.642895\pi\) | |||||||
\(762\) | 42.4376 | + | 15.4460i | 1.53735 | + | 0.559551i | ||||
\(763\) | −0.126163 | − | 0.715505i | −0.00456740 | − | 0.0259030i | ||||
\(764\) | −21.0713 | − | 17.6809i | −0.762331 | − | 0.639672i | ||||
\(765\) | 9.91589 | − | 8.32042i | 0.358510 | − | 0.300825i | ||||
\(766\) | 3.73458 | − | 21.1798i | 0.134936 | − | 0.765259i | ||||
\(767\) | 3.19098 | − | 5.52694i | 0.115220 | − | 0.199566i | ||||
\(768\) | −19.2784 | − | 33.3912i | −0.695649 | − | 1.20490i | ||||
\(769\) | −31.1593 | + | 11.3411i | −1.12363 | + | 0.408969i | −0.835977 | − | 0.548764i | \(-0.815098\pi\) |
−0.287657 | + | 0.957734i | \(0.592876\pi\) | |||||||
\(770\) | 1.88701 | − | 0.686815i | 0.0680031 | − | 0.0247511i | ||||
\(771\) | 10.3262 | + | 17.8856i | 0.371890 | + | 0.644133i | ||||
\(772\) | −6.88191 | + | 11.9198i | −0.247685 | + | 0.429004i | ||||
\(773\) | −2.14911 | + | 12.1882i | −0.0772982 | + | 0.438380i | 0.921456 | + | 0.388482i | \(0.127001\pi\) |
−0.998754 | + | 0.0498975i | \(0.984111\pi\) | |||||||
\(774\) | −8.39864 | + | 7.04730i | −0.301883 | + | 0.253310i | ||||
\(775\) | 7.97347 | + | 6.69053i | 0.286415 | + | 0.240331i | ||||
\(776\) | −0.558241 | − | 3.16594i | −0.0200397 | − | 0.113651i | ||||
\(777\) | 2.78671 | + | 1.01428i | 0.0999728 | + | 0.0363871i | ||||
\(778\) | −3.63271 | −0.130239 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 7.23607 | 0.259093 | ||||||||
\(781\) | 13.1565 | + | 4.78857i | 0.470776 | + | 0.171349i | ||||
\(782\) | −0.816543 | − | 4.63084i | −0.0291995 | − | 0.165599i | ||||
\(783\) | 14.7621 | + | 12.3868i | 0.527553 | + | 0.442670i | ||||
\(784\) | 24.5662 | − | 20.6135i | 0.877364 | − | 0.736196i | ||||
\(785\) | 2.56373 | − | 14.5396i | 0.0915034 | − | 0.518942i | ||||
\(786\) | 11.0172 | − | 19.0824i | 0.392971 | − | 0.680646i | ||||
\(787\) | 9.68208 | + | 16.7699i | 0.345129 | + | 0.597781i | 0.985377 | − | 0.170387i | \(-0.0545019\pi\) |
−0.640248 | + | 0.768168i | \(0.721169\pi\) | |||||||
\(788\) | −17.4429 | + | 6.34868i | −0.621376 | + | 0.226162i | ||||
\(789\) | 42.6984 | − | 15.5410i | 1.52010 | − | 0.553273i | ||||
\(790\) | 14.4721 | + | 25.0665i | 0.514895 | + | 0.891825i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −0.107756 | + | 0.611114i | −0.00382894 | + | 0.0217150i | ||||
\(793\) | 5.27185 | − | 4.42361i | 0.187209 | − | 0.157087i | ||||
\(794\) | −1.88228 | − | 1.57942i | −0.0667996 | − | 0.0560515i | ||||
\(795\) | 5.32275 | + | 30.1868i | 0.188778 | + | 1.07062i | ||||
\(796\) | 1.60519 | + | 0.584240i | 0.0568943 | + | 0.0207078i | ||||
\(797\) | 13.2088 | 0.467879 | 0.233940 | − | 0.972251i | \(-0.424838\pi\) | ||||
0.233940 | + | 0.972251i | \(0.424838\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 74.2492 | 2.62675 | ||||||||
\(800\) | −37.6966 | − | 13.7204i | −1.33278 | − | 0.485091i | ||||
\(801\) | 0.798136 | + | 4.52645i | 0.0282007 | + | 0.159934i | ||||
\(802\) | −6.85171 | − | 5.74927i | −0.241942 | − | 0.203014i | ||||
\(803\) | −9.52783 | + | 7.99480i | −0.336230 | + | 0.282130i | ||||
\(804\) | 6.96757 | − | 39.5150i | 0.245727 | − | 1.39359i | ||||
\(805\) | −0.145898 | + | 0.252703i | −0.00514223 | + | 0.00890660i | ||||
\(806\) | −1.31433 | − | 2.27648i | −0.0462952 | − | 0.0801857i | ||||
\(807\) | −46.1097 | + | 16.7825i | −1.62314 | + | 0.590774i | ||||
\(808\) | −2.69286 | + | 0.980121i | −0.0947345 | + | 0.0344805i | ||||
\(809\) | 17.1353 | + | 29.6791i | 0.602443 | + | 1.04346i | 0.992450 | + | 0.122651i | \(0.0391394\pi\) |
−0.390006 | + | 0.920812i | \(0.627527\pi\) | |||||||
\(810\) | 32.2299 | − | 55.8239i | 1.13244 | − | 1.96145i | ||||
\(811\) | 3.85583 | − | 21.8675i | 0.135396 | − | 0.767871i | −0.839187 | − | 0.543844i | \(-0.816968\pi\) |
0.974583 | − | 0.224027i | \(-0.0719204\pi\) | |||||||
\(812\) | −1.24451 | + | 1.04427i | −0.0436739 | + | 0.0366468i | ||||
\(813\) | −28.0791 | − | 23.5612i | −0.984778 | − | 0.826327i | ||||
\(814\) | −3.01465 | − | 17.0969i | −0.105663 | − | 0.599247i | ||||
\(815\) | 47.0494 | + | 17.1246i | 1.64807 | + | 0.599847i | ||||
\(816\) | 56.8514 | 1.99020 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 45.7771 | 1.60056 | ||||||||
\(819\) | 0.0996085 | + | 0.0362545i | 0.00348060 | + | 0.00126684i | ||||
\(820\) | 1.98179 | + | 11.2393i | 0.0692071 | + | 0.392493i | ||||
\(821\) | 7.68683 | + | 6.45001i | 0.268272 | + | 0.225107i | 0.766993 | − | 0.641656i | \(-0.221752\pi\) |
−0.498721 | + | 0.866763i | \(0.666197\pi\) | |||||||
\(822\) | −24.1354 | + | 20.2520i | −0.841820 | + | 0.706371i | ||||
\(823\) | 8.80767 | − | 49.9508i | 0.307016 | − | 1.74118i | −0.306844 | − | 0.951760i | \(-0.599273\pi\) |
0.613860 | − | 0.789415i | \(-0.289616\pi\) | |||||||
\(824\) | −4.04508 | + | 7.00629i | −0.140917 | + | 0.244076i | ||||
\(825\) | 7.19218 | + | 12.4572i | 0.250400 | + | 0.433705i | ||||
\(826\) | 3.70640 | − | 1.34902i | 0.128962 | − | 0.0469384i | ||||
\(827\) | 27.9157 | − | 10.1605i | 0.970724 | − | 0.353315i | 0.192497 | − | 0.981298i | \(-0.438341\pi\) |
0.778227 | + | 0.627983i | \(0.216119\pi\) | |||||||
\(828\) | 0.190983 | + | 0.330792i | 0.00663712 | + | 0.0114958i | ||||
\(829\) | −7.55545 | + | 13.0864i | −0.262412 | + | 0.454510i | −0.966882 | − | 0.255223i | \(-0.917851\pi\) |
0.704471 | + | 0.709733i | \(0.251185\pi\) | |||||||
\(830\) | −3.45893 | + | 19.6166i | −0.120061 | + | 0.680901i | ||||
\(831\) | −21.5126 | + | 18.0512i | −0.746263 | + | 0.626189i | ||||
\(832\) | 2.62042 | + | 2.19879i | 0.0908466 | + | 0.0762293i | ||||
\(833\) | 7.80449 | + | 44.2615i | 0.270410 | + | 1.53357i | ||||
\(834\) | −41.1046 | − | 14.9609i | −1.42334 | − | 0.518052i | ||||
\(835\) | −5.25731 | −0.181937 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.61803 | −0.297883 | ||||||||
\(838\) | −11.7675 | − | 4.28303i | −0.406502 | − | 0.147955i | ||||
\(839\) | −2.94290 | − | 16.6900i | −0.101600 | − | 0.576204i | −0.992524 | − | 0.122051i | \(-0.961053\pi\) |
0.890924 | − | 0.454153i | \(-0.150058\pi\) | |||||||
\(840\) | −0.808735 | − | 0.678609i | −0.0279040 | − | 0.0234142i | ||||
\(841\) | −8.35741 | + | 7.01270i | −0.288187 | + | 0.241817i | ||||
\(842\) | −10.7021 | + | 60.6949i | −0.368820 | + | 2.09168i | ||||
\(843\) | 14.8992 | − | 25.8061i | 0.513155 | − | 0.888811i | ||||
\(844\) | −0.502029 | − | 0.869539i | −0.0172805 | − | 0.0299308i | ||||
\(845\) | −37.9266 | + | 13.8042i | −1.30472 | + | 0.474878i | ||||
\(846\) | −12.6730 | + | 4.61259i | −0.435706 | + | 0.158584i | ||||
\(847\) | 1.07295 | + | 1.85840i | 0.0368670 | + | 0.0638555i | ||||
\(848\) | −11.4984 | + | 19.9159i | −0.394858 | + | 0.683914i | ||||
\(849\) | −3.99336 | + | 22.6475i | −0.137052 | + | 0.777260i | ||||
\(850\) | 51.6054 | − | 43.3020i | 1.77005 | − | 1.48525i | ||||
\(851\) | 1.93247 | + | 1.62153i | 0.0662441 | + | 0.0555854i | ||||
\(852\) | 5.41441 | + | 30.7066i | 0.185495 | + | 1.05199i | ||||
\(853\) | −37.8743 | − | 13.7851i | −1.29679 | − | 0.471993i | −0.400840 | − | 0.916148i | \(-0.631282\pi\) |
−0.895950 | + | 0.444155i | \(0.853504\pi\) | |||||||
\(854\) | 4.25325 | 0.145543 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.34752 | 0.148595 | ||||||||
\(857\) | 51.9958 | + | 18.9249i | 1.77614 | + | 0.646463i | 0.999871 | + | 0.0160655i | \(0.00511403\pi\) |
0.776272 | + | 0.630398i | \(0.217108\pi\) | |||||||
\(858\) | −0.630814 | − | 3.57752i | −0.0215356 | − | 0.122135i | ||||
\(859\) | 29.8330 | + | 25.0329i | 1.01789 | + | 0.854111i | 0.989361 | − | 0.145482i | \(-0.0464732\pi\) |
0.0285293 | + | 0.999593i | \(0.490918\pi\) | |||||||
\(860\) | −37.4081 | + | 31.3891i | −1.27561 | + | 1.07036i | ||||
\(861\) | −0.169952 | + | 0.963845i | −0.00579194 | + | 0.0328477i | ||||
\(862\) | 11.8713 | − | 20.5617i | 0.404339 | − | 0.700335i | ||||
\(863\) | 16.2865 | + | 28.2090i | 0.554398 | + | 0.960246i | 0.997950 | + | 0.0639969i | \(0.0203848\pi\) |
−0.443552 | + | 0.896249i | \(0.646282\pi\) | |||||||
\(864\) | 31.2117 | − | 11.3601i | 1.06184 | − | 0.386479i | ||||
\(865\) | −50.6919 | + | 18.4504i | −1.72358 | + | 0.627331i | ||||
\(866\) | 17.9894 | + | 31.1585i | 0.611303 | + | 1.05881i | ||||
\(867\) | −23.6704 | + | 40.9984i | −0.803889 | + | 1.39238i | ||||
\(868\) | 0.126163 | − | 0.715505i | 0.00428224 | − | 0.0242858i | ||||
\(869\) | 4.97806 | − | 4.17709i | 0.168869 | − | 0.141698i | ||||
\(870\) | −38.1475 | − | 32.0095i | −1.29332 | − | 1.08522i | ||||
\(871\) | −1.64482 | − | 9.32823i | −0.0557326 | − | 0.316075i | ||||
\(872\) | 2.10122 | + | 0.764780i | 0.0711562 | + | 0.0258987i | ||||
\(873\) | −2.73466 | −0.0925541 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.360680 | −0.0121932 | ||||||||
\(876\) | −26.0287 | − | 9.47367i | −0.879428 | − | 0.320086i | ||||
\(877\) | −1.69265 | − | 9.59950i | −0.0571568 | − | 0.324152i | 0.942801 | − | 0.333356i | \(-0.108181\pi\) |
−0.999958 | + | 0.00920428i | \(0.997070\pi\) | |||||||
\(878\) | 8.71909 | + | 7.31619i | 0.294255 | + | 0.246909i | ||||
\(879\) | −22.2681 | + | 18.6851i | −0.751083 | + | 0.630233i | ||||
\(880\) | −3.58626 | + | 20.3387i | −0.120893 | + | 0.685618i | ||||
\(881\) | −20.2877 | + | 35.1394i | −0.683511 | + | 1.18388i | 0.290391 | + | 0.956908i | \(0.406215\pi\) |
−0.973902 | + | 0.226968i | \(0.927119\pi\) | |||||||
\(882\) | −4.08174 | − | 7.06978i | −0.137439 | − | 0.238052i | ||||
\(883\) | −13.1233 | + | 4.77650i | −0.441635 | + | 0.160742i | −0.553261 | − | 0.833008i | \(-0.686617\pi\) |
0.111625 | + | 0.993750i | \(0.464394\pi\) | |||||||
\(884\) | −7.14961 | + | 2.60224i | −0.240467 | + | 0.0875229i | ||||
\(885\) | 27.0344 | + | 46.8250i | 0.908753 | + | 1.57401i | ||||
\(886\) | 14.4374 | − | 25.0062i | 0.485033 | − | 0.840101i | ||||
\(887\) | −2.85790 | + | 16.2080i | −0.0959589 | + | 0.544210i | 0.898490 | + | 0.438993i | \(0.144665\pi\) |
−0.994449 | + | 0.105217i | \(0.966446\pi\) | |||||||
\(888\) | −6.99173 | + | 5.86675i | −0.234627 | + | 0.196875i | ||||
\(889\) | 2.25727 | + | 1.89408i | 0.0757065 | + | 0.0635253i | ||||
\(890\) | 7.94911 | + | 45.0816i | 0.266455 | + | 1.51114i | ||||
\(891\) | −13.5994 | − | 4.94976i | −0.455596 | − | 0.165823i | ||||
\(892\) | −26.3521 | −0.882332 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −21.8328 | −0.730199 | ||||||||
\(895\) | −26.3891 | − | 9.60484i | −0.882090 | − | 0.321054i | ||||
\(896\) | −0.233919 | − | 1.32662i | −0.00781467 | − | 0.0443192i | ||||
\(897\) | 0.404367 | + | 0.339304i | 0.0135014 | + | 0.0113290i | ||||
\(898\) | −35.3172 | + | 29.6346i | −1.17855 | + | 0.988921i | ||||
\(899\) | −1.40484 | + | 7.96726i | −0.0468541 | + | 0.265723i | ||||
\(900\) | −2.73607 | + | 4.73901i | −0.0912023 | + | 0.157967i | ||||
\(901\) | −16.1150 | − | 27.9119i | −0.536867 | − | 0.929881i | ||||
\(902\) | 5.38396 | − | 1.95960i | 0.179266 | − | 0.0652476i | ||||
\(903\) | −3.93519 | + | 1.43229i | −0.130955 | + | 0.0476637i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −9.40456 | + | 16.2892i | −0.312618 | + | 0.541471i | ||||
\(906\) | 10.8630 | − | 61.6073i | 0.360900 | − | 2.04677i | ||||
\(907\) | 22.2005 | − | 18.6284i | 0.737156 | − | 0.618548i | −0.194916 | − | 0.980820i | \(-0.562443\pi\) |
0.932072 | + | 0.362272i | \(0.117999\pi\) | |||||||
\(908\) | 19.4989 | + | 16.3615i | 0.647094 | + | 0.542976i | ||||
\(909\) | 0.423301 | + | 2.40066i | 0.0140400 | + | 0.0796249i | ||||
\(910\) | 0.992060 | + | 0.361080i | 0.0328865 | + | 0.0119697i | ||||
\(911\) | 25.4540 | 0.843329 | 0.421665 | − | 0.906752i | \(-0.361446\pi\) | ||||
0.421665 | + | 0.906752i | \(0.361446\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.47214 | 0.148006 | ||||||||
\(914\) | 11.2460 | + | 4.09320i | 0.371984 | + | 0.135391i | ||||
\(915\) | 10.1245 | + | 57.4187i | 0.334705 | + | 1.89820i | ||||
\(916\) | −8.78817 | − | 7.37415i | −0.290369 | − | 0.243649i | ||||
\(917\) | 1.10134 | − | 0.924132i | 0.0363694 | − | 0.0305175i | ||||
\(918\) | −9.68559 | + | 54.9297i | −0.319672 | + | 1.81295i | ||||
\(919\) | 23.6803 | − | 41.0156i | 0.781142 | − | 1.35298i | −0.150134 | − | 0.988666i | \(-0.547971\pi\) |
0.931277 | − | 0.364313i | \(-0.118696\pi\) | |||||||
\(920\) | −0.449028 | − | 0.777739i | −0.0148040 | − | 0.0256413i | ||||
\(921\) | 49.3924 | − | 17.9774i | 1.62754 | − | 0.592374i | ||||
\(922\) | −21.1265 | + | 7.68941i | −0.695764 | + | 0.253237i | ||||
\(923\) | 3.68034 | + | 6.37454i | 0.121140 | + | 0.209820i | ||||
\(924\) | 0.502029 | − | 0.869539i | 0.0165155 | − | 0.0286057i | ||||
\(925\) | −6.27567 | + | 35.5911i | −0.206343 | + | 1.17023i | ||||
\(926\) | −14.7836 | + | 12.4049i | −0.485820 | + | 0.407651i | ||||
\(927\) | 5.27185 | + | 4.42361i | 0.173150 | + | 0.145290i | ||||
\(928\) | −5.41441 | − | 30.7066i | −0.177737 | − | 1.00799i | ||||
\(929\) | −15.5111 | − | 5.64558i | −0.508903 | − | 0.185226i | 0.0747910 | − | 0.997199i | \(-0.476171\pi\) |
−0.583694 | + | 0.811974i | \(0.698393\pi\) | |||||||
\(930\) | 22.2703 | 0.730273 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 7.32624 | 0.239979 | ||||||||
\(933\) | 25.8675 | + | 9.41501i | 0.846865 | + | 0.308233i | ||||
\(934\) | −1.39917 | − | 7.93507i | −0.0457821 | − | 0.259643i | ||||
\(935\) | −22.1726 | − | 18.6050i | −0.725122 | − | 0.608449i | ||||
\(936\) | −0.249913 | + | 0.209702i | −0.00816865 | + | 0.00685431i | ||||
\(937\) | −2.98703 | + | 16.9403i | −0.0975821 | + | 0.553415i | 0.896343 | + | 0.443360i | \(0.146214\pi\) |
−0.993926 | + | 0.110055i | \(0.964897\pi\) | |||||||
\(938\) | 2.92705 | − | 5.06980i | 0.0955716 | − | 0.165535i | ||||
\(939\) | −5.11855 | − | 8.86560i | −0.167038 | − | 0.289318i | ||||
\(940\) | −56.4463 | + | 20.5448i | −1.84107 | + | 0.670096i | ||||
\(941\) | −26.1283 | + | 9.50992i | −0.851758 | + | 0.310015i | −0.730757 | − | 0.682638i | \(-0.760833\pi\) |
−0.121001 | + | 0.992652i | \(0.538610\pi\) | |||||||
\(942\) | −8.25329 | − | 14.2951i | −0.268907 | − | 0.465760i | ||||
\(943\) | −0.416272 | + | 0.721004i | −0.0135557 | + | 0.0234791i | ||||
\(944\) | −7.04402 | + | 39.9486i | −0.229263 | + | 1.30022i | ||||
\(945\) | 2.65143 | − | 2.22482i | 0.0862511 | − | 0.0723733i | ||||
\(946\) | 18.7799 | + | 15.7582i | 0.610588 | + | 0.512345i | ||||
\(947\) | −4.89346 | − | 27.7522i | −0.159016 | − | 0.901826i | −0.955022 | − | 0.296536i | \(-0.904168\pi\) |
0.796005 | − | 0.605290i | \(-0.206943\pi\) | |||||||
\(948\) | 13.5994 | + | 4.94976i | 0.441687 | + | 0.160761i | ||||
\(949\) | −6.53888 | −0.212261 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 59.5967 | 1.93256 | ||||||||
\(952\) | 1.04311 | + | 0.379662i | 0.0338075 | + | 0.0123049i | ||||
\(953\) | −3.54828 | − | 20.1233i | −0.114940 | − | 0.651857i | −0.986780 | − | 0.162066i | \(-0.948184\pi\) |
0.871840 | − | 0.489791i | \(-0.162927\pi\) | |||||||
\(954\) | 4.48450 | + | 3.76294i | 0.145191 | + | 0.121830i | ||||
\(955\) | 42.1425 | − | 35.3618i | 1.36370 | − | 1.14428i | ||||
\(956\) | −2.56971 | + | 14.5736i | −0.0831104 | + | 0.471342i | ||||
\(957\) | −5.59017 | + | 9.68246i | −0.180705 | + | 0.312989i | ||||
\(958\) | −15.1311 | − | 26.2079i | −0.488865 | − | 0.846739i | ||||
\(959\) | −1.93175 | + | 0.703100i | −0.0623795 | + | 0.0227043i | ||||
\(960\) | −27.2330 | + | 9.91199i | −0.878940 | + | 0.319908i | ||||
\(961\) | 13.6910 | + | 23.7135i | 0.441645 | + | 0.764951i | ||||
\(962\) | 4.56352 | − | 7.90426i | 0.147134 | − | 0.254843i | ||||
\(963\) | 0.642190 | − | 3.64204i | 0.0206943 | − | 0.117363i | ||||
\(964\) | −33.6448 | + | 28.2313i | −1.08362 | + | 0.909269i | ||||
\(965\) | −21.0874 | − | 17.6944i | −0.678827 | − | 0.569604i | ||||
\(966\) | 0.0566506 | + | 0.321282i | 0.00182270 | + | 0.0103371i | ||||
\(967\) | −19.0681 | − | 6.94020i | −0.613187 | − | 0.223182i | 0.0167100 | − | 0.999860i | \(-0.494681\pi\) |
−0.629897 | + | 0.776678i | \(0.716903\pi\) | |||||||
\(968\) | −6.60440 | −0.212273 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −27.2361 | −0.874497 | ||||||||
\(971\) | 41.9541 | + | 15.2701i | 1.34637 | + | 0.490039i | 0.911814 | − | 0.410604i | \(-0.134682\pi\) |
0.434559 | + | 0.900644i | \(0.356904\pi\) | |||||||
\(972\) | −1.77766 | − | 10.0816i | −0.0570183 | − | 0.323367i | ||||
\(973\) | −2.18637 | − | 1.83458i | −0.0700918 | − | 0.0588140i | ||||
\(974\) | −24.2899 | + | 20.3816i | −0.778298 | + | 0.653070i | ||||
\(975\) | −1.31318 | + | 7.44742i | −0.0420554 | + | 0.238508i | ||||
\(976\) | −21.8713 | + | 37.8822i | −0.700084 | + | 1.21258i | ||||
\(977\) | −4.78804 | − | 8.29313i | −0.153183 | − | 0.265321i | 0.779213 | − | 0.626759i | \(-0.215619\pi\) |
−0.932396 | + | 0.361439i | \(0.882286\pi\) | |||||||
\(978\) | 52.6028 | − | 19.1458i | 1.68205 | − | 0.612217i | ||||
\(979\) | 9.65778 | − | 3.51515i | 0.308664 | − | 0.112345i | ||||
\(980\) | −18.1803 | − | 31.4893i | −0.580750 | − | 1.00589i | ||||
\(981\) | 0.951057 | − | 1.64728i | 0.0303649 | − | 0.0525935i | ||||
\(982\) | −5.70442 | + | 32.3514i | −0.182035 | + | 1.03237i | ||||
\(983\) | −30.0426 | + | 25.2087i | −0.958210 | + | 0.804034i | −0.980661 | − | 0.195714i | \(-0.937298\pi\) |
0.0224508 | + | 0.999748i | \(0.492853\pi\) | |||||||
\(984\) | −2.30746 | − | 1.93619i | −0.0735590 | − | 0.0617234i | ||||
\(985\) | −6.44662 | − | 36.5606i | −0.205406 | − | 1.16492i | ||||
\(986\) | 49.2029 | + | 17.9084i | 1.56694 | + | 0.570320i | ||||
\(987\) | −5.15131 | −0.163968 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −3.56231 | −0.113275 | ||||||||
\(990\) | 4.94026 | + | 1.79811i | 0.157012 | + | 0.0571476i | ||||
\(991\) | 9.60844 | + | 54.4922i | 0.305222 | + | 1.73100i | 0.622457 | + | 0.782654i | \(0.286134\pi\) |
−0.317235 | + | 0.948347i | \(0.602754\pi\) | |||||||
\(992\) | 10.6819 | + | 8.96321i | 0.339152 | + | 0.284582i | ||||
\(993\) | 29.5241 | − | 24.7737i | 0.936920 | − | 0.786169i | ||||
\(994\) | −0.789952 | + | 4.48004i | −0.0250557 | + | 0.142098i | ||||
\(995\) | −1.70820 | + | 2.95870i | −0.0541537 | + | 0.0937970i | ||||
\(996\) | 4.97980 | + | 8.62526i | 0.157791 | + | 0.273302i | ||||
\(997\) | 31.1270 | − | 11.3293i | 0.985801 | − | 0.358802i | 0.201708 | − | 0.979446i | \(-0.435351\pi\) |
0.784093 | + | 0.620644i | \(0.213129\pi\) | |||||||
\(998\) | 54.4659 | − | 19.8240i | 1.72409 | − | 0.627517i | ||||
\(999\) | −14.9615 | − | 25.9141i | −0.473361 | − | 0.819885i |
(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 | 361.2.e.m.99.4 | 24 | ||
19.2 | odd | 18 | inner | 361.2.e.m.54.4 | 24 | ||
19.3 | odd | 18 | inner | 361.2.e.m.245.4 | 24 | ||
19.4 | even | 9 | 361.2.c.j.292.4 | 8 | |||
19.5 | even | 9 | inner | 361.2.e.m.62.4 | 24 | ||
19.6 | even | 9 | 361.2.c.j.68.4 | 8 | |||
19.7 | even | 3 | inner | 361.2.e.m.234.1 | 24 | ||
19.8 | odd | 6 | inner | 361.2.e.m.28.4 | 24 | ||
19.9 | even | 9 | 361.2.a.i.1.1 | ✓ | 4 | ||
19.10 | odd | 18 | 361.2.a.i.1.4 | yes | 4 | ||
19.11 | even | 3 | inner | 361.2.e.m.28.1 | 24 | ||
19.12 | odd | 6 | inner | 361.2.e.m.234.4 | 24 | ||
19.13 | odd | 18 | 361.2.c.j.68.1 | 8 | |||
19.14 | odd | 18 | inner | 361.2.e.m.62.1 | 24 | ||
19.15 | odd | 18 | 361.2.c.j.292.1 | 8 | |||
19.16 | even | 9 | inner | 361.2.e.m.245.1 | 24 | ||
19.17 | even | 9 | inner | 361.2.e.m.54.1 | 24 | ||
19.18 | odd | 2 | inner | 361.2.e.m.99.1 | 24 | ||
57.29 | even | 18 | 3249.2.a.bc.1.1 | 4 | |||
57.47 | odd | 18 | 3249.2.a.bc.1.4 | 4 | |||
76.47 | odd | 18 | 5776.2.a.bu.1.1 | 4 | |||
76.67 | even | 18 | 5776.2.a.bu.1.4 | 4 | |||
95.9 | even | 18 | 9025.2.a.bj.1.4 | 4 | |||
95.29 | odd | 18 | 9025.2.a.bj.1.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
361.2.a.i.1.1 | ✓ | 4 | 19.9 | even | 9 | ||
361.2.a.i.1.4 | yes | 4 | 19.10 | odd | 18 | ||
361.2.c.j.68.1 | 8 | 19.13 | odd | 18 | |||
361.2.c.j.68.4 | 8 | 19.6 | even | 9 | |||
361.2.c.j.292.1 | 8 | 19.15 | odd | 18 | |||
361.2.c.j.292.4 | 8 | 19.4 | even | 9 | |||
361.2.e.m.28.1 | 24 | 19.11 | even | 3 | inner | ||
361.2.e.m.28.4 | 24 | 19.8 | odd | 6 | inner | ||
361.2.e.m.54.1 | 24 | 19.17 | even | 9 | inner | ||
361.2.e.m.54.4 | 24 | 19.2 | odd | 18 | inner | ||
361.2.e.m.62.1 | 24 | 19.14 | odd | 18 | inner | ||
361.2.e.m.62.4 | 24 | 19.5 | even | 9 | inner | ||
361.2.e.m.99.1 | 24 | 19.18 | odd | 2 | inner | ||
361.2.e.m.99.4 | 24 | 1.1 | even | 1 | trivial | ||
361.2.e.m.234.1 | 24 | 19.7 | even | 3 | inner | ||
361.2.e.m.234.4 | 24 | 19.12 | odd | 6 | inner | ||
361.2.e.m.245.1 | 24 | 19.16 | even | 9 | inner | ||
361.2.e.m.245.4 | 24 | 19.3 | odd | 18 | inner | ||
3249.2.a.bc.1.1 | 4 | 57.29 | even | 18 | |||
3249.2.a.bc.1.4 | 4 | 57.47 | odd | 18 | |||
5776.2.a.bu.1.1 | 4 | 76.47 | odd | 18 | |||
5776.2.a.bu.1.4 | 4 | 76.67 | even | 18 | |||
9025.2.a.bj.1.1 | 4 | 95.29 | odd | 18 | |||
9025.2.a.bj.1.4 | 4 | 95.9 | even | 18 |