Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 133.3 | ||
Character | \(\chi\) | \(=\) | 177.133 |
Dual form | 177.4.e.b.4.3 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{28}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.97824 | + | 0.432660i | −1.40652 | + | 0.152968i | −0.779680 | − | 0.626178i | \(-0.784618\pi\) |
−0.626842 | + | 0.779147i | \(0.715653\pi\) | |||||||
\(3\) | 1.94216 | + | 2.28649i | 0.373769 | + | 0.440034i | ||||
\(4\) | 7.82627 | − | 1.72269i | 0.978283 | − | 0.215336i | ||||
\(5\) | 6.73681 | − | 5.12119i | 0.602559 | − | 0.458053i | −0.258884 | − | 0.965909i | \(-0.583355\pi\) |
0.861442 | + | 0.507855i | \(0.169561\pi\) | |||||||
\(6\) | −8.71565 | − | 8.25591i | −0.593025 | − | 0.561743i | ||||
\(7\) | −6.58976 | − | 16.5390i | −0.355814 | − | 0.893025i | −0.992538 | − | 0.121934i | \(-0.961091\pi\) |
0.636725 | − | 0.771091i | \(-0.280289\pi\) | |||||||
\(8\) | −0.0516573 | + | 0.0174054i | −0.00228295 | + | 0.000769216i | ||||
\(9\) | −1.45604 | + | 8.88144i | −0.0539273 | + | 0.328942i | ||||
\(10\) | −24.5850 | + | 23.2881i | −0.777444 | + | 0.736435i | ||||
\(11\) | −42.8086 | − | 19.8054i | −1.17339 | − | 0.542868i | −0.266335 | − | 0.963880i | \(-0.585813\pi\) |
−0.907055 | + | 0.421012i | \(0.861675\pi\) | |||||||
\(12\) | 19.1388 | + | 14.5489i | 0.460407 | + | 0.349992i | ||||
\(13\) | 6.69383 | + | 40.8306i | 0.142810 | + | 0.871104i | 0.956911 | + | 0.290381i | \(0.0937820\pi\) |
−0.814101 | + | 0.580724i | \(0.802770\pi\) | |||||||
\(14\) | 33.3715 | + | 62.9453i | 0.637064 | + | 1.20163i | ||||
\(15\) | 24.7935 | + | 5.45746i | 0.426777 | + | 0.0939407i | ||||
\(16\) | −57.9858 | + | 26.8271i | −0.906027 | + | 0.419173i | ||||
\(17\) | 20.0414 | − | 50.3002i | 0.285927 | − | 0.717623i | −0.713921 | − | 0.700226i | \(-0.753083\pi\) |
0.999849 | − | 0.0173975i | \(-0.00553807\pi\) | |||||||
\(18\) | 1.94983 | − | 35.9625i | 0.0255322 | − | 0.470913i | ||||
\(19\) | −45.9031 | + | 67.7020i | −0.554258 | + | 0.817469i | −0.996855 | − | 0.0792516i | \(-0.974747\pi\) |
0.442597 | + | 0.896721i | \(0.354057\pi\) | |||||||
\(20\) | 43.9019 | − | 51.6853i | 0.490838 | − | 0.577859i | ||||
\(21\) | 25.0179 | − | 47.1889i | 0.259970 | − | 0.490355i | ||||
\(22\) | 178.872 | + | 60.2691i | 1.73344 | + | 0.584064i | ||||
\(23\) | −1.84786 | − | 34.0818i | −0.0167524 | − | 0.308981i | −0.994886 | − | 0.101003i | \(-0.967795\pi\) |
0.978134 | − | 0.207977i | \(-0.0666880\pi\) | |||||||
\(24\) | −0.140124 | − | 0.0843097i | −0.00119178 | − | 0.000717069i | ||||
\(25\) | −14.2830 | + | 51.4427i | −0.114264 | + | 0.411542i | ||||
\(26\) | −44.2954 | − | 159.538i | −0.334117 | − | 1.20338i | ||||
\(27\) | −23.1351 | + | 13.9200i | −0.164902 | + | 0.0992184i | ||||
\(28\) | −80.0649 | − | 118.087i | −0.540387 | − | 0.797012i | ||||
\(29\) | −242.890 | − | 26.4158i | −1.55529 | − | 0.169148i | −0.710289 | − | 0.703910i | \(-0.751436\pi\) |
−0.845003 | + | 0.534762i | \(0.820401\pi\) | |||||||
\(30\) | −100.996 | − | 10.9840i | −0.614641 | − | 0.0668462i | ||||
\(31\) | −121.895 | − | 179.782i | −0.706225 | − | 1.04160i | −0.996412 | − | 0.0846338i | \(-0.973028\pi\) |
0.290187 | − | 0.956970i | \(-0.406282\pi\) | |||||||
\(32\) | 219.448 | − | 132.038i | 1.21229 | − | 0.729411i | ||||
\(33\) | −37.8564 | − | 136.347i | −0.199696 | − | 0.719239i | ||||
\(34\) | −57.9668 | + | 208.778i | −0.292389 | + | 1.05309i | ||||
\(35\) | −129.094 | − | 77.6731i | −0.623452 | − | 0.375118i | ||||
\(36\) | 3.90464 | + | 72.0168i | 0.0180770 | + | 0.333411i | ||||
\(37\) | 9.02428 | + | 3.04063i | 0.0400968 | + | 0.0135102i | 0.339278 | − | 0.940686i | \(-0.389817\pi\) |
−0.299182 | + | 0.954196i | \(0.596714\pi\) | |||||||
\(38\) | 153.322 | − | 289.196i | 0.654529 | − | 1.23457i | ||||
\(39\) | −80.3580 | + | 94.6048i | −0.329938 | + | 0.388433i | ||||
\(40\) | −0.258869 | + | 0.381804i | −0.00102327 | + | 0.00150921i | ||||
\(41\) | 25.0649 | − | 462.296i | 0.0954753 | − | 1.76094i | −0.423264 | − | 0.906006i | \(-0.639116\pi\) |
0.518740 | − | 0.854932i | \(-0.326401\pi\) | |||||||
\(42\) | −79.1108 | + | 198.553i | −0.290644 | + | 0.729462i | ||||
\(43\) | −371.586 | + | 171.914i | −1.31782 | + | 0.609690i | −0.947661 | − | 0.319277i | \(-0.896560\pi\) |
−0.370162 | + | 0.928967i | \(0.620698\pi\) | |||||||
\(44\) | −369.151 | − | 81.2562i | −1.26481 | − | 0.278405i | ||||
\(45\) | 35.6745 | + | 67.2892i | 0.118179 | + | 0.222909i | ||||
\(46\) | 22.0971 | + | 134.786i | 0.0708270 | + | 0.432025i | ||||
\(47\) | −492.476 | − | 374.371i | −1.52840 | − | 1.16186i | −0.933774 | − | 0.357864i | \(-0.883505\pi\) |
−0.594631 | − | 0.803999i | \(-0.702702\pi\) | |||||||
\(48\) | −173.957 | − | 80.4812i | −0.523095 | − | 0.242010i | ||||
\(49\) | 18.9012 | − | 17.9042i | 0.0551056 | − | 0.0521988i | ||||
\(50\) | 34.5640 | − | 210.831i | 0.0977619 | − | 0.596321i | ||||
\(51\) | 153.934 | − | 51.8665i | 0.422650 | − | 0.142407i | ||||
\(52\) | 122.726 | + | 308.019i | 0.327290 | + | 0.821435i | ||||
\(53\) | 218.573 | + | 207.043i | 0.566478 | + | 0.536596i | 0.916442 | − | 0.400167i | \(-0.131048\pi\) |
−0.349965 | + | 0.936763i | \(0.613806\pi\) | |||||||
\(54\) | 86.0146 | − | 65.3866i | 0.216761 | − | 0.164778i | ||||
\(55\) | −389.821 | + | 85.8061i | −0.955699 | + | 0.210365i | ||||
\(56\) | 0.628278 | + | 0.739666i | 0.00149923 | + | 0.00176504i | ||||
\(57\) | −243.951 | + | 26.5313i | −0.566879 | + | 0.0616518i | ||||
\(58\) | 977.704 | 2.21343 | ||||||||
\(59\) | 434.204 | + | 129.793i | 0.958110 | + | 0.286400i | ||||
\(60\) | 203.442 | 0.437738 | ||||||||
\(61\) | 368.866 | − | 40.1166i | 0.774238 | − | 0.0842034i | 0.287534 | − | 0.957770i | \(-0.407165\pi\) |
0.486704 | + | 0.873567i | \(0.338199\pi\) | |||||||
\(62\) | 562.712 | + | 662.476i | 1.15265 | + | 1.35701i | ||||
\(63\) | 156.485 | − | 34.4451i | 0.312942 | − | 0.0688837i | ||||
\(64\) | −408.987 | + | 310.903i | −0.798802 | + | 0.607233i | ||||
\(65\) | 254.196 | + | 240.787i | 0.485064 | + | 0.459477i | ||||
\(66\) | 209.594 | + | 526.041i | 0.390897 | + | 0.981078i | ||||
\(67\) | −409.936 | + | 138.124i | −0.747488 | + | 0.251858i | −0.667164 | − | 0.744911i | \(-0.732492\pi\) |
−0.0803238 | + | 0.996769i | \(0.525595\pi\) | |||||||
\(68\) | 70.1979 | − | 428.188i | 0.125187 | − | 0.763610i | ||||
\(69\) | 74.3388 | − | 70.4175i | 0.129701 | − | 0.122859i | ||||
\(70\) | 547.172 | + | 253.149i | 0.934280 | + | 0.432244i | ||||
\(71\) | 413.310 | + | 314.190i | 0.690857 | + | 0.525176i | 0.890665 | − | 0.454659i | \(-0.150239\pi\) |
−0.199809 | + | 0.979835i | \(0.564032\pi\) | |||||||
\(72\) | −0.0793698 | − | 0.484134i | −0.000129914 | − | 0.000792441i | ||||
\(73\) | −274.696 | − | 518.132i | −0.440421 | − | 0.830723i | −0.999998 | − | 0.00194435i | \(-0.999381\pi\) |
0.559577 | − | 0.828779i | \(-0.310964\pi\) | |||||||
\(74\) | −37.2164 | − | 8.19194i | −0.0584637 | − | 0.0128688i | ||||
\(75\) | −145.363 | + | 67.2520i | −0.223801 | + | 0.103541i | ||||
\(76\) | −242.620 | + | 608.931i | −0.366190 | + | 0.919068i | ||||
\(77\) | −45.4636 | + | 838.527i | −0.0672865 | + | 1.24103i | ||||
\(78\) | 278.752 | − | 411.129i | 0.404647 | − | 0.596810i | ||||
\(79\) | 101.420 | − | 119.401i | 0.144439 | − | 0.170046i | −0.685186 | − | 0.728369i | \(-0.740279\pi\) |
0.829624 | + | 0.558322i | \(0.188555\pi\) | |||||||
\(80\) | −253.253 | + | 477.685i | −0.353931 | + | 0.667585i | ||||
\(81\) | −76.7599 | − | 25.8634i | −0.105295 | − | 0.0354779i | ||||
\(82\) | 100.302 | + | 1849.97i | 0.135080 | + | 2.49140i | ||||
\(83\) | −59.2780 | − | 35.6664i | −0.0783928 | − | 0.0471674i | 0.475818 | − | 0.879544i | \(-0.342152\pi\) |
−0.554211 | + | 0.832376i | \(0.686980\pi\) | |||||||
\(84\) | 114.505 | − | 412.411i | 0.148733 | − | 0.535687i | ||||
\(85\) | −122.582 | − | 441.499i | −0.156422 | − | 0.563380i | ||||
\(86\) | 1403.88 | − | 844.687i | 1.76028 | − | 1.05913i | ||||
\(87\) | −411.331 | − | 606.668i | −0.506888 | − | 0.747605i | ||||
\(88\) | 2.55610 | + | 0.277993i | 0.00309638 | + | 0.000336751i | ||||
\(89\) | −690.584 | − | 75.1056i | −0.822492 | − | 0.0894514i | −0.312812 | − | 0.949815i | \(-0.601271\pi\) |
−0.509680 | + | 0.860364i | \(0.670236\pi\) | |||||||
\(90\) | −171.035 | − | 252.258i | −0.200319 | − | 0.295448i | ||||
\(91\) | 631.188 | − | 379.773i | 0.727104 | − | 0.437484i | ||||
\(92\) | −73.1744 | − | 263.550i | −0.0829234 | − | 0.298663i | ||||
\(93\) | 174.329 | − | 627.875i | 0.194377 | − | 0.700082i | ||||
\(94\) | 2121.17 | + | 1276.26i | 2.32746 | + | 1.40039i | ||||
\(95\) | 37.4744 | + | 691.175i | 0.0404715 | + | 0.746453i | ||||
\(96\) | 728.105 | + | 245.327i | 0.774083 | + | 0.260819i | ||||
\(97\) | −100.832 | + | 190.189i | −0.105545 | + | 0.199080i | −0.930660 | − | 0.365886i | \(-0.880766\pi\) |
0.825114 | + | 0.564966i | \(0.191111\pi\) | |||||||
\(98\) | −67.4472 | + | 79.4050i | −0.0695225 | + | 0.0818482i | ||||
\(99\) | 238.231 | − | 351.365i | 0.241850 | − | 0.356702i | ||||
\(100\) | −23.1626 | + | 427.210i | −0.0231626 | + | 0.427210i | ||||
\(101\) | −102.378 | + | 256.951i | −0.100862 | + | 0.253144i | −0.970745 | − | 0.240115i | \(-0.922815\pi\) |
0.869883 | + | 0.493258i | \(0.164194\pi\) | |||||||
\(102\) | −589.948 | + | 272.939i | −0.572682 | + | 0.264951i | ||||
\(103\) | 234.331 | + | 51.5802i | 0.224168 | + | 0.0493432i | 0.325634 | − | 0.945496i | \(-0.394422\pi\) |
−0.101466 | + | 0.994839i | \(0.532353\pi\) | |||||||
\(104\) | −1.05646 | − | 1.99269i | −0.000996097 | − | 0.00187884i | ||||
\(105\) | −73.1220 | − | 446.024i | −0.0679616 | − | 0.414548i | ||||
\(106\) | −959.116 | − | 729.101i | −0.878846 | − | 0.668081i | ||||
\(107\) | −804.614 | − | 372.254i | −0.726962 | − | 0.336329i | 0.0212623 | − | 0.999774i | \(-0.493231\pi\) |
−0.748225 | + | 0.663445i | \(0.769094\pi\) | |||||||
\(108\) | −157.082 | + | 148.796i | −0.139956 | + | 0.132573i | ||||
\(109\) | −7.72861 | + | 47.1424i | −0.00679143 | + | 0.0414259i | −0.990005 | − | 0.141033i | \(-0.954958\pi\) |
0.983213 | + | 0.182459i | \(0.0584058\pi\) | |||||||
\(110\) | 1513.68 | − | 510.018i | 1.31203 | − | 0.442075i | ||||
\(111\) | 10.5742 | + | 26.5393i | 0.00904199 | + | 0.0226937i | ||||
\(112\) | 825.806 | + | 782.245i | 0.696709 | + | 0.659957i | ||||
\(113\) | −1037.40 | + | 788.613i | −0.863634 | + | 0.656517i | −0.940228 | − | 0.340545i | \(-0.889388\pi\) |
0.0765944 | + | 0.997062i | \(0.475595\pi\) | |||||||
\(114\) | 959.017 | − | 211.096i | 0.787897 | − | 0.173429i | ||||
\(115\) | −186.988 | − | 220.140i | −0.151624 | − | 0.178506i | ||||
\(116\) | −1946.43 | + | 211.687i | −1.55794 | + | 0.169436i | ||||
\(117\) | −372.381 | −0.294244 | ||||||||
\(118\) | −1783.52 | − | 328.486i | −1.39141 | − | 0.256268i | ||||
\(119\) | −963.986 | −0.742592 | ||||||||
\(120\) | −1.37575 | + | 0.149622i | −0.00104657 | + | 0.000113822i | ||||
\(121\) | 578.656 | + | 681.246i | 0.434753 | + | 0.511830i | ||||
\(122\) | −1450.08 | + | 319.187i | −1.07610 | + | 0.236868i | ||||
\(123\) | 1105.71 | − | 840.541i | 0.810559 | − | 0.616171i | ||||
\(124\) | −1263.69 | − | 1197.03i | −0.915183 | − | 0.866908i | ||||
\(125\) | 558.756 | + | 1402.37i | 0.399813 | + | 1.00346i | ||||
\(126\) | −607.635 | + | 204.736i | −0.429622 | + | 0.144757i | ||||
\(127\) | 301.937 | − | 1841.73i | 0.210965 | − | 1.28683i | −0.642745 | − | 0.766080i | \(-0.722205\pi\) |
0.853710 | − | 0.520749i | \(-0.174347\pi\) | |||||||
\(128\) | 5.06554 | − | 4.79833i | 0.00349793 | − | 0.00331341i | ||||
\(129\) | −1114.76 | − | 515.742i | −0.760845 | − | 0.352005i | ||||
\(130\) | −1115.43 | − | 847.931i | −0.752539 | − | 0.572065i | ||||
\(131\) | −308.515 | − | 1881.86i | −0.205764 | − | 1.25511i | −0.864462 | − | 0.502698i | \(-0.832341\pi\) |
0.658698 | − | 0.752407i | \(-0.271108\pi\) | |||||||
\(132\) | −531.158 | − | 1001.87i | −0.350238 | − | 0.660618i | ||||
\(133\) | 1422.22 | + | 313.054i | 0.927233 | + | 0.204099i | ||||
\(134\) | 1571.07 | − | 726.853i | 1.01283 | − | 0.468586i | ||||
\(135\) | −84.5704 | + | 212.256i | −0.0539160 | + | 0.135319i | ||||
\(136\) | −0.159793 | + | 2.94720i | −0.000100751 | + | 0.00185824i | ||||
\(137\) | 187.999 | − | 277.278i | 0.117240 | − | 0.172916i | −0.764541 | − | 0.644575i | \(-0.777034\pi\) |
0.881781 | + | 0.471659i | \(0.156345\pi\) | |||||||
\(138\) | −265.271 | + | 312.301i | −0.163633 | + | 0.192644i | ||||
\(139\) | −665.109 | + | 1254.53i | −0.405855 | + | 0.765523i | −0.999223 | − | 0.0394078i | \(-0.987453\pi\) |
0.593369 | + | 0.804931i | \(0.297798\pi\) | |||||||
\(140\) | −1144.13 | − | 385.502i | −0.690689 | − | 0.232720i | ||||
\(141\) | −100.474 | − | 1853.13i | −0.0600100 | − | 1.10682i | ||||
\(142\) | −1780.18 | − | 1071.10i | −1.05204 | − | 0.632992i | ||||
\(143\) | 522.111 | − | 1880.47i | 0.305323 | − | 1.09967i | ||||
\(144\) | −153.833 | − | 554.058i | −0.0890240 | − | 0.320636i | ||||
\(145\) | −1771.58 | + | 1065.93i | −1.01463 | + | 0.610485i | ||||
\(146\) | 1316.98 | + | 1942.41i | 0.746537 | + | 1.10106i | ||||
\(147\) | 77.6468 | + | 8.44460i | 0.0435660 | + | 0.00473809i | ||||
\(148\) | 75.8645 | + | 8.25076i | 0.0421353 | + | 0.00458249i | ||||
\(149\) | 1942.68 | + | 2865.25i | 1.06813 | + | 1.57537i | 0.788271 | + | 0.615328i | \(0.210976\pi\) |
0.279856 | + | 0.960042i | \(0.409713\pi\) | |||||||
\(150\) | 549.192 | − | 330.438i | 0.298942 | − | 0.179868i | ||||
\(151\) | 151.501 | + | 545.658i | 0.0816489 | + | 0.294073i | 0.993090 | − | 0.117359i | \(-0.0374427\pi\) |
−0.911441 | + | 0.411432i | \(0.865029\pi\) | |||||||
\(152\) | 1.19285 | − | 4.29627i | 0.000636534 | − | 0.00229259i | ||||
\(153\) | 417.557 | + | 251.236i | 0.220637 | + | 0.132753i | ||||
\(154\) | −181.932 | − | 3355.54i | −0.0951980 | − | 1.75582i | ||||
\(155\) | −1741.88 | − | 586.907i | −0.902652 | − | 0.304139i | ||||
\(156\) | −465.928 | + | 878.834i | −0.239129 | + | 0.451045i | ||||
\(157\) | −1352.43 | + | 1592.20i | −0.687487 | + | 0.809372i | −0.989592 | − | 0.143902i | \(-0.954035\pi\) |
0.302105 | + | 0.953275i | \(0.402311\pi\) | |||||||
\(158\) | −351.814 | + | 518.886i | −0.177144 | + | 0.261268i | ||||
\(159\) | −48.8983 | + | 901.875i | −0.0243892 | + | 0.449833i | ||||
\(160\) | 802.191 | − | 2013.35i | 0.396368 | − | 0.994807i | ||||
\(161\) | −551.504 | + | 255.153i | −0.269967 | + | 0.124900i | ||||
\(162\) | 316.560 | + | 69.6801i | 0.153526 | + | 0.0337937i | ||||
\(163\) | −848.033 | − | 1599.56i | −0.407503 | − | 0.768633i | 0.591795 | − | 0.806089i | \(-0.298420\pi\) |
−0.999298 | + | 0.0374558i | \(0.988075\pi\) | |||||||
\(164\) | −600.228 | − | 3661.23i | −0.285792 | − | 1.74326i | ||||
\(165\) | −953.289 | − | 724.671i | −0.449778 | − | 0.341913i | ||||
\(166\) | 251.254 | + | 116.242i | 0.117476 | + | 0.0543504i | ||||
\(167\) | 1878.21 | − | 1779.13i | 0.870300 | − | 0.824392i | −0.115327 | − | 0.993328i | \(-0.536792\pi\) |
0.985627 | + | 0.168936i | \(0.0540331\pi\) | |||||||
\(168\) | −0.471020 | + | 2.87310i | −0.000216310 | + | 0.00131943i | ||||
\(169\) | 459.667 | − | 154.880i | 0.209225 | − | 0.0704961i | ||||
\(170\) | 678.679 | + | 1703.36i | 0.306190 | + | 0.768479i | ||||
\(171\) | −534.455 | − | 506.263i | −0.239010 | − | 0.226403i | ||||
\(172\) | −2611.98 | + | 1985.58i | −1.15792 | + | 0.880225i | ||||
\(173\) | −3194.42 | + | 703.144i | −1.40386 | + | 0.309012i | −0.851394 | − | 0.524527i | \(-0.824242\pi\) |
−0.552461 | + | 0.833539i | \(0.686311\pi\) | |||||||
\(174\) | 1898.86 | + | 2235.51i | 0.827310 | + | 0.973984i | ||||
\(175\) | 944.935 | − | 102.768i | 0.408174 | − | 0.0443916i | ||||
\(176\) | 3013.61 | 1.29068 | ||||||||
\(177\) | 546.522 | + | 1244.88i | 0.232086 | + | 0.528649i | ||||
\(178\) | 2779.81 | 1.17054 | ||||||||
\(179\) | 2150.79 | − | 233.912i | 0.898086 | − | 0.0976728i | 0.352582 | − | 0.935781i | \(-0.385304\pi\) |
0.545504 | + | 0.838108i | \(0.316338\pi\) | |||||||
\(180\) | 395.117 | + | 465.167i | 0.163613 | + | 0.192620i | ||||
\(181\) | 3121.70 | − | 687.139i | 1.28196 | − | 0.282180i | 0.478788 | − | 0.877930i | \(-0.341076\pi\) |
0.803170 | + | 0.595750i | \(0.203145\pi\) | |||||||
\(182\) | −2346.71 | + | 1783.92i | −0.955766 | + | 0.726555i | ||||
\(183\) | 808.123 | + | 765.495i | 0.326438 | + | 0.309219i | ||||
\(184\) | 0.688663 | + | 1.72841i | 0.000275918 | + | 0.000692502i | ||||
\(185\) | 76.3666 | − | 25.7309i | 0.0303491 | − | 0.0102258i | ||||
\(186\) | −421.866 | + | 2573.27i | −0.166305 | + | 1.01441i | ||||
\(187\) | −1854.16 | + | 1756.36i | −0.725079 | + | 0.686831i | ||||
\(188\) | −4499.17 | − | 2081.54i | −1.74540 | − | 0.807510i | ||||
\(189\) | 382.678 | + | 290.904i | 0.147279 | + | 0.111959i | ||||
\(190\) | −448.126 | − | 2733.45i | −0.171108 | − | 1.04371i | ||||
\(191\) | 742.368 | + | 1400.25i | 0.281235 | + | 0.530465i | 0.983378 | − | 0.181571i | \(-0.0581181\pi\) |
−0.702143 | + | 0.712036i | \(0.747773\pi\) | |||||||
\(192\) | −1505.19 | − | 331.318i | −0.565771 | − | 0.124536i | ||||
\(193\) | 4841.79 | − | 2240.05i | 1.80580 | − | 0.835453i | 0.860341 | − | 0.509719i | \(-0.170251\pi\) |
0.945461 | − | 0.325734i | \(-0.105611\pi\) | |||||||
\(194\) | 318.846 | − | 800.243i | 0.117999 | − | 0.296155i | ||||
\(195\) | −56.8677 | + | 1048.86i | −0.0208840 | + | 0.385183i | ||||
\(196\) | 117.083 | − | 172.684i | 0.0426686 | − | 0.0629315i | ||||
\(197\) | −308.740 | + | 363.477i | −0.111659 | + | 0.131455i | −0.815152 | − | 0.579247i | \(-0.803347\pi\) |
0.703493 | + | 0.710702i | \(0.251623\pi\) | |||||||
\(198\) | −795.721 | + | 1500.89i | −0.285603 | + | 0.538705i | ||||
\(199\) | 2545.97 | + | 857.836i | 0.906929 | + | 0.305580i | 0.733837 | − | 0.679326i | \(-0.237728\pi\) |
0.173092 | + | 0.984906i | \(0.444624\pi\) | |||||||
\(200\) | −0.157558 | − | 2.90599i | −5.57053e−5 | − | 0.00102742i | ||||
\(201\) | −1111.98 | − | 669.056i | −0.390214 | − | 0.234784i | ||||
\(202\) | 296.114 | − | 1066.51i | 0.103141 | − | 0.371481i | ||||
\(203\) | 1163.69 | + | 4191.24i | 0.402341 | + | 1.44910i | ||||
\(204\) | 1115.38 | − | 671.103i | 0.382806 | − | 0.230327i | ||||
\(205\) | −2198.65 | − | 3242.76i | −0.749074 | − | 1.10480i | ||||
\(206\) | −954.543 | − | 103.813i | −0.322846 | − | 0.0351116i | ||||
\(207\) | 305.386 | + | 33.2128i | 0.102540 | + | 0.0111519i | ||||
\(208\) | −1483.51 | − | 2188.01i | −0.494533 | − | 0.729382i | ||||
\(209\) | 3305.92 | − | 1989.10i | 1.09414 | − | 0.658321i | ||||
\(210\) | 483.874 | + | 1742.76i | 0.159002 | + | 0.572674i | ||||
\(211\) | −832.179 | + | 2997.24i | −0.271515 | + | 0.977907i | 0.694516 | + | 0.719478i | \(0.255619\pi\) |
−0.966030 | + | 0.258429i | \(0.916795\pi\) | |||||||
\(212\) | 2067.28 | + | 1243.84i | 0.669725 | + | 0.402960i | ||||
\(213\) | 84.3223 | + | 1555.23i | 0.0271252 | + | 0.500295i | ||||
\(214\) | 3362.01 | + | 1132.79i | 1.07394 | + | 0.361851i | ||||
\(215\) | −1622.90 | + | 3061.12i | −0.514796 | + | 0.971007i | ||||
\(216\) | 0.952817 | − | 1.12174i | 0.000300144 | − | 0.000353356i | ||||
\(217\) | −2170.16 | + | 3200.74i | −0.678893 | + | 1.00129i | ||||
\(218\) | 10.3496 | − | 190.888i | 0.00321544 | − | 0.0593053i | ||||
\(219\) | 651.198 | − | 1634.38i | 0.200931 | − | 0.504299i | ||||
\(220\) | −2903.03 | + | 1343.08i | −0.889646 | + | 0.411594i | ||||
\(221\) | 2187.94 | + | 481.602i | 0.665958 | + | 0.146588i | ||||
\(222\) | −53.5493 | − | 101.005i | −0.0161892 | − | 0.0305360i | ||||
\(223\) | 394.863 | + | 2408.55i | 0.118574 | + | 0.723268i | 0.977463 | + | 0.211107i | \(0.0677067\pi\) |
−0.858889 | + | 0.512161i | \(0.828845\pi\) | |||||||
\(224\) | −3629.89 | − | 2759.37i | −1.08273 | − | 0.823072i | ||||
\(225\) | −436.089 | − | 201.756i | −0.129211 | − | 0.0597796i | ||||
\(226\) | 3785.84 | − | 3586.14i | 1.11429 | − | 1.05551i | ||||
\(227\) | 259.101 | − | 1580.45i | 0.0757584 | − | 0.462106i | −0.921517 | − | 0.388338i | \(-0.873049\pi\) |
0.997275 | − | 0.0737678i | \(-0.0235024\pi\) | |||||||
\(228\) | −1863.52 | + | 627.893i | −0.541292 | + | 0.182383i | ||||
\(229\) | 120.545 | + | 302.545i | 0.0347853 | + | 0.0873046i | 0.945343 | − | 0.326077i | \(-0.105727\pi\) |
−0.910558 | + | 0.413382i | \(0.864348\pi\) | |||||||
\(230\) | 839.131 | + | 794.867i | 0.240568 | + | 0.227878i | ||||
\(231\) | −2005.58 | + | 1524.60i | −0.571244 | + | 0.434248i | ||||
\(232\) | 13.0068 | − | 2.86301i | 0.00368077 | − | 0.000810199i | ||||
\(233\) | 512.955 | + | 603.898i | 0.144227 | + | 0.169797i | 0.829532 | − | 0.558459i | \(-0.188607\pi\) |
−0.685305 | + | 0.728256i | \(0.740331\pi\) | |||||||
\(234\) | 1481.42 | − | 161.114i | 0.413861 | − | 0.0450101i | ||||
\(235\) | −5234.94 | −1.45315 | ||||||||
\(236\) | 3621.79 | + | 267.796i | 0.998976 | + | 0.0738646i | ||||
\(237\) | 469.982 | 0.128813 | ||||||||
\(238\) | 3834.97 | − | 417.078i | 1.04447 | − | 0.113593i | ||||
\(239\) | −2953.42 | − | 3477.04i | −0.799335 | − | 0.941050i | 0.199913 | − | 0.979814i | \(-0.435934\pi\) |
−0.999248 | + | 0.0387635i | \(0.987658\pi\) | |||||||
\(240\) | −1584.08 | + | 348.682i | −0.426049 | + | 0.0937805i | ||||
\(241\) | 2425.10 | − | 1843.51i | 0.648193 | − | 0.492744i | −0.228657 | − | 0.973507i | \(-0.573433\pi\) |
0.876850 | + | 0.480763i | \(0.159640\pi\) | |||||||
\(242\) | −2596.78 | − | 2459.80i | −0.689783 | − | 0.653397i | ||||
\(243\) | −89.9436 | − | 225.741i | −0.0237444 | − | 0.0595939i | ||||
\(244\) | 2817.74 | − | 949.406i | 0.739292 | − | 0.249096i | ||||
\(245\) | 35.6432 | − | 217.414i | 0.00929453 | − | 0.0566942i | ||||
\(246\) | −4035.13 | + | 3822.28i | −1.04581 | + | 0.990648i | ||||
\(247\) | −3071.58 | − | 1421.06i | −0.791255 | − | 0.366073i | ||||
\(248\) | 9.42593 | + | 7.16540i | 0.00241350 | + | 0.00183469i | ||||
\(249\) | −33.5766 | − | 204.808i | −0.00854550 | − | 0.0521253i | ||||
\(250\) | −2829.62 | − | 5337.22i | −0.715843 | − | 1.35022i | ||||
\(251\) | 2368.87 | + | 521.428i | 0.595705 | + | 0.131125i | 0.502581 | − | 0.864530i | \(-0.332384\pi\) |
0.0931236 | + | 0.995655i | \(0.470315\pi\) | |||||||
\(252\) | 1165.36 | − | 539.153i | 0.291312 | − | 0.134775i | ||||
\(253\) | −595.900 | + | 1495.60i | −0.148079 | + | 0.371649i | ||||
\(254\) | −404.334 | + | 7457.50i | −0.0998825 | + | 1.84222i | ||||
\(255\) | 771.409 | − | 1137.74i | 0.189441 | − | 0.279405i | ||||
\(256\) | 2642.64 | − | 3111.16i | 0.645176 | − | 0.759560i | ||||
\(257\) | −400.584 | + | 755.582i | −0.0972287 | + | 0.183393i | −0.927355 | − | 0.374183i | \(-0.877923\pi\) |
0.830126 | + | 0.557575i | \(0.188268\pi\) | |||||||
\(258\) | 4657.93 | + | 1569.44i | 1.12399 | + | 0.378717i | ||||
\(259\) | −9.17864 | − | 169.290i | −0.00220206 | − | 0.0406146i | ||||
\(260\) | 2404.21 | + | 1446.57i | 0.573472 | + | 0.345047i | ||||
\(261\) | 588.267 | − | 2118.75i | 0.139513 | − | 0.502480i | ||||
\(262\) | 2041.55 | + | 7353.01i | 0.481403 | + | 1.73386i | ||||
\(263\) | 3101.25 | − | 1865.96i | 0.727115 | − | 0.437491i | −0.103289 | − | 0.994651i | \(-0.532937\pi\) |
0.830405 | + | 0.557161i | \(0.188109\pi\) | |||||||
\(264\) | 4.32873 | + | 6.38439i | 0.00100915 | + | 0.00148838i | ||||
\(265\) | 2532.79 | + | 275.458i | 0.587126 | + | 0.0638538i | ||||
\(266\) | −5793.38 | − | 630.068i | −1.33539 | − | 0.145233i | ||||
\(267\) | −1169.50 | − | 1724.88i | −0.268060 | − | 0.395359i | ||||
\(268\) | −2970.33 | + | 1787.19i | −0.677021 | + | 0.407350i | ||||
\(269\) | −1769.78 | − | 6374.18i | −0.401136 | − | 1.44476i | −0.838216 | − | 0.545339i | \(-0.816401\pi\) |
0.437080 | − | 0.899423i | \(-0.356013\pi\) | |||||||
\(270\) | 244.607 | − | 880.995i | 0.0551345 | − | 0.198576i | ||||
\(271\) | −3964.41 | − | 2385.30i | −0.888637 | − | 0.534675i | −0.00349356 | − | 0.999994i | \(-0.501112\pi\) |
−0.885143 | + | 0.465319i | \(0.845940\pi\) | |||||||
\(272\) | 187.289 | + | 3454.35i | 0.0417503 | + | 0.770039i | ||||
\(273\) | 2094.21 | + | 705.623i | 0.464277 | + | 0.156433i | ||||
\(274\) | −627.940 | + | 1184.42i | −0.138450 | + | 0.261144i | ||||
\(275\) | 1630.28 | − | 1919.31i | 0.357489 | − | 0.420869i | ||||
\(276\) | 460.488 | − | 679.169i | 0.100428 | − | 0.148120i | ||||
\(277\) | −341.180 | + | 6292.70i | −0.0740055 | + | 1.36495i | 0.691898 | + | 0.721996i | \(0.256775\pi\) |
−0.765903 | + | 0.642956i | \(0.777708\pi\) | |||||||
\(278\) | 2103.18 | − | 5278.59i | 0.453743 | − | 1.13881i | ||||
\(279\) | 1774.20 | − | 820.833i | 0.380712 | − | 0.176136i | ||||
\(280\) | 8.02056 | + | 1.76546i | 0.00171186 | + | 0.000376808i | ||||
\(281\) | −2947.82 | − | 5560.18i | −0.625809 | − | 1.18040i | −0.970367 | − | 0.241635i | \(-0.922316\pi\) |
0.344558 | − | 0.938765i | \(-0.388029\pi\) | |||||||
\(282\) | 1201.48 | + | 7328.72i | 0.253714 | + | 1.54758i | ||||
\(283\) | −2604.36 | − | 1979.78i | −0.547043 | − | 0.415852i | 0.294812 | − | 0.955555i | \(-0.404743\pi\) |
−0.841855 | + | 0.539704i | \(0.818536\pi\) | |||||||
\(284\) | 3775.92 | + | 1746.93i | 0.788943 | + | 0.365004i | ||||
\(285\) | −1507.58 | + | 1428.06i | −0.313338 | + | 0.296810i | ||||
\(286\) | −1263.48 | + | 7706.88i | −0.261228 | + | 1.59342i | ||||
\(287\) | −7811.11 | + | 2631.87i | −1.60653 | + | 0.541304i | ||||
\(288\) | 853.159 | + | 2141.27i | 0.174559 | + | 0.438109i | ||||
\(289\) | 1438.36 | + | 1362.49i | 0.292767 | + | 0.277323i | ||||
\(290\) | 6586.61 | − | 5007.01i | 1.33372 | − | 1.01387i | ||||
\(291\) | −630.695 | + | 138.826i | −0.127051 | + | 0.0279661i | ||||
\(292\) | −3042.43 | − | 3581.82i | −0.609742 | − | 0.717844i | ||||
\(293\) | 3954.08 | − | 430.032i | 0.788395 | − | 0.0857431i | 0.294942 | − | 0.955515i | \(-0.404700\pi\) |
0.493454 | + | 0.869772i | \(0.335734\pi\) | |||||||
\(294\) | −312.552 | −0.0620013 | ||||||||
\(295\) | 3589.84 | − | 1349.25i | 0.708504 | − | 0.266293i | ||||
\(296\) | −0.519094 | −0.000101931 | ||||||||
\(297\) | 1266.07 | − | 137.694i | 0.247357 | − | 0.0269017i | ||||
\(298\) | −8968.15 | − | 10558.1i | −1.74333 | − | 2.05240i | ||||
\(299\) | 1379.21 | − | 303.587i | 0.266762 | − | 0.0587188i | ||||
\(300\) | −1021.79 | + | 776.748i | −0.196644 | + | 0.149485i | ||||
\(301\) | 5291.96 | + | 5012.81i | 1.01337 | + | 0.959913i | ||||
\(302\) | −838.793 | − | 2105.21i | −0.159825 | − | 0.401130i | ||||
\(303\) | −786.349 | + | 264.952i | −0.149091 | + | 0.0502346i | ||||
\(304\) | 845.480 | − | 5157.20i | 0.159512 | − | 0.972979i | ||||
\(305\) | 2279.54 | − | 2159.29i | 0.427954 | − | 0.405380i | ||||
\(306\) | −1769.84 | − | 818.817i | −0.330638 | − | 0.152970i | ||||
\(307\) | −5506.73 | − | 4186.11i | −1.02373 | − | 0.778220i | −0.0483692 | − | 0.998830i | \(-0.515402\pi\) |
−0.975362 | + | 0.220609i | \(0.929196\pi\) | |||||||
\(308\) | 1088.71 | + | 6640.86i | 0.201413 | + | 1.22856i | ||||
\(309\) | 337.171 | + | 635.972i | 0.0620744 | + | 0.117085i | ||||
\(310\) | 7183.55 | + | 1581.22i | 1.31612 | + | 0.289701i | ||||
\(311\) | −3678.11 | + | 1701.68i | −0.670632 | + | 0.310267i | −0.725496 | − | 0.688226i | \(-0.758390\pi\) |
0.0548640 | + | 0.998494i | \(0.482527\pi\) | |||||||
\(312\) | 2.50445 | − | 6.28569i | 0.000454444 | − | 0.00114057i | ||||
\(313\) | −35.7340 | + | 659.075i | −0.00645305 | + | 0.119020i | 0.993532 | + | 0.113552i | \(0.0362230\pi\) |
−0.999985 | + | 0.00546712i | \(0.998260\pi\) | |||||||
\(314\) | 4691.41 | − | 6919.31i | 0.843157 | − | 1.24356i | ||||
\(315\) | 877.814 | − | 1033.44i | 0.157013 | − | 0.184850i | ||||
\(316\) | 588.050 | − | 1109.18i | 0.104685 | − | 0.197456i | ||||
\(317\) | −1999.25 | − | 673.626i | −0.354224 | − | 0.119352i | 0.136563 | − | 0.990631i | \(-0.456394\pi\) |
−0.490788 | + | 0.871279i | \(0.663291\pi\) | |||||||
\(318\) | −195.676 | − | 3609.04i | −0.0345062 | − | 0.636430i | ||||
\(319\) | 9874.60 | + | 5941.35i | 1.73314 | + | 1.04280i | ||||
\(320\) | −1163.07 | + | 4189.00i | −0.203180 | + | 0.731788i | ||||
\(321\) | −711.535 | − | 2562.72i | −0.123720 | − | 0.445598i | ||||
\(322\) | 2083.62 | − | 1253.68i | 0.360608 | − | 0.216971i | ||||
\(323\) | 2485.46 | + | 3665.78i | 0.428157 | + | 0.631485i | ||||
\(324\) | −645.298 | − | 70.1804i | −0.110648 | − | 0.0120337i | ||||
\(325\) | −2196.04 | − | 238.834i | −0.374814 | − | 0.0407635i | ||||
\(326\) | 4065.75 | + | 5996.53i | 0.690739 | + | 1.01876i | ||||
\(327\) | −122.801 | + | 73.8867i | −0.0207673 | + | 0.0124952i | ||||
\(328\) | 6.75164 | + | 24.3172i | 0.00113658 | + | 0.00409358i | ||||
\(329\) | −2946.43 | + | 10612.1i | −0.493745 | + | 1.77831i | ||||
\(330\) | 4105.95 | + | 2470.47i | 0.684925 | + | 0.412106i | ||||
\(331\) | 146.584 | + | 2703.58i | 0.0243414 | + | 0.448950i | 0.985145 | + | 0.171722i | \(0.0549330\pi\) |
−0.960804 | + | 0.277228i | \(0.910584\pi\) | |||||||
\(332\) | −525.368 | − | 177.017i | −0.0868473 | − | 0.0292623i | ||||
\(333\) | −40.1449 | + | 75.7213i | −0.00660639 | + | 0.0124610i | ||||
\(334\) | −6702.21 | + | 7890.45i | −1.09799 | + | 1.29265i | ||||
\(335\) | −2054.31 | + | 3029.88i | −0.335041 | + | 0.494149i | ||||
\(336\) | −184.746 | + | 3407.44i | −0.0299962 | + | 0.553247i | ||||
\(337\) | 2771.00 | − | 6954.68i | 0.447910 | − | 1.12417i | −0.515679 | − | 0.856782i | \(-0.672460\pi\) |
0.963589 | − | 0.267388i | \(-0.0861605\pi\) | |||||||
\(338\) | −1761.66 | + | 815.030i | −0.283496 | + | 0.131159i | ||||
\(339\) | −3817.95 | − | 840.395i | −0.611690 | − | 0.134643i | ||||
\(340\) | −1719.92 | − | 3244.12i | −0.274341 | − | 0.517462i | ||||
\(341\) | 1657.51 | + | 10110.4i | 0.263224 | + | 1.60559i | ||||
\(342\) | 2345.23 | + | 1782.80i | 0.370806 | + | 0.281879i | ||||
\(343\) | −5962.88 | − | 2758.72i | −0.938674 | − | 0.434277i | ||||
\(344\) | 16.2029 | − | 15.3482i | 0.00253954 | − | 0.00240558i | ||||
\(345\) | 140.185 | − | 855.093i | 0.0218763 | − | 0.133440i | ||||
\(346\) | 12403.9 | − | 4179.38i | 1.92728 | − | 0.649378i | ||||
\(347\) | 196.292 | + | 492.656i | 0.0303675 | + | 0.0762166i | 0.943378 | − | 0.331718i | \(-0.107628\pi\) |
−0.913011 | + | 0.407935i | \(0.866249\pi\) | |||||||
\(348\) | −4264.29 | − | 4039.35i | −0.656867 | − | 0.622218i | ||||
\(349\) | 5591.98 | − | 4250.91i | 0.857684 | − | 0.651995i | −0.0810221 | − | 0.996712i | \(-0.525818\pi\) |
0.938706 | + | 0.344718i | \(0.112025\pi\) | |||||||
\(350\) | −3714.72 | + | 817.672i | −0.567315 | + | 0.124875i | ||||
\(351\) | −723.222 | − | 851.443i | −0.109979 | − | 0.129478i | ||||
\(352\) | −12009.3 | + | 1306.09i | −1.81846 | + | 0.197770i | ||||
\(353\) | 12897.6 | 1.94468 | 0.972340 | − | 0.233569i | \(-0.0750404\pi\) | ||||
0.972340 | + | 0.233569i | \(0.0750404\pi\) | |||||||
\(354\) | −2712.81 | − | 4715.98i | −0.407300 | − | 0.708054i | ||||
\(355\) | 4393.42 | 0.656840 | ||||||||
\(356\) | −5534.08 | + | 601.868i | −0.823892 | + | 0.0896037i | ||||
\(357\) | −1872.21 | − | 2204.14i | −0.277558 | − | 0.326766i | ||||
\(358\) | −8455.15 | + | 1861.12i | −1.24824 | + | 0.274758i | ||||
\(359\) | 3192.39 | − | 2426.79i | 0.469325 | − | 0.356772i | −0.343623 | − | 0.939108i | \(-0.611654\pi\) |
0.812948 | + | 0.582336i | \(0.197861\pi\) | |||||||
\(360\) | −3.01404 | − | 2.85505i | −0.000441261 | − | 0.000417985i | ||||
\(361\) | 62.3080 | + | 156.381i | 0.00908413 | + | 0.0227994i | ||||
\(362\) | −12121.6 | + | 4084.24i | −1.75994 | + | 0.592992i | ||||
\(363\) | −433.819 | + | 2646.18i | −0.0627261 | + | 0.382612i | ||||
\(364\) | 4285.61 | − | 4059.55i | 0.617108 | − | 0.584555i | ||||
\(365\) | −4504.03 | − | 2083.79i | −0.645895 | − | 0.298823i | ||||
\(366\) | −3546.11 | − | 2695.68i | −0.506443 | − | 0.384988i | ||||
\(367\) | 1807.62 | + | 11026.0i | 0.257104 | + | 1.56827i | 0.727687 | + | 0.685910i | \(0.240595\pi\) |
−0.470583 | + | 0.882356i | \(0.655956\pi\) | |||||||
\(368\) | 1021.47 | + | 1926.69i | 0.144694 | + | 0.272923i | ||||
\(369\) | 4069.36 | + | 895.733i | 0.574098 | + | 0.126369i | ||||
\(370\) | −292.672 | + | 135.405i | −0.0411224 | + | 0.0190253i | ||||
\(371\) | 1983.96 | − | 4979.36i | 0.277633 | − | 0.696807i | ||||
\(372\) | 282.708 | − | 5214.23i | 0.0394024 | − | 0.726735i | ||||
\(373\) | −3865.32 | + | 5700.92i | −0.536565 | + | 0.791374i | −0.995263 | − | 0.0972183i | \(-0.969005\pi\) |
0.458698 | + | 0.888592i | \(0.348316\pi\) | |||||||
\(374\) | 6616.41 | − | 7789.44i | 0.914776 | − | 1.07696i | ||||
\(375\) | −2121.31 | + | 4001.21i | −0.292117 | + | 0.550992i | ||||
\(376\) | 31.9561 | + | 10.7672i | 0.00438300 | + | 0.00147680i | ||||
\(377\) | −547.289 | − | 10094.1i | −0.0747660 | − | 1.37898i | ||||
\(378\) | −1648.25 | − | 991.718i | −0.224277 | − | 0.134943i | ||||
\(379\) | 2668.08 | − | 9609.56i | 0.361610 | − | 1.30240i | −0.529383 | − | 0.848383i | \(-0.677576\pi\) |
0.890993 | − | 0.454018i | \(-0.150010\pi\) | |||||||
\(380\) | 1483.97 | + | 5344.76i | 0.200331 | + | 0.721528i | ||||
\(381\) | 4797.50 | − | 2886.56i | 0.645101 | − | 0.388145i | ||||
\(382\) | −3559.16 | − | 5249.36i | −0.476707 | − | 0.703091i | ||||
\(383\) | −11418.3 | − | 1241.82i | −1.52337 | − | 0.165676i | −0.692203 | − | 0.721703i | \(-0.743360\pi\) |
−0.831164 | + | 0.556027i | \(0.812325\pi\) | |||||||
\(384\) | 20.8094 | + | 2.26316i | 0.00276543 | + | 0.000300759i | ||||
\(385\) | 3987.98 | + | 5881.83i | 0.527912 | + | 0.778612i | ||||
\(386\) | −18292.7 | + | 11006.3i | −2.41210 | + | 1.45131i | ||||
\(387\) | −985.801 | − | 3550.54i | −0.129486 | − | 0.466367i | ||||
\(388\) | −461.499 | + | 1662.17i | −0.0603842 | + | 0.217484i | ||||
\(389\) | 4330.88 | + | 2605.81i | 0.564484 | + | 0.339639i | 0.769025 | − | 0.639219i | \(-0.220742\pi\) |
−0.204540 | + | 0.978858i | \(0.565570\pi\) | |||||||
\(390\) | −227.568 | − | 4197.24i | −0.0295470 | − | 0.544963i | ||||
\(391\) | −1751.36 | − | 590.101i | −0.226522 | − | 0.0763240i | ||||
\(392\) | −0.664757 | + | 1.25387i | −8.56513e−5 | + | 0.000161555i | ||||
\(393\) | 3703.66 | − | 4360.29i | 0.475382 | − | 0.559662i | ||||
\(394\) | 1070.98 | − | 1579.58i | 0.136942 | − | 0.201975i | ||||
\(395\) | 71.7729 | − | 1323.77i | 0.00914250 | − | 0.168623i | ||||
\(396\) | 1259.17 | − | 3160.28i | 0.159787 | − | 0.401035i | ||||
\(397\) | −4980.41 | + | 2304.18i | −0.629621 | + | 0.291294i | −0.708630 | − | 0.705580i | \(-0.750687\pi\) |
0.0790089 | + | 0.996874i | \(0.474824\pi\) | |||||||
\(398\) | −10499.6 | − | 2311.14i | −1.32236 | − | 0.291073i | ||||
\(399\) | 2046.38 | + | 3859.88i | 0.256760 | + | 0.484300i | ||||
\(400\) | −551.847 | − | 3366.12i | −0.0689808 | − | 0.420764i | ||||
\(401\) | −7536.58 | − | 5729.16i | −0.938551 | − | 0.713468i | 0.0195770 | − | 0.999808i | \(-0.493768\pi\) |
−0.958128 | + | 0.286340i | \(0.907561\pi\) | |||||||
\(402\) | 4713.20 | + | 2180.56i | 0.584759 | + | 0.270538i | ||||
\(403\) | 6524.64 | − | 6180.46i | 0.806489 | − | 0.763947i | ||||
\(404\) | −358.595 | + | 2187.33i | −0.0441603 | + | 0.269366i | ||||
\(405\) | −649.569 | + | 218.865i | −0.0796971 | + | 0.0268531i | ||||
\(406\) | −6442.83 | − | 16170.3i | −0.787567 | − | 1.97665i | ||||
\(407\) | −326.096 | − | 308.895i | −0.0397150 | − | 0.0376200i | ||||
\(408\) | −7.04908 | + | 5.35857i | −0.000855347 | + | 0.000650218i | ||||
\(409\) | 13133.3 | − | 2890.86i | 1.58778 | − | 0.349497i | 0.668688 | − | 0.743543i | \(-0.266856\pi\) |
0.919091 | + | 0.394046i | \(0.128925\pi\) | |||||||
\(410\) | 10149.8 | + | 11949.2i | 1.22259 | + | 1.43934i | ||||
\(411\) | 999.117 | − | 108.660i | 0.119909 | − | 0.0130409i | ||||
\(412\) | 1922.80 | 0.229926 | ||||||||
\(413\) | −714.644 | − | 8036.62i | −0.0851461 | − | 0.957521i | ||||
\(414\) | −1229.27 | −0.145931 | ||||||||
\(415\) | −581.999 | + | 63.2962i | −0.0688415 | + | 0.00748696i | ||||
\(416\) | 6860.12 | + | 8076.35i | 0.808521 | + | 0.951865i | ||||
\(417\) | −4160.21 | + | 915.731i | −0.488552 | + | 0.107538i | ||||
\(418\) | −12291.1 | + | 9343.48i | −1.43823 | + | 1.09331i | ||||
\(419\) | −8773.28 | − | 8310.49i | −1.02292 | − | 0.968959i | −0.0233914 | − | 0.999726i | \(-0.507446\pi\) |
−0.999527 | + | 0.0307670i | \(0.990205\pi\) | |||||||
\(420\) | −1340.63 | − | 3364.74i | −0.155753 | − | 0.390911i | ||||
\(421\) | −9780.52 | + | 3295.44i | −1.13224 | + | 0.381497i | −0.822184 | − | 0.569221i | \(-0.807245\pi\) |
−0.310057 | + | 0.950718i | \(0.600348\pi\) | |||||||
\(422\) | 2013.83 | − | 12283.8i | 0.232302 | − | 1.41698i | ||||
\(423\) | 4042.01 | − | 3828.80i | 0.464608 | − | 0.440101i | ||||
\(424\) | −14.8946 | − | 6.89096i | −0.00170600 | − | 0.000789280i | ||||
\(425\) | 2301.33 | + | 1749.42i | 0.262661 | + | 0.199670i | ||||
\(426\) | −1008.34 | − | 6150.62i | −0.114682 | − | 0.699527i | ||||
\(427\) | −3094.23 | − | 5836.34i | −0.350680 | − | 0.661453i | ||||
\(428\) | −6938.40 | − | 1527.26i | −0.783599 | − | 0.172483i | ||||
\(429\) | 5313.70 | − | 2458.38i | 0.598014 | − | 0.276671i | ||||
\(430\) | 5131.88 | − | 12880.0i | 0.575538 | − | 1.44449i | ||||
\(431\) | −597.593 | + | 11022.0i | −0.0667867 | + | 1.23181i | 0.752566 | + | 0.658517i | \(0.228816\pi\) |
−0.819352 | + | 0.573290i | \(0.805667\pi\) | |||||||
\(432\) | 968.077 | − | 1427.81i | 0.107816 | − | 0.159017i | ||||
\(433\) | 1023.73 | − | 1205.23i | 0.113620 | − | 0.133764i | −0.702412 | − | 0.711771i | \(-0.747894\pi\) |
0.816032 | + | 0.578007i | \(0.196169\pi\) | |||||||
\(434\) | 7248.58 | − | 13672.3i | 0.801712 | − | 1.51219i | ||||
\(435\) | −5877.92 | − | 1980.50i | −0.647873 | − | 0.218294i | ||||
\(436\) | 20.7257 | + | 382.263i | 0.00227656 | + | 0.0419887i | ||||
\(437\) | 2392.23 | + | 1439.36i | 0.261867 | + | 0.157560i | ||||
\(438\) | −1883.49 | + | 6783.73i | −0.205472 | + | 0.740043i | ||||
\(439\) | −1573.10 | − | 5665.78i | −0.171024 | − | 0.615975i | −0.998514 | − | 0.0544935i | \(-0.982646\pi\) |
0.827490 | − | 0.561481i | \(-0.189768\pi\) | |||||||
\(440\) | 18.6436 | − | 11.2175i | 0.00202000 | − | 0.00121539i | ||||
\(441\) | 131.494 | + | 193.939i | 0.0141987 | + | 0.0209415i | ||||
\(442\) | −8912.53 | − | 969.296i | −0.959108 | − | 0.104309i | ||||
\(443\) | 551.634 | + | 59.9938i | 0.0591623 | + | 0.00643429i | 0.137652 | − | 0.990481i | \(-0.456044\pi\) |
−0.0784900 | + | 0.996915i | \(0.525010\pi\) | |||||||
\(444\) | 128.476 | + | 189.487i | 0.0137324 | + | 0.0202538i | ||||
\(445\) | −5036.97 | + | 3030.64i | −0.536573 | + | 0.322845i | ||||
\(446\) | −2612.95 | − | 9410.98i | −0.277414 | − | 0.999154i | ||||
\(447\) | −2778.34 | + | 10006.7i | −0.293985 | + | 1.05884i | ||||
\(448\) | 7837.17 | + | 4715.47i | 0.826499 | + | 0.497288i | ||||
\(449\) | 676.426 | + | 12475.9i | 0.0710969 | + | 1.31130i | 0.788668 | + | 0.614819i | \(0.210771\pi\) |
−0.717571 | + | 0.696485i | \(0.754746\pi\) | |||||||
\(450\) | 1822.16 | + | 613.957i | 0.190883 | + | 0.0643160i | ||||
\(451\) | −10228.9 | + | 19293.8i | −1.06799 | + | 2.01444i | ||||
\(452\) | −6760.45 | + | 7959.02i | −0.703507 | + | 0.828232i | ||||
\(453\) | −953.400 | + | 1406.16i | −0.0988844 | + | 0.145844i | ||||
\(454\) | −346.971 | + | 6399.51i | −0.0358682 | + | 0.661550i | ||||
\(455\) | 2307.30 | − | 5790.89i | 0.237732 | − | 0.596662i | ||||
\(456\) | 12.1401 | − | 5.61659i | 0.00124673 | − | 0.000576800i | ||||
\(457\) | 13671.3 | + | 3009.28i | 1.39938 | + | 0.308027i | 0.849664 | − | 0.527325i | \(-0.176805\pi\) |
0.549716 | + | 0.835352i | \(0.314736\pi\) | |||||||
\(458\) | −610.457 | − | 1151.44i | −0.0622812 | − | 0.117475i | ||||
\(459\) | 236.515 | + | 1442.68i | 0.0240514 | + | 0.146707i | ||||
\(460\) | −1842.65 | − | 1400.75i | −0.186770 | − | 0.141979i | ||||
\(461\) | −6290.77 | − | 2910.42i | −0.635554 | − | 0.294039i | 0.0755323 | − | 0.997143i | \(-0.475934\pi\) |
−0.711086 | + | 0.703105i | \(0.751796\pi\) | |||||||
\(462\) | 7319.05 | − | 6932.97i | 0.737041 | − | 0.698162i | ||||
\(463\) | −2486.89 | + | 15169.4i | −0.249623 | + | 1.52264i | 0.503059 | + | 0.864252i | \(0.332208\pi\) |
−0.752683 | + | 0.658383i | \(0.771241\pi\) | |||||||
\(464\) | 14792.8 | − | 4984.27i | 1.48004 | − | 0.498684i | ||||
\(465\) | −2041.05 | − | 5122.65i | −0.203551 | − | 0.510876i | ||||
\(466\) | −2301.94 | − | 2180.52i | −0.228832 | − | 0.216761i | ||||
\(467\) | −839.930 | + | 638.498i | −0.0832276 | + | 0.0632680i | −0.645961 | − | 0.763371i | \(-0.723543\pi\) |
0.562733 | + | 0.826639i | \(0.309750\pi\) | |||||||
\(468\) | −2914.35 | + | 641.497i | −0.287854 | + | 0.0633615i | ||||
\(469\) | 4985.81 | + | 5869.75i | 0.490882 | + | 0.577911i | ||||
\(470\) | 20825.9 | − | 2264.95i | 2.04389 | − | 0.222286i | ||||
\(471\) | −6267.17 | −0.613113 | ||||||||
\(472\) | −24.6889 | + | 0.852717i | −0.00240762 | + | 8.31557e-5i | ||||
\(473\) | 19311.9 | 1.87730 | ||||||||
\(474\) | −1869.70 | + | 203.343i | −0.181178 | + | 0.0197043i | ||||
\(475\) | −2827.14 | − | 3328.37i | −0.273091 | − | 0.321507i | ||||
\(476\) | −7544.41 | + | 1660.65i | −0.726466 | + | 0.159907i | ||||
\(477\) | −2157.09 | + | 1639.78i | −0.207058 | + | 0.157401i | ||||
\(478\) | 13253.8 | + | 12554.7i | 1.26823 | + | 1.20133i | ||||
\(479\) | −1265.76 | − | 3176.81i | −0.120739 | − | 0.303032i | 0.856168 | − | 0.516698i | \(-0.172839\pi\) |
−0.976907 | + | 0.213666i | \(0.931460\pi\) | |||||||
\(480\) | 6161.48 | − | 2076.04i | 0.585899 | − | 0.197412i | ||||
\(481\) | −63.7438 | + | 388.820i | −0.00604255 | + | 0.0368579i | ||||
\(482\) | −8850.03 | + | 8383.20i | −0.836324 | + | 0.792208i | ||||
\(483\) | −1654.51 | − | 765.459i | −0.155865 | − | 0.0721110i | ||||
\(484\) | 5702.29 | + | 4334.77i | 0.535527 | + | 0.407097i | ||||
\(485\) | 294.709 | + | 1797.64i | 0.0275918 | + | 0.168303i | ||||
\(486\) | 455.487 | + | 859.139i | 0.0425130 | + | 0.0801880i | ||||
\(487\) | 11023.4 | + | 2426.43i | 1.02570 | + | 0.225774i | 0.695795 | − | 0.718240i | \(-0.255052\pi\) |
0.329906 | + | 0.944014i | \(0.392983\pi\) | |||||||
\(488\) | −18.3564 | + | 8.49258i | −0.00170278 | + | 0.000787789i | ||||
\(489\) | 2010.36 | − | 5045.61i | 0.185913 | − | 0.466606i | ||||
\(490\) | −47.7310 | + | 880.347i | −0.00440055 | + | 0.0811633i | ||||
\(491\) | 2920.24 | − | 4307.03i | 0.268408 | − | 0.395873i | −0.669469 | − | 0.742840i | \(-0.733478\pi\) |
0.937877 | + | 0.346967i | \(0.112789\pi\) | |||||||
\(492\) | 7205.61 | − | 8483.10i | 0.660273 | − | 0.777333i | ||||
\(493\) | −6196.58 | + | 11688.0i | −0.566085 | + | 1.06775i | ||||
\(494\) | 12834.3 | + | 4324.39i | 1.16891 | + | 0.393853i | ||||
\(495\) | −194.487 | − | 3587.11i | −0.0176597 | − | 0.325714i | ||||
\(496\) | 11891.2 | + | 7154.68i | 1.07647 | + | 0.647691i | ||||
\(497\) | 2472.79 | − | 8906.18i | 0.223179 | − | 0.803817i | ||||
\(498\) | 222.188 | + | 800.249i | 0.0199930 | + | 0.0720081i | ||||
\(499\) | −2663.84 | + | 1602.78i | −0.238978 | + | 0.143788i | −0.630005 | − | 0.776591i | \(-0.716947\pi\) |
0.391028 | + | 0.920379i | \(0.372120\pi\) | |||||||
\(500\) | 6788.82 | + | 10012.8i | 0.607211 | + | 0.895569i | ||||
\(501\) | 7715.74 | + | 839.137i | 0.688052 | + | 0.0748301i | ||||
\(502\) | −9649.55 | − | 1049.45i | −0.857930 | − | 0.0933055i | ||||
\(503\) | −5568.83 | − | 8213.40i | −0.493642 | − | 0.728067i | 0.496515 | − | 0.868028i | \(-0.334613\pi\) |
−0.990157 | + | 0.139961i | \(0.955302\pi\) | |||||||
\(504\) | −7.48409 | + | 4.50303i | −0.000661444 | + | 0.000397978i | ||||
\(505\) | 626.189 | + | 2255.33i | 0.0551783 | + | 0.198734i | ||||
\(506\) | 1723.55 | − | 6207.66i | 0.151425 | − | 0.545384i | ||||
\(507\) | 1246.88 | + | 750.221i | 0.109222 | + | 0.0657170i | ||||
\(508\) | −809.700 | − | 14934.0i | −0.0707177 | − | 1.30431i | ||||
\(509\) | −11391.5 | − | 3838.23i | −0.991980 | − | 0.334237i | −0.223915 | − | 0.974609i | \(-0.571884\pi\) |
−0.768065 | + | 0.640372i | \(0.778780\pi\) | |||||||
\(510\) | −2576.60 | + | 4859.98i | −0.223713 | + | 0.421968i | ||||
\(511\) | −6759.23 | + | 7957.58i | −0.585148 | + | 0.688890i | ||||
\(512\) | −9198.32 | + | 13566.5i | −0.793969 | + | 1.17102i | ||||
\(513\) | 119.566 | − | 2205.27i | 0.0102904 | − | 0.189795i | ||||
\(514\) | 1266.71 | − | 3179.21i | 0.108701 | − | 0.272819i | ||||
\(515\) | 1842.80 | − | 852.569i | 0.157676 | − | 0.0729489i | ||||
\(516\) | −9612.87 | − | 2115.95i | −0.820122 | − | 0.180523i | ||||
\(517\) | 13667.7 | + | 25780.0i | 1.16268 | + | 2.19304i | ||||
\(518\) | 109.760 | + | 669.506i | 0.00930999 | + | 0.0567884i | ||||
\(519\) | −7811.79 | − | 5938.37i | −0.660693 | − | 0.502246i | ||||
\(520\) | −17.3221 | − | 8.01405i | −0.00146082 | − | 0.000675845i | ||||
\(521\) | 5215.22 | − | 4940.12i | 0.438547 | − | 0.415414i | −0.436309 | − | 0.899797i | \(-0.643715\pi\) |
0.874856 | + | 0.484383i | \(0.160956\pi\) | |||||||
\(522\) | −1423.57 | + | 8683.41i | −0.119364 | + | 0.728089i | ||||
\(523\) | −19730.9 | + | 6648.11i | −1.64966 | + | 0.555834i | −0.982041 | − | 0.188670i | \(-0.939582\pi\) |
−0.667617 | + | 0.744505i | \(0.732686\pi\) | |||||||
\(524\) | −5656.39 | − | 14196.5i | −0.471566 | − | 1.18354i | ||||
\(525\) | 2070.19 | + | 1960.99i | 0.172096 | + | 0.163018i | ||||
\(526\) | −11530.2 | + | 8765.04i | −0.955781 | + | 0.726566i | ||||
\(527\) | −11486.0 | + | 2528.26i | −0.949408 | + | 0.208981i | ||||
\(528\) | 5852.91 | + | 6890.58i | 0.482415 | + | 0.567943i | ||||
\(529\) | 10937.5 | − | 1189.53i | 0.898950 | − | 0.0977667i | ||||
\(530\) | −10195.3 | −0.835573 | ||||||||
\(531\) | −1784.97 | + | 3667.37i | −0.145877 | + | 0.299718i | ||||
\(532\) | 11670.0 | 0.951046 | ||||||||
\(533\) | 19043.6 | − | 2071.11i | 1.54760 | − | 0.168311i | ||||
\(534\) | 5398.83 | + | 6355.99i | 0.437510 | + | 0.515076i | ||||
\(535\) | −7326.92 | + | 1612.78i | −0.592094 | + | 0.130330i | ||||
\(536\) | 18.7721 | − | 14.2702i | 0.00151275 | − | 0.00114996i | ||||
\(537\) | 4712.01 | + | 4463.45i | 0.378656 | + | 0.358682i | ||||
\(538\) | 9798.48 | + | 24592.3i | 0.785209 | + | 1.97073i | ||||
\(539\) | −1163.73 | + | 392.108i | −0.0929974 | + | 0.0313345i | ||||
\(540\) | −296.219 | + | 1806.86i | −0.0236060 | + | 0.143990i | ||||
\(541\) | 3287.27 | − | 3113.87i | 0.261240 | − | 0.247460i | −0.545857 | − | 0.837878i | \(-0.683796\pi\) |
0.807097 | + | 0.590419i | \(0.201037\pi\) | |||||||
\(542\) | 16803.4 | + | 7774.08i | 1.33168 | + | 0.616099i | ||||
\(543\) | 7633.98 | + | 5803.20i | 0.603325 | + | 0.458636i | ||||
\(544\) | −2243.46 | − | 13684.5i | −0.176816 | − | 1.07853i | ||||
\(545\) | 189.359 | + | 357.169i | 0.0148830 | + | 0.0280724i | ||||
\(546\) | −8636.59 | − | 1901.06i | −0.676945 | − | 0.149007i | ||||
\(547\) | 3253.81 | − | 1505.37i | 0.254338 | − | 0.117669i | −0.288578 | − | 0.957456i | \(-0.593182\pi\) |
0.542916 | + | 0.839787i | \(0.317320\pi\) | |||||||
\(548\) | 993.667 | − | 2493.92i | 0.0774587 | − | 0.194407i | ||||
\(549\) | −180.790 | + | 3334.47i | −0.0140545 | + | 0.259220i | ||||
\(550\) | −5655.24 | + | 8340.85i | −0.438437 | + | 0.646646i | ||||
\(551\) | 12937.8 | − | 15231.6i | 1.00031 | − | 1.17765i | ||||
\(552\) | −2.61450 | + | 4.93147i | −0.000201595 | + | 0.000380249i | ||||
\(553\) | −2643.11 | − | 890.568i | −0.203249 | − | 0.0684825i | ||||
\(554\) | −1365.30 | − | 25181.5i | −0.104704 | − | 1.93115i | ||||
\(555\) | 207.149 | + | 124.638i | 0.0158432 | + | 0.00953256i | ||||
\(556\) | −3044.15 | + | 10964.1i | −0.232196 | + | 0.836294i | ||||
\(557\) | −4316.95 | − | 15548.2i | −0.328393 | − | 1.18276i | −0.924917 | − | 0.380170i | \(-0.875866\pi\) |
0.596524 | − | 0.802595i | \(-0.296548\pi\) | |||||||
\(558\) | −6703.07 | + | 4033.10i | −0.508537 | + | 0.305976i | ||||
\(559\) | −9506.69 | − | 14021.3i | −0.719302 | − | 1.06089i | ||||
\(560\) | 9569.33 | + | 1040.73i | 0.722104 | + | 0.0785335i | ||||
\(561\) | −7616.96 | − | 828.395i | −0.573241 | − | 0.0623438i | ||||
\(562\) | 14132.8 | + | 20844.3i | 1.06078 | + | 1.56453i | ||||
\(563\) | −12530.1 | + | 7539.10i | −0.937975 | + | 0.564361i | −0.900462 | − | 0.434936i | \(-0.856771\pi\) |
−0.0375130 | + | 0.999296i | \(0.511944\pi\) | |||||||
\(564\) | −3978.70 | − | 14330.0i | −0.297045 | − | 1.06986i | ||||
\(565\) | −2950.15 | + | 10625.5i | −0.219670 | + | 0.791181i | ||||
\(566\) | 11217.4 | + | 6749.26i | 0.833041 | + | 0.501224i | ||||
\(567\) | 78.0729 | + | 1439.97i | 0.00578263 | + | 0.106654i | ||||
\(568\) | −26.8191 | − | 9.03639i | −0.00198117 | − | 0.000667533i | ||||
\(569\) | 2717.43 | − | 5125.62i | 0.200212 | − | 0.377640i | −0.762993 | − | 0.646406i | \(-0.776271\pi\) |
0.963205 | + | 0.268766i | \(0.0866160\pi\) | |||||||
\(570\) | 5379.66 | − | 6333.42i | 0.395314 | − | 0.465400i | ||||
\(571\) | 4374.84 | − | 6452.41i | 0.320633 | − | 0.472898i | −0.632880 | − | 0.774250i | \(-0.718127\pi\) |
0.953513 | + | 0.301352i | \(0.0974378\pi\) | |||||||
\(572\) | 846.704 | − | 15616.5i | 0.0618924 | − | 1.14154i | ||||
\(573\) | −1759.87 | + | 4416.93i | −0.128306 | + | 0.322024i | ||||
\(574\) | 29935.8 | − | 13849.8i | 2.17682 | − | 1.00710i | ||||
\(575\) | 1779.66 | + | 391.732i | 0.129073 | + | 0.0284110i | ||||
\(576\) | −2165.77 | − | 4085.08i | −0.156667 | − | 0.295506i | ||||
\(577\) | 3549.63 | + | 21651.8i | 0.256106 | + | 1.56217i | 0.731152 | + | 0.682214i | \(0.238983\pi\) |
−0.475047 | + | 0.879960i | \(0.657569\pi\) | |||||||
\(578\) | −6311.65 | − | 4797.99i | −0.454204 | − | 0.345277i | ||||
\(579\) | 14525.4 | + | 6720.16i | 1.04258 | + | 0.482349i | ||||
\(580\) | −12028.6 | + | 11394.1i | −0.861140 | + | 0.815715i | ||||
\(581\) | −199.260 | + | 1215.43i | −0.0142284 | + | 0.0867896i | ||||
\(582\) | 2448.99 | − | 825.162i | 0.174423 | − | 0.0587699i | ||||
\(583\) | −5256.24 | − | 13192.2i | −0.373398 | − | 0.937159i | ||||
\(584\) | 23.2084 | + | 21.9841i | 0.00164447 | + | 0.00155772i | ||||
\(585\) | −2508.66 | + | 1907.03i | −0.177300 | + | 0.134780i | ||||
\(586\) | −15544.2 | + | 3421.55i | −1.09578 | + | 0.241199i | ||||
\(587\) | 8522.77 | + | 10033.8i | 0.599271 | + | 0.705517i | 0.975248 | − | 0.221112i | \(-0.0709687\pi\) |
−0.375977 | + | 0.926629i | \(0.622693\pi\) | |||||||
\(588\) | 622.232 | − | 67.6719i | 0.0436402 | − | 0.00474616i | ||||
\(589\) | 17766.9 | 1.24291 | ||||||||
\(590\) | −13697.5 | + | 6920.82i | −0.955792 | + | 0.482925i | ||||
\(591\) | −1430.71 | −0.0995795 | ||||||||
\(592\) | −604.851 | + | 65.7815i | −0.0419919 | + | 0.00456690i | ||||
\(593\) | 3959.92 | + | 4661.98i | 0.274224 | + | 0.322841i | 0.881984 | − | 0.471280i | \(-0.156208\pi\) |
−0.607760 | + | 0.794121i | \(0.707932\pi\) | |||||||
\(594\) | −4977.18 | + | 1095.56i | −0.343798 | + | 0.0756757i | ||||
\(595\) | −6494.20 | + | 4936.76i | −0.447456 | + | 0.340147i | ||||
\(596\) | 20139.9 | + | 19077.5i | 1.38417 | + | 1.31115i | ||||
\(597\) | 2983.24 | + | 7487.37i | 0.204516 | + | 0.513296i | ||||
\(598\) | −5355.49 | + | 1804.47i | −0.366224 | + | 0.123395i | ||||
\(599\) | 2919.29 | − | 17806.9i | 0.199130 | − | 1.21464i | −0.678245 | − | 0.734836i | \(-0.737259\pi\) |
0.877375 | − | 0.479805i | \(-0.159292\pi\) | |||||||
\(600\) | 6.33851 | − | 6.00416i | 0.000431281 | − | 0.000408531i | ||||
\(601\) | −13765.5 | − | 6368.61i | −0.934288 | − | 0.432248i | −0.107148 | − | 0.994243i | \(-0.534172\pi\) |
−0.827140 | + | 0.561995i | \(0.810034\pi\) | |||||||
\(602\) | −23221.6 | − | 17652.6i | −1.57216 | − | 1.19512i | ||||
\(603\) | −629.854 | − | 3841.94i | −0.0425367 | − | 0.259462i | ||||
\(604\) | 2125.69 | + | 4009.48i | 0.143200 | + | 0.270105i | ||||
\(605\) | 7387.09 | + | 1626.02i | 0.496410 | + | 0.109268i | ||||
\(606\) | 3013.65 | − | 1394.26i | 0.202015 | − | 0.0934623i | ||||
\(607\) | 8466.70 | − | 21249.8i | 0.566149 | − | 1.42093i | −0.315456 | − | 0.948940i | \(-0.602157\pi\) |
0.881605 | − | 0.471987i | \(-0.156463\pi\) | |||||||
\(608\) | −1134.14 | + | 20918.0i | −0.0756506 | + | 1.39529i | ||||
\(609\) | −7323.13 | + | 10800.8i | −0.487272 | + | 0.718672i | ||||
\(610\) | −8134.32 | + | 9576.46i | −0.539916 | + | 0.635639i | ||||
\(611\) | 11989.2 | − | 22614.0i | 0.793832 | − | 1.49733i | ||||
\(612\) | 3700.72 | + | 1246.92i | 0.244432 | + | 0.0823589i | ||||
\(613\) | −1470.01 | − | 27112.7i | −0.0968564 | − | 1.78641i | −0.494806 | − | 0.869004i | \(-0.664761\pi\) |
0.397949 | − | 0.917407i | \(-0.369722\pi\) | |||||||
\(614\) | 23718.3 | + | 14270.8i | 1.55894 | + | 0.937985i | ||||
\(615\) | 3144.41 | − | 11325.1i | 0.206170 | − | 0.742559i | ||||
\(616\) | −12.2464 | − | 44.1074i | −0.000801006 | − | 0.00288496i | ||||
\(617\) | −17915.5 | + | 10779.4i | −1.16897 | + | 0.703344i | −0.961475 | − | 0.274893i | \(-0.911358\pi\) |
−0.207491 | + | 0.978237i | \(0.566530\pi\) | |||||||
\(618\) | −1616.51 | − | 2384.17i | −0.105219 | − | 0.155187i | ||||
\(619\) | 17818.2 | + | 1937.85i | 1.15699 | + | 0.125830i | 0.666422 | − | 0.745574i | \(-0.267825\pi\) |
0.490565 | + | 0.871404i | \(0.336790\pi\) | |||||||
\(620\) | −14643.5 | − | 1592.57i | −0.948542 | − | 0.103160i | ||||
\(621\) | 517.168 | + | 762.766i | 0.0334191 | + | 0.0492895i | ||||
\(622\) | 13896.2 | − | 8361.05i | 0.895797 | − | 0.538983i | ||||
\(623\) | 3308.61 | + | 11916.5i | 0.212771 | + | 0.766334i | ||||
\(624\) | 2121.65 | − | 7641.50i | 0.136112 | − | 0.490232i | ||||
\(625\) | 5227.73 | + | 3145.42i | 0.334575 | + | 0.201307i | ||||
\(626\) | −142.997 | − | 2637.42i | −0.00912988 | − | 0.168391i | ||||
\(627\) | 10968.7 | + | 3695.78i | 0.698639 | + | 0.235399i | ||||
\(628\) | −7841.59 | + | 14790.8i | −0.498270 | + | 0.939837i | ||||
\(629\) | 333.804 | − | 392.985i | 0.0211600 | − | 0.0249115i | ||||
\(630\) | −3045.03 | + | 4491.08i | −0.192566 | + | 0.284014i | ||||
\(631\) | 1222.70 | − | 22551.4i | 0.0771394 | − | 1.42275i | −0.662153 | − | 0.749368i | \(-0.730357\pi\) |
0.739293 | − | 0.673384i | \(-0.235160\pi\) | |||||||
\(632\) | −3.16087 | + | 7.93319i | −0.000198944 | + | 0.000499312i | ||||
\(633\) | −8469.37 | + | 3918.35i | −0.531796 | + | 0.246035i | ||||
\(634\) | 8244.96 | + | 1814.85i | 0.516482 | + | 0.113686i | ||||
\(635\) | −7397.77 | − | 13953.7i | −0.462318 | − | 0.872023i | ||||
\(636\) | 1170.96 | + | 7142.56i | 0.0730058 | + | 0.445316i | ||||
\(637\) | 857.559 | + | 651.900i | 0.0533403 | + | 0.0405482i | ||||
\(638\) | −41854.2 | − | 19363.8i | −2.59721 | − | 1.20160i | ||||
\(639\) | −3392.25 | + | 3213.31i | −0.210008 | + | 0.198931i | ||||
\(640\) | 9.55240 | − | 58.2671i | 0.000589987 | − | 0.00359876i | ||||
\(641\) | −12175.2 | + | 4102.29i | −0.750219 | + | 0.252778i | −0.668332 | − | 0.743864i | \(-0.732991\pi\) |
−0.0818871 | + | 0.996642i | \(0.526095\pi\) | |||||||
\(642\) | 3939.44 | + | 9887.26i | 0.242177 | + | 0.607818i | ||||
\(643\) | −3794.94 | − | 3594.76i | −0.232749 | − | 0.220472i | 0.562432 | − | 0.826844i | \(-0.309866\pi\) |
−0.795181 | + | 0.606372i | \(0.792624\pi\) | |||||||
\(644\) | −3876.67 | + | 2946.97i | −0.237208 | + | 0.180321i | ||||
\(645\) | −10151.1 | + | 2234.44i | −0.619691 | + | 0.136404i | ||||
\(646\) | −11473.8 | − | 13508.0i | −0.698810 | − | 0.822703i | ||||
\(647\) | −24726.1 | + | 2689.13i | −1.50245 | + | 0.163401i | −0.822039 | − | 0.569431i | \(-0.807164\pi\) |
−0.680410 | + | 0.732832i | \(0.738198\pi\) | |||||||
\(648\) | 4.41537 | 0.000267673 | ||||||||
\(649\) | −16017.1 | − | 14155.8i | −0.968759 | − | 0.856187i | ||||
\(650\) | 8839.73 | 0.533419 | ||||||||
\(651\) | −11533.2 | + | 1254.32i | −0.694352 | + | 0.0755154i | ||||
\(652\) | −9392.48 | − | 11057.7i | −0.564168 | − | 0.664190i | ||||
\(653\) | 12121.3 | − | 2668.11i | 0.726408 | − | 0.159895i | 0.163653 | − | 0.986518i | \(-0.447672\pi\) |
0.562755 | + | 0.826623i | \(0.309741\pi\) | |||||||
\(654\) | 456.563 | − | 347.070i | 0.0272982 | − | 0.0207516i | ||||
\(655\) | −11715.8 | − | 11097.8i | −0.698890 | − | 0.662024i | ||||
\(656\) | 10948.6 | + | 27479.0i | 0.651634 | + | 1.63548i | ||||
\(657\) | 5001.73 | − | 1685.28i | 0.297011 | − | 0.100075i | ||||
\(658\) | 7130.20 | − | 43492.3i | 0.422438 | − | 2.57676i | ||||
\(659\) | −13176.1 | + | 12481.0i | −0.778857 | + | 0.737772i | −0.969819 | − | 0.243825i | \(-0.921598\pi\) |
0.190962 | + | 0.981597i | \(0.438839\pi\) | |||||||
\(660\) | −8709.08 | − | 4029.25i | −0.513637 | − | 0.237634i | ||||
\(661\) | 4520.56 | + | 3436.44i | 0.266005 | + | 0.202212i | 0.729671 | − | 0.683798i | \(-0.239673\pi\) |
−0.463666 | + | 0.886010i | \(0.653466\pi\) | |||||||
\(662\) | −1752.88 | − | 10692.1i | −0.102912 | − | 0.627734i | ||||
\(663\) | 3148.15 | + | 5938.04i | 0.184410 | + | 0.347835i | ||||
\(664\) | 3.68293 | + | 0.810674i | 0.000215249 | + | 4.73799e-5i | ||||
\(665\) | 11184.4 | − | 5174.47i | 0.652201 | − | 0.301740i | ||||
\(666\) | 126.945 | − | 318.607i | 0.00738589 | − | 0.0185372i | ||||
\(667\) | −451.474 | + | 8326.94i | −0.0262086 | + | 0.483389i | ||||
\(668\) | 11634.5 | − | 17159.5i | 0.673878 | − | 0.993896i | ||||
\(669\) | −4740.24 | + | 5580.64i | −0.273944 | + | 0.322511i | ||||
\(670\) | 6861.63 | − | 12942.4i | 0.395653 | − | 0.746281i | ||||
\(671\) | −16585.2 | − | 5588.20i | −0.954194 | − | 0.321505i | ||||
\(672\) | −740.560 | − | 13658.8i | −0.0425115 | − | 0.784078i | ||||
\(673\) | −21431.3 | − | 12894.8i | −1.22751 | − | 0.738569i | −0.254000 | − | 0.967204i | \(-0.581746\pi\) |
−0.973512 | + | 0.228635i | \(0.926574\pi\) | |||||||
\(674\) | −8014.69 | + | 28866.3i | −0.458033 | + | 1.64969i | ||||
\(675\) | −385.641 | − | 1388.95i | −0.0219901 | − | 0.0792012i | ||||
\(676\) | 3330.67 | − | 2004.00i | 0.189501 | − | 0.114019i | ||||
\(677\) | −12054.3 | − | 17778.8i | −0.684322 | − | 1.00930i | −0.998208 | − | 0.0598386i | \(-0.980941\pi\) |
0.313886 | − | 0.949461i | \(-0.398369\pi\) | |||||||
\(678\) | 15552.4 | + | 1691.42i | 0.880951 | + | 0.0958092i | ||||
\(679\) | 3810.00 | + | 414.362i | 0.215338 | + | 0.0234194i | ||||
\(680\) | 14.0167 | + | 20.6731i | 0.000790465 | + | 0.00116585i | ||||
\(681\) | 4116.89 | − | 2477.05i | 0.231658 | − | 0.139384i | ||||
\(682\) | −10968.3 | − | 39504.4i | −0.615835 | − | 2.21804i | ||||
\(683\) | −3033.17 | + | 10924.5i | −0.169928 | + | 0.612027i | 0.828701 | + | 0.559691i | \(0.189080\pi\) |
−0.998630 | + | 0.0523353i | \(0.983334\pi\) | |||||||
\(684\) | −5054.92 | − | 3041.45i | −0.282573 | − | 0.170018i | ||||
\(685\) | −153.479 | − | 2830.75i | −0.00856077 | − | 0.157894i | ||||
\(686\) | 24915.4 | + | 8394.97i | 1.38670 | + | 0.467232i | ||||
\(687\) | −457.648 | + | 863.216i | −0.0254154 | + | 0.0479385i | ||||
\(688\) | 16934.8 | − | 19937.1i | 0.938418 | − | 1.10479i | ||||
\(689\) | −6990.61 | + | 10310.4i | −0.386532 | + | 0.570093i | ||||
\(690\) | −187.727 | + | 3462.42i | −0.0103575 | + | 0.191032i | ||||
\(691\) | 693.730 | − | 1741.13i | 0.0381921 | − | 0.0958550i | −0.908644 | − | 0.417573i | \(-0.862881\pi\) |
0.946836 | + | 0.321718i | \(0.104260\pi\) | |||||||
\(692\) | −23789.1 | + | 11006.0i | −1.30683 | + | 0.604602i | ||||
\(693\) | −7381.13 | − | 1624.71i | −0.404597 | − | 0.0890586i | ||||
\(694\) | −994.050 | − | 1874.98i | −0.0543712 | − | 0.102555i | ||||
\(695\) | 1943.97 | + | 11857.7i | 0.106099 | + | 0.647176i | ||||
\(696\) | 31.8075 | + | 24.1795i | 0.00173227 | + | 0.00131684i | ||||
\(697\) | −22751.2 | − | 10525.8i | −1.23639 | − | 0.572016i | ||||
\(698\) | −20407.1 | + | 19330.6i | −1.10662 | + | 1.04824i | ||||
\(699\) | −384.563 | + | 2345.73i | −0.0208090 | + | 0.126929i | ||||
\(700\) | 7218.28 | − | 2432.12i | 0.389750 | − | 0.131322i | ||||
\(701\) | −6677.86 | − | 16760.2i | −0.359799 | − | 0.903028i | −0.991770 | − | 0.128035i | \(-0.959133\pi\) |
0.631970 | − | 0.774993i | \(-0.282246\pi\) | |||||||
\(702\) | 3245.54 | + | 3074.34i | 0.174494 | + | 0.165290i | ||||
\(703\) | −620.100 | + | 471.388i | −0.0332681 | + | 0.0252898i | ||||
\(704\) | 23665.7 | − | 5209.22i | 1.26695 | − | 0.278878i | ||||
\(705\) | −10167.1 | − | 11969.6i | −0.543142 | − | 0.639436i | ||||
\(706\) | −51310.0 | + | 5580.30i | −2.73524 | + | 0.297475i | ||||
\(707\) | 4924.37 | 0.261952 | ||||||||
\(708\) | 6421.77 | + | 8801.27i | 0.340883 | + | 0.467192i | ||||
\(709\) | −12039.8 | −0.637750 | −0.318875 | − | 0.947797i | \(-0.603305\pi\) | ||||
−0.318875 | + | 0.947797i | \(0.603305\pi\) | |||||||
\(710\) | −17478.1 | + | 1900.86i | −0.923860 | + | 0.100476i | ||||
\(711\) | 912.780 | + | 1074.61i | 0.0481462 | + | 0.0566821i | ||||
\(712\) | 36.9810 | − | 8.14013i | 0.00194652 | − | 0.000428461i | ||||
\(713\) | −5902.04 | + | 4486.61i | −0.310004 | + | 0.235659i | ||||
\(714\) | 8401.77 | + | 7958.58i | 0.440376 | + | 0.417146i | ||||
\(715\) | −6112.91 | − | 15342.2i | −0.319734 | − | 0.802472i | ||||
\(716\) | 16429.7 | − | 5535.80i | 0.857550 | − | 0.288942i | ||||
\(717\) | 2214.18 | − | 13505.9i | 0.115328 | − | 0.703470i | ||||
\(718\) | −11650.1 | + | 11035.6i | −0.605541 | + | 0.573599i | ||||
\(719\) | −34355.9 | − | 15894.7i | −1.78200 | − | 0.824441i | −0.970882 | − | 0.239559i | \(-0.922997\pi\) |
−0.811119 | − | 0.584882i | \(-0.801141\pi\) | |||||||
\(720\) | −3873.79 | − | 2944.78i | −0.200510 | − | 0.152424i | ||||
\(721\) | −691.099 | − | 4215.52i | −0.0356975 | − | 0.217745i | ||||
\(722\) | −315.536 | − | 595.165i | −0.0162646 | − | 0.0306783i | ||||
\(723\) | 8925.10 | + | 1964.56i | 0.459098 | + | 0.101055i | ||||
\(724\) | 23247.6 | − | 10755.5i | 1.19335 | − | 0.552105i | ||||
\(725\) | 4828.10 | − | 12117.6i | 0.247325 | − | 0.620740i | ||||
\(726\) | 580.941 | − | 10714.8i | 0.0296980 | − | 0.547747i | ||||
\(727\) | −8919.57 | + | 13155.4i | −0.455032 | + | 0.671122i | −0.984132 | − | 0.177437i | \(-0.943219\pi\) |
0.529100 | + | 0.848560i | \(0.322530\pi\) | |||||||
\(728\) | −25.9954 | + | 30.6041i | −0.00132342 | + | 0.00155806i | ||||
\(729\) | 341.470 | − | 644.080i | 0.0173485 | − | 0.0327227i | ||||
\(730\) | 18819.7 | + | 6341.10i | 0.954176 | + | 0.321499i | ||||
\(731\) | 1200.19 | + | 22136.3i | 0.0607261 | + | 1.12003i | ||||
\(732\) | 7643.30 | + | 4598.82i | 0.385935 | + | 0.232209i | ||||
\(733\) | −3541.33 | + | 12754.7i | −0.178447 | + | 0.642709i | 0.819159 | + | 0.573566i | \(0.194440\pi\) |
−0.997607 | + | 0.0691433i | \(0.977973\pi\) | |||||||
\(734\) | −11961.7 | − | 43082.1i | −0.601518 | − | 2.16647i | ||||
\(735\) | 566.339 | − | 340.755i | 0.0284214 | − | 0.0171006i | ||||
\(736\) | −4905.59 | − | 7235.21i | −0.245683 | − | 0.362355i | ||||
\(737\) | 20284.4 | + | 2206.06i | 1.01382 | + | 0.110260i | ||||
\(738\) | −16576.4 | − | 1802.80i | −0.826812 | − | 0.0899212i | ||||
\(739\) | −1727.49 | − | 2547.86i | −0.0859902 | − | 0.126826i | 0.782261 | − | 0.622951i | \(-0.214066\pi\) |
−0.868251 | + | 0.496125i | \(0.834756\pi\) | |||||||
\(740\) | 553.339 | − | 332.933i | 0.0274880 | − | 0.0165390i | ||||
\(741\) | −2716.25 | − | 9783.06i | −0.134661 | − | 0.485006i | ||||
\(742\) | −5738.30 | + | 20667.5i | −0.283908 | + | 1.02254i | ||||
\(743\) | 26260.7 | + | 15800.5i | 1.29665 | + | 0.780168i | 0.985416 | − | 0.170165i | \(-0.0544300\pi\) |
0.311234 | + | 0.950333i | \(0.399258\pi\) | |||||||
\(744\) | 1.92305 | + | 35.4686i | 9.47614e−5 | + | 0.00174777i | ||||
\(745\) | 27761.0 | + | 9353.76i | 1.36521 | + | 0.459994i | ||||
\(746\) | 12910.6 | − | 24352.0i | 0.633635 | − | 1.19516i | ||||
\(747\) | 403.080 | − | 474.542i | 0.0197429 | − | 0.0232431i | ||||
\(748\) | −11485.5 | + | 16939.9i | −0.561433 | + | 0.828052i | ||||
\(749\) | −854.516 | + | 15760.6i | −0.0416867 | + | 0.768866i | ||||
\(750\) | 6707.92 | − | 16835.6i | 0.326585 | − | 0.819666i | ||||
\(751\) | 14536.2 | − | 6725.16i | 0.706302 | − | 0.326770i | −0.0336462 | − | 0.999434i | \(-0.510712\pi\) |
0.739948 | + | 0.672664i | \(0.234850\pi\) | |||||||
\(752\) | 38599.9 | + | 8496.47i | 1.87180 | + | 0.412014i | ||||
\(753\) | 3408.49 | + | 6429.09i | 0.164956 | + | 0.311141i | ||||
\(754\) | 6544.58 | + | 39920.2i | 0.316100 | + | 1.92813i | ||||
\(755\) | 3815.05 | + | 2900.13i | 0.183899 | + | 0.139797i | ||||
\(756\) | 3496.08 | + | 1617.46i | 0.168189 | + | 0.0778127i | ||||
\(757\) | −7214.11 | + | 6833.57i | −0.346369 | + | 0.328098i | −0.841031 | − | 0.540987i | \(-0.818051\pi\) |
0.494662 | + | 0.869086i | \(0.335292\pi\) | |||||||
\(758\) | −6456.61 | + | 39383.6i | −0.309386 | + | 1.88717i | ||||
\(759\) | −4576.99 | + | 1542.17i | −0.218886 | + | 0.0737511i | ||||
\(760\) | −13.9660 | − | 35.0520i | −0.000666578 | − | 0.00167299i | ||||
\(761\) | 12034.2 | + | 11399.4i | 0.573245 | + | 0.543007i | 0.918458 | − | 0.395518i | \(-0.129435\pi\) |
−0.345213 | + | 0.938524i | \(0.612193\pi\) | |||||||
\(762\) | −17836.7 | + | 13559.1i | −0.847975 | + | 0.644614i | ||||
\(763\) | 830.620 | − | 182.833i | 0.0394109 | − | 0.00867498i | ||||
\(764\) | 8222.18 | + | 9679.90i | 0.389356 | + | 0.458385i | ||||
\(765\) | 4099.63 | − | 445.862i | 0.193755 | − | 0.0210721i | ||||
\(766\) | 45962.2 | 2.16799 | ||||||||
\(767\) | −2393.04 | + | 18597.6i | −0.112657 | + | 0.875515i | ||||
\(768\) | 12246.0 | 0.575379 | ||||||||
\(769\) | −12091.2 | + | 1315.00i | −0.566996 | + | 0.0616645i | −0.387128 | − | 0.922026i | \(-0.626533\pi\) |
−0.179868 | + | 0.983691i | \(0.557567\pi\) | |||||||
\(770\) | −18410.0 | − | 21673.9i | −0.861623 | − | 1.01438i | ||||
\(771\) | −2505.63 | + | 551.530i | −0.117040 | + | 0.0257625i | ||||
\(772\) | 34034.2 | − | 25872.2i | 1.58668 | − | 1.20617i | ||||
\(773\) | −17221.3 | − | 16312.9i | −0.801302 | − | 0.759033i | 0.172845 | − | 0.984949i | \(-0.444704\pi\) |
−0.974147 | + | 0.225916i | \(0.927463\pi\) | |||||||
\(774\) | 5457.93 | + | 13698.4i | 0.253464 | + | 0.636147i | ||||
\(775\) | 10989.5 | − | 3702.78i | 0.509359 | − | 0.171623i | ||||
\(776\) | 1.89839 | − | 11.5796i | 8.78197e−5 | − | 0.000535677i | ||||
\(777\) | 369.253 | − | 349.775i | 0.0170487 | − | 0.0161494i | ||||
\(778\) | −18356.7 | − | 8492.73i | −0.845914 | − | 0.391361i | ||||
\(779\) | 30147.8 | + | 22917.8i | 1.38659 | + | 1.05406i | ||||
\(780\) | 1361.81 | + | 8306.65i | 0.0625135 | + | 0.381315i | ||||
\(781\) | −11470.6 | − | 21635.8i | −0.525543 | − | 0.991280i | ||||
\(782\) | 7222.64 | + | 1589.82i | 0.330283 | + | 0.0727008i | ||||
\(783\) | 5986.99 | − | 2769.88i | 0.273254 | − | 0.126421i | ||||
\(784\) | −615.685 | + | 1545.25i | −0.0280469 | + | 0.0703923i | ||||
\(785\) | −957.085 | + | 17652.4i | −0.0435157 | + | 0.802600i | ||||
\(786\) | −12847.5 | + | 18948.7i | −0.583024 | + | 0.859896i | ||||
\(787\) | 19693.2 | − | 23184.6i | 0.891979 | − | 1.05012i | −0.106463 | − | 0.994317i | \(-0.533953\pi\) |
0.998442 | − | 0.0558017i | \(-0.0177715\pi\) | |||||||
\(788\) | −1790.12 | + | 3376.53i | −0.0809271 | + | 0.152645i | ||||
\(789\) | 10289.6 | + | 3466.98i | 0.464284 | + | 0.156435i | ||||
\(790\) | 287.214 | + | 5297.35i | 0.0129349 | + | 0.238571i | ||||
\(791\) | 19879.1 | + | 11960.9i | 0.893579 | + | 0.537649i | ||||
\(792\) | −6.19075 | + | 22.2971i | −0.000277751 | + | 0.00100037i | ||||
\(793\) | 4107.11 | + | 14792.5i | 0.183919 | + | 0.662417i | ||||
\(794\) | 18816.4 | − | 11321.4i | 0.841017 | − | 0.506023i | ||||
\(795\) | 4289.26 | + | 6326.18i | 0.191351 | + | 0.282222i | ||||
\(796\) | 21403.2 | + | 2327.74i | 0.953036 | + | 0.103649i | ||||
\(797\) | −7646.38 | − | 831.594i | −0.339835 | − | 0.0369593i | −0.0633895 | − | 0.997989i | \(-0.520191\pi\) |
−0.276446 | + | 0.961030i | \(0.589157\pi\) | |||||||
\(798\) | −9811.02 | − | 14470.2i | −0.435221 | − | 0.641903i | ||||
\(799\) | −28700.9 | + | 17268.7i | −1.27079 | + | 0.764610i | ||||
\(800\) | 3657.99 | + | 13174.9i | 0.161662 | + | 0.582254i | ||||
\(801\) | 1672.56 | − | 6024.02i | 0.0737791 | − | 0.265728i | ||||
\(802\) | 32461.1 | + | 19531.2i | 1.42923 | + | 0.859939i | ||||
\(803\) | 1497.57 | + | 27621.0i | 0.0658132 | + | 1.21385i | ||||
\(804\) | −9855.22 | − | 3320.61i | −0.432297 | − | 0.145658i | ||||
\(805\) | −2408.69 | + | 4543.28i | −0.105460 | + | 0.198919i | ||||
\(806\) | −23282.6 | + | 27410.3i | −1.01749 | + | 1.19788i | ||||
\(807\) | 11137.3 | − | 16426.3i | 0.485813 | − | 0.716520i | ||||
\(808\) | 0.816275 | − | 15.0553i | 3.55402e−5 | − | 0.000655500i | ||||
\(809\) | −3828.35 | + | 9608.43i | −0.166375 | + | 0.417570i | −0.988398 | − | 0.151884i | \(-0.951466\pi\) |
0.822023 | + | 0.569454i | \(0.192845\pi\) | |||||||
\(810\) | 2489.45 | − | 1151.74i | 0.107988 | − | 0.0499606i | ||||
\(811\) | −5391.82 | − | 1186.83i | −0.233456 | − | 0.0513874i | 0.0967017 | − | 0.995313i | \(-0.469171\pi\) |
−0.330157 | + | 0.943926i | \(0.607102\pi\) | |||||||
\(812\) | 16327.6 | + | 30797.1i | 0.705647 | + | 1.33099i | ||||
\(813\) | −2245.54 | − | 13697.2i | −0.0968691 | − | 0.590875i | ||||
\(814\) | 1430.94 | + | 1087.77i | 0.0616146 | + | 0.0468382i | ||||
\(815\) | −13904.7 | − | 6432.99i | −0.597620 | − | 0.276488i | ||||
\(816\) | −7534.58 | + | 7137.13i | −0.323239 | + | 0.306188i | ||||
\(817\) | 5418.04 | − | 33048.6i | 0.232011 | − | 1.41521i | ||||
\(818\) | −50996.8 | + | 17182.8i | −2.17978 | + | 0.734454i | ||||
\(819\) | 2453.90 | + | 6158.82i | 0.104696 | + | 0.262768i | ||||
\(820\) | −22793.5 | − | 21591.1i | −0.970711 | − | 0.919506i | ||||
\(821\) | −20581.4 | + | 15645.6i | −0.874904 | + | 0.665085i | −0.943072 | − | 0.332589i | \(-0.892078\pi\) |
0.0681679 | + | 0.997674i | \(0.478285\pi\) | |||||||
\(822\) | −3927.72 | + | 864.556i | −0.166660 | + | 0.0366847i | ||||
\(823\) | 3364.65 | + | 3961.17i | 0.142508 | + | 0.167774i | 0.828786 | − | 0.559566i | \(-0.189032\pi\) |
−0.686277 | + | 0.727340i | \(0.740756\pi\) | |||||||
\(824\) | −13.0027 | + | 1.41413i | −0.000549721 | + | 5.97858e-5i | ||||
\(825\) | 7554.74 | 0.318815 | ||||||||
\(826\) | 6320.15 | + | 31662.4i | 0.266230 | + | 1.33375i | ||||
\(827\) | 24594.8 | 1.03415 | 0.517077 | − | 0.855939i | \(-0.327020\pi\) | ||||
0.517077 | + | 0.855939i | \(0.327020\pi\) | |||||||
\(828\) | 2447.25 | − | 266.155i | 0.102715 | − | 0.0111709i | ||||
\(829\) | −1784.35 | − | 2100.70i | −0.0747565 | − | 0.0880102i | 0.723512 | − | 0.690311i | \(-0.242526\pi\) |
−0.798269 | + | 0.602301i | \(0.794251\pi\) | |||||||
\(830\) | 2287.95 | − | 503.616i | 0.0956818 | − | 0.0210612i | ||||
\(831\) | −15050.8 | + | 11441.3i | −0.628287 | + | 0.477611i | ||||
\(832\) | −15432.0 | − | 14618.0i | −0.643041 | − | 0.609121i | ||||
\(833\) | −521.777 | − | 1309.56i | −0.0217029 | − | 0.0544701i | ||||
\(834\) | 16154.1 | − | 5442.96i | 0.670709 | − | 0.225988i | ||||
\(835\) | 3541.85 | − | 21604.3i | 0.146791 | − | 0.895388i | ||||
\(836\) | 22446.4 | − | 21262.3i | 0.928617 | − | 0.879633i | ||||
\(837\) | 5322.61 | + | 2462.50i | 0.219804 | + | 0.101692i | ||||
\(838\) | 38497.9 | + | 29265.3i | 1.58698 | + | 1.20639i | ||||
\(839\) | −4896.26 | − | 29865.9i | −0.201475 | − | 1.22894i | −0.872910 | − | 0.487881i | \(-0.837770\pi\) |
0.671435 | − | 0.741063i | \(-0.265678\pi\) | |||||||
\(840\) | 11.5405 | + | 21.7677i | 0.000474030 | + | 0.000894116i | ||||
\(841\) | 34478.8 | + | 7589.36i | 1.41370 | + | 0.311180i | ||||
\(842\) | 37483.5 | − | 17341.7i | 1.53417 | − | 0.709780i | ||||
\(843\) | 6988.14 | − | 17538.9i | 0.285509 | − | 0.716574i | ||||
\(844\) | −1349.54 | + | 24890.8i | −0.0550391 | + | 1.01514i | ||||
\(845\) | 2303.52 | − | 3397.44i | 0.0937794 | − | 0.138314i | ||||
\(846\) | −14423.5 | + | 16980.7i | −0.586160 | + | 0.690081i | ||||
\(847\) | 7453.96 | − | 14059.7i | 0.302386 | − | 0.570361i | ||||
\(848\) | −18228.5 | − | 6141.89i | −0.738171 | − | 0.248719i | ||||
\(849\) | −531.335 | − | 9799.89i | −0.0214786 | − | 0.396150i | ||||
\(850\) | −9912.15 | − | 5963.94i | −0.399981 | − | 0.240661i | ||||
\(851\) | 86.9548 | − | 313.183i | 0.00350267 | − | 0.0126155i | ||||
\(852\) | 3339.12 | + | 12026.4i | 0.134268 | + | 0.483589i | ||||
\(853\) | 19234.4 | − | 11573.0i | 0.772067 | − | 0.464537i | −0.0742349 | − | 0.997241i | \(-0.523651\pi\) |
0.846302 | + | 0.532703i | \(0.178824\pi\) | |||||||
\(854\) | 14834.8 | + | 21879.6i | 0.594420 | + | 0.876704i | ||||
\(855\) | −6193.19 | − | 673.550i | −0.247722 | − | 0.0269414i | ||||
\(856\) | 48.0434 | + | 5.22504i | 0.00191833 | + | 0.000208631i | ||||
\(857\) | −14666.6 | − | 21631.7i | −0.584600 | − | 0.862221i | 0.414250 | − | 0.910163i | \(-0.364044\pi\) |
−0.998850 | + | 0.0479423i | \(0.984734\pi\) | |||||||
\(858\) | −20075.6 | + | 12079.1i | −0.798798 | + | 0.480621i | ||||
\(859\) | 899.670 | + | 3240.32i | 0.0357350 | + | 0.128706i | 0.979266 | − | 0.202578i | \(-0.0649320\pi\) |
−0.943531 | + | 0.331284i | \(0.892518\pi\) | |||||||
\(860\) | −7427.91 | + | 26752.9i | −0.294523 | + | 1.06077i | ||||
\(861\) | −21188.1 | − | 12748.5i | −0.838664 | − | 0.504607i | ||||
\(862\) | −2391.39 | − | 44106.6i | −0.0944908 | − | 1.74278i | ||||
\(863\) | −37224.3 | − | 12542.3i | −1.46829 | − | 0.494723i | −0.532238 | − | 0.846595i | \(-0.678649\pi\) |
−0.936048 | + | 0.351871i | \(0.885545\pi\) | |||||||
\(864\) | −3239.01 | + | 6109.42i | −0.127539 | + | 0.240563i | ||||
\(865\) | −17919.2 | + | 21096.2i | −0.704362 | + | 0.829238i | ||||
\(866\) | −3551.20 | + | 5237.63i | −0.139347 | + | 0.205522i | ||||
\(867\) | −321.785 | + | 5934.97i | −0.0126048 | + | 0.232482i | ||||
\(868\) | −11470.3 | + | 28788.4i | −0.448535 | + | 1.12574i | ||||
\(869\) | −6706.44 | + | 3102.73i | −0.261795 | + | 0.121119i | ||||
\(870\) | 24240.7 | + | 5335.78i | 0.944639 | + | 0.207931i | ||||
\(871\) | −8383.71 | − | 15813.3i | −0.326144 | − | 0.615172i | ||||
\(872\) | −0.421292 | − | 2.56977i | −1.63610e−5 | − | 9.97975e-5i | ||||
\(873\) | −1542.33 | − | 1172.45i | −0.0597939 | − | 0.0454542i | ||||
\(874\) | −10139.6 | − | 4691.10i | −0.392424 | − | 0.181555i | ||||
\(875\) | 19511.8 | − | 18482.6i | 0.753851 | − | 0.714086i | ||||
\(876\) | 2280.91 | − | 13912.9i | 0.0879736 | − | 0.536615i | ||||
\(877\) | −25245.5 | + | 8506.21i | −0.972042 | + | 0.327519i | −0.760131 | − | 0.649770i | \(-0.774865\pi\) |
−0.211911 | + | 0.977289i | \(0.567969\pi\) | |||||||
\(878\) | 8709.51 | + | 21859.2i | 0.334774 | + | 0.840220i | ||||
\(879\) | 8662.71 | + | 8205.76i | 0.332407 | + | 0.314873i | ||||
\(880\) | 20302.1 | − | 15433.3i | 0.777710 | − | 0.591200i | ||||
\(881\) | −8312.57 | + | 1829.74i | −0.317886 | + | 0.0699721i | −0.371047 | − | 0.928614i | \(-0.621001\pi\) |
0.0531613 | + | 0.998586i | \(0.483070\pi\) | |||||||
\(882\) | −607.025 | − | 714.645i | −0.0231742 | − | 0.0272827i | ||||
\(883\) | 22903.0 | − | 2490.85i | 0.872872 | − | 0.0949306i | 0.339293 | − | 0.940681i | \(-0.389812\pi\) |
0.533579 | + | 0.845750i | \(0.320847\pi\) | |||||||
\(884\) | 17953.1 | 0.683062 | ||||||||
\(885\) | 10057.1 | + | 5587.67i | 0.381995 | + | 0.212235i | ||||
\(886\) | −2220.49 | −0.0841974 | ||||||||
\(887\) | −31101.4 | + | 3382.48i | −1.17732 | + | 0.128041i | −0.675787 | − | 0.737097i | \(-0.736196\pi\) |
−0.501533 | + | 0.865139i | \(0.667230\pi\) | |||||||
\(888\) | −1.00816 | − | 1.18690i | −3.80988e−5 | − | 4.48533e-5i | ||||
\(889\) | −32450.2 | + | 7142.83i | −1.22423 | + | 0.269474i | ||||
\(890\) | 18727.0 | − | 14235.9i | 0.705317 | − | 0.536168i | ||||
\(891\) | 2773.75 | + | 2627.44i | 0.104292 | + | 0.0987907i | ||||
\(892\) | 7239.50 | + | 18169.8i | 0.271745 | + | 0.682028i | ||||
\(893\) | 47951.8 | − | 16156.9i | 1.79692 | − | 0.605452i | ||||
\(894\) | 6723.43 | − | 41011.1i | 0.251527 | − | 1.53425i | ||||
\(895\) | 13291.5 | − | 12590.4i | 0.496410 | − | 0.470225i | ||||
\(896\) | −112.741 | − | 52.1593i | −0.00420357 | − | 0.00194478i | ||||
\(897\) | 3372.80 | + | 2563.93i | 0.125546 | + | 0.0954372i | ||||
\(898\) | −8088.83 | − | 49339.7i | −0.300588 | − | 1.83350i | ||||
\(899\) | 24857.9 | + | 46887.0i | 0.922201 | + | 1.73945i | ||||
\(900\) | −3760.51 | − | 827.751i | −0.139278 | − | 0.0306574i | ||||
\(901\) | 14794.8 | − | 6844.83i | 0.547045 | − | 0.253090i | ||||
\(902\) | 32345.6 | − | 81181.2i | 1.19400 | − | 2.99672i | ||||
\(903\) | −1183.90 | + | 21835.7i | −0.0436297 | + | 0.804702i | ||||
\(904\) | 39.8633 | − | 58.7940i | 0.00146663 | − | 0.00216312i | ||||
\(905\) | 17511.4 | − | 20616.0i | 0.643202 | − | 0.757236i | ||||
\(906\) | 3184.47 | − | 6006.54i | 0.116774 | − | 0.220258i | ||||
\(907\) | −38579.6 | − | 12999.0i | −1.41236 | − | 0.475881i | −0.493256 | − | 0.869884i | \(-0.664193\pi\) |
−0.919109 | + | 0.394003i | \(0.871090\pi\) | |||||||
\(908\) | −694.828 | − | 12815.4i | −0.0253950 | − | 0.468384i | ||||
\(909\) | −2133.02 | − | 1283.40i | −0.0778305 | − | 0.0468291i | ||||
\(910\) | −6673.53 | + | 24035.9i | −0.243105 | + | 0.875584i | ||||
\(911\) | 12167.3 | + | 43822.5i | 0.442502 | + | 1.59375i | 0.762935 | + | 0.646476i | \(0.223758\pi\) |
−0.320433 | + | 0.947271i | \(0.603828\pi\) | |||||||
\(912\) | 13433.9 | − | 8082.92i | 0.487765 | − | 0.293478i | ||||
\(913\) | 1831.22 | + | 2700.85i | 0.0663797 | + | 0.0979028i | ||||
\(914\) | −55689.8 | − | 6056.63i | −2.01538 | − | 0.219185i | ||||
\(915\) | 9364.42 | + | 1018.44i | 0.338337 | + | 0.0367963i | ||||
\(916\) | 1464.61 | + | 2160.14i | 0.0528298 | + | 0.0779181i | ||||
\(917\) | −29091.1 | + | 17503.5i | −1.04763 | + | 0.630336i | ||||
\(918\) | −1565.10 | − | 5637.00i | −0.0562703 | − | 0.202667i | ||||
\(919\) | 7258.99 | − | 26144.5i | 0.260557 | − | 0.938441i | −0.711304 | − | 0.702885i | \(-0.751895\pi\) |
0.971861 | − | 0.235557i | \(-0.0756913\pi\) | |||||||
\(920\) | 13.4909 | + | 8.11723i | 0.000483460 | + | 0.000290888i | ||||
\(921\) | −1123.47 | − | 20721.1i | −0.0401949 | − | 0.741352i | ||||
\(922\) | 26285.4 | + | 8856.60i | 0.938899 | + | 0.316352i | ||||
\(923\) | −10061.9 | + | 18978.8i | −0.358821 | + | 0.676809i | ||||
\(924\) | −13069.8 | + | 15386.9i | −0.465329 | + | 0.547828i | ||||
\(925\) | −285.312 | + | 420.804i | −0.0101416 | + | 0.0149578i | ||||
\(926\) | 3330.28 | − | 61423.4i | 0.118186 | − | 2.17980i | ||||
\(927\) | −799.301 | + | 2006.10i | −0.0283199 | + | 0.0710775i | ||||
\(928\) | −56789.6 | + | 26273.7i | −2.00885 | + | 0.929391i | ||||
\(929\) | −17788.7 | − | 3915.58i | −0.628232 | − | 0.138284i | −0.110568 | − | 0.993869i | \(-0.535267\pi\) |
−0.517664 | + | 0.855584i | \(0.673198\pi\) | |||||||
\(930\) | 10336.2 | + | 19496.1i | 0.364447 | + | 0.687421i | ||||
\(931\) | 344.525 | + | 2101.51i | 0.0121282 | + | 0.0739787i | ||||
\(932\) | 5054.86 | + | 3842.60i | 0.177658 | + | 0.135052i | ||||
\(933\) | −11034.3 | − | 5105.03i | −0.387190 | − | 0.179133i | ||||
\(934\) | 3065.19 | − | 2903.50i | 0.107383 | − | 0.101719i | ||||
\(935\) | −3496.51 | + | 21327.8i | −0.122297 | + | 0.745981i | ||||
\(936\) | 19.2362 | − | 6.48142i | 0.000671746 | − | 0.000226338i | ||||
\(937\) | −13769.5 | − | 34558.9i | −0.480075 | − | 1.20490i | −0.947182 | − | 0.320697i | \(-0.896083\pi\) |
0.467107 | − | 0.884201i | \(-0.345296\pi\) | |||||||
\(938\) | −22374.4 | − | 21194.2i | −0.778838 | − | 0.737754i | ||||
\(939\) | −1576.37 | + | 1198.32i | −0.0547847 | + | 0.0416462i | ||||
\(940\) | −40970.1 | + | 9018.19i | −1.42159 | + | 0.312916i | ||||
\(941\) | 21103.2 | + | 24844.7i | 0.731080 | + | 0.860694i | 0.994581 | − | 0.103965i | \(-0.0331531\pi\) |
−0.263501 | + | 0.964659i | \(0.584877\pi\) | |||||||
\(942\) | 24932.4 | − | 2711.56i | 0.862357 | − | 0.0937869i | ||||
\(943\) | −15802.2 | −0.545695 | ||||||||
\(944\) | −28659.6 | + | 4122.26i | −0.988125 | + | 0.142127i | ||||
\(945\) | 4067.81 | 0.140027 | ||||||||
\(946\) | −76827.6 | + | 8355.51i | −2.64047 | + | 0.287168i | ||||
\(947\) | 17582.7 | + | 20700.0i | 0.603338 | + | 0.710304i | 0.976026 | − | 0.217652i | \(-0.0698399\pi\) |
−0.372689 | + | 0.927957i | \(0.621564\pi\) | |||||||
\(948\) | 3678.21 | − | 809.635i | 0.126015 | − | 0.0277381i | ||||
\(949\) | 19316.9 | − | 14684.3i | 0.660750 | − | 0.502289i | ||||
\(950\) | 12687.1 | + | 12017.9i | 0.433289 | + | 0.410433i | ||||
\(951\) | −2342.63 | − | 5879.55i | −0.0798790 | − | 0.200481i | ||||
\(952\) | 49.7969 | − | 16.7785i | 0.00169530 | − | 0.000571214i | ||||
\(953\) | −3862.83 | + | 23562.2i | −0.131301 | + | 0.800898i | 0.836274 | + | 0.548312i | \(0.184729\pi\) |
−0.967574 | + | 0.252586i | \(0.918719\pi\) | |||||||
\(954\) | 7871.98 | − | 7456.73i | 0.267154 | − | 0.253062i | ||||
\(955\) | 12172.2 | + | 5631.44i | 0.412442 | + | 0.190816i | ||||
\(956\) | −29104.2 | − | 22124.4i | −0.984619 | − | 0.748488i | ||||
\(957\) | 5593.23 | + | 34117.2i | 0.188927 | + | 1.15241i | ||||
\(958\) | 6409.97 | + | 12090.5i | 0.216176 | + | 0.407751i | ||||
\(959\) | −5824.79 | − | 1282.13i | −0.196134 | − | 0.0431723i | ||||
\(960\) | −11837.0 | + | 5476.36i | −0.397954 | + | 0.184113i | ||||
\(961\) | −6436.24 | + | 16153.8i | −0.216047 | + | 0.542236i | ||||
\(962\) | 85.3615 | − | 1574.40i | 0.00286088 | − | 0.0527658i | ||||
\(963\) | 4477.70 | − | 6604.12i | 0.149836 | − | 0.220991i | ||||
\(964\) | 15803.7 | − | 18605.5i | 0.528011 | − | 0.621623i | ||||
\(965\) | 21146.5 | − | 39886.6i | 0.705420 | − | 1.33056i | ||||
\(966\) | 6913.24 | + | 2329.34i | 0.230259 | + | 0.0775832i | ||||
\(967\) | −2117.62 | − | 39057.3i | −0.0704221 | − | 1.29886i | −0.793703 | − | 0.608305i | \(-0.791850\pi\) |
0.723281 | − | 0.690554i | \(-0.242633\pi\) | |||||||
\(968\) | −41.7491 | − | 25.1196i | −0.00138623 | − | 0.000834065i | ||||
\(969\) | −3554.60 | + | 12802.5i | −0.117843 | + | 0.424433i | ||||
\(970\) | −1950.19 | − | 7023.96i | −0.0645535 | − | 0.232501i | ||||
\(971\) | 11603.5 | − | 6981.62i | 0.383497 | − | 0.230742i | −0.310731 | − | 0.950498i | \(-0.600574\pi\) |
0.694227 | + | 0.719756i | \(0.255746\pi\) | |||||||
\(972\) | −1092.81 | − | 1611.77i | −0.0360615 | − | 0.0531867i | ||||
\(973\) | 25131.6 | + | 2733.23i | 0.828040 | + | 0.0900547i | ||||
\(974\) | −44903.5 | − | 4883.55i | −1.47721 | − | 0.160656i | ||||
\(975\) | −3718.97 | − | 5485.07i | −0.122156 | − | 0.180167i | ||||
\(976\) | −20312.8 | + | 12221.8i | −0.666185 | + | 0.400830i | ||||
\(977\) | 6428.81 | + | 23154.5i | 0.210518 | + | 0.758217i | 0.991095 | + | 0.133157i | \(0.0425116\pi\) |
−0.780577 | + | 0.625060i | \(0.785075\pi\) | |||||||
\(978\) | −5814.65 | + | 20942.5i | −0.190115 | + | 0.684731i | ||||
\(979\) | 28075.5 | + | 16892.5i | 0.916544 | + | 0.551466i | ||||
\(980\) | −95.5839 | − | 1762.94i | −0.00311563 | − | 0.0574644i | ||||
\(981\) | −407.439 | − | 137.282i | −0.0132605 | − | 0.00446798i | ||||
\(982\) | −9753.95 | + | 18397.9i | −0.316966 | + | 0.597862i | ||||
\(983\) | −868.175 | + | 1022.09i | −0.0281694 | + | 0.0331635i | −0.776066 | − | 0.630651i | \(-0.782788\pi\) |
0.747897 | + | 0.663815i | \(0.231064\pi\) | |||||||
\(984\) | −42.4882 | + | 62.6655i | −0.00137650 | + | 0.00203018i | ||||
\(985\) | −218.489 | + | 4029.80i | −0.00706766 | + | 0.130355i | ||||
\(986\) | 19594.6 | − | 49178.7i | 0.632879 | − | 1.58841i | ||||
\(987\) | −29986.9 | + | 13873.4i | −0.967064 | + | 0.447411i | ||||
\(988\) | −26487.1 | − | 5830.24i | −0.852900 | − | 0.187738i | ||||
\(989\) | 6545.79 | + | 12346.7i | 0.210459 | + | 0.396968i | ||||
\(990\) | 2325.72 | + | 14186.2i | 0.0746628 | + | 0.455423i | ||||
\(991\) | 30060.0 | + | 22851.0i | 0.963559 | + | 0.732478i | 0.963552 | − | 0.267522i | \(-0.0862047\pi\) |
6.82589e−6 | 1.00000i | \(0.499998\pi\) | ||||||||
\(992\) | −50487.5 | − | 23358.0i | −1.61591 | − | 0.747599i | ||||
\(993\) | −5897.02 | + | 5585.95i | −0.188455 | + | 0.178514i | ||||
\(994\) | −5984.01 | + | 36500.9i | −0.190947 | + | 1.16473i | ||||
\(995\) | 21544.8 | − | 7259.30i | 0.686450 | − | 0.231292i | ||||
\(996\) | −615.601 | − | 1545.04i | −0.0195844 | − | 0.0491531i | ||||
\(997\) | 42470.1 | + | 40229.8i | 1.34909 | + | 1.27792i | 0.928824 | + | 0.370521i | \(0.120821\pi\) |
0.420263 | + | 0.907402i | \(0.361938\pi\) | |||||||
\(998\) | 9903.95 | − | 7528.79i | 0.314132 | − | 0.238797i | ||||
\(999\) | −251.103 | + | 55.2721i | −0.00795252 | + | 0.00175048i |
(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 | 177.4.e.b.133.3 | yes | 420 | |
59.4 | even | 29 | inner | 177.4.e.b.4.3 | ✓ | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.e.b.4.3 | ✓ | 420 | 59.4 | even | 29 | inner | |
177.4.e.b.133.3 | yes | 420 | 1.1 | even | 1 | trivial |