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 | 7.2 | ||
Character | \(\chi\) | \(=\) | 177.7 |
Dual form | 177.4.e.b.76.2 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{9}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.57971 | − | 3.80479i | −0.912065 | − | 1.34519i | −0.938403 | − | 0.345542i | \(-0.887695\pi\) |
0.0263386 | − | 0.999653i | \(-0.491615\pi\) | |||||||
\(3\) | 0.162417 | − | 2.99560i | 0.0312571 | − | 0.576504i | ||||
\(4\) | −4.86039 | + | 12.1987i | −0.607549 | + | 1.52483i | ||||
\(5\) | −1.87335 | + | 0.866706i | −0.167558 | + | 0.0775206i | −0.501875 | − | 0.864940i | \(-0.667356\pi\) |
0.334317 | + | 0.942461i | \(0.391494\pi\) | |||||||
\(6\) | −11.8166 | + | 7.10982i | −0.804018 | + | 0.483762i | ||||
\(7\) | 0.688121 | − | 2.47839i | 0.0371551 | − | 0.133820i | −0.942646 | − | 0.333793i | \(-0.891671\pi\) |
0.979802 | + | 0.199972i | \(0.0640852\pi\) | |||||||
\(8\) | 23.0364 | − | 5.07071i | 1.01808 | − | 0.224096i | ||||
\(9\) | −8.94724 | − | 0.973071i | −0.331379 | − | 0.0360397i | ||||
\(10\) | 8.13034 | + | 4.89186i | 0.257104 | + | 0.154694i | ||||
\(11\) | −48.9029 | + | 46.3233i | −1.34043 | + | 1.26973i | −0.405870 | + | 0.913931i | \(0.633032\pi\) |
−0.934564 | + | 0.355796i | \(0.884210\pi\) | |||||||
\(12\) | 35.7529 | + | 16.5411i | 0.860081 | + | 0.397916i | ||||
\(13\) | 57.6303 | − | 6.26768i | 1.22952 | − | 0.133719i | 0.529793 | − | 0.848127i | \(-0.322270\pi\) |
0.699729 | + | 0.714409i | \(0.253304\pi\) | |||||||
\(14\) | −11.2049 | + | 3.77537i | −0.213902 | + | 0.0720721i | ||||
\(15\) | 2.29204 | + | 5.75259i | 0.0394535 | + | 0.0990208i | ||||
\(16\) | −2.45420 | − | 2.32474i | −0.0383469 | − | 0.0363241i | ||||
\(17\) | 24.6960 | + | 88.9470i | 0.352333 | + | 1.26899i | 0.901318 | + | 0.433158i | \(0.142601\pi\) |
−0.548985 | + | 0.835832i | \(0.684986\pi\) | |||||||
\(18\) | 19.3789 | + | 36.5526i | 0.253759 | + | 0.478640i | ||||
\(19\) | 85.5643 | − | 65.0443i | 1.03315 | − | 0.785378i | 0.0561049 | − | 0.998425i | \(-0.482132\pi\) |
0.977042 | + | 0.213047i | \(0.0683388\pi\) | |||||||
\(20\) | −1.46742 | − | 27.0650i | −0.0164062 | − | 0.302595i | ||||
\(21\) | −7.31250 | − | 2.46387i | −0.0759866 | − | 0.0256029i | ||||
\(22\) | 302.405 | + | 66.5644i | 2.93059 | + | 0.645072i | ||||
\(23\) | −55.8834 | + | 105.407i | −0.506630 | + | 0.955606i | 0.489852 | + | 0.871805i | \(0.337051\pi\) |
−0.996483 | + | 0.0838006i | \(0.973294\pi\) | |||||||
\(24\) | −11.4483 | − | 69.8315i | −0.0973698 | − | 0.593929i | ||||
\(25\) | −78.1650 | + | 92.0230i | −0.625320 | + | 0.736184i | ||||
\(26\) | −172.517 | − | 203.102i | −1.30128 | − | 1.53199i | ||||
\(27\) | −4.36811 | + | 26.6443i | −0.0311350 | + | 0.189915i | ||||
\(28\) | 26.8885 | + | 20.4401i | 0.181480 | + | 0.137958i | ||||
\(29\) | 143.576 | − | 211.759i | 0.919361 | − | 1.35596i | −0.0150984 | − | 0.999886i | \(-0.504806\pi\) |
0.934459 | − | 0.356070i | \(-0.115883\pi\) | |||||||
\(30\) | 15.9746 | − | 23.5607i | 0.0972181 | − | 0.143386i | ||||
\(31\) | −150.448 | − | 114.367i | −0.871652 | − | 0.662613i | 0.0706043 | − | 0.997504i | \(-0.477507\pi\) |
−0.942257 | + | 0.334891i | \(0.891300\pi\) | |||||||
\(32\) | 28.0148 | − | 170.883i | 0.154761 | − | 0.944002i | ||||
\(33\) | 130.823 | + | 154.017i | 0.690104 | + | 0.812453i | ||||
\(34\) | 274.716 | − | 323.421i | 1.38569 | − | 1.63136i | ||||
\(35\) | 0.858940 | + | 5.23930i | 0.00414821 | + | 0.0253029i | ||||
\(36\) | 55.3573 | − | 104.415i | 0.256284 | − | 0.483402i | ||||
\(37\) | −209.484 | − | 46.1110i | −0.930784 | − | 0.204881i | −0.276399 | − | 0.961043i | \(-0.589141\pi\) |
−0.654385 | + | 0.756162i | \(0.727072\pi\) | |||||||
\(38\) | −468.210 | − | 157.758i | −1.99878 | − | 0.673468i | ||||
\(39\) | −9.41532 | − | 173.655i | −0.0386579 | − | 0.713003i | ||||
\(40\) | −38.7606 | + | 29.4651i | −0.153215 | + | 0.116471i | ||||
\(41\) | 124.589 | + | 235.000i | 0.474573 | + | 0.895141i | 0.999044 | + | 0.0437121i | \(0.0139184\pi\) |
−0.524471 | + | 0.851429i | \(0.675737\pi\) | |||||||
\(42\) | 9.48963 | + | 34.1786i | 0.0348638 | + | 0.125568i | ||||
\(43\) | 384.303 | + | 364.031i | 1.36292 | + | 1.29103i | 0.918615 | + | 0.395154i | \(0.129309\pi\) |
0.444307 | + | 0.895874i | \(0.353450\pi\) | |||||||
\(44\) | −327.395 | − | 821.699i | −1.12174 | − | 2.81536i | ||||
\(45\) | 17.6047 | − | 5.93172i | 0.0583190 | − | 0.0196500i | ||||
\(46\) | 545.215 | − | 59.2957i | 1.74756 | − | 0.190058i | ||||
\(47\) | −295.213 | − | 136.580i | −0.916197 | − | 0.423878i | −0.0956229 | − | 0.995418i | \(-0.530484\pi\) |
−0.820574 | + | 0.571540i | \(0.806346\pi\) | |||||||
\(48\) | −7.36261 | + | 6.97423i | −0.0221396 | + | 0.0209717i | ||||
\(49\) | 288.233 | + | 173.424i | 0.840330 | + | 0.505610i | ||||
\(50\) | 551.771 | + | 60.0087i | 1.56064 | + | 0.169730i | ||||
\(51\) | 270.461 | − | 59.5329i | 0.742590 | − | 0.163456i | ||||
\(52\) | −203.649 | + | 733.476i | −0.543096 | + | 1.95606i | ||||
\(53\) | 205.327 | − | 123.541i | 0.532147 | − | 0.320182i | −0.223995 | − | 0.974590i | \(-0.571910\pi\) |
0.756141 | + | 0.654408i | \(0.227082\pi\) | |||||||
\(54\) | 112.644 | − | 52.1148i | 0.283870 | − | 0.131332i | ||||
\(55\) | 51.4638 | − | 129.164i | 0.126170 | − | 0.316664i | ||||
\(56\) | 3.28469 | − | 60.5825i | 0.00783812 | − | 0.144566i | ||||
\(57\) | −180.950 | − | 266.881i | −0.420480 | − | 0.620161i | ||||
\(58\) | −1176.08 | −2.66254 | ||||||||
\(59\) | 12.0188 | + | 453.028i | 0.0265205 | + | 0.999648i | ||||
\(60\) | −81.3141 | −0.174960 | ||||||||
\(61\) | 282.636 | + | 416.857i | 0.593244 | + | 0.874969i | 0.999243 | − | 0.0389043i | \(-0.0123867\pi\) |
−0.405999 | + | 0.913873i | \(0.633076\pi\) | |||||||
\(62\) | −47.0321 | + | 867.456i | −0.0963401 | + | 1.77689i | ||||
\(63\) | −8.56843 | + | 21.5051i | −0.0171353 | + | 0.0430063i | ||||
\(64\) | −746.986 | + | 345.592i | −1.45896 | + | 0.674985i | ||||
\(65\) | −102.530 | + | 61.6902i | −0.195650 | + | 0.117719i | ||||
\(66\) | 248.516 | − | 895.074i | 0.463488 | − | 1.66933i | ||||
\(67\) | 122.606 | − | 26.9877i | 0.223563 | − | 0.0492100i | −0.101776 | − | 0.994807i | \(-0.532453\pi\) |
0.325339 | + | 0.945597i | \(0.394522\pi\) | |||||||
\(68\) | −1205.07 | − | 131.059i | −2.14906 | − | 0.233724i | ||||
\(69\) | 306.682 | + | 184.524i | 0.535074 | + | 0.321944i | ||||
\(70\) | 17.7186 | − | 16.7839i | 0.0302540 | − | 0.0286581i | ||||
\(71\) | −255.374 | − | 118.149i | −0.426864 | − | 0.197488i | 0.194681 | − | 0.980867i | \(-0.437633\pi\) |
−0.621545 | + | 0.783378i | \(0.713495\pi\) | |||||||
\(72\) | −211.047 | + | 22.9527i | −0.345446 | + | 0.0375695i | ||||
\(73\) | −328.165 | + | 110.572i | −0.526147 | + | 0.177280i | −0.569825 | − | 0.821766i | \(-0.692989\pi\) |
0.0436778 | + | 0.999046i | \(0.486093\pi\) | |||||||
\(74\) | 364.966 | + | 915.996i | 0.573330 | + | 1.43895i | ||||
\(75\) | 262.969 | + | 249.097i | 0.404867 | + | 0.383510i | ||||
\(76\) | 377.577 | + | 1359.91i | 0.569883 | + | 2.05253i | ||||
\(77\) | 81.1560 | + | 153.076i | 0.120111 | + | 0.226554i | ||||
\(78\) | −636.433 | + | 483.804i | −0.923870 | + | 0.702308i | ||||
\(79\) | 29.1124 | + | 536.946i | 0.0414607 | + | 0.764698i | 0.943161 | + | 0.332336i | \(0.107837\pi\) |
−0.901700 | + | 0.432362i | \(0.857680\pi\) | |||||||
\(80\) | 6.61246 | + | 2.22800i | 0.00924119 | + | 0.00311372i | ||||
\(81\) | 79.1063 | + | 17.4126i | 0.108513 | + | 0.0238856i | ||||
\(82\) | 572.720 | − | 1080.26i | 0.771297 | − | 1.45482i | ||||
\(83\) | 128.203 | + | 782.001i | 0.169543 | + | 1.03417i | 0.925278 | + | 0.379289i | \(0.123831\pi\) |
−0.755736 | + | 0.654877i | \(0.772720\pi\) | |||||||
\(84\) | 65.5975 | − | 77.2273i | 0.0852056 | − | 0.100312i | ||||
\(85\) | −123.355 | − | 145.225i | −0.157409 | − | 0.185316i | ||||
\(86\) | 393.671 | − | 2401.28i | 0.493612 | − | 3.01090i | ||||
\(87\) | −611.027 | − | 464.491i | −0.752977 | − | 0.572398i | ||||
\(88\) | −891.657 | + | 1315.10i | −1.08012 | + | 1.59306i | ||||
\(89\) | −132.412 | + | 195.293i | −0.157704 | + | 0.232596i | −0.898330 | − | 0.439322i | \(-0.855219\pi\) |
0.740626 | + | 0.671918i | \(0.234529\pi\) | |||||||
\(90\) | −67.9840 | − | 51.6801i | −0.0796238 | − | 0.0605284i | ||||
\(91\) | 24.1229 | − | 147.143i | 0.0277887 | − | 0.169503i | ||||
\(92\) | −1014.21 | − | 1194.02i | −1.14934 | − | 1.35310i | ||||
\(93\) | −367.034 | + | 432.106i | −0.409244 | + | 0.481799i | ||||
\(94\) | 241.906 | + | 1475.56i | 0.265433 | + | 1.61907i | ||||
\(95\) | −103.918 | + | 196.010i | −0.112229 | + | 0.211686i | ||||
\(96\) | −507.346 | − | 111.675i | −0.539383 | − | 0.118727i | ||||
\(97\) | −117.215 | − | 39.4945i | −0.122695 | − | 0.0413408i | 0.257284 | − | 0.966336i | \(-0.417172\pi\) |
−0.379979 | + | 0.924995i | \(0.624069\pi\) | |||||||
\(98\) | −83.7159 | − | 1544.05i | −0.0862917 | − | 1.59156i | ||||
\(99\) | 482.622 | − | 366.880i | 0.489953 | − | 0.372452i | ||||
\(100\) | −742.645 | − | 1400.78i | −0.742645 | − | 1.40078i | ||||
\(101\) | 216.205 | + | 778.702i | 0.213002 | + | 0.767166i | 0.990409 | + | 0.138167i | \(0.0441211\pi\) |
−0.777406 | + | 0.628999i | \(0.783465\pi\) | |||||||
\(102\) | −924.220 | − | 875.468i | −0.897171 | − | 0.849846i | ||||
\(103\) | 645.125 | + | 1619.14i | 0.617146 | + | 1.54892i | 0.821612 | + | 0.570047i | \(0.193075\pi\) |
−0.204466 | + | 0.978874i | \(0.565546\pi\) | |||||||
\(104\) | 1295.82 | − | 436.611i | 1.22178 | − | 0.411666i | ||||
\(105\) | 15.8344 | − | 1.72209i | 0.0147169 | − | 0.00160056i | ||||
\(106\) | −999.729 | − | 462.524i | −0.916060 | − | 0.423814i | ||||
\(107\) | −834.561 | + | 790.538i | −0.754019 | + | 0.714245i | −0.964712 | − | 0.263308i | \(-0.915187\pi\) |
0.210693 | + | 0.977552i | \(0.432428\pi\) | |||||||
\(108\) | −303.794 | − | 182.787i | −0.270672 | − | 0.162858i | ||||
\(109\) | −343.987 | − | 37.4108i | −0.302275 | − | 0.0328744i | −0.0442752 | − | 0.999019i | \(-0.514098\pi\) |
−0.258000 | + | 0.966145i | \(0.583063\pi\) | |||||||
\(110\) | −624.204 | + | 137.398i | −0.541050 | + | 0.119094i | ||||
\(111\) | −172.154 | + | 620.042i | −0.147208 | + | 0.530196i | ||||
\(112\) | −7.45041 | + | 4.48276i | −0.00628569 | + | 0.00378197i | ||||
\(113\) | −88.1038 | + | 40.7612i | −0.0733461 | + | 0.0339335i | −0.456219 | − | 0.889867i | \(-0.650797\pi\) |
0.382873 | + | 0.923801i | \(0.374935\pi\) | |||||||
\(114\) | −548.626 | + | 1376.95i | −0.450733 | + | 1.13125i | ||||
\(115\) | 13.3323 | − | 245.900i | 0.0108108 | − | 0.199394i | ||||
\(116\) | 1885.34 | + | 2780.67i | 1.50905 | + | 2.22568i | ||||
\(117\) | −521.731 | −0.412257 | ||||||||
\(118\) | 1692.67 | − | 1214.41i | 1.32053 | − | 0.947419i | ||||
\(119\) | 237.439 | 0.182908 | ||||||||
\(120\) | 81.9702 | + | 120.897i | 0.0623568 | + | 0.0919694i | ||||
\(121\) | 173.588 | − | 3201.64i | 0.130419 | − | 2.40544i | ||||
\(122\) | 856.934 | − | 2150.74i | 0.635927 | − | 1.59606i | ||||
\(123\) | 724.200 | − | 335.051i | 0.530886 | − | 0.245614i | ||||
\(124\) | 2126.37 | − | 1279.39i | 1.53995 | − | 0.926555i | ||||
\(125\) | 135.701 | − | 488.749i | 0.0970995 | − | 0.349721i | ||||
\(126\) | 103.927 | − | 22.8760i | 0.0734803 | − | 0.0161742i | ||||
\(127\) | −611.766 | − | 66.5336i | −0.427444 | − | 0.0464874i | −0.108131 | − | 0.994137i | \(-0.534487\pi\) |
−0.319313 | + | 0.947649i | \(0.603452\pi\) | |||||||
\(128\) | 2054.90 | + | 1236.39i | 1.41898 | + | 0.853770i | ||||
\(129\) | 1152.91 | − | 1092.09i | 0.786884 | − | 0.745376i | ||||
\(130\) | 499.215 | + | 230.961i | 0.336800 | + | 0.155820i | ||||
\(131\) | 2581.17 | − | 280.719i | 1.72151 | − | 0.187225i | 0.806658 | − | 0.591019i | \(-0.201274\pi\) |
0.914850 | + | 0.403794i | \(0.132309\pi\) | |||||||
\(132\) | −2514.66 | + | 847.286i | −1.65813 | + | 0.558688i | ||||
\(133\) | −102.326 | − | 256.820i | −0.0667129 | − | 0.167437i | ||||
\(134\) | −418.970 | − | 396.870i | −0.270101 | − | 0.255853i | ||||
\(135\) | −14.9098 | − | 53.7001i | −0.00950540 | − | 0.0342353i | ||||
\(136\) | 1019.93 | + | 1923.80i | 0.643077 | + | 1.21297i | ||||
\(137\) | 166.582 | − | 126.632i | 0.103883 | − | 0.0789701i | −0.551943 | − | 0.833882i | \(-0.686113\pi\) |
0.655826 | + | 0.754912i | \(0.272320\pi\) | |||||||
\(138\) | −89.0742 | − | 1642.88i | −0.0549456 | − | 1.01341i | ||||
\(139\) | −935.072 | − | 315.063i | −0.570589 | − | 0.192254i | 0.0191940 | − | 0.999816i | \(-0.493890\pi\) |
−0.589783 | + | 0.807562i | \(0.700787\pi\) | |||||||
\(140\) | −68.0872 | − | 14.9871i | −0.0411030 | − | 0.00904746i | ||||
\(141\) | −457.087 | + | 862.158i | −0.273005 | + | 0.514942i | ||||
\(142\) | 209.261 | + | 1276.43i | 0.123667 | + | 0.754337i | ||||
\(143\) | −2527.95 | + | 2976.13i | −1.47831 | + | 1.74040i | ||||
\(144\) | 19.6962 | + | 23.1882i | 0.0113983 | + | 0.0134191i | ||||
\(145\) | −85.4364 | + | 521.139i | −0.0489318 | + | 0.298471i | ||||
\(146\) | 1267.27 | + | 963.354i | 0.718356 | + | 0.546080i | ||||
\(147\) | 566.323 | − | 835.264i | 0.317752 | − | 0.468649i | ||||
\(148\) | 1580.67 | − | 2331.31i | 0.877906 | − | 1.29481i | ||||
\(149\) | −679.307 | − | 516.396i | −0.373497 | − | 0.283925i | 0.401539 | − | 0.915842i | \(-0.368475\pi\) |
−0.775036 | + | 0.631917i | \(0.782268\pi\) | |||||||
\(150\) | 269.379 | − | 1643.14i | 0.146631 | − | 0.894411i | ||||
\(151\) | −2.34457 | − | 2.76024i | −0.00126357 | − | 0.00148758i | 0.761530 | − | 0.648130i | \(-0.224449\pi\) |
−0.762793 | + | 0.646642i | \(0.776173\pi\) | |||||||
\(152\) | 1641.28 | − | 1932.26i | 0.875823 | − | 1.03110i | ||||
\(153\) | −134.410 | − | 819.862i | −0.0710220 | − | 0.433215i | ||||
\(154\) | 373.064 | − | 703.673i | 0.195210 | − | 0.368205i | ||||
\(155\) | 380.965 | + | 83.8568i | 0.197418 | + | 0.0434551i | ||||
\(156\) | 2164.13 | + | 729.179i | 1.11070 | + | 0.374238i | ||||
\(157\) | −50.4668 | − | 930.806i | −0.0256541 | − | 0.473162i | −0.982929 | − | 0.183983i | \(-0.941101\pi\) |
0.957275 | − | 0.289178i | \(-0.0933821\pi\) | |||||||
\(158\) | 1967.86 | − | 1495.93i | 0.990853 | − | 0.753227i | ||||
\(159\) | −336.731 | − | 635.141i | −0.167953 | − | 0.316792i | ||||
\(160\) | 95.6234 | + | 344.404i | 0.0472481 | + | 0.170172i | ||||
\(161\) | 222.786 | + | 211.034i | 0.109056 | + | 0.103303i | ||||
\(162\) | −137.820 | − | 345.902i | −0.0668404 | − | 0.167757i | ||||
\(163\) | −3435.61 | + | 1157.59i | −1.65090 | + | 0.556254i | −0.982292 | − | 0.187357i | \(-0.940008\pi\) |
−0.668612 | + | 0.743611i | \(0.733111\pi\) | |||||||
\(164\) | −3472.23 | + | 377.628i | −1.65327 | + | 0.179804i | ||||
\(165\) | −378.566 | − | 175.143i | −0.178614 | − | 0.0826357i | ||||
\(166\) | 2644.62 | − | 2505.12i | 1.23652 | − | 1.17129i | ||||
\(167\) | 1307.97 | + | 786.977i | 0.606068 | + | 0.364659i | 0.785270 | − | 0.619153i | \(-0.212524\pi\) |
−0.179202 | + | 0.983812i | \(0.557352\pi\) | |||||||
\(168\) | −180.948 | − | 19.6792i | −0.0830976 | − | 0.00903741i | ||||
\(169\) | 1136.34 | − | 250.127i | 0.517222 | − | 0.113849i | ||||
\(170\) | −234.330 | + | 843.979i | −0.105719 | + | 0.380766i | ||||
\(171\) | −828.857 | + | 498.707i | −0.370668 | + | 0.223024i | ||||
\(172\) | −6308.56 | + | 2918.65i | −2.79664 | + | 1.29387i | ||||
\(173\) | 541.340 | − | 1358.66i | 0.237904 | − | 0.597093i | −0.760746 | − | 0.649050i | \(-0.775167\pi\) |
0.998649 | + | 0.0519571i | \(0.0165459\pi\) | |||||||
\(174\) | −191.016 | + | 3523.08i | −0.0832234 | + | 1.53496i | ||||
\(175\) | 174.282 | + | 257.046i | 0.0752826 | + | 0.111034i | ||||
\(176\) | 227.707 | 0.0975232 | ||||||||
\(177\) | 1359.04 | + | 37.5759i | 0.577130 | + | 0.0159569i | ||||
\(178\) | 1084.63 | 0.456723 | ||||||||
\(179\) | −1774.52 | − | 2617.22i | −0.740970 | − | 1.09285i | −0.992168 | − | 0.124913i | \(-0.960135\pi\) |
0.251198 | − | 0.967936i | \(-0.419176\pi\) | |||||||
\(180\) | −13.2068 | + | 243.585i | −0.00546875 | + | 0.100865i | ||||
\(181\) | −232.019 | + | 582.323i | −0.0952808 | + | 0.239137i | −0.968890 | − | 0.247491i | \(-0.920394\pi\) |
0.873609 | + | 0.486628i | \(0.161773\pi\) | |||||||
\(182\) | −622.079 | + | 287.804i | −0.253360 | + | 0.117217i | ||||
\(183\) | 1294.64 | − | 778.961i | 0.522966 | − | 0.314658i | ||||
\(184\) | −752.866 | + | 2711.58i | −0.301641 | + | 1.08641i | ||||
\(185\) | 432.403 | − | 95.1791i | 0.171843 | − | 0.0378254i | ||||
\(186\) | 2590.91 | + | 281.779i | 1.02137 | + | 0.111081i | ||||
\(187\) | −5328.03 | − | 3205.77i | −2.08355 | − | 1.25363i | ||||
\(188\) | 3100.95 | − | 2937.37i | 1.20298 | − | 1.13952i | ||||
\(189\) | 63.0292 | + | 29.1604i | 0.0242577 | + | 0.0112228i | ||||
\(190\) | 1013.85 | − | 110.263i | 0.387120 | − | 0.0421018i | ||||
\(191\) | −3099.04 | + | 1044.19i | −1.17403 | + | 0.395575i | −0.837679 | − | 0.546163i | \(-0.816088\pi\) |
−0.336347 | + | 0.941738i | \(0.609191\pi\) | |||||||
\(192\) | 913.934 | + | 2293.80i | 0.343529 | + | 0.862192i | ||||
\(193\) | 3542.10 | + | 3355.25i | 1.32107 | + | 1.25138i | 0.945914 | + | 0.324418i | \(0.105168\pi\) |
0.375153 | + | 0.926963i | \(0.377590\pi\) | |||||||
\(194\) | 152.114 | + | 547.864i | 0.0562944 | + | 0.202754i | ||||
\(195\) | 168.146 | + | 317.158i | 0.0617498 | + | 0.116473i | ||||
\(196\) | −3516.47 | + | 2673.15i | −1.28151 | + | 0.974180i | ||||
\(197\) | 7.55129 | + | 139.275i | 0.00273100 | + | 0.0503703i | 0.999581 | − | 0.0289365i | \(-0.00921207\pi\) |
−0.996850 | + | 0.0793068i | \(0.974729\pi\) | |||||||
\(198\) | −2640.92 | − | 889.830i | −0.947889 | − | 0.319381i | ||||
\(199\) | −621.527 | − | 136.808i | −0.221401 | − | 0.0487342i | 0.102884 | − | 0.994693i | \(-0.467193\pi\) |
−0.324286 | + | 0.945959i | \(0.605124\pi\) | |||||||
\(200\) | −1334.02 | + | 2516.23i | −0.471648 | + | 0.889623i | ||||
\(201\) | −60.9309 | − | 371.662i | −0.0213818 | − | 0.130423i | ||||
\(202\) | 2405.05 | − | 2831.44i | 0.837715 | − | 0.986234i | ||||
\(203\) | −426.024 | − | 501.554i | −0.147296 | − | 0.173410i | ||||
\(204\) | −588.323 | + | 3588.61i | −0.201916 | + | 1.23163i | ||||
\(205\) | −437.075 | − | 332.256i | −0.148910 | − | 0.113199i | ||||
\(206\) | 4496.25 | − | 6631.48i | 1.52072 | − | 2.24290i | ||||
\(207\) | 602.571 | − | 888.726i | 0.202327 | − | 0.298409i | ||||
\(208\) | −156.007 | − | 118.594i | −0.0520056 | − | 0.0395336i | ||||
\(209\) | −1171.28 | + | 7144.47i | −0.387650 | + | 2.36456i | ||||
\(210\) | −47.4002 | − | 55.8038i | −0.0155758 | − | 0.0183373i | ||||
\(211\) | 1350.27 | − | 1589.67i | 0.440553 | − | 0.518659i | −0.496410 | − | 0.868088i | \(-0.665349\pi\) |
0.936963 | + | 0.349429i | \(0.113624\pi\) | |||||||
\(212\) | 509.066 | + | 3105.17i | 0.164919 | + | 1.00596i | ||||
\(213\) | −395.403 | + | 745.810i | −0.127195 | + | 0.239916i | ||||
\(214\) | 5160.75 | + | 1135.97i | 1.64851 | + | 0.362865i | ||||
\(215\) | −1035.44 | − | 348.882i | −0.328450 | − | 0.110668i | ||||
\(216\) | 34.4797 | + | 635.940i | 0.0108613 | + | 0.200325i | ||||
\(217\) | −386.973 | + | 294.169i | −0.121057 | + | 0.0920255i | ||||
\(218\) | 745.046 | + | 1405.31i | 0.231472 | + | 0.436602i | ||||
\(219\) | 277.929 | + | 1001.01i | 0.0857565 | + | 0.308867i | ||||
\(220\) | 1325.50 | + | 1255.58i | 0.406205 | + | 0.384778i | ||||
\(221\) | 1980.73 | + | 4971.26i | 0.602889 | + | 1.51314i | ||||
\(222\) | 2803.23 | − | 944.519i | 0.847481 | − | 0.285550i | ||||
\(223\) | −2349.75 | + | 255.550i | −0.705609 | + | 0.0767396i | −0.453886 | − | 0.891060i | \(-0.649963\pi\) |
−0.251723 | + | 0.967799i | \(0.580997\pi\) | |||||||
\(224\) | −404.236 | − | 187.019i | −0.120577 | − | 0.0557846i | ||||
\(225\) | 788.906 | − | 747.292i | 0.233750 | − | 0.221420i | ||||
\(226\) | 382.370 | + | 230.064i | 0.112544 | + | 0.0677152i | ||||
\(227\) | −5616.51 | − | 610.832i | −1.64221 | − | 0.178601i | −0.760151 | − | 0.649746i | \(-0.774875\pi\) |
−0.882056 | + | 0.471145i | \(0.843841\pi\) | |||||||
\(228\) | 4135.07 | − | 910.198i | 1.20110 | − | 0.264383i | ||||
\(229\) | −1754.15 | + | 6317.88i | −0.506190 | + | 1.82313i | 0.0591171 | + | 0.998251i | \(0.481171\pi\) |
−0.565307 | + | 0.824881i | \(0.691242\pi\) | |||||||
\(230\) | −969.989 | + | 583.623i | −0.278083 | + | 0.167317i | ||||
\(231\) | 471.737 | − | 218.249i | 0.134364 | − | 0.0621632i | ||||
\(232\) | 2233.72 | − | 5606.22i | 0.632116 | − | 1.58649i | ||||
\(233\) | 152.768 | − | 2817.64i | 0.0429535 | − | 0.792231i | −0.895126 | − | 0.445812i | \(-0.852915\pi\) |
0.938080 | − | 0.346419i | \(-0.112602\pi\) | |||||||
\(234\) | 1345.92 | + | 1985.08i | 0.376005 | + | 0.554566i | ||||
\(235\) | 671.414 | 0.186375 | ||||||||
\(236\) | −5584.75 | − | 2055.28i | −1.54041 | − | 0.566896i | ||||
\(237\) | 1613.20 | 0.442147 | ||||||||
\(238\) | −612.524 | − | 903.405i | −0.166824 | − | 0.246046i | ||||
\(239\) | 360.046 | − | 6640.67i | 0.0974455 | − | 1.79728i | −0.386615 | − | 0.922241i | \(-0.626356\pi\) |
0.484060 | − | 0.875035i | \(-0.339162\pi\) | |||||||
\(240\) | 7.74816 | − | 19.4464i | 0.00208392 | − | 0.00523025i | ||||
\(241\) | 5114.78 | − | 2366.35i | 1.36710 | − | 0.632489i | 0.407333 | − | 0.913280i | \(-0.366459\pi\) |
0.959769 | + | 0.280791i | \(0.0905966\pi\) | |||||||
\(242\) | −12629.3 | + | 7598.82i | −3.35473 | + | 2.01847i | ||||
\(243\) | 65.0094 | − | 234.143i | 0.0171620 | − | 0.0618118i | ||||
\(244\) | −6458.83 | + | 1421.70i | −1.69461 | + | 0.373011i | ||||
\(245\) | −690.271 | − | 75.0714i | −0.179999 | − | 0.0195761i | ||||
\(246\) | −3143.02 | − | 1891.09i | −0.814600 | − | 0.490129i | ||||
\(247\) | 4523.42 | − | 4284.81i | 1.16526 | − | 1.10379i | ||||
\(248\) | −4045.71 | − | 1871.74i | −1.03590 | − | 0.479257i | ||||
\(249\) | 2363.38 | − | 257.034i | 0.601500 | − | 0.0654170i | ||||
\(250\) | −2209.65 | + | 744.519i | −0.559003 | + | 0.188350i | ||||
\(251\) | 2258.91 | + | 5669.43i | 0.568051 | + | 1.42570i | 0.879711 | + | 0.475508i | \(0.157736\pi\) |
−0.311660 | + | 0.950194i | \(0.600885\pi\) | |||||||
\(252\) | −220.688 | − | 209.047i | −0.0551668 | − | 0.0522568i | ||||
\(253\) | −2149.95 | − | 7743.42i | −0.534254 | − | 1.92421i | ||||
\(254\) | 1325.03 | + | 2499.28i | 0.327322 | + | 0.617396i | ||||
\(255\) | −455.072 | + | 345.936i | −0.111756 | + | 0.0849544i | ||||
\(256\) | −240.360 | − | 4433.18i | −0.0586817 | − | 1.08232i | ||||
\(257\) | 3124.54 | + | 1052.78i | 0.758380 | + | 0.255528i | 0.671816 | − | 0.740718i | \(-0.265515\pi\) |
0.0865644 | + | 0.996246i | \(0.472411\pi\) | |||||||
\(258\) | −7129.35 | − | 1569.29i | −1.72036 | − | 0.378681i | ||||
\(259\) | −258.432 | + | 487.454i | −0.0620006 | + | 0.116946i | ||||
\(260\) | −254.202 | − | 1550.57i | −0.0606344 | − | 0.369854i | ||||
\(261\) | −1490.67 | + | 1754.95i | −0.353525 | + | 0.416202i | ||||
\(262\) | −7726.73 | − | 9096.61i | −1.82198 | − | 2.14500i | ||||
\(263\) | 723.094 | − | 4410.68i | 0.169536 | − | 1.03412i | −0.755752 | − | 0.654858i | \(-0.772729\pi\) |
0.925288 | − | 0.379265i | \(-0.123823\pi\) | |||||||
\(264\) | 3794.68 | + | 2884.64i | 0.884646 | + | 0.672490i | ||||
\(265\) | −277.576 | + | 409.394i | −0.0643447 | + | 0.0949014i | ||||
\(266\) | −713.172 | + | 1051.85i | −0.164389 | + | 0.242455i | ||||
\(267\) | 563.515 | + | 428.373i | 0.129163 | + | 0.0981872i | ||||
\(268\) | −266.701 | + | 1626.80i | −0.0607886 | + | 0.370794i | ||||
\(269\) | −1909.53 | − | 2248.07i | −0.432810 | − | 0.509544i | 0.501914 | − | 0.864918i | \(-0.332629\pi\) |
−0.934724 | + | 0.355374i | \(0.884354\pi\) | |||||||
\(270\) | −165.855 | + | 195.259i | −0.0373837 | + | 0.0440115i | ||||
\(271\) | −45.6397 | − | 278.390i | −0.0102303 | − | 0.0624021i | 0.981218 | − | 0.192902i | \(-0.0617900\pi\) |
−0.991448 | + | 0.130500i | \(0.958342\pi\) | |||||||
\(272\) | 146.170 | − | 275.706i | 0.0325840 | − | 0.0614600i | ||||
\(273\) | −436.865 | − | 96.1612i | −0.0968507 | − | 0.0213185i | ||||
\(274\) | −911.540 | − | 307.134i | −0.200979 | − | 0.0677176i | ||||
\(275\) | −440.310 | − | 8121.05i | −0.0965517 | − | 1.78079i | ||||
\(276\) | −3741.54 | + | 2844.25i | −0.815994 | + | 0.620303i | ||||
\(277\) | −3504.25 | − | 6609.73i | −0.760109 | − | 1.43372i | −0.896491 | − | 0.443062i | \(-0.853892\pi\) |
0.136382 | − | 0.990656i | \(-0.456453\pi\) | |||||||
\(278\) | 1213.47 | + | 4370.52i | 0.261795 | + | 0.942901i | ||||
\(279\) | 1234.81 | + | 1169.67i | 0.264967 | + | 0.250990i | ||||
\(280\) | 46.3539 | + | 116.339i | 0.00989347 | + | 0.0248307i | ||||
\(281\) | 858.643 | − | 289.311i | 0.182286 | − | 0.0614193i | −0.226678 | − | 0.973970i | \(-0.572787\pi\) |
0.408964 | + | 0.912550i | \(0.365890\pi\) | |||||||
\(282\) | 4459.48 | − | 484.997i | 0.941695 | − | 0.102416i | ||||
\(283\) | 2280.61 | + | 1055.12i | 0.479039 | + | 0.221627i | 0.644522 | − | 0.764585i | \(-0.277056\pi\) |
−0.165483 | + | 0.986213i | \(0.552918\pi\) | |||||||
\(284\) | 2682.47 | − | 2540.97i | 0.560477 | − | 0.530912i | ||||
\(285\) | 570.290 | + | 343.132i | 0.118530 | + | 0.0713171i | ||||
\(286\) | 17844.9 | + | 1940.75i | 3.68948 | + | 0.401256i | ||||
\(287\) | 668.152 | − | 147.071i | 0.137421 | − | 0.0302486i | ||||
\(288\) | −416.936 | + | 1501.67i | −0.0853062 | + | 0.307245i | ||||
\(289\) | −3091.94 | + | 1860.36i | −0.629339 | + | 0.378661i | ||||
\(290\) | 2203.22 | − | 1019.32i | 0.446130 | − | 0.206402i | ||||
\(291\) | −137.347 | + | 344.716i | −0.0276682 | + | 0.0694419i | ||||
\(292\) | 246.184 | − | 4540.59i | 0.0493384 | − | 0.909993i | ||||
\(293\) | 1306.04 | + | 1926.26i | 0.260408 | + | 0.384073i | 0.935307 | − | 0.353837i | \(-0.115123\pi\) |
−0.674899 | + | 0.737910i | \(0.735813\pi\) | |||||||
\(294\) | −4638.95 | −0.920235 | ||||||||
\(295\) | −415.158 | − | 838.266i | −0.0819370 | − | 0.165443i | ||||
\(296\) | −5059.59 | −0.993522 | ||||||||
\(297\) | −1020.64 | − | 1505.33i | −0.199406 | − | 0.294101i | ||||
\(298\) | −212.361 | + | 3916.77i | −0.0412810 | + | 0.761384i | ||||
\(299\) | −2559.92 | + | 6424.92i | −0.495131 | + | 1.24268i | ||||
\(300\) | −4316.78 | + | 1997.16i | −0.830765 | + | 0.384353i | ||||
\(301\) | 1166.66 | − | 701.955i | 0.223405 | − | 0.134419i | ||||
\(302\) | −4.45382 | + | 16.0412i | −0.000848637 | + | 0.00305651i | ||||
\(303\) | 2367.79 | − | 521.191i | 0.448931 | − | 0.0988173i | ||||
\(304\) | −361.203 | − | 39.2832i | −0.0681461 | − | 0.00741134i | ||||
\(305\) | −890.771 | − | 535.959i | −0.167231 | − | 0.100619i | ||||
\(306\) | −2772.66 | + | 2626.40i | −0.517982 | + | 0.490659i | ||||
\(307\) | −4357.57 | − | 2016.03i | −0.810097 | − | 0.374791i | −0.0292960 | − | 0.999571i | \(-0.509327\pi\) |
−0.780801 | + | 0.624780i | \(0.785189\pi\) | |||||||
\(308\) | −2261.78 | + | 245.983i | −0.418431 | + | 0.0455071i | ||||
\(309\) | 4955.08 | − | 1669.56i | 0.912249 | − | 0.307372i | ||||
\(310\) | −663.722 | − | 1665.82i | −0.121603 | − | 0.305200i | ||||
\(311\) | −4399.13 | − | 4167.08i | −0.802096 | − | 0.759786i | 0.172199 | − | 0.985062i | \(-0.444913\pi\) |
−0.974295 | + | 0.225276i | \(0.927672\pi\) | |||||||
\(312\) | −1097.45 | − | 3952.66i | −0.199138 | − | 0.717229i | ||||
\(313\) | 816.426 | + | 1539.94i | 0.147435 | + | 0.278092i | 0.946220 | − | 0.323525i | \(-0.104868\pi\) |
−0.798785 | + | 0.601617i | \(0.794523\pi\) | |||||||
\(314\) | −3411.33 | + | 2593.22i | −0.613097 | + | 0.466064i | ||||
\(315\) | −2.58693 | − | 47.7131i | −0.000462720 | − | 0.00853437i | ||||
\(316\) | −6691.52 | − | 2254.64i | −1.19123 | − | 0.401371i | ||||
\(317\) | 3047.71 | + | 670.851i | 0.539989 | + | 0.118860i | 0.476586 | − | 0.879128i | \(-0.341874\pi\) |
0.0634021 | + | 0.997988i | \(0.479805\pi\) | |||||||
\(318\) | −1547.91 | + | 2919.67i | −0.272964 | + | 0.514864i | ||||
\(319\) | 2788.09 | + | 17006.6i | 0.489351 | + | 2.98491i | ||||
\(320\) | 1099.84 | − | 1294.83i | 0.192135 | − | 0.226198i | ||||
\(321\) | 2232.59 | + | 2628.41i | 0.388196 | + | 0.457020i | ||||
\(322\) | 228.216 | − | 1392.06i | 0.0394969 | − | 0.240920i | ||||
\(323\) | 7898.59 | + | 6004.35i | 1.36065 | + | 1.03434i | ||||
\(324\) | −596.898 | + | 880.359i | −0.102349 | + | 0.150953i | ||||
\(325\) | −3927.91 | + | 5793.23i | −0.670403 | + | 0.988771i | ||||
\(326\) | 13267.2 | + | 10085.5i | 2.25400 | + | 1.71345i | ||||
\(327\) | −167.937 | + | 1024.37i | −0.0284004 | + | 0.173235i | ||||
\(328\) | 4061.70 | + | 4781.80i | 0.683749 | + | 0.804972i | ||||
\(329\) | −541.641 | + | 637.669i | −0.0907649 | + | 0.106857i | ||||
\(330\) | 310.207 | + | 1892.18i | 0.0517465 | + | 0.315640i | ||||
\(331\) | 2365.30 | − | 4461.42i | 0.392775 | − | 0.740852i | −0.605721 | − | 0.795677i | \(-0.707115\pi\) |
0.998496 | + | 0.0548250i | \(0.0174601\pi\) | |||||||
\(332\) | −10162.5 | − | 2236.93i | −1.67994 | − | 0.369782i | ||||
\(333\) | 1829.44 | + | 616.409i | 0.301059 | + | 0.101438i | ||||
\(334\) | −379.892 | − | 7006.70i | −0.0622359 | − | 1.14787i | ||||
\(335\) | −206.294 | + | 156.821i | −0.0336450 | + | 0.0255762i | ||||
\(336\) | 12.2185 | + | 23.0465i | 0.00198385 | + | 0.00374194i | ||||
\(337\) | −16.3602 | − | 58.9240i | −0.00264450 | − | 0.00952461i | 0.962216 | − | 0.272287i | \(-0.0877801\pi\) |
−0.964860 | + | 0.262763i | \(0.915366\pi\) | |||||||
\(338\) | −3883.10 | − | 3678.27i | −0.624890 | − | 0.591927i | ||||
\(339\) | 107.795 | + | 270.544i | 0.0172702 | + | 0.0433449i | ||||
\(340\) | 2371.11 | − | 798.919i | 0.378210 | − | 0.127434i | ||||
\(341\) | 12655.2 | − | 1376.34i | 2.00973 | − | 0.218571i | ||||
\(342\) | 4035.68 | + | 1867.10i | 0.638084 | + | 0.295209i | ||||
\(343\) | 1268.66 | − | 1201.74i | 0.199712 | − | 0.189177i | ||||
\(344\) | 10698.9 | + | 6437.30i | 1.67687 | + | 1.00894i | ||||
\(345\) | −734.452 | − | 79.8765i | −0.114613 | − | 0.0124649i | ||||
\(346\) | −6565.91 | + | 1445.27i | −1.02019 | + | 0.224561i | ||||
\(347\) | −1545.47 | + | 5566.29i | −0.239093 | + | 0.861136i | 0.742451 | + | 0.669901i | \(0.233663\pi\) |
−0.981544 | + | 0.191236i | \(0.938750\pi\) | |||||||
\(348\) | 8636.00 | − | 5196.11i | 1.33028 | − | 0.800404i | ||||
\(349\) | 8312.37 | − | 3845.71i | 1.27493 | − | 0.589846i | 0.338589 | − | 0.940934i | \(-0.390050\pi\) |
0.936342 | + | 0.351088i | \(0.114188\pi\) | |||||||
\(350\) | 528.410 | − | 1326.21i | 0.0806991 | − | 0.202540i | ||||
\(351\) | −84.7379 | + | 1562.90i | −0.0128860 | + | 0.237668i | ||||
\(352\) | 6545.84 | + | 9654.39i | 0.991177 | + | 1.46188i | ||||
\(353\) | −941.280 | −0.141924 | −0.0709622 | − | 0.997479i | \(-0.522607\pi\) | ||||
−0.0709622 | + | 0.997479i | \(0.522607\pi\) | |||||||
\(354\) | −3362.97 | − | 5267.80i | −0.504914 | − | 0.790906i | ||||
\(355\) | 580.807 | 0.0868338 | ||||||||
\(356\) | −1738.74 | − | 2564.45i | −0.258857 | − | 0.381786i | ||||
\(357\) | 38.5641 | − | 711.273i | 0.00571717 | − | 0.105447i | ||||
\(358\) | −5380.21 | + | 13503.3i | −0.794282 | + | 1.99350i | ||||
\(359\) | 9328.09 | − | 4315.64i | 1.37136 | − | 0.634458i | 0.410593 | − | 0.911819i | \(-0.365322\pi\) |
0.960766 | + | 0.277360i | \(0.0894595\pi\) | |||||||
\(360\) | 375.472 | − | 225.914i | 0.0549698 | − | 0.0330742i | ||||
\(361\) | 1255.51 | − | 4521.94i | 0.183046 | − | 0.659271i | ||||
\(362\) | 2814.16 | − | 619.443i | 0.408588 | − | 0.0899370i | ||||
\(363\) | −9562.63 | − | 1040.00i | −1.38267 | − | 0.150374i | ||||
\(364\) | 1677.70 | + | 1009.44i | 0.241581 | + | 0.145355i | ||||
\(365\) | 518.936 | − | 491.562i | 0.0744173 | − | 0.0704919i | ||||
\(366\) | −6303.58 | − | 2916.35i | −0.900255 | − | 0.416502i | ||||
\(367\) | −13244.5 | + | 1440.42i | −1.88380 | + | 0.204876i | −0.976488 | − | 0.215573i | \(-0.930838\pi\) |
−0.907316 | + | 0.420449i | \(0.861872\pi\) | |||||||
\(368\) | 382.194 | − | 128.776i | 0.0541392 | − | 0.0182416i | ||||
\(369\) | −886.055 | − | 2223.83i | −0.125003 | − | 0.313735i | ||||
\(370\) | −1477.61 | − | 1399.67i | −0.207614 | − | 0.196663i | ||||
\(371\) | −164.893 | − | 593.890i | −0.0230750 | − | 0.0831085i | ||||
\(372\) | −3487.19 | − | 6577.54i | −0.486028 | − | 0.916746i | ||||
\(373\) | −3376.41 | + | 2566.68i | −0.468697 | + | 0.356294i | −0.812708 | − | 0.582672i | \(-0.802007\pi\) |
0.344011 | + | 0.938966i | \(0.388214\pi\) | |||||||
\(374\) | 1547.50 | + | 28541.9i | 0.213955 | + | 3.94617i | ||||
\(375\) | −1442.06 | − | 485.886i | −0.198580 | − | 0.0669094i | ||||
\(376\) | −7493.22 | − | 1649.38i | −1.02775 | − | 0.226225i | ||||
\(377\) | 6947.12 | − | 13103.7i | 0.949058 | − | 1.79011i | ||||
\(378\) | −51.6478 | − | 315.038i | −0.00702772 | − | 0.0428672i | ||||
\(379\) | 3234.29 | − | 3807.70i | 0.438349 | − | 0.516064i | −0.497980 | − | 0.867189i | \(-0.665925\pi\) |
0.936329 | + | 0.351124i | \(0.114201\pi\) | |||||||
\(380\) | −1885.98 | − | 2220.35i | −0.254602 | − | 0.299740i | ||||
\(381\) | −298.669 | + | 1821.80i | −0.0401608 | + | 0.244970i | ||||
\(382\) | 11967.5 | + | 9097.49i | 1.60291 | + | 1.21850i | ||||
\(383\) | 3418.42 | − | 5041.79i | 0.456065 | − | 0.672646i | −0.528245 | − | 0.849092i | \(-0.677150\pi\) |
0.984310 | + | 0.176446i | \(0.0564601\pi\) | |||||||
\(384\) | 4037.48 | − | 5954.84i | 0.536555 | − | 0.791359i | ||||
\(385\) | −284.706 | − | 216.428i | −0.0376882 | − | 0.0286498i | ||||
\(386\) | 3628.44 | − | 22132.5i | 0.478453 | − | 2.91843i | ||||
\(387\) | −3084.22 | − | 3631.03i | −0.405116 | − | 0.476939i | ||||
\(388\) | 1051.49 | − | 1237.91i | 0.137581 | − | 0.161973i | ||||
\(389\) | 657.783 | + | 4012.30i | 0.0857351 | + | 0.522961i | 0.994421 | + | 0.105481i | \(0.0336383\pi\) |
−0.908686 | + | 0.417480i | \(0.862913\pi\) | |||||||
\(390\) | 772.949 | − | 1457.94i | 0.100358 | − | 0.189296i | ||||
\(391\) | −10755.8 | − | 2367.52i | −1.39116 | − | 0.306217i | ||||
\(392\) | 7519.25 | + | 2533.53i | 0.968825 | + | 0.326435i | ||||
\(393\) | −421.697 | − | 7777.73i | −0.0541267 | − | 0.998307i | ||||
\(394\) | 510.432 | − | 388.021i | 0.0652670 | − | 0.0496147i | ||||
\(395\) | −519.912 | − | 980.659i | −0.0662269 | − | 0.124917i | ||||
\(396\) | 2129.71 | + | 7670.52i | 0.270257 | + | 0.973379i | ||||
\(397\) | 1289.74 | + | 1221.71i | 0.163048 | + | 0.154447i | 0.764874 | − | 0.644180i | \(-0.222801\pi\) |
−0.601826 | + | 0.798627i | \(0.705560\pi\) | |||||||
\(398\) | 1082.83 | + | 2717.70i | 0.136376 | + | 0.342277i | ||||
\(399\) | −785.949 | + | 264.817i | −0.0986132 | + | 0.0332267i | ||||
\(400\) | 405.762 | − | 44.1293i | 0.0507203 | − | 0.00551617i | ||||
\(401\) | 224.110 | + | 103.684i | 0.0279090 | + | 0.0129121i | 0.433794 | − | 0.901012i | \(-0.357175\pi\) |
−0.405885 | + | 0.913924i | \(0.633037\pi\) | |||||||
\(402\) | −1256.91 | + | 1190.61i | −0.155943 | + | 0.147717i | ||||
\(403\) | −9387.18 | − | 5648.08i | −1.16032 | − | 0.698141i | ||||
\(404\) | −10550.0 | − | 1147.38i | −1.29921 | − | 0.141297i | ||||
\(405\) | −163.286 | + | 35.9419i | −0.0200339 | + | 0.00440980i | ||||
\(406\) | −809.288 | + | 2914.79i | −0.0989269 | + | 0.356302i | ||||
\(407\) | 12380.4 | − | 7449.04i | 1.50780 | − | 0.907212i | ||||
\(408\) | 5928.58 | − | 2742.85i | 0.719384 | − | 0.332822i | ||||
\(409\) | −2203.61 | + | 5530.65i | −0.266410 | + | 0.668638i | −0.999939 | − | 0.0110194i | \(-0.996492\pi\) |
0.733529 | + | 0.679658i | \(0.237872\pi\) | |||||||
\(410\) | −136.636 | + | 2520.10i | −0.0164584 | + | 0.303558i | ||||
\(411\) | −352.283 | − | 519.579i | −0.0422795 | − | 0.0623575i | ||||
\(412\) | −22886.9 | −2.73679 | ||||||||
\(413\) | 1131.05 | + | 281.951i | 0.134759 | + | 0.0335930i | ||||
\(414\) | −4935.87 | −0.585954 | ||||||||
\(415\) | −917.934 | − | 1353.85i | −0.108577 | − | 0.160140i | ||||
\(416\) | 543.464 | − | 10023.6i | 0.0640518 | − | 1.18137i | ||||
\(417\) | −1095.67 | + | 2749.93i | −0.128670 | + | 0.322937i | ||||
\(418\) | 30204.7 | − | 13974.2i | 3.53436 | − | 1.63517i | ||||
\(419\) | 7994.70 | − | 4810.25i | 0.932140 | − | 0.560850i | 0.0334529 | − | 0.999440i | \(-0.489350\pi\) |
0.898687 | + | 0.438590i | \(0.144522\pi\) | |||||||
\(420\) | −55.9540 | + | 201.528i | −0.00650065 | + | 0.0234132i | ||||
\(421\) | 1595.00 | − | 351.086i | 0.184645 | − | 0.0406435i | −0.121685 | − | 0.992569i | \(-0.538830\pi\) |
0.306330 | + | 0.951925i | \(0.400899\pi\) | |||||||
\(422\) | −9531.65 | − | 1036.63i | −1.09951 | − | 0.119579i | ||||
\(423\) | 2508.44 | + | 1509.28i | 0.288332 | + | 0.173484i | ||||
\(424\) | 4103.56 | − | 3887.09i | 0.470015 | − | 0.445222i | ||||
\(425\) | −10115.5 | − | 4679.95i | −1.15453 | − | 0.534143i | ||||
\(426\) | 3857.67 | − | 419.547i | 0.438744 | − | 0.0477162i | ||||
\(427\) | 1227.62 | − | 413.634i | 0.139131 | − | 0.0468786i | ||||
\(428\) | −5587.21 | − | 14022.8i | −0.631000 | − | 1.58369i | ||||
\(429\) | 8504.72 | + | 8056.10i | 0.957138 | + | 0.906649i | ||||
\(430\) | 1343.72 | + | 4839.65i | 0.150698 | + | 0.542765i | ||||
\(431\) | 3905.14 | + | 7365.88i | 0.436437 | + | 0.823207i | 0.999996 | − | 0.00286884i | \(-0.000913182\pi\) |
−0.563559 | + | 0.826076i | \(0.690568\pi\) | |||||||
\(432\) | 72.6614 | − | 55.2358i | 0.00809242 | − | 0.00615170i | ||||
\(433\) | 253.652 | + | 4678.34i | 0.0281518 | + | 0.519230i | 0.978269 | + | 0.207338i | \(0.0664800\pi\) |
−0.950118 | + | 0.311892i | \(0.899037\pi\) | |||||||
\(434\) | 2117.53 | + | 713.479i | 0.234204 | + | 0.0789126i | ||||
\(435\) | 1547.25 | + | 340.575i | 0.170540 | + | 0.0375387i | ||||
\(436\) | 2128.27 | − | 4014.35i | 0.233775 | − | 0.440946i | ||||
\(437\) | 2074.52 | + | 12654.0i | 0.227088 | + | 1.38518i | ||||
\(438\) | 3091.65 | − | 3639.77i | 0.337271 | − | 0.397066i | ||||
\(439\) | −5533.53 | − | 6514.57i | −0.601596 | − | 0.708254i | 0.374098 | − | 0.927389i | \(-0.377952\pi\) |
−0.975695 | + | 0.219135i | \(0.929676\pi\) | |||||||
\(440\) | 530.588 | − | 3236.45i | 0.0574882 | − | 0.350662i | ||||
\(441\) | −2410.14 | − | 1832.14i | −0.260246 | − | 0.197834i | ||||
\(442\) | 13804.9 | − | 20360.7i | 1.48559 | − | 2.19108i | ||||
\(443\) | 4283.36 | − | 6317.49i | 0.459388 | − | 0.677546i | −0.525489 | − | 0.850800i | \(-0.676118\pi\) |
0.984877 | + | 0.173254i | \(0.0554281\pi\) | |||||||
\(444\) | −6726.95 | − | 5113.69i | −0.719025 | − | 0.546588i | ||||
\(445\) | 78.7930 | − | 480.616i | 0.00839359 | − | 0.0511986i | ||||
\(446\) | 7033.98 | + | 8281.04i | 0.746791 | + | 0.879190i | ||||
\(447\) | −1657.25 | + | 1951.06i | −0.175358 | + | 0.206447i | ||||
\(448\) | 342.496 | + | 2089.13i | 0.0361192 | + | 0.220317i | ||||
\(449\) | 18.9365 | − | 35.7181i | 0.00199035 | − | 0.00375421i | −0.882515 | − | 0.470284i | \(-0.844151\pi\) |
0.884505 | + | 0.466530i | \(0.154496\pi\) | |||||||
\(450\) | −4878.43 | − | 1073.82i | −0.511048 | − | 0.112490i | ||||
\(451\) | −16978.7 | − | 5720.79i | −1.77272 | − | 0.597298i | ||||
\(452\) | −69.0127 | − | 1272.86i | −0.00718160 | − | 0.132457i | ||||
\(453\) | −8.64938 | + | 6.57508i | −0.000897093 | + | 0.000681952i | ||||
\(454\) | 12164.9 | + | 22945.4i | 1.25755 | + | 2.37198i | ||||
\(455\) | 82.3392 | + | 296.559i | 0.00848378 | + | 0.0305558i | ||||
\(456\) | −5521.71 | − | 5230.44i | −0.567056 | − | 0.537144i | ||||
\(457\) | 5110.70 | + | 12826.9i | 0.523125 | + | 1.31295i | 0.918861 | + | 0.394581i | \(0.129110\pi\) |
−0.395736 | + | 0.918364i | \(0.629510\pi\) | |||||||
\(458\) | 28563.4 | − | 9624.12i | 2.91415 | − | 0.981890i | ||||
\(459\) | −2477.81 | + | 269.478i | −0.251970 | + | 0.0274034i | ||||
\(460\) | 2934.85 | + | 1357.81i | 0.297474 | + | 0.137626i | ||||
\(461\) | 8479.83 | − | 8032.53i | 0.856714 | − | 0.811523i | −0.126880 | − | 0.991918i | \(-0.540496\pi\) |
0.983594 | + | 0.180395i | \(0.0577377\pi\) | |||||||
\(462\) | −2047.33 | − | 1231.84i | −0.206170 | − | 0.124048i | ||||
\(463\) | −1528.34 | − | 166.217i | −0.153408 | − | 0.0166842i | 0.0310926 | − | 0.999517i | \(-0.490101\pi\) |
−0.184501 | + | 0.982832i | \(0.559067\pi\) | |||||||
\(464\) | −844.652 | + | 185.922i | −0.0845085 | + | 0.0186017i | ||||
\(465\) | 313.076 | − | 1127.60i | 0.0312227 | − | 0.112454i | ||||
\(466\) | −11114.6 | + | 6687.44i | −1.10488 | + | 0.664785i | ||||
\(467\) | −6613.14 | + | 3059.56i | −0.655288 | + | 0.303169i | −0.719217 | − | 0.694786i | \(-0.755499\pi\) |
0.0639285 | + | 0.997954i | \(0.479637\pi\) | |||||||
\(468\) | 2535.82 | − | 6364.43i | 0.250466 | − | 0.628623i | ||||
\(469\) | 17.4820 | − | 322.436i | 0.00172120 | − | 0.0317457i | ||||
\(470\) | −1732.05 | − | 2554.59i | −0.169986 | − | 0.250711i | ||||
\(471\) | −2796.52 | −0.273581 | ||||||||
\(472\) | 2574.04 | + | 10375.2i | 0.251017 | + | 1.01178i | ||||
\(473\) | −35656.6 | −3.46616 | ||||||||
\(474\) | −4161.60 | − | 6137.90i | −0.403267 | − | 0.594774i | ||||
\(475\) | −702.566 | + | 12958.1i | −0.0678651 | + | 1.25170i | ||||
\(476\) | −1154.05 | + | 2896.44i | −0.111125 | + | 0.278904i | ||||
\(477\) | −1957.32 | + | 905.553i | −0.187882 | + | 0.0869233i | ||||
\(478\) | −26195.1 | + | 15761.1i | −2.50656 | + | 1.50815i | ||||
\(479\) | −622.259 | + | 2241.18i | −0.0593565 | + | 0.213783i | −0.987281 | − | 0.158986i | \(-0.949178\pi\) |
0.927924 | + | 0.372768i | \(0.121591\pi\) | |||||||
\(480\) | 1047.23 | − | 230.512i | 0.0995817 | − | 0.0219196i | ||||
\(481\) | −12361.7 | − | 1344.41i | −1.17182 | − | 0.127443i | ||||
\(482\) | −22198.1 | − | 13356.1i | −2.09771 | − | 1.26215i | ||||
\(483\) | 668.357 | − | 633.101i | 0.0629633 | − | 0.0596420i | ||||
\(484\) | 38212.0 | + | 17678.7i | 3.58865 | + | 1.66029i | ||||
\(485\) | 253.816 | − | 27.6042i | 0.0237633 | − | 0.00258441i | ||||
\(486\) | −1058.57 | + | 356.673i | −0.0988017 | + | 0.0332902i | ||||
\(487\) | −6609.69 | − | 16589.1i | −0.615018 | − | 1.54358i | −0.824557 | − | 0.565778i | \(-0.808576\pi\) |
0.209539 | − | 0.977800i | \(-0.432804\pi\) | |||||||
\(488\) | 8624.70 | + | 8169.75i | 0.800044 | + | 0.757842i | ||||
\(489\) | 2909.68 | + | 10479.7i | 0.269080 | + | 0.969139i | ||||
\(490\) | 1495.07 | + | 2819.99i | 0.137837 | + | 0.259988i | ||||
\(491\) | −6598.86 | + | 5016.32i | −0.606522 | + | 0.461066i | −0.862806 | − | 0.505536i | \(-0.831295\pi\) |
0.256284 | + | 0.966602i | \(0.417502\pi\) | |||||||
\(492\) | 567.274 | + | 10462.7i | 0.0519811 | + | 0.958734i | ||||
\(493\) | 22381.1 | + | 7541.08i | 2.04462 | + | 0.688911i | ||||
\(494\) | −27971.9 | − | 6157.08i | −2.54760 | − | 0.560770i | ||||
\(495\) | −586.145 | + | 1105.59i | −0.0532227 | + | 0.100389i | ||||
\(496\) | 103.354 | + | 630.433i | 0.00935634 | + | 0.0570712i | ||||
\(497\) | −468.547 | + | 551.616i | −0.0422881 | + | 0.0497854i | ||||
\(498\) | −7074.80 | − | 8329.10i | −0.636605 | − | 0.749470i | ||||
\(499\) | −1952.51 | + | 11909.8i | −0.175163 | + | 1.06845i | 0.742135 | + | 0.670250i | \(0.233813\pi\) |
−0.917299 | + | 0.398200i | \(0.869635\pi\) | |||||||
\(500\) | 5302.53 | + | 4030.88i | 0.474273 | + | 0.360533i | ||||
\(501\) | 2569.90 | − | 3790.32i | 0.229171 | − | 0.338002i | ||||
\(502\) | 15743.6 | − | 23220.1i | 1.39975 | − | 2.06447i | ||||
\(503\) | −17066.1 | − | 12973.3i | −1.51280 | − | 1.15000i | −0.945104 | − | 0.326769i | \(-0.894040\pi\) |
−0.567700 | − | 0.823235i | \(-0.692167\pi\) | |||||||
\(504\) | −88.3400 | + | 538.850i | −0.00780749 | + | 0.0476236i | ||||
\(505\) | −1079.94 | − | 1271.40i | −0.0951613 | − | 0.112033i | ||||
\(506\) | −23915.8 | + | 28155.9i | −2.10116 | + | 2.47368i | ||||
\(507\) | −564.720 | − | 3444.64i | −0.0494676 | − | 0.301739i | ||||
\(508\) | 3785.04 | − | 7139.35i | 0.330579 | − | 0.623538i | ||||
\(509\) | 3182.85 | + | 700.597i | 0.277165 | + | 0.0610087i | 0.351378 | − | 0.936234i | \(-0.385713\pi\) |
−0.0742124 | + | 0.997242i | \(0.523644\pi\) | |||||||
\(510\) | 2490.17 | + | 839.035i | 0.216209 | + | 0.0728492i | ||||
\(511\) | 48.2222 | + | 889.406i | 0.00417461 | + | 0.0769961i | ||||
\(512\) | −973.844 | + | 740.297i | −0.0840590 | + | 0.0639000i | ||||
\(513\) | 1359.31 | + | 2563.92i | 0.116988 | + | 0.220663i | ||||
\(514\) | −4054.81 | − | 14604.1i | −0.347957 | − | 1.25323i | ||||
\(515\) | −2611.87 | − | 2474.09i | −0.223481 | − | 0.211692i | ||||
\(516\) | 7718.49 | + | 19371.9i | 0.658503 | + | 1.65272i | ||||
\(517\) | 20763.6 | − | 6996.08i | 1.76631 | − | 0.595140i | ||||
\(518\) | 2521.33 | − | 274.212i | 0.213863 | − | 0.0232590i | ||||
\(519\) | −3982.08 | − | 1842.31i | −0.336790 | − | 0.155816i | ||||
\(520\) | −2049.11 | + | 1941.02i | −0.172807 | + | 0.163691i | ||||
\(521\) | 11445.9 | + | 6886.76i | 0.962483 | + | 0.579107i | 0.907803 | − | 0.419397i | \(-0.137759\pi\) |
0.0546801 | + | 0.998504i | \(0.482586\pi\) | |||||||
\(522\) | 10522.7 | + | 1144.41i | 0.882311 | + | 0.0959571i | ||||
\(523\) | −3417.48 | + | 752.244i | −0.285728 | + | 0.0628936i | −0.355522 | − | 0.934668i | \(-0.615697\pi\) |
0.0697937 | + | 0.997561i | \(0.477766\pi\) | |||||||
\(524\) | −9121.08 | + | 32851.2i | −0.760413 | + | 2.73876i | ||||
\(525\) | 798.314 | − | 480.330i | 0.0663643 | − | 0.0399301i | ||||
\(526\) | −18647.1 | + | 8627.05i | −1.54572 | + | 0.715128i | ||||
\(527\) | 6457.18 | − | 16206.3i | 0.533737 | − | 1.33958i | ||||
\(528\) | 36.9835 | − | 682.120i | 0.00304829 | − | 0.0562225i | ||||
\(529\) | −1159.78 | − | 1710.55i | −0.0953217 | − | 0.140589i | ||||
\(530\) | 2273.72 | 0.186347 | ||||||||
\(531\) | 333.294 | − | 4065.05i | 0.0272386 | − | 0.332219i | ||||
\(532\) | 3630.20 | 0.295845 | ||||||||
\(533\) | 8653.00 | + | 12762.2i | 0.703195 | + | 1.03714i | ||||
\(534\) | 176.163 | − | 3249.13i | 0.0142758 | − | 0.263303i | ||||
\(535\) | 878.264 | − | 2204.28i | 0.0709732 | − | 0.178129i | ||||
\(536\) | 2687.56 | − | 1243.40i | 0.216577 | − | 0.100199i | ||||
\(537\) | −8128.35 | + | 4890.66i | −0.653192 | + | 0.393012i | ||||
\(538\) | −3627.40 | + | 13064.7i | −0.290685 | + | 1.04695i | ||||
\(539\) | −22129.0 | + | 4870.96i | −1.76839 | + | 0.389253i | ||||
\(540\) | 727.537 | + | 79.1244i | 0.0579782 | + | 0.00630551i | ||||
\(541\) | −11984.0 | − | 7210.55i | −0.952372 | − | 0.573023i | −0.0475756 | − | 0.998868i | \(-0.515150\pi\) |
−0.904796 | + | 0.425844i | \(0.859977\pi\) | |||||||
\(542\) | −941.476 | + | 891.814i | −0.0746123 | + | 0.0706765i | ||||
\(543\) | 1706.72 | + | 789.615i | 0.134885 | + | 0.0624044i | ||||
\(544\) | 15891.4 | − | 1728.29i | 1.25246 | − | 0.136213i | ||||
\(545\) | 676.834 | − | 228.052i | 0.0531970 | − | 0.0179242i | ||||
\(546\) | 761.111 | + | 1910.24i | 0.0596566 | + | 0.149727i | ||||
\(547\) | 420.846 | + | 398.647i | 0.0328960 | + | 0.0311607i | 0.703971 | − | 0.710229i | \(-0.251409\pi\) |
−0.671075 | + | 0.741390i | \(0.734167\pi\) | |||||||
\(548\) | 735.090 | + | 2647.55i | 0.0573020 | + | 0.206383i | ||||
\(549\) | −2123.18 | − | 4004.75i | −0.165055 | − | 0.311327i | ||||
\(550\) | −29763.0 | + | 22625.2i | −2.30745 | + | 1.75408i | ||||
\(551\) | −1488.72 | − | 27457.9i | −0.115103 | − | 2.12295i | ||||
\(552\) | 8000.52 | + | 2695.69i | 0.616893 | + | 0.207855i | ||||
\(553\) | 1350.79 | + | 297.332i | 0.103873 | + | 0.0228641i | ||||
\(554\) | −16108.6 | + | 30384.1i | −1.23536 | + | 2.33014i | ||||
\(555\) | −214.889 | − | 1310.77i | −0.0164352 | − | 0.100250i | ||||
\(556\) | 8388.16 | − | 9875.31i | 0.639815 | − | 0.753249i | ||||
\(557\) | 2863.84 | + | 3371.57i | 0.217854 | + | 0.256478i | 0.860223 | − | 0.509918i | \(-0.170324\pi\) |
−0.642369 | + | 0.766396i | \(0.722048\pi\) | |||||||
\(558\) | 1264.90 | − | 7715.58i | 0.0959636 | − | 0.585352i | ||||
\(559\) | 24429.1 | + | 18570.6i | 1.84838 | + | 1.40510i | ||||
\(560\) | 10.0720 | − | 14.8551i | 0.000760036 | − | 0.00112097i | ||||
\(561\) | −10468.6 | + | 15440.0i | −0.787848 | + | 1.16199i | ||||
\(562\) | −3315.81 | − | 2520.62i | −0.248878 | − | 0.189192i | ||||
\(563\) | −1481.12 | + | 9034.44i | −0.110874 | + | 0.676299i | 0.871646 | + | 0.490137i | \(0.163053\pi\) |
−0.982519 | + | 0.186162i | \(0.940395\pi\) | |||||||
\(564\) | −8295.55 | − | 9766.28i | −0.619336 | − | 0.729139i | ||||
\(565\) | 129.722 | − | 152.720i | 0.00965918 | − | 0.0113717i | ||||
\(566\) | −1868.79 | − | 11399.1i | −0.138783 | − | 0.846540i | ||||
\(567\) | 97.5899 | − | 184.074i | 0.00722820 | − | 0.0136338i | ||||
\(568\) | −6482.01 | − | 1426.80i | −0.478836 | − | 0.105400i | ||||
\(569\) | −7218.07 | − | 2432.05i | −0.531805 | − | 0.179186i | 0.0405719 | − | 0.999177i | \(-0.487082\pi\) |
−0.572377 | + | 0.819991i | \(0.693979\pi\) | |||||||
\(570\) | −165.638 | − | 3055.01i | −0.0121716 | − | 0.224492i | ||||
\(571\) | −12915.9 | + | 9818.41i | −0.946608 | + | 0.719593i | −0.959907 | − | 0.280319i | \(-0.909560\pi\) |
0.0132986 | + | 0.999912i | \(0.495767\pi\) | |||||||
\(572\) | −24018.0 | − | 45302.8i | −1.75567 | − | 3.31155i | ||||
\(573\) | 2624.64 | + | 9453.09i | 0.191354 | + | 0.689195i | ||||
\(574\) | −2283.21 | − | 2162.78i | −0.166027 | − | 0.157269i | ||||
\(575\) | −5331.76 | − | 13381.7i | −0.386696 | − | 0.970533i | ||||
\(576\) | 7019.75 | − | 2365.23i | 0.507794 | − | 0.171096i | ||||
\(577\) | 9661.48 | − | 1050.75i | 0.697075 | − | 0.0758115i | 0.247281 | − | 0.968944i | \(-0.420463\pi\) |
0.449794 | + | 0.893132i | \(0.351497\pi\) | |||||||
\(578\) | 15054.6 | + | 6965.00i | 1.08337 | + | 0.501221i | ||||
\(579\) | 10626.3 | − | 10065.8i | 0.762718 | − | 0.722485i | ||||
\(580\) | −5941.94 | − | 3575.15i | −0.425389 | − | 0.255948i | ||||
\(581\) | 2026.32 | + | 220.376i | 0.144692 | + | 0.0157362i | ||||
\(582\) | 1665.89 | − | 366.689i | 0.118648 | − | 0.0261164i | ||||
\(583\) | −4318.24 | + | 15552.9i | −0.306764 | + | 1.10486i | ||||
\(584\) | −6999.07 | + | 4211.20i | −0.495931 | + | 0.298392i | ||||
\(585\) | 977.388 | − | 452.188i | 0.0690770 | − | 0.0319584i | ||||
\(586\) | 3959.82 | − | 9938.40i | 0.279144 | − | 0.700600i | ||||
\(587\) | −0.137147 | + | 2.52952i | −9.64337e−6 | + | 0.000177861i | −0.998538 | − | 0.0540500i | \(-0.982787\pi\) |
0.998529 | + | 0.0542278i | \(0.0172697\pi\) | |||||||
\(588\) | 7436.55 | + | 10968.1i | 0.521562 | + | 0.769246i | ||||
\(589\) | −20311.9 | −1.42095 | ||||||||
\(590\) | −2118.44 | + | 3742.07i | −0.147821 | + | 0.261116i | ||||
\(591\) | 418.440 | 0.0291240 | ||||||||
\(592\) | 406.921 | + | 600.163i | 0.0282506 | + | 0.0416665i | ||||
\(593\) | −356.824 | + | 6581.22i | −0.0247099 | + | 0.455748i | 0.959829 | + | 0.280584i | \(0.0905282\pi\) |
−0.984539 | + | 0.175164i | \(0.943955\pi\) | |||||||
\(594\) | −3094.50 | + | 7766.62i | −0.213753 | + | 0.536479i | ||||
\(595\) | −444.808 | + | 205.790i | −0.0306476 | + | 0.0141791i | ||||
\(596\) | 9601.04 | − | 5776.75i | 0.659855 | − | 0.397022i | ||||
\(597\) | −510.770 | + | 1839.63i | −0.0350158 | + | 0.126115i | ||||
\(598\) | 31049.3 | − | 6834.46i | 2.12324 | − | 0.467361i | ||||
\(599\) | 16600.6 | + | 1805.43i | 1.13236 | + | 0.123152i | 0.655052 | − | 0.755584i | \(-0.272647\pi\) |
0.477309 | + | 0.878736i | \(0.341612\pi\) | |||||||
\(600\) | 7320.96 | + | 4404.88i | 0.498128 | + | 0.299714i | ||||
\(601\) | 15210.8 | − | 14408.5i | 1.03238 | − | 0.977926i | 0.0326157 | − | 0.999468i | \(-0.489616\pi\) |
0.999768 | + | 0.0215422i | \(0.00685763\pi\) | |||||||
\(602\) | −5680.42 | − | 2628.04i | −0.384579 | − | 0.177925i | ||||
\(603\) | −1123.25 | + | 122.161i | −0.0758577 | + | 0.00825002i | ||||
\(604\) | 45.0668 | − | 15.1848i | 0.00303600 | − | 0.00102295i | ||||
\(605\) | 2449.69 | + | 6148.25i | 0.164618 | + | 0.413160i | ||||
\(606\) | −8091.24 | − | 7664.43i | −0.542383 | − | 0.513773i | ||||
\(607\) | 1021.17 | + | 3677.92i | 0.0682833 | + | 0.245934i | 0.989813 | − | 0.142374i | \(-0.0454735\pi\) |
−0.921530 | + | 0.388308i | \(0.873060\pi\) | |||||||
\(608\) | −8717.87 | − | 16443.6i | −0.581507 | − | 1.09684i | ||||
\(609\) | −1571.65 | + | 1194.74i | −0.104575 | + | 0.0794962i | ||||
\(610\) | 258.720 | + | 4771.81i | 0.0171726 | + | 0.316729i | ||||
\(611\) | −17869.3 | − | 6020.86i | −1.18316 | − | 0.398655i | ||||
\(612\) | 10654.5 | + | 2345.23i | 0.703730 | + | 0.154903i | ||||
\(613\) | −2580.15 | + | 4866.68i | −0.170002 | + | 0.320658i | −0.953844 | − | 0.300303i | \(-0.902912\pi\) |
0.783842 | + | 0.620960i | \(0.213257\pi\) | |||||||
\(614\) | 3570.71 | + | 21780.4i | 0.234694 | + | 1.43157i | ||||
\(615\) | −1066.29 | + | 1255.34i | −0.0699140 | + | 0.0823091i | ||||
\(616\) | 2645.75 | + | 3114.82i | 0.173052 | + | 0.203733i | ||||
\(617\) | −1366.87 | + | 8337.53i | −0.0891865 | + | 0.544013i | 0.904005 | + | 0.427521i | \(0.140613\pi\) |
−0.993192 | + | 0.116492i | \(0.962835\pi\) | |||||||
\(618\) | −19135.0 | − | 14546.0i | −1.24551 | − | 0.946809i | ||||
\(619\) | −8850.74 | + | 13053.9i | −0.574703 | + | 0.847624i | −0.998303 | − | 0.0582256i | \(-0.981456\pi\) |
0.423600 | + | 0.905849i | \(0.360766\pi\) | |||||||
\(620\) | −2874.58 | + | 4239.69i | −0.186203 | + | 0.274629i | ||||
\(621\) | −2564.40 | − | 1949.41i | −0.165710 | − | 0.125969i | ||||
\(622\) | −4506.37 | + | 27487.6i | −0.290496 | + | 1.77195i | ||||
\(623\) | 392.897 | + | 462.554i | 0.0252666 | + | 0.0297461i | ||||
\(624\) | −380.597 | + | 448.074i | −0.0244168 | + | 0.0287457i | ||||
\(625\) | −2272.30 | − | 13860.4i | −0.145427 | − | 0.887065i | ||||
\(626\) | 3753.01 | − | 7078.93i | 0.239618 | − | 0.451967i | ||||
\(627\) | 21211.7 | + | 4669.06i | 1.35106 | + | 0.297391i | ||||
\(628\) | 11599.9 | + | 3908.45i | 0.737079 | + | 0.248351i | ||||
\(629\) | −1071.99 | − | 19771.8i | −0.0679542 | − | 1.25334i | ||||
\(630\) | −174.865 | + | 132.929i | −0.0110584 | + | 0.00840635i | ||||
\(631\) | −2563.41 | − | 4835.10i | −0.161724 | − | 0.305043i | 0.789386 | − | 0.613898i | \(-0.210399\pi\) |
−0.951109 | + | 0.308854i | \(0.900054\pi\) | |||||||
\(632\) | 3393.34 | + | 12221.7i | 0.213576 | + | 0.769230i | ||||
\(633\) | −4542.70 | − | 4303.07i | −0.285239 | − | 0.270192i | ||||
\(634\) | −5309.75 | − | 13326.5i | −0.332614 | − | 0.834798i | ||||
\(635\) | 1203.72 | − | 405.580i | 0.0752254 | − | 0.0253464i | ||||
\(636\) | 9384.52 | − | 1020.63i | 0.585095 | − | 0.0636329i | ||||
\(637\) | 17697.9 | + | 8187.94i | 1.10081 | + | 0.509290i | ||||
\(638\) | 57513.9 | − | 54480.1i | 3.56896 | − | 3.38070i | ||||
\(639\) | 2169.93 | + | 1305.60i | 0.134336 | + | 0.0808276i | ||||
\(640\) | −4921.14 | − | 535.206i | −0.303946 | − | 0.0330561i | ||||
\(641\) | 23367.2 | − | 5143.51i | 1.43986 | − | 0.316937i | 0.574670 | − | 0.818385i | \(-0.305130\pi\) |
0.865188 | + | 0.501448i | \(0.167199\pi\) | |||||||
\(642\) | 4241.10 | − | 15275.0i | 0.260721 | − | 0.939031i | ||||
\(643\) | 5787.30 | − | 3482.11i | 0.354944 | − | 0.213563i | −0.326902 | − | 0.945058i | \(-0.606005\pi\) |
0.681846 | + | 0.731495i | \(0.261177\pi\) | |||||||
\(644\) | −3657.16 | + | 1691.98i | −0.223777 | + | 0.103530i | ||||
\(645\) | −1213.28 | + | 3045.11i | −0.0740666 | + | 0.185893i | ||||
\(646\) | 2469.21 | − | 45541.9i | 0.150387 | − | 2.77372i | ||||
\(647\) | 8107.68 | + | 11957.9i | 0.492652 | + | 0.726608i | 0.990019 | − | 0.140933i | \(-0.0450101\pi\) |
−0.497367 | + | 0.867540i | \(0.665700\pi\) | |||||||
\(648\) | 1910.62 | 0.115828 | ||||||||
\(649\) | −21573.5 | − | 21597.6i | −1.30483 | − | 1.30629i | ||||
\(650\) | 32174.8 | 1.94154 | ||||||||
\(651\) | 818.363 | + | 1207.00i | 0.0492691 | + | 0.0726665i | ||||
\(652\) | 2577.33 | − | 47536.1i | 0.154810 | − | 2.85530i | ||||
\(653\) | 1337.47 | − | 3356.80i | 0.0801520 | − | 0.201166i | −0.883439 | − | 0.468545i | \(-0.844778\pi\) |
0.963591 | + | 0.267379i | \(0.0861576\pi\) | |||||||
\(654\) | 4330.74 | − | 2003.61i | 0.258938 | − | 0.119797i | ||||
\(655\) | −4592.14 | + | 2763.00i | −0.273938 | + | 0.164823i | ||||
\(656\) | 240.547 | − | 866.373i | 0.0143168 | − | 0.0515643i | ||||
\(657\) | 3043.76 | − | 669.983i | 0.180743 | − | 0.0397846i | ||||
\(658\) | 3823.47 | + | 415.828i | 0.226527 | + | 0.0246362i | ||||
\(659\) | 24612.5 | + | 14808.9i | 1.45488 | + | 0.875373i | 0.999886 | − | 0.0151200i | \(-0.00481302\pi\) |
0.454996 | + | 0.890493i | \(0.349641\pi\) | |||||||
\(660\) | 3976.49 | − | 3766.74i | 0.234522 | − | 0.222152i | ||||
\(661\) | 8309.95 | + | 3844.59i | 0.488986 | + | 0.226229i | 0.648859 | − | 0.760909i | \(-0.275246\pi\) |
−0.159873 | + | 0.987138i | \(0.551109\pi\) | |||||||
\(662\) | −23076.5 | + | 2509.72i | −1.35483 | + | 0.147346i | ||||
\(663\) | 15213.6 | − | 5126.06i | 0.891173 | − | 0.300271i | ||||
\(664\) | 6918.63 | + | 17364.4i | 0.404360 | + | 1.01487i | ||||
\(665\) | 414.281 | + | 392.428i | 0.0241581 | + | 0.0228838i | ||||
\(666\) | −2374.11 | − | 8550.77i | −0.138131 | − | 0.497501i | ||||
\(667\) | 14297.4 | + | 26967.8i | 0.829984 | + | 1.56552i | ||||
\(668\) | −15957.3 | + | 12130.4i | −0.924261 | + | 0.702605i | ||||
\(669\) | 383.889 | + | 7080.41i | 0.0221853 | + | 0.409185i | ||||
\(670\) | 1128.85 | + | 380.354i | 0.0650914 | + | 0.0219319i | ||||
\(671\) | −33131.9 | − | 7292.89i | −1.90618 | − | 0.419581i | ||||
\(672\) | −625.890 | + | 1180.55i | −0.0359289 | + | 0.0677691i | ||||
\(673\) | −856.156 | − | 5222.32i | −0.0490377 | − | 0.299117i | 0.950909 | − | 0.309472i | \(-0.100152\pi\) |
−0.999946 | + | 0.0103547i | \(0.996704\pi\) | |||||||
\(674\) | −181.989 | + | 214.254i | −0.0104005 | + | 0.0122444i | ||||
\(675\) | −2110.46 | − | 2484.62i | −0.120343 | − | 0.141679i | ||||
\(676\) | −2471.83 | + | 15077.5i | −0.140637 | + | 0.857846i | ||||
\(677\) | 4293.62 | + | 3263.93i | 0.243748 | + | 0.185292i | 0.719915 | − | 0.694063i | \(-0.244181\pi\) |
−0.476167 | + | 0.879355i | \(0.657974\pi\) | |||||||
\(678\) | 751.284 | − | 1108.06i | 0.0425559 | − | 0.0627652i | ||||
\(679\) | −178.541 | + | 263.328i | −0.0100910 | + | 0.0148831i | ||||
\(680\) | −3578.06 | − | 2719.97i | −0.201783 | − | 0.153391i | ||||
\(681\) | −2742.03 | + | 16725.6i | −0.154295 | + | 0.941156i | ||||
\(682\) | −37883.4 | − | 44599.8i | −2.12702 | − | 2.50413i | ||||
\(683\) | −4615.86 | + | 5434.20i | −0.258596 | + | 0.304442i | −0.876104 | − | 0.482122i | \(-0.839866\pi\) |
0.617509 | + | 0.786564i | \(0.288142\pi\) | |||||||
\(684\) | −2054.99 | − | 12534.9i | −0.114875 | − | 0.700705i | ||||
\(685\) | −202.314 | + | 381.604i | −0.0112847 | + | 0.0212852i | ||||
\(686\) | −7845.12 | − | 1726.84i | −0.436630 | − | 0.0961094i | ||||
\(687\) | 18640.9 | + | 6280.86i | 1.03522 | + | 0.348806i | ||||
\(688\) | −96.8781 | − | 1786.81i | −0.00536838 | − | 0.0990139i | ||||
\(689\) | 11058.7 | − | 8406.63i | 0.611472 | − | 0.464829i | ||||
\(690\) | 1590.76 | + | 3000.49i | 0.0877669 | + | 0.165546i | ||||
\(691\) | 2082.16 | + | 7499.26i | 0.114630 | + | 0.412858i | 0.998493 | − | 0.0548875i | \(-0.0174800\pi\) |
−0.883863 | + | 0.467746i | \(0.845066\pi\) | |||||||
\(692\) | 13942.7 | + | 13207.2i | 0.765929 | + | 0.725526i | ||||
\(693\) | −577.168 | − | 1448.58i | −0.0316375 | − | 0.0794041i | ||||
\(694\) | 25165.4 | − | 8479.22i | 1.37646 | − | 0.463785i | ||||
\(695\) | 2024.79 | − | 220.209i | 0.110510 | − | 0.0120187i | ||||
\(696\) | −16431.2 | − | 7601.88i | −0.894860 | − | 0.414006i | ||||
\(697\) | −17825.7 | + | 16885.4i | −0.968716 | + | 0.917617i | ||||
\(698\) | −36075.6 | − | 21706.0i | −1.95628 | − | 1.17705i | ||||
\(699\) | −8415.72 | − | 915.264i | −0.455381 | − | 0.0495257i | ||||
\(700\) | −3982.70 | + | 876.658i | −0.215045 | + | 0.0473351i | ||||
\(701\) | 1774.06 | − | 6389.59i | 0.0955854 | − | 0.344268i | −0.900257 | − | 0.435359i | \(-0.856622\pi\) |
0.995843 | + | 0.0910910i | \(0.0290354\pi\) | |||||||
\(702\) | 6165.09 | − | 3709.41i | 0.331462 | − | 0.199434i | ||||
\(703\) | −20923.6 | + | 9680.30i | −1.12255 | + | 0.519345i | ||||
\(704\) | 20520.8 | − | 51503.3i | 1.09859 | − | 2.75725i | ||||
\(705\) | 109.049 | − | 2011.29i | 0.00582556 | − | 0.107446i | ||||
\(706\) | 2428.23 | + | 3581.37i | 0.129444 | + | 0.190916i | ||||
\(707\) | 2078.70 | 0.110577 | ||||||||
\(708\) | −7063.86 | + | 16395.9i | −0.374966 | + | 0.870332i | ||||
\(709\) | −9531.00 | −0.504858 | −0.252429 | − | 0.967615i | \(-0.581229\pi\) | ||||
−0.252429 | + | 0.967615i | \(0.581229\pi\) | |||||||
\(710\) | −1498.31 | − | 2209.84i | −0.0791981 | − | 0.116808i | ||||
\(711\) | 262.011 | − | 4832.52i | 0.0138202 | − | 0.254899i | ||||
\(712\) | −2060.03 | + | 5170.29i | −0.108431 | + | 0.272141i | ||||
\(713\) | 20462.7 | − | 9467.05i | 1.07480 | − | 0.497257i | ||||
\(714\) | −2805.73 | + | 1688.15i | −0.147061 | + | 0.0884837i | ||||
\(715\) | 2156.31 | − | 7766.34i | 0.112785 | − | 0.406216i | ||||
\(716\) | 40551.4 | − | 8926.04i | 2.11659 | − | 0.465896i | ||||
\(717\) | −19834.3 | − | 2157.11i | −1.03309 | − | 0.112355i | ||||
\(718\) | −40483.8 | − | 24358.3i | −2.10424 | − | 1.26608i | ||||
\(719\) | 6798.20 | − | 6439.60i | 0.352615 | − | 0.334015i | −0.490805 | − | 0.871269i | \(-0.663297\pi\) |
0.843420 | + | 0.537255i | \(0.180539\pi\) | |||||||
\(720\) | −56.9953 | − | 26.3688i | −0.00295012 | − | 0.00136487i | ||||
\(721\) | 4456.79 | − | 484.705i | 0.230207 | − | 0.0250366i | ||||
\(722\) | −20443.9 | + | 6888.34i | −1.05380 | + | 0.355066i | ||||
\(723\) | −6257.91 | − | 15706.2i | −0.321900 | − | 0.807909i | ||||
\(724\) | −5975.86 | − | 5660.64i | −0.306756 | − | 0.290575i | ||||
\(725\) | 8264.07 | + | 29764.5i | 0.423338 | + | 1.52472i | ||||
\(726\) | 20711.8 | + | 39066.6i | 1.05880 | + | 1.99711i | ||||
\(727\) | 16848.1 | − | 12807.6i | 0.859505 | − | 0.653379i | −0.0796686 | − | 0.996821i | \(-0.525386\pi\) |
0.939174 | + | 0.343443i | \(0.111593\pi\) | |||||||
\(728\) | −190.414 | − | 3511.98i | −0.00969397 | − | 0.178795i | ||||
\(729\) | −690.839 | − | 232.771i | −0.0350983 | − | 0.0118260i | ||||
\(730\) | −3208.99 | − | 706.352i | −0.162699 | − | 0.0358127i | ||||
\(731\) | −22888.7 | + | 43172.7i | −1.15810 | + | 2.18441i | ||||
\(732\) | 3209.81 | + | 19579.0i | 0.162074 | + | 0.988606i | ||||
\(733\) | 7319.99 | − | 8617.76i | 0.368854 | − | 0.434249i | −0.546154 | − | 0.837685i | \(-0.683908\pi\) |
0.915008 | + | 0.403436i | \(0.132184\pi\) | |||||||
\(734\) | 39647.4 | + | 46676.5i | 1.99375 | + | 2.34722i | ||||
\(735\) | −336.996 | + | 2055.58i | −0.0169119 | + | 0.103158i | ||||
\(736\) | 16446.7 | + | 12502.5i | 0.823687 | + | 0.626151i | ||||
\(737\) | −4745.64 | + | 6999.29i | −0.237188 | + | 0.349827i | ||||
\(738\) | −6175.44 | + | 9108.09i | −0.308023 | + | 0.454300i | ||||
\(739\) | −4601.90 | − | 3498.27i | −0.229071 | − | 0.174135i | 0.484343 | − | 0.874878i | \(-0.339059\pi\) |
−0.713414 | + | 0.700743i | \(0.752852\pi\) | |||||||
\(740\) | −940.590 | + | 5737.35i | −0.0467254 | + | 0.285012i | ||||
\(741\) | −12100.9 | − | 14246.3i | −0.599916 | − | 0.706276i | ||||
\(742\) | −1834.25 | + | 2159.45i | −0.0907512 | + | 0.106841i | ||||
\(743\) | 3616.28 | + | 22058.3i | 0.178558 | + | 1.08916i | 0.912238 | + | 0.409660i | \(0.134353\pi\) |
−0.733680 | + | 0.679495i | \(0.762199\pi\) | |||||||
\(744\) | −6264.08 | + | 11815.3i | −0.308673 | + | 0.582218i | ||||
\(745\) | 1720.15 | + | 378.633i | 0.0845923 | + | 0.0186202i | ||||
\(746\) | 18475.8 | + | 6225.23i | 0.906766 | + | 0.305525i | ||||
\(747\) | −386.117 | − | 7121.50i | −0.0189120 | − | 0.348811i | ||||
\(748\) | 65002.4 | − | 49413.5i | 3.17744 | − | 2.41542i | ||||
\(749\) | 1384.98 | + | 2612.35i | 0.0675649 | + | 0.127441i | ||||
\(750\) | 1871.40 | + | 6740.16i | 0.0911117 | + | 0.328155i | ||||
\(751\) | 15910.5 | + | 15071.2i | 0.773077 | + | 0.732298i | 0.968660 | − | 0.248389i | \(-0.0799012\pi\) |
−0.195583 | + | 0.980687i | \(0.562660\pi\) | |||||||
\(752\) | 406.999 | + | 1021.49i | 0.0197363 | + | 0.0495345i | ||||
\(753\) | 17350.2 | − | 5845.97i | 0.839678 | − | 0.282920i | ||||
\(754\) | −67778.1 | + | 7371.32i | −3.27365 | + | 0.356031i | ||||
\(755\) | 6.78453 | + | 3.13886i | 0.000327039 | + | 0.000151304i | ||||
\(756\) | −662.064 | + | 627.141i | −0.0318506 | + | 0.0301705i | ||||
\(757\) | 11337.0 | + | 6821.23i | 0.544319 | + | 0.327506i | 0.761016 | − | 0.648733i | \(-0.224701\pi\) |
−0.216697 | + | 0.976239i | \(0.569528\pi\) | |||||||
\(758\) | −22831.0 | − | 2483.02i | −1.09401 | − | 0.118981i | ||||
\(759\) | −23545.4 | + | 5182.73i | −1.12601 | + | 0.247854i | ||||
\(760\) | −1399.99 | + | 5042.31i | −0.0668198 | + | 0.240663i | ||||
\(761\) | 26405.4 | − | 15887.6i | 1.25781 | − | 0.756801i | 0.278751 | − | 0.960363i | \(-0.410080\pi\) |
0.979062 | + | 0.203563i | \(0.0652521\pi\) | |||||||
\(762\) | 7702.04 | − | 3563.34i | 0.366162 | − | 0.169405i | ||||
\(763\) | −329.423 | + | 826.790i | −0.0156303 | + | 0.0392291i | ||||
\(764\) | 2324.85 | − | 42879.4i | 0.110092 | − | 2.03052i | ||||
\(765\) | 962.376 | + | 1419.40i | 0.0454834 | + | 0.0670829i | ||||
\(766\) | −28001.4 | −1.32080 | ||||||||
\(767\) | 3532.08 | + | 26032.8i | 0.166279 | + | 1.22554i | ||||
\(768\) | −13319.1 | −0.625795 | ||||||||
\(769\) | −4335.00 | − | 6393.64i | −0.203282 | − | 0.299819i | 0.712359 | − | 0.701815i | \(-0.247627\pi\) |
−0.915641 | + | 0.401996i | \(0.868316\pi\) | |||||||
\(770\) | −89.0032 | + | 1641.57i | −0.00416552 | + | 0.0768285i | ||||
\(771\) | 3661.19 | − | 9188.90i | 0.171018 | − | 0.429222i | ||||
\(772\) | −58145.6 | + | 26901.0i | −2.71076 | + | 1.25413i | ||||
\(773\) | −26772.5 | + | 16108.5i | −1.24572 | + | 0.749522i | −0.976906 | − | 0.213671i | \(-0.931458\pi\) |
−0.268810 | + | 0.963193i | \(0.586630\pi\) | |||||||
\(774\) | −5858.89 | + | 21101.8i | −0.272084 | + | 0.979960i | ||||
\(775\) | 22284.2 | − | 4905.12i | 1.03287 | − | 0.227351i | ||||
\(776\) | −2900.49 | − | 315.447i | −0.134177 | − | 0.0145927i | ||||
\(777\) | 1418.24 | + | 853.328i | 0.0654815 | + | 0.0393989i | ||||
\(778\) | 13569.1 | − | 12853.3i | 0.625288 | − | 0.592305i | ||||
\(779\) | 25945.7 | + | 12003.8i | 1.19333 | + | 0.552092i | ||||
\(780\) | −4686.16 | + | 509.651i | −0.215117 | + | 0.0233954i | ||||
\(781\) | 17961.6 | − | 6051.96i | 0.822939 | − | 0.277280i | ||||
\(782\) | 18738.8 | + | 47030.9i | 0.856904 | + | 2.15067i | ||||
\(783\) | 5015.02 | + | 4750.48i | 0.228892 | + | 0.216818i | ||||
\(784\) | −304.216 | − | 1095.69i | −0.0138582 | − | 0.0499128i | ||||
\(785\) | 901.278 | + | 1699.99i | 0.0409783 | + | 0.0772933i | ||||
\(786\) | −28504.8 | + | 21668.8i | −1.29355 | + | 0.983332i | ||||
\(787\) | −588.483 | − | 10853.9i | −0.0266546 | − | 0.491614i | −0.981133 | − | 0.193334i | \(-0.938070\pi\) |
0.954478 | − | 0.298280i | \(-0.0964130\pi\) | |||||||
\(788\) | −1735.67 | − | 584.817i | −0.0784655 | − | 0.0264381i | ||||
\(789\) | −13095.2 | − | 2882.47i | −0.590876 | − | 0.130062i | ||||
\(790\) | −2389.97 | + | 4507.97i | −0.107635 | + | 0.203021i | ||||
\(791\) | 40.3959 | + | 246.404i | 0.00181582 | + | 0.0110760i | ||||
\(792\) | 9257.55 | − | 10898.8i | 0.415344 | − | 0.488981i | ||||
\(793\) | 18901.2 | + | 22252.2i | 0.846406 | + | 0.996466i | ||||
\(794\) | 1321.18 | − | 8058.82i | 0.0590514 | − | 0.360198i | ||||
\(795\) | 1181.30 | + | 897.999i | 0.0526997 | + | 0.0400613i | ||||
\(796\) | 4689.75 | − | 6916.86i | 0.208824 | − | 0.307992i | ||||
\(797\) | −16911.0 | + | 24941.8i | −0.751589 | + | 1.10851i | 0.238917 | + | 0.971040i | \(0.423208\pi\) |
−0.990506 | + | 0.137471i | \(0.956103\pi\) | |||||||
\(798\) | 3035.09 | + | 2307.22i | 0.134638 | + | 0.102349i | ||||
\(799\) | 4857.81 | − | 29631.3i | 0.215090 | − | 1.31199i | ||||
\(800\) | 13535.3 | + | 15935.0i | 0.598183 | + | 0.704236i | ||||
\(801\) | 1374.76 | − | 1618.49i | 0.0606425 | − | 0.0713939i | ||||
\(802\) | −183.642 | − | 1120.16i | −0.00808555 | − | 0.0493197i | ||||
\(803\) | 10926.2 | − | 20608.9i | 0.480169 | − | 0.905695i | ||||
\(804\) | 4829.93 | + | 1063.15i | 0.211864 | + | 0.0466348i | ||||
\(805\) | −600.261 | − | 202.251i | −0.0262813 | − | 0.00885519i | ||||
\(806\) | 2726.46 | + | 50286.6i | 0.119151 | + | 2.19761i | ||||
\(807\) | −7044.46 | + | 5355.06i | −0.307282 | + | 0.233590i | ||||
\(808\) | 8929.17 | + | 16842.2i | 0.388771 | + | 0.733300i | ||||
\(809\) | 5457.14 | + | 19654.8i | 0.237160 | + | 0.854174i | 0.982308 | + | 0.187274i | \(0.0599654\pi\) |
−0.745147 | + | 0.666900i | \(0.767621\pi\) | |||||||
\(810\) | 557.981 | + | 528.547i | 0.0242043 | + | 0.0229275i | ||||
\(811\) | −4994.96 | − | 12536.4i | −0.216272 | − | 0.542802i | 0.780311 | − | 0.625391i | \(-0.215061\pi\) |
−0.996584 | + | 0.0825886i | \(0.973681\pi\) | |||||||
\(812\) | 8188.93 | − | 2759.17i | 0.353910 | − | 0.119246i | ||||
\(813\) | −841.357 | + | 91.5031i | −0.0362948 | + | 0.00394730i | ||||
\(814\) | −60279.8 | − | 27888.4i | −2.59559 | − | 1.20085i | ||||
\(815\) | 5432.82 | − | 5146.24i | 0.233501 | − | 0.221184i | ||||
\(816\) | −802.164 | − | 482.646i | −0.0344134 | − | 0.0207059i | ||||
\(817\) | 56560.7 | + | 6151.35i | 2.42204 | + | 0.263413i | ||||
\(818\) | 26727.6 | − | 5883.19i | 1.14243 | − | 0.251468i | ||||
\(819\) | −359.014 | + | 1293.05i | −0.0153174 | + | 0.0551684i | ||||
\(820\) | 6177.43 | − | 3716.83i | 0.263079 | − | 0.158290i | ||||
\(821\) | 16271.1 | − | 7527.83i | 0.691677 | − | 0.320004i | −0.0423705 | − | 0.999102i | \(-0.513491\pi\) |
0.734048 | + | 0.679098i | \(0.237629\pi\) | |||||||
\(822\) | −1068.10 | + | 2680.73i | −0.0453214 | + | 0.113748i | ||||
\(823\) | −96.3064 | + | 1776.27i | −0.00407901 | + | 0.0752330i | −0.999864 | − | 0.0164840i | \(-0.994753\pi\) |
0.995785 | + | 0.0917170i | \(0.0292355\pi\) | |||||||
\(824\) | 23071.6 | + | 34028.0i | 0.975409 | + | 1.43862i | ||||
\(825\) | −24398.9 | −1.02965 | ||||||||
\(826\) | −1845.02 | − | 5030.76i | −0.0777195 | − | 0.211916i | ||||
\(827\) | −6723.28 | −0.282698 | −0.141349 | − | 0.989960i | \(-0.545144\pi\) | ||||
−0.141349 | + | 0.989960i | \(0.545144\pi\) | |||||||
\(828\) | 7912.54 | + | 11670.1i | 0.332101 | + | 0.489812i | ||||
\(829\) | 382.190 | − | 7049.08i | 0.0160121 | − | 0.295325i | −0.979549 | − | 0.201206i | \(-0.935514\pi\) |
0.995561 | − | 0.0941189i | \(-0.0300034\pi\) | |||||||
\(830\) | −2783.11 | + | 6985.08i | −0.116389 | + | 0.292115i | ||||
\(831\) | −20369.2 | + | 9423.82i | −0.850302 | + | 0.393392i | ||||
\(832\) | −40883.0 | + | 24598.5i | −1.70356 | + | 1.02500i | ||||
\(833\) | −8307.35 | + | 29920.4i | −0.345537 | + | 1.24451i | ||||
\(834\) | 13289.4 | − | 2925.22i | 0.551768 | − | 0.121453i | ||||
\(835\) | −3132.36 | − | 340.665i | −0.129820 | − | 0.0141188i | ||||
\(836\) | −81460.1 | − | 49012.9i | −3.37004 | − | 2.02769i | ||||
\(837\) | 3704.42 | − | 3509.01i | 0.152979 | − | 0.144909i | ||||
\(838\) | −38926.0 | − | 18009.1i | −1.60462 | − | 0.742378i | ||||
\(839\) | −21830.8 | + | 2374.24i | −0.898312 | + | 0.0976973i | −0.545611 | − | 0.838039i | \(-0.683702\pi\) |
−0.352701 | + | 0.935736i | \(0.614737\pi\) | |||||||
\(840\) | 356.035 | − | 119.962i | 0.0146243 | − | 0.00492749i | ||||
\(841\) | −15200.5 | − | 38150.5i | −0.623254 | − | 1.56425i | ||||
\(842\) | −5450.45 | − | 5162.94i | −0.223082 | − | 0.211314i | ||||
\(843\) | −727.201 | − | 2619.14i | −0.0297107 | − | 0.107008i | ||||
\(844\) | 12828.9 | + | 24197.9i | 0.523211 | + | 0.986881i | ||||
\(845\) | −1911.98 | + | 1453.45i | −0.0778390 | + | 0.0591717i | ||||
\(846\) | −728.565 | − | 13437.6i | −0.0296082 | − | 0.546092i | ||||
\(847\) | −7815.45 | − | 2633.33i | −0.317051 | − | 0.106827i | ||||
\(848\) | −791.114 | − | 174.137i | −0.0320365 | − | 0.00705177i | ||||
\(849\) | 3531.13 | − | 6660.42i | 0.142742 | − | 0.269240i | ||||
\(850\) | 8288.95 | + | 50560.3i | 0.334481 | + | 2.04024i | ||||
\(851\) | 16567.1 | − | 19504.3i | 0.667349 | − | 0.785664i | ||||
\(852\) | −7176.07 | − | 8448.32i | −0.288554 | − | 0.339712i | ||||
\(853\) | 2936.00 | − | 17908.8i | 0.117851 | − | 0.718858i | −0.860116 | − | 0.510098i | \(-0.829609\pi\) |
0.977967 | − | 0.208760i | \(-0.0669426\pi\) | |||||||
\(854\) | −4740.70 | − | 3603.78i | −0.189957 | − | 0.144402i | ||||
\(855\) | 1120.51 | − | 1652.63i | 0.0448195 | − | 0.0661038i | ||||
\(856\) | −15216.7 | + | 22443.0i | −0.607590 | + | 0.896128i | ||||
\(857\) | −6860.32 | − | 5215.08i | −0.273447 | − | 0.207869i | 0.459459 | − | 0.888199i | \(-0.348043\pi\) |
−0.732906 | + | 0.680330i | \(0.761836\pi\) | |||||||
\(858\) | 8712.03 | − | 53141.1i | 0.346648 | − | 2.11446i | ||||
\(859\) | 22530.9 | + | 26525.5i | 0.894931 | + | 1.05359i | 0.998261 | + | 0.0589476i | \(0.0187745\pi\) |
−0.103330 | + | 0.994647i | \(0.532950\pi\) | |||||||
\(860\) | 9288.55 | − | 10935.3i | 0.368299 | − | 0.433595i | ||||
\(861\) | −332.048 | − | 2025.40i | −0.0131431 | − | 0.0801691i | ||||
\(862\) | 17951.5 | − | 33860.1i | 0.709315 | − | 1.33791i | ||||
\(863\) | −37087.7 | − | 8163.62i | −1.46290 | − | 0.322008i | −0.589005 | − | 0.808129i | \(-0.700480\pi\) |
−0.873891 | + | 0.486122i | \(0.838411\pi\) | |||||||
\(864\) | 4430.68 | + | 1492.87i | 0.174461 | + | 0.0587829i | ||||
\(865\) | 163.438 | + | 3014.44i | 0.00642434 | + | 0.118490i | ||||
\(866\) | 17145.7 | − | 13033.8i | 0.672790 | − | 0.511441i | ||||
\(867\) | 5070.72 | + | 9564.38i | 0.198628 | + | 0.374652i | ||||
\(868\) | −1707.63 | − | 6150.34i | −0.0667751 | − | 0.240502i | ||||
\(869\) | −26296.8 | − | 24909.6i | −1.02653 | − | 0.972384i | ||||
\(870\) | −2695.63 | − | 6765.53i | −0.105047 | − | 0.263647i | ||||
\(871\) | 6896.68 | − | 2323.76i | 0.268295 | − | 0.0903992i | ||||
\(872\) | −8113.93 | + | 882.444i | −0.315106 | + | 0.0342698i | ||||
\(873\) | 1010.32 | + | 467.425i | 0.0391687 | + | 0.0181214i | ||||
\(874\) | 42794.1 | − | 40536.7i | 1.65621 | − | 1.56885i | ||||
\(875\) | −1117.93 | − | 672.638i | −0.0431920 | − | 0.0259878i | ||||
\(876\) | −13561.8 | − | 1474.94i | −0.523072 | − | 0.0568875i | ||||
\(877\) | −27433.0 | + | 6038.45i | −1.05627 | + | 0.232502i | −0.708959 | − | 0.705250i | \(-0.750835\pi\) |
−0.347307 | + | 0.937751i | \(0.612904\pi\) | |||||||
\(878\) | −10511.7 | + | 37859.6i | −0.404045 | + | 1.45524i | ||||
\(879\) | 5982.44 | − | 3599.51i | 0.229559 | − | 0.138121i | ||||
\(880\) | −426.576 | + | 197.355i | −0.0163408 | + | 0.00756005i | ||||
\(881\) | 8314.64 | − | 20868.2i | 0.317965 | − | 0.798032i | −0.679936 | − | 0.733272i | \(-0.737992\pi\) |
0.997901 | − | 0.0647605i | \(-0.0206283\pi\) | |||||||
\(882\) | −753.443 | + | 13896.4i | −0.0287639 | + | 0.530519i | ||||
\(883\) | 13794.5 | + | 20345.4i | 0.525733 | + | 0.775399i | 0.994138 | − | 0.108115i | \(-0.0344815\pi\) |
−0.468405 | + | 0.883514i | \(0.655171\pi\) | |||||||
\(884\) | −70269.9 | −2.67357 | ||||||||
\(885\) | −2578.54 | + | 1107.50i | −0.0979397 | + | 0.0420657i | ||||
\(886\) | −35086.5 | −1.33042 | ||||||||
\(887\) | −11741.9 | − | 17318.0i | −0.444480 | − | 0.655559i | 0.537780 | − | 0.843086i | \(-0.319263\pi\) |
−0.982260 | + | 0.187527i | \(0.939953\pi\) | |||||||
\(888\) | −821.762 | + | 15156.5i | −0.0310546 | + | 0.572769i | ||||
\(889\) | −585.865 | + | 1470.41i | −0.0221027 | + | 0.0554735i | ||||
\(890\) | −2031.90 | + | 940.059i | −0.0765276 | + | 0.0354054i | ||||
\(891\) | −4675.13 | + | 2812.93i | −0.175783 | + | 0.105765i | ||||
\(892\) | 8303.32 | − | 29905.9i | 0.311677 | − | 1.12256i | ||||
\(893\) | −34143.5 | + | 7515.54i | −1.27947 | + | 0.281633i | ||||
\(894\) | 11698.6 | + | 1272.30i | 0.437650 | + | 0.0475973i | ||||
\(895\) | 5592.66 | + | 3364.99i | 0.208874 | + | 0.125675i | ||||
\(896\) | 4478.28 | − | 4242.05i | 0.166974 | − | 0.158166i | ||||
\(897\) | 18830.7 | + | 8712.01i | 0.700935 | + | 0.324287i | ||||
\(898\) | −184.750 | + | 20.0928i | −0.00686547 | + | 0.000746665i | ||||
\(899\) | −45819.1 | + | 15438.3i | −1.69984 | + | 0.572742i | ||||
\(900\) | 5281.57 | + | 13255.7i | 0.195614 | + | 0.490953i | ||||
\(901\) | 16059.4 | + | 15212.2i | 0.593801 | + | 0.562478i | ||||
\(902\) | 22033.7 | + | 79358.3i | 0.813351 | + | 2.92943i | ||||
\(903\) | −1913.29 | − | 3608.85i | −0.0705098 | − | 0.132996i | ||||
\(904\) | −1822.91 | + | 1385.74i | −0.0670676 | + | 0.0509835i | ||||
\(905\) | −70.0497 | − | 1291.99i | −0.00257296 | − | 0.0474555i | ||||
\(906\) | 47.3297 | + | 15.9472i | 0.00173557 | + | 0.000584780i | ||||
\(907\) | −25751.2 | − | 5668.27i | −0.942729 | − | 0.207510i | −0.283090 | − | 0.959093i | \(-0.591360\pi\) |
−0.659639 | + | 0.751583i | \(0.729291\pi\) | |||||||
\(908\) | 34749.8 | − | 65545.1i | 1.27006 | − | 2.39558i | ||||
\(909\) | −1176.71 | − | 7177.62i | −0.0429362 | − | 0.261899i | ||||
\(910\) | 915.932 | − | 1078.32i | 0.0333658 | − | 0.0392812i | ||||
\(911\) | 10211.4 | + | 12021.7i | 0.371370 | + | 0.437210i | 0.915824 | − | 0.401581i | \(-0.131539\pi\) |
−0.544454 | + | 0.838791i | \(0.683263\pi\) | |||||||
\(912\) | −176.342 | + | 1075.64i | −0.00640271 | + | 0.0390548i | ||||
\(913\) | −42494.3 | − | 32303.3i | −1.54037 | − | 1.17096i | ||||
\(914\) | 35619.4 | − | 52534.7i | 1.28904 | − | 1.90120i | ||||
\(915\) | −1750.20 | + | 2581.34i | −0.0632346 | + | 0.0932641i | ||||
\(916\) | −68543.8 | − | 52105.6i | −2.47244 | − | 1.87950i | ||||
\(917\) | 1080.42 | − | 6590.30i | 0.0389081 | − | 0.237329i | ||||
\(918\) | 7417.33 | + | 8732.36i | 0.266676 | + | 0.313955i | ||||
\(919\) | 17780.9 | − | 20933.3i | 0.638236 | − | 0.751389i | −0.344014 | − | 0.938964i | \(-0.611787\pi\) |
0.982250 | + | 0.187575i | \(0.0600628\pi\) | |||||||
\(920\) | −939.756 | − | 5732.26i | −0.0336770 | − | 0.205421i | ||||
\(921\) | −6746.95 | + | 12726.1i | −0.241389 | + | 0.455309i | ||||
\(922\) | −52437.5 | − | 11542.4i | −1.87304 | − | 0.412286i | ||||
\(923\) | −15457.8 | − | 5208.35i | −0.551246 | − | 0.185737i | ||||
\(924\) | 369.516 | + | 6815.33i | 0.0131561 | + | 0.242649i | ||||
\(925\) | 20617.6 | − | 15673.1i | 0.732868 | − | 0.557112i | ||||
\(926\) | 3310.25 | + | 6243.80i | 0.117475 | + | 0.221581i | ||||
\(927\) | −4196.55 | − | 15114.6i | −0.148687 | − | 0.535522i | ||||
\(928\) | −32163.7 | − | 30467.1i | −1.13774 | − | 1.07773i | ||||
\(929\) | −238.598 | − | 598.836i | −0.00842643 | − | 0.0211487i | 0.924703 | − | 0.380689i | \(-0.124313\pi\) |
−0.933130 | + | 0.359540i | \(0.882934\pi\) | |||||||
\(930\) | −5097.92 | + | 1717.69i | −0.179750 | + | 0.0605648i | ||||
\(931\) | 35942.7 | − | 3909.00i | 1.26528 | − | 0.137607i | ||||
\(932\) | 33628.9 | + | 15558.4i | 1.18192 | + | 0.546816i | ||||
\(933\) | −13197.4 | + | 12501.2i | −0.463091 | + | 0.438663i | ||||
\(934\) | 28701.0 | + | 17268.8i | 1.00549 | + | 0.604981i | ||||
\(935\) | 12759.7 | + | 1387.71i | 0.446297 | + | 0.0485378i | ||||
\(936\) | −12018.8 | + | 2645.55i | −0.419709 | + | 0.0923850i | ||||
\(937\) | 6467.32 | − | 23293.2i | 0.225483 | − | 0.812118i | −0.761069 | − | 0.648671i | \(-0.775325\pi\) |
0.986552 | − | 0.163447i | \(-0.0522612\pi\) | |||||||
\(938\) | −1271.90 | + | 765.277i | −0.0442740 | + | 0.0266388i | ||||
\(939\) | 4745.66 | − | 2195.57i | 0.164929 | − | 0.0763044i | ||||
\(940\) | −3263.33 | + | 8190.35i | −0.113232 | + | 0.284191i | ||||
\(941\) | 2653.60 | − | 48942.8i | 0.0919287 | − | 1.69553i | −0.481641 | − | 0.876369i | \(-0.659959\pi\) |
0.573570 | − | 0.819157i | \(-0.305558\pi\) | |||||||
\(942\) | 7214.20 | + | 10640.2i | 0.249524 | + | 0.368020i | ||||
\(943\) | −31733.1 | −1.09584 | ||||||||
\(944\) | 1023.68 | − | 1139.76i | 0.0352944 | − | 0.0392967i | ||||
\(945\) | −143.349 | −0.00493456 | ||||||||
\(946\) | 91983.7 | + | 135666.i | 3.16136 | + | 4.66266i | ||||
\(947\) | 1663.52 | − | 30681.8i | 0.0570824 | − | 1.05282i | −0.819963 | − | 0.572416i | \(-0.806006\pi\) |
0.877046 | − | 0.480407i | \(-0.159511\pi\) | |||||||
\(948\) | −7840.81 | + | 19678.9i | −0.268626 | + | 0.674201i | ||||
\(949\) | −18219.2 | + | 8429.10i | −0.623204 | + | 0.288325i | ||||
\(950\) | 51115.1 | − | 30754.9i | 1.74568 | − | 1.05034i | ||||
\(951\) | 2504.60 | − | 9020.76i | 0.0854020 | − | 0.307590i | ||||
\(952\) | 5469.76 | − | 1203.98i | 0.186214 | − | 0.0409888i | ||||
\(953\) | 14809.6 | + | 1610.64i | 0.503390 | + | 0.0547470i | 0.356292 | − | 0.934375i | \(-0.384041\pi\) |
0.147099 | + | 0.989122i | \(0.453007\pi\) | |||||||
\(954\) | 8494.75 | + | 5111.12i | 0.288289 | + | 0.173458i | ||||
\(955\) | 4900.60 | − | 4642.10i | 0.166052 | − | 0.157293i | ||||
\(956\) | 79257.3 | + | 36668.3i | 2.68134 | + | 1.24052i | ||||
\(957\) | 51397.7 | − | 5589.84i | 1.73610 | − | 0.188813i | ||||
\(958\) | 10132.4 | − | 3414.02i | 0.341716 | − | 0.115138i | ||||
\(959\) | −199.215 | − | 499.992i | −0.00670802 | − | 0.0168359i | ||||
\(960\) | −3700.17 | − | 3504.99i | −0.124399 | − | 0.117837i | ||||
\(961\) | 1584.69 | + | 5707.55i | 0.0531937 | + | 0.191586i | ||||
\(962\) | 26774.3 | + | 50501.7i | 0.897336 | + | 1.69256i | ||||
\(963\) | 8236.27 | − | 6261.05i | 0.275607 | − | 0.209511i | ||||
\(964\) | 4006.46 | + | 73894.8i | 0.133858 | + | 2.46887i | ||||
\(965\) | −9543.63 | − | 3215.62i | −0.318363 | − | 0.107269i | ||||
\(966\) | −4132.98 | − | 909.738i | −0.137657 | − | 0.0303006i | ||||
\(967\) | −16188.4 | + | 30534.5i | −0.538348 | + | 1.01543i | 0.453887 | + | 0.891059i | \(0.350037\pi\) |
−0.992235 | + | 0.124373i | \(0.960308\pi\) | |||||||
\(968\) | −12235.7 | − | 74634.5i | −0.406271 | − | 2.47814i | ||||
\(969\) | 19269.5 | − | 22685.8i | 0.638830 | − | 0.752088i | ||||
\(970\) | −759.799 | − | 894.505i | −0.0251502 | − | 0.0296091i | ||||
\(971\) | 6208.12 | − | 37867.8i | 0.205178 | − | 1.25153i | −0.660460 | − | 0.750861i | \(-0.729639\pi\) |
0.865638 | − | 0.500670i | \(-0.166913\pi\) | |||||||
\(972\) | 2540.26 | + | 1931.05i | 0.0838259 | + | 0.0637228i | ||||
\(973\) | −1424.29 | + | 2100.67i | −0.0469277 | + | 0.0692132i | ||||
\(974\) | −46066.8 | + | 67943.4i | −1.51548 | + | 2.23516i | ||||
\(975\) | 16716.2 | + | 12707.4i | 0.549075 | + | 0.417396i | ||||
\(976\) | 275.440 | − | 1680.11i | 0.00903342 | − | 0.0551014i | ||||
\(977\) | −29378.1 | − | 34586.5i | −0.962014 | − | 1.13257i | −0.991117 | − | 0.132994i | \(-0.957541\pi\) |
0.0291027 | − | 0.999576i | \(-0.490735\pi\) | |||||||
\(978\) | 32366.9 | − | 38105.3i | 1.05826 | − | 1.24588i | ||||
\(979\) | −2571.29 | − | 15684.2i | −0.0839415 | − | 0.512021i | ||||
\(980\) | 4270.76 | − | 8055.50i | 0.139208 | − | 0.262575i | ||||
\(981\) | 3041.33 | + | 669.447i | 0.0989829 | + | 0.0217878i | ||||
\(982\) | 36109.1 | + | 12166.6i | 1.17341 | + | 0.395368i | ||||
\(983\) | 959.466 | + | 17696.3i | 0.0311315 | + | 0.574186i | 0.971937 | + | 0.235240i | \(0.0755876\pi\) |
−0.940806 | + | 0.338946i | \(0.889930\pi\) | |||||||
\(984\) | 14984.1 | − | 11390.6i | 0.485441 | − | 0.369023i | ||||
\(985\) | −134.857 | − | 254.367i | −0.00436234 | − | 0.00822824i | ||||
\(986\) | −29044.6 | − | 104609.i | −0.938102 | − | 3.37874i | ||||
\(987\) | 1822.23 | + | 1726.11i | 0.0587662 | + | 0.0556663i | ||||
\(988\) | 30283.4 | + | 76005.6i | 0.975145 | + | 2.44743i | ||||
\(989\) | −59847.7 | + | 20165.0i | −1.92421 | + | 0.648343i | ||||
\(990\) | 5718.60 | − | 621.936i | 0.183585 | − | 0.0199661i | ||||
\(991\) | 10966.3 | + | 5073.55i | 0.351520 | + | 0.162630i | 0.587700 | − | 0.809079i | \(-0.300034\pi\) |
−0.236180 | + | 0.971709i | \(0.575896\pi\) | |||||||
\(992\) | −23758.2 | + | 22504.9i | −0.760406 | + | 0.720295i | ||||
\(993\) | −12980.5 | − | 7810.09i | −0.414827 | − | 0.249593i | ||||
\(994\) | 3307.49 | + | 359.712i | 0.105541 | + | 0.0114782i | ||||
\(995\) | 1282.91 | − | 282.391i | 0.0408755 | − | 0.00899737i | ||||
\(996\) | −8351.51 | + | 30079.4i | −0.265690 | + | 0.956930i | ||||
\(997\) | 4294.38 | − | 2583.85i | 0.136414 | − | 0.0820774i | −0.445711 | − | 0.895177i | \(-0.647049\pi\) |
0.582125 | + | 0.813099i | \(0.302222\pi\) | |||||||
\(998\) | 50351.2 | − | 23294.9i | 1.59703 | − | 0.738866i | ||||
\(999\) | 2143.65 | − | 5380.15i | 0.0678899 | − | 0.170391i |
(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.7.2 | ✓ | 420 | |
59.17 | even | 29 | inner | 177.4.e.b.76.2 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.e.b.7.2 | ✓ | 420 | 1.1 | even | 1 | trivial | |
177.4.e.b.76.2 | yes | 420 | 59.17 | even | 29 | inner |