Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(11,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 12, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.ch (of order \(24\), degree \(8\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(124\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 672.11 |
Dual form | 672.2.ch.a.611.9 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36685 | + | 0.362941i | −0.966508 | + | 0.256638i | ||||
\(3\) | −0.0108601 | + | 1.73202i | −0.00627010 | + | 0.999980i | ||||
\(4\) | 1.73655 | − | 0.992170i | 0.868274 | − | 0.496085i | ||||
\(5\) | 0.167832 | + | 1.27481i | 0.0750566 | + | 0.570111i | 0.987110 | + | 0.160041i | \(0.0511626\pi\) |
−0.912054 | + | 0.410071i | \(0.865504\pi\) | |||||||
\(6\) | −0.613775 | − | 2.37135i | −0.250573 | − | 0.968098i | ||||
\(7\) | −2.51370 | + | 0.825424i | −0.950088 | + | 0.311981i | ||||
\(8\) | −2.01350 | + | 1.98641i | −0.711879 | + | 0.702302i | ||||
\(9\) | −2.99976 | − | 0.0376198i | −0.999921 | − | 0.0125399i | ||||
\(10\) | −0.692080 | − | 1.68156i | −0.218855 | − | 0.531755i | ||||
\(11\) | 0.390523 | − | 0.299659i | 0.117747 | − | 0.0903507i | −0.548209 | − | 0.836341i | \(-0.684690\pi\) |
0.665957 | + | 0.745991i | \(0.268024\pi\) | |||||||
\(12\) | 1.69960 | + | 3.01851i | 0.490631 | + | 0.871367i | ||||
\(13\) | −0.622434 | − | 1.50269i | −0.172632 | − | 0.416771i | 0.813756 | − | 0.581207i | \(-0.197419\pi\) |
−0.986388 | + | 0.164436i | \(0.947419\pi\) | |||||||
\(14\) | 3.13626 | − | 2.04055i | 0.838202 | − | 0.545361i | ||||
\(15\) | −2.20981 | + | 0.276843i | −0.570571 | + | 0.0714804i | ||||
\(16\) | 2.03120 | − | 3.44590i | 0.507800 | − | 0.861475i | ||||
\(17\) | −0.869726 | + | 1.50641i | −0.210940 | + | 0.365358i | −0.952009 | − | 0.306071i | \(-0.900986\pi\) |
0.741069 | + | 0.671429i | \(0.234319\pi\) | |||||||
\(18\) | 4.11388 | − | 1.03732i | 0.969650 | − | 0.244498i | ||||
\(19\) | −3.25942 | − | 2.50104i | −0.747763 | − | 0.573779i | 0.163040 | − | 0.986619i | \(-0.447870\pi\) |
−0.910803 | + | 0.412841i | \(0.864537\pi\) | |||||||
\(20\) | 1.55627 | + | 2.04725i | 0.347993 | + | 0.457778i | ||||
\(21\) | −1.40235 | − | 4.36273i | −0.306018 | − | 0.952026i | ||||
\(22\) | −0.425028 | + | 0.551326i | −0.0906162 | + | 0.117543i | ||||
\(23\) | −8.05174 | − | 2.15746i | −1.67890 | − | 0.449861i | −0.711415 | − | 0.702772i | \(-0.751945\pi\) |
−0.967490 | + | 0.252911i | \(0.918612\pi\) | |||||||
\(24\) | −3.41863 | − | 3.50899i | −0.697824 | − | 0.716269i | ||||
\(25\) | 3.23266 | − | 0.866189i | 0.646532 | − | 0.173238i | ||||
\(26\) | 1.39616 | + | 1.82804i | 0.273809 | + | 0.358508i | ||||
\(27\) | 0.0977360 | − | 5.19523i | 0.0188093 | − | 0.999823i | ||||
\(28\) | −3.54620 | + | 3.92740i | −0.670168 | + | 0.742209i | ||||
\(29\) | −0.425504 | − | 1.02726i | −0.0790140 | − | 0.190757i | 0.879436 | − | 0.476017i | \(-0.157920\pi\) |
−0.958450 | + | 0.285260i | \(0.907920\pi\) | |||||||
\(30\) | 2.92000 | − | 1.18043i | 0.533116 | − | 0.215516i | ||||
\(31\) | 5.23676 | + | 3.02345i | 0.940550 | + | 0.543027i | 0.890133 | − | 0.455701i | \(-0.150611\pi\) |
0.0504174 | + | 0.998728i | \(0.483945\pi\) | |||||||
\(32\) | −1.52568 | + | 5.44723i | −0.269705 | + | 0.962943i | ||||
\(33\) | 0.514774 | + | 0.679648i | 0.0896106 | + | 0.118311i | ||||
\(34\) | 0.642046 | − | 2.37469i | 0.110110 | − | 0.407256i | ||||
\(35\) | −1.47413 | − | 3.06595i | −0.249174 | − | 0.518240i | ||||
\(36\) | −5.24656 | + | 2.91095i | −0.874427 | + | 0.485158i | ||||
\(37\) | −2.03281 | + | 0.267625i | −0.334192 | + | 0.0439973i | −0.295755 | − | 0.955264i | \(-0.595571\pi\) |
−0.0384372 | + | 0.999261i | \(0.512238\pi\) | |||||||
\(38\) | 5.36287 | + | 2.23557i | 0.869972 | + | 0.362657i | ||||
\(39\) | 2.60944 | − | 1.06175i | 0.417845 | − | 0.170016i | ||||
\(40\) | −2.87022 | − | 2.23344i | −0.453821 | − | 0.353138i | ||||
\(41\) | 1.42879 | + | 1.42879i | 0.223140 | + | 0.223140i | 0.809819 | − | 0.586680i | \(-0.199565\pi\) |
−0.586680 | + | 0.809819i | \(0.699565\pi\) | |||||||
\(42\) | 3.50021 | + | 5.45422i | 0.540094 | + | 0.841604i | ||||
\(43\) | −2.43170 | + | 5.87063i | −0.370830 | + | 0.895263i | 0.622780 | + | 0.782397i | \(0.286003\pi\) |
−0.993610 | + | 0.112866i | \(0.963997\pi\) | |||||||
\(44\) | 0.380850 | − | 0.907838i | 0.0574153 | − | 0.136862i | ||||
\(45\) | −0.455497 | − | 3.83044i | −0.0679015 | − | 0.571008i | ||||
\(46\) | 11.7885 | + | 0.0266121i | 1.73813 | + | 0.00392373i | ||||
\(47\) | −3.55011 | + | 2.04966i | −0.517837 | + | 0.298973i | −0.736049 | − | 0.676928i | \(-0.763311\pi\) |
0.218212 | + | 0.975901i | \(0.429978\pi\) | |||||||
\(48\) | 5.94630 | + | 3.55549i | 0.858274 | + | 0.513191i | ||||
\(49\) | 5.63735 | − | 4.14973i | 0.805336 | − | 0.592819i | ||||
\(50\) | −4.10418 | + | 2.35721i | −0.580419 | + | 0.333360i | ||||
\(51\) | −2.59968 | − | 1.52274i | −0.364028 | − | 0.213226i | ||||
\(52\) | −2.57181 | − | 1.99193i | −0.356646 | − | 0.276231i | ||||
\(53\) | −1.99280 | − | 2.59707i | −0.273733 | − | 0.356735i | 0.636176 | − | 0.771544i | \(-0.280515\pi\) |
−0.909909 | + | 0.414809i | \(0.863849\pi\) | |||||||
\(54\) | 1.75197 | + | 7.13657i | 0.238413 | + | 0.971164i | ||||
\(55\) | 0.447550 | + | 0.447550i | 0.0603476 | + | 0.0603476i | ||||
\(56\) | 3.42170 | − | 6.65522i | 0.457243 | − | 0.889342i | ||||
\(57\) | 4.36725 | − | 5.61821i | 0.578456 | − | 0.744151i | ||||
\(58\) | 0.954432 | + | 1.24967i | 0.125323 | + | 0.164090i | ||||
\(59\) | −4.10131 | − | 5.34494i | −0.533945 | − | 0.695851i | 0.446019 | − | 0.895023i | \(-0.352841\pi\) |
−0.979965 | + | 0.199172i | \(0.936175\pi\) | |||||||
\(60\) | −3.56277 | + | 2.67326i | −0.459951 | + | 0.345116i | ||||
\(61\) | 0.387972 | + | 0.297701i | 0.0496747 | + | 0.0381168i | 0.633300 | − | 0.773906i | \(-0.281700\pi\) |
−0.583626 | + | 0.812023i | \(0.698366\pi\) | |||||||
\(62\) | −8.25519 | − | 2.23196i | −1.04841 | − | 0.283459i | ||||
\(63\) | 7.57155 | − | 2.38151i | 0.953926 | − | 0.300042i | ||||
\(64\) | 0.108354 | − | 7.99927i | 0.0135443 | − | 0.999908i | ||||
\(65\) | 1.81118 | − | 1.04568i | 0.224649 | − | 0.129701i | ||||
\(66\) | −0.950289 | − | 0.742143i | −0.116973 | − | 0.0913515i | ||||
\(67\) | −5.89723 | − | 0.776385i | −0.720461 | − | 0.0948505i | −0.238625 | − | 0.971112i | \(-0.576697\pi\) |
−0.481836 | + | 0.876261i | \(0.660030\pi\) | |||||||
\(68\) | −0.0157068 | + | 3.47887i | −0.00190473 | + | 0.421875i | ||||
\(69\) | 3.82420 | − | 13.9223i | 0.460379 | − | 1.67605i | ||||
\(70\) | 3.12768 | + | 3.65566i | 0.373829 | + | 0.436935i | ||||
\(71\) | −10.8313 | − | 10.8313i | −1.28544 | − | 1.28544i | −0.937528 | − | 0.347910i | \(-0.886892\pi\) |
−0.347910 | − | 0.937528i | \(-0.613108\pi\) | |||||||
\(72\) | 6.11475 | − | 5.88301i | 0.720630 | − | 0.693320i | ||||
\(73\) | −3.68012 | − | 13.7344i | −0.430725 | − | 1.60749i | −0.751094 | − | 0.660195i | \(-0.770473\pi\) |
0.320369 | − | 0.947293i | \(-0.396193\pi\) | |||||||
\(74\) | 2.68142 | − | 1.10359i | 0.311708 | − | 0.128290i | ||||
\(75\) | 1.46515 | + | 5.60843i | 0.169181 | + | 0.647606i | ||||
\(76\) | −8.14160 | − | 1.10928i | −0.933906 | − | 0.127243i | ||||
\(77\) | −0.734312 | + | 1.07560i | −0.0836826 | + | 0.122576i | ||||
\(78\) | −3.18136 | + | 2.39832i | −0.360218 | + | 0.271556i | ||||
\(79\) | 2.90372 | + | 5.02939i | 0.326694 | + | 0.565850i | 0.981854 | − | 0.189640i | \(-0.0607321\pi\) |
−0.655160 | + | 0.755490i | \(0.727399\pi\) | |||||||
\(80\) | 4.73376 | + | 2.01106i | 0.529250 | + | 0.224843i | ||||
\(81\) | 8.99717 | + | 0.225701i | 0.999685 | + | 0.0250779i | ||||
\(82\) | −2.47151 | − | 1.43437i | −0.272932 | − | 0.158400i | ||||
\(83\) | −1.11853 | − | 2.70038i | −0.122775 | − | 0.296405i | 0.850528 | − | 0.525930i | \(-0.176283\pi\) |
−0.973303 | + | 0.229525i | \(0.926283\pi\) | |||||||
\(84\) | −6.76382 | − | 6.18472i | −0.737993 | − | 0.674809i | ||||
\(85\) | −2.06635 | − | 0.855910i | −0.224127 | − | 0.0928365i | ||||
\(86\) | 1.19307 | − | 8.90682i | 0.128652 | − | 0.960448i | ||||
\(87\) | 1.78385 | − | 0.725823i | 0.191248 | − | 0.0778164i | ||||
\(88\) | −0.191073 | + | 1.37910i | −0.0203684 | + | 0.147013i | ||||
\(89\) | 12.2514 | + | 3.28275i | 1.29864 | + | 0.347970i | 0.840937 | − | 0.541133i | \(-0.182004\pi\) |
0.457706 | + | 0.889103i | \(0.348671\pi\) | |||||||
\(90\) | 2.01282 | + | 5.07031i | 0.212170 | + | 0.534457i | ||||
\(91\) | 2.80497 | + | 3.26353i | 0.294040 | + | 0.342111i | ||||
\(92\) | −16.1228 | + | 4.24217i | −1.68092 | + | 0.442277i | ||||
\(93\) | −5.29353 | + | 9.03732i | −0.548914 | + | 0.937127i | ||||
\(94\) | 4.10856 | − | 4.09005i | 0.423766 | − | 0.421857i | ||||
\(95\) | 2.64131 | − | 4.57489i | 0.270993 | − | 0.469374i | ||||
\(96\) | −9.41812 | − | 2.70166i | −0.961233 | − | 0.275737i | ||||
\(97\) | 10.0790 | 1.02337 | 0.511684 | − | 0.859174i | \(-0.329022\pi\) | ||||
0.511684 | + | 0.859174i | \(0.329022\pi\) | |||||||
\(98\) | −6.19929 | + | 7.71808i | −0.626223 | + | 0.779644i | ||||
\(99\) | −1.18275 | + | 0.884216i | −0.118871 | + | 0.0888670i | ||||
\(100\) | 4.75427 | − | 4.71153i | 0.475427 | − | 0.471153i | ||||
\(101\) | −3.72093 | + | 2.85517i | −0.370247 | + | 0.284100i | −0.777080 | − | 0.629402i | \(-0.783300\pi\) |
0.406833 | + | 0.913503i | \(0.366633\pi\) | |||||||
\(102\) | 4.10603 | + | 1.13782i | 0.406558 | + | 0.112661i | ||||
\(103\) | −8.25094 | − | 2.21083i | −0.812989 | − | 0.217840i | −0.171710 | − | 0.985147i | \(-0.554929\pi\) |
−0.641279 | + | 0.767308i | \(0.721596\pi\) | |||||||
\(104\) | 4.23823 | + | 1.78925i | 0.415592 | + | 0.175451i | ||||
\(105\) | 5.32628 | − | 2.51993i | 0.519792 | − | 0.245920i | ||||
\(106\) | 3.66644 | + | 2.82653i | 0.356116 | + | 0.274537i | ||||
\(107\) | 1.90657 | + | 14.4818i | 0.184315 | + | 1.40001i | 0.794265 | + | 0.607572i | \(0.207856\pi\) |
−0.609950 | + | 0.792440i | \(0.708810\pi\) | |||||||
\(108\) | −4.98483 | − | 9.11874i | −0.479666 | − | 0.877451i | ||||
\(109\) | −12.1522 | − | 1.59986i | −1.16397 | − | 0.153239i | −0.476312 | − | 0.879277i | \(-0.658027\pi\) |
−0.687655 | + | 0.726037i | \(0.741360\pi\) | |||||||
\(110\) | −0.774167 | − | 0.449299i | −0.0738139 | − | 0.0428390i | ||||
\(111\) | −0.441454 | − | 3.52377i | −0.0419010 | − | 0.334462i | ||||
\(112\) | −2.26149 | + | 10.3386i | −0.213691 | + | 0.976901i | ||||
\(113\) | −16.1961 | −1.52360 | −0.761802 | − | 0.647810i | \(-0.775685\pi\) | ||||
−0.761802 | + | 0.647810i | \(0.775685\pi\) | |||||||
\(114\) | −3.93028 | + | 9.26430i | −0.368105 | + | 0.867681i | ||||
\(115\) | 1.39901 | − | 10.6265i | 0.130458 | − | 0.990928i | ||||
\(116\) | −1.75812 | − | 1.36171i | −0.163237 | − | 0.126431i | ||||
\(117\) | 1.81062 | + | 4.53113i | 0.167392 | + | 0.418903i | ||||
\(118\) | 7.54577 | + | 5.81718i | 0.694644 | + | 0.535515i | ||||
\(119\) | 0.942801 | − | 4.50455i | 0.0864264 | − | 0.412931i | ||||
\(120\) | 3.89953 | − | 4.94701i | 0.355977 | − | 0.451598i | ||||
\(121\) | −2.78430 | + | 10.3911i | −0.253118 | + | 0.944649i | ||||
\(122\) | −0.638347 | − | 0.266102i | −0.0577932 | − | 0.0240917i | ||||
\(123\) | −2.49021 | + | 2.45917i | −0.224534 | + | 0.221736i | ||||
\(124\) | 12.0937 | + | 0.0546020i | 1.08604 | + | 0.00490340i | ||||
\(125\) | 4.10705 | + | 9.91531i | 0.367346 | + | 0.886852i | ||||
\(126\) | −9.48481 | + | 6.00319i | −0.844974 | + | 0.534807i | ||||
\(127\) | 18.9104i | 1.67802i | 0.544114 | + | 0.839011i | \(0.316866\pi\) | ||||
−0.544114 | + | 0.839011i | \(0.683134\pi\) | |||||||
\(128\) | 2.75516 | + | 10.9731i | 0.243524 | + | 0.969895i | ||||
\(129\) | −10.1416 | − | 4.27549i | −0.892920 | − | 0.376436i | ||||
\(130\) | −2.09608 | + | 2.08664i | −0.183838 | + | 0.183010i | ||||
\(131\) | 3.41292 | + | 2.61883i | 0.298188 | + | 0.228808i | 0.747009 | − | 0.664814i | \(-0.231489\pi\) |
−0.448821 | + | 0.893622i | \(0.648156\pi\) | |||||||
\(132\) | 1.56825 | + | 0.669498i | 0.136499 | + | 0.0582723i | ||||
\(133\) | 10.2576 | + | 3.59646i | 0.889449 | + | 0.311853i | ||||
\(134\) | 8.34240 | − | 1.07914i | 0.720673 | − | 0.0932239i | ||||
\(135\) | 6.63933 | − | 0.747330i | 0.571422 | − | 0.0643199i | ||||
\(136\) | −1.24115 | − | 4.76079i | −0.106428 | − | 0.408234i | ||||
\(137\) | 11.5760 | − | 3.10179i | 0.989007 | − | 0.265004i | 0.272174 | − | 0.962248i | \(-0.412258\pi\) |
0.716833 | + | 0.697245i | \(0.245591\pi\) | |||||||
\(138\) | −0.174118 | + | 20.4177i | −0.0148219 | + | 1.73807i | ||||
\(139\) | −0.803954 | + | 1.94092i | −0.0681905 | + | 0.164626i | −0.954301 | − | 0.298848i | \(-0.903398\pi\) |
0.886110 | + | 0.463475i | \(0.153398\pi\) | |||||||
\(140\) | −5.60185 | − | 3.86157i | −0.473443 | − | 0.326363i | ||||
\(141\) | −3.51149 | − | 6.17111i | −0.295721 | − | 0.519701i | ||||
\(142\) | 18.7358 | + | 10.8736i | 1.57228 | + | 0.912493i | ||||
\(143\) | −0.693370 | − | 0.400317i | −0.0579825 | − | 0.0334762i | ||||
\(144\) | −6.22275 | + | 10.2605i | −0.518562 | + | 0.855040i | ||||
\(145\) | 1.23814 | − | 0.714841i | 0.102822 | − | 0.0593643i | ||||
\(146\) | 10.0149 | + | 17.4372i | 0.828842 | + | 1.44311i | ||||
\(147\) | 7.12618 | + | 9.80905i | 0.587758 | + | 0.809037i | ||||
\(148\) | −3.26455 | + | 2.48164i | −0.268344 | + | 0.203990i | ||||
\(149\) | −23.5824 | + | 3.10469i | −1.93195 | + | 0.254346i | −0.995370 | − | 0.0961126i | \(-0.969359\pi\) |
−0.936578 | + | 0.350458i | \(0.886026\pi\) | |||||||
\(150\) | −4.03816 | − | 7.13411i | −0.329715 | − | 0.582498i | ||||
\(151\) | −13.4149 | + | 3.59450i | −1.09169 | + | 0.292516i | −0.759375 | − | 0.650653i | \(-0.774495\pi\) |
−0.332311 | + | 0.943170i | \(0.607828\pi\) | |||||||
\(152\) | 11.5309 | − | 1.43870i | 0.935283 | − | 0.116694i | ||||
\(153\) | 2.66564 | − | 4.48615i | 0.215505 | − | 0.362684i | ||||
\(154\) | 0.613314 | − | 1.73669i | 0.0494222 | − | 0.139947i | ||||
\(155\) | −2.97542 | + | 7.18329i | −0.238991 | + | 0.576976i | ||||
\(156\) | 3.47799 | − | 4.43278i | 0.278462 | − | 0.354907i | ||||
\(157\) | −1.36575 | + | 10.3739i | −0.108999 | + | 0.827928i | 0.846387 | + | 0.532568i | \(0.178773\pi\) |
−0.955386 | + | 0.295360i | \(0.904560\pi\) | |||||||
\(158\) | −5.79431 | − | 5.82053i | −0.460971 | − | 0.463057i | ||||
\(159\) | 4.51981 | − | 3.42336i | 0.358445 | − | 0.271490i | ||||
\(160\) | −7.20023 | − | 1.03073i | −0.569228 | − | 0.0814866i | ||||
\(161\) | 22.0205 | − | 1.22291i | 1.73546 | − | 0.0963785i | ||||
\(162\) | −12.3797 | + | 2.95694i | −0.972640 | + | 0.232319i | ||||
\(163\) | −7.16422 | + | 9.33659i | −0.561145 | + | 0.731298i | −0.984639 | − | 0.174601i | \(-0.944137\pi\) |
0.423495 | + | 0.905899i | \(0.360803\pi\) | |||||||
\(164\) | 3.89877 | + | 1.06356i | 0.304443 | + | 0.0830502i | ||||
\(165\) | −0.780025 | + | 0.770304i | −0.0607248 | + | 0.0599681i | ||||
\(166\) | 2.50894 | + | 3.28504i | 0.194732 | + | 0.254969i | ||||
\(167\) | −8.09595 | − | 8.09595i | −0.626483 | − | 0.626483i | 0.320698 | − | 0.947181i | \(-0.396082\pi\) |
−0.947181 | + | 0.320698i | \(0.896082\pi\) | |||||||
\(168\) | 11.4898 | + | 5.99871i | 0.886457 | + | 0.462811i | ||||
\(169\) | 7.32174 | − | 7.32174i | 0.563211 | − | 0.563211i | ||||
\(170\) | 3.13503 | + | 0.419937i | 0.240446 | + | 0.0322077i | ||||
\(171\) | 9.68341 | + | 7.62516i | 0.740509 | + | 0.583111i | ||||
\(172\) | 1.60191 | + | 12.6073i | 0.122144 | + | 0.961297i | ||||
\(173\) | −10.2282 | − | 7.84835i | −0.777633 | − | 0.596699i | 0.141823 | − | 0.989892i | \(-0.454704\pi\) |
−0.919456 | + | 0.393193i | \(0.871370\pi\) | |||||||
\(174\) | −2.17482 | + | 1.63952i | −0.164872 | + | 0.124292i | ||||
\(175\) | −7.41096 | + | 4.84565i | −0.560216 | + | 0.366297i | ||||
\(176\) | −0.239365 | − | 1.95437i | −0.0180428 | − | 0.147316i | ||||
\(177\) | 9.30206 | − | 7.04550i | 0.699186 | − | 0.529572i | ||||
\(178\) | −17.9372 | − | 0.0404924i | −1.34445 | − | 0.00303503i | ||||
\(179\) | 1.78942 | + | 0.235581i | 0.133747 | + | 0.0176082i | 0.197103 | − | 0.980383i | \(-0.436847\pi\) |
−0.0633553 | + | 0.997991i | \(0.520180\pi\) | |||||||
\(180\) | −4.59144 | − | 6.19981i | −0.342225 | − | 0.462106i | ||||
\(181\) | 6.74634 | + | 2.79443i | 0.501452 | + | 0.207708i | 0.619048 | − | 0.785353i | \(-0.287519\pi\) |
−0.117596 | + | 0.993062i | \(0.537519\pi\) | |||||||
\(182\) | −5.01843 | − | 3.44272i | −0.371991 | − | 0.255191i | ||||
\(183\) | −0.519837 | + | 0.668741i | −0.0384275 | + | 0.0494348i | ||||
\(184\) | 20.4978 | − | 11.6500i | 1.51112 | − | 0.858851i | ||||
\(185\) | −0.682341 | − | 2.54653i | −0.0501667 | − | 0.187225i | ||||
\(186\) | 3.95544 | − | 14.2739i | 0.290027 | − | 1.04661i | ||||
\(187\) | 0.111761 | + | 0.848910i | 0.00817278 | + | 0.0620784i | ||||
\(188\) | −4.13133 | + | 7.08164i | −0.301308 | + | 0.516482i | ||||
\(189\) | 4.04259 | + | 13.1399i | 0.294055 | + | 0.955788i | ||||
\(190\) | −1.94986 | + | 7.21182i | −0.141458 | + | 0.523201i | ||||
\(191\) | 1.79947 | + | 3.11678i | 0.130205 | + | 0.225522i | 0.923756 | − | 0.382982i | \(-0.125103\pi\) |
−0.793550 | + | 0.608505i | \(0.791770\pi\) | |||||||
\(192\) | 13.8537 | + | 0.274544i | 0.999804 | + | 0.0198135i | ||||
\(193\) | 0.0758085 | − | 0.131304i | 0.00545681 | − | 0.00945148i | −0.863284 | − | 0.504718i | \(-0.831596\pi\) |
0.868741 | + | 0.495267i | \(0.164930\pi\) | |||||||
\(194\) | −13.7765 | + | 3.65808i | −0.989092 | + | 0.262635i | ||||
\(195\) | 1.79147 | + | 3.14834i | 0.128290 | + | 0.225457i | ||||
\(196\) | 5.67229 | − | 12.7994i | 0.405164 | − | 0.914244i | ||||
\(197\) | 10.7385 | + | 4.44804i | 0.765089 | + | 0.316910i | 0.730881 | − | 0.682505i | \(-0.239109\pi\) |
0.0342073 | + | 0.999415i | \(0.489109\pi\) | |||||||
\(198\) | 1.29572 | − | 1.63786i | 0.0920831 | − | 0.116397i | ||||
\(199\) | 2.75306 | + | 10.2746i | 0.195159 | + | 0.728344i | 0.992226 | + | 0.124452i | \(0.0397174\pi\) |
−0.797066 | + | 0.603892i | \(0.793616\pi\) | |||||||
\(200\) | −4.78835 | + | 8.16546i | −0.338588 | + | 0.577385i | ||||
\(201\) | 1.40876 | − | 10.2057i | 0.0993660 | − | 0.719852i | ||||
\(202\) | 4.04969 | − | 5.25307i | 0.284935 | − | 0.369605i | ||||
\(203\) | 1.91751 | + | 2.23099i | 0.134583 | + | 0.156585i | ||||
\(204\) | −6.02529 | − | 0.0649854i | −0.421855 | − | 0.00454989i | ||||
\(205\) | −1.58164 | + | 2.06123i | −0.110466 | + | 0.143963i | ||||
\(206\) | 12.0802 | + | 0.0272704i | 0.841666 | + | 0.00190002i | ||||
\(207\) | 24.0722 | + | 6.77477i | 1.67313 | + | 0.470879i | ||||
\(208\) | −6.44240 | − | 0.907412i | −0.446700 | − | 0.0629177i | ||||
\(209\) | −2.02234 | −0.139888 | ||||||||
\(210\) | −6.36564 | + | 5.37749i | −0.439271 | + | 0.371082i | ||||
\(211\) | −18.8965 | + | 7.82719i | −1.30089 | + | 0.538846i | −0.922213 | − | 0.386683i | \(-0.873621\pi\) |
−0.378677 | + | 0.925529i | \(0.623621\pi\) | |||||||
\(212\) | −6.03734 | − | 2.53274i | −0.414646 | − | 0.173949i | ||||
\(213\) | 18.8776 | − | 18.6424i | 1.29347 | − | 1.27735i | ||||
\(214\) | −7.86204 | − | 19.1025i | −0.537438 | − | 1.30582i | ||||
\(215\) | −7.89204 | − | 2.11467i | −0.538233 | − | 0.144219i | ||||
\(216\) | 10.1231 | + | 10.6547i | 0.688788 | + | 0.724963i | ||||
\(217\) | −15.6593 | − | 3.27748i | −1.06302 | − | 0.222490i | ||||
\(218\) | 17.1908 | − | 2.22375i | 1.16431 | − | 0.150611i | ||||
\(219\) | 23.8282 | − | 6.22487i | 1.61016 | − | 0.420638i | ||||
\(220\) | 1.22124 | + | 0.333147i | 0.0823358 | + | 0.0224607i | ||||
\(221\) | 2.80501 | + | 0.369287i | 0.188686 | + | 0.0248409i | ||||
\(222\) | 1.88232 | + | 4.65624i | 0.126333 | + | 0.312506i | ||||
\(223\) | 9.59662i | 0.642637i | 0.946971 | + | 0.321319i | \(0.104126\pi\) | ||||
−0.946971 | + | 0.321319i | \(0.895874\pi\) | |||||||
\(224\) | −0.661172 | − | 14.9520i | −0.0441764 | − | 0.999024i | ||||
\(225\) | −9.72981 | + | 2.47675i | −0.648654 | + | 0.165117i | ||||
\(226\) | 22.1377 | − | 5.87824i | 1.47258 | − | 0.391015i | ||||
\(227\) | −2.92671 | + | 22.2306i | −0.194253 | + | 1.47550i | 0.565211 | + | 0.824946i | \(0.308795\pi\) |
−0.759464 | + | 0.650549i | \(0.774539\pi\) | |||||||
\(228\) | 2.00971 | − | 14.0893i | 0.133096 | − | 0.933090i | ||||
\(229\) | −24.3904 | + | 3.21106i | −1.61176 | + | 0.212193i | −0.881913 | − | 0.471413i | \(-0.843744\pi\) |
−0.729852 | + | 0.683605i | \(0.760411\pi\) | |||||||
\(230\) | 1.94456 | + | 15.0326i | 0.128221 | + | 0.991220i | ||||
\(231\) | −1.85498 | − | 1.28352i | −0.122049 | − | 0.0844495i | ||||
\(232\) | 2.89730 | + | 1.22316i | 0.190217 | + | 0.0803041i | ||||
\(233\) | −2.06900 | + | 7.72163i | −0.135545 | + | 0.505861i | 0.864450 | + | 0.502719i | \(0.167667\pi\) |
−0.999995 | + | 0.00314212i | \(0.999000\pi\) | |||||||
\(234\) | −4.11938 | − | 5.53621i | −0.269292 | − | 0.361914i | ||||
\(235\) | −3.20874 | − | 4.18171i | −0.209315 | − | 0.272785i | ||||
\(236\) | −12.4252 | − | 5.21254i | −0.808812 | − | 0.339307i | ||||
\(237\) | −8.74252 | + | 4.97467i | −0.567888 | + | 0.323139i | ||||
\(238\) | 0.346219 | + | 6.49922i | 0.0224420 | + | 0.421282i | ||||
\(239\) | 0.653926i | 0.0422990i | 0.999776 | + | 0.0211495i | \(0.00673259\pi\) | ||||
−0.999776 | + | 0.0211495i | \(0.993267\pi\) | |||||||
\(240\) | −3.53459 | + | 8.17711i | −0.228157 | + | 0.527830i | ||||
\(241\) | −5.05410 | − | 2.91799i | −0.325563 | − | 0.187964i | 0.328306 | − | 0.944571i | \(-0.393522\pi\) |
−0.653870 | + | 0.756607i | \(0.726856\pi\) | |||||||
\(242\) | 0.0343441 | − | 15.2136i | 0.00220772 | − | 0.977970i | ||||
\(243\) | −0.488629 | + | 15.5808i | −0.0313456 | + | 0.999509i | ||||
\(244\) | 0.969103 | + | 0.132039i | 0.0620404 | + | 0.00845291i | ||||
\(245\) | 6.23624 | + | 6.49008i | 0.398419 | + | 0.414636i | ||||
\(246\) | 2.51120 | − | 4.26511i | 0.160108 | − | 0.271934i | ||||
\(247\) | −1.72951 | + | 6.45463i | −0.110046 | + | 0.410699i | ||||
\(248\) | −16.5500 | + | 4.31465i | −1.05093 | + | 0.273981i | ||||
\(249\) | 4.68924 | − | 1.90799i | 0.297169 | − | 0.120914i | ||||
\(250\) | −9.21239 | − | 12.0621i | −0.582643 | − | 0.762874i | ||||
\(251\) | 9.47322 | − | 22.8704i | 0.597945 | − | 1.44357i | −0.277727 | − | 0.960660i | \(-0.589581\pi\) |
0.875672 | − | 0.482906i | \(-0.160419\pi\) | |||||||
\(252\) | 10.7855 | − | 11.6479i | 0.679423 | − | 0.733747i | ||||
\(253\) | −3.79090 | + | 1.57024i | −0.238332 | + | 0.0987202i | ||||
\(254\) | −6.86334 | − | 25.8476i | −0.430644 | − | 1.62182i | ||||
\(255\) | 1.50489 | − | 3.56966i | 0.0942400 | − | 0.223541i | ||||
\(256\) | −7.74847 | − | 13.9986i | −0.484279 | − | 0.874913i | ||||
\(257\) | 16.5630 | − | 9.56264i | 1.03317 | − | 0.596501i | 0.115279 | − | 0.993333i | \(-0.463224\pi\) |
0.917891 | + | 0.396832i | \(0.129890\pi\) | |||||||
\(258\) | 15.4138 | + | 2.16314i | 0.959622 | + | 0.134671i | ||||
\(259\) | 4.88897 | − | 2.35066i | 0.303786 | − | 0.146063i | ||||
\(260\) | 2.10770 | − | 3.61287i | 0.130714 | − | 0.224061i | ||||
\(261\) | 1.23777 | + | 3.09754i | 0.0766157 | + | 0.191733i | ||||
\(262\) | −5.61542 | − | 2.34085i | −0.346922 | − | 0.144618i | ||||
\(263\) | 16.9694 | − | 4.54694i | 1.04638 | − | 0.280376i | 0.305624 | − | 0.952152i | \(-0.401135\pi\) |
0.740754 | + | 0.671776i | \(0.234468\pi\) | |||||||
\(264\) | −2.38655 | − | 0.345918i | −0.146882 | − | 0.0212898i | ||||
\(265\) | 2.97631 | − | 2.97631i | 0.182833 | − | 0.182833i | ||||
\(266\) | −15.3259 | − | 1.19290i | −0.939692 | − | 0.0731417i | ||||
\(267\) | −5.81882 | + | 21.1839i | −0.356106 | + | 1.29644i | ||||
\(268\) | −11.0111 | + | 4.50282i | −0.672612 | + | 0.275054i | ||||
\(269\) | −1.08268 | + | 8.22377i | −0.0660122 | + | 0.501412i | 0.926217 | + | 0.376990i | \(0.123041\pi\) |
−0.992229 | + | 0.124422i | \(0.960292\pi\) | |||||||
\(270\) | −8.80371 | + | 3.43117i | −0.535777 | + | 0.208814i | ||||
\(271\) | −10.9175 | − | 18.9097i | −0.663191 | − | 1.14868i | −0.979772 | − | 0.200115i | \(-0.935869\pi\) |
0.316582 | − | 0.948565i | \(-0.397465\pi\) | |||||||
\(272\) | 3.42435 | + | 6.05681i | 0.207632 | + | 0.367248i | ||||
\(273\) | −5.68296 | + | 4.82281i | −0.343948 | + | 0.291890i | ||||
\(274\) | −14.6969 | + | 8.44109i | −0.887873 | + | 0.509945i | ||||
\(275\) | 1.00287 | − | 1.30696i | 0.0604753 | − | 0.0788129i | ||||
\(276\) | −7.17241 | − | 27.9710i | −0.431728 | − | 1.68366i | ||||
\(277\) | 17.9962 | − | 13.8090i | 1.08129 | − | 0.829701i | 0.0951220 | − | 0.995466i | \(-0.469676\pi\) |
0.986165 | + | 0.165765i | \(0.0530092\pi\) | |||||||
\(278\) | 0.394445 | − | 2.94472i | 0.0236573 | − | 0.176613i | ||||
\(279\) | −15.5953 | − | 9.26663i | −0.933667 | − | 0.554779i | ||||
\(280\) | 9.05840 | + | 3.24505i | 0.541343 | + | 0.193929i | ||||
\(281\) | −4.83866 | + | 4.83866i | −0.288650 | + | 0.288650i | −0.836546 | − | 0.547896i | \(-0.815429\pi\) |
0.547896 | + | 0.836546i | \(0.315429\pi\) | |||||||
\(282\) | 7.03942 | + | 7.16051i | 0.419191 | + | 0.426402i | ||||
\(283\) | −17.5315 | + | 13.4524i | −1.04214 | + | 0.799661i | −0.980118 | − | 0.198414i | \(-0.936421\pi\) |
−0.0620198 | + | 0.998075i | \(0.519754\pi\) | |||||||
\(284\) | −29.5555 | − | 8.06258i | −1.75380 | − | 0.478426i | ||||
\(285\) | 7.89510 | + | 4.62449i | 0.467666 | + | 0.273931i | ||||
\(286\) | 1.09302 | + | 0.295521i | 0.0646318 | + | 0.0174745i | ||||
\(287\) | −4.77091 | − | 2.41219i | −0.281618 | − | 0.142387i | ||||
\(288\) | 4.78161 | − | 16.2830i | 0.281759 | − | 0.959485i | ||||
\(289\) | 6.98715 | + | 12.1021i | 0.411009 | + | 0.711889i | ||||
\(290\) | −1.43291 | + | 1.42645i | −0.0841432 | + | 0.0837641i | ||||
\(291\) | −0.109459 | + | 17.4570i | −0.00641661 | + | 1.02335i | ||||
\(292\) | −20.0175 | − | 20.1991i | −1.17144 | − | 1.18206i | ||||
\(293\) | −12.8559 | − | 5.32508i | −0.751049 | − | 0.311095i | −0.0258793 | − | 0.999665i | \(-0.508239\pi\) |
−0.725169 | + | 0.688571i | \(0.758239\pi\) | |||||||
\(294\) | −13.3005 | − | 10.8211i | −0.775702 | − | 0.631099i | ||||
\(295\) | 6.12543 | − | 6.12543i | 0.356637 | − | 0.356637i | ||||
\(296\) | 3.56145 | − | 4.57686i | 0.207005 | − | 0.266025i | ||||
\(297\) | −1.51863 | − | 2.05815i | −0.0881199 | − | 0.119426i | ||||
\(298\) | 31.1068 | − | 12.8027i | 1.80197 | − | 0.741638i | ||||
\(299\) | 1.76969 | + | 13.4421i | 0.102344 | + | 0.777379i | ||||
\(300\) | 8.10882 | + | 8.28564i | 0.468163 | + | 0.478371i | ||||
\(301\) | 1.26679 | − | 16.7642i | 0.0730163 | − | 0.966271i | ||||
\(302\) | 17.0315 | − | 9.78194i | 0.980052 | − | 0.562887i | ||||
\(303\) | −4.90480 | − | 6.47573i | −0.281773 | − | 0.372021i | ||||
\(304\) | −15.2389 | + | 6.15154i | −0.874010 | + | 0.352815i | ||||
\(305\) | −0.314398 | + | 0.544553i | −0.0180024 | + | 0.0311810i | ||||
\(306\) | −2.01532 | + | 7.09936i | −0.115208 | + | 0.405844i | ||||
\(307\) | 26.4076 | − | 10.9384i | 1.50716 | − | 0.624286i | 0.532191 | − | 0.846624i | \(-0.321369\pi\) |
0.974970 | + | 0.222338i | \(0.0713688\pi\) | |||||||
\(308\) | −0.207990 | + | 2.59639i | −0.0118513 | + | 0.147943i | ||||
\(309\) | 3.91881 | − | 14.2668i | 0.222933 | − | 0.811608i | ||||
\(310\) | 1.45983 | − | 10.8984i | 0.0829130 | − | 0.618986i | ||||
\(311\) | 2.37031 | + | 8.84611i | 0.134408 | + | 0.501617i | 1.00000 | 0.000866600i | \(0.000275847\pi\) | |
−0.865592 | + | 0.500750i | \(0.833057\pi\) | |||||||
\(312\) | −3.14504 | + | 7.32125i | −0.178053 | + | 0.414484i | ||||
\(313\) | 0.613684 | − | 2.29030i | 0.0346875 | − | 0.129455i | −0.946411 | − | 0.322965i | \(-0.895320\pi\) |
0.981098 | + | 0.193510i | \(0.0619871\pi\) | |||||||
\(314\) | −1.89834 | − | 14.6752i | −0.107130 | − | 0.828172i | ||||
\(315\) | 4.30672 | + | 9.25258i | 0.242656 | + | 0.521324i | ||||
\(316\) | 10.0325 | + | 5.85279i | 0.564370 | + | 0.329245i | ||||
\(317\) | −2.70787 | + | 3.52896i | −0.152089 | + | 0.198206i | −0.863184 | − | 0.504890i | \(-0.831533\pi\) |
0.711095 | + | 0.703096i | \(0.248200\pi\) | |||||||
\(318\) | −4.93542 | + | 6.31965i | −0.276765 | + | 0.354388i | ||||
\(319\) | −0.473996 | − | 0.273662i | −0.0265387 | − | 0.0153221i | ||||
\(320\) | 10.2157 | − | 1.20440i | 0.571076 | − | 0.0673280i | ||||
\(321\) | −25.1035 | + | 3.14494i | −1.40114 | + | 0.175533i | ||||
\(322\) | −29.6548 | + | 9.66365i | −1.65260 | + | 0.538534i | ||||
\(323\) | 6.60240 | − | 2.73480i | 0.367367 | − | 0.152169i | ||||
\(324\) | 15.8480 | − | 8.53478i | 0.880442 | − | 0.474154i | ||||
\(325\) | −3.31373 | − | 4.31854i | −0.183813 | − | 0.239549i | ||||
\(326\) | 6.40377 | − | 15.3619i | 0.354672 | − | 0.850816i | ||||
\(327\) | 2.90296 | − | 21.0304i | 0.160534 | − | 1.16298i | ||||
\(328\) | −5.71503 | − | 0.0387048i | −0.315560 | − | 0.00213711i | ||||
\(329\) | 7.23207 | − | 8.08257i | 0.398717 | − | 0.445606i | ||||
\(330\) | 0.786601 | − | 1.33599i | 0.0433009 | − | 0.0735439i | ||||
\(331\) | 17.9655 | − | 2.36521i | 0.987475 | − | 0.130004i | 0.380548 | − | 0.924761i | \(-0.375735\pi\) |
0.606927 | + | 0.794758i | \(0.292402\pi\) | |||||||
\(332\) | −4.62162 | − | 3.57956i | −0.253644 | − | 0.196454i | ||||
\(333\) | 6.10803 | − | 0.726338i | 0.334718 | − | 0.0398031i | ||||
\(334\) | 14.0043 | + | 8.12758i | 0.766280 | + | 0.444722i | ||||
\(335\) | − | 7.64813i | − | 0.417862i | ||||||
\(336\) | −17.8820 | − | 4.02921i | −0.975542 | − | 0.219812i | ||||
\(337\) | 20.5265i | 1.11815i | 0.829117 | + | 0.559075i | \(0.188843\pi\) | ||||
−0.829117 | + | 0.559075i | \(0.811157\pi\) | |||||||
\(338\) | −7.35035 | + | 12.6651i | −0.399806 | + | 0.688889i | ||||
\(339\) | 0.175892 | − | 28.0520i | 0.00955315 | − | 1.52357i | ||||
\(340\) | −4.43752 | + | 0.563841i | −0.240659 | + | 0.0305786i | ||||
\(341\) | 2.95108 | − | 0.388517i | 0.159810 | − | 0.0210394i | ||||
\(342\) | −16.0032 | − | 6.90793i | −0.865356 | − | 0.373538i | ||||
\(343\) | −10.7453 | + | 15.0844i | −0.580192 | + | 0.814480i | ||||
\(344\) | −6.76526 | − | 16.6509i | −0.364759 | − | 0.897754i | ||||
\(345\) | 18.3901 | + | 2.53851i | 0.990090 | + | 0.136669i | ||||
\(346\) | 16.8288 | + | 7.01528i | 0.904724 | + | 0.377144i | ||||
\(347\) | 1.66965 | + | 2.17594i | 0.0896317 | + | 0.116810i | 0.836016 | − | 0.548704i | \(-0.184879\pi\) |
−0.746385 | + | 0.665515i | \(0.768212\pi\) | |||||||
\(348\) | 2.37760 | − | 3.03031i | 0.127453 | − | 0.162441i | ||||
\(349\) | −22.7564 | + | 9.42600i | −1.21812 | + | 0.504562i | −0.896812 | − | 0.442412i | \(-0.854123\pi\) |
−0.321309 | + | 0.946974i | \(0.604123\pi\) | |||||||
\(350\) | 8.37097 | − | 9.31301i | 0.447447 | − | 0.497802i | ||||
\(351\) | −7.86765 | + | 3.08682i | −0.419944 | + | 0.164762i | ||||
\(352\) | 1.03650 | + | 2.58446i | 0.0552455 | + | 0.137752i | ||||
\(353\) | 6.42867 | + | 3.71159i | 0.342164 | + | 0.197548i | 0.661228 | − | 0.750185i | \(-0.270035\pi\) |
−0.319065 | + | 0.947733i | \(0.603369\pi\) | |||||||
\(354\) | −10.1574 | + | 13.0062i | −0.539860 | + | 0.691273i | ||||
\(355\) | 11.9900 | − | 15.6256i | 0.636362 | − | 0.829323i | ||||
\(356\) | 24.5321 | − | 6.45480i | 1.30020 | − | 0.342104i | ||||
\(357\) | 7.79172 | + | 1.68187i | 0.412381 | + | 0.0890139i | ||||
\(358\) | −2.53136 | + | 0.327448i | −0.133787 | + | 0.0173062i | ||||
\(359\) | −4.34886 | + | 16.2302i | −0.229524 | + | 0.856596i | 0.751017 | + | 0.660283i | \(0.229564\pi\) |
−0.980541 | + | 0.196313i | \(0.937103\pi\) | |||||||
\(360\) | 8.52596 | + | 6.80777i | 0.449357 | + | 0.358801i | ||||
\(361\) | −0.548940 | − | 2.04867i | −0.0288916 | − | 0.107825i | ||||
\(362\) | −10.2354 | − | 1.37103i | −0.537963 | − | 0.0720600i | ||||
\(363\) | −17.9674 | − | 4.93530i | −0.943043 | − | 0.259036i | ||||
\(364\) | 8.10894 | + | 2.88428i | 0.425024 | + | 0.151177i | ||||
\(365\) | 16.8911 | − | 6.99651i | 0.884118 | − | 0.366214i | ||||
\(366\) | 0.467825 | − | 1.10274i | 0.0244536 | − | 0.0576410i | ||||
\(367\) | 14.9785 | − | 25.9436i | 0.781874 | − | 1.35424i | −0.148975 | − | 0.988841i | \(-0.547598\pi\) |
0.930849 | − | 0.365404i | \(-0.119069\pi\) | |||||||
\(368\) | −23.7891 | + | 23.3633i | −1.24009 | + | 1.21790i | ||||
\(369\) | −4.23229 | − | 4.33979i | −0.220324 | − | 0.225920i | ||||
\(370\) | 1.85690 | + | 3.23307i | 0.0965354 | + | 0.168079i | ||||
\(371\) | 7.15299 | + | 4.88335i | 0.371365 | + | 0.253531i | ||||
\(372\) | −0.225910 | + | 20.9458i | −0.0117129 | + | 1.08599i | ||||
\(373\) | −2.73227 | − | 20.7537i | −0.141472 | − | 1.07458i | −0.903970 | − | 0.427595i | \(-0.859361\pi\) |
0.762499 | − | 0.646990i | \(-0.223972\pi\) | |||||||
\(374\) | −0.460864 | − | 1.11977i | −0.0238307 | − | 0.0579018i | ||||
\(375\) | −17.2181 | + | 7.00581i | −0.889138 | + | 0.361778i | ||||
\(376\) | 3.07669 | − | 11.1790i | 0.158668 | − | 0.576511i | ||||
\(377\) | −1.27880 | + | 1.27880i | −0.0658615 | + | 0.0658615i | ||||
\(378\) | −10.2946 | − | 16.4931i | −0.529498 | − | 0.848311i | ||||
\(379\) | −9.92118 | − | 4.10949i | −0.509617 | − | 0.211090i | 0.113032 | − | 0.993591i | \(-0.463944\pi\) |
−0.622649 | + | 0.782501i | \(0.713944\pi\) | |||||||
\(380\) | 0.0477009 | − | 10.5652i | 0.00244700 | − | 0.541981i | ||||
\(381\) | −32.7530 | − | 0.205369i | −1.67799 | − | 0.0105214i | ||||
\(382\) | −3.59082 | − | 3.60706i | −0.183722 | − | 0.184553i | ||||
\(383\) | −13.6571 | − | 23.6548i | −0.697846 | − | 1.20871i | −0.969212 | − | 0.246229i | \(-0.920808\pi\) |
0.271365 | − | 0.962476i | \(-0.412525\pi\) | |||||||
\(384\) | −19.0355 | + | 4.65281i | −0.971403 | + | 0.237438i | ||||
\(385\) | −1.49442 | − | 0.755587i | −0.0761629 | − | 0.0385083i | ||||
\(386\) | −0.0559630 | + | 0.206987i | −0.00284844 | + | 0.0105353i | ||||
\(387\) | 7.51536 | − | 17.5190i | 0.382027 | − | 0.890542i | ||||
\(388\) | 17.5027 | − | 10.0001i | 0.888563 | − | 0.507677i | ||||
\(389\) | 1.64205 | − | 1.25999i | 0.0832550 | − | 0.0638838i | −0.566295 | − | 0.824202i | \(-0.691624\pi\) |
0.649550 | + | 0.760319i | \(0.274957\pi\) | |||||||
\(390\) | −3.59133 | − | 3.65311i | −0.181854 | − | 0.184982i | ||||
\(391\) | 10.2528 | − | 10.2528i | 0.518508 | − | 0.518508i | ||||
\(392\) | −3.10773 | + | 19.5536i | −0.156964 | + | 0.987604i | ||||
\(393\) | −4.57292 | + | 5.88280i | −0.230673 | + | 0.296748i | ||||
\(394\) | −16.2923 | − | 2.18235i | −0.820795 | − | 0.109945i | ||||
\(395\) | −5.92417 | + | 4.54577i | −0.298077 | + | 0.228723i | ||||
\(396\) | −1.17661 | + | 2.70897i | −0.0591270 | + | 0.136131i | ||||
\(397\) | −18.8737 | + | 24.5967i | −0.947246 | + | 1.23447i | 0.0248021 | + | 0.999692i | \(0.492104\pi\) |
−0.972048 | + | 0.234782i | \(0.924562\pi\) | |||||||
\(398\) | −7.49207 | − | 13.0446i | −0.375544 | − | 0.653865i | ||||
\(399\) | −6.34053 | + | 17.7273i | −0.317423 | + | 0.887476i | ||||
\(400\) | 3.58137 | − | 12.8988i | 0.179069 | − | 0.644942i | ||||
\(401\) | 8.65420 | + | 14.9895i | 0.432170 | + | 0.748540i | 0.997060 | − | 0.0766259i | \(-0.0244147\pi\) |
−0.564890 | + | 0.825166i | \(0.691081\pi\) | |||||||
\(402\) | 1.77850 | + | 14.4609i | 0.0887033 | + | 0.721244i | ||||
\(403\) | 1.28376 | − | 9.75112i | 0.0639486 | − | 0.485738i | ||||
\(404\) | −3.62876 | + | 8.64994i | −0.180538 | + | 0.430351i | ||||
\(405\) | 1.22228 | + | 11.5075i | 0.0607358 | + | 0.571814i | ||||
\(406\) | −3.43066 | − | 2.35348i | −0.170261 | − | 0.116801i | ||||
\(407\) | −0.713665 | + | 0.713665i | −0.0353751 | + | 0.0353751i | ||||
\(408\) | 8.25924 | − | 2.09800i | 0.408893 | − | 0.103866i | ||||
\(409\) | −13.2423 | + | 3.54826i | −0.654789 | + | 0.175450i | −0.570893 | − | 0.821024i | \(-0.693403\pi\) |
−0.0838959 | + | 0.996475i | \(0.526736\pi\) | |||||||
\(410\) | 1.41375 | − | 3.39143i | 0.0698203 | − | 0.167491i | ||||
\(411\) | 5.24663 | + | 20.0836i | 0.258797 | + | 0.990649i | ||||
\(412\) | −16.5217 | + | 4.34712i | −0.813965 | + | 0.214167i | ||||
\(413\) | 14.7213 | + | 10.0502i | 0.724388 | + | 0.494539i | ||||
\(414\) | −35.3618 | − | 0.523313i | −1.73794 | − | 0.0257194i | ||||
\(415\) | 3.25473 | − | 1.87912i | 0.159769 | − | 0.0922425i | ||||
\(416\) | 9.13513 | − | 1.09792i | 0.447886 | − | 0.0538298i | ||||
\(417\) | −3.35297 | − | 1.41354i | −0.164196 | − | 0.0692213i | ||||
\(418\) | 2.76423 | − | 0.733990i | 0.135203 | − | 0.0359006i | ||||
\(419\) | 21.4772 | − | 8.89614i | 1.04923 | − | 0.434605i | 0.209612 | − | 0.977785i | \(-0.432780\pi\) |
0.839616 | + | 0.543180i | \(0.182780\pi\) | |||||||
\(420\) | 6.74915 | − | 9.66056i | 0.329325 | − | 0.471387i | ||||
\(421\) | −0.898205 | + | 2.16846i | −0.0437759 | + | 0.105684i | −0.944255 | − | 0.329215i | \(-0.893216\pi\) |
0.900479 | + | 0.434899i | \(0.143216\pi\) | |||||||
\(422\) | 22.9879 | − | 17.5569i | 1.11903 | − | 0.854656i | ||||
\(423\) | 10.7266 | − | 6.01494i | 0.521545 | − | 0.292456i | ||||
\(424\) | 9.17136 | + | 1.27068i | 0.445400 | + | 0.0617096i | ||||
\(425\) | −1.50669 | + | 5.62306i | −0.0730854 | + | 0.272758i | ||||
\(426\) | −19.0368 | + | 32.3327i | −0.922334 | + | 1.56653i | ||||
\(427\) | −1.22097 | − | 0.428090i | −0.0590871 | − | 0.0207167i | ||||
\(428\) | 17.6793 | + | 23.2568i | 0.854561 | + | 1.12416i | ||||
\(429\) | 0.700886 | − | 1.19658i | 0.0338391 | − | 0.0577714i | ||||
\(430\) | 11.5547 | + | 0.0260842i | 0.557218 | + | 0.00125789i | ||||
\(431\) | −0.281144 | − | 0.162318i | −0.0135422 | − | 0.00781860i | 0.493214 | − | 0.869908i | \(-0.335822\pi\) |
−0.506756 | + | 0.862090i | \(0.669155\pi\) | |||||||
\(432\) | −17.7037 | − | 10.8893i | −0.851772 | − | 0.523913i | ||||
\(433\) | 9.68527i | 0.465444i | 0.972543 | + | 0.232722i | \(0.0747633\pi\) | ||||
−0.972543 | + | 0.232722i | \(0.925237\pi\) | |||||||
\(434\) | 22.5934 | − | 1.20357i | 1.08452 | − | 0.0577731i | ||||
\(435\) | 1.22467 | + | 2.15225i | 0.0587185 | + | 0.103192i | ||||
\(436\) | −22.6902 | + | 9.27878i | −1.08666 | + | 0.444373i | ||||
\(437\) | 20.8481 | + | 27.1698i | 0.997302 | + | 1.29971i | ||||
\(438\) | −30.3102 | + | 17.1567i | −1.44828 | + | 0.819777i | ||||
\(439\) | 3.24814 | − | 12.1222i | 0.155025 | − | 0.578561i | −0.844078 | − | 0.536220i | \(-0.819852\pi\) |
0.999103 | − | 0.0423412i | \(-0.0134817\pi\) | |||||||
\(440\) | −1.79016 | − | 0.0121238i | −0.0853425 | − | 0.000577977i | ||||
\(441\) | −17.0668 | + | 12.2361i | −0.812706 | + | 0.582674i | ||||
\(442\) | −3.96805 | + | 0.513294i | −0.188741 | + | 0.0244149i | ||||
\(443\) | −37.0417 | + | 4.87663i | −1.75990 | + | 0.231696i | −0.940088 | − | 0.340932i | \(-0.889258\pi\) |
−0.819816 | + | 0.572627i | \(0.805924\pi\) | |||||||
\(444\) | −4.26279 | − | 5.68120i | −0.202303 | − | 0.269618i | ||||
\(445\) | −2.12870 | + | 16.1691i | −0.100910 | + | 0.766489i | ||||
\(446\) | −3.48300 | − | 13.1171i | −0.164925 | − | 0.621114i | ||||
\(447\) | −5.12126 | − | 40.8789i | −0.242227 | − | 1.93351i | ||||
\(448\) | 6.33042 | + | 20.1972i | 0.299084 | + | 0.954227i | ||||
\(449\) | − | 4.87830i | − | 0.230221i | −0.993353 | − | 0.115111i | \(-0.963278\pi\) | ||
0.993353 | − | 0.115111i | \(-0.0367223\pi\) | |||||||
\(450\) | 12.4003 | − | 6.91669i | 0.584554 | − | 0.326056i | ||||
\(451\) | 0.986127 | + | 0.129826i | 0.0464349 | + | 0.00611327i | ||||
\(452\) | −28.1254 | + | 16.0693i | −1.32291 | + | 0.755837i | ||||
\(453\) | −6.08005 | − | 23.2738i | −0.285666 | − | 1.09350i | ||||
\(454\) | −4.06801 | − | 31.4481i | −0.190921 | − | 1.47593i | ||||
\(455\) | −3.68961 | + | 4.12352i | −0.172972 | + | 0.193313i | ||||
\(456\) | 2.36663 | + | 19.9874i | 0.110828 | + | 0.935996i | ||||
\(457\) | −5.18444 | − | 1.38917i | −0.242518 | − | 0.0649825i | 0.135513 | − | 0.990776i | \(-0.456732\pi\) |
−0.378031 | + | 0.925793i | \(0.623399\pi\) | |||||||
\(458\) | 32.1726 | − | 13.2413i | 1.50333 | − | 0.618726i | ||||
\(459\) | 7.74114 | + | 4.66566i | 0.361326 | + | 0.217774i | ||||
\(460\) | −8.11386 | − | 19.8415i | −0.378311 | − | 0.925115i | ||||
\(461\) | 0.0979730 | − | 0.0405817i | 0.00456306 | − | 0.00189008i | −0.380401 | − | 0.924822i | \(-0.624214\pi\) |
0.384964 | + | 0.922932i | \(0.374214\pi\) | |||||||
\(462\) | 3.00132 | + | 1.08113i | 0.139634 | + | 0.0502988i | ||||
\(463\) | 39.0331 | 1.81402 | 0.907012 | − | 0.421106i | \(-0.138358\pi\) | ||||
0.907012 | + | 0.421106i | \(0.138358\pi\) | |||||||
\(464\) | −4.40411 | − | 0.620318i | −0.204456 | − | 0.0287976i | ||||
\(465\) | −12.4093 | − | 5.23148i | −0.575466 | − | 0.242604i | ||||
\(466\) | 0.0255210 | − | 11.3052i | 0.00118224 | − | 0.523704i | ||||
\(467\) | 10.9603 | − | 14.2838i | 0.507184 | − | 0.660975i | −0.467648 | − | 0.883915i | \(-0.654899\pi\) |
0.974832 | + | 0.222940i | \(0.0715653\pi\) | |||||||
\(468\) | 7.63988 | + | 6.07207i | 0.353154 | + | 0.280682i | ||||
\(469\) | 15.4647 | − | 2.91612i | 0.714093 | − | 0.134654i | ||||
\(470\) | 5.90358 | + | 4.55118i | 0.272312 | + | 0.209930i | ||||
\(471\) | −17.9530 | − | 2.47817i | −0.827228 | − | 0.114188i | ||||
\(472\) | 18.8752 | + | 2.61513i | 0.868802 | + | 0.120371i | ||||
\(473\) | 0.809555 | + | 3.02130i | 0.0372234 | + | 0.138920i | ||||
\(474\) | 10.1442 | − | 9.97263i | 0.465938 | − | 0.458058i | ||||
\(475\) | −12.7030 | − | 5.26175i | −0.582853 | − | 0.241426i | ||||
\(476\) | −2.83206 | − | 8.75779i | −0.129807 | − | 0.401413i | ||||
\(477\) | 5.88024 | + | 7.86557i | 0.269238 | + | 0.360140i | ||||
\(478\) | −0.237336 | − | 0.893818i | −0.0108555 | − | 0.0408823i | ||||
\(479\) | 16.0872 | − | 27.8639i | 0.735044 | − | 1.27313i | −0.219661 | − | 0.975576i | \(-0.570495\pi\) |
0.954704 | − | 0.297556i | \(-0.0961716\pi\) | |||||||
\(480\) | 1.86344 | − | 12.4597i | 0.0850542 | − | 0.568706i | ||||
\(481\) | 1.66745 | + | 2.88811i | 0.0760291 | + | 0.131686i | ||||
\(482\) | 7.96725 | + | 2.15411i | 0.362898 | + | 0.0981169i | ||||
\(483\) | 1.87895 | + | 38.1531i | 0.0854951 | + | 1.73603i | ||||
\(484\) | 5.47471 | + | 20.8072i | 0.248850 | + | 0.945782i | ||||
\(485\) | 1.69157 | + | 12.8488i | 0.0768104 | + | 0.583433i | ||||
\(486\) | −4.98702 | − | 21.4739i | −0.226216 | − | 0.974077i | ||||
\(487\) | −6.95980 | − | 25.9743i | −0.315379 | − | 1.17701i | −0.923636 | − | 0.383270i | \(-0.874798\pi\) |
0.608258 | − | 0.793740i | \(-0.291869\pi\) | |||||||
\(488\) | −1.37254 | + | 0.171250i | −0.0621319 | + | 0.00775212i | ||||
\(489\) | −16.0933 | − | 12.5099i | −0.727765 | − | 0.565719i | ||||
\(490\) | −10.8795 | − | 6.60757i | −0.491486 | − | 0.298500i | ||||
\(491\) | 30.8066 | + | 12.7605i | 1.39028 | + | 0.575874i | 0.947210 | − | 0.320613i | \(-0.103889\pi\) |
0.443072 | + | 0.896486i | \(0.353889\pi\) | |||||||
\(492\) | −1.88445 | + | 6.74118i | −0.0849574 | + | 0.303916i | ||||
\(493\) | 1.91754 | + | 0.252449i | 0.0863617 | + | 0.0113697i | ||||
\(494\) | 0.0213334 | − | 9.45022i | 0.000959835 | − | 0.425185i | ||||
\(495\) | −1.32571 | − | 1.35938i | −0.0595861 | − | 0.0610996i | ||||
\(496\) | 21.0554 | − | 11.9041i | 0.945415 | − | 0.534512i | ||||
\(497\) | 36.1670 | + | 18.2862i | 1.62231 | + | 0.820247i | ||||
\(498\) | −5.71700 | + | 4.30985i | −0.256185 | + | 0.193129i | ||||
\(499\) | −26.8177 | − | 20.5780i | −1.20053 | − | 0.921196i | −0.202218 | − | 0.979340i | \(-0.564815\pi\) |
−0.998308 | + | 0.0581440i | \(0.981482\pi\) | |||||||
\(500\) | 16.9698 | + | 13.1435i | 0.758911 | + | 0.587796i | ||||
\(501\) | 14.1102 | − | 13.9344i | 0.630399 | − | 0.622543i | ||||
\(502\) | −4.64786 | + | 34.6986i | −0.207444 | + | 1.54867i | ||||
\(503\) | 16.3056 | − | 16.3056i | 0.727030 | − | 0.727030i | −0.242997 | − | 0.970027i | \(-0.578130\pi\) |
0.970027 | + | 0.242997i | \(0.0781305\pi\) | |||||||
\(504\) | −10.5147 | + | 19.8354i | −0.468360 | + | 0.883538i | ||||
\(505\) | −4.26429 | − | 4.26429i | −0.189758 | − | 0.189758i | ||||
\(506\) | 4.61168 | − | 3.52215i | 0.205014 | − | 0.156579i | ||||
\(507\) | 12.6019 | + | 12.7609i | 0.559668 | + | 0.566731i | ||||
\(508\) | 18.7623 | + | 32.8387i | 0.832442 | + | 1.45698i | ||||
\(509\) | 9.96036 | − | 12.9806i | 0.441485 | − | 0.575355i | −0.518616 | − | 0.855007i | \(-0.673553\pi\) |
0.960101 | + | 0.279653i | \(0.0902193\pi\) | |||||||
\(510\) | −0.761384 | + | 5.42537i | −0.0337147 | + | 0.240239i | ||||
\(511\) | 20.5874 | + | 31.4864i | 0.910733 | + | 1.39288i | ||||
\(512\) | 15.6716 | + | 16.3217i | 0.692596 | + | 0.721326i | ||||
\(513\) | −13.3121 | + | 16.6890i | −0.587742 | + | 0.736838i | ||||
\(514\) | −19.1684 | + | 19.0821i | −0.845482 | + | 0.841674i | ||||
\(515\) | 1.43362 | − | 10.8894i | 0.0631728 | − | 0.479845i | ||||
\(516\) | −21.8534 | + | 2.63761i | −0.962044 | + | 0.116115i | ||||
\(517\) | −0.772203 | + | 1.86426i | −0.0339615 | + | 0.0819902i | ||||
\(518\) | −5.82933 | + | 4.98740i | −0.256126 | + | 0.219134i | ||||
\(519\) | 13.7045 | − | 17.6301i | 0.601563 | − | 0.773876i | ||||
\(520\) | −1.56965 | + | 5.70322i | −0.0688335 | + | 0.250103i | ||||
\(521\) | 26.2088 | − | 7.02263i | 1.14823 | − | 0.307667i | 0.365974 | − | 0.930625i | \(-0.380736\pi\) |
0.782255 | + | 0.622958i | \(0.214069\pi\) | |||||||
\(522\) | −2.81606 | − | 3.78462i | −0.123256 | − | 0.165649i | ||||
\(523\) | 34.3552 | − | 4.52295i | 1.50225 | − | 0.197775i | 0.665929 | − | 0.746015i | \(-0.268035\pi\) |
0.836321 | + | 0.548240i | \(0.184702\pi\) | |||||||
\(524\) | 8.52502 | + | 1.16152i | 0.372417 | + | 0.0507413i | ||||
\(525\) | −8.31227 | − | 12.8885i | −0.362777 | − | 0.562502i | ||||
\(526\) | −21.5443 | + | 12.3739i | −0.939377 | + | 0.539526i | ||||
\(527\) | −9.10909 | + | 5.25914i | −0.396798 | + | 0.229092i | ||||
\(528\) | 3.38761 | − | 0.393360i | 0.147427 | − | 0.0171188i | ||||
\(529\) | 40.2574 | + | 23.2426i | 1.75032 | + | 1.01055i | ||||
\(530\) | −2.98794 | + | 5.14839i | −0.129788 | + | 0.223632i | ||||
\(531\) | 12.1019 | + | 16.1878i | 0.525178 | + | 0.702492i | ||||
\(532\) | 21.3812 | − | 3.93188i | 0.926991 | − | 0.170469i | ||||
\(533\) | 1.25770 | − | 3.03636i | 0.0544770 | − | 0.131519i | ||||
\(534\) | 0.264934 | − | 31.0671i | 0.0114648 | − | 1.34441i | ||||
\(535\) | −18.1416 | + | 4.86102i | −0.784329 | + | 0.210160i | ||||
\(536\) | 13.4163 | − | 10.1511i | 0.579495 | − | 0.438459i | ||||
\(537\) | −0.427464 | + | 3.09674i | −0.0184464 | + | 0.133634i | ||||
\(538\) | −1.50488 | − | 11.6336i | −0.0648801 | − | 0.501560i | ||||
\(539\) | 0.958012 | − | 3.30985i | 0.0412645 | − | 0.142565i | ||||
\(540\) | 10.7880 | − | 7.88511i | 0.464243 | − | 0.339321i | ||||
\(541\) | 7.30838 | + | 5.60792i | 0.314212 | + | 0.241103i | 0.753812 | − | 0.657090i | \(-0.228213\pi\) |
−0.439600 | + | 0.898194i | \(0.644880\pi\) | |||||||
\(542\) | 21.7856 | + | 21.8842i | 0.935774 | + | 0.940008i | ||||
\(543\) | −4.91326 | + | 11.6544i | −0.210848 | + | 0.500140i | ||||
\(544\) | −6.87883 | − | 7.03590i | −0.294927 | − | 0.301662i | ||||
\(545\) | − | 15.7602i | − | 0.675092i | ||||||
\(546\) | 6.01735 | − | 8.65462i | 0.257519 | − | 0.370384i | ||||
\(547\) | −8.20867 | − | 19.8175i | −0.350977 | − | 0.847334i | −0.996500 | − | 0.0835931i | \(-0.973360\pi\) |
0.645523 | − | 0.763741i | \(-0.276640\pi\) | |||||||
\(548\) | 17.0248 | − | 16.8718i | 0.727265 | − | 0.720727i | ||||
\(549\) | −1.15263 | − | 0.907630i | −0.0491928 | − | 0.0387367i | ||||
\(550\) | −0.896419 | + | 2.15040i | −0.0382234 | + | 0.0916935i | ||||
\(551\) | −1.18232 | + | 4.41247i | −0.0503684 | + | 0.187977i | ||||
\(552\) | 19.9554 | + | 35.6290i | 0.849359 | + | 1.51647i | ||||
\(553\) | −11.4504 | − | 10.2456i | −0.486923 | − | 0.435686i | ||||
\(554\) | −19.5862 | + | 25.4063i | −0.832140 | + | 1.07941i | ||||
\(555\) | 4.41804 | − | 1.15417i | 0.187535 | − | 0.0489918i | ||||
\(556\) | 0.529614 | + | 4.16815i | 0.0224606 | + | 0.176769i | ||||
\(557\) | −2.59852 | + | 19.7377i | −0.110103 | + | 0.836313i | 0.843897 | + | 0.536505i | \(0.180256\pi\) |
−0.954000 | + | 0.299808i | \(0.903077\pi\) | |||||||
\(558\) | 24.6797 | + | 7.00590i | 1.04477 | + | 0.296584i | ||||
\(559\) | 10.3353 | 0.437137 | ||||||||
\(560\) | −13.5592 | − | 1.14783i | −0.572981 | − | 0.0485045i | ||||
\(561\) | −1.47154 | + | 0.184353i | −0.0621284 | + | 0.00778338i | ||||
\(562\) | 4.85757 | − | 8.36986i | 0.204904 | − | 0.353061i | ||||
\(563\) | −42.9040 | − | 5.64842i | −1.80819 | − | 0.238053i | −0.850524 | − | 0.525936i | \(-0.823715\pi\) |
−0.957665 | + | 0.287884i | \(0.907048\pi\) | |||||||
\(564\) | −12.2207 | − | 7.23244i | −0.514583 | − | 0.304541i | ||||
\(565\) | −2.71822 | − | 20.6470i | −0.114357 | − | 0.868624i | ||||
\(566\) | 19.0805 | − | 24.7502i | 0.802011 | − | 1.04033i | ||||
\(567\) | −22.8025 | + | 6.85914i | −0.957613 | + | 0.288057i | ||||
\(568\) | 43.3242 | + | 0.293411i | 1.81784 | + | 0.0123112i | ||||
\(569\) | −2.75246 | − | 0.737519i | −0.115389 | − | 0.0309184i | 0.200662 | − | 0.979660i | \(-0.435691\pi\) |
−0.316052 | + | 0.948742i | \(0.602357\pi\) | |||||||
\(570\) | −12.4698 | − | 3.45552i | −0.522303 | − | 0.144736i | ||||
\(571\) | −28.0033 | + | 21.4876i | −1.17190 | + | 0.899230i | −0.996360 | − | 0.0852423i | \(-0.972834\pi\) |
−0.175539 | + | 0.984472i | \(0.556167\pi\) | |||||||
\(572\) | −1.60125 | − | 0.00722954i | −0.0669517 | − | 0.000302282i | ||||
\(573\) | −5.41786 | + | 3.08287i | −0.226334 | + | 0.128789i | ||||
\(574\) | 7.39659 | + | 1.56554i | 0.308728 | + | 0.0653444i | ||||
\(575\) | −27.8973 | −1.16340 | ||||||||
\(576\) | −0.625968 | + | 23.9918i | −0.0260820 | + | 0.999660i | ||||
\(577\) | −9.94471 | + | 17.2248i | −0.414004 | + | 0.717076i | −0.995323 | − | 0.0965997i | \(-0.969203\pi\) |
0.581319 | + | 0.813675i | \(0.302537\pi\) | |||||||
\(578\) | −13.9427 | − | 14.0058i | −0.579941 | − | 0.582565i | ||||
\(579\) | 0.226598 | + | 0.132727i | 0.00941707 | + | 0.00551597i | ||||
\(580\) | 1.44085 | − | 2.46980i | 0.0598280 | − | 0.102553i | ||||
\(581\) | 5.04061 | + | 5.86466i | 0.209120 | + | 0.243307i | ||||
\(582\) | −6.18624 | − | 23.9008i | −0.256428 | − | 0.990720i | ||||
\(583\) | −1.55647 | − | 0.417056i | −0.0644625 | − | 0.0172727i | ||||
\(584\) | 34.6920 | + | 20.3439i | 1.43557 | + | 0.841839i | ||||
\(585\) | −5.47244 | + | 3.06866i | −0.226257 | + | 0.126874i | ||||
\(586\) | 19.5047 | + | 2.61265i | 0.805733 | + | 0.107928i | ||||
\(587\) | −38.8683 | − | 16.0998i | −1.60427 | − | 0.664509i | −0.612255 | − | 0.790660i | \(-0.709738\pi\) |
−0.992011 | + | 0.126151i | \(0.959738\pi\) | |||||||
\(588\) | 22.1072 | + | 9.96350i | 0.911686 | + | 0.410888i | ||||
\(589\) | −9.50705 | − | 22.9521i | −0.391731 | − | 0.945723i | ||||
\(590\) | −6.14937 | + | 10.5957i | −0.253166 | + | 0.436218i | ||||
\(591\) | −7.82071 | + | 18.5510i | −0.321701 | + | 0.763086i | ||||
\(592\) | −3.20684 | + | 7.54847i | −0.131800 | + | 0.310240i | ||||
\(593\) | −5.30449 | − | 9.18765i | −0.217829 | − | 0.377292i | 0.736315 | − | 0.676639i | \(-0.236564\pi\) |
−0.954144 | + | 0.299348i | \(0.903231\pi\) | |||||||
\(594\) | 2.82272 | + | 2.26200i | 0.115818 | + | 0.0928111i | ||||
\(595\) | 5.90067 | + | 0.445884i | 0.241904 | + | 0.0182795i | ||||
\(596\) | −37.8717 | + | 28.7892i | −1.55128 | + | 1.17925i | ||||
\(597\) | −17.8256 | + | 4.65676i | −0.729553 | + | 0.190589i | ||||
\(598\) | −7.29760 | − | 17.7311i | −0.298421 | − | 0.725078i | ||||
\(599\) | −5.53711 | − | 20.6648i | −0.226240 | − | 0.844339i | −0.981904 | − | 0.189380i | \(-0.939352\pi\) |
0.755664 | − | 0.654960i | \(-0.227314\pi\) | |||||||
\(600\) | −14.0907 | − | 8.38219i | −0.575251 | − | 0.342201i | ||||
\(601\) | 29.6762 | + | 29.6762i | 1.21052 | + | 1.21052i | 0.970856 | + | 0.239662i | \(0.0770367\pi\) |
0.239662 | + | 0.970856i | \(0.422963\pi\) | |||||||
\(602\) | 4.35290 | + | 23.3738i | 0.177411 | + | 0.952647i | ||||
\(603\) | 17.6611 | + | 2.55082i | 0.719215 | + | 0.103878i | ||||
\(604\) | −19.7292 | + | 19.5519i | −0.802770 | + | 0.795554i | ||||
\(605\) | −13.7140 | − | 1.80548i | −0.557553 | − | 0.0734033i | ||||
\(606\) | 9.05442 | + | 7.07119i | 0.367811 | + | 0.287247i | ||||
\(607\) | 30.0293 | − | 17.3374i | 1.21885 | − | 0.703704i | 0.254179 | − | 0.967157i | \(-0.418195\pi\) |
0.964672 | + | 0.263453i | \(0.0848614\pi\) | |||||||
\(608\) | 18.5966 | − | 13.9390i | 0.754192 | − | 0.565302i | ||||
\(609\) | −3.88494 | + | 3.29693i | −0.157426 | + | 0.133598i | ||||
\(610\) | 0.232094 | − | 0.858430i | 0.00939720 | − | 0.0347568i | ||||
\(611\) | 5.28971 | + | 4.05894i | 0.213999 | + | 0.164207i | ||||
\(612\) | 0.177991 | − | 10.4352i | 0.00719487 | − | 0.421818i | ||||
\(613\) | 23.1868 | + | 30.2177i | 0.936507 | + | 1.22048i | 0.975222 | + | 0.221230i | \(0.0710071\pi\) |
−0.0387143 | + | 0.999250i | \(0.512326\pi\) | |||||||
\(614\) | −32.1252 | + | 24.5355i | −1.29647 | + | 0.990172i | ||||
\(615\) | −3.55291 | − | 2.76181i | −0.143267 | − | 0.111367i | ||||
\(616\) | −0.658046 | − | 3.62436i | −0.0265134 | − | 0.146030i | ||||
\(617\) | −3.17065 | − | 3.17065i | −0.127645 | − | 0.127645i | 0.640398 | − | 0.768043i | \(-0.278769\pi\) |
−0.768043 | + | 0.640398i | \(0.778769\pi\) | |||||||
\(618\) | −0.178425 | + | 20.9228i | −0.00717731 | + | 0.841638i | ||||
\(619\) | 9.68775 | + | 12.6253i | 0.389383 | + | 0.507454i | 0.946378 | − | 0.323062i | \(-0.104712\pi\) |
−0.556994 | + | 0.830516i | \(0.688046\pi\) | |||||||
\(620\) | 1.96009 | + | 15.4263i | 0.0787192 | + | 0.619533i | ||||
\(621\) | −11.9954 | + | 41.6198i | −0.481361 | + | 1.67015i | ||||
\(622\) | −6.45047 | − | 11.2310i | −0.258640 | − | 0.450322i | ||||
\(623\) | −33.5059 | + | 1.86075i | −1.34239 | + | 0.0745494i | ||||
\(624\) | 1.64162 | − | 11.1485i | 0.0657174 | − | 0.446297i | ||||
\(625\) | 2.54081 | − | 1.46694i | 0.101633 | − | 0.0586776i | ||||
\(626\) | −0.00756973 | + | 3.35322i | −0.000302547 | + | 0.134022i | ||||
\(627\) | 0.0219629 | − | 3.50273i | 0.000877113 | − | 0.139886i | ||||
\(628\) | 7.92099 | + | 19.3698i | 0.316082 | + | 0.772941i | ||||
\(629\) | 1.36484 | − | 3.29501i | 0.0544196 | − | 0.131381i | ||||
\(630\) | −9.24477 | − | 11.0838i | −0.368320 | − | 0.441589i | ||||
\(631\) | 0.708057 | + | 0.708057i | 0.0281873 | + | 0.0281873i | 0.721060 | − | 0.692873i | \(-0.243655\pi\) |
−0.692873 | + | 0.721060i | \(0.743655\pi\) | |||||||
\(632\) | −15.8371 | − | 4.35869i | −0.629964 | − | 0.173379i | ||||
\(633\) | −13.3516 | − | 32.8141i | −0.530679 | − | 1.30424i | ||||
\(634\) | 2.42044 | − | 5.80635i | 0.0961279 | − | 0.230600i | ||||
\(635\) | −24.1071 | + | 3.17375i | −0.956660 | + | 0.125947i | ||||
\(636\) | 4.45232 | − | 10.4293i | 0.176546 | − | 0.413547i | ||||
\(637\) | −9.74464 | − | 5.88825i | −0.386097 | − | 0.233301i | ||||
\(638\) | 0.747204 | + | 0.202022i | 0.0295821 | + | 0.00799811i | ||||
\(639\) | 32.0838 | + | 32.8988i | 1.26922 | + | 1.30146i | ||||
\(640\) | −13.5262 | + | 5.35393i | −0.534670 | + | 0.211633i | ||||
\(641\) | −2.28337 | − | 1.31831i | −0.0901878 | − | 0.0520700i | 0.454228 | − | 0.890886i | \(-0.349915\pi\) |
−0.544416 | + | 0.838816i | \(0.683249\pi\) | |||||||
\(642\) | 33.1712 | − | 13.4097i | 1.30916 | − | 0.529240i | ||||
\(643\) | −8.13184 | − | 19.6320i | −0.320688 | − | 0.774210i | −0.999214 | − | 0.0396336i | \(-0.987381\pi\) |
0.678526 | − | 0.734576i | \(-0.262619\pi\) | |||||||
\(644\) | 37.0263 | − | 23.9717i | 1.45904 | − | 0.944616i | ||||
\(645\) | 3.74835 | − | 13.6462i | 0.147591 | − | 0.537318i | ||||
\(646\) | −8.03191 | + | 6.13434i | −0.316011 | + | 0.241352i | ||||
\(647\) | −8.35547 | + | 2.23884i | −0.328487 | + | 0.0880180i | −0.419294 | − | 0.907851i | \(-0.637722\pi\) |
0.0908063 | + | 0.995869i | \(0.471056\pi\) | |||||||
\(648\) | −18.5641 | + | 17.4176i | −0.729268 | + | 0.684229i | ||||
\(649\) | −3.20332 | − | 0.858327i | −0.125741 | − | 0.0336923i | ||||
\(650\) | 6.09674 | + | 4.70010i | 0.239134 | + | 0.184353i | ||||
\(651\) | 5.84671 | − | 27.0865i | 0.229151 | − | 1.06160i | ||||
\(652\) | −3.17752 | + | 23.3216i | −0.124441 | + | 0.913343i | ||||
\(653\) | −18.5047 | − | 14.1992i | −0.724145 | − | 0.555656i | 0.179593 | − | 0.983741i | \(-0.442522\pi\) |
−0.903739 | + | 0.428085i | \(0.859189\pi\) | |||||||
\(654\) | 3.66487 | + | 29.7989i | 0.143308 | + | 1.16523i | ||||
\(655\) | −2.76570 | + | 4.79034i | −0.108065 | + | 0.187174i | ||||
\(656\) | 7.82563 | − | 2.02132i | 0.305540 | − | 0.0789191i | ||||
\(657\) | 10.5228 | + | 41.3384i | 0.410534 | + | 1.61276i | ||||
\(658\) | −6.95165 | + | 13.6725i | −0.271003 | + | 0.533008i | ||||
\(659\) | 1.91215 | + | 4.61634i | 0.0744868 | + | 0.179827i | 0.956737 | − | 0.290953i | \(-0.0939724\pi\) |
−0.882250 | + | 0.470780i | \(0.843972\pi\) | |||||||
\(660\) | −0.590278 | + | 2.11159i | −0.0229765 | + | 0.0821934i | ||||
\(661\) | −11.0387 | + | 8.47026i | −0.429354 | + | 0.329455i | −0.800728 | − | 0.599029i | \(-0.795554\pi\) |
0.371374 | + | 0.928483i | \(0.378887\pi\) | |||||||
\(662\) | −23.6977 | + | 9.75331i | −0.921038 | + | 0.379073i | ||||
\(663\) | −0.670074 | + | 4.85432i | −0.0260235 | + | 0.188526i | ||||
\(664\) | 7.61622 | + | 3.21534i | 0.295567 | + | 0.124779i | ||||
\(665\) | −2.86324 | + | 13.6801i | −0.111032 | + | 0.530491i | ||||
\(666\) | −8.08513 | + | 3.20965i | −0.313292 | + | 0.124371i | ||||
\(667\) | 1.20978 | + | 9.18921i | 0.0468430 | + | 0.355808i | ||||
\(668\) | −22.0916 | − | 6.02645i | −0.854748 | − | 0.233170i | ||||
\(669\) | −16.6215 | − | 0.104221i | −0.642625 | − | 0.00402940i | ||||
\(670\) | 2.77582 | + | 10.4538i | 0.107239 | + | 0.403867i | ||||
\(671\) | 0.240721 | 0.00929294 | ||||||||
\(672\) | 25.9043 | − | 0.982779i | 0.999281 | − | 0.0379115i | ||||
\(673\) | 29.9251 | 1.15353 | 0.576765 | − | 0.816910i | \(-0.304315\pi\) | ||||
0.576765 | + | 0.816910i | \(0.304315\pi\) | |||||||
\(674\) | −7.44990 | − | 28.0566i | −0.286959 | − | 1.08070i | ||||
\(675\) | −4.18411 | − | 16.8791i | −0.161046 | − | 0.649677i | ||||
\(676\) | 5.45014 | − | 19.9790i | 0.209621 | − | 0.768421i | ||||
\(677\) | 5.68180 | + | 43.1575i | 0.218369 | + | 1.65868i | 0.652470 | + | 0.757815i | \(0.273733\pi\) |
−0.434100 | + | 0.900865i | \(0.642934\pi\) | |||||||
\(678\) | 9.94079 | + | 38.4066i | 0.381774 | + | 1.47500i | ||||
\(679\) | −25.3356 | + | 8.31945i | −0.972289 | + | 0.319271i | ||||
\(680\) | 5.86078 | − | 2.38124i | 0.224751 | − | 0.0913165i | ||||
\(681\) | −38.4720 | − | 5.31054i | −1.47425 | − | 0.203500i | ||||
\(682\) | −3.89267 | + | 1.60211i | −0.149058 | + | 0.0613480i | ||||
\(683\) | −2.77583 | + | 2.12997i | −0.106214 | + | 0.0815011i | −0.660503 | − | 0.750823i | \(-0.729657\pi\) |
0.554289 | + | 0.832324i | \(0.312990\pi\) | |||||||
\(684\) | 24.3812 | + | 3.63387i | 0.932237 | + | 0.138944i | ||||
\(685\) | 5.89701 | + | 14.2366i | 0.225313 | + | 0.543954i | ||||
\(686\) | 9.21246 | − | 24.5180i | 0.351733 | − | 0.936100i | ||||
\(687\) | −5.29673 | − | 42.2795i | −0.202083 | − | 1.61306i | ||||
\(688\) | 15.2904 | + | 20.3038i | 0.582940 | + | 0.774075i | ||||
\(689\) | −2.66220 | + | 4.61107i | −0.101422 | + | 0.175668i | ||||
\(690\) | −26.0578 | + | 3.20476i | −0.992004 | + | 0.122003i | ||||
\(691\) | 20.5646 | + | 15.7798i | 0.782314 | + | 0.600291i | 0.920783 | − | 0.390076i | \(-0.127551\pi\) |
−0.138468 | + | 0.990367i | \(0.544218\pi\) | |||||||
\(692\) | −25.5486 | − | 3.48096i | −0.971212 | − | 0.132326i | ||||
\(693\) | 2.24323 | − | 3.19892i | 0.0852131 | − | 0.121517i | ||||
\(694\) | −3.07190 | − | 2.36819i | −0.116608 | − | 0.0898952i | ||||
\(695\) | −2.60922 | − | 0.699139i | −0.0989735 | − | 0.0265199i | ||||
\(696\) | −2.14999 | + | 5.00489i | −0.0814952 | + | 0.189710i | ||||
\(697\) | −3.39500 | + | 0.909688i | −0.128595 | + | 0.0344569i | ||||
\(698\) | 27.6834 | − | 21.1431i | 1.04783 | − | 0.800279i | ||||
\(699\) | −13.3515 | − | 3.66741i | −0.505001 | − | 0.138714i | ||||
\(700\) | −8.06178 | + | 15.7676i | −0.304707 | + | 0.595961i | ||||
\(701\) | −15.9689 | − | 38.5523i | −0.603136 | − | 1.45610i | −0.870336 | − | 0.492458i | \(-0.836098\pi\) |
0.267200 | − | 0.963641i | \(-0.413902\pi\) | |||||||
\(702\) | 9.63355 | − | 7.07471i | 0.363595 | − | 0.267018i | ||||
\(703\) | 7.29514 | + | 4.21185i | 0.275141 | + | 0.158853i | ||||
\(704\) | −2.35474 | − | 3.15637i | −0.0887476 | − | 0.118960i | ||||
\(705\) | 7.27764 | − | 5.51218i | 0.274092 | − | 0.207601i | ||||
\(706\) | −10.1341 | − | 2.73996i | −0.381402 | − | 0.103120i | ||||
\(707\) | 6.99657 | − | 10.2484i | 0.263133 | − | 0.385430i | ||||
\(708\) | 9.16314 | − | 21.4641i | 0.344372 | − | 0.806669i | ||||
\(709\) | −24.7195 | + | 3.25438i | −0.928360 | + | 0.122221i | −0.579517 | − | 0.814960i | \(-0.696759\pi\) |
−0.348843 | + | 0.937181i | \(0.613425\pi\) | |||||||
\(710\) | −10.7173 | + | 25.7095i | −0.402213 | + | 0.964862i | ||||
\(711\) | −8.52127 | − | 15.1962i | −0.319572 | − | 0.569903i | ||||
\(712\) | −31.1890 | + | 17.7264i | −1.16886 | + | 0.664327i | ||||
\(713\) | −35.6421 | − | 35.6421i | −1.33481 | − | 1.33481i | ||||
\(714\) | −11.2605 | + | 0.529075i | −0.421414 | + | 0.0198001i | ||||
\(715\) | 0.393958 | − | 0.951099i | 0.0147332 | − | 0.0355691i | ||||
\(716\) | 3.34114 | − | 1.36631i | 0.124864 | − | 0.0510613i | ||||
\(717\) | −1.13261 | − | 0.00710172i | −0.0422981 | − | 0.000265219i | ||||
\(718\) | 0.0536428 | − | 23.7626i | 0.00200193 | − | 0.886811i | ||||
\(719\) | 40.0065 | − | 23.0978i | 1.49199 | − | 0.861401i | 0.492032 | − | 0.870577i | \(-0.336254\pi\) |
0.999958 | + | 0.00917582i | \(0.00292080\pi\) | |||||||
\(720\) | −14.1245 | − | 6.21078i | −0.526389 | − | 0.231462i | ||||
\(721\) | 22.5652 | − | 1.25316i | 0.840374 | − | 0.0466701i | ||||
\(722\) | 1.49386 | + | 2.60099i | 0.0555959 | + | 0.0967989i | ||||
\(723\) | 5.10889 | − | 8.72210i | 0.190002 | − | 0.324379i | ||||
\(724\) | 14.4879 | − | 1.84086i | 0.538438 | − | 0.0684151i | ||||
\(725\) | −2.26531 | − | 2.95221i | −0.0841314 | − | 0.109642i | ||||
\(726\) | 26.3499 | + | 0.224707i | 0.977937 | + | 0.00833964i | ||||
\(727\) | 29.2754 | + | 29.2754i | 1.08577 | + | 1.08577i | 0.995959 | + | 0.0898062i | \(0.0286248\pi\) |
0.0898062 | + | 0.995959i | \(0.471375\pi\) | |||||||
\(728\) | −12.1305 | − | 0.999307i | −0.449587 | − | 0.0370368i | ||||
\(729\) | −26.9809 | − | 1.01552i | −0.999292 | − | 0.0376120i | ||||
\(730\) | −20.5482 | + | 15.6936i | −0.760523 | + | 0.580847i | ||||
\(731\) | −6.72867 | − | 8.76897i | −0.248869 | − | 0.324332i | ||||
\(732\) | −0.239218 | + | 1.67707i | −0.00884174 | + | 0.0619862i | ||||
\(733\) | −5.47458 | − | 4.20079i | −0.202208 | − | 0.155160i | 0.502694 | − | 0.864465i | \(-0.332342\pi\) |
−0.704902 | + | 0.709305i | \(0.749009\pi\) | |||||||
\(734\) | −11.0574 | + | 40.8973i | −0.408136 | + | 1.50955i | ||||
\(735\) | −11.3087 | + | 10.7308i | −0.417126 | + | 0.395811i | ||||
\(736\) | 24.0366 | − | 40.5681i | 0.886000 | − | 1.49536i | ||||
\(737\) | −2.53566 | + | 1.46396i | −0.0934021 | + | 0.0539258i | ||||
\(738\) | 7.35998 | + | 4.39576i | 0.270925 | + | 0.161810i | ||||
\(739\) | −31.2131 | − | 4.10928i | −1.14819 | − | 0.151162i | −0.467679 | − | 0.883898i | \(-0.654910\pi\) |
−0.680513 | + | 0.732736i | \(0.738243\pi\) | |||||||
\(740\) | −3.71151 | − | 3.74517i | −0.136438 | − | 0.137675i | ||||
\(741\) | −11.1608 | − | 3.06565i | −0.410000 | − | 0.112619i | ||||
\(742\) | −11.5494 | − | 4.07868i | −0.423993 | − | 0.149733i | ||||
\(743\) | 25.5939 | + | 25.5939i | 0.938951 | + | 0.938951i | 0.998241 | − | 0.0592902i | \(-0.0188837\pi\) |
−0.0592902 | + | 0.998241i | \(0.518884\pi\) | |||||||
\(744\) | −7.29331 | − | 28.7118i | −0.267386 | − | 1.05262i | ||||
\(745\) | −7.91576 | − | 29.5420i | −0.290011 | − | 1.08234i | ||||
\(746\) | 11.2670 | + | 27.3755i | 0.412513 | + | 1.00229i | ||||
\(747\) | 3.25375 | + | 8.14257i | 0.119048 | + | 0.297921i | ||||
\(748\) | 1.03634 | + | 1.36329i | 0.0378924 | + | 0.0498467i | ||||
\(749\) | −16.7462 | − | 34.8292i | −0.611893 | − | 1.27263i | ||||
\(750\) | 20.9918 | − | 15.8250i | 0.766512 | − | 0.577848i | ||||
\(751\) | 23.0828 | + | 39.9805i | 0.842303 | + | 1.45891i | 0.887943 | + | 0.459953i | \(0.152134\pi\) |
−0.0456409 | + | 0.998958i | \(0.514533\pi\) | |||||||
\(752\) | −0.148062 | + | 16.3966i | −0.00539926 | + | 0.597922i | ||||
\(753\) | 39.5090 | + | 16.6562i | 1.43979 | + | 0.606984i | ||||
\(754\) | 1.28380 | − | 2.21205i | 0.0467531 | − | 0.0805582i | ||||
\(755\) | −6.83374 | − | 16.4981i | −0.248705 | − | 0.600427i | ||||
\(756\) | 20.0572 | + | 18.8072i | 0.729473 | + | 0.684010i | ||||
\(757\) | −37.8087 | − | 15.6609i | −1.37418 | − | 0.569204i | −0.431261 | − | 0.902227i | \(-0.641931\pi\) |
−0.942919 | + | 0.333023i | \(0.891931\pi\) | |||||||
\(758\) | 15.0522 | + | 2.01624i | 0.546722 | + | 0.0732333i | ||||
\(759\) | −2.67851 | − | 6.58295i | −0.0972239 | − | 0.238946i | ||||
\(760\) | 3.76932 | + | 14.4583i | 0.136728 | + | 0.524457i | ||||
\(761\) | −47.0669 | − | 12.6115i | −1.70617 | − | 0.457168i | −0.731692 | − | 0.681635i | \(-0.761269\pi\) |
−0.974482 | + | 0.224467i | \(0.927936\pi\) | |||||||
\(762\) | 44.8430 | − | 11.6067i | 1.62449 | − | 0.420467i | ||||
\(763\) | 31.8674 | − | 6.00912i | 1.15368 | − | 0.217545i | ||||
\(764\) | 6.21725 | + | 3.62706i | 0.224932 | + | 0.131222i | ||||
\(765\) | 6.16636 | + | 2.64526i | 0.222945 | + | 0.0956397i | ||||
\(766\) | 27.2525 | + | 27.3758i | 0.984673 | + | 0.989129i | ||||
\(767\) | −5.47898 | + | 9.48987i | −0.197834 | + | 0.342659i | ||||
\(768\) | 24.3300 | − | 13.2684i | 0.877933 | − | 0.478784i | ||||
\(769\) | −26.7035 | −0.962953 | −0.481477 | − | 0.876459i | \(-0.659899\pi\) | ||||
−0.481477 | + | 0.876459i | \(0.659899\pi\) | |||||||
\(770\) | 2.31688 | + | 0.490385i | 0.0834947 | + | 0.0176723i | ||||
\(771\) | 16.3828 | + | 28.7912i | 0.590011 | + | 1.03689i | ||||
\(772\) | 0.00136906 | − | 0.303231i | 4.92737e−5 | − | 0.0109135i | ||||
\(773\) | 19.4118 | − | 14.8952i | 0.698194 | − | 0.535743i | −0.197561 | − | 0.980291i | \(-0.563302\pi\) |
0.895755 | + | 0.444547i | \(0.146635\pi\) | |||||||
\(774\) | −3.91399 | + | 26.6735i | −0.140686 | + | 0.958759i | ||||
\(775\) | 19.5476 | + | 5.23775i | 0.702169 | + | 0.188146i | ||||
\(776\) | −20.2941 | + | 20.0210i | −0.728514 | + | 0.718713i | ||||
\(777\) | 4.01829 | + | 8.49331i | 0.144155 | + | 0.304696i | ||||
\(778\) | −1.78713 | + | 2.31817i | −0.0640716 | + | 0.0831106i | ||||
\(779\) | −1.08357 | − | 8.23050i | −0.0388228 | − | 0.294888i | ||||
\(780\) | 6.23466 | + | 3.68980i | 0.223237 | + | 0.132116i | ||||
\(781\) | −7.47557 | − | 0.984178i | −0.267497 | − | 0.0352166i | ||||
\(782\) | −10.2929 | + | 17.7352i | −0.368073 | + | 0.634210i | ||||
\(783\) | −5.37842 | + | 2.11019i | −0.192209 | + | 0.0754121i | ||||
\(784\) | −2.84899 | − | 27.8547i | −0.101750 | − | 0.994810i | ||||
\(785\) | −13.4540 | −0.480192 | ||||||||
\(786\) | 4.11538 | − | 9.70059i | 0.146791 | − | 0.346009i | ||||
\(787\) | 6.08245 | − | 46.2008i | 0.216816 | − | 1.64688i | −0.443777 | − | 0.896137i | \(-0.646362\pi\) |
0.660593 | − | 0.750744i | \(-0.270305\pi\) | |||||||
\(788\) | 23.0612 | − | 2.93020i | 0.821521 | − | 0.104384i | ||||
\(789\) | 7.69108 | + | 29.4407i | 0.273810 | + | 1.04812i | ||||
\(790\) | 6.44759 | − | 8.36350i | 0.229395 | − | 0.297560i | ||||
\(791\) | 40.7122 | − | 13.3687i | 1.44756 | − | 0.475336i | ||||
\(792\) | 0.625054 | − | 4.12980i | 0.0222103 | − | 0.146746i | ||||
\(793\) | 0.205866 | − | 0.768301i | 0.00731050 | − | 0.0272832i | ||||
\(794\) | 16.8704 | − | 40.4701i | 0.598707 | − | 1.43623i | ||||
\(795\) | 5.12270 | + | 5.18735i | 0.181683 | + | 0.183976i | ||||
\(796\) | 14.9749 | + | 15.1108i | 0.530772 | + | 0.535587i | ||||
\(797\) | −5.96087 | − | 14.3908i | −0.211145 | − | 0.509749i | 0.782455 | − | 0.622707i | \(-0.213967\pi\) |
−0.993600 | + | 0.112959i | \(0.963967\pi\) | |||||||
\(798\) | 2.23257 | − | 26.5318i | 0.0790322 | − | 0.939215i | ||||
\(799\) | − | 7.13056i | − | 0.252261i | ||||||
\(800\) | −0.213683 | + | 18.9306i | −0.00755483 | + | 0.669297i | ||||
\(801\) | −36.6277 | − | 10.3084i | −1.29418 | − | 0.364228i | ||||
\(802\) | −17.2693 | − | 17.3474i | −0.609799 | − | 0.612559i | ||||
\(803\) | −5.55281 | − | 4.26082i | −0.195954 | − | 0.150361i | ||||
\(804\) | −7.67938 | − | 19.1204i | −0.270831 | − | 0.674323i | ||||
\(805\) | 5.25470 | + | 27.8666i | 0.185204 | + | 0.982169i | ||||
\(806\) | 1.78437 | + | 13.7942i | 0.0628519 | + | 0.485881i | ||||
\(807\) | −14.2320 | − | 1.96453i | −0.500988 | − | 0.0691548i | ||||
\(808\) | 1.82055 | − | 13.1402i | 0.0640468 | − | 0.462270i | ||||
\(809\) | −13.4872 | + | 3.61390i | −0.474186 | + | 0.127058i | −0.487994 | − | 0.872847i | \(-0.662271\pi\) |
0.0138080 | + | 0.999905i | \(0.495605\pi\) | |||||||
\(810\) | −5.84723 | − | 15.2854i | −0.205451 | − | 0.537076i | ||||
\(811\) | 3.17409 | − | 7.66292i | 0.111457 | − | 0.269082i | −0.858302 | − | 0.513145i | \(-0.828480\pi\) |
0.969759 | + | 0.244063i | \(0.0784804\pi\) | |||||||
\(812\) | 5.54337 | + | 1.97173i | 0.194534 | + | 0.0691941i | ||||
\(813\) | 32.8704 | − | 18.7039i | 1.15282 | − | 0.655975i | ||||
\(814\) | 0.716454 | − | 1.23449i | 0.0251117 | − | 0.0432689i | ||||
\(815\) | −13.1047 | − | 7.56602i | −0.459039 | − | 0.265026i | ||||
\(816\) | −10.5277 | + | 5.86526i | −0.368542 | + | 0.205325i | ||||
\(817\) | 22.6086 | − | 13.0531i | 0.790976 | − | 0.456670i | ||||
\(818\) | 16.8124 | − | 9.65610i | 0.587832 | − | 0.337618i | ||||
\(819\) | −8.29146 | − | 9.89535i | −0.289727 | − | 0.345772i | ||||
\(820\) | −0.701499 | + | 5.14868i | −0.0244974 | + | 0.179800i | ||||
\(821\) | −18.5308 | + | 2.43962i | −0.646728 | + | 0.0851434i | −0.446753 | − | 0.894658i | \(-0.647420\pi\) |
−0.199975 | + | 0.979801i | \(0.564086\pi\) | |||||||
\(822\) | −14.4605 | − | 25.5470i | −0.504368 | − | 0.891053i | ||||
\(823\) | −28.6075 | + | 7.66535i | −0.997194 | + | 0.267197i | −0.720270 | − | 0.693694i | \(-0.755982\pi\) |
−0.276925 | + | 0.960892i | \(0.589315\pi\) | |||||||
\(824\) | 21.0049 | − | 11.9382i | 0.731740 | − | 0.415888i | ||||
\(825\) | 2.25279 | + | 1.75118i | 0.0784322 | + | 0.0609682i | ||||
\(826\) | −23.7694 | − | 8.39418i | −0.827044 | − | 0.292071i | ||||
\(827\) | −6.89521 | + | 16.6465i | −0.239770 | + | 0.578856i | −0.997259 | − | 0.0739924i | \(-0.976426\pi\) |
0.757489 | + | 0.652848i | \(0.226426\pi\) | |||||||
\(828\) | 48.5242 | − | 12.1190i | 1.68633 | − | 0.421163i | ||||
\(829\) | −4.92778 | + | 37.4302i | −0.171149 | + | 1.30001i | 0.663064 | + | 0.748563i | \(0.269256\pi\) |
−0.834213 | + | 0.551443i | \(0.814078\pi\) | |||||||
\(830\) | −3.76672 | + | 3.74975i | −0.130745 | + | 0.130156i | ||||
\(831\) | 23.7219 | + | 31.3197i | 0.822905 | + | 1.08647i | ||||
\(832\) | −12.0879 | + | 4.81619i | −0.419071 | + | 0.166971i | ||||
\(833\) | 1.34825 | + | 12.1013i | 0.0467140 | + | 0.419285i | ||||
\(834\) | 5.09603 | + | 0.715166i | 0.176461 | + | 0.0247642i | ||||
\(835\) | 8.96202 | − | 11.6795i | 0.310144 | − | 0.404187i | ||||
\(836\) | −3.51189 | + | 2.00651i | −0.121461 | + | 0.0693965i | ||||
\(837\) | 16.2193 | − | 26.9107i | 0.560622 | − | 0.930170i | ||||
\(838\) | −26.1273 | + | 19.9546i | −0.902552 | + | 0.689321i | ||||
\(839\) | 22.3934 | + | 22.3934i | 0.773106 | + | 0.773106i | 0.978648 | − | 0.205542i | \(-0.0658957\pi\) |
−0.205542 | + | 0.978648i | \(0.565896\pi\) | |||||||
\(840\) | −5.71885 | + | 15.6541i | −0.197319 | + | 0.540116i | ||||
\(841\) | 19.6319 | − | 19.6319i | 0.676962 | − | 0.676962i | ||||
\(842\) | 0.440688 | − | 3.28995i | 0.0151871 | − | 0.113379i | ||||
\(843\) | −8.32809 | − | 8.43319i | −0.286835 | − | 0.290455i | ||||
\(844\) | −25.0488 | + | 32.3408i | −0.862215 | + | 1.11322i | ||||
\(845\) | 10.5626 | + | 8.10499i | 0.363365 | + | 0.278820i | ||||
\(846\) | −12.4786 | + | 12.1146i | −0.429022 | + | 0.416509i | ||||
\(847\) | −1.57822 | − | 28.4184i | −0.0542281 | − | 0.976468i | ||||
\(848\) | −12.9970 | + | 1.59184i | −0.446320 | + | 0.0546639i | ||||
\(849\) | −23.1093 | − | 30.5109i | −0.793111 | − | 1.04713i | ||||
\(850\) | 0.0185849 | − | 8.23271i | 0.000637458 | − | 0.282380i | ||||
\(851\) | 16.9451 | + | 2.23086i | 0.580870 | + | 0.0764730i | ||||
\(852\) | 14.2855 | − | 51.1031i | 0.489413 | − | 1.75076i | ||||
\(853\) | 25.0932 | + | 10.3940i | 0.859176 | + | 0.355882i | 0.768385 | − | 0.639988i | \(-0.221061\pi\) |
0.0907909 | + | 0.995870i | \(0.471061\pi\) | |||||||
\(854\) | 1.82426 | + | 0.141993i | 0.0624248 | + | 0.00485888i | ||||
\(855\) | −8.09543 | + | 13.6242i | −0.276858 | + | 0.465939i | ||||
\(856\) | −32.6057 | − | 25.3719i | −1.11444 | − | 0.867195i | ||||
\(857\) | −13.2810 | − | 49.5653i | −0.453670 | − | 1.69312i | −0.691968 | − | 0.721928i | \(-0.743256\pi\) |
0.238298 | − | 0.971192i | \(-0.423410\pi\) | |||||||
\(858\) | −0.523717 | + | 1.88992i | −0.0178794 | + | 0.0645209i | ||||
\(859\) | −5.64194 | − | 42.8548i | −0.192500 | − | 1.46219i | −0.765927 | − | 0.642928i | \(-0.777719\pi\) |
0.573426 | − | 0.819257i | \(-0.305614\pi\) | |||||||
\(860\) | −15.8030 | + | 4.15803i | −0.538878 | + | 0.141788i | ||||
\(861\) | 4.22977 | − | 8.23710i | 0.144150 | − | 0.280719i | ||||
\(862\) | 0.443193 | + | 0.119826i | 0.0150952 | + | 0.00408129i | ||||
\(863\) | 2.06186 | + | 3.57125i | 0.0701866 | + | 0.121567i | 0.898983 | − | 0.437984i | \(-0.144307\pi\) |
−0.828796 | + | 0.559550i | \(0.810974\pi\) | |||||||
\(864\) | 28.1505 | + | 8.45866i | 0.957700 | + | 0.287770i | ||||
\(865\) | 8.28852 | − | 14.3561i | 0.281818 | − | 0.488124i | ||||
\(866\) | −3.51518 | − | 13.2383i | −0.119451 | − | 0.449856i | ||||
\(867\) | −21.0369 | + | 11.9704i | −0.714452 | + | 0.406537i | ||||
\(868\) | −30.4449 | + | 9.84515i | −1.03337 | + | 0.334166i | ||||
\(869\) | 2.64107 | + | 1.09397i | 0.0895923 | + | 0.0371103i | ||||
\(870\) | −2.45508 | − | 2.49731i | −0.0832349 | − | 0.0846667i | ||||
\(871\) | 2.50397 | + | 9.34495i | 0.0848438 | + | 0.316642i | ||||
\(872\) | 27.6464 | − | 20.9179i | 0.936224 | − | 0.708368i | ||||
\(873\) | −30.2346 | − | 0.379170i | −1.02329 | − | 0.0128330i | ||||
\(874\) | −38.3573 | − | 29.5704i | −1.29745 | − | 1.00023i | ||||
\(875\) | −18.5082 | − | 21.5340i | −0.625692 | − | 0.727983i | ||||
\(876\) | 35.2026 | − | 34.4514i | 1.18939 | − | 1.16400i | ||||
\(877\) | 15.0184 | − | 19.5723i | 0.507135 | − | 0.660911i | −0.467688 | − | 0.883894i | \(-0.654913\pi\) |
0.974822 | + | 0.222983i | \(0.0715794\pi\) | |||||||
\(878\) | −0.0400655 | + | 17.7481i | −0.00135214 | + | 0.598969i | ||||
\(879\) | 9.36275 | − | 22.2088i | 0.315798 | − | 0.749083i | ||||
\(880\) | 2.45128 | − | 0.633150i | 0.0826325 | − | 0.0213435i | ||||
\(881\) | 39.0449 | 1.31546 | 0.657728 | − | 0.753256i | \(-0.271518\pi\) | ||||
0.657728 | + | 0.753256i | \(0.271518\pi\) | |||||||
\(882\) | 18.8868 | − | 22.9192i | 0.635951 | − | 0.771730i | ||||
\(883\) | 27.8727 | − | 11.5453i | 0.937992 | − | 0.388529i | 0.139287 | − | 0.990252i | \(-0.455519\pi\) |
0.798705 | + | 0.601723i | \(0.205519\pi\) | |||||||
\(884\) | 5.23743 | − | 2.14176i | 0.176154 | − | 0.0720353i | ||||
\(885\) | 10.5428 | + | 10.6759i | 0.354393 | + | 0.358866i | ||||
\(886\) | 48.8604 | − | 20.1096i | 1.64150 | − | 0.675594i | ||||
\(887\) | 32.7122 | + | 8.76522i | 1.09837 | + | 0.294307i | 0.762100 | − | 0.647459i | \(-0.224168\pi\) |
0.336269 | + | 0.941766i | \(0.390835\pi\) | |||||||
\(888\) | 7.88852 | + | 6.21820i | 0.264722 | + | 0.208669i | ||||
\(889\) | −15.6091 | − | 47.5349i | −0.523511 | − | 1.59427i | ||||
\(890\) | −2.95881 | − | 22.8733i | −0.0991796 | − | 0.766715i | ||||
\(891\) | 3.58124 | − | 2.60794i | 0.119976 | − | 0.0873694i | ||||
\(892\) | 9.52148 | + | 16.6650i | 0.318803 | + | 0.557985i | ||||
\(893\) | 16.6976 | + | 2.19828i | 0.558764 | + | 0.0735627i | ||||
\(894\) | 21.8366 | + | 54.0165i | 0.730325 | + | 1.80658i | ||||
\(895\) | 2.32070i | 0.0775724i | ||||||||
\(896\) | −15.9831 | − | 25.3089i | −0.533958 | − | 0.845511i | ||||
\(897\) | −23.3012 | + | 2.91915i | −0.778006 | + | 0.0974677i | ||||
\(898\) | 1.77053 | + | 6.66790i | 0.0590835 | + | 0.222511i | ||||
\(899\) | 0.877594 | − | 6.66599i | 0.0292694 | − | 0.222323i | ||||
\(900\) | −14.4389 | + | 13.9546i | −0.481297 | + | 0.465154i | ||||
\(901\) | 5.64545 | − | 0.743237i | 0.188077 | − | 0.0247608i | ||||
\(902\) | −1.39501 | + | 0.180453i | −0.0464486 | + | 0.00600843i | ||||
\(903\) | 29.0221 | + | 2.37615i | 0.965794 | + | 0.0790735i | ||||
\(904\) | 32.6109 | − | 32.1722i | 1.08462 | − | 1.07003i | ||||
\(905\) | −2.43011 | + | 9.06928i | −0.0807795 | + | 0.301473i | ||||
\(906\) | 16.7575 | + | 29.6051i | 0.556731 | + | 0.983563i | ||||
\(907\) | −14.5354 | − | 18.9429i | −0.482641 | − | 0.628990i | 0.487036 | − | 0.873382i | \(-0.338078\pi\) |
−0.969676 | + | 0.244393i | \(0.921411\pi\) | |||||||
\(908\) | 16.9741 | + | 41.5083i | 0.563307 | + | 1.37750i | ||||
\(909\) | 11.2693 | − | 8.42487i | 0.373780 | − | 0.279435i | ||||
\(910\) | 3.54655 | − | 6.97533i | 0.117567 | − | 0.231230i | ||||
\(911\) | − | 0.0225461i | − | 0.000746986i | −1.00000 | 0.000373493i | \(-0.999881\pi\) | |||
1.00000 | 0.000373493i | \(-0.000118886\pi\) | ||||||||
\(912\) | −10.4891 | − | 26.4608i | −0.347328 | − | 0.876205i | ||||
\(913\) | −1.24601 | − | 0.719382i | −0.0412368 | − | 0.0238081i | ||||
\(914\) | 7.59053 | + | 0.0171353i | 0.251072 | + | 0.000566784i | ||||
\(915\) | −0.939761 | − | 0.550457i | −0.0310676 | − | 0.0181975i | ||||
\(916\) | −39.1692 | + | 29.7756i | −1.29419 | + | 0.983814i | ||||
\(917\) | −10.7407 | − | 3.76583i | −0.354689 | − | 0.124359i | ||||
\(918\) | −12.2743 | − | 3.56767i | −0.405113 | − | 0.117751i | ||||
\(919\) | 9.02282 | − | 33.6736i | 0.297635 | − | 1.11079i | −0.641467 | − | 0.767151i | \(-0.721674\pi\) |
0.939102 | − | 0.343639i | \(-0.111660\pi\) | |||||||
\(920\) | 18.2917 | + | 24.1755i | 0.603060 | + | 0.797042i | ||||
\(921\) | 18.6587 | + | 45.8572i | 0.614824 | + | 1.51105i | ||||
\(922\) | −0.119185 | + | 0.0910275i | −0.00392516 | + | 0.00299783i | ||||
\(923\) | −9.53430 | + | 23.0178i | −0.313825 | + | 0.757641i | ||||
\(924\) | −4.49474 | − | 0.388439i | −0.147866 | − | 0.0127787i | ||||
\(925\) | −6.33958 | + | 2.62594i | −0.208444 | + | 0.0863404i | ||||
\(926\) | −53.3524 | + | 14.1667i | −1.75327 | + | 0.465547i | ||||
\(927\) | 24.6677 | + | 6.94238i | 0.810194 | + | 0.228018i | ||||
\(928\) | 6.24488 | − | 0.750549i | 0.204998 | − | 0.0246380i | ||||
\(929\) | −35.4146 | + | 20.4466i | −1.16192 | + | 0.670833i | −0.951763 | − | 0.306836i | \(-0.900730\pi\) |
−0.210154 | + | 0.977668i | \(0.567397\pi\) | |||||||
\(930\) | 18.8603 | + | 2.64682i | 0.618454 | + | 0.0867925i | ||||
\(931\) | −28.7532 | − | 0.573521i | −0.942347 | − | 0.0187964i | ||||
\(932\) | 4.06824 | + | 15.4618i | 0.133260 | + | 0.506468i | ||||
\(933\) | −15.3474 | + | 4.00934i | −0.502450 | + | 0.131260i | ||||
\(934\) | −9.79695 | + | 23.5017i | −0.320566 | + | 0.769000i | ||||
\(935\) | −1.06344 | + | 0.284948i | −0.0347782 | + | 0.00931879i | ||||
\(936\) | −12.6464 | − | 5.52678i | −0.413359 | − | 0.180648i | ||||
\(937\) | 16.2502 | − | 16.2502i | 0.530871 | − | 0.530871i | −0.389960 | − | 0.920832i | \(-0.627511\pi\) |
0.920832 | + | 0.389960i | \(0.127511\pi\) | |||||||
\(938\) | −20.0795 | + | 9.59866i | −0.655619 | + | 0.313407i | ||||
\(939\) | 3.96017 | + | 1.08778i | 0.129235 | + | 0.0354985i | ||||
\(940\) | −9.72110 | − | 4.07813i | −0.317067 | − | 0.133014i | ||||
\(941\) | −3.38265 | + | 25.6938i | −0.110271 | + | 0.837593i | 0.843515 | + | 0.537106i | \(0.180483\pi\) |
−0.953786 | + | 0.300487i | \(0.902851\pi\) | |||||||
\(942\) | 25.4384 | − | 3.12858i | 0.828827 | − | 0.101935i | ||||
\(943\) | −8.42170 | − | 14.5868i | −0.274248 | − | 0.475012i | ||||
\(944\) | −26.7487 | + | 3.27610i | −0.870596 | + | 0.106628i | ||||
\(945\) | −16.0724 | + | 7.35882i | −0.522835 | + | 0.239382i | ||||
\(946\) | −2.20309 | − | 3.83584i | −0.0716287 | − | 0.124714i | ||||
\(947\) | 21.6727 | − | 28.2444i | 0.704268 | − | 0.917820i | −0.295022 | − | 0.955491i | \(-0.595327\pi\) |
0.999290 | + | 0.0376701i | \(0.0119936\pi\) | |||||||
\(948\) | −10.2461 | + | 17.3128i | −0.332777 | + | 0.562294i | ||||
\(949\) | −18.3479 | + | 14.0788i | −0.595597 | + | 0.457018i | ||||
\(950\) | 19.2728 | + | 2.58158i | 0.625291 | + | 0.0837576i | ||||
\(951\) | −6.08281 | − | 4.72839i | −0.197249 | − | 0.153329i | ||||
\(952\) | 7.04955 | + | 10.9427i | 0.228477 | + | 0.354655i | ||||
\(953\) | −32.7852 | + | 32.7852i | −1.06202 | + | 1.06202i | −0.0640728 | + | 0.997945i | \(0.520409\pi\) |
−0.997945 | + | 0.0640728i | \(0.979591\pi\) | |||||||
\(954\) | −10.8921 | − | 8.61687i | −0.352646 | − | 0.278981i | ||||
\(955\) | −3.67129 | + | 2.81708i | −0.118800 | + | 0.0911585i | ||||
\(956\) | 0.648806 | + | 1.13557i | 0.0209839 | + | 0.0367271i | ||||
\(957\) | 0.479134 | − | 0.817997i | 0.0154882 | − | 0.0264421i | ||||
\(958\) | −11.8758 | + | 43.9244i | −0.383691 | + | 1.41913i | ||||
\(959\) | −26.5383 | + | 17.3521i | −0.856968 | + | 0.560328i | ||||
\(960\) | 1.97510 | + | 17.7069i | 0.0637459 | + | 0.571487i | ||||
\(961\) | 2.78245 | + | 4.81934i | 0.0897564 | + | 0.155463i | ||||
\(962\) | −3.32736 | − | 3.34242i | −0.107278 | − | 0.107764i | ||||
\(963\) | −5.17446 | − | 43.5138i | −0.166745 | − | 1.40221i | ||||
\(964\) | −11.6718 | − | 0.0526975i | −0.375925 | − | 0.00169727i | ||||
\(965\) | 0.180111 | + | 0.0746042i | 0.00579796 | + | 0.00240159i | ||||
\(966\) | −16.4156 | − | 51.4675i | −0.528162 | − | 1.65594i | ||||
\(967\) | −8.48274 | + | 8.48274i | −0.272787 | + | 0.272787i | −0.830221 | − | 0.557434i | \(-0.811786\pi\) |
0.557434 | + | 0.830221i | \(0.311786\pi\) | |||||||
\(968\) | −15.0349 | − | 26.4533i | −0.483239 | − | 0.850241i | ||||
\(969\) | 4.66502 | + | 11.4652i | 0.149862 | + | 0.368314i | ||||
\(970\) | −6.97547 | − | 16.9484i | −0.223969 | − | 0.544180i | ||||
\(971\) | 1.64039 | + | 12.4600i | 0.0526426 | + | 0.399861i | 0.997398 | + | 0.0720856i | \(0.0229655\pi\) |
−0.944756 | + | 0.327775i | \(0.893701\pi\) | |||||||
\(972\) | 14.6103 | + | 27.5416i | 0.468625 | + | 0.883397i | ||||
\(973\) | 0.418818 | − | 5.54248i | 0.0134267 | − | 0.177684i | ||||
\(974\) | 18.9401 | + | 32.9770i | 0.606881 | + | 1.05665i | ||||
\(975\) | 7.51577 | − | 5.69254i | 0.240697 | − | 0.182307i | ||||
\(976\) | 1.81390 | − | 0.732223i | 0.0580615 | − | 0.0234379i | ||||
\(977\) | −1.14608 | + | 1.98506i | −0.0366662 | + | 0.0635077i | −0.883776 | − | 0.467910i | \(-0.845007\pi\) |
0.847110 | + | 0.531418i | \(0.178340\pi\) | |||||||
\(978\) | 26.5375 | + | 11.2583i | 0.848576 | + | 0.360000i | ||||
\(979\) | 5.76816 | − | 2.38925i | 0.184351 | − | 0.0763607i | ||||
\(980\) | 17.2688 | + | 5.08293i | 0.551631 | + | 0.162368i | ||||
\(981\) | 36.3935 | + | 5.25638i | 1.16195 | + | 0.167823i | ||||
\(982\) | −46.7392 | − | 6.26071i | −1.49151 | − | 0.199787i | ||||
\(983\) | 14.2233 | + | 53.0820i | 0.453652 | + | 1.69305i | 0.692022 | + | 0.721877i | \(0.256720\pi\) |
−0.238370 | + | 0.971174i | \(0.576613\pi\) | |||||||
\(984\) | 0.129103 | − | 9.89811i | 0.00411566 | − | 0.315540i | ||||
\(985\) | −3.86814 | + | 14.4361i | −0.123249 | + | 0.459972i | ||||
\(986\) | −2.71261 | + | 0.350894i | −0.0863871 | + | 0.0111747i | ||||
\(987\) | 13.9206 | + | 12.6138i | 0.443098 | + | 0.401503i | ||||
\(988\) | 3.40071 | + | 12.9248i | 0.108191 | + | 0.411191i | ||||
\(989\) | 32.2450 | − | 42.0225i | 1.02533 | − | 1.33624i | ||||
\(990\) | 2.30542 | + | 1.37691i | 0.0732709 | + | 0.0437612i | ||||
\(991\) | 18.3136 | + | 10.5734i | 0.581751 | + | 0.335874i | 0.761829 | − | 0.647778i | \(-0.224302\pi\) |
−0.180078 | + | 0.983652i | \(0.557635\pi\) | |||||||
\(992\) | −24.4590 | + | 23.9130i | −0.776575 | + | 0.759239i | ||||
\(993\) | 3.90147 | + | 31.1423i | 0.123809 | + | 0.988271i | ||||
\(994\) | −56.0716 | − | 11.8680i | −1.77848 | − | 0.376429i | ||||
\(995\) | −12.6360 | + | 5.23402i | −0.400589 | + | 0.165929i | ||||
\(996\) | 6.25005 | − | 7.96584i | 0.198040 | − | 0.252407i | ||||
\(997\) | −6.44310 | − | 8.39681i | −0.204055 | − | 0.265930i | 0.680104 | − | 0.733116i | \(-0.261935\pi\) |
−0.884159 | + | 0.467186i | \(0.845268\pi\) | |||||||
\(998\) | 44.1244 | + | 18.3937i | 1.39673 | + | 0.582243i | ||||
\(999\) | 1.19169 | + | 10.5871i | 0.0377036 | + | 0.334961i |
(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 | 672.2.ch.a.11.9 | ✓ | 992 | |
3.2 | odd | 2 | inner | 672.2.ch.a.11.116 | yes | 992 | |
7.2 | even | 3 | inner | 672.2.ch.a.107.93 | yes | 992 | |
21.2 | odd | 6 | inner | 672.2.ch.a.107.32 | yes | 992 | |
32.3 | odd | 8 | inner | 672.2.ch.a.515.32 | yes | 992 | |
96.35 | even | 8 | inner | 672.2.ch.a.515.93 | yes | 992 | |
224.163 | odd | 24 | inner | 672.2.ch.a.611.116 | yes | 992 | |
672.611 | even | 24 | inner | 672.2.ch.a.611.9 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.ch.a.11.9 | ✓ | 992 | 1.1 | even | 1 | trivial | |
672.2.ch.a.11.116 | yes | 992 | 3.2 | odd | 2 | inner | |
672.2.ch.a.107.32 | yes | 992 | 21.2 | odd | 6 | inner | |
672.2.ch.a.107.93 | yes | 992 | 7.2 | even | 3 | inner | |
672.2.ch.a.515.32 | yes | 992 | 32.3 | odd | 8 | inner | |
672.2.ch.a.515.93 | yes | 992 | 96.35 | even | 8 | inner | |
672.2.ch.a.611.9 | yes | 992 | 672.611 | even | 24 | inner | |
672.2.ch.a.611.116 | yes | 992 | 224.163 | odd | 24 | inner |