Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(17,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([9, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.ba (of order \(36\), degree \(12\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 207.8 | ||
Character | \(\chi\) | \(=\) | 370.207 |
Dual form | 370.2.ba.b.143.8 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{31}{36}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | 1.48063 | + | 0.690428i | 0.854841 | + | 0.398619i | 0.800089 | − | 0.599881i | \(-0.204785\pi\) |
0.0547519 | + | 0.998500i | \(0.482563\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 1.77560 | + | 1.35913i | 0.794073 | + | 0.607822i | ||||
\(6\) | 1.15520 | + | 1.15520i | 0.471606 | + | 0.471606i | ||||
\(7\) | −1.76661 | + | 1.23700i | −0.667718 | + | 0.467541i | −0.857635 | − | 0.514259i | \(-0.828067\pi\) |
0.189917 | + | 0.981800i | \(0.439178\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −0.212794 | − | 0.253598i | −0.0709313 | − | 0.0845326i | ||||
\(10\) | 1.20367 | + | 1.88446i | 0.380634 | + | 0.595918i | ||||
\(11\) | 2.81899 | − | 1.62754i | 0.849956 | − | 0.490722i | −0.0106800 | − | 0.999943i | \(-0.503400\pi\) |
0.860636 | + | 0.509221i | \(0.170066\pi\) | |||||||
\(12\) | 0.690428 | + | 1.48063i | 0.199309 | + | 0.427421i | ||||
\(13\) | −4.32434 | − | 3.62855i | −1.19936 | − | 1.00638i | −0.999648 | − | 0.0265228i | \(-0.991557\pi\) |
−0.199707 | − | 0.979856i | \(-0.563999\pi\) | |||||||
\(14\) | −2.08315 | + | 0.558179i | −0.556746 | + | 0.149180i | ||||
\(15\) | 1.69062 | + | 3.23829i | 0.436517 | + | 0.836124i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −1.72482 | − | 2.05556i | −0.418331 | − | 0.498547i | 0.515187 | − | 0.857078i | \(-0.327722\pi\) |
−0.933518 | + | 0.358531i | \(0.883278\pi\) | |||||||
\(18\) | −0.113225 | − | 0.311084i | −0.0266874 | − | 0.0733231i | ||||
\(19\) | −3.14146 | + | 6.73688i | −0.720700 | + | 1.54555i | 0.113164 | + | 0.993576i | \(0.463901\pi\) |
−0.833864 | + | 0.551970i | \(0.813876\pi\) | |||||||
\(20\) | 0.486557 | + | 2.18249i | 0.108797 | + | 0.488020i | ||||
\(21\) | −3.46976 | + | 0.611812i | −0.757163 | + | 0.133508i | ||||
\(22\) | 3.20563 | − | 0.565239i | 0.683443 | − | 0.120509i | ||||
\(23\) | 3.58815 | − | 6.21486i | 0.748182 | − | 1.29589i | −0.200512 | − | 0.979691i | \(-0.564261\pi\) |
0.948693 | − | 0.316197i | \(-0.102406\pi\) | |||||||
\(24\) | 0.142386 | + | 1.62748i | 0.0290644 | + | 0.332207i | ||||
\(25\) | 1.30552 | + | 4.82655i | 0.261105 | + | 0.965311i | ||||
\(26\) | −2.82251 | − | 4.88873i | −0.553540 | − | 0.958759i | ||||
\(27\) | −1.40847 | − | 5.25648i | −0.271060 | − | 1.01161i | ||||
\(28\) | −2.14843 | − | 0.187963i | −0.406015 | − | 0.0355217i | ||||
\(29\) | 0.575303 | − | 2.14706i | 0.106831 | − | 0.398699i | −0.891715 | − | 0.452596i | \(-0.850498\pi\) |
0.998546 | + | 0.0538977i | \(0.0171645\pi\) | |||||||
\(30\) | 0.481104 | + | 3.62123i | 0.0878372 | + | 0.661143i | ||||
\(31\) | 5.12697 | − | 5.12697i | 0.920831 | − | 0.920831i | −0.0762574 | − | 0.997088i | \(-0.524297\pi\) |
0.997088 | + | 0.0762574i | \(0.0242971\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 5.29757 | − | 0.463477i | 0.922189 | − | 0.0806810i | ||||
\(34\) | −0.917758 | − | 2.52152i | −0.157394 | − | 0.432437i | ||||
\(35\) | −4.81805 | − | 0.204648i | −0.814398 | − | 0.0345918i | ||||
\(36\) | − | 0.331048i | − | 0.0551747i | ||||||
\(37\) | 5.53353 | + | 2.52588i | 0.909706 | + | 0.415252i | ||||
\(38\) | −5.25615 | + | 5.25615i | −0.852661 | + | 0.852661i | ||||
\(39\) | −3.89748 | − | 8.35818i | −0.624097 | − | 1.33838i | ||||
\(40\) | −0.289242 | + | 2.21728i | −0.0457331 | + | 0.350583i | ||||
\(41\) | −5.34118 | + | 6.36538i | −0.834153 | + | 0.994105i | 0.165816 | + | 0.986157i | \(0.446974\pi\) |
−0.999968 | + | 0.00794794i | \(0.997470\pi\) | |||||||
\(42\) | −3.46976 | − | 0.611812i | −0.535395 | − | 0.0944046i | ||||
\(43\) | 1.92552 | 0.293639 | 0.146820 | − | 0.989163i | \(-0.453096\pi\) | ||||
0.146820 | + | 0.989163i | \(0.453096\pi\) | |||||||
\(44\) | 3.20563 | + | 0.565239i | 0.483267 | + | 0.0852130i | ||||
\(45\) | −0.0331643 | − | 0.739503i | −0.00494384 | − | 0.110239i | ||||
\(46\) | 5.49737 | − | 4.61284i | 0.810543 | − | 0.680126i | ||||
\(47\) | −3.80548 | + | 1.01967i | −0.555086 | + | 0.148735i | −0.525448 | − | 0.850826i | \(-0.676102\pi\) |
−0.0296382 | + | 0.999561i | \(0.509435\pi\) | |||||||
\(48\) | −0.422831 | + | 1.57803i | −0.0610304 | + | 0.227768i | ||||
\(49\) | −0.803375 | + | 2.20725i | −0.114768 | + | 0.315322i | ||||
\(50\) | −0.423988 | + | 4.98199i | −0.0599609 | + | 0.704560i | ||||
\(51\) | −1.13460 | − | 4.23439i | −0.158876 | − | 0.592933i | ||||
\(52\) | −0.980248 | − | 5.55926i | −0.135936 | − | 0.770931i | ||||
\(53\) | 9.47266 | + | 6.63283i | 1.30117 | + | 0.911089i | 0.999109 | − | 0.0422001i | \(-0.0134367\pi\) |
0.302060 | + | 0.953289i | \(0.402326\pi\) | |||||||
\(54\) | 0.474294 | − | 5.42120i | 0.0645432 | − | 0.737732i | ||||
\(55\) | 7.21744 | + | 0.941505i | 0.973199 | + | 0.126953i | ||||
\(56\) | −1.95458 | − | 0.911435i | −0.261192 | − | 0.121796i | ||||
\(57\) | −9.30266 | + | 7.80586i | −1.23217 | + | 1.03391i | ||||
\(58\) | 1.27495 | − | 1.82081i | 0.167408 | − | 0.239084i | ||||
\(59\) | 1.83529 | + | 1.28509i | 0.238935 | + | 0.167304i | 0.686911 | − | 0.726742i | \(-0.258966\pi\) |
−0.447976 | + | 0.894045i | \(0.647855\pi\) | |||||||
\(60\) | −0.786443 | + | 3.56739i | −0.101529 | + | 0.460548i | ||||
\(61\) | −7.75149 | + | 0.678167i | −0.992476 | + | 0.0868304i | −0.571811 | − | 0.820386i | \(-0.693759\pi\) |
−0.420665 | + | 0.907216i | \(0.638203\pi\) | |||||||
\(62\) | 6.57130 | − | 3.06425i | 0.834556 | − | 0.389160i | ||||
\(63\) | 0.689624 | + | 0.184784i | 0.0868845 | + | 0.0232806i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −2.74662 | − | 12.3202i | −0.340677 | − | 1.52813i | ||||
\(66\) | 5.13661 | + | 1.37635i | 0.632273 | + | 0.169417i | ||||
\(67\) | −8.19143 | − | 11.6986i | −1.00074 | − | 1.42921i | −0.900810 | − | 0.434213i | \(-0.857026\pi\) |
−0.0999320 | − | 0.994994i | \(-0.531863\pi\) | |||||||
\(68\) | − | 2.68335i | − | 0.325404i | ||||||
\(69\) | 9.60364 | − | 6.72454i | 1.15614 | − | 0.809539i | ||||
\(70\) | −4.45749 | − | 1.84017i | −0.532772 | − | 0.219943i | ||||
\(71\) | −6.11882 | + | 2.22707i | −0.726170 | + | 0.264304i | −0.678543 | − | 0.734561i | \(-0.737388\pi\) |
−0.0476272 | + | 0.998865i | \(0.515166\pi\) | |||||||
\(72\) | 0.113225 | − | 0.311084i | 0.0133437 | − | 0.0366616i | ||||
\(73\) | −6.62101 | − | 6.62101i | −0.774930 | − | 0.774930i | 0.204034 | − | 0.978964i | \(-0.434595\pi\) |
−0.978964 | + | 0.204034i | \(0.934595\pi\) | |||||||
\(74\) | 4.33591 | + | 4.26613i | 0.504039 | + | 0.495928i | ||||
\(75\) | −1.39939 | + | 8.04770i | −0.161588 | + | 0.929268i | ||||
\(76\) | −6.73688 | + | 3.14146i | −0.772773 | + | 0.360350i | ||||
\(77\) | −2.96680 | + | 6.36232i | −0.338098 | + | 0.725053i | ||||
\(78\) | −0.803770 | − | 9.18714i | −0.0910091 | − | 1.04024i | ||||
\(79\) | 6.34483 | + | 9.06135i | 0.713849 | + | 1.01948i | 0.998153 | + | 0.0607477i | \(0.0193485\pi\) |
−0.284304 | + | 0.958734i | \(0.591763\pi\) | |||||||
\(80\) | −1.03015 | + | 1.98464i | −0.115175 | + | 0.221889i | ||||
\(81\) | 1.37135 | − | 7.77728i | 0.152372 | − | 0.864143i | ||||
\(82\) | −7.19616 | + | 4.15470i | −0.794683 | + | 0.458810i | ||||
\(83\) | 1.09366 | − | 12.5006i | 0.120045 | − | 1.37212i | −0.662281 | − | 0.749255i | \(-0.730412\pi\) |
0.782327 | − | 0.622868i | \(-0.214033\pi\) | |||||||
\(84\) | −3.05125 | − | 1.76164i | −0.332919 | − | 0.192211i | ||||
\(85\) | −0.268817 | − | 5.99412i | −0.0291573 | − | 0.650154i | ||||
\(86\) | 1.80940 | + | 0.658567i | 0.195112 | + | 0.0710151i | ||||
\(87\) | 2.33420 | − | 2.78179i | 0.250252 | − | 0.298239i | ||||
\(88\) | 2.81899 | + | 1.62754i | 0.300505 | + | 0.173497i | ||||
\(89\) | −3.97821 | + | 5.68147i | −0.421689 | + | 0.602235i | −0.972644 | − | 0.232300i | \(-0.925375\pi\) |
0.550955 | + | 0.834535i | \(0.314264\pi\) | |||||||
\(90\) | 0.221761 | − | 0.706249i | 0.0233756 | − | 0.0744452i | ||||
\(91\) | 12.1279 | + | 1.06106i | 1.27135 | + | 0.111229i | ||||
\(92\) | 6.74352 | − | 2.45444i | 0.703061 | − | 0.255893i | ||||
\(93\) | 11.1309 | − | 4.05133i | 1.15422 | − | 0.420103i | ||||
\(94\) | −3.92473 | − | 0.343369i | −0.404805 | − | 0.0354158i | ||||
\(95\) | −14.7343 | + | 7.69236i | −1.51171 | + | 0.789219i | ||||
\(96\) | −0.937048 | + | 1.33824i | −0.0956370 | + | 0.136584i | ||||
\(97\) | −14.3185 | − | 8.26679i | −1.45382 | − | 0.839365i | −0.455127 | − | 0.890426i | \(-0.650406\pi\) |
−0.998696 | + | 0.0510615i | \(0.983740\pi\) | |||||||
\(98\) | −1.50985 | + | 1.79937i | −0.152518 | + | 0.181764i | ||||
\(99\) | −1.01260 | − | 0.368558i | −0.101770 | − | 0.0370414i | ||||
\(100\) | −2.10236 | + | 4.53653i | −0.210236 | + | 0.453653i | ||||
\(101\) | 2.21540 | + | 1.27906i | 0.220441 | + | 0.127271i | 0.606154 | − | 0.795347i | \(-0.292711\pi\) |
−0.385714 | + | 0.922619i | \(0.626045\pi\) | |||||||
\(102\) | 0.382070 | − | 4.36708i | 0.0378306 | − | 0.432405i | ||||
\(103\) | 8.21778 | − | 4.74454i | 0.809722 | − | 0.467493i | −0.0371372 | − | 0.999310i | \(-0.511824\pi\) |
0.846859 | + | 0.531817i | \(0.178491\pi\) | |||||||
\(104\) | 0.980248 | − | 5.55926i | 0.0961212 | − | 0.545130i | ||||
\(105\) | −6.99244 | − | 3.62952i | −0.682392 | − | 0.354205i | ||||
\(106\) | 6.63283 | + | 9.47266i | 0.644237 | + | 0.920066i | ||||
\(107\) | 0.466249 | + | 5.32926i | 0.0450740 | + | 0.515199i | 0.984850 | + | 0.173408i | \(0.0554779\pi\) |
−0.939776 | + | 0.341791i | \(0.888967\pi\) | |||||||
\(108\) | 2.29985 | − | 4.93204i | 0.221303 | − | 0.474586i | ||||
\(109\) | 5.48140 | − | 2.55602i | 0.525023 | − | 0.244822i | −0.141990 | − | 0.989868i | \(-0.545350\pi\) |
0.667013 | + | 0.745046i | \(0.267572\pi\) | |||||||
\(110\) | 6.46016 | + | 3.35323i | 0.615952 | + | 0.319718i | ||||
\(111\) | 6.44916 | + | 7.56040i | 0.612127 | + | 0.717601i | ||||
\(112\) | −1.52497 | − | 1.52497i | −0.144096 | − | 0.144096i | ||||
\(113\) | −4.88603 | + | 13.4243i | −0.459639 | + | 1.26285i | 0.466116 | + | 0.884724i | \(0.345653\pi\) |
−0.925755 | + | 0.378124i | \(0.876569\pi\) | |||||||
\(114\) | −11.4114 | + | 4.15341i | −1.06878 | + | 0.389003i | ||||
\(115\) | 14.8179 | − | 6.15835i | 1.38178 | − | 0.574269i | ||||
\(116\) | 1.82081 | − | 1.27495i | 0.169058 | − | 0.118376i | ||||
\(117\) | 1.86877i | 0.172768i | ||||||||
\(118\) | 1.28509 | + | 1.83529i | 0.118302 | + | 0.168952i | ||||
\(119\) | 5.58982 | + | 1.49779i | 0.512418 | + | 0.137302i | ||||
\(120\) | −1.95913 | + | 3.08327i | −0.178844 | + | 0.281463i | ||||
\(121\) | −0.202216 | + | 0.350248i | −0.0183832 | + | 0.0318407i | ||||
\(122\) | −7.51596 | − | 2.01390i | −0.680463 | − | 0.182330i | ||||
\(123\) | −12.3031 | + | 5.73705i | −1.10934 | + | 0.517292i | ||||
\(124\) | 7.22304 | − | 0.631934i | 0.648648 | − | 0.0567493i | ||||
\(125\) | −4.24183 | + | 10.3444i | −0.379401 | + | 0.925232i | ||||
\(126\) | 0.584835 | + | 0.409506i | 0.0521012 | + | 0.0364817i | ||||
\(127\) | −3.33732 | + | 4.76618i | −0.296139 | + | 0.422930i | −0.939456 | − | 0.342670i | \(-0.888669\pi\) |
0.643317 | + | 0.765600i | \(0.277558\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 2.85098 | + | 1.32943i | 0.251015 | + | 0.117050i | ||||
\(130\) | 1.63277 | − | 12.5166i | 0.143204 | − | 1.09778i | ||||
\(131\) | 0.741029 | − | 8.47000i | 0.0647440 | − | 0.740027i | −0.892557 | − | 0.450934i | \(-0.851091\pi\) |
0.957301 | − | 0.289093i | \(-0.0933536\pi\) | |||||||
\(132\) | 4.35609 | + | 3.05017i | 0.379149 | + | 0.265483i | ||||
\(133\) | −2.78375 | − | 15.7874i | −0.241382 | − | 1.36895i | ||||
\(134\) | −3.69628 | − | 13.7947i | −0.319310 | − | 1.19168i | ||||
\(135\) | 4.64337 | − | 11.2477i | 0.399637 | − | 0.968049i | ||||
\(136\) | 0.917758 | − | 2.52152i | 0.0786971 | − | 0.216219i | ||||
\(137\) | −2.38410 | + | 8.89759i | −0.203688 | + | 0.760172i | 0.786158 | + | 0.618026i | \(0.212067\pi\) |
−0.989846 | + | 0.142147i | \(0.954599\pi\) | |||||||
\(138\) | 11.3244 | − | 3.03436i | 0.963997 | − | 0.258302i | ||||
\(139\) | −6.42757 | + | 5.39337i | −0.545179 | + | 0.457460i | −0.873305 | − | 0.487175i | \(-0.838028\pi\) |
0.328126 | + | 0.944634i | \(0.393583\pi\) | |||||||
\(140\) | −3.55929 | − | 3.25375i | −0.300815 | − | 0.274992i | ||||
\(141\) | −6.33851 | − | 1.11765i | −0.533799 | − | 0.0941231i | ||||
\(142\) | −6.51151 | −0.546434 | ||||||||
\(143\) | −18.0959 | − | 3.19079i | −1.51325 | − | 0.266827i | ||||
\(144\) | 0.212794 | − | 0.253598i | 0.0177328 | − | 0.0211331i | ||||
\(145\) | 3.93964 | − | 3.03041i | 0.327170 | − | 0.251662i | ||||
\(146\) | −3.95719 | − | 8.48623i | −0.327500 | − | 0.702325i | ||||
\(147\) | −2.71345 | + | 2.71345i | −0.223802 | + | 0.223802i | ||||
\(148\) | 2.61532 | + | 5.49182i | 0.214978 | + | 0.451425i | ||||
\(149\) | 1.53713i | 0.125927i | 0.998016 | + | 0.0629634i | \(0.0200551\pi\) | ||||
−0.998016 | + | 0.0629634i | \(0.979945\pi\) | |||||||
\(150\) | −4.06748 | + | 7.08374i | −0.332108 | + | 0.578385i | ||||
\(151\) | −0.635637 | − | 1.74640i | −0.0517274 | − | 0.142120i | 0.911138 | − | 0.412101i | \(-0.135205\pi\) |
−0.962866 | + | 0.269981i | \(0.912983\pi\) | |||||||
\(152\) | −7.40504 | + | 0.647857i | −0.600628 | + | 0.0525481i | ||||
\(153\) | −0.154255 | + | 0.874822i | −0.0124708 | + | 0.0707252i | ||||
\(154\) | −4.96392 | + | 4.96392i | −0.400004 | + | 0.400004i | ||||
\(155\) | 16.0717 | − | 2.13523i | 1.29091 | − | 0.171506i | ||||
\(156\) | 2.38689 | − | 8.90799i | 0.191104 | − | 0.713210i | ||||
\(157\) | 10.1917 | + | 0.891661i | 0.813388 | + | 0.0711623i | 0.486256 | − | 0.873816i | \(-0.338362\pi\) |
0.327132 | + | 0.944979i | \(0.393918\pi\) | |||||||
\(158\) | 2.86302 | + | 10.6849i | 0.227770 | + | 0.850049i | ||||
\(159\) | 9.44599 | + | 16.3609i | 0.749116 | + | 1.29751i | ||||
\(160\) | −1.64681 | + | 1.51262i | −0.130192 | + | 0.119583i | ||||
\(161\) | 1.34888 | + | 15.4178i | 0.106307 | + | 1.21509i | ||||
\(162\) | 3.94863 | − | 6.83923i | 0.310234 | − | 0.537341i | ||||
\(163\) | −11.2274 | + | 1.97969i | −0.879395 | + | 0.155061i | −0.595077 | − | 0.803669i | \(-0.702878\pi\) |
−0.284318 | + | 0.958730i | \(0.591767\pi\) | |||||||
\(164\) | −8.18317 | + | 1.44291i | −0.638998 | + | 0.112673i | ||||
\(165\) | 10.0363 | + | 6.37714i | 0.781325 | + | 0.496460i | ||||
\(166\) | 5.30318 | − | 11.3727i | 0.411607 | − | 0.882693i | ||||
\(167\) | −1.82089 | − | 5.00286i | −0.140905 | − | 0.387133i | 0.849088 | − | 0.528252i | \(-0.177152\pi\) |
−0.989993 | + | 0.141119i | \(0.954930\pi\) | |||||||
\(168\) | −2.26472 | − | 2.69899i | −0.174727 | − | 0.208232i | ||||
\(169\) | 3.27609 | + | 18.5796i | 0.252007 | + | 1.42920i | ||||
\(170\) | 1.79750 | − | 5.72457i | 0.137862 | − | 0.439055i | ||||
\(171\) | 2.37694 | − | 0.636899i | 0.181769 | − | 0.0487049i | ||||
\(172\) | 1.47503 | + | 1.23770i | 0.112470 | + | 0.0943738i | ||||
\(173\) | 2.91286 | + | 6.24664i | 0.221460 | + | 0.474923i | 0.985376 | − | 0.170392i | \(-0.0545036\pi\) |
−0.763916 | + | 0.645316i | \(0.776726\pi\) | |||||||
\(174\) | 3.14486 | − | 1.81569i | 0.238411 | − | 0.137647i | ||||
\(175\) | −8.27679 | − | 6.91173i | −0.625666 | − | 0.522478i | ||||
\(176\) | 2.09233 | + | 2.49354i | 0.157715 | + | 0.187958i | ||||
\(177\) | 1.83013 | + | 3.16987i | 0.137561 | + | 0.238262i | ||||
\(178\) | −5.68147 | + | 3.97821i | −0.425844 | + | 0.298179i | ||||
\(179\) | 7.78665 | + | 7.78665i | 0.582002 | + | 0.582002i | 0.935453 | − | 0.353451i | \(-0.114992\pi\) |
−0.353451 | + | 0.935453i | \(0.614992\pi\) | |||||||
\(180\) | 0.449938 | − | 0.587810i | 0.0335364 | − | 0.0438128i | ||||
\(181\) | 8.37873 | + | 7.03059i | 0.622786 | + | 0.522580i | 0.898678 | − | 0.438609i | \(-0.144529\pi\) |
−0.275892 | + | 0.961189i | \(0.588973\pi\) | |||||||
\(182\) | 11.0336 | + | 5.14507i | 0.817867 | + | 0.381378i | ||||
\(183\) | −11.9453 | − | 4.34773i | −0.883022 | − | 0.321394i | ||||
\(184\) | 7.17631 | 0.529044 | ||||||||
\(185\) | 6.39233 | + | 12.0058i | 0.469974 | + | 0.882680i | ||||
\(186\) | 11.8453 | 0.868539 | ||||||||
\(187\) | −8.20776 | − | 2.98738i | −0.600211 | − | 0.218459i | ||||
\(188\) | −3.57060 | − | 1.66500i | −0.260413 | − | 0.121432i | ||||
\(189\) | 8.99047 | + | 7.54390i | 0.653961 | + | 0.548738i | ||||
\(190\) | −16.4766 | + | 2.18903i | −1.19534 | + | 0.158809i | ||||
\(191\) | 10.9509 | + | 10.9509i | 0.792377 | + | 0.792377i | 0.981880 | − | 0.189503i | \(-0.0606877\pi\) |
−0.189503 | + | 0.981880i | \(0.560688\pi\) | |||||||
\(192\) | −1.33824 | + | 0.937048i | −0.0965793 | + | 0.0676256i | ||||
\(193\) | 4.93530 | + | 8.54819i | 0.355251 | + | 0.615312i | 0.987161 | − | 0.159729i | \(-0.0510622\pi\) |
−0.631910 | + | 0.775042i | \(0.717729\pi\) | |||||||
\(194\) | −10.6276 | − | 12.6655i | −0.763015 | − | 0.909326i | ||||
\(195\) | 4.43949 | − | 20.1380i | 0.317918 | − | 1.44211i | ||||
\(196\) | −2.03422 | + | 1.17446i | −0.145301 | + | 0.0838897i | ||||
\(197\) | −6.15978 | − | 13.2097i | −0.438866 | − | 0.941151i | −0.993999 | − | 0.109389i | \(-0.965110\pi\) |
0.555133 | − | 0.831762i | \(-0.312667\pi\) | |||||||
\(198\) | −0.825482 | − | 0.692662i | −0.0586644 | − | 0.0492253i | ||||
\(199\) | 25.3051 | − | 6.78048i | 1.79383 | − | 0.480656i | 0.800843 | − | 0.598874i | \(-0.204385\pi\) |
0.992988 | + | 0.118218i | \(0.0377182\pi\) | |||||||
\(200\) | −3.52716 | + | 3.54389i | −0.249408 | + | 0.250591i | ||||
\(201\) | −4.05143 | − | 22.9768i | −0.285766 | − | 1.62066i | ||||
\(202\) | 1.64433 | + | 1.95964i | 0.115695 | + | 0.137880i | ||||
\(203\) | 1.63957 | + | 4.50467i | 0.115075 | + | 0.316166i | ||||
\(204\) | 1.85266 | − | 3.97304i | 0.129712 | − | 0.278168i | ||||
\(205\) | −18.1352 | + | 4.04300i | −1.26662 | + | 0.282375i | ||||
\(206\) | 9.34492 | − | 1.64776i | 0.651091 | − | 0.114805i | ||||
\(207\) | −2.33961 | + | 0.412537i | −0.162614 | + | 0.0286733i | ||||
\(208\) | 2.82251 | − | 4.88873i | 0.195706 | − | 0.338973i | ||||
\(209\) | 2.10883 | + | 24.1040i | 0.145871 | + | 1.66731i | ||||
\(210\) | −5.32938 | − | 5.80219i | −0.367762 | − | 0.400389i | ||||
\(211\) | 3.97258 | + | 6.88071i | 0.273484 | + | 0.473688i | 0.969751 | − | 0.244095i | \(-0.0784907\pi\) |
−0.696268 | + | 0.717782i | \(0.745157\pi\) | |||||||
\(212\) | 2.99298 | + | 11.1699i | 0.205559 | + | 0.767155i | ||||
\(213\) | −10.5973 | − | 0.927146i | −0.726117 | − | 0.0635270i | ||||
\(214\) | −1.38458 | + | 5.16733i | −0.0946480 | + | 0.353231i | ||||
\(215\) | 3.41896 | + | 2.61704i | 0.233171 | + | 0.178480i | ||||
\(216\) | 3.84801 | − | 3.84801i | 0.261824 | − | 0.261824i | ||||
\(217\) | −2.71533 | + | 15.3994i | −0.184329 | + | 1.04538i | ||||
\(218\) | 6.02504 | − | 0.527123i | 0.408067 | − | 0.0357013i | ||||
\(219\) | −5.23192 | − | 14.3746i | −0.353540 | − | 0.971344i | ||||
\(220\) | 4.92369 | + | 5.36051i | 0.331955 | + | 0.361406i | ||||
\(221\) | 15.1475i | 1.01893i | ||||||||
\(222\) | 3.47442 | + | 9.31019i | 0.233188 | + | 0.624859i | ||||
\(223\) | 11.3674 | − | 11.3674i | 0.761215 | − | 0.761215i | −0.215327 | − | 0.976542i | \(-0.569082\pi\) |
0.976542 | + | 0.215327i | \(0.0690817\pi\) | |||||||
\(224\) | −0.911435 | − | 1.95458i | −0.0608978 | − | 0.130596i | ||||
\(225\) | 0.946196 | − | 1.35814i | 0.0630797 | − | 0.0905425i | ||||
\(226\) | −9.18273 | + | 10.9435i | −0.610826 | + | 0.727954i | ||||
\(227\) | 1.32414 | + | 0.233482i | 0.0878865 | + | 0.0154968i | 0.217418 | − | 0.976078i | \(-0.430236\pi\) |
−0.129532 | + | 0.991575i | \(0.541347\pi\) | |||||||
\(228\) | −12.1438 | −0.804241 | ||||||||
\(229\) | −10.8578 | − | 1.91452i | −0.717504 | − | 0.126515i | −0.197035 | − | 0.980396i | \(-0.563131\pi\) |
−0.520468 | + | 0.853881i | \(0.674243\pi\) | |||||||
\(230\) | 16.0306 | − | 0.718920i | 1.05703 | − | 0.0474042i | ||||
\(231\) | −8.78545 | + | 7.37186i | −0.578040 | + | 0.485033i | ||||
\(232\) | 2.14706 | − | 0.575303i | 0.140961 | − | 0.0377705i | ||||
\(233\) | −4.68178 | + | 17.4727i | −0.306714 | + | 1.14467i | 0.624746 | + | 0.780828i | \(0.285202\pi\) |
−0.931460 | + | 0.363844i | \(0.881464\pi\) | |||||||
\(234\) | −0.639159 | + | 1.75607i | −0.0417831 | + | 0.114798i | ||||
\(235\) | −8.14288 | − | 3.36161i | −0.531183 | − | 0.219287i | ||||
\(236\) | 0.579878 | + | 2.16414i | 0.0377469 | + | 0.140873i | ||||
\(237\) | 3.13812 | + | 17.7971i | 0.203843 | + | 1.15605i | ||||
\(238\) | 4.74044 | + | 3.31929i | 0.307277 | + | 0.215158i | ||||
\(239\) | 1.58820 | − | 18.1532i | 0.102732 | − | 1.17423i | −0.753432 | − | 0.657526i | \(-0.771603\pi\) |
0.856164 | − | 0.516705i | \(-0.172841\pi\) | |||||||
\(240\) | −2.89552 | + | 2.22726i | −0.186905 | + | 0.143769i | ||||
\(241\) | −2.36296 | − | 1.10186i | −0.152211 | − | 0.0709773i | 0.345020 | − | 0.938595i | \(-0.387872\pi\) |
−0.497231 | + | 0.867618i | \(0.665650\pi\) | |||||||
\(242\) | −0.309812 | + | 0.259963i | −0.0199155 | + | 0.0167111i | ||||
\(243\) | −1.96394 | + | 2.80480i | −0.125987 | + | 0.179928i | ||||
\(244\) | −6.37390 | − | 4.46305i | −0.408047 | − | 0.285718i | ||||
\(245\) | −4.42642 | + | 2.82731i | −0.282794 | + | 0.180630i | ||||
\(246\) | −13.5234 | + | 1.18314i | −0.862218 | + | 0.0754343i | ||||
\(247\) | 38.0298 | − | 17.7336i | 2.41978 | − | 1.12836i | ||||
\(248\) | 7.00357 | + | 1.87660i | 0.444727 | + | 0.119164i | ||||
\(249\) | 10.2501 | − | 17.7537i | 0.649574 | − | 1.12510i | ||||
\(250\) | −7.52401 | + | 8.26978i | −0.475860 | + | 0.523027i | ||||
\(251\) | 6.62532 | + | 1.77525i | 0.418187 | + | 0.112053i | 0.461776 | − | 0.886997i | \(-0.347213\pi\) |
−0.0435889 | + | 0.999050i | \(0.513879\pi\) | |||||||
\(252\) | 0.409506 | + | 0.584835i | 0.0257964 | + | 0.0368411i | ||||
\(253\) | − | 23.3595i | − | 1.46860i | ||||||
\(254\) | −4.76618 | + | 3.33732i | −0.299057 | + | 0.209402i | ||||
\(255\) | 3.74049 | − | 9.06066i | 0.234239 | − | 0.567401i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 2.71790 | − | 7.46736i | 0.169538 | − | 0.465801i | −0.825604 | − | 0.564249i | \(-0.809166\pi\) |
0.995142 | + | 0.0984483i | \(0.0313879\pi\) | |||||||
\(258\) | 2.22435 | + | 2.22435i | 0.138482 | + | 0.138482i | ||||
\(259\) | −12.9001 | + | 2.38270i | −0.801574 | + | 0.148053i | ||||
\(260\) | 5.81524 | − | 11.2033i | 0.360646 | − | 0.694800i | ||||
\(261\) | −0.666910 | + | 0.310985i | −0.0412807 | + | 0.0192495i | ||||
\(262\) | 3.59325 | − | 7.70575i | 0.221992 | − | 0.476063i | ||||
\(263\) | 1.80326 | + | 20.6114i | 0.111194 | + | 1.27095i | 0.822783 | + | 0.568356i | \(0.192420\pi\) |
−0.711589 | + | 0.702596i | \(0.752024\pi\) | |||||||
\(264\) | 3.05017 | + | 4.35609i | 0.187725 | + | 0.268099i | ||||
\(265\) | 7.80478 | + | 24.6518i | 0.479444 | + | 1.51435i | ||||
\(266\) | 2.78375 | − | 15.7874i | 0.170683 | − | 0.967990i | ||||
\(267\) | −9.81290 | + | 5.66548i | −0.600540 | + | 0.346722i | ||||
\(268\) | 1.24470 | − | 14.2270i | 0.0760321 | − | 0.869051i | ||||
\(269\) | −15.8079 | − | 9.12667i | −0.963822 | − | 0.556463i | −0.0664748 | − | 0.997788i | \(-0.521175\pi\) |
−0.897347 | + | 0.441325i | \(0.854509\pi\) | |||||||
\(270\) | 8.21028 | − | 8.98127i | 0.499662 | − | 0.546582i | ||||
\(271\) | 10.9404 | + | 3.98197i | 0.664580 | + | 0.241887i | 0.652212 | − | 0.758036i | \(-0.273841\pi\) |
0.0123675 | + | 0.999924i | \(0.496063\pi\) | |||||||
\(272\) | 1.72482 | − | 2.05556i | 0.104583 | − | 0.124637i | ||||
\(273\) | 17.2244 | + | 9.94451i | 1.04247 | + | 0.601869i | ||||
\(274\) | −5.28348 | + | 7.54559i | −0.319187 | + | 0.455846i | ||||
\(275\) | 11.5357 | + | 11.4812i | 0.695627 | + | 0.692342i | ||||
\(276\) | 11.6793 | + | 1.02180i | 0.703009 | + | 0.0615053i | ||||
\(277\) | −9.01484 | + | 3.28113i | −0.541649 | + | 0.197144i | −0.598332 | − | 0.801248i | \(-0.704170\pi\) |
0.0566831 | + | 0.998392i | \(0.481948\pi\) | |||||||
\(278\) | −7.88458 | + | 2.86975i | −0.472886 | + | 0.172116i | ||||
\(279\) | −2.39118 | − | 0.209201i | −0.143156 | − | 0.0125245i | ||||
\(280\) | −2.23179 | − | 4.27487i | −0.133375 | − | 0.255473i | ||||
\(281\) | 5.43255 | − | 7.75849i | 0.324079 | − | 0.462833i | −0.623745 | − | 0.781628i | \(-0.714389\pi\) |
0.947823 | + | 0.318796i | \(0.103278\pi\) | |||||||
\(282\) | −5.57399 | − | 3.21815i | −0.331926 | − | 0.191638i | ||||
\(283\) | 14.2347 | − | 16.9642i | 0.846164 | − | 1.00842i | −0.153630 | − | 0.988128i | \(-0.549096\pi\) |
0.999794 | − | 0.0202905i | \(-0.00645910\pi\) | |||||||
\(284\) | −6.11882 | − | 2.22707i | −0.363085 | − | 0.132152i | ||||
\(285\) | −27.1270 | + | 1.21656i | −1.60687 | + | 0.0720627i | ||||
\(286\) | −15.9132 | − | 9.18751i | −0.940969 | − | 0.543269i | ||||
\(287\) | 1.56186 | − | 17.8522i | 0.0921940 | − | 1.05378i | ||||
\(288\) | 0.286696 | − | 0.165524i | 0.0168937 | − | 0.00975361i | ||||
\(289\) | 1.70169 | − | 9.65078i | 0.100100 | − | 0.567693i | ||||
\(290\) | 4.73852 | − | 1.50022i | 0.278255 | − | 0.0880957i | ||||
\(291\) | −15.4927 | − | 22.1259i | −0.908201 | − | 1.29705i | ||||
\(292\) | −0.816084 | − | 9.32789i | −0.0477577 | − | 0.545873i | ||||
\(293\) | −12.7902 | + | 27.4287i | −0.747212 | + | 1.60240i | 0.0500354 | + | 0.998747i | \(0.484067\pi\) |
−0.797247 | + | 0.603653i | \(0.793711\pi\) | |||||||
\(294\) | −3.47786 | + | 1.62175i | −0.202833 | + | 0.0945826i | ||||
\(295\) | 1.51215 | + | 4.77620i | 0.0880406 | + | 0.278081i | ||||
\(296\) | 0.579285 | + | 6.05512i | 0.0336703 | + | 0.351946i | ||||
\(297\) | −12.5256 | − | 12.5256i | −0.726809 | − | 0.726809i | ||||
\(298\) | −0.525730 | + | 1.44443i | −0.0304547 | + | 0.0836737i | ||||
\(299\) | −38.0673 | + | 13.8554i | −2.20149 | + | 0.801277i | ||||
\(300\) | −6.24496 | + | 5.26538i | −0.360553 | + | 0.303997i | ||||
\(301\) | −3.40165 | + | 2.38186i | −0.196068 | + | 0.137288i | ||||
\(302\) | − | 1.85848i | − | 0.106943i | ||||||
\(303\) | 2.39708 | + | 3.42339i | 0.137709 | + | 0.196669i | ||||
\(304\) | −7.18004 | − | 1.92389i | −0.411803 | − | 0.110342i | ||||
\(305\) | −14.6853 | − | 9.33113i | −0.840876 | − | 0.534299i | ||||
\(306\) | −0.444159 | + | 0.769305i | −0.0253909 | + | 0.0439783i | ||||
\(307\) | 4.63027 | + | 1.24068i | 0.264263 | + | 0.0708091i | 0.388518 | − | 0.921441i | \(-0.372987\pi\) |
−0.124254 | + | 0.992250i | \(0.539654\pi\) | |||||||
\(308\) | −6.36232 | + | 2.96680i | −0.362527 | + | 0.169049i | ||||
\(309\) | 15.4432 | − | 1.35111i | 0.878536 | − | 0.0768619i | ||||
\(310\) | 15.8327 | + | 3.49038i | 0.899239 | + | 0.198240i | ||||
\(311\) | −1.51532 | − | 1.06104i | −0.0859259 | − | 0.0601659i | 0.529824 | − | 0.848108i | \(-0.322258\pi\) |
−0.615750 | + | 0.787942i | \(0.711147\pi\) | |||||||
\(312\) | 5.28965 | − | 7.55441i | 0.299468 | − | 0.427684i | ||||
\(313\) | −10.0698 | + | 8.44954i | −0.569177 | + | 0.477596i | −0.881373 | − | 0.472421i | \(-0.843380\pi\) |
0.312196 | + | 0.950018i | \(0.398936\pi\) | |||||||
\(314\) | 9.27212 | + | 4.32366i | 0.523256 | + | 0.243998i | ||||
\(315\) | 0.973352 | + | 1.26539i | 0.0548422 | + | 0.0712969i | ||||
\(316\) | −0.964105 | + | 11.0198i | −0.0542352 | + | 0.619911i | ||||
\(317\) | −7.73183 | − | 5.41389i | −0.434263 | − | 0.304074i | 0.335928 | − | 0.941888i | \(-0.390950\pi\) |
−0.770191 | + | 0.637813i | \(0.779839\pi\) | |||||||
\(318\) | 3.28056 | + | 18.6050i | 0.183965 | + | 1.04332i | ||||
\(319\) | −1.87266 | − | 6.98886i | −0.104849 | − | 0.391301i | ||||
\(320\) | −2.06484 | + | 0.858150i | −0.115428 | + | 0.0479721i | ||||
\(321\) | −2.98913 | + | 8.21256i | −0.166837 | + | 0.458380i | ||||
\(322\) | −4.00566 | + | 14.9493i | −0.223227 | + | 0.833094i | ||||
\(323\) | 19.2665 | − | 5.16245i | 1.07202 | − | 0.287246i | ||||
\(324\) | 6.04965 | − | 5.07626i | 0.336092 | − | 0.282015i | ||||
\(325\) | 11.8679 | − | 25.6088i | 0.658311 | − | 1.42052i | ||||
\(326\) | −11.2274 | − | 1.97969i | −0.621826 | − | 0.109645i | ||||
\(327\) | 9.88066 | 0.546402 | ||||||||
\(328\) | −8.18317 | − | 1.44291i | −0.451840 | − | 0.0796716i | ||||
\(329\) | 5.46148 | − | 6.50874i | 0.301101 | − | 0.358838i | ||||
\(330\) | 7.24993 | + | 9.42517i | 0.399095 | + | 0.518839i | ||||
\(331\) | 6.07814 | + | 13.0346i | 0.334085 | + | 0.716447i | 0.999550 | − | 0.0299813i | \(-0.00954477\pi\) |
−0.665466 | + | 0.746428i | \(0.731767\pi\) | |||||||
\(332\) | 8.87305 | − | 8.87305i | 0.486972 | − | 0.486972i | ||||
\(333\) | −0.536942 | − | 1.94078i | −0.0294242 | − | 0.106354i | ||||
\(334\) | − | 5.32394i | − | 0.291313i | ||||||
\(335\) | 1.35518 | − | 31.9052i | 0.0740416 | − | 1.74317i | ||||
\(336\) | −1.20503 | − | 3.31080i | −0.0657400 | − | 0.180619i | ||||
\(337\) | 34.8751 | − | 3.05117i | 1.89977 | − | 0.166208i | 0.923618 | − | 0.383314i | \(-0.125217\pi\) |
0.976148 | + | 0.217106i | \(0.0696616\pi\) | |||||||
\(338\) | −3.27609 | + | 18.5796i | −0.178196 | + | 1.01060i | ||||
\(339\) | −16.5029 | + | 16.5029i | −0.896313 | + | 0.896313i | ||||
\(340\) | 3.64702 | − | 4.76455i | 0.197787 | − | 0.258394i | ||||
\(341\) | 6.10849 | − | 22.7972i | 0.330793 | − | 1.23454i | ||||
\(342\) | 2.45143 | + | 0.214472i | 0.132558 | + | 0.0115973i | ||||
\(343\) | −5.21837 | − | 19.4752i | −0.281765 | − | 1.05156i | ||||
\(344\) | 0.962761 | + | 1.66755i | 0.0519086 | + | 0.0899083i | ||||
\(345\) | 26.1918 | + | 1.11250i | 1.41012 | + | 0.0598951i | ||||
\(346\) | 0.600713 | + | 6.86618i | 0.0322945 | + | 0.369128i | ||||
\(347\) | 6.93808 | − | 12.0171i | 0.372455 | − | 0.645112i | −0.617487 | − | 0.786581i | \(-0.711849\pi\) |
0.989943 | + | 0.141469i | \(0.0451826\pi\) | |||||||
\(348\) | 3.57620 | − | 0.630581i | 0.191705 | − | 0.0338027i | ||||
\(349\) | 21.8940 | − | 3.86050i | 1.17196 | − | 0.206648i | 0.446417 | − | 0.894825i | \(-0.352700\pi\) |
0.725543 | + | 0.688177i | \(0.241589\pi\) | |||||||
\(350\) | −5.41368 | − | 9.32573i | −0.289374 | − | 0.498481i | ||||
\(351\) | −12.9827 | + | 27.8415i | −0.692965 | + | 1.48607i | ||||
\(352\) | 1.11330 | + | 3.05878i | 0.0593393 | + | 0.163033i | ||||
\(353\) | 3.07021 | + | 3.65894i | 0.163411 | + | 0.194746i | 0.841536 | − | 0.540201i | \(-0.181652\pi\) |
−0.678125 | + | 0.734946i | \(0.737207\pi\) | |||||||
\(354\) | 0.635596 | + | 3.60464i | 0.0337816 | + | 0.191585i | ||||
\(355\) | −13.8915 | − | 4.36189i | −0.737282 | − | 0.231505i | ||||
\(356\) | −6.69947 | + | 1.79512i | −0.355071 | + | 0.0951410i | ||||
\(357\) | 7.24233 | + | 6.07704i | 0.383305 | + | 0.321631i | ||||
\(358\) | 4.65387 | + | 9.98025i | 0.245965 | + | 0.527473i | ||||
\(359\) | −18.6416 | + | 10.7627i | −0.983865 | + | 0.568035i | −0.903435 | − | 0.428726i | \(-0.858963\pi\) |
−0.0804300 | + | 0.996760i | \(0.525629\pi\) | |||||||
\(360\) | 0.623847 | − | 0.398473i | 0.0328796 | − | 0.0210014i | ||||
\(361\) | −23.3038 | − | 27.7724i | −1.22652 | − | 1.46171i | ||||
\(362\) | 5.46883 | + | 9.47229i | 0.287435 | + | 0.497852i | ||||
\(363\) | −0.541227 | + | 0.378971i | −0.0284070 | + | 0.0198908i | ||||
\(364\) | 8.60851 | + | 8.60851i | 0.451208 | + | 0.451208i | ||||
\(365\) | −2.75745 | − | 20.7551i | −0.144332 | − | 1.08637i | ||||
\(366\) | −9.73789 | − | 8.17106i | −0.509008 | − | 0.427108i | ||||
\(367\) | −17.2062 | − | 8.02338i | −0.898156 | − | 0.418817i | −0.0819892 | − | 0.996633i | \(-0.526127\pi\) |
−0.816167 | + | 0.577816i | \(0.803905\pi\) | |||||||
\(368\) | 6.74352 | + | 2.45444i | 0.351530 | + | 0.127947i | ||||
\(369\) | 2.75082 | 0.143202 | ||||||||
\(370\) | 1.90062 | + | 13.4680i | 0.0988085 | + | 0.700169i | ||||
\(371\) | −24.9393 | −1.29479 | ||||||||
\(372\) | 11.1309 | + | 4.05133i | 0.577112 | + | 0.210052i | ||||
\(373\) | 8.64616 | + | 4.03177i | 0.447681 | + | 0.208757i | 0.633366 | − | 0.773852i | \(-0.281673\pi\) |
−0.185685 | + | 0.982609i | \(0.559450\pi\) | |||||||
\(374\) | −6.69103 | − | 5.61444i | −0.345985 | − | 0.290316i | ||||
\(375\) | −13.4227 | + | 12.3876i | −0.693143 | + | 0.639690i | ||||
\(376\) | −2.78580 | − | 2.78580i | −0.143667 | − | 0.143667i | ||||
\(377\) | −10.2785 | + | 7.19709i | −0.529370 | + | 0.370669i | ||||
\(378\) | 5.86812 | + | 10.1639i | 0.301823 | + | 0.522773i | ||||
\(379\) | −11.9289 | − | 14.2163i | −0.612747 | − | 0.730243i | 0.367059 | − | 0.930198i | \(-0.380365\pi\) |
−0.979805 | + | 0.199955i | \(0.935920\pi\) | |||||||
\(380\) | −16.2317 | − | 3.57833i | −0.832667 | − | 0.183564i | ||||
\(381\) | −8.23204 | + | 4.75277i | −0.421740 | + | 0.243492i | ||||
\(382\) | 6.54503 | + | 14.0359i | 0.334873 | + | 0.718138i | ||||
\(383\) | −10.8772 | − | 9.12706i | −0.555800 | − | 0.466371i | 0.321100 | − | 0.947045i | \(-0.395948\pi\) |
−0.876899 | + | 0.480674i | \(0.840392\pi\) | |||||||
\(384\) | −1.57803 | + | 0.422831i | −0.0805283 | + | 0.0215775i | ||||
\(385\) | −13.9151 | + | 7.26467i | −0.709178 | + | 0.370242i | ||||
\(386\) | 1.71401 | + | 9.72064i | 0.0872409 | + | 0.494768i | ||||
\(387\) | −0.409739 | − | 0.488308i | −0.0208282 | − | 0.0248221i | ||||
\(388\) | −5.65481 | − | 15.5365i | −0.287080 | − | 0.788745i | ||||
\(389\) | 11.1260 | − | 23.8598i | 0.564111 | − | 1.20974i | −0.392871 | − | 0.919594i | \(-0.628518\pi\) |
0.956982 | − | 0.290147i | \(-0.0937041\pi\) | |||||||
\(390\) | 11.0593 | − | 17.4051i | 0.560012 | − | 0.881343i | ||||
\(391\) | −18.9640 | + | 3.34386i | −0.959049 | + | 0.169106i | ||||
\(392\) | −2.31323 | + | 0.407884i | −0.116836 | + | 0.0206013i | ||||
\(393\) | 6.94511 | − | 12.0293i | 0.350335 | − | 0.606797i | ||||
\(394\) | −1.27032 | − | 14.5198i | −0.0639977 | − | 0.731497i | ||||
\(395\) | −1.04968 | + | 24.7128i | −0.0528153 | + | 1.24344i | ||||
\(396\) | −0.538795 | − | 0.933220i | −0.0270755 | − | 0.0468961i | ||||
\(397\) | −6.07219 | − | 22.6617i | −0.304755 | − | 1.13736i | −0.933156 | − | 0.359471i | \(-0.882957\pi\) |
0.628402 | − | 0.777889i | \(-0.283709\pi\) | |||||||
\(398\) | 26.0981 | + | 2.28329i | 1.30818 | + | 0.114451i | ||||
\(399\) | 6.77840 | − | 25.2973i | 0.339344 | − | 1.26645i | ||||
\(400\) | −4.52652 | + | 2.12381i | −0.226326 | + | 0.106191i | ||||
\(401\) | 8.10232 | − | 8.10232i | 0.404611 | − | 0.404611i | −0.475244 | − | 0.879854i | \(-0.657640\pi\) |
0.879854 | + | 0.475244i | \(0.157640\pi\) | |||||||
\(402\) | 4.05143 | − | 22.9768i | 0.202067 | − | 1.14598i | ||||
\(403\) | −40.7742 | + | 3.56728i | −2.03111 | + | 0.177699i | ||||
\(404\) | 0.874930 | + | 2.40385i | 0.0435294 | + | 0.119596i | ||||
\(405\) | 13.0053 | − | 11.9455i | 0.646239 | − | 0.593578i | ||||
\(406\) | 4.79377i | 0.237911i | ||||||||
\(407\) | 19.7099 | − | 1.88562i | 0.976984 | − | 0.0934668i | ||||
\(408\) | 3.09979 | − | 3.09979i | 0.153462 | − | 0.153462i | ||||
\(409\) | −1.81884 | − | 3.90052i | −0.0899359 | − | 0.192868i | 0.856195 | − | 0.516653i | \(-0.172822\pi\) |
−0.946131 | + | 0.323785i | \(0.895045\pi\) | |||||||
\(410\) | −18.4243 | − | 2.40343i | −0.909911 | − | 0.118697i | ||||
\(411\) | −9.67312 | + | 11.5280i | −0.477140 | + | 0.568633i | ||||
\(412\) | 9.34492 | + | 1.64776i | 0.460391 | + | 0.0811794i | ||||
\(413\) | −4.83190 | −0.237762 | ||||||||
\(414\) | −2.33961 | − | 0.412537i | −0.114986 | − | 0.0202751i | ||||
\(415\) | 18.9319 | − | 20.7097i | 0.929332 | − | 1.01660i | ||||
\(416\) | 4.32434 | − | 3.62855i | 0.212018 | − | 0.177904i | ||||
\(417\) | −13.2406 | + | 3.54780i | −0.648394 | + | 0.173737i | ||||
\(418\) | −6.26241 | + | 23.3716i | −0.306304 | + | 1.14314i | ||||
\(419\) | 0.155965 | − | 0.428509i | 0.00761937 | − | 0.0209340i | −0.935825 | − | 0.352466i | \(-0.885343\pi\) |
0.943444 | + | 0.331532i | \(0.107565\pi\) | |||||||
\(420\) | −3.02351 | − | 7.27503i | −0.147532 | − | 0.354985i | ||||
\(421\) | 1.88314 | + | 7.02798i | 0.0917787 | + | 0.342523i | 0.996511 | − | 0.0834570i | \(-0.0265961\pi\) |
−0.904733 | + | 0.425980i | \(0.859929\pi\) | |||||||
\(422\) | 1.37966 | + | 7.82445i | 0.0671609 | + | 0.380888i | ||||
\(423\) | 1.06837 | + | 0.748080i | 0.0519459 | + | 0.0363729i | ||||
\(424\) | −1.00787 | + | 11.5200i | −0.0489464 | + | 0.559459i | ||||
\(425\) | 7.66949 | − | 11.0085i | 0.372025 | − | 0.533992i | ||||
\(426\) | −9.64112 | − | 4.49573i | −0.467114 | − | 0.217819i | ||||
\(427\) | 12.8550 | − | 10.7866i | 0.622097 | − | 0.522001i | ||||
\(428\) | −3.06841 | + | 4.38215i | −0.148317 | + | 0.211819i | ||||
\(429\) | −24.5902 | − | 17.2183i | −1.18723 | − | 0.831306i | ||||
\(430\) | 2.31769 | + | 3.62856i | 0.111769 | + | 0.174985i | ||||
\(431\) | 5.42467 | − | 0.474598i | 0.261297 | − | 0.0228606i | 0.0442457 | − | 0.999021i | \(-0.485912\pi\) |
0.217052 | + | 0.976160i | \(0.430356\pi\) | |||||||
\(432\) | 4.93204 | − | 2.29985i | 0.237293 | − | 0.110652i | ||||
\(433\) | −14.7219 | − | 3.94471i | −0.707487 | − | 0.189571i | −0.112905 | − | 0.993606i | \(-0.536016\pi\) |
−0.594582 | + | 0.804035i | \(0.702682\pi\) | |||||||
\(434\) | −7.81849 | + | 13.5420i | −0.375300 | + | 0.650038i | ||||
\(435\) | 7.92543 | − | 1.76687i | 0.379995 | − | 0.0847149i | ||||
\(436\) | 5.84197 | + | 1.56535i | 0.279780 | + | 0.0749668i | ||||
\(437\) | 30.5967 | + | 43.6967i | 1.46364 | + | 2.09030i | ||||
\(438\) | − | 15.2971i | − | 0.730924i | ||||||
\(439\) | 27.6402 | − | 19.3539i | 1.31920 | − | 0.923711i | 0.319481 | − | 0.947593i | \(-0.396491\pi\) |
0.999715 | + | 0.0238815i | \(0.00760245\pi\) | |||||||
\(440\) | 2.79335 | + | 6.72124i | 0.133168 | + | 0.320422i | ||||
\(441\) | 0.730708 | − | 0.265956i | 0.0347956 | − | 0.0126646i | ||||
\(442\) | −5.18077 | + | 14.2340i | −0.246424 | + | 0.677044i | ||||
\(443\) | −4.88464 | − | 4.88464i | −0.232076 | − | 0.232076i | 0.581483 | − | 0.813559i | \(-0.302473\pi\) |
−0.813559 | + | 0.581483i | \(0.802473\pi\) | |||||||
\(444\) | 0.0806108 | + | 9.93704i | 0.00382562 | + | 0.471591i | ||||
\(445\) | −14.7856 | + | 4.68112i | −0.700904 | + | 0.221906i | ||||
\(446\) | 14.5697 | − | 6.79396i | 0.689895 | − | 0.321703i | ||||
\(447\) | −1.06128 | + | 2.27592i | −0.0501968 | + | 0.107647i | ||||
\(448\) | −0.187963 | − | 2.14843i | −0.00888044 | − | 0.101504i | ||||
\(449\) | −16.9949 | − | 24.2712i | −0.802039 | − | 1.14543i | −0.986688 | − | 0.162625i | \(-0.948004\pi\) |
0.184649 | − | 0.982804i | \(-0.440885\pi\) | |||||||
\(450\) | 1.35364 | − | 0.952614i | 0.0638114 | − | 0.0449067i | ||||
\(451\) | −4.69680 | + | 26.6369i | −0.221164 | + | 1.25428i | ||||
\(452\) | −12.3719 | + | 7.14289i | −0.581923 | + | 0.335974i | ||||
\(453\) | 0.264621 | − | 3.02463i | 0.0124330 | − | 0.142110i | ||||
\(454\) | 1.16443 | + | 0.672285i | 0.0546495 | + | 0.0315519i | ||||
\(455\) | 20.0923 | + | 18.3675i | 0.941941 | + | 0.861081i | ||||
\(456\) | −11.4114 | − | 4.15341i | −0.534388 | − | 0.194501i | ||||
\(457\) | −8.43136 | + | 10.0481i | −0.394402 | + | 0.470030i | −0.926305 | − | 0.376775i | \(-0.877033\pi\) |
0.531902 | + | 0.846806i | \(0.321477\pi\) | |||||||
\(458\) | −9.54819 | − | 5.51265i | −0.446158 | − | 0.257589i | ||||
\(459\) | −8.37566 | + | 11.9617i | −0.390943 | + | 0.558324i | ||||
\(460\) | 15.3097 | + | 4.80722i | 0.713819 | + | 0.224138i | ||||
\(461\) | −14.2682 | − | 1.24830i | −0.664535 | − | 0.0581393i | −0.250103 | − | 0.968219i | \(-0.580464\pi\) |
−0.414433 | + | 0.910080i | \(0.636020\pi\) | |||||||
\(462\) | −10.7769 | + | 3.92249i | −0.501389 | + | 0.182491i | ||||
\(463\) | 19.1873 | − | 6.98362i | 0.891711 | − | 0.324556i | 0.144785 | − | 0.989463i | \(-0.453751\pi\) |
0.746926 | + | 0.664907i | \(0.231529\pi\) | |||||||
\(464\) | 2.21434 | + | 0.193730i | 0.102798 | + | 0.00899367i | ||||
\(465\) | 25.2704 | + | 7.93486i | 1.17189 | + | 0.367970i | ||||
\(466\) | −10.3754 | + | 14.8177i | −0.480633 | + | 0.686415i | ||||
\(467\) | 4.86153 | + | 2.80681i | 0.224965 | + | 0.129884i | 0.608247 | − | 0.793748i | \(-0.291873\pi\) |
−0.383282 | + | 0.923631i | \(0.625206\pi\) | |||||||
\(468\) | −1.20123 | + | 1.43156i | −0.0555267 | + | 0.0661741i | ||||
\(469\) | 28.9422 | + | 10.5341i | 1.33643 | + | 0.486419i | ||||
\(470\) | −6.50207 | − | 5.94391i | −0.299918 | − | 0.274172i | ||||
\(471\) | 14.4745 | + | 8.35687i | 0.666951 | + | 0.385064i | ||||
\(472\) | −0.195271 | + | 2.23195i | −0.00898805 | + | 0.102734i | ||||
\(473\) | 5.42802 | − | 3.13387i | 0.249580 | − | 0.144095i | ||||
\(474\) | −3.13812 | + | 17.7971i | −0.144138 | + | 0.817450i | ||||
\(475\) | −36.6171 | − | 6.36726i | −1.68011 | − | 0.292150i | ||||
\(476\) | 3.31929 | + | 4.74044i | 0.152139 | + | 0.217278i | ||||
\(477\) | −0.333653 | − | 3.81367i | −0.0152769 | − | 0.174616i | ||||
\(478\) | 7.70116 | − | 16.5152i | 0.352243 | − | 0.755388i | ||||
\(479\) | −14.0792 | + | 6.56523i | −0.643294 | + | 0.299973i | −0.716755 | − | 0.697325i | \(-0.754373\pi\) |
0.0734610 | + | 0.997298i | \(0.476596\pi\) | |||||||
\(480\) | −3.48267 | + | 1.10262i | −0.158961 | + | 0.0503273i | ||||
\(481\) | −14.7635 | − | 31.0014i | −0.673160 | − | 1.41354i | ||||
\(482\) | −1.84359 | − | 1.84359i | −0.0839733 | − | 0.0839733i | ||||
\(483\) | −8.64769 | + | 23.7593i | −0.393484 | + | 1.08109i | ||||
\(484\) | −0.380041 | + | 0.138324i | −0.0172746 | + | 0.00628743i | ||||
\(485\) | −14.1883 | − | 34.1392i | −0.644257 | − | 1.55018i | ||||
\(486\) | −2.80480 | + | 1.96394i | −0.127228 | + | 0.0890862i | ||||
\(487\) | 6.66481i | 0.302012i | 0.988533 | + | 0.151006i | \(0.0482512\pi\) | ||||
−0.988533 | + | 0.151006i | \(0.951749\pi\) | |||||||
\(488\) | −4.46305 | − | 6.37390i | −0.202033 | − | 0.288533i | ||||
\(489\) | −17.9904 | − | 4.82051i | −0.813553 | − | 0.217991i | ||||
\(490\) | −5.12647 | + | 1.14288i | −0.231590 | + | 0.0516300i | ||||
\(491\) | −12.4603 | + | 21.5819i | −0.562327 | + | 0.973979i | 0.434966 | + | 0.900447i | \(0.356760\pi\) |
−0.997293 | + | 0.0735319i | \(0.976573\pi\) | |||||||
\(492\) | −13.1125 | − | 3.51347i | −0.591155 | − | 0.158400i | ||||
\(493\) | −5.40571 | + | 2.52072i | −0.243461 | + | 0.113528i | ||||
\(494\) | 41.8016 | − | 3.65717i | 1.88074 | − | 0.164544i | ||||
\(495\) | −1.29706 | − | 2.03067i | −0.0582986 | − | 0.0912720i | ||||
\(496\) | 5.93937 | + | 4.15879i | 0.266685 | + | 0.186735i | ||||
\(497\) | 8.05472 | − | 11.5033i | 0.361303 | − | 0.515995i | ||||
\(498\) | 15.7041 | − | 13.1773i | 0.703716 | − | 0.590488i | ||||
\(499\) | 27.6146 | + | 12.8769i | 1.23620 | + | 0.576449i | 0.927184 | − | 0.374607i | \(-0.122222\pi\) |
0.309016 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(500\) | −9.89869 | + | 5.19768i | −0.442683 | + | 0.232447i | ||||
\(501\) | 0.758052 | − | 8.66458i | 0.0338673 | − | 0.387105i | ||||
\(502\) | 5.61860 | + | 3.93418i | 0.250770 | + | 0.175591i | ||||
\(503\) | 1.28041 | + | 7.26155i | 0.0570905 | + | 0.323776i | 0.999956 | − | 0.00939765i | \(-0.00299141\pi\) |
−0.942865 | + | 0.333174i | \(0.891880\pi\) | |||||||
\(504\) | 0.184784 | + | 0.689624i | 0.00823095 | + | 0.0307183i | ||||
\(505\) | 2.19526 | + | 5.28213i | 0.0976876 | + | 0.235052i | ||||
\(506\) | 7.98941 | − | 21.9507i | 0.355173 | − | 0.975829i | ||||
\(507\) | −7.97723 | + | 29.7714i | −0.354281 | + | 1.32220i | ||||
\(508\) | −5.62018 | + | 1.50592i | −0.249355 | + | 0.0668145i | ||||
\(509\) | −23.1483 | + | 19.4238i | −1.02603 | + | 0.860943i | −0.990373 | − | 0.138421i | \(-0.955797\pi\) |
−0.0356582 | + | 0.999364i | \(0.511353\pi\) | |||||||
\(510\) | 6.61384 | − | 7.23491i | 0.292866 | − | 0.320367i | ||||
\(511\) | 19.8869 | + | 3.50660i | 0.879746 | + | 0.155123i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 39.8369 | + | 7.02432i | 1.75884 | + | 0.310131i | ||||
\(514\) | 5.10797 | − | 6.08745i | 0.225303 | − | 0.268506i | ||||
\(515\) | 21.0400 | + | 2.74464i | 0.927132 | + | 0.120943i | ||||
\(516\) | 1.32943 | + | 2.85098i | 0.0585251 | + | 0.125507i | ||||
\(517\) | −9.06802 | + | 9.06802i | −0.398811 | + | 0.398811i | ||||
\(518\) | −12.9371 | − | 2.17310i | −0.568423 | − | 0.0954805i | ||||
\(519\) | 11.2601i | 0.494262i | ||||||||
\(520\) | 9.29629 | − | 8.53875i | 0.407669 | − | 0.374449i | ||||
\(521\) | −0.128336 | − | 0.352600i | −0.00562250 | − | 0.0154477i | 0.936850 | − | 0.349732i | \(-0.113728\pi\) |
−0.942472 | + | 0.334285i | \(0.891505\pi\) | |||||||
\(522\) | −0.733054 | + | 0.0641339i | −0.0320849 | + | 0.00280706i | ||||
\(523\) | 0.703326 | − | 3.98876i | 0.0307543 | − | 0.174416i | −0.965562 | − | 0.260174i | \(-0.916220\pi\) |
0.996316 | + | 0.0857578i | \(0.0273311\pi\) | |||||||
\(524\) | 6.01207 | − | 6.01207i | 0.262638 | − | 0.262638i | ||||
\(525\) | −7.48279 | − | 15.9482i | −0.326576 | − | 0.696038i | ||||
\(526\) | −5.35499 | + | 19.9851i | −0.233489 | + | 0.871392i | ||||
\(527\) | −19.3819 | − | 1.69570i | −0.844289 | − | 0.0738657i | ||||
\(528\) | 1.37635 | + | 5.13661i | 0.0598979 | + | 0.223542i | ||||
\(529\) | −14.2497 | − | 24.6812i | −0.619551 | − | 1.07309i | ||||
\(530\) | −1.09733 | + | 25.8345i | −0.0476650 | + | 1.12218i | ||||
\(531\) | −0.0646440 | − | 0.738884i | −0.00280531 | − | 0.0320648i | ||||
\(532\) | 8.01550 | − | 13.8832i | 0.347516 | − | 0.601915i | ||||
\(533\) | 46.1942 | − | 8.14528i | 2.00089 | − | 0.352811i | ||||
\(534\) | −11.1588 | + | 1.96760i | −0.482889 | + | 0.0851464i | ||||
\(535\) | −6.41529 | + | 10.0963i | −0.277357 | + | 0.436502i | ||||
\(536\) | 6.03555 | − | 12.9433i | 0.260696 | − | 0.559064i | ||||
\(537\) | 6.15301 | + | 16.9053i | 0.265522 | + | 0.729516i | ||||
\(538\) | −11.7330 | − | 13.9829i | −0.505846 | − | 0.602844i | ||||
\(539\) | 1.32770 | + | 7.52974i | 0.0571879 | + | 0.324329i | ||||
\(540\) | 10.7869 | − | 5.63155i | 0.464195 | − | 0.242343i | ||||
\(541\) | 6.68419 | − | 1.79102i | 0.287376 | − | 0.0770021i | −0.112252 | − | 0.993680i | \(-0.535806\pi\) |
0.399627 | + | 0.916678i | \(0.369140\pi\) | |||||||
\(542\) | 8.91867 | + | 7.48365i | 0.383090 | + | 0.321450i | ||||
\(543\) | 7.55167 | + | 16.1946i | 0.324073 | + | 0.694977i | ||||
\(544\) | 2.32385 | − | 1.34167i | 0.0996341 | − | 0.0575238i | ||||
\(545\) | 13.2067 | + | 2.91147i | 0.565715 | + | 0.124714i | ||||
\(546\) | 12.7844 | + | 15.2359i | 0.547122 | + | 0.652035i | ||||
\(547\) | 5.54515 | + | 9.60448i | 0.237093 | + | 0.410658i | 0.959879 | − | 0.280414i | \(-0.0904719\pi\) |
−0.722786 | + | 0.691072i | \(0.757139\pi\) | |||||||
\(548\) | −7.54559 | + | 5.28348i | −0.322332 | + | 0.225699i | ||||
\(549\) | 1.82145 | + | 1.82145i | 0.0777376 | + | 0.0777376i | ||||
\(550\) | 6.91318 | + | 14.7342i | 0.294779 | + | 0.628269i | ||||
\(551\) | 12.6572 | + | 10.6206i | 0.539214 | + | 0.452454i | ||||
\(552\) | 10.6254 | + | 4.95472i | 0.452249 | + | 0.210887i | ||||
\(553\) | −22.4177 | − | 8.15939i | −0.953299 | − | 0.346972i | ||||
\(554\) | −9.59339 | −0.407584 | ||||||||
\(555\) | 1.17556 | + | 22.1895i | 0.0498997 | + | 0.941892i | ||||
\(556\) | −8.39059 | −0.355840 | ||||||||
\(557\) | 23.6737 | + | 8.61652i | 1.00309 | + | 0.365094i | 0.790774 | − | 0.612108i | \(-0.209678\pi\) |
0.212313 | + | 0.977202i | \(0.431901\pi\) | |||||||
\(558\) | −2.17542 | − | 1.01441i | −0.0920928 | − | 0.0429436i | ||||
\(559\) | −8.32660 | − | 6.98685i | −0.352178 | − | 0.295512i | ||||
\(560\) | −0.635106 | − | 4.78039i | −0.0268381 | − | 0.202008i | ||||
\(561\) | −10.0901 | − | 10.0901i | −0.426003 | − | 0.426003i | ||||
\(562\) | 7.75849 | − | 5.43255i | 0.327272 | − | 0.229158i | ||||
\(563\) | −13.0982 | − | 22.6868i | −0.552024 | − | 0.956133i | −0.998128 | − | 0.0611522i | \(-0.980522\pi\) |
0.446105 | − | 0.894981i | \(-0.352811\pi\) | |||||||
\(564\) | −4.13717 | − | 4.93049i | −0.174206 | − | 0.207611i | ||||
\(565\) | −26.9210 | + | 17.1954i | −1.13257 | + | 0.723415i | ||||
\(566\) | 19.1783 | − | 11.0726i | 0.806125 | − | 0.465417i | ||||
\(567\) | 7.19784 | + | 15.4358i | 0.302281 | + | 0.648243i | ||||
\(568\) | −4.98811 | − | 4.18552i | −0.209296 | − | 0.175620i | ||||
\(569\) | 37.1193 | − | 9.94609i | 1.55612 | − | 0.416962i | 0.624690 | − | 0.780873i | \(-0.285225\pi\) |
0.931434 | + | 0.363911i | \(0.118559\pi\) | |||||||
\(570\) | −25.9071 | − | 8.13480i | −1.08513 | − | 0.340729i | ||||
\(571\) | −0.672894 | − | 3.81617i | −0.0281598 | − | 0.159702i | 0.967485 | − | 0.252927i | \(-0.0813934\pi\) |
−0.995645 | + | 0.0932255i | \(0.970282\pi\) | |||||||
\(572\) | −11.8112 | − | 14.0761i | −0.493852 | − | 0.588550i | ||||
\(573\) | 8.65338 | + | 23.7750i | 0.361500 | + | 0.993213i | ||||
\(574\) | 7.57348 | − | 16.2414i | 0.316111 | − | 0.677902i | ||||
\(575\) | 34.6808 | + | 9.20476i | 1.44629 | + | 0.383865i | ||||
\(576\) | 0.326019 | − | 0.0574859i | 0.0135841 | − | 0.00239525i | ||||
\(577\) | 18.1814 | − | 3.20587i | 0.756900 | − | 0.133462i | 0.218136 | − | 0.975918i | \(-0.430002\pi\) |
0.538764 | + | 0.842456i | \(0.318891\pi\) | |||||||
\(578\) | 4.89983 | − | 8.48675i | 0.203806 | − | 0.353002i | ||||
\(579\) | 1.40543 | + | 16.0642i | 0.0584078 | + | 0.667604i | ||||
\(580\) | 4.96585 | + | 0.210926i | 0.206196 | + | 0.00875822i | ||||
\(581\) | 13.5312 | + | 23.4367i | 0.561368 | + | 0.972317i | ||||
\(582\) | −6.99090 | − | 26.0904i | −0.289782 | − | 1.08148i | ||||
\(583\) | 37.4985 | + | 3.28069i | 1.55303 | + | 0.135872i | ||||
\(584\) | 2.42346 | − | 9.04446i | 0.100283 | − | 0.374263i | ||||
\(585\) | −2.53991 | + | 3.31820i | −0.105012 | + | 0.137191i | ||||
\(586\) | −21.4000 | + | 21.4000i | −0.884027 | + | 0.884027i | ||||
\(587\) | −3.07072 | + | 17.4149i | −0.126742 | + | 0.718791i | 0.853516 | + | 0.521067i | \(0.174466\pi\) |
−0.980258 | + | 0.197724i | \(0.936645\pi\) | |||||||
\(588\) | −3.82280 | + | 0.334451i | −0.157649 | + | 0.0137925i | ||||
\(589\) | 18.4336 | + | 50.6459i | 0.759544 | + | 2.08683i | ||||
\(590\) | −0.212604 | + | 5.00535i | −0.00875275 | + | 0.206067i | ||||
\(591\) | − | 23.8115i | − | 0.979475i | ||||||
\(592\) | −1.52662 | + | 5.88807i | −0.0627438 | + | 0.241998i | ||||
\(593\) | −32.8202 | + | 32.8202i | −1.34776 | + | 1.34776i | −0.459675 | + | 0.888087i | \(0.652034\pi\) |
−0.888087 | + | 0.459675i | \(0.847966\pi\) | |||||||
\(594\) | −7.48620 | − | 16.0542i | −0.307163 | − | 0.658713i | ||||
\(595\) | 7.88960 | + | 10.2568i | 0.323442 | + | 0.420487i | ||||
\(596\) | −0.988049 | + | 1.17751i | −0.0404721 | + | 0.0482327i | ||||
\(597\) | 42.1489 | + | 7.43199i | 1.72504 | + | 0.304171i | ||||
\(598\) | −40.5104 | −1.65659 | ||||||||
\(599\) | −6.49221 | − | 1.14475i | −0.265265 | − | 0.0467733i | 0.0394338 | − | 0.999222i | \(-0.487445\pi\) |
−0.304698 | + | 0.952449i | \(0.598556\pi\) | |||||||
\(600\) | −7.66921 | + | 2.81194i | −0.313094 | + | 0.114797i | ||||
\(601\) | 24.7689 | − | 20.7836i | 1.01034 | − | 0.847780i | 0.0219610 | − | 0.999759i | \(-0.493009\pi\) |
0.988384 | + | 0.151979i | \(0.0485646\pi\) | |||||||
\(602\) | −4.01115 | + | 1.07479i | −0.163482 | + | 0.0438050i | ||||
\(603\) | −1.22365 | + | 4.56671i | −0.0498307 | + | 0.185971i | ||||
\(604\) | 0.635637 | − | 1.74640i | 0.0258637 | − | 0.0710600i | ||||
\(605\) | −0.835087 | + | 0.347063i | −0.0339511 | + | 0.0141101i | ||||
\(606\) | 1.08165 | + | 4.03679i | 0.0439392 | + | 0.163983i | ||||
\(607\) | 1.35378 | + | 7.67767i | 0.0549483 | + | 0.311627i | 0.999878 | − | 0.0156474i | \(-0.00498093\pi\) |
−0.944929 | + | 0.327275i | \(0.893870\pi\) | |||||||
\(608\) | −6.08902 | − | 4.26358i | −0.246942 | − | 0.172911i | ||||
\(609\) | −0.682565 | + | 7.80175i | −0.0276589 | + | 0.316143i | ||||
\(610\) | −10.6082 | − | 13.7911i | −0.429514 | − | 0.558384i | ||||
\(611\) | 20.1561 | + | 9.39895i | 0.815429 | + | 0.380241i | ||||
\(612\) | −0.680491 | + | 0.570999i | −0.0275072 | + | 0.0230813i | ||||
\(613\) | 5.22617 | − | 7.46374i | 0.211083 | − | 0.301458i | −0.699624 | − | 0.714512i | \(-0.746649\pi\) |
0.910707 | + | 0.413054i | \(0.135538\pi\) | |||||||
\(614\) | 3.92669 | + | 2.74950i | 0.158468 | + | 0.110961i | ||||
\(615\) | −29.6429 | − | 6.53488i | −1.19532 | − | 0.263512i | ||||
\(616\) | −6.99333 | + | 0.611837i | −0.281769 | + | 0.0246516i | ||||
\(617\) | 16.3581 | − | 7.62791i | 0.658553 | − | 0.307088i | −0.0644626 | − | 0.997920i | \(-0.520533\pi\) |
0.723015 | + | 0.690832i | \(0.242756\pi\) | |||||||
\(618\) | 14.9740 | + | 4.01227i | 0.602343 | + | 0.161397i | ||||
\(619\) | −12.8889 | + | 22.3242i | −0.518049 | + | 0.897287i | 0.481731 | + | 0.876319i | \(0.340008\pi\) |
−0.999780 | + | 0.0209681i | \(0.993325\pi\) | |||||||
\(620\) | 13.6841 | + | 8.69500i | 0.549567 | + | 0.349199i | ||||
\(621\) | −37.7221 | − | 10.1076i | −1.51374 | − | 0.405604i | ||||
\(622\) | −1.06104 | − | 1.51532i | −0.0425437 | − | 0.0607588i | ||||
\(623\) | − | 14.9580i | − | 0.599280i | ||||||
\(624\) | 7.55441 | − | 5.28965i | 0.302418 | − | 0.211756i | ||||
\(625\) | −21.5912 | + | 12.6024i | −0.863649 | + | 0.504094i | ||||
\(626\) | −12.3524 | + | 4.49591i | −0.493701 | + | 0.179693i | ||||
\(627\) | −13.5197 | + | 37.1451i | −0.539925 | + | 1.48343i | ||||
\(628\) | 7.23417 | + | 7.23417i | 0.288675 | + | 0.288675i | ||||
\(629\) | −4.35224 | − | 15.7312i | −0.173535 | − | 0.627244i | ||||
\(630\) | 0.481862 | + | 1.52199i | 0.0191978 | + | 0.0606374i | ||||
\(631\) | 31.7911 | − | 14.8244i | 1.26559 | − | 0.590152i | 0.330243 | − | 0.943896i | \(-0.392869\pi\) |
0.935342 | + | 0.353744i | \(0.115092\pi\) | |||||||
\(632\) | −4.67495 | + | 10.0255i | −0.185959 | + | 0.398791i | ||||
\(633\) | 1.13128 | + | 12.9306i | 0.0449642 | + | 0.513943i | ||||
\(634\) | −5.41389 | − | 7.73183i | −0.215013 | − | 0.307070i | ||||
\(635\) | −12.4036 | + | 3.92699i | −0.492223 | + | 0.155838i | ||||
\(636\) | −3.28056 | + | 18.6050i | −0.130083 | + | 0.737735i | ||||
\(637\) | 11.4832 | − | 6.62982i | 0.454981 | − | 0.262683i | ||||
\(638\) | 0.630606 | − | 7.20786i | 0.0249659 | − | 0.285362i | ||||
\(639\) | 1.86683 | + | 1.07781i | 0.0738505 | + | 0.0426376i | ||||
\(640\) | −2.23382 | + | 0.100180i | −0.0882996 | + | 0.00395995i | ||||
\(641\) | −20.5924 | − | 7.49501i | −0.813350 | − | 0.296035i | −0.0983429 | − | 0.995153i | \(-0.531354\pi\) |
−0.715007 | + | 0.699118i | \(0.753576\pi\) | |||||||
\(642\) | −5.61772 | + | 6.69494i | −0.221714 | + | 0.264228i | ||||
\(643\) | 12.5798 | + | 7.26295i | 0.496099 | + | 0.286423i | 0.727101 | − | 0.686530i | \(-0.240867\pi\) |
−0.231002 | + | 0.972953i | \(0.574200\pi\) | |||||||
\(644\) | −8.87707 | + | 12.6778i | −0.349806 | + | 0.499574i | ||||
\(645\) | 3.25533 | + | 6.23540i | 0.128179 | + | 0.245519i | ||||
\(646\) | 19.8703 | + | 1.73842i | 0.781786 | + | 0.0683974i | ||||
\(647\) | 17.2182 | − | 6.26692i | 0.676918 | − | 0.246378i | 0.0193945 | − | 0.999812i | \(-0.493826\pi\) |
0.657524 | + | 0.753434i | \(0.271604\pi\) | |||||||
\(648\) | 7.42100 | − | 2.70102i | 0.291524 | − | 0.106106i | ||||
\(649\) | 7.26519 | + | 0.635622i | 0.285184 | + | 0.0249503i | ||||
\(650\) | 19.9109 | − | 20.0053i | 0.780968 | − | 0.784674i | ||||
\(651\) | −14.6526 | + | 20.9261i | −0.574281 | + | 0.820158i | ||||
\(652\) | −9.87318 | − | 5.70028i | −0.386663 | − | 0.223240i | ||||
\(653\) | 6.53467 | − | 7.78772i | 0.255721 | − | 0.304757i | −0.622876 | − | 0.782321i | \(-0.714036\pi\) |
0.878597 | + | 0.477564i | \(0.158480\pi\) | |||||||
\(654\) | 9.28479 | + | 3.37939i | 0.363064 | + | 0.132144i | ||||
\(655\) | 12.8276 | − | 14.0322i | 0.501216 | − | 0.548283i | ||||
\(656\) | −7.19616 | − | 4.15470i | −0.280963 | − | 0.162214i | ||||
\(657\) | −0.270163 | + | 3.08798i | −0.0105401 | + | 0.120474i | ||||
\(658\) | 7.35823 | − | 4.24828i | 0.286854 | − | 0.165615i | ||||
\(659\) | 1.12962 | − | 6.40639i | 0.0440037 | − | 0.249558i | −0.954869 | − | 0.297027i | \(-0.904005\pi\) |
0.998873 | + | 0.0474699i | \(0.0151158\pi\) | |||||||
\(660\) | 3.58910 | + | 11.3364i | 0.139706 | + | 0.441268i | ||||
\(661\) | −19.0464 | − | 27.2011i | −0.740820 | − | 1.05800i | −0.995845 | − | 0.0910659i | \(-0.970973\pi\) |
0.255025 | − | 0.966934i | \(-0.417916\pi\) | |||||||
\(662\) | 1.25348 | + | 14.3274i | 0.0487180 | + | 0.556849i | ||||
\(663\) | −10.4583 | + | 22.4279i | −0.406166 | + | 0.871027i | ||||
\(664\) | 11.3727 | − | 5.30318i | 0.441347 | − | 0.205803i | ||||
\(665\) | 16.5144 | − | 31.8157i | 0.640400 | − | 1.23376i | ||||
\(666\) | 0.159226 | − | 2.00738i | 0.00616989 | − | 0.0777845i | ||||
\(667\) | −11.2794 | − | 11.2794i | −0.436740 | − | 0.436740i | ||||
\(668\) | 1.82089 | − | 5.00286i | 0.0704525 | − | 0.193567i | ||||
\(669\) | 24.6792 | − | 8.98249i | 0.954153 | − | 0.347283i | ||||
\(670\) | 12.1857 | − | 29.5176i | 0.470774 | − | 1.14036i | ||||
\(671\) | −20.7476 | + | 14.5276i | −0.800951 | + | 0.560832i | ||||
\(672\) | − | 3.52328i | − | 0.135914i | ||||||
\(673\) | −5.89702 | − | 8.42182i | −0.227313 | − | 0.324637i | 0.689252 | − | 0.724521i | \(-0.257939\pi\) |
−0.916566 | + | 0.399884i | \(0.869050\pi\) | |||||||
\(674\) | 33.8154 | + | 9.06081i | 1.30252 | + | 0.349009i | ||||
\(675\) | 23.5319 | − | 13.6605i | 0.905743 | − | 0.525793i | ||||
\(676\) | −9.43313 | + | 16.3387i | −0.362813 | + | 0.628410i | ||||
\(677\) | −36.6916 | − | 9.83150i | −1.41017 | − | 0.377855i | −0.528187 | − | 0.849128i | \(-0.677128\pi\) |
−0.881987 | + | 0.471273i | \(0.843795\pi\) | |||||||
\(678\) | −21.1519 | + | 9.86331i | −0.812336 | + | 0.378798i | ||||
\(679\) | 35.5213 | − | 3.10771i | 1.36318 | − | 0.119263i | ||||
\(680\) | 5.05665 | − | 3.22986i | 0.193914 | − | 0.123860i | ||||
\(681\) | 1.79936 | + | 1.25993i | 0.0689517 | + | 0.0482805i | ||||
\(682\) | 13.5372 | − | 19.3331i | 0.518367 | − | 0.740304i | ||||
\(683\) | 12.7048 | − | 10.6606i | 0.486135 | − | 0.407916i | −0.366504 | − | 0.930417i | \(-0.619445\pi\) |
0.852639 | + | 0.522501i | \(0.175001\pi\) | |||||||
\(684\) | 2.23023 | + | 1.03997i | 0.0852751 | + | 0.0397644i | ||||
\(685\) | −16.3262 | + | 12.5583i | −0.623792 | + | 0.479827i | ||||
\(686\) | 1.75725 | − | 20.0855i | 0.0670922 | − | 0.766868i | ||||
\(687\) | −14.7545 | − | 10.3312i | −0.562920 | − | 0.394161i | ||||
\(688\) | 0.334363 | + | 1.89627i | 0.0127475 | + | 0.0722945i | ||||
\(689\) | −16.8954 | − | 63.0546i | −0.643664 | − | 2.40219i | ||||
\(690\) | 24.2317 | + | 10.0035i | 0.922486 | + | 0.380828i | ||||
\(691\) | −13.0662 | + | 35.8990i | −0.497061 | + | 1.36566i | 0.397041 | + | 0.917801i | \(0.370037\pi\) |
−0.894102 | + | 0.447863i | \(0.852185\pi\) | |||||||
\(692\) | −1.78389 | + | 6.65755i | −0.0678132 | + | 0.253082i | ||||
\(693\) | 2.24479 | − | 0.601488i | 0.0852723 | − | 0.0228487i | ||||
\(694\) | 10.6297 | − | 8.91942i | 0.403500 | − | 0.338576i | ||||
\(695\) | −18.7431 | + | 0.840567i | −0.710966 | + | 0.0318845i | ||||
\(696\) | 3.57620 | + | 0.630581i | 0.135556 | + | 0.0239021i | ||||
\(697\) | 22.2970 | 0.844560 | ||||||||
\(698\) | 21.8940 | + | 3.86050i | 0.828700 | + | 0.146122i | ||||
\(699\) | −18.9956 | + | 22.6381i | −0.718480 | + | 0.856251i | ||||
\(700\) | −1.89761 | − | 10.6149i | −0.0717230 | − | 0.401206i | ||||
\(701\) | −8.70593 | − | 18.6699i | −0.328819 | − | 0.705154i | 0.670506 | − | 0.741904i | \(-0.266077\pi\) |
−0.999324 | + | 0.0367505i | \(0.988299\pi\) | |||||||
\(702\) | −21.7221 | + | 21.7221i | −0.819848 | + | 0.819848i | ||||
\(703\) | −34.3999 | + | 29.3437i | −1.29742 | + | 1.10672i | ||||
\(704\) | 3.25508i | 0.122681i | ||||||||
\(705\) | −9.73563 | − | 10.5994i | −0.366665 | − | 0.399195i | ||||
\(706\) | 1.63363 | + | 4.48835i | 0.0614823 | + | 0.168921i | ||||
\(707\) | −5.49596 | + | 0.480834i | −0.206697 | + | 0.0180836i | ||||
\(708\) | −0.635596 | + | 3.60464i | −0.0238872 | + | 0.135471i | ||||
\(709\) | −14.7742 | + | 14.7742i | −0.554858 | + | 0.554858i | −0.927839 | − | 0.372981i | \(-0.878336\pi\) |
0.372981 | + | 0.927839i | \(0.378336\pi\) | |||||||
\(710\) | −11.5618 | − | 8.85000i | −0.433908 | − | 0.332134i | ||||
\(711\) | 0.947799 | − | 3.53723i | 0.0355452 | − | 0.132657i | ||||
\(712\) | −6.90941 | − | 0.604495i | −0.258941 | − | 0.0226544i | ||||
\(713\) | −13.4671 | − | 50.2598i | −0.504345 | − | 1.88224i | ||||
\(714\) | 4.72710 | + | 8.18757i | 0.176907 | + | 0.306412i | ||||
\(715\) | −27.7943 | − | 30.2602i | −1.03945 | − | 1.13167i | ||||
\(716\) | 0.959758 | + | 10.9701i | 0.0358678 | + | 0.409971i | ||||
\(717\) | 14.8850 | − | 25.7816i | 0.555890 | − | 0.962830i | ||||
\(718\) | −21.1984 | + | 3.73785i | −0.791118 | + | 0.139495i | ||||
\(719\) | −13.0642 | + | 2.30356i | −0.487211 | + | 0.0859085i | −0.411857 | − | 0.911248i | \(-0.635120\pi\) |
−0.0753539 | + | 0.997157i | \(0.524009\pi\) | |||||||
\(720\) | 0.722510 | − | 0.161074i | 0.0269263 | − | 0.00600287i | ||||
\(721\) | −8.64868 | + | 18.5471i | −0.322094 | + | 0.690732i | ||||
\(722\) | −12.3997 | − | 34.0679i | −0.461469 | − | 1.26788i | ||||
\(723\) | −2.73790 | − | 3.26290i | −0.101824 | − | 0.121349i | ||||
\(724\) | 1.89930 | + | 10.7715i | 0.0705871 | + | 0.400319i | ||||
\(725\) | 11.1140 | − | 0.0263060i | 0.412762 | − | 0.000976982i | ||||
\(726\) | −0.638203 | + | 0.171006i | −0.0236859 | + | 0.00634662i | ||||
\(727\) | −2.24892 | − | 1.88707i | −0.0834078 | − | 0.0699874i | 0.600130 | − | 0.799902i | \(-0.295115\pi\) |
−0.683538 | + | 0.729915i | \(0.739560\pi\) | |||||||
\(728\) | 5.14507 | + | 11.0336i | 0.190689 | + | 0.408934i | ||||
\(729\) | −25.3621 | + | 14.6428i | −0.939336 | + | 0.542326i | ||||
\(730\) | 4.50750 | − | 20.4465i | 0.166830 | − | 0.756759i | ||||
\(731\) | −3.32118 | − | 3.95803i | −0.122838 | − | 0.146393i | ||||
\(732\) | −6.35596 | − | 11.0088i | −0.234923 | − | 0.406899i | ||||
\(733\) | −21.2152 | + | 14.8551i | −0.783603 | + | 0.548685i | −0.895514 | − | 0.445034i | \(-0.853192\pi\) |
0.111911 | + | 0.993718i | \(0.464303\pi\) | |||||||
\(734\) | −13.4244 | − | 13.4244i | −0.495503 | − | 0.495503i | ||||
\(735\) | −8.50594 | + | 1.13007i | −0.313746 | + | 0.0416833i | ||||
\(736\) | 5.49737 | + | 4.61284i | 0.202636 | + | 0.170032i | ||||
\(737\) | −42.1314 | − | 19.6462i | −1.55193 | − | 0.723677i | ||||
\(738\) | 2.58492 | + | 0.940835i | 0.0951523 | + | 0.0346326i | ||||
\(739\) | −30.9166 | −1.13729 | −0.568643 | − | 0.822585i | \(-0.692531\pi\) | ||||
−0.568643 | + | 0.822585i | \(0.692531\pi\) | |||||||
\(740\) | −2.82034 | + | 13.3059i | −0.103678 | + | 0.489133i | ||||
\(741\) | 68.5518 | 2.51831 | ||||||||
\(742\) | −23.4353 | − | 8.52975i | −0.860337 | − | 0.313137i | ||||
\(743\) | −4.45120 | − | 2.07563i | −0.163299 | − | 0.0761474i | 0.339250 | − | 0.940696i | \(-0.389827\pi\) |
−0.502549 | + | 0.864549i | \(0.667604\pi\) | |||||||
\(744\) | 9.07403 | + | 7.61401i | 0.332670 | + | 0.279143i | ||||
\(745\) | −2.08916 | + | 2.72933i | −0.0765411 | + | 0.0999951i | ||||
\(746\) | 6.74579 | + | 6.74579i | 0.246981 | + | 0.246981i | ||||
\(747\) | −3.40286 | + | 2.38271i | −0.124504 | + | 0.0871787i | ||||
\(748\) | −4.36726 | − | 7.56431i | −0.159683 | − | 0.276579i | ||||
\(749\) | −7.41596 | − | 8.83799i | −0.270973 | − | 0.322933i | ||||
\(750\) | −16.8500 | + | 7.04967i | −0.615273 | + | 0.257418i | ||||
\(751\) | 17.7096 | − | 10.2247i | 0.646234 | − | 0.373103i | −0.140778 | − | 0.990041i | \(-0.544960\pi\) |
0.787012 | + | 0.616938i | \(0.211627\pi\) | |||||||
\(752\) | −1.66500 | − | 3.57060i | −0.0607162 | − | 0.130206i | ||||
\(753\) | 8.58396 | + | 7.20280i | 0.312817 | + | 0.262485i | ||||
\(754\) | −12.1202 | + | 3.24760i | −0.441391 | + | 0.118270i | ||||
\(755\) | 1.24495 | − | 3.96482i | 0.0453083 | − | 0.144295i | ||||
\(756\) | 2.03798 | + | 11.5579i | 0.0741204 | + | 0.420358i | ||||
\(757\) | −19.2717 | − | 22.9671i | −0.700442 | − | 0.834754i | 0.292135 | − | 0.956377i | \(-0.405634\pi\) |
−0.992576 | + | 0.121623i | \(0.961190\pi\) | |||||||
\(758\) | −6.34724 | − | 17.4389i | −0.230542 | − | 0.633409i | ||||
\(759\) | 16.1280 | − | 34.5867i | 0.585411 | − | 1.25542i | ||||
\(760\) | −14.0289 | − | 8.91408i | −0.508882 | − | 0.323348i | ||||
\(761\) | 42.3702 | − | 7.47102i | 1.53592 | − | 0.270824i | 0.659253 | − | 0.751921i | \(-0.270873\pi\) |
0.876667 | + | 0.481097i | \(0.159762\pi\) | |||||||
\(762\) | −9.36113 | + | 1.65062i | −0.339118 | + | 0.0597956i | ||||
\(763\) | −6.52173 | + | 11.2960i | −0.236103 | + | 0.408942i | ||||
\(764\) | 1.34977 | + | 15.4279i | 0.0488329 | + | 0.558163i | ||||
\(765\) | −1.46289 | + | 1.34368i | −0.0528910 | + | 0.0485810i | ||||
\(766\) | −7.09960 | − | 12.2969i | −0.256519 | − | 0.444304i | ||||
\(767\) | −3.27343 | − | 12.2166i | −0.118197 | − | 0.441115i | ||||
\(768\) | −1.62748 | − | 0.142386i | −0.0587265 | − | 0.00513790i | ||||
\(769\) | −0.525088 | + | 1.95965i | −0.0189352 | + | 0.0706670i | −0.974747 | − | 0.223312i | \(-0.928313\pi\) |
0.955812 | + | 0.293979i | \(0.0949797\pi\) | |||||||
\(770\) | −15.5606 | + | 2.06732i | −0.560763 | + | 0.0745012i | ||||
\(771\) | 9.17987 | − | 9.17987i | 0.330605 | − | 0.330605i | ||||
\(772\) | −1.71401 | + | 9.72064i | −0.0616886 | + | 0.349854i | ||||
\(773\) | −25.5334 | + | 2.23388i | −0.918371 | + | 0.0803470i | −0.536530 | − | 0.843881i | \(-0.680265\pi\) |
−0.381841 | + | 0.924228i | \(0.624710\pi\) | |||||||
\(774\) | −0.218018 | − | 0.598998i | −0.00783648 | − | 0.0215305i | ||||
\(775\) | 31.4390 | + | 18.0522i | 1.12932 | + | 0.648454i | ||||
\(776\) | − | 16.5336i | − | 0.593521i | ||||||
\(777\) | −20.7454 | − | 5.37872i | −0.744236 | − | 0.192961i | ||||
\(778\) | 18.6156 | − | 18.6156i | 0.667400 | − | 0.667400i | ||||
\(779\) | −26.1037 | − | 55.9795i | −0.935261 | − | 2.00567i | ||||
\(780\) | 16.3453 | − | 12.5729i | 0.585255 | − | 0.450184i | ||||
\(781\) | −13.6242 | + | 16.2367i | −0.487512 | + | 0.580995i | ||||
\(782\) | −18.9640 | − | 3.34386i | −0.678150 | − | 0.119576i | ||||
\(783\) | −12.0963 | −0.432285 | ||||||||
\(784\) | −2.31323 | − | 0.407884i | −0.0826152 | − | 0.0145673i | ||||
\(785\) | 16.8846 | + | 15.4351i | 0.602636 | + | 0.550903i | ||||
\(786\) | 10.6405 | − | 8.92847i | 0.379535 | − | 0.318468i | ||||
\(787\) | 5.00468 | − | 1.34100i | 0.178397 | − | 0.0478015i | −0.168514 | − | 0.985699i | \(-0.553897\pi\) |
0.346912 | + | 0.937898i | \(0.387230\pi\) | |||||||
\(788\) | 3.77236 | − | 14.0786i | 0.134385 | − | 0.501531i | ||||
\(789\) | −11.5607 | + | 31.7628i | −0.411572 | + | 1.13079i | ||||
\(790\) | −9.43866 | + | 22.8634i | −0.335812 | + | 0.813444i | ||||
\(791\) | −7.97403 | − | 29.7595i | −0.283524 | − | 1.05813i | ||||
\(792\) | −0.187122 | − | 1.06122i | −0.00664908 | − | 0.0377088i | ||||
\(793\) | 35.9808 | + | 25.1940i | 1.27772 | + | 0.894666i | ||||
\(794\) | 2.04477 | − | 23.3719i | 0.0725663 | − | 0.829437i | ||||
\(795\) | −5.46435 | + | 41.8889i | −0.193800 | + | 1.48564i | ||||
\(796\) | 23.7432 | + | 11.0717i | 0.841557 | + | 0.392424i | ||||
\(797\) | 33.5923 | − | 28.1873i | 1.18990 | − | 0.998444i | 0.190038 | − | 0.981777i | \(-0.439139\pi\) |
0.999861 | − | 0.0166672i | \(-0.00530559\pi\) | |||||||
\(798\) | 15.0218 | − | 21.4534i | 0.531766 | − | 0.759441i | ||||
\(799\) | 8.65977 | + | 6.06364i | 0.306361 | + | 0.214516i | ||||
\(800\) | −4.97993 | + | 0.447567i | −0.176067 | + | 0.0158239i | ||||
\(801\) | 2.28735 | − | 0.200117i | 0.0808194 | − | 0.00707079i | ||||
\(802\) | 10.3849 | − | 4.84254i | 0.366702 | − | 0.170996i | ||||
\(803\) | −29.4405 | − | 7.88856i | −1.03893 | − | 0.278381i | ||||
\(804\) | 11.6656 | − | 20.2055i | 0.411415 | − | 0.712592i | ||||
\(805\) | −18.5597 | + | 29.2092i | −0.654145 | + | 1.02949i | ||||
\(806\) | −39.5353 | − | 10.5935i | −1.39257 | − | 0.373138i | ||||
\(807\) | −17.1042 | − | 24.4274i | −0.602098 | − | 0.859885i | ||||
\(808\) | 2.55812i | 0.0899945i | ||||||||
\(809\) | −38.4487 | + | 26.9221i | −1.35178 | + | 0.946529i | −0.351838 | + | 0.936061i | \(0.614443\pi\) |
−0.999945 | + | 0.0104681i | \(0.996668\pi\) | |||||||
\(810\) | 16.3066 | − | 6.77704i | 0.572956 | − | 0.238121i | ||||
\(811\) | 8.27149 | − | 3.01057i | 0.290451 | − | 0.105716i | −0.192685 | − | 0.981261i | \(-0.561720\pi\) |
0.483137 | + | 0.875545i | \(0.339497\pi\) | |||||||
\(812\) | −1.63957 | + | 4.50467i | −0.0575375 | + | 0.158083i | ||||
\(813\) | 13.4494 | + | 13.4494i | 0.471689 | + | 0.471689i | ||||
\(814\) | 19.1662 | + | 4.96928i | 0.671774 | + | 0.174173i | ||||
\(815\) | −22.6260 | − | 11.7443i | −0.792554 | − | 0.411386i | ||||
\(816\) | 3.97304 | − | 1.85266i | 0.139084 | − | 0.0648560i | ||||
\(817\) | −6.04894 | + | 12.9720i | −0.211626 | + | 0.453833i | ||||
\(818\) | −0.375096 | − | 4.28737i | −0.0131149 | − | 0.149904i | ||||
\(819\) | −2.31167 | − | 3.30141i | −0.0807763 | − | 0.115360i | ||||
\(820\) | −16.4912 | − | 8.55996i | −0.575896 | − | 0.298927i | ||||
\(821\) | 3.77176 | − | 21.3907i | 0.131635 | − | 0.746542i | −0.845508 | − | 0.533962i | \(-0.820702\pi\) |
0.977144 | − | 0.212579i | \(-0.0681864\pi\) | |||||||
\(822\) | −13.0326 | + | 7.52435i | −0.454563 | + | 0.262442i | ||||
\(823\) | −1.45933 | + | 16.6803i | −0.0508692 | + | 0.581438i | 0.927396 | + | 0.374081i | \(0.122042\pi\) |
−0.978265 | + | 0.207357i | \(0.933514\pi\) | |||||||
\(824\) | 8.21778 | + | 4.74454i | 0.286280 | + | 0.165284i | ||||
\(825\) | 9.15310 | + | 24.9639i | 0.318670 | + | 0.869132i | ||||
\(826\) | −4.54050 | − | 1.65261i | −0.157984 | − | 0.0575016i | ||||
\(827\) | 11.3501 | − | 13.5265i | 0.394682 | − | 0.470364i | −0.531709 | − | 0.846927i | \(-0.678450\pi\) |
0.926391 | + | 0.376564i | \(0.122894\pi\) | |||||||
\(828\) | −2.05742 | − | 1.18785i | −0.0715003 | − | 0.0412807i | ||||
\(829\) | −19.1398 | + | 27.3345i | −0.664753 | + | 0.949366i | 0.335220 | + | 0.942140i | \(0.391189\pi\) |
−0.999974 | + | 0.00722656i | \(0.997700\pi\) | |||||||
\(830\) | 24.8733 | − | 12.9857i | 0.863366 | − | 0.450739i | ||||
\(831\) | −15.6130 | − | 1.36596i | −0.541609 | − | 0.0473847i | ||||
\(832\) | 5.30458 | − | 1.93071i | 0.183903 | − | 0.0669354i | ||||
\(833\) | 5.92283 | − | 2.15573i | 0.205214 | − | 0.0746917i | ||||
\(834\) | −13.6555 | − | 1.19470i | −0.472851 | − | 0.0413691i | ||||
\(835\) | 3.56637 | − | 11.3579i | 0.123419 | − | 0.393057i | ||||
\(836\) | −13.8783 | + | 19.8203i | −0.479991 | + | 0.685499i | ||||
\(837\) | −34.1710 | − | 19.7286i | −1.18112 | − | 0.681921i | ||||
\(838\) | 0.293118 | − | 0.349324i | 0.0101256 | − | 0.0120672i | ||||
\(839\) | −3.94621 | − | 1.43630i | −0.136238 | − | 0.0495867i | 0.273001 | − | 0.962014i | \(-0.411984\pi\) |
−0.409239 | + | 0.912427i | \(0.634206\pi\) | |||||||
\(840\) | −0.352961 | − | 7.87039i | −0.0121783 | − | 0.271554i | ||||
\(841\) | 20.8358 | + | 12.0296i | 0.718478 | + | 0.414813i | ||||
\(842\) | −0.634136 | + | 7.24821i | −0.0218538 | + | 0.249790i | ||||
\(843\) | 13.4003 | − | 7.73665i | 0.461530 | − | 0.266464i | ||||
\(844\) | −1.37966 | + | 7.82445i | −0.0474899 | + | 0.269329i | ||||
\(845\) | −19.4351 | + | 37.4427i | −0.668589 | + | 1.28807i | ||||
\(846\) | 0.748080 | + | 1.06837i | 0.0257195 | + | 0.0367313i | ||||
\(847\) | −0.0760182 | − | 0.868893i | −0.00261202 | − | 0.0298555i | ||||
\(848\) | −4.88715 | + | 10.4805i | −0.167825 | + | 0.359903i | ||||
\(849\) | 32.7889 | − | 15.2897i | 1.12531 | − | 0.524741i | ||||
\(850\) | 10.9721 | − | 7.72151i | 0.376340 | − | 0.264846i | ||||
\(851\) | 35.5532 | − | 25.3269i | 1.21875 | − | 0.868194i | ||||
\(852\) | −7.52206 | − | 7.52206i | −0.257702 | − | 0.257702i | ||||
\(853\) | 7.73366 | − | 21.2480i | 0.264795 | − | 0.727519i | −0.734032 | − | 0.679114i | \(-0.762364\pi\) |
0.998828 | − | 0.0484048i | \(-0.0154138\pi\) | |||||||
\(854\) | 15.7690 | − | 5.73944i | 0.539604 | − | 0.196400i | ||||
\(855\) | 5.08613 | + | 2.09970i | 0.173942 | + | 0.0718081i | ||||
\(856\) | −4.38215 | + | 3.06841i | −0.149779 | + | 0.104876i | ||||
\(857\) | 15.2501i | 0.520934i | 0.965483 | + | 0.260467i | \(0.0838766\pi\) | ||||
−0.965483 | + | 0.260467i | \(0.916123\pi\) | |||||||
\(858\) | −17.2183 | − | 24.5902i | −0.587822 | − | 0.839497i | ||||
\(859\) | 47.1135 | + | 12.6240i | 1.60749 | + | 0.430726i | 0.947294 | − | 0.320365i | \(-0.103806\pi\) |
0.660198 | + | 0.751092i | \(0.270472\pi\) | |||||||
\(860\) | 0.936876 | + | 4.20243i | 0.0319472 | + | 0.143302i | ||||
\(861\) | 14.6382 | − | 25.3541i | 0.498869 | − | 0.864066i | ||||
\(862\) | 5.25985 | + | 1.40937i | 0.179151 | + | 0.0480034i | ||||
\(863\) | 34.5542 | − | 16.1129i | 1.17624 | − | 0.548489i | 0.266566 | − | 0.963817i | \(-0.414111\pi\) |
0.909672 | + | 0.415328i | \(0.136333\pi\) | |||||||
\(864\) | 5.42120 | − | 0.474294i | 0.184433 | − | 0.0161358i | ||||
\(865\) | −3.31793 | + | 15.0505i | −0.112813 | + | 0.511732i | ||||
\(866\) | −12.4848 | − | 8.74199i | −0.424252 | − | 0.297065i | ||||
\(867\) | 9.18274 | − | 13.1143i | 0.311862 | − | 0.445385i | ||||
\(868\) | −11.9786 | + | 10.0513i | −0.406581 | + | 0.341162i | ||||
\(869\) | 32.6337 | + | 15.2173i | 1.10702 | + | 0.516213i | ||||
\(870\) | 8.05177 | + | 1.05034i | 0.272981 | + | 0.0356100i | ||||
\(871\) | −7.02635 | + | 80.3115i | −0.238079 | + | 2.72125i | ||||
\(872\) | 4.95428 | + | 3.46902i | 0.167773 | + | 0.117476i | ||||
\(873\) | 0.950448 | + | 5.39026i | 0.0321678 | + | 0.182433i | ||||
\(874\) | 13.8064 | + | 51.5262i | 0.467008 | + | 1.74290i | ||||
\(875\) | −5.30233 | − | 23.5217i | −0.179251 | − | 0.795179i | ||||
\(876\) | 5.23192 | − | 14.3746i | 0.176770 | − | 0.485672i | ||||
\(877\) | 7.65276 | − | 28.5605i | 0.258415 | − | 0.964419i | −0.707743 | − | 0.706470i | \(-0.750287\pi\) |
0.966158 | − | 0.257949i | \(-0.0830467\pi\) | |||||||
\(878\) | 32.5927 | − | 8.73320i | 1.09995 | − | 0.294731i | ||||
\(879\) | −37.8751 | + | 31.7810i | −1.27749 | + | 1.07195i | ||||
\(880\) | 0.326093 | + | 7.27128i | 0.0109926 | + | 0.245115i | ||||
\(881\) | 36.8528 | + | 6.49815i | 1.24160 | + | 0.218928i | 0.755603 | − | 0.655030i | \(-0.227344\pi\) |
0.486001 | + | 0.873958i | \(0.338455\pi\) | |||||||
\(882\) | 0.777603 | 0.0261833 | ||||||||
\(883\) | −44.3196 | − | 7.81474i | −1.49147 | − | 0.262987i | −0.632321 | − | 0.774707i | \(-0.717898\pi\) |
−0.859152 | + | 0.511720i | \(0.829009\pi\) | |||||||
\(884\) | −9.73665 | + | 11.6037i | −0.327479 | + | 0.390274i | ||||
\(885\) | −1.05870 | + | 8.11581i | −0.0355877 | + | 0.272810i | ||||
\(886\) | −2.91942 | − | 6.26071i | −0.0980797 | − | 0.210333i | ||||
\(887\) | 15.2268 | − | 15.2268i | 0.511265 | − | 0.511265i | −0.403649 | − | 0.914914i | \(-0.632258\pi\) |
0.914914 | + | 0.403649i | \(0.132258\pi\) | |||||||
\(888\) | −3.32292 | + | 9.36533i | −0.111510 | + | 0.314280i | ||||
\(889\) | − | 12.5483i | − | 0.420855i | ||||||
\(890\) | −15.4949 | − | 0.658152i | −0.519392 | − | 0.0220613i | ||||
\(891\) | −8.79205 | − | 24.1560i | −0.294545 | − | 0.809255i | ||||
\(892\) | 16.0147 | − | 1.40111i | 0.536212 | − | 0.0469125i | ||||
\(893\) | 5.08532 | − | 28.8403i | 0.170174 | − | 0.965104i | ||||
\(894\) | −1.77569 | + | 1.77569i | −0.0593879 | + | 0.0593879i | ||||
\(895\) | 3.24291 | + | 24.4091i | 0.108398 | + | 0.815905i | ||||
\(896\) | 0.558179 | − | 2.08315i | 0.0186475 | − | 0.0695933i | ||||
\(897\) | −65.9297 | − | 5.76810i | −2.20133 | − | 0.192591i | ||||
\(898\) | −7.66873 | − | 28.6201i | −0.255909 | − | 0.955065i | ||||
\(899\) | −8.05834 | − | 13.9575i | −0.268761 | − | 0.465507i | ||||
\(900\) | 1.59782 | − | 0.432191i | 0.0532607 | − | 0.0144064i | ||||
\(901\) | −2.70446 | − | 30.9121i | −0.0900985 | − | 1.02983i | ||||
\(902\) | −13.5239 | + | 23.4241i | −0.450297 | + | 0.779937i | ||||
\(903\) | −6.68109 | + | 1.17806i | −0.222333 | + | 0.0392033i | ||||
\(904\) | −14.0688 | + | 2.48070i | −0.467920 | + | 0.0825069i | ||||
\(905\) | 5.32179 | + | 23.8713i | 0.176902 | + | 0.793510i | ||||
\(906\) | 1.28315 | − | 2.75172i | 0.0426297 | − | 0.0914197i | ||||
\(907\) | −9.08702 | − | 24.9664i | −0.301730 | − | 0.828995i | −0.994200 | − | 0.107549i | \(-0.965700\pi\) |
0.692470 | − | 0.721446i | \(-0.256522\pi\) | |||||||
\(908\) | 0.864273 | + | 1.03000i | 0.0286819 | + | 0.0341818i | ||||
\(909\) | −0.147056 | − | 0.833997i | −0.00487755 | − | 0.0276619i | ||||
\(910\) | 12.5985 | + | 24.1318i | 0.417637 | + | 0.799960i | ||||
\(911\) | 26.9422 | − | 7.21914i | 0.892634 | − | 0.239181i | 0.216784 | − | 0.976220i | \(-0.430443\pi\) |
0.675850 | + | 0.737039i | \(0.263777\pi\) | |||||||
\(912\) | −9.30266 | − | 7.80586i | −0.308042 | − | 0.258478i | ||||
\(913\) | −17.2623 | − | 37.0191i | −0.571298 | − | 1.22515i | ||||
\(914\) | −11.3595 | + | 6.55843i | −0.375740 | + | 0.216934i | ||||
\(915\) | −15.3009 | − | 23.9551i | −0.505834 | − | 0.791930i | ||||
\(916\) | −7.08693 | − | 8.44587i | −0.234159 | − | 0.279059i | ||||
\(917\) | 9.16825 | + | 15.8799i | 0.302762 | + | 0.524400i | ||||
\(918\) | −11.9617 | + | 8.37566i | −0.394795 | + | 0.276438i | ||||
\(919\) | −29.8906 | − | 29.8906i | −0.986001 | − | 0.986001i | 0.0139025 | − | 0.999903i | \(-0.495575\pi\) |
−0.999903 | + | 0.0139025i | \(0.995575\pi\) | |||||||
\(920\) | 12.7423 | + | 9.75354i | 0.420100 | + | 0.321565i | ||||
\(921\) | 5.99911 | + | 5.03385i | 0.197677 | + | 0.165871i | ||||
\(922\) | −12.9808 | − | 6.05303i | −0.427499 | − | 0.199346i | ||||
\(923\) | 34.5408 | + | 12.5718i | 1.13693 | + | 0.413807i | ||||
\(924\) | −11.4686 | −0.377289 | ||||||||
\(925\) | −4.96716 | + | 30.0055i | −0.163319 | + | 0.986573i | ||||
\(926\) | 20.4187 | 0.671001 | ||||||||
\(927\) | −2.95190 | − | 1.07440i | −0.0969530 | − | 0.0352880i | ||||
\(928\) | 2.01454 | + | 0.939395i | 0.0661305 | + | 0.0308372i | ||||
\(929\) | 34.5382 | + | 28.9810i | 1.13316 | + | 0.950835i | 0.999194 | − | 0.0401503i | \(-0.0127837\pi\) |
0.133968 | + | 0.990986i | \(0.457228\pi\) | |||||||
\(930\) | 21.0325 | + | 16.0993i | 0.689684 | + | 0.527917i | ||||
\(931\) | −12.3462 | − | 12.3462i | −0.404631 | − | 0.404631i | ||||
\(932\) | −14.8177 | + | 10.3754i | −0.485369 | + | 0.339859i | ||||
\(933\) | −1.51105 | − | 2.61722i | −0.0494697 | − | 0.0856840i | ||||
\(934\) | 3.60836 | + | 4.30028i | 0.118069 | + | 0.140709i | ||||
\(935\) | −10.5135 | − | 16.4598i | −0.343827 | − | 0.538294i | ||||
\(936\) | −1.61841 | + | 0.934387i | −0.0528993 | + | 0.0305414i | ||||
\(937\) | 20.2661 | + | 43.4608i | 0.662065 | + | 1.41980i | 0.894445 | + | 0.447177i | \(0.147571\pi\) |
−0.232381 | + | 0.972625i | \(0.574652\pi\) | |||||||
\(938\) | 23.5939 | + | 19.7976i | 0.770368 | + | 0.646415i | ||||
\(939\) | −20.7434 | + | 5.55818i | −0.676935 | + | 0.181384i | ||||
\(940\) | −4.07701 | − | 7.80929i | −0.132977 | − | 0.254711i | ||||
\(941\) | −5.33318 | − | 30.2460i | −0.173857 | − | 0.985991i | −0.939455 | − | 0.342672i | \(-0.888668\pi\) |
0.765598 | − | 0.643319i | \(-0.222443\pi\) | |||||||
\(942\) | 10.7434 | + | 12.8035i | 0.350039 | + | 0.417160i | ||||
\(943\) | 20.3950 | + | 56.0347i | 0.664151 | + | 1.82474i | ||||
\(944\) | −0.946867 | + | 2.03056i | −0.0308179 | + | 0.0660892i | ||||
\(945\) | 5.71034 | + | 25.6142i | 0.185758 | + | 0.833230i | ||||
\(946\) | 6.17251 | − | 1.08838i | 0.200686 | − | 0.0353863i | ||||
\(947\) | −12.1436 | + | 2.14125i | −0.394616 | + | 0.0695814i | −0.367435 | − | 0.930049i | \(-0.619764\pi\) |
−0.0271805 | + | 0.999631i | \(0.508653\pi\) | |||||||
\(948\) | −9.03585 | + | 15.6505i | −0.293471 | + | 0.508306i | ||||
\(949\) | 4.60681 | + | 52.6561i | 0.149543 | + | 1.70929i | ||||
\(950\) | −32.2311 | − | 18.5071i | −1.04572 | − | 0.600449i | ||||
\(951\) | −7.71007 | − | 13.3542i | −0.250016 | − | 0.433041i | ||||
\(952\) | 1.49779 | + | 5.58982i | 0.0485436 | + | 0.181167i | ||||
\(953\) | 46.7948 | + | 4.09401i | 1.51583 | + | 0.132618i | 0.814477 | − | 0.580195i | \(-0.197024\pi\) |
0.701354 | + | 0.712813i | \(0.252579\pi\) | |||||||
\(954\) | 0.990821 | − | 3.69779i | 0.0320790 | − | 0.119720i | ||||
\(955\) | 4.56071 | + | 34.3281i | 0.147581 | + | 1.11083i | ||||
\(956\) | 12.8853 | − | 12.8853i | 0.416739 | − | 0.416739i | ||||
\(957\) | 2.05259 | − | 11.6408i | 0.0663509 | − | 0.376295i | ||||
\(958\) | −15.4755 | + | 1.35393i | −0.499992 | + | 0.0437436i | ||||
\(959\) | −6.79450 | − | 18.6677i | −0.219406 | − | 0.602813i | ||||
\(960\) | −3.64976 | − | 0.155024i | −0.117795 | − | 0.00500339i | ||||
\(961\) | − | 21.5716i | − | 0.695859i | ||||||
\(962\) | −3.27008 | − | 34.1813i | −0.105432 | − | 1.10205i | ||||
\(963\) | 1.25227 | − | 1.25227i | 0.0403539 | − | 0.0403539i | ||||
\(964\) | −1.10186 | − | 2.36296i | −0.0354887 | − | 0.0761057i | ||||
\(965\) | −2.85499 | + | 21.8859i | −0.0919053 | + | 0.704532i | ||||
\(966\) | −16.2523 | + | 19.3688i | −0.522911 | + | 0.623181i | ||||
\(967\) | 41.6597 | + | 7.34573i | 1.33969 | + | 0.236223i | 0.797136 | − | 0.603800i | \(-0.206347\pi\) |
0.542551 | + | 0.840023i | \(0.317459\pi\) | |||||||
\(968\) | −0.404431 | −0.0129989 | ||||||||
\(969\) | 32.0909 | + | 5.65849i | 1.03091 | + | 0.181777i | ||||
\(970\) | −1.65633 | − | 36.9331i | −0.0531815 | − | 1.18585i | ||||
\(971\) | −16.5445 | + | 13.8825i | −0.530938 | + | 0.445510i | −0.868425 | − | 0.495820i | \(-0.834867\pi\) |
0.337487 | + | 0.941330i | \(0.390423\pi\) | |||||||
\(972\) | −3.30736 | + | 0.886204i | −0.106084 | + | 0.0284250i | ||||
\(973\) | 4.68345 | − | 17.4789i | 0.150145 | − | 0.560347i | ||||
\(974\) | −2.27950 | + | 6.26288i | −0.0730399 | + | 0.200676i | ||||
\(975\) | 35.2529 | − | 29.7232i | 1.12900 | − | 0.951904i | ||||
\(976\) | −2.01390 | − | 7.51596i | −0.0644632 | − | 0.240580i | ||||
\(977\) | 3.23825 | + | 18.3650i | 0.103601 | + | 0.587549i | 0.991770 | + | 0.128033i | \(0.0408663\pi\) |
−0.888169 | + | 0.459517i | \(0.848023\pi\) | |||||||
\(978\) | −15.2567 | − | 10.6829i | −0.487856 | − | 0.341601i | ||||
\(979\) | −1.96768 | + | 22.4907i | −0.0628873 | + | 0.718806i | ||||
\(980\) | −5.20820 | − | 0.679403i | −0.166370 | − | 0.0217027i | ||||
\(981\) | −1.81461 | − | 0.846166i | −0.0579360 | − | 0.0270160i | ||||
\(982\) | −19.0903 | + | 16.0187i | −0.609197 | + | 0.511177i | ||||
\(983\) | −13.7105 | + | 19.5806i | −0.437296 | + | 0.624523i | −0.975948 | − | 0.218005i | \(-0.930045\pi\) |
0.538652 | + | 0.842528i | \(0.318934\pi\) | |||||||
\(984\) | −11.1200 | − | 7.78631i | −0.354493 | − | 0.248219i | ||||
\(985\) | 7.01639 | − | 31.8271i | 0.223561 | − | 1.01410i | ||||
\(986\) | −5.94184 | + | 0.519844i | −0.189227 | + | 0.0165552i | ||||
\(987\) | 12.5802 | − | 5.86626i | 0.400433 | − | 0.186725i | ||||
\(988\) | 40.5315 | + | 10.8604i | 1.28948 | + | 0.345515i | ||||
\(989\) | 6.90906 | − | 11.9668i | 0.219695 | − | 0.380524i | ||||
\(990\) | −0.524309 | − | 2.35183i | −0.0166636 | − | 0.0747461i | ||||
\(991\) | −37.1397 | − | 9.95154i | −1.17978 | − | 0.316121i | −0.384941 | − | 0.922941i | \(-0.625778\pi\) |
−0.794839 | + | 0.606820i | \(0.792445\pi\) | |||||||
\(992\) | 4.15879 | + | 5.93937i | 0.132042 | + | 0.188575i | ||||
\(993\) | 23.4959i | 0.745621i | ||||||||
\(994\) | 11.5033 | − | 8.05472i | 0.364863 | − | 0.255480i | ||||
\(995\) | 54.1473 | + | 22.3535i | 1.71659 | + | 0.708654i | ||||
\(996\) | 19.2639 | − | 7.01149i | 0.610400 | − | 0.222167i | ||||
\(997\) | −13.4002 | + | 36.8168i | −0.424389 | + | 1.16600i | 0.524781 | + | 0.851237i | \(0.324147\pi\) |
−0.949170 | + | 0.314762i | \(0.898075\pi\) | |||||||
\(998\) | 21.5451 | + | 21.5451i | 0.681998 | + | 0.681998i | ||||
\(999\) | 5.48345 | − | 32.6445i | 0.173489 | − | 1.03283i |
(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 | 370.2.ba.b.207.8 | yes | 120 | |
5.3 | odd | 4 | 370.2.bd.b.133.3 | yes | 120 | ||
37.32 | odd | 36 | 370.2.bd.b.217.3 | yes | 120 | ||
185.143 | even | 36 | inner | 370.2.ba.b.143.8 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.ba.b.143.8 | ✓ | 120 | 185.143 | even | 36 | inner | |
370.2.ba.b.207.8 | yes | 120 | 1.1 | even | 1 | trivial | |
370.2.bd.b.133.3 | yes | 120 | 5.3 | odd | 4 | ||
370.2.bd.b.217.3 | yes | 120 | 37.32 | odd | 36 |