Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Character | \(\chi\) | \(=\) | 378.67 |
Dual form | 378.2.v.b.79.1 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | −1.73077 | + | 0.0664993i | −0.999263 | + | 0.0383934i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −0.294369 | + | 1.66945i | −0.131646 | + | 0.746601i | 0.845491 | + | 0.533990i | \(0.179308\pi\) |
−0.977137 | + | 0.212611i | \(0.931803\pi\) | |||||||
\(6\) | −1.28310 | + | 1.16346i | −0.523825 | + | 0.474981i | ||||
\(7\) | −2.64575 | − | 0.00486080i | −0.999998 | − | 0.00183721i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 2.99116 | − | 0.230191i | 0.997052 | − | 0.0767302i | ||||
\(10\) | 0.847602 | + | 1.46809i | 0.268035 | + | 0.464251i | ||||
\(11\) | 1.08481 | + | 6.15227i | 0.327083 | + | 1.85498i | 0.494613 | + | 0.869113i | \(0.335310\pi\) |
−0.167530 | + | 0.985867i | \(0.553579\pi\) | |||||||
\(12\) | −0.235057 | + | 1.71603i | −0.0678550 | + | 0.495374i | ||||
\(13\) | −0.226902 | + | 1.28683i | −0.0629314 | + | 0.356902i | 0.937039 | + | 0.349224i | \(0.113555\pi\) |
−0.999971 | + | 0.00767732i | \(0.997556\pi\) | |||||||
\(14\) | −2.02988 | + | 1.69693i | −0.542509 | + | 0.453524i | ||||
\(15\) | 0.398469 | − | 2.90902i | 0.102884 | − | 0.751105i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −1.03612 | − | 1.79461i | −0.251296 | − | 0.435257i | 0.712587 | − | 0.701584i | \(-0.247523\pi\) |
−0.963883 | + | 0.266327i | \(0.914190\pi\) | |||||||
\(18\) | 2.14339 | − | 2.09901i | 0.505203 | − | 0.494742i | ||||
\(19\) | −3.71970 | + | 6.44271i | −0.853357 | + | 1.47806i | 0.0248031 | + | 0.999692i | \(0.492104\pi\) |
−0.878161 | + | 0.478366i | \(0.841229\pi\) | |||||||
\(20\) | 1.59297 | + | 0.579794i | 0.356199 | + | 0.129646i | ||||
\(21\) | 4.57951 | − | 0.167527i | 0.999332 | − | 0.0365575i | ||||
\(22\) | 4.78562 | + | 4.01561i | 1.02030 | + | 0.856131i | ||||
\(23\) | 4.05743 | + | 3.40459i | 0.846033 | + | 0.709906i | 0.958912 | − | 0.283703i | \(-0.0915630\pi\) |
−0.112879 | + | 0.993609i | \(0.536007\pi\) | |||||||
\(24\) | 0.922977 | + | 1.46564i | 0.188402 | + | 0.299173i | ||||
\(25\) | 1.99805 | + | 0.727232i | 0.399611 | + | 0.145446i | ||||
\(26\) | 0.653339 | + | 1.13162i | 0.128130 | + | 0.221928i | ||||
\(27\) | −5.16171 | + | 0.597318i | −0.993371 | + | 0.114954i | ||||
\(28\) | −0.464216 | + | 2.60471i | −0.0877286 | + | 0.492244i | ||||
\(29\) | −0.726953 | − | 4.12275i | −0.134992 | − | 0.765576i | −0.974865 | − | 0.222794i | \(-0.928482\pi\) |
0.839874 | − | 0.542782i | \(-0.182629\pi\) | |||||||
\(30\) | −1.56463 | − | 2.48457i | −0.285662 | − | 0.453618i | ||||
\(31\) | −0.490802 | + | 2.78347i | −0.0881506 | + | 0.499927i | 0.908482 | + | 0.417925i | \(0.137242\pi\) |
−0.996632 | + | 0.0820019i | \(0.973869\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | −2.28669 | − | 10.5761i | −0.398061 | − | 1.84105i | ||||
\(34\) | −1.94727 | − | 0.708747i | −0.333953 | − | 0.121549i | ||||
\(35\) | 0.786941 | − | 4.41551i | 0.133017 | − | 0.746358i | ||||
\(36\) | 0.292715 | − | 2.98569i | 0.0487859 | − | 0.497614i | ||||
\(37\) | −9.35873 | −1.53857 | −0.769283 | − | 0.638908i | \(-0.779386\pi\) | ||||
−0.769283 | + | 0.638908i | \(0.779386\pi\) | |||||||
\(38\) | 1.29184 | + | 7.32638i | 0.209564 | + | 1.18850i | ||||
\(39\) | 0.307144 | − | 2.24230i | 0.0491823 | − | 0.359055i | ||||
\(40\) | 1.59297 | − | 0.579794i | 0.251871 | − | 0.0916735i | ||||
\(41\) | 0.943258 | − | 5.34948i | 0.147312 | − | 0.835449i | −0.818169 | − | 0.574977i | \(-0.805011\pi\) |
0.965482 | − | 0.260471i | \(-0.0838780\pi\) | |||||||
\(42\) | 3.40043 | − | 3.07199i | 0.524697 | − | 0.474018i | ||||
\(43\) | 1.44997 | − | 1.21667i | 0.221119 | − | 0.185541i | −0.525498 | − | 0.850795i | \(-0.676121\pi\) |
0.746617 | + | 0.665254i | \(0.231677\pi\) | |||||||
\(44\) | 6.24718 | 0.941798 | ||||||||
\(45\) | −0.496212 | + | 5.06135i | −0.0739709 | + | 0.754501i | ||||
\(46\) | 5.29660 | 0.780941 | ||||||||
\(47\) | −0.218830 | − | 1.24105i | −0.0319197 | − | 0.181026i | 0.964680 | − | 0.263426i | \(-0.0848525\pi\) |
−0.996599 | + | 0.0824004i | \(0.973741\pi\) | |||||||
\(48\) | 1.64914 | + | 0.529471i | 0.238033 | + | 0.0764225i | ||||
\(49\) | 6.99995 | + | 0.0257209i | 0.999993 | + | 0.00367442i | ||||
\(50\) | 1.99805 | − | 0.727232i | 0.282567 | − | 0.102846i | ||||
\(51\) | 1.91263 | + | 3.03716i | 0.267821 | + | 0.425288i | ||||
\(52\) | 1.22788 | + | 0.446910i | 0.170276 | + | 0.0619753i | ||||
\(53\) | 0.611155 | − | 1.05855i | 0.0839486 | − | 0.145403i | −0.820994 | − | 0.570937i | \(-0.806580\pi\) |
0.904943 | + | 0.425533i | \(0.139914\pi\) | |||||||
\(54\) | −3.57015 | + | 3.77545i | −0.485836 | + | 0.513774i | ||||
\(55\) | −10.5902 | −1.42799 | ||||||||
\(56\) | 1.31866 | + | 2.29371i | 0.176214 | + | 0.306510i | ||||
\(57\) | 6.00952 | − | 11.3982i | 0.795981 | − | 1.50973i | ||||
\(58\) | −3.20693 | − | 2.69094i | −0.421091 | − | 0.353337i | ||||
\(59\) | 1.36405 | − | 0.496475i | 0.177585 | − | 0.0646355i | −0.251698 | − | 0.967806i | \(-0.580989\pi\) |
0.429282 | + | 0.903170i | \(0.358767\pi\) | |||||||
\(60\) | −2.79563 | − | 0.897561i | −0.360914 | − | 0.115875i | ||||
\(61\) | 1.48009 | + | 8.39399i | 0.189506 | + | 1.07474i | 0.920028 | + | 0.391852i | \(0.128165\pi\) |
−0.730523 | + | 0.682889i | \(0.760723\pi\) | |||||||
\(62\) | 1.41321 | + | 2.44775i | 0.179477 | + | 0.310864i | ||||
\(63\) | −7.91496 | + | 0.594487i | −0.997191 | + | 0.0748983i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −2.08150 | − | 0.757604i | −0.258178 | − | 0.0939693i | ||||
\(66\) | −8.54986 | − | 6.63187i | −1.05242 | − | 0.816327i | ||||
\(67\) | −4.26770 | − | 3.58102i | −0.521382 | − | 0.437492i | 0.343731 | − | 0.939068i | \(-0.388309\pi\) |
−0.865113 | + | 0.501577i | \(0.832754\pi\) | |||||||
\(68\) | −1.94727 | + | 0.708747i | −0.236141 | + | 0.0859481i | ||||
\(69\) | −7.24890 | − | 5.62276i | −0.872665 | − | 0.676900i | ||||
\(70\) | −2.23540 | − | 3.88831i | −0.267182 | − | 0.464742i | ||||
\(71\) | 4.83278 | − | 8.37063i | 0.573546 | − | 0.993410i | −0.422652 | − | 0.906292i | \(-0.638901\pi\) |
0.996198 | − | 0.0871185i | \(-0.0277659\pi\) | |||||||
\(72\) | −1.69493 | − | 2.47532i | −0.199749 | − | 0.291719i | ||||
\(73\) | −5.04256 | −0.590187 | −0.295093 | − | 0.955468i | \(-0.595351\pi\) | ||||
−0.295093 | + | 0.955468i | \(0.595351\pi\) | |||||||
\(74\) | −7.16920 | + | 6.01568i | −0.833403 | + | 0.699308i | ||||
\(75\) | −3.50654 | − | 1.12580i | −0.404900 | − | 0.129997i | ||||
\(76\) | 5.69891 | + | 4.78195i | 0.653710 | + | 0.548528i | ||||
\(77\) | −2.84023 | − | 16.2826i | −0.323675 | − | 1.85558i | ||||
\(78\) | −1.20603 | − | 1.91513i | −0.136557 | − | 0.216845i | ||||
\(79\) | −5.05574 | + | 4.24227i | −0.568815 | + | 0.477292i | −0.881252 | − | 0.472646i | \(-0.843299\pi\) |
0.312437 | + | 0.949938i | \(0.398855\pi\) | |||||||
\(80\) | 0.847602 | − | 1.46809i | 0.0947648 | − | 0.164137i | ||||
\(81\) | 8.89402 | − | 1.37707i | 0.988225 | − | 0.153008i | ||||
\(82\) | −2.71600 | − | 4.70425i | −0.299932 | − | 0.519498i | ||||
\(83\) | 1.19636 | + | 6.78487i | 0.131317 | + | 0.744737i | 0.977354 | + | 0.211612i | \(0.0678713\pi\) |
−0.846037 | + | 0.533125i | \(0.821018\pi\) | |||||||
\(84\) | 0.630242 | − | 4.53903i | 0.0687650 | − | 0.495249i | ||||
\(85\) | 3.30101 | − | 1.20147i | 0.358045 | − | 0.130318i | ||||
\(86\) | 0.328683 | − | 1.86405i | 0.0354427 | − | 0.201006i | ||||
\(87\) | 1.53235 | + | 7.08721i | 0.164285 | + | 0.759829i | ||||
\(88\) | 4.78562 | − | 4.01561i | 0.510149 | − | 0.428066i | ||||
\(89\) | −3.26175 | + | 5.64952i | −0.345745 | + | 0.598848i | −0.985489 | − | 0.169740i | \(-0.945707\pi\) |
0.639744 | + | 0.768588i | \(0.279040\pi\) | |||||||
\(90\) | 2.87325 | + | 4.19617i | 0.302867 | + | 0.442316i | ||||
\(91\) | 0.606581 | − | 3.40352i | 0.0635870 | − | 0.356785i | ||||
\(92\) | 4.05743 | − | 3.40459i | 0.423016 | − | 0.354953i | ||||
\(93\) | 0.664367 | − | 4.85020i | 0.0688917 | − | 0.502943i | ||||
\(94\) | −0.965365 | − | 0.810037i | −0.0995698 | − | 0.0835490i | ||||
\(95\) | −9.66081 | − | 8.10638i | −0.991178 | − | 0.831697i | ||||
\(96\) | 1.60365 | − | 0.654448i | 0.163672 | − | 0.0667944i | ||||
\(97\) | 7.24932 | − | 6.08290i | 0.736057 | − | 0.617625i | −0.195719 | − | 0.980660i | \(-0.562704\pi\) |
0.931776 | + | 0.363035i | \(0.118259\pi\) | |||||||
\(98\) | 5.37881 | − | 4.47978i | 0.543342 | − | 0.452526i | ||||
\(99\) | 4.66104 | + | 18.1527i | 0.468452 | + | 1.82441i | ||||
\(100\) | 1.06314 | − | 1.84142i | 0.106314 | − | 0.184142i | ||||
\(101\) | 8.96195 | − | 7.51997i | 0.891747 | − | 0.748265i | −0.0768128 | − | 0.997046i | \(-0.524474\pi\) |
0.968560 | + | 0.248781i | \(0.0800299\pi\) | |||||||
\(102\) | 3.41741 | + | 1.09719i | 0.338374 | + | 0.108638i | ||||
\(103\) | 2.57181 | − | 14.5855i | 0.253408 | − | 1.43715i | −0.546718 | − | 0.837317i | \(-0.684123\pi\) |
0.800126 | − | 0.599832i | \(-0.204766\pi\) | |||||||
\(104\) | 1.22788 | − | 0.446910i | 0.120403 | − | 0.0438232i | ||||
\(105\) | −1.06839 | + | 7.69458i | −0.104264 | + | 0.750914i | ||||
\(106\) | −0.212252 | − | 1.20374i | −0.0206157 | − | 0.116918i | ||||
\(107\) | −4.50839 | − | 7.80876i | −0.435842 | − | 0.754901i | 0.561522 | − | 0.827462i | \(-0.310216\pi\) |
−0.997364 | + | 0.0725610i | \(0.976883\pi\) | |||||||
\(108\) | −0.308078 | + | 5.18701i | −0.0296448 | + | 0.499120i | ||||
\(109\) | −9.27298 | + | 16.0613i | −0.888190 | + | 1.53839i | −0.0461775 | + | 0.998933i | \(0.514704\pi\) |
−0.842013 | + | 0.539457i | \(0.818629\pi\) | |||||||
\(110\) | −8.11260 | + | 6.80728i | −0.773506 | + | 0.649049i | ||||
\(111\) | 16.1978 | − | 0.622349i | 1.53743 | − | 0.0590708i | ||||
\(112\) | 2.48453 | + | 0.909466i | 0.234766 | + | 0.0859365i | ||||
\(113\) | 15.9066 | + | 13.3472i | 1.49637 | + | 1.25560i | 0.886177 | + | 0.463346i | \(0.153351\pi\) |
0.610190 | + | 0.792255i | \(0.291093\pi\) | |||||||
\(114\) | −2.72308 | − | 12.5944i | −0.255040 | − | 1.17957i | ||||
\(115\) | −6.87817 | + | 5.77147i | −0.641393 | + | 0.538192i | ||||
\(116\) | −4.18635 | −0.388693 | ||||||||
\(117\) | −0.382485 | + | 3.90133i | −0.0353607 | + | 0.360678i | ||||
\(118\) | 0.725798 | − | 1.25712i | 0.0668151 | − | 0.115727i | ||||
\(119\) | 2.73258 | + | 4.75312i | 0.250495 | + | 0.435718i | ||||
\(120\) | −2.71852 | + | 1.10942i | −0.248165 | + | 0.101276i | ||||
\(121\) | −26.3370 | + | 9.58590i | −2.39428 | + | 0.871445i | ||||
\(122\) | 6.52937 | + | 5.47879i | 0.591141 | + | 0.496026i | ||||
\(123\) | −1.27683 | + | 9.32147i | −0.115128 | + | 0.840488i | ||||
\(124\) | 2.65596 | + | 0.966690i | 0.238512 | + | 0.0868114i | ||||
\(125\) | −6.04025 | + | 10.4620i | −0.540257 | + | 0.935752i | ||||
\(126\) | −5.68108 | + | 5.54304i | −0.506111 | + | 0.493813i | ||||
\(127\) | −1.57627 | − | 2.73017i | −0.139871 | − | 0.242264i | 0.787577 | − | 0.616217i | \(-0.211335\pi\) |
−0.927448 | + | 0.373953i | \(0.878002\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −2.42867 | + | 2.20221i | −0.213832 | + | 0.193894i | ||||
\(130\) | −2.08150 | + | 0.757604i | −0.182560 | + | 0.0664463i | ||||
\(131\) | 16.5994 | + | 13.9286i | 1.45030 | + | 1.21695i | 0.932362 | + | 0.361527i | \(0.117745\pi\) |
0.517938 | + | 0.855418i | \(0.326700\pi\) | |||||||
\(132\) | −10.8125 | + | 0.415434i | −0.941104 | + | 0.0361588i | ||||
\(133\) | 9.87270 | − | 17.0277i | 0.856071 | − | 1.47649i | ||||
\(134\) | −5.57108 | −0.481268 | ||||||||
\(135\) | 0.522255 | − | 8.79304i | 0.0449485 | − | 0.756785i | ||||
\(136\) | −1.03612 | + | 1.79461i | −0.0888464 | + | 0.153886i | ||||
\(137\) | 17.4902 | + | 6.36590i | 1.49429 | + | 0.543876i | 0.954574 | − | 0.297974i | \(-0.0963109\pi\) |
0.539712 | + | 0.841850i | \(0.318533\pi\) | |||||||
\(138\) | −9.16722 | + | 0.352220i | −0.780365 | + | 0.0299830i | ||||
\(139\) | 7.38333 | − | 2.68731i | 0.626246 | − | 0.227935i | −0.00935072 | − | 0.999956i | \(-0.502976\pi\) |
0.635596 | + | 0.772021i | \(0.280754\pi\) | |||||||
\(140\) | −4.21178 | − | 1.54173i | −0.355960 | − | 0.130300i | ||||
\(141\) | 0.461275 | + | 2.13342i | 0.0388464 | + | 0.179667i | ||||
\(142\) | −1.67841 | − | 9.51872i | −0.140849 | − | 0.798794i | ||||
\(143\) | −8.16306 | −0.682629 | ||||||||
\(144\) | −2.88950 | − | 0.806727i | −0.240791 | − | 0.0672273i | ||||
\(145\) | 7.09672 | 0.589351 | ||||||||
\(146\) | −3.86282 | + | 3.24129i | −0.319689 | + | 0.268251i | ||||
\(147\) | −12.1170 | + | 0.420975i | −0.999397 | + | 0.0347214i | ||||
\(148\) | −1.62513 | + | 9.21655i | −0.133585 | + | 0.757596i | ||||
\(149\) | 7.92344 | − | 2.88390i | 0.649113 | − | 0.236258i | 0.00358421 | − | 0.999994i | \(-0.498859\pi\) |
0.645529 | + | 0.763736i | \(0.276637\pi\) | |||||||
\(150\) | −3.40982 | + | 1.39154i | −0.278410 | + | 0.113619i | ||||
\(151\) | −2.13898 | − | 12.1308i | −0.174068 | − | 0.987187i | −0.939215 | − | 0.343331i | \(-0.888445\pi\) |
0.765147 | − | 0.643856i | \(-0.222666\pi\) | |||||||
\(152\) | 7.43940 | 0.603415 | ||||||||
\(153\) | −3.51229 | − | 5.12945i | −0.283952 | − | 0.414692i | ||||
\(154\) | −12.6420 | − | 10.6476i | −1.01872 | − | 0.858004i | ||||
\(155\) | −4.50239 | − | 1.63874i | −0.361641 | − | 0.131627i | ||||
\(156\) | −2.15490 | − | 0.691848i | −0.172530 | − | 0.0553922i | ||||
\(157\) | 11.5374 | − | 4.19928i | 0.920787 | − | 0.335139i | 0.162235 | − | 0.986752i | \(-0.448130\pi\) |
0.758551 | + | 0.651613i | \(0.225907\pi\) | |||||||
\(158\) | −1.14604 | + | 6.49953i | −0.0911743 | + | 0.517075i | ||||
\(159\) | −0.987378 | + | 1.87275i | −0.0783042 | + | 0.148519i | ||||
\(160\) | −0.294369 | − | 1.66945i | −0.0232719 | − | 0.131982i | ||||
\(161\) | −10.7184 | − | 9.02740i | −0.844727 | − | 0.711459i | ||||
\(162\) | 5.92805 | − | 6.77187i | 0.465752 | − | 0.532048i | ||||
\(163\) | 2.02983 | + | 3.51577i | 0.158988 | + | 0.275376i | 0.934504 | − | 0.355952i | \(-0.115843\pi\) |
−0.775516 | + | 0.631328i | \(0.782510\pi\) | |||||||
\(164\) | −5.10442 | − | 1.85786i | −0.398588 | − | 0.145074i | ||||
\(165\) | 18.3293 | − | 0.704245i | 1.42694 | − | 0.0548254i | ||||
\(166\) | 5.27770 | + | 4.42851i | 0.409629 | + | 0.343719i | ||||
\(167\) | 3.47271 | + | 2.91395i | 0.268726 | + | 0.225488i | 0.767186 | − | 0.641425i | \(-0.221656\pi\) |
−0.498460 | + | 0.866913i | \(0.666101\pi\) | |||||||
\(168\) | −2.43484 | − | 3.88221i | −0.187852 | − | 0.299519i | ||||
\(169\) | 10.6116 | + | 3.86229i | 0.816274 | + | 0.297099i | ||||
\(170\) | 1.75643 | − | 3.04223i | 0.134712 | − | 0.233328i | ||||
\(171\) | −9.64315 | + | 20.1274i | −0.737430 | + | 1.53918i | ||||
\(172\) | −0.946404 | − | 1.63922i | −0.0721626 | − | 0.124989i | ||||
\(173\) | 11.0308 | + | 4.01490i | 0.838660 | + | 0.305247i | 0.725408 | − | 0.688319i | \(-0.241651\pi\) |
0.113252 | + | 0.993566i | \(0.463873\pi\) | |||||||
\(174\) | 5.72942 | + | 4.44414i | 0.434346 | + | 0.336910i | ||||
\(175\) | −5.28281 | − | 1.93378i | −0.399343 | − | 0.146180i | ||||
\(176\) | 1.08481 | − | 6.15227i | 0.0817708 | − | 0.463745i | ||||
\(177\) | −2.32785 | + | 0.949994i | −0.174972 | + | 0.0714059i | ||||
\(178\) | 1.13279 | + | 6.42440i | 0.0849066 | + | 0.481529i | ||||
\(179\) | −1.42864 | − | 2.47448i | −0.106782 | − | 0.184951i | 0.807683 | − | 0.589617i | \(-0.200721\pi\) |
−0.914465 | + | 0.404666i | \(0.867388\pi\) | |||||||
\(180\) | 4.89829 | + | 1.36757i | 0.365097 | + | 0.101932i | ||||
\(181\) | 5.39816 | + | 9.34989i | 0.401242 | + | 0.694972i | 0.993876 | − | 0.110500i | \(-0.0352452\pi\) |
−0.592634 | + | 0.805472i | \(0.701912\pi\) | |||||||
\(182\) | −1.72307 | − | 2.99715i | −0.127722 | − | 0.222163i | ||||
\(183\) | −3.11989 | − | 14.4297i | −0.230629 | − | 1.06667i | ||||
\(184\) | 0.919745 | − | 5.21613i | 0.0678045 | − | 0.384538i | ||||
\(185\) | 2.75492 | − | 15.6239i | 0.202546 | − | 1.14869i | ||||
\(186\) | −2.60871 | − | 4.14252i | −0.191280 | − | 0.303744i | ||||
\(187\) | 9.91694 | − | 8.32130i | 0.725198 | − | 0.608513i | ||||
\(188\) | −1.26019 | −0.0919091 | ||||||||
\(189\) | 13.6595 | − | 1.55526i | 0.993580 | − | 0.113129i | ||||
\(190\) | −12.6113 | −0.914920 | ||||||||
\(191\) | −15.3321 | + | 12.8652i | −1.10939 | + | 0.930893i | −0.998021 | − | 0.0628859i | \(-0.979970\pi\) |
−0.111374 | + | 0.993779i | \(0.535525\pi\) | |||||||
\(192\) | 0.807797 | − | 1.53214i | 0.0582977 | − | 0.110573i | ||||
\(193\) | −3.64662 | + | 20.6810i | −0.262489 | + | 1.48865i | 0.513601 | + | 0.858029i | \(0.328311\pi\) |
−0.776090 | + | 0.630622i | \(0.782800\pi\) | |||||||
\(194\) | 1.64329 | − | 9.31955i | 0.117981 | − | 0.669104i | ||||
\(195\) | 3.65299 | + | 1.17282i | 0.261596 | + | 0.0839876i | ||||
\(196\) | 1.24086 | − | 6.88914i | 0.0886328 | − | 0.492082i | ||||
\(197\) | −4.04409 | − | 7.00458i | −0.288130 | − | 0.499055i | 0.685234 | − | 0.728323i | \(-0.259700\pi\) |
−0.973363 | + | 0.229268i | \(0.926367\pi\) | |||||||
\(198\) | 15.2389 | + | 10.9097i | 1.08298 | + | 0.775320i | ||||
\(199\) | 7.02511 | + | 12.1678i | 0.497997 | + | 0.862555i | 0.999997 | − | 0.00231187i | \(-0.000735891\pi\) |
−0.502001 | + | 0.864867i | \(0.667403\pi\) | |||||||
\(200\) | −0.369225 | − | 2.09398i | −0.0261082 | − | 0.148067i | ||||
\(201\) | 7.62455 | + | 5.91414i | 0.537794 | + | 0.417151i | ||||
\(202\) | 2.03151 | − | 11.5213i | 0.142936 | − | 0.810633i | ||||
\(203\) | 1.90329 | + | 10.9113i | 0.133585 | + | 0.765823i | ||||
\(204\) | 3.32314 | − | 1.35617i | 0.232667 | − | 0.0949510i | ||||
\(205\) | 8.65302 | + | 3.14944i | 0.604353 | + | 0.219967i | ||||
\(206\) | −7.40524 | − | 12.8262i | −0.515947 | − | 0.893647i | ||||
\(207\) | 12.9201 | + | 9.24967i | 0.898010 | + | 0.642897i | ||||
\(208\) | 0.653339 | − | 1.13162i | 0.0453009 | − | 0.0784635i | ||||
\(209\) | −43.6725 | − | 15.8955i | −3.02089 | − | 1.09951i | ||||
\(210\) | 4.12755 | + | 6.58114i | 0.284828 | + | 0.454142i | ||||
\(211\) | 7.20837 | + | 6.04854i | 0.496245 | + | 0.416399i | 0.856258 | − | 0.516549i | \(-0.172783\pi\) |
−0.360013 | + | 0.932947i | \(0.617228\pi\) | |||||||
\(212\) | −0.936344 | − | 0.785686i | −0.0643083 | − | 0.0539611i | ||||
\(213\) | −7.80781 | + | 14.8090i | −0.534982 | + | 1.01470i | ||||
\(214\) | −8.47300 | − | 3.08392i | −0.579202 | − | 0.210812i | ||||
\(215\) | 1.60435 | + | 2.77881i | 0.109416 | + | 0.189513i | ||||
\(216\) | 3.09815 | + | 4.17151i | 0.210802 | + | 0.283835i | ||||
\(217\) | 1.31207 | − | 7.36198i | 0.0890689 | − | 0.499764i | ||||
\(218\) | 3.22047 | + | 18.2642i | 0.218118 | + | 1.23701i | ||||
\(219\) | 8.72752 | − | 0.335327i | 0.589751 | − | 0.0226593i | ||||
\(220\) | −1.83898 | + | 10.4294i | −0.123984 | + | 0.703147i | ||||
\(221\) | 2.54445 | − | 0.926104i | 0.171158 | − | 0.0622965i | ||||
\(222\) | 12.0082 | − | 10.8885i | 0.805940 | − | 0.730790i | ||||
\(223\) | −20.6225 | − | 7.50597i | −1.38098 | − | 0.502637i | −0.458507 | − | 0.888691i | \(-0.651616\pi\) |
−0.922476 | + | 0.386054i | \(0.873838\pi\) | |||||||
\(224\) | 2.48785 | − | 0.900331i | 0.166227 | − | 0.0601559i | ||||
\(225\) | 6.14389 | + | 1.71533i | 0.409593 | + | 0.114355i | ||||
\(226\) | 20.7646 | 1.38124 | ||||||||
\(227\) | −1.97838 | − | 11.2199i | −0.131309 | − | 0.744693i | −0.977359 | − | 0.211588i | \(-0.932136\pi\) |
0.846049 | − | 0.533104i | \(-0.178975\pi\) | |||||||
\(228\) | −10.1815 | − | 7.89750i | −0.674288 | − | 0.523025i | ||||
\(229\) | 19.5625 | − | 7.12016i | 1.29273 | − | 0.470514i | 0.398105 | − | 0.917340i | \(-0.369668\pi\) |
0.894621 | + | 0.446826i | \(0.147446\pi\) | |||||||
\(230\) | −1.55915 | + | 8.84241i | −0.102808 | + | 0.583051i | ||||
\(231\) | 5.99858 | + | 27.9927i | 0.394678 | + | 1.84178i | ||||
\(232\) | −3.20693 | + | 2.69094i | −0.210545 | + | 0.176669i | ||||
\(233\) | −2.96744 | −0.194403 | −0.0972017 | − | 0.995265i | \(-0.530989\pi\) | ||||
−0.0972017 | + | 0.995265i | \(0.530989\pi\) | |||||||
\(234\) | 2.21473 | + | 3.23445i | 0.144781 | + | 0.211443i | ||||
\(235\) | 2.13629 | 0.139356 | ||||||||
\(236\) | −0.252067 | − | 1.42954i | −0.0164082 | − | 0.0930553i | ||||
\(237\) | 8.46823 | − | 7.67861i | 0.550071 | − | 0.498779i | ||||
\(238\) | 5.14853 | + | 1.88463i | 0.333729 | + | 0.122162i | ||||
\(239\) | 0.0373684 | − | 0.0136010i | 0.00241716 | − | 0.000879776i | −0.340811 | − | 0.940132i | \(-0.610702\pi\) |
0.343228 | + | 0.939252i | \(0.388479\pi\) | |||||||
\(240\) | −1.36938 | + | 2.59730i | −0.0883931 | + | 0.167655i | ||||
\(241\) | −17.7989 | − | 6.47826i | −1.14653 | − | 0.417301i | −0.302260 | − | 0.953226i | \(-0.597741\pi\) |
−0.844266 | + | 0.535924i | \(0.819963\pi\) | |||||||
\(242\) | −14.0136 | + | 24.2723i | −0.900831 | + | 1.56029i | ||||
\(243\) | −15.3020 | + | 2.97485i | −0.981622 | + | 0.190837i | ||||
\(244\) | 8.52348 | 0.545660 | ||||||||
\(245\) | −2.10351 | + | 11.6785i | −0.134388 | + | 0.746112i | ||||
\(246\) | 5.01362 | + | 7.96139i | 0.319656 | + | 0.507600i | ||||
\(247\) | −7.44664 | − | 6.24848i | −0.473819 | − | 0.397581i | ||||
\(248\) | 2.65596 | − | 0.966690i | 0.168654 | − | 0.0613849i | ||||
\(249\) | −2.52181 | − | 11.6635i | −0.159813 | − | 0.739146i | ||||
\(250\) | 2.09776 | + | 11.8970i | 0.132674 | + | 0.752431i | ||||
\(251\) | −9.77360 | − | 16.9284i | −0.616904 | − | 1.06851i | −0.990047 | − | 0.140736i | \(-0.955053\pi\) |
0.373143 | − | 0.927774i | \(-0.378280\pi\) | |||||||
\(252\) | −0.788963 | + | 7.89795i | −0.0497000 | + | 0.497524i | ||||
\(253\) | −16.5444 | + | 28.6558i | −1.04014 | + | 1.80157i | ||||
\(254\) | −2.96241 | − | 1.07823i | −0.185878 | − | 0.0676542i | ||||
\(255\) | −5.63341 | + | 2.29899i | −0.352778 | + | 0.143968i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −12.9421 | + | 4.71055i | −0.807308 | + | 0.293836i | −0.712511 | − | 0.701661i | \(-0.752442\pi\) |
−0.0947967 | + | 0.995497i | \(0.530220\pi\) | |||||||
\(258\) | −0.444917 | + | 3.24811i | −0.0276993 | + | 0.202218i | ||||
\(259\) | 24.7608 | + | 0.0454909i | 1.53856 | + | 0.00282667i | ||||
\(260\) | −1.10754 | + | 1.91832i | −0.0686869 | + | 0.118969i | ||||
\(261\) | −3.12345 | − | 12.1645i | −0.193337 | − | 0.752961i | ||||
\(262\) | 21.6690 | 1.33872 | ||||||||
\(263\) | 10.0155 | − | 8.40396i | 0.617579 | − | 0.518211i | −0.279462 | − | 0.960157i | \(-0.590156\pi\) |
0.897042 | + | 0.441946i | \(0.145712\pi\) | |||||||
\(264\) | −8.01579 | + | 7.26836i | −0.493338 | + | 0.447336i | ||||
\(265\) | 1.58729 | + | 1.33190i | 0.0975066 | + | 0.0818178i | ||||
\(266\) | −3.38226 | − | 19.3900i | −0.207380 | − | 1.18888i | ||||
\(267\) | 5.26967 | − | 9.99495i | 0.322498 | − | 0.611681i | ||||
\(268\) | −4.26770 | + | 3.58102i | −0.260691 | + | 0.218746i | ||||
\(269\) | 7.37085 | − | 12.7667i | 0.449409 | − | 0.778399i | −0.548939 | − | 0.835862i | \(-0.684968\pi\) |
0.998348 | + | 0.0574638i | \(0.0183014\pi\) | |||||||
\(270\) | −5.25199 | − | 7.07156i | −0.319626 | − | 0.430361i | ||||
\(271\) | −9.09135 | − | 15.7467i | −0.552260 | − | 0.956542i | −0.998111 | − | 0.0614351i | \(-0.980432\pi\) |
0.445851 | − | 0.895107i | \(-0.352901\pi\) | |||||||
\(272\) | 0.359840 | + | 2.04075i | 0.0218185 | + | 0.123739i | ||||
\(273\) | −0.823523 | + | 5.93105i | −0.0498419 | + | 0.358964i | ||||
\(274\) | 17.4902 | − | 6.36590i | 1.05662 | − | 0.384578i | ||||
\(275\) | −2.30662 | + | 13.0815i | −0.139094 | + | 0.788843i | ||||
\(276\) | −6.79609 | + | 6.16239i | −0.409077 | + | 0.370932i | ||||
\(277\) | 10.5416 | − | 8.84542i | 0.633381 | − | 0.531470i | −0.268597 | − | 0.963253i | \(-0.586560\pi\) |
0.901977 | + | 0.431783i | \(0.142115\pi\) | |||||||
\(278\) | 3.92859 | − | 6.80451i | 0.235621 | − | 0.408108i | ||||
\(279\) | −0.827334 | + | 8.43878i | −0.0495312 | + | 0.505217i | ||||
\(280\) | −4.21742 | + | 1.52624i | −0.252039 | + | 0.0912106i | ||||
\(281\) | −12.2374 | + | 10.2684i | −0.730021 | + | 0.612561i | −0.930137 | − | 0.367212i | \(-0.880312\pi\) |
0.200116 | + | 0.979772i | \(0.435868\pi\) | |||||||
\(282\) | 1.72470 | + | 1.33780i | 0.102704 | + | 0.0796646i | ||||
\(283\) | 6.79540 | + | 5.70201i | 0.403944 | + | 0.338950i | 0.822016 | − | 0.569465i | \(-0.192849\pi\) |
−0.418072 | + | 0.908414i | \(0.637294\pi\) | |||||||
\(284\) | −7.40425 | − | 6.21291i | −0.439362 | − | 0.368668i | ||||
\(285\) | 17.2597 | + | 13.3879i | 1.02238 | + | 0.793030i | ||||
\(286\) | −6.25327 | + | 5.24711i | −0.369763 | + | 0.310268i | ||||
\(287\) | −2.52162 | + | 14.1488i | −0.148847 | + | 0.835177i | ||||
\(288\) | −2.73204 | + | 1.23934i | −0.160987 | + | 0.0730290i | ||||
\(289\) | 6.35292 | − | 11.0036i | 0.373701 | − | 0.647269i | ||||
\(290\) | 5.43641 | − | 4.56169i | 0.319237 | − | 0.267871i | ||||
\(291\) | −12.1424 | + | 11.0102i | −0.711802 | + | 0.645429i | ||||
\(292\) | −0.875631 | + | 4.96595i | −0.0512424 | + | 0.290610i | ||||
\(293\) | −18.0435 | + | 6.56729i | −1.05411 | + | 0.383665i | −0.810213 | − | 0.586135i | \(-0.800649\pi\) |
−0.243899 | + | 0.969801i | \(0.578427\pi\) | |||||||
\(294\) | −9.01160 | + | 8.11117i | −0.525567 | + | 0.473053i | ||||
\(295\) | 0.427305 | + | 2.42337i | 0.0248786 | + | 0.141094i | ||||
\(296\) | 4.67936 | + | 8.10490i | 0.271983 | + | 0.471088i | ||||
\(297\) | −9.27434 | − | 31.1083i | −0.538152 | − | 1.80508i | ||||
\(298\) | 4.21597 | − | 7.30228i | 0.244225 | − | 0.423010i | ||||
\(299\) | −5.30176 | + | 4.44870i | −0.306609 | + | 0.257275i | ||||
\(300\) | −1.71761 | + | 3.25777i | −0.0991660 | + | 0.188088i | ||||
\(301\) | −3.84218 | + | 3.21196i | −0.221460 | + | 0.185134i | ||||
\(302\) | −9.43605 | − | 7.91779i | −0.542984 | − | 0.455617i | ||||
\(303\) | −15.0110 | + | 13.6113i | −0.862361 | + | 0.781950i | ||||
\(304\) | 5.69891 | − | 4.78195i | 0.326855 | − | 0.274264i | ||||
\(305\) | −14.4490 | −0.827350 | ||||||||
\(306\) | −5.98772 | − | 1.67173i | −0.342295 | − | 0.0955664i | ||||
\(307\) | 4.64779 | − | 8.05021i | 0.265264 | − | 0.459450i | −0.702369 | − | 0.711813i | \(-0.747874\pi\) |
0.967633 | + | 0.252363i | \(0.0812077\pi\) | |||||||
\(308\) | −16.5285 | − | 0.0303663i | −0.941797 | − | 0.00173028i | ||||
\(309\) | −3.48130 | + | 25.4152i | −0.198044 | + | 1.44582i | ||||
\(310\) | −4.50239 | + | 1.63874i | −0.255719 | + | 0.0930740i | ||||
\(311\) | 17.2554 | + | 14.4790i | 0.978466 | + | 0.821030i | 0.983857 | − | 0.178955i | \(-0.0572717\pi\) |
−0.00539151 | + | 0.999985i | \(0.501716\pi\) | |||||||
\(312\) | −2.09546 | + | 0.855154i | −0.118632 | + | 0.0484136i | ||||
\(313\) | −13.3198 | − | 4.84803i | −0.752882 | − | 0.274027i | −0.0630642 | − | 0.998009i | \(-0.520087\pi\) |
−0.689818 | + | 0.723983i | \(0.742310\pi\) | |||||||
\(314\) | 6.13893 | − | 10.6329i | 0.346440 | − | 0.600052i | ||||
\(315\) | 1.33745 | − | 13.3886i | 0.0753570 | − | 0.754364i | ||||
\(316\) | 3.29990 | + | 5.71559i | 0.185634 | + | 0.321527i | ||||
\(317\) | −0.460115 | − | 2.60944i | −0.0258427 | − | 0.146561i | 0.969156 | − | 0.246447i | \(-0.0792632\pi\) |
−0.994999 | + | 0.0998863i | \(0.968152\pi\) | |||||||
\(318\) | 0.447408 | + | 2.06929i | 0.0250894 | + | 0.116040i | ||||
\(319\) | 24.5757 | − | 8.94483i | 1.37598 | − | 0.500814i | ||||
\(320\) | −1.29860 | − | 1.08966i | −0.0725940 | − | 0.0609136i | ||||
\(321\) | 8.32228 | + | 13.2154i | 0.464504 | + | 0.737611i | ||||
\(322\) | −14.0135 | − | 0.0257457i | −0.780940 | − | 0.00143475i | ||||
\(323\) | 15.4162 | 0.857780 | ||||||||
\(324\) | 0.188280 | − | 8.99803i | 0.0104600 | − | 0.499891i | ||||
\(325\) | −1.38919 | + | 2.40614i | −0.0770581 | + | 0.133469i | ||||
\(326\) | 3.81483 | + | 1.38848i | 0.211284 | + | 0.0769011i | ||||
\(327\) | 14.9814 | − | 28.4151i | 0.828471 | − | 1.57136i | ||||
\(328\) | −5.10442 | + | 1.85786i | −0.281844 | + | 0.102583i | ||||
\(329\) | 0.572938 | + | 3.28457i | 0.0315871 | + | 0.181084i | ||||
\(330\) | 13.5884 | − | 12.3213i | 0.748017 | − | 0.678268i | ||||
\(331\) | 2.80470 | + | 15.9062i | 0.154160 | + | 0.874287i | 0.959549 | + | 0.281540i | \(0.0908453\pi\) |
−0.805389 | + | 0.592746i | \(0.798044\pi\) | |||||||
\(332\) | 6.88954 | 0.378113 | ||||||||
\(333\) | −27.9934 | + | 2.15429i | −1.53403 | + | 0.118054i | ||||
\(334\) | 4.53330 | 0.248051 | ||||||||
\(335\) | 7.23462 | − | 6.07056i | 0.395269 | − | 0.331670i | ||||
\(336\) | −4.36063 | − | 1.40886i | −0.237892 | − | 0.0768597i | ||||
\(337\) | 3.43130 | − | 19.4599i | 0.186915 | − | 1.06005i | −0.736556 | − | 0.676377i | \(-0.763549\pi\) |
0.923470 | − | 0.383670i | \(-0.125340\pi\) | |||||||
\(338\) | 10.6116 | − | 3.86229i | 0.577193 | − | 0.210081i | ||||
\(339\) | −28.4183 | − | 22.0432i | −1.54347 | − | 1.19722i | ||||
\(340\) | −0.610002 | − | 3.45949i | −0.0330820 | − | 0.187617i | ||||
\(341\) | −17.6571 | −0.956187 | ||||||||
\(342\) | 5.55055 | + | 21.6170i | 0.300139 | + | 1.16891i | ||||
\(343\) | −18.5200 | − | 0.102076i | −0.999985 | − | 0.00551161i | ||||
\(344\) | −1.77866 | − | 0.647378i | −0.0958988 | − | 0.0349043i | ||||
\(345\) | 11.5208 | − | 10.4465i | 0.620257 | − | 0.562421i | ||||
\(346\) | 11.0308 | − | 4.01490i | 0.593022 | − | 0.215842i | ||||
\(347\) | −0.399049 | + | 2.26312i | −0.0214221 | + | 0.121491i | −0.993644 | − | 0.112572i | \(-0.964091\pi\) |
0.972221 | + | 0.234063i | \(0.0752021\pi\) | |||||||
\(348\) | 7.24563 | − | 0.278390i | 0.388407 | − | 0.0149233i | ||||
\(349\) | −1.98276 | − | 11.2448i | −0.106135 | − | 0.601920i | −0.990761 | − | 0.135619i | \(-0.956698\pi\) |
0.884626 | − | 0.466301i | \(-0.154413\pi\) | |||||||
\(350\) | −5.28988 | + | 1.91436i | −0.282756 | + | 0.102327i | ||||
\(351\) | 0.402559 | − | 6.77776i | 0.0214870 | − | 0.361770i | ||||
\(352\) | −3.12359 | − | 5.41022i | −0.166488 | − | 0.288366i | ||||
\(353\) | 8.03755 | + | 2.92543i | 0.427795 | + | 0.155705i | 0.546939 | − | 0.837172i | \(-0.315793\pi\) |
−0.119144 | + | 0.992877i | \(0.538015\pi\) | |||||||
\(354\) | −1.17259 | + | 2.22405i | −0.0623227 | + | 0.118207i | ||||
\(355\) | 12.5517 | + | 10.5321i | 0.666176 | + | 0.558988i | ||||
\(356\) | 4.99730 | + | 4.19323i | 0.264856 | + | 0.222241i | ||||
\(357\) | −5.04556 | − | 8.04486i | −0.267039 | − | 0.425779i | ||||
\(358\) | −2.68497 | − | 0.977249i | −0.141905 | − | 0.0516492i | ||||
\(359\) | 4.47980 | − | 7.75924i | 0.236435 | − | 0.409517i | −0.723254 | − | 0.690582i | \(-0.757354\pi\) |
0.959689 | + | 0.281065i | \(0.0906877\pi\) | |||||||
\(360\) | 4.63136 | − | 2.10094i | 0.244094 | − | 0.110729i | ||||
\(361\) | −18.1723 | − | 31.4754i | −0.956438 | − | 1.65660i | ||||
\(362\) | 10.1452 | + | 3.69256i | 0.533221 | + | 0.194077i | ||||
\(363\) | 44.9460 | − | 18.3424i | 2.35905 | − | 0.962727i | ||||
\(364\) | −3.24648 | − | 1.18838i | −0.170162 | − | 0.0622881i | ||||
\(365\) | 1.48437 | − | 8.41829i | 0.0776956 | − | 0.440634i | ||||
\(366\) | −11.6652 | − | 9.04835i | −0.609749 | − | 0.472965i | ||||
\(367\) | 1.66934 | + | 9.46732i | 0.0871391 | + | 0.494190i | 0.996874 | + | 0.0790017i | \(0.0251733\pi\) |
−0.909735 | + | 0.415188i | \(0.863716\pi\) | |||||||
\(368\) | −2.64830 | − | 4.58699i | −0.138052 | − | 0.239113i | ||||
\(369\) | 1.59003 | − | 16.2183i | 0.0827737 | − | 0.844289i | ||||
\(370\) | −7.93248 | − | 13.7395i | −0.412390 | − | 0.714280i | ||||
\(371\) | −1.62211 | + | 2.79769i | −0.0842156 | + | 0.145249i | ||||
\(372\) | −4.66115 | − | 1.49650i | −0.241669 | − | 0.0775901i | ||||
\(373\) | 0.268372 | − | 1.52201i | 0.0138958 | − | 0.0788068i | −0.977071 | − | 0.212913i | \(-0.931705\pi\) |
0.990967 | + | 0.134106i | \(0.0428162\pi\) | |||||||
\(374\) | 2.24799 | − | 12.7490i | 0.116241 | − | 0.659233i | ||||
\(375\) | 9.75859 | − | 18.5091i | 0.503932 | − | 0.955804i | ||||
\(376\) | −0.965365 | + | 0.810037i | −0.0497849 | + | 0.0417745i | ||||
\(377\) | 5.47022 | 0.281731 | ||||||||
\(378\) | 9.46406 | − | 9.97154i | 0.486779 | − | 0.512881i | ||||
\(379\) | −11.2455 | −0.577644 | −0.288822 | − | 0.957383i | \(-0.593264\pi\) | ||||
−0.288822 | + | 0.957383i | \(0.593264\pi\) | |||||||
\(380\) | −9.66081 | + | 8.10638i | −0.495589 | + | 0.415849i | ||||
\(381\) | 2.90972 | + | 4.62049i | 0.149069 | + | 0.236715i | ||||
\(382\) | −3.47551 | + | 19.7106i | −0.177823 | + | 1.00848i | ||||
\(383\) | 4.04411 | − | 22.9353i | 0.206644 | − | 1.17194i | −0.688187 | − | 0.725533i | \(-0.741593\pi\) |
0.894831 | − | 0.446404i | \(-0.147296\pi\) | |||||||
\(384\) | −0.366035 | − | 1.69293i | −0.0186791 | − | 0.0863921i | ||||
\(385\) | 28.0191 | + | 0.0514771i | 1.42799 | + | 0.00262352i | ||||
\(386\) | 10.5000 | + | 18.1866i | 0.534437 | + | 0.925672i | ||||
\(387\) | 4.05703 | − | 3.97303i | 0.206231 | − | 0.201960i | ||||
\(388\) | −4.73166 | − | 8.19547i | −0.240214 | − | 0.416062i | ||||
\(389\) | −1.53598 | − | 8.71099i | −0.0778774 | − | 0.441665i | −0.998668 | − | 0.0516063i | \(-0.983566\pi\) |
0.920790 | − | 0.390058i | \(-0.127545\pi\) | |||||||
\(390\) | 3.55223 | − | 1.44966i | 0.179874 | − | 0.0734064i | ||||
\(391\) | 1.90593 | − | 10.8091i | 0.0963870 | − | 0.546638i | ||||
\(392\) | −3.47770 | − | 6.07500i | −0.175650 | − | 0.306834i | ||||
\(393\) | −29.6561 | − | 23.0034i | −1.49595 | − | 1.16037i | ||||
\(394\) | −7.60041 | − | 2.76632i | −0.382903 | − | 0.139365i | ||||
\(395\) | −5.59400 | − | 9.68909i | −0.281465 | − | 0.487511i | ||||
\(396\) | 18.6863 | − | 1.43804i | 0.939022 | − | 0.0722644i | ||||
\(397\) | −1.63892 | + | 2.83870i | −0.0822552 | + | 0.142470i | −0.904218 | − | 0.427071i | \(-0.859546\pi\) |
0.821963 | + | 0.569541i | \(0.192879\pi\) | |||||||
\(398\) | 13.2029 | + | 4.80546i | 0.661801 | + | 0.240876i | ||||
\(399\) | −15.9551 | + | 30.1276i | −0.798753 | + | 1.50827i | ||||
\(400\) | −1.62883 | − | 1.36675i | −0.0814414 | − | 0.0683375i | ||||
\(401\) | 17.5385 | + | 14.7166i | 0.875833 | + | 0.734911i | 0.965318 | − | 0.261077i | \(-0.0840777\pi\) |
−0.0894852 | + | 0.995988i | \(0.528522\pi\) | |||||||
\(402\) | 9.64228 | − | 0.370473i | 0.480913 | − | 0.0184775i | ||||
\(403\) | −3.47049 | − | 1.26315i | −0.172877 | − | 0.0629222i | ||||
\(404\) | −5.84950 | − | 10.1316i | −0.291023 | − | 0.504067i | ||||
\(405\) | −0.319173 | + | 15.2535i | −0.0158598 | + | 0.757952i | ||||
\(406\) | 8.47165 | + | 7.13513i | 0.420441 | + | 0.354110i | ||||
\(407\) | −10.1525 | − | 57.5775i | −0.503239 | − | 2.85401i | ||||
\(408\) | 1.67395 | − | 3.17496i | 0.0828727 | − | 0.157184i | ||||
\(409\) | −4.49402 | + | 25.4869i | −0.222215 | + | 1.26024i | 0.645723 | + | 0.763572i | \(0.276556\pi\) |
−0.867938 | + | 0.496673i | \(0.834555\pi\) | |||||||
\(410\) | 8.65302 | − | 3.14944i | 0.427342 | − | 0.155540i | ||||
\(411\) | −30.6949 | − | 9.85485i | −1.51407 | − | 0.486104i | ||||
\(412\) | −13.9173 | − | 5.06548i | −0.685656 | − | 0.249558i | ||||
\(413\) | −3.61135 | + | 1.30692i | −0.177703 | + | 0.0643091i | ||||
\(414\) | 15.8430 | − | 1.21923i | 0.778639 | − | 0.0599218i | ||||
\(415\) | −11.6792 | −0.573308 | ||||||||
\(416\) | −0.226902 | − | 1.28683i | −0.0111248 | − | 0.0630919i | ||||
\(417\) | −12.6002 | + | 5.14212i | −0.617033 | + | 0.251810i | ||||
\(418\) | −43.6725 | + | 15.8955i | −2.13609 | + | 0.777473i | ||||
\(419\) | 0.330193 | − | 1.87262i | 0.0161310 | − | 0.0914835i | −0.975679 | − | 0.219202i | \(-0.929654\pi\) |
0.991810 | + | 0.127719i | \(0.0407656\pi\) | |||||||
\(420\) | 7.39216 | + | 2.38831i | 0.360700 | + | 0.116537i | ||||
\(421\) | 1.82280 | − | 1.52951i | 0.0888380 | − | 0.0745439i | −0.597287 | − | 0.802027i | \(-0.703755\pi\) |
0.686125 | + | 0.727484i | \(0.259310\pi\) | |||||||
\(422\) | 9.40986 | 0.458065 | ||||||||
\(423\) | −0.940234 | − | 3.66180i | −0.0457157 | − | 0.178043i | ||||
\(424\) | −1.22231 | −0.0593606 | ||||||||
\(425\) | −0.765122 | − | 4.33922i | −0.0371139 | − | 0.210483i | ||||
\(426\) | 3.53793 | + | 16.3631i | 0.171413 | + | 0.792797i | ||||
\(427\) | −3.87513 | − | 22.2156i | −0.187531 | − | 1.07509i | ||||
\(428\) | −8.47300 | + | 3.08392i | −0.409558 | + | 0.149067i | ||||
\(429\) | 14.1284 | − | 0.542838i | 0.682126 | − | 0.0262085i | ||||
\(430\) | 3.01519 | + | 1.09744i | 0.145405 | + | 0.0529232i | ||||
\(431\) | −9.56044 | + | 16.5592i | −0.460510 | + | 0.797627i | −0.998986 | − | 0.0450138i | \(-0.985667\pi\) |
0.538476 | + | 0.842641i | \(0.319000\pi\) | |||||||
\(432\) | 5.05471 | + | 1.20411i | 0.243195 | + | 0.0579329i | ||||
\(433\) | 39.3705 | 1.89202 | 0.946012 | − | 0.324132i | \(-0.105072\pi\) | ||||
0.946012 | + | 0.324132i | \(0.105072\pi\) | |||||||
\(434\) | −3.72709 | − | 6.48299i | −0.178906 | − | 0.311193i | ||||
\(435\) | −12.2828 | + | 0.471927i | −0.588916 | + | 0.0226272i | ||||
\(436\) | 14.2070 | + | 11.9211i | 0.680393 | + | 0.570918i | ||||
\(437\) | −37.0272 | + | 13.4768i | −1.77125 | + | 0.644682i | ||||
\(438\) | 6.47013 | − | 5.86682i | 0.309155 | − | 0.280327i | ||||
\(439\) | −3.91770 | − | 22.2184i | −0.186982 | − | 1.06043i | −0.923383 | − | 0.383881i | \(-0.874587\pi\) |
0.736401 | − | 0.676546i | \(-0.236524\pi\) | |||||||
\(440\) | 5.29512 | + | 9.17142i | 0.252435 | + | 0.437230i | ||||
\(441\) | 20.9439 | − | 1.53439i | 0.997327 | − | 0.0730661i | ||||
\(442\) | 1.35387 | − | 2.34498i | 0.0643972 | − | 0.111539i | ||||
\(443\) | 21.7579 | + | 7.91924i | 1.03375 | + | 0.376254i | 0.802508 | − | 0.596642i | \(-0.203499\pi\) |
0.231243 | + | 0.972896i | \(0.425721\pi\) | |||||||
\(444\) | 2.19983 | − | 16.0598i | 0.104399 | − | 0.762166i | ||||
\(445\) | −8.47143 | − | 7.10838i | −0.401585 | − | 0.336969i | ||||
\(446\) | −20.6225 | + | 7.50597i | −0.976503 | + | 0.355418i | ||||
\(447\) | −13.5219 | + | 5.51827i | −0.639564 | + | 0.261005i | ||||
\(448\) | 1.32708 | − | 2.28885i | 0.0626988 | − | 0.108138i | ||||
\(449\) | −17.1874 | + | 29.7695i | −0.811125 | + | 1.40491i | 0.100953 | + | 0.994891i | \(0.467811\pi\) |
−0.912078 | + | 0.410018i | \(0.865522\pi\) | |||||||
\(450\) | 5.80909 | − | 2.63520i | 0.273843 | − | 0.124224i | ||||
\(451\) | 33.9347 | 1.59792 | ||||||||
\(452\) | 15.9066 | − | 13.3472i | 0.748184 | − | 0.627801i | ||||
\(453\) | 4.50878 | + | 20.8533i | 0.211841 | + | 0.979776i | ||||
\(454\) | −8.72755 | − | 7.32329i | −0.409604 | − | 0.343699i | ||||
\(455\) | 5.50344 | + | 2.01455i | 0.258005 | + | 0.0944434i | ||||
\(456\) | −12.8759 | + | 0.494715i | −0.602970 | + | 0.0231672i | ||||
\(457\) | −5.95597 | + | 4.99766i | −0.278609 | + | 0.233780i | −0.771374 | − | 0.636382i | \(-0.780430\pi\) |
0.492766 | + | 0.870162i | \(0.335986\pi\) | |||||||
\(458\) | 10.4090 | − | 18.0289i | 0.486380 | − | 0.842435i | ||||
\(459\) | 6.42009 | + | 8.64435i | 0.299664 | + | 0.403484i | ||||
\(460\) | 4.48941 | + | 7.77588i | 0.209320 | + | 0.362552i | ||||
\(461\) | −3.93791 | − | 22.3330i | −0.183407 | − | 1.04015i | −0.927985 | − | 0.372617i | \(-0.878461\pi\) |
0.744578 | − | 0.667535i | \(-0.232651\pi\) | |||||||
\(462\) | 22.5885 | + | 17.5878i | 1.05091 | + | 0.818260i | ||||
\(463\) | −32.9983 | + | 12.0104i | −1.53356 | + | 0.558170i | −0.964490 | − | 0.264119i | \(-0.914919\pi\) |
−0.569070 | + | 0.822289i | \(0.692696\pi\) | |||||||
\(464\) | −0.726953 | + | 4.12275i | −0.0337479 | + | 0.191394i | ||||
\(465\) | 7.90160 | + | 2.53688i | 0.366428 | + | 0.117645i | ||||
\(466\) | −2.27319 | + | 1.90743i | −0.105303 | + | 0.0883601i | ||||
\(467\) | −4.99826 | + | 8.65724i | −0.231292 | + | 0.400609i | −0.958189 | − | 0.286138i | \(-0.907629\pi\) |
0.726897 | + | 0.686747i | \(0.240962\pi\) | |||||||
\(468\) | 3.77564 | + | 1.05413i | 0.174529 | + | 0.0487273i | ||||
\(469\) | 11.2738 | + | 9.49522i | 0.520577 | + | 0.438449i | ||||
\(470\) | 1.63649 | − | 1.37318i | 0.0754857 | − | 0.0633400i | ||||
\(471\) | −19.6894 | + | 8.03523i | −0.907241 | + | 0.370244i | ||||
\(472\) | −1.11199 | − | 0.933067i | −0.0511833 | − | 0.0429479i | ||||
\(473\) | 9.05826 | + | 7.60078i | 0.416499 | + | 0.349484i | ||||
\(474\) | 1.55133 | − | 11.3254i | 0.0712548 | − | 0.520194i | ||||
\(475\) | −12.1175 | + | 10.1678i | −0.555989 | + | 0.466530i | ||||
\(476\) | 5.15542 | − | 1.86570i | 0.236298 | − | 0.0855142i | ||||
\(477\) | 1.58439 | − | 3.30697i | 0.0725443 | − | 0.151416i | ||||
\(478\) | 0.0198833 | − | 0.0344389i | 0.000909443 | − | 0.00157520i | ||||
\(479\) | 14.8336 | − | 12.4469i | 0.677765 | − | 0.568712i | −0.237587 | − | 0.971366i | \(-0.576357\pi\) |
0.915352 | + | 0.402654i | \(0.131912\pi\) | |||||||
\(480\) | 0.620504 | + | 2.86986i | 0.0283220 | + | 0.130991i | ||||
\(481\) | 2.12352 | − | 12.0431i | 0.0968241 | − | 0.549117i | ||||
\(482\) | −17.7989 | + | 6.47826i | −0.810716 | + | 0.295077i | ||||
\(483\) | 19.1514 | + | 14.9116i | 0.871420 | + | 0.678502i | ||||
\(484\) | 4.86689 | + | 27.6015i | 0.221222 | + | 1.25461i | ||||
\(485\) | 8.02112 | + | 13.8930i | 0.364220 | + | 0.630848i | ||||
\(486\) | −9.80979 | + | 12.1148i | −0.444981 | + | 0.549538i | ||||
\(487\) | 8.70939 | − | 15.0851i | 0.394660 | − | 0.683571i | −0.598398 | − | 0.801199i | \(-0.704196\pi\) |
0.993058 | + | 0.117628i | \(0.0375290\pi\) | |||||||
\(488\) | 6.52937 | − | 5.47879i | 0.295571 | − | 0.248013i | ||||
\(489\) | −3.74697 | − | 5.95002i | −0.169444 | − | 0.269069i | ||||
\(490\) | 5.89541 | + | 10.2984i | 0.266328 | + | 0.465232i | ||||
\(491\) | 14.8274 | + | 12.4416i | 0.669149 | + | 0.561483i | 0.912813 | − | 0.408377i | \(-0.133905\pi\) |
−0.243664 | + | 0.969860i | \(0.578349\pi\) | |||||||
\(492\) | 8.95813 | + | 2.87609i | 0.403864 | + | 0.129664i | ||||
\(493\) | −6.64552 | + | 5.57626i | −0.299299 | + | 0.251142i | ||||
\(494\) | −9.72090 | −0.437364 | ||||||||
\(495\) | −31.6771 | + | 2.43778i | −1.42378 | + | 0.109570i | ||||
\(496\) | 1.41321 | − | 2.44775i | 0.0634549 | − | 0.109907i | ||||
\(497\) | −12.8270 | + | 22.1231i | −0.575370 | + | 0.992355i | ||||
\(498\) | −9.42899 | − | 7.31379i | −0.422523 | − | 0.327739i | ||||
\(499\) | −36.1469 | + | 13.1564i | −1.61816 | + | 0.588961i | −0.983030 | − | 0.183447i | \(-0.941274\pi\) |
−0.635127 | + | 0.772408i | \(0.719052\pi\) | |||||||
\(500\) | 9.25420 | + | 7.76520i | 0.413861 | + | 0.347270i | ||||
\(501\) | −6.20425 | − | 4.81246i | −0.277186 | − | 0.215005i | ||||
\(502\) | −18.3684 | − | 6.68554i | −0.819820 | − | 0.298390i | ||||
\(503\) | −10.1741 | + | 17.6220i | −0.453640 | + | 0.785727i | −0.998609 | − | 0.0527289i | \(-0.983208\pi\) |
0.544969 | + | 0.838456i | \(0.316541\pi\) | |||||||
\(504\) | 4.47232 | + | 6.55731i | 0.199213 | + | 0.292086i | ||||
\(505\) | 9.91609 | + | 17.1752i | 0.441260 | + | 0.764285i | ||||
\(506\) | 5.74581 | + | 32.5861i | 0.255433 | + | 1.44863i | ||||
\(507\) | −18.6231 | − | 5.97909i | −0.827079 | − | 0.265541i | ||||
\(508\) | −2.96241 | + | 1.07823i | −0.131436 | + | 0.0478387i | ||||
\(509\) | 9.70115 | + | 8.14024i | 0.429996 | + | 0.360810i | 0.831950 | − | 0.554850i | \(-0.187224\pi\) |
−0.401954 | + | 0.915660i | \(0.631669\pi\) | |||||||
\(510\) | −2.83768 | + | 5.38221i | −0.125655 | + | 0.238328i | ||||
\(511\) | 13.3413 | + | 0.0245109i | 0.590186 | + | 0.00108430i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 15.3516 | − | 35.4772i | 0.677792 | − | 1.56636i | ||||
\(514\) | −6.88636 | + | 11.9275i | −0.303745 | + | 0.526101i | ||||
\(515\) | 23.5926 | + | 8.58702i | 1.03962 | + | 0.378389i | ||||
\(516\) | 1.74702 | + | 2.77418i | 0.0769082 | + | 0.122127i | ||||
\(517\) | 7.39789 | − | 2.69261i | 0.325359 | − | 0.118421i | ||||
\(518\) | 18.9971 | − | 15.8811i | 0.834686 | − | 0.697776i | ||||
\(519\) | −19.3589 | − | 6.21534i | −0.849761 | − | 0.272823i | ||||
\(520\) | 0.384646 | + | 2.18143i | 0.0168678 | + | 0.0956622i | ||||
\(521\) | 13.9161 | 0.609676 | 0.304838 | − | 0.952404i | \(-0.401398\pi\) | ||||
0.304838 | + | 0.952404i | \(0.401398\pi\) | |||||||
\(522\) | −10.2119 | − | 7.31080i | −0.446961 | − | 0.319985i | ||||
\(523\) | −9.94983 | −0.435075 | −0.217538 | − | 0.976052i | \(-0.569803\pi\) | ||||
−0.217538 | + | 0.976052i | \(0.569803\pi\) | |||||||
\(524\) | 16.5994 | − | 13.9286i | 0.725150 | − | 0.608473i | ||||
\(525\) | 9.27194 | + | 2.99564i | 0.404661 | + | 0.130740i | ||||
\(526\) | 2.27032 | − | 12.8756i | 0.0989906 | − | 0.561404i | ||||
\(527\) | 5.50378 | − | 2.00321i | 0.239748 | − | 0.0872612i | ||||
\(528\) | −1.46844 | + | 10.7203i | −0.0639057 | + | 0.466543i | ||||
\(529\) | 0.877612 | + | 4.97718i | 0.0381570 | + | 0.216399i | ||||
\(530\) | 2.07206 | 0.0900047 | ||||||||
\(531\) | 3.96581 | − | 1.79903i | 0.172102 | − | 0.0780711i | ||||
\(532\) | −15.0546 | − | 12.6795i | −0.652701 | − | 0.549728i | ||||
\(533\) | 6.66983 | + | 2.42762i | 0.288902 | + | 0.105152i | ||||
\(534\) | −2.38783 | − | 11.0439i | −0.103332 | − | 0.477914i | ||||
\(535\) | 14.3635 | − | 5.22787i | 0.620986 | − | 0.226021i | ||||
\(536\) | −0.967408 | + | 5.48644i | −0.0417857 | + | 0.236978i | ||||
\(537\) | 2.63721 | + | 4.18776i | 0.113804 | + | 0.180715i | ||||
\(538\) | −2.55987 | − | 14.5177i | −0.110364 | − | 0.625904i | ||||
\(539\) | 7.43539 | + | 43.0935i | 0.320265 | + | 1.85617i | ||||
\(540\) | −8.56877 | − | 2.04122i | −0.368741 | − | 0.0878399i | ||||
\(541\) | 9.79775 | + | 16.9702i | 0.421238 | + | 0.729606i | 0.996061 | − | 0.0886719i | \(-0.0282623\pi\) |
−0.574823 | + | 0.818278i | \(0.694929\pi\) | |||||||
\(542\) | −17.0861 | − | 6.21885i | −0.733913 | − | 0.267122i | ||||
\(543\) | −9.96476 | − | 15.8236i | −0.427629 | − | 0.679054i | ||||
\(544\) | 1.58743 | + | 1.33201i | 0.0680603 | + | 0.0571094i | ||||
\(545\) | −24.0838 | − | 20.2087i | −1.03164 | − | 0.865646i | ||||
\(546\) | 3.18155 | + | 5.07280i | 0.136158 | + | 0.217096i | ||||
\(547\) | −14.4391 | − | 5.25541i | −0.617372 | − | 0.224705i | 0.0143537 | − | 0.999897i | \(-0.495431\pi\) |
−0.631726 | + | 0.775192i | \(0.717653\pi\) | |||||||
\(548\) | 9.30633 | − | 16.1190i | 0.397547 | − | 0.688571i | ||||
\(549\) | 6.35939 | + | 24.7670i | 0.271412 | + | 1.05703i | ||||
\(550\) | 6.64164 | + | 11.5037i | 0.283201 | + | 0.490518i | ||||
\(551\) | 29.2657 | + | 10.6519i | 1.24676 | + | 0.453784i | ||||
\(552\) | −1.24500 | + | 9.08911i | −0.0529908 | + | 0.386858i | ||||
\(553\) | 13.3968 | − | 11.1994i | 0.569691 | − | 0.476247i | ||||
\(554\) | 2.38958 | − | 13.5520i | 0.101523 | − | 0.575768i | ||||
\(555\) | −3.72916 | + | 27.2247i | −0.158294 | + | 1.15562i | ||||
\(556\) | −1.36438 | − | 7.73781i | −0.0578628 | − | 0.328156i | ||||
\(557\) | 0.0271240 | + | 0.0469801i | 0.00114928 | + | 0.00199061i | 0.866599 | − | 0.499004i | \(-0.166301\pi\) |
−0.865450 | + | 0.500995i | \(0.832968\pi\) | |||||||
\(558\) | 4.79057 | + | 6.99628i | 0.202801 | + | 0.296176i | ||||
\(559\) | 1.23665 | + | 2.14193i | 0.0523045 | + | 0.0905941i | ||||
\(560\) | −2.24968 | + | 3.88007i | −0.0950662 | + | 0.163963i | ||||
\(561\) | −16.6106 | + | 15.0618i | −0.701301 | + | 0.635908i | ||||
\(562\) | −2.77399 | + | 15.7321i | −0.117014 | + | 0.663618i | ||||
\(563\) | −2.64187 | + | 14.9828i | −0.111342 | + | 0.631449i | 0.877155 | + | 0.480207i | \(0.159438\pi\) |
−0.988497 | + | 0.151242i | \(0.951673\pi\) | |||||||
\(564\) | 2.18111 | − | 0.0838021i | 0.0918414 | − | 0.00352871i | ||||
\(565\) | −26.9649 | + | 22.6263i | −1.13442 | + | 0.951894i | ||||
\(566\) | 8.87076 | 0.372866 | ||||||||
\(567\) | −23.5380 | + | 3.60015i | −0.988504 | + | 0.151192i | ||||
\(568\) | −9.66557 | −0.405558 | ||||||||
\(569\) | −17.9447 | + | 15.0574i | −0.752283 | + | 0.631240i | −0.936106 | − | 0.351719i | \(-0.885597\pi\) |
0.183823 | + | 0.982959i | \(0.441153\pi\) | |||||||
\(570\) | 21.8273 | − | 0.838643i | 0.914245 | − | 0.0351269i | ||||
\(571\) | −1.60735 | + | 9.11572i | −0.0672654 | + | 0.381481i | 0.932527 | + | 0.361101i | \(0.117599\pi\) |
−0.999792 | + | 0.0203806i | \(0.993512\pi\) | |||||||
\(572\) | −1.41750 | + | 8.03905i | −0.0592687 | + | 0.336129i | ||||
\(573\) | 25.6809 | − | 23.2863i | 1.07284 | − | 0.972800i | ||||
\(574\) | 7.16299 | + | 12.4595i | 0.298977 | + | 0.520048i | ||||
\(575\) | 5.63104 | + | 9.75324i | 0.234830 | + | 0.406738i | ||||
\(576\) | −1.29623 | + | 2.70551i | −0.0540095 | + | 0.112730i | ||||
\(577\) | 13.1250 | + | 22.7331i | 0.546400 | + | 0.946393i | 0.998517 | + | 0.0544343i | \(0.0173355\pi\) |
−0.452117 | + | 0.891959i | \(0.649331\pi\) | |||||||
\(578\) | −2.20635 | − | 12.5128i | −0.0917719 | − | 0.520464i | ||||
\(579\) | 4.93620 | − | 36.0366i | 0.205141 | − | 1.49763i | ||||
\(580\) | 1.23233 | − | 6.98891i | 0.0511698 | − | 0.290199i | ||||
\(581\) | −3.13228 | − | 17.9569i | −0.129949 | − | 0.744977i | ||||
\(582\) | −2.22442 | + | 16.2393i | −0.0922050 | + | 0.673141i | ||||
\(583\) | 7.17549 | + | 2.61166i | 0.297178 | + | 0.108164i | ||||
\(584\) | 2.52128 | + | 4.36698i | 0.104331 | + | 0.180707i | ||||
\(585\) | −6.40049 | − | 1.78697i | −0.264628 | − | 0.0738821i | ||||
\(586\) | −9.60074 | + | 16.6290i | −0.396603 | + | 0.686937i | ||||
\(587\) | 38.4208 | + | 13.9840i | 1.58580 | + | 0.577183i | 0.976454 | − | 0.215724i | \(-0.0692112\pi\) |
0.609343 | + | 0.792907i | \(0.291433\pi\) | |||||||
\(588\) | −1.68952 | + | 12.0061i | −0.0696748 | + | 0.495122i | ||||
\(589\) | −16.1075 | − | 13.5158i | −0.663697 | − | 0.556908i | ||||
\(590\) | 1.88504 | + | 1.58174i | 0.0776060 | + | 0.0651192i | ||||
\(591\) | 7.46521 | + | 11.8544i | 0.307078 | + | 0.487625i | ||||
\(592\) | 8.79433 | + | 3.20087i | 0.361445 | + | 0.131555i | ||||
\(593\) | 14.1694 | + | 24.5421i | 0.581867 | + | 1.00782i | 0.995258 | + | 0.0972697i | \(0.0310109\pi\) |
−0.413391 | + | 0.910554i | \(0.635656\pi\) | |||||||
\(594\) | −27.1006 | − | 17.8689i | −1.11195 | − | 0.733169i | ||||
\(595\) | −8.73948 | + | 3.16274i | −0.358284 | + | 0.129660i | ||||
\(596\) | −1.46419 | − | 8.30385i | −0.0599757 | − | 0.340139i | ||||
\(597\) | −12.9680 | − | 20.5926i | −0.530746 | − | 0.842800i | ||||
\(598\) | −1.20181 | + | 6.81581i | −0.0491457 | + | 0.278719i | ||||
\(599\) | 25.9357 | − | 9.43981i | 1.05970 | − | 0.385700i | 0.247386 | − | 0.968917i | \(-0.420428\pi\) |
0.812316 | + | 0.583217i | \(0.198206\pi\) | |||||||
\(600\) | 0.778294 | + | 3.59965i | 0.0317737 | + | 0.146955i | ||||
\(601\) | 25.9677 | + | 9.45146i | 1.05924 | + | 0.385533i | 0.812144 | − | 0.583457i | \(-0.198300\pi\) |
0.247099 | + | 0.968990i | \(0.420523\pi\) | |||||||
\(602\) | −0.878671 | + | 4.93021i | −0.0358120 | + | 0.200940i | ||||
\(603\) | −13.5897 | − | 9.72901i | −0.553414 | − | 0.396196i | ||||
\(604\) | −12.3179 | −0.501208 | ||||||||
\(605\) | −8.25037 | − | 46.7902i | −0.335425 | − | 1.90229i | ||||
\(606\) | −2.74993 | + | 20.0758i | −0.111708 | + | 0.815523i | ||||
\(607\) | −6.02460 | + | 2.19278i | −0.244531 | + | 0.0890020i | −0.461378 | − | 0.887204i | \(-0.652645\pi\) |
0.216847 | + | 0.976206i | \(0.430423\pi\) | |||||||
\(608\) | 1.29184 | − | 7.32638i | 0.0523909 | − | 0.297124i | ||||
\(609\) | −4.01976 | − | 18.7584i | −0.162889 | − | 0.760130i | ||||
\(610\) | −11.0686 | + | 9.28766i | −0.448155 | + | 0.376047i | ||||
\(611\) | 1.64667 | 0.0666171 | ||||||||
\(612\) | −5.66143 | + | 2.56821i | −0.228850 | + | 0.103814i | ||||
\(613\) | −43.5017 | −1.75702 | −0.878508 | − | 0.477728i | \(-0.841461\pi\) | ||||
−0.878508 | + | 0.477728i | \(0.841461\pi\) | |||||||
\(614\) | −1.61416 | − | 9.15437i | −0.0651423 | − | 0.369440i | ||||
\(615\) | −15.1859 | − | 4.87555i | −0.612353 | − | 0.196601i | ||||
\(616\) | −12.6811 | + | 10.6010i | −0.510934 | + | 0.427128i | ||||
\(617\) | 26.4638 | − | 9.63205i | 1.06539 | − | 0.387772i | 0.250942 | − | 0.968002i | \(-0.419260\pi\) |
0.814452 | + | 0.580231i | \(0.197038\pi\) | |||||||
\(618\) | 13.6697 | + | 21.7069i | 0.549877 | + | 0.873179i | ||||
\(619\) | 22.9006 | + | 8.33513i | 0.920452 | + | 0.335017i | 0.758418 | − | 0.651768i | \(-0.225973\pi\) |
0.162034 | + | 0.986785i | \(0.448195\pi\) | |||||||
\(620\) | −2.39567 | + | 4.14943i | −0.0962126 | + | 0.166645i | ||||
\(621\) | −22.9769 | − | 15.1499i | −0.922031 | − | 0.607945i | ||||
\(622\) | 22.5254 | 0.903185 | ||||||||
\(623\) | 8.65723 | − | 14.9314i | 0.346845 | − | 0.598212i | ||||
\(624\) | −1.05553 | + | 2.00202i | −0.0422551 | + | 0.0801449i | ||||
\(625\) | −7.54362 | − | 6.32985i | −0.301745 | − | 0.253194i | ||||
\(626\) | −13.3198 | + | 4.84803i | −0.532368 | + | 0.193766i | ||||
\(627\) | 76.6442 | + | 24.6073i | 3.06087 | + | 0.982721i | ||||
\(628\) | −2.13203 | − | 12.0913i | −0.0850772 | − | 0.482497i | ||||
\(629\) | 9.69675 | + | 16.7953i | 0.386635 | + | 0.669671i | ||||
\(630\) | −7.58149 | − | 11.1160i | −0.302054 | − | 0.442871i | ||||
\(631\) | 12.4789 | − | 21.6141i | 0.496778 | − | 0.860445i | −0.503215 | − | 0.864161i | \(-0.667850\pi\) |
0.999993 | + | 0.00371657i | \(0.00118303\pi\) | |||||||
\(632\) | 6.20178 | + | 2.25726i | 0.246694 | + | 0.0897891i | ||||
\(633\) | −12.8783 | − | 9.98930i | −0.511866 | − | 0.397039i | ||||
\(634\) | −2.02979 | − | 1.70319i | −0.0806132 | − | 0.0676425i | ||||
\(635\) | 5.02189 | − | 1.82782i | 0.199288 | − | 0.0725348i | ||||
\(636\) | 1.67285 | + | 1.29758i | 0.0663327 | + | 0.0514523i | ||||
\(637\) | −1.62140 | + | 9.00189i | −0.0642424 | + | 0.356668i | ||||
\(638\) | 13.0765 | − | 22.6491i | 0.517702 | − | 0.896686i | ||||
\(639\) | 12.5288 | − | 26.1503i | 0.495630 | − | 1.03449i | ||||
\(640\) | −1.69520 | −0.0670088 | ||||||||
\(641\) | −18.2420 | + | 15.3069i | −0.720516 | + | 0.604585i | −0.927528 | − | 0.373754i | \(-0.878070\pi\) |
0.207012 | + | 0.978338i | \(0.433626\pi\) | |||||||
\(642\) | 14.8699 | + | 4.77412i | 0.586869 | + | 0.188419i | ||||
\(643\) | 14.0311 | + | 11.7735i | 0.553331 | + | 0.464300i | 0.876067 | − | 0.482189i | \(-0.160158\pi\) |
−0.322736 | + | 0.946489i | \(0.604603\pi\) | |||||||
\(644\) | −10.7515 | + | 8.98796i | −0.423668 | + | 0.354175i | ||||
\(645\) | −2.96155 | − | 4.70280i | −0.116611 | − | 0.185173i | ||||
\(646\) | 11.8095 | − | 9.90934i | 0.464638 | − | 0.389878i | ||||
\(647\) | 18.0908 | − | 31.3343i | 0.711225 | − | 1.23188i | −0.253173 | − | 0.967421i | \(-0.581474\pi\) |
0.964398 | − | 0.264456i | \(-0.0851925\pi\) | |||||||
\(648\) | −5.63959 | − | 7.01392i | −0.221544 | − | 0.275533i | ||||
\(649\) | 4.53419 | + | 7.85345i | 0.177983 | + | 0.308275i | ||||
\(650\) | 0.482459 | + | 2.73616i | 0.0189236 | + | 0.107321i | ||||
\(651\) | −1.78132 | + | 12.8292i | −0.0698156 | + | 0.502815i | ||||
\(652\) | 3.81483 | − | 1.38848i | 0.149400 | − | 0.0543773i | ||||
\(653\) | 1.93084 | − | 10.9503i | 0.0755595 | − | 0.428519i | −0.923438 | − | 0.383748i | \(-0.874633\pi\) |
0.998997 | − | 0.0447709i | \(-0.0142558\pi\) | |||||||
\(654\) | −6.78847 | − | 31.3970i | −0.265450 | − | 1.22772i | ||||
\(655\) | −28.1394 | + | 23.6118i | −1.09950 | + | 0.922589i | ||||
\(656\) | −2.71600 | + | 4.70425i | −0.106042 | + | 0.183670i | ||||
\(657\) | −15.0831 | + | 1.16075i | −0.588447 | + | 0.0452851i | ||||
\(658\) | 2.55017 | + | 2.14785i | 0.0994161 | + | 0.0837318i | ||||
\(659\) | 13.7667 | − | 11.5517i | 0.536276 | − | 0.449989i | −0.333986 | − | 0.942578i | \(-0.608394\pi\) |
0.870262 | + | 0.492589i | \(0.163949\pi\) | |||||||
\(660\) | 2.48931 | − | 18.1732i | 0.0968962 | − | 0.707389i | ||||
\(661\) | −36.2561 | − | 30.4225i | −1.41020 | − | 1.18330i | −0.956352 | − | 0.292216i | \(-0.905607\pi\) |
−0.453846 | − | 0.891080i | \(-0.649948\pi\) | |||||||
\(662\) | 12.3729 | + | 10.3821i | 0.480885 | + | 0.403510i | ||||
\(663\) | −4.34228 | + | 1.77208i | −0.168640 | + | 0.0688219i | ||||
\(664\) | 5.27770 | − | 4.42851i | 0.204814 | − | 0.171860i | ||||
\(665\) | 25.5207 | + | 21.4944i | 0.989649 | + | 0.833517i | ||||
\(666\) | −20.0595 | + | 19.6441i | −0.777288 | + | 0.761194i | ||||
\(667\) | 11.0867 | − | 19.2028i | 0.429280 | − | 0.743534i | ||||
\(668\) | 3.47271 | − | 2.91395i | 0.134363 | − | 0.112744i | ||||
\(669\) | 36.1920 | + | 11.6198i | 1.39926 | + | 0.449246i | ||||
\(670\) | 1.63995 | − | 9.30064i | 0.0633570 | − | 0.359315i | ||||
\(671\) | −50.0365 | + | 18.2118i | −1.93164 | + | 0.703059i | ||||
\(672\) | −4.24604 | + | 1.72371i | −0.163794 | + | 0.0664936i | ||||
\(673\) | 4.00665 | + | 22.7229i | 0.154445 | + | 0.875902i | 0.959291 | + | 0.282418i | \(0.0911367\pi\) |
−0.804846 | + | 0.593483i | \(0.797752\pi\) | |||||||
\(674\) | −9.88003 | − | 17.1127i | −0.380565 | − | 0.659157i | ||||
\(675\) | −10.7478 | − | 2.56028i | −0.413681 | − | 0.0985454i | ||||
\(676\) | 5.64630 | − | 9.77967i | 0.217165 | − | 0.376141i | ||||
\(677\) | 1.23585 | − | 1.03700i | 0.0474977 | − | 0.0398553i | −0.618730 | − | 0.785604i | \(-0.712352\pi\) |
0.666227 | + | 0.745749i | \(0.267908\pi\) | |||||||
\(678\) | −35.9388 | + | 1.38083i | −1.38022 | + | 0.0530305i | ||||
\(679\) | −19.2094 | + | 16.0586i | −0.737190 | + | 0.616272i | ||||
\(680\) | −2.69101 | − | 2.25802i | −0.103195 | − | 0.0865913i | ||||
\(681\) | 4.17024 | + | 19.2876i | 0.159804 | + | 0.739102i | ||||
\(682\) | −13.5261 | + | 11.3498i | −0.517943 | + | 0.434606i | ||||
\(683\) | −2.97731 | −0.113924 | −0.0569619 | − | 0.998376i | \(-0.518141\pi\) | ||||
−0.0569619 | + | 0.998376i | \(0.518141\pi\) | |||||||
\(684\) | 18.1471 | + | 12.9917i | 0.693871 | + | 0.496751i | ||||
\(685\) | −15.7761 | + | 27.3250i | −0.602774 | + | 1.04404i | ||||
\(686\) | −14.2527 | + | 11.8262i | −0.544172 | + | 0.451527i | ||||
\(687\) | −33.3848 | + | 13.6243i | −1.27371 | + | 0.519799i | ||||
\(688\) | −1.77866 | + | 0.647378i | −0.0678107 | + | 0.0246811i | ||||
\(689\) | 1.22350 | + | 1.02664i | 0.0466117 | + | 0.0391118i | ||||
\(690\) | 2.11053 | − | 15.4079i | 0.0803465 | − | 0.586568i | ||||
\(691\) | −25.3368 | − | 9.22183i | −0.963856 | − | 0.350815i | −0.188313 | − | 0.982109i | \(-0.560302\pi\) |
−0.775543 | + | 0.631294i | \(0.782524\pi\) | |||||||
\(692\) | 5.86939 | − | 10.1661i | 0.223121 | − | 0.386456i | ||||
\(693\) | −12.2437 | − | 48.0501i | −0.465099 | − | 1.82527i | ||||
\(694\) | 1.14902 | + | 1.99015i | 0.0436160 | + | 0.0755452i | ||||
\(695\) | 2.31291 | + | 13.1172i | 0.0877336 | + | 0.497562i | ||||
\(696\) | 5.37153 | − | 4.87066i | 0.203607 | − | 0.184622i | ||||
\(697\) | −10.5776 | + | 3.84992i | −0.400653 | + | 0.145826i | ||||
\(698\) | −8.74689 | − | 7.33952i | −0.331075 | − | 0.277805i | ||||
\(699\) | 5.13596 | − | 0.197333i | 0.194260 | − | 0.00746381i | ||||
\(700\) | −2.82176 | + | 4.86675i | −0.106652 | + | 0.183946i | ||||
\(701\) | 12.4466 | 0.470101 | 0.235050 | − | 0.971983i | \(-0.424475\pi\) | ||||
0.235050 | + | 0.971983i | \(0.424475\pi\) | |||||||
\(702\) | −4.04828 | − | 5.45082i | −0.152793 | − | 0.205728i | ||||
\(703\) | 34.8117 | − | 60.2956i | 1.31295 | − | 2.27409i | ||||
\(704\) | −5.87043 | − | 2.13666i | −0.221250 | − | 0.0805285i | ||||
\(705\) | −3.69743 | + | 0.142062i | −0.139253 | + | 0.00535035i | ||||
\(706\) | 8.03755 | − | 2.92543i | 0.302497 | − | 0.110100i | ||||
\(707\) | −23.7476 | + | 19.8524i | −0.893120 | + | 0.746625i | ||||
\(708\) | 0.531334 | + | 2.45745i | 0.0199688 | + | 0.0923567i | ||||
\(709\) | 3.60082 | + | 20.4213i | 0.135232 | + | 0.766936i | 0.974698 | + | 0.223525i | \(0.0717564\pi\) |
−0.839467 | + | 0.543411i | \(0.817132\pi\) | |||||||
\(710\) | 16.3851 | 0.614922 | ||||||||
\(711\) | −14.1460 | + | 13.8531i | −0.530515 | + | 0.519531i | ||||
\(712\) | 6.52351 | 0.244479 | ||||||||
\(713\) | −11.4680 | + | 9.62278i | −0.429479 | + | 0.360376i | ||||
\(714\) | −9.03626 | − | 2.91949i | −0.338174 | − | 0.109259i | ||||
\(715\) | 2.40295 | − | 13.6278i | 0.0898653 | − | 0.509652i | ||||
\(716\) | −2.68497 | + | 0.977249i | −0.100342 | + | 0.0365215i | ||||
\(717\) | −0.0637719 | + | 0.0260252i | −0.00238160 | + | 0.000971930i | ||||
\(718\) | −1.55582 | − | 8.82348i | −0.0580626 | − | 0.329289i | ||||
\(719\) | 18.6950 | 0.697205 | 0.348603 | − | 0.937271i | \(-0.386656\pi\) | ||||
0.348603 | + | 0.937271i | \(0.386656\pi\) | |||||||
\(720\) | 2.19737 | − | 4.58639i | 0.0818911 | − | 0.170925i | ||||
\(721\) | −6.87526 | + | 38.5770i | −0.256048 | + | 1.43668i | ||||
\(722\) | −34.1528 | − | 12.4306i | −1.27104 | − | 0.462619i | ||||
\(723\) | 31.2366 | + | 10.0288i | 1.16170 | + | 0.372975i | ||||
\(724\) | 10.1452 | − | 3.69256i | 0.377044 | − | 0.137233i | ||||
\(725\) | 1.54571 | − | 8.76615i | 0.0574062 | − | 0.325567i | ||||
\(726\) | 22.6404 | − | 42.9418i | 0.840262 | − | 1.59372i | ||||
\(727\) | 4.18619 | + | 23.7411i | 0.155257 | + | 0.880507i | 0.958550 | + | 0.284923i | \(0.0919681\pi\) |
−0.803293 | + | 0.595584i | \(0.796921\pi\) | |||||||
\(728\) | −3.25082 | + | 1.17644i | −0.120483 | + | 0.0436019i | ||||
\(729\) | 26.2864 | − | 6.16636i | 0.973571 | − | 0.228384i | ||||
\(730\) | −4.27408 | − | 7.40292i | −0.158191 | − | 0.273995i | ||||
\(731\) | −3.68580 | − | 1.34152i | −0.136324 | − | 0.0496179i | ||||
\(732\) | −14.7522 | + | 0.566806i | −0.545258 | + | 0.0209498i | ||||
\(733\) | 9.85742 | + | 8.27136i | 0.364092 | + | 0.305510i | 0.806419 | − | 0.591344i | \(-0.201403\pi\) |
−0.442327 | + | 0.896854i | \(0.645847\pi\) | |||||||
\(734\) | 7.36427 | + | 6.17936i | 0.271820 | + | 0.228084i | ||||
\(735\) | 2.86409 | − | 20.3527i | 0.105643 | − | 0.750721i | ||||
\(736\) | −4.97718 | − | 1.81154i | −0.183461 | − | 0.0667744i | ||||
\(737\) | 17.4018 | − | 30.1408i | 0.641003 | − | 1.11025i | ||||
\(738\) | −9.20686 | − | 13.4460i | −0.338909 | − | 0.494953i | ||||
\(739\) | −11.8507 | − | 20.5261i | −0.435936 | − | 0.755063i | 0.561435 | − | 0.827521i | \(-0.310249\pi\) |
−0.997372 | + | 0.0724571i | \(0.976916\pi\) | |||||||
\(740\) | −14.9082 | − | 5.42613i | −0.548036 | − | 0.199469i | ||||
\(741\) | 13.3040 | + | 10.3195i | 0.488734 | + | 0.379096i | ||||
\(742\) | 0.555714 | + | 3.18582i | 0.0204009 | + | 0.116955i | ||||
\(743\) | −5.30199 | + | 30.0691i | −0.194511 | + | 1.10313i | 0.718602 | + | 0.695421i | \(0.244782\pi\) |
−0.913113 | + | 0.407706i | \(0.866329\pi\) | |||||||
\(744\) | −4.53258 | + | 1.84974i | −0.166173 | + | 0.0678148i | ||||
\(745\) | 2.48210 | + | 14.0767i | 0.0909373 | + | 0.515731i | ||||
\(746\) | −0.772745 | − | 1.33843i | −0.0282922 | − | 0.0490036i | ||||
\(747\) | 5.14030 | + | 20.0192i | 0.188074 | + | 0.732465i | ||||
\(748\) | −6.47282 | − | 11.2113i | −0.236670 | − | 0.409924i | ||||
\(749\) | 11.8901 | + | 20.6819i | 0.434455 | + | 0.755700i | ||||
\(750\) | −4.42188 | − | 20.4515i | −0.161464 | − | 0.746782i | ||||
\(751\) | 3.36612 | − | 19.0902i | 0.122831 | − | 0.696611i | −0.859741 | − | 0.510730i | \(-0.829375\pi\) |
0.982572 | − | 0.185881i | \(-0.0595138\pi\) | |||||||
\(752\) | −0.218830 | + | 1.24105i | −0.00797993 | + | 0.0452564i | ||||
\(753\) | 18.0416 | + | 28.6493i | 0.657473 | + | 1.04404i | ||||
\(754\) | 4.19043 | − | 3.51619i | 0.152607 | − | 0.128052i | ||||
\(755\) | 20.8813 | 0.759950 | ||||||||
\(756\) | 0.840309 | − | 13.7220i | 0.0305617 | − | 0.499065i | ||||
\(757\) | −21.3375 | −0.775525 | −0.387763 | − | 0.921759i | \(-0.626752\pi\) | ||||
−0.387763 | + | 0.921759i | \(0.626752\pi\) | |||||||
\(758\) | −8.61457 | + | 7.22848i | −0.312895 | + | 0.262550i | ||||
\(759\) | 26.7290 | − | 50.6968i | 0.970203 | − | 1.84018i | ||||
\(760\) | −2.18993 | + | 12.4197i | −0.0794371 | + | 0.450510i | ||||
\(761\) | 1.09521 | − | 6.21124i | 0.0397013 | − | 0.225157i | −0.958501 | − | 0.285088i | \(-0.907977\pi\) |
0.998203 | + | 0.0599312i | \(0.0190881\pi\) | |||||||
\(762\) | 5.19897 | + | 1.66917i | 0.188339 | + | 0.0604678i | ||||
\(763\) | 24.6120 | − | 42.4490i | 0.891015 | − | 1.53676i | ||||
\(764\) | 10.0073 | + | 17.3332i | 0.362053 | + | 0.627094i | ||||
\(765\) | 9.59727 | − | 4.35365i | 0.346990 | − | 0.157406i | ||||
\(766\) | −11.6445 | − | 20.1689i | −0.420734 | − | 0.728733i | ||||
\(767\) | 0.329370 | + | 1.86795i | 0.0118929 | + | 0.0674479i | ||||
\(768\) | −1.36859 | − | 1.06158i | −0.0493849 | − | 0.0383064i | ||||
\(769\) | 3.06136 | − | 17.3618i | 0.110396 | − | 0.626084i |