Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,3,Mod(5,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.k (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.10627501371\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 114.5 |
Dual form | 114.3.k.a.23.6 |
$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.483690 | − | 1.32893i | −0.241845 | − | 0.664463i | ||||
\(3\) | 2.95719 | + | 0.505005i | 0.985730 | + | 0.168335i | ||||
\(4\) | −1.53209 | + | 1.28558i | −0.383022 | + | 0.321394i | ||||
\(5\) | −5.47600 | + | 6.52605i | −1.09520 | + | 1.30521i | −0.146438 | + | 0.989220i | \(0.546781\pi\) |
−0.948763 | + | 0.315990i | \(0.897663\pi\) | |||||||
\(6\) | −0.759247 | − | 4.17415i | −0.126541 | − | 0.695692i | ||||
\(7\) | 6.07385 | + | 10.5202i | 0.867693 | + | 1.50289i | 0.864348 | + | 0.502893i | \(0.167731\pi\) |
0.00334435 | + | 0.999994i | \(0.498935\pi\) | |||||||
\(8\) | 2.44949 | + | 1.41421i | 0.306186 | + | 0.176777i | ||||
\(9\) | 8.48994 | + | 2.98679i | 0.943327 | + | 0.331866i | ||||
\(10\) | 11.3213 | + | 4.12062i | 1.13213 | + | 0.412062i | ||||
\(11\) | −6.93412 | − | 4.00341i | −0.630374 | − | 0.363947i | 0.150523 | − | 0.988607i | \(-0.451904\pi\) |
−0.780897 | + | 0.624660i | \(0.785238\pi\) | |||||||
\(12\) | −5.17990 | + | 3.02798i | −0.431658 | + | 0.252331i | ||||
\(13\) | −1.68659 | − | 9.56510i | −0.129737 | − | 0.735777i | −0.978381 | − | 0.206812i | \(-0.933691\pi\) |
0.848643 | − | 0.528965i | \(-0.177420\pi\) | |||||||
\(14\) | 11.0427 | − | 13.1602i | 0.788766 | − | 0.940015i | ||||
\(15\) | −19.4893 | + | 16.5334i | −1.29928 | + | 1.10222i | ||||
\(16\) | 0.694593 | − | 3.93923i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −4.97107 | − | 13.6579i | −0.292416 | − | 0.803406i | −0.995712 | − | 0.0925089i | \(-0.970511\pi\) |
0.703296 | − | 0.710897i | \(-0.251711\pi\) | |||||||
\(18\) | −0.137269 | − | 12.7272i | −0.00762603 | − | 0.707066i | ||||
\(19\) | 18.9025 | − | 1.92197i | 0.994871 | − | 0.101156i | ||||
\(20\) | − | 17.0383i | − | 0.851915i | ||||||
\(21\) | 12.6488 | + | 34.1776i | 0.602322 | + | 1.62750i | ||||
\(22\) | −1.96628 | + | 11.1513i | −0.0893764 | + | 0.506879i | ||||
\(23\) | 14.6697 | + | 17.4826i | 0.637812 | + | 0.760114i | 0.984023 | − | 0.178042i | \(-0.0569764\pi\) |
−0.346211 | + | 0.938157i | \(0.612532\pi\) | |||||||
\(24\) | 6.52942 | + | 5.41910i | 0.272059 | + | 0.225796i | ||||
\(25\) | −8.26147 | − | 46.8532i | −0.330459 | − | 1.87413i | ||||
\(26\) | −11.8955 | + | 6.86789i | −0.457520 | + | 0.264150i | ||||
\(27\) | 23.5980 | + | 13.1200i | 0.874001 | + | 0.485925i | ||||
\(28\) | −22.8302 | − | 8.30952i | −0.815364 | − | 0.296768i | ||||
\(29\) | 0.608189 | − | 1.67099i | 0.0209720 | − | 0.0576202i | −0.928765 | − | 0.370669i | \(-0.879128\pi\) |
0.949737 | + | 0.313049i | \(0.101350\pi\) | |||||||
\(30\) | 31.3984 | + | 17.9028i | 1.04661 | + | 0.596760i | ||||
\(31\) | 9.59304 | + | 16.6156i | 0.309453 | + | 0.535988i | 0.978243 | − | 0.207463i | \(-0.0665207\pi\) |
−0.668790 | + | 0.743452i | \(0.733187\pi\) | |||||||
\(32\) | −5.57091 | + | 0.982302i | −0.174091 | + | 0.0306970i | ||||
\(33\) | −18.4837 | − | 15.3406i | −0.560114 | − | 0.464867i | ||||
\(34\) | −15.7459 | + | 13.2124i | −0.463114 | + | 0.388599i | ||||
\(35\) | −101.916 | − | 17.9705i | −2.91188 | − | 0.513443i | ||||
\(36\) | −16.8471 | + | 6.33842i | −0.467975 | + | 0.176067i | ||||
\(37\) | −4.28922 | −0.115925 | −0.0579625 | − | 0.998319i | \(-0.518460\pi\) | ||||
−0.0579625 | + | 0.998319i | \(0.518460\pi\) | |||||||
\(38\) | −11.6971 | − | 24.1904i | −0.307819 | − | 0.636591i | ||||
\(39\) | −0.157127 | − | 29.1376i | −0.00402889 | − | 0.747117i | ||||
\(40\) | −22.6426 | + | 8.24125i | −0.566066 | + | 0.206031i | ||||
\(41\) | 49.8250 | + | 8.78550i | 1.21524 | + | 0.214280i | 0.744278 | − | 0.667870i | \(-0.232794\pi\) |
0.470967 | + | 0.882151i | \(0.343905\pi\) | |||||||
\(42\) | 39.3014 | − | 33.3406i | 0.935748 | − | 0.793824i | ||||
\(43\) | −44.9754 | − | 37.7388i | −1.04594 | − | 0.877647i | −0.0532784 | − | 0.998580i | \(-0.516967\pi\) |
−0.992661 | + | 0.120933i | \(0.961412\pi\) | |||||||
\(44\) | 15.7704 | − | 2.78074i | 0.358418 | − | 0.0631987i | ||||
\(45\) | −65.9829 | + | 39.0501i | −1.46629 | + | 0.867779i | ||||
\(46\) | 16.1376 | − | 27.9511i | 0.350816 | − | 0.607632i | ||||
\(47\) | 20.2265 | − | 55.5719i | 0.430352 | − | 1.18238i | −0.515246 | − | 0.857042i | \(-0.672299\pi\) |
0.945597 | − | 0.325339i | \(-0.105478\pi\) | |||||||
\(48\) | 4.04337 | − | 11.2983i | 0.0842370 | − | 0.235381i | ||||
\(49\) | −49.2833 | + | 85.3612i | −1.00578 | + | 1.74206i | ||||
\(50\) | −58.2684 | + | 33.6413i | −1.16537 | + | 0.672825i | ||||
\(51\) | −7.80308 | − | 42.8994i | −0.153002 | − | 0.841165i | ||||
\(52\) | 14.8807 | + | 12.4864i | 0.286167 | + | 0.240122i | ||||
\(53\) | 13.1101 | + | 15.6240i | 0.247360 | + | 0.294792i | 0.875410 | − | 0.483381i | \(-0.160591\pi\) |
−0.628051 | + | 0.778173i | \(0.716147\pi\) | |||||||
\(54\) | 6.02136 | − | 37.7060i | 0.111507 | − | 0.698259i | ||||
\(55\) | 64.0977 | − | 23.3297i | 1.16541 | − | 0.424176i | ||||
\(56\) | 34.3589i | 0.613551i | ||||||||
\(57\) | 56.8690 | + | 3.86225i | 0.997702 | + | 0.0677588i | ||||
\(58\) | −2.51479 | −0.0433585 | ||||||||
\(59\) | −2.80635 | − | 7.71038i | −0.0475652 | − | 0.130684i | 0.913635 | − | 0.406534i | \(-0.133263\pi\) |
−0.961201 | + | 0.275850i | \(0.911041\pi\) | |||||||
\(60\) | 8.60443 | − | 50.3855i | 0.143407 | − | 0.839758i | ||||
\(61\) | 2.11001 | − | 1.77050i | 0.0345903 | − | 0.0290247i | −0.625329 | − | 0.780362i | \(-0.715035\pi\) |
0.659919 | + | 0.751337i | \(0.270591\pi\) | |||||||
\(62\) | 17.4409 | − | 20.7853i | 0.281305 | − | 0.335246i | ||||
\(63\) | 20.1449 | + | 107.457i | 0.319761 | + | 1.70567i | ||||
\(64\) | 4.00000 | + | 6.92820i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 71.6581 | + | 41.3718i | 1.10243 | + | 0.636489i | ||||
\(66\) | −11.4461 | + | 31.9836i | −0.173427 | + | 0.484600i | ||||
\(67\) | −25.1958 | − | 9.17051i | −0.376056 | − | 0.136873i | 0.147075 | − | 0.989125i | \(-0.453014\pi\) |
−0.523131 | + | 0.852252i | \(0.675236\pi\) | |||||||
\(68\) | 25.1744 | + | 14.5344i | 0.370212 | + | 0.213742i | ||||
\(69\) | 34.5522 | + | 59.1077i | 0.500756 | + | 0.856633i | ||||
\(70\) | 25.4141 | + | 144.131i | 0.363059 | + | 2.05901i | ||||
\(71\) | 18.7545 | − | 22.3507i | 0.264147 | − | 0.314799i | −0.617626 | − | 0.786472i | \(-0.711905\pi\) |
0.881773 | + | 0.471673i | \(0.156350\pi\) | |||||||
\(72\) | 16.5721 | + | 19.3227i | 0.230167 | + | 0.268371i | ||||
\(73\) | 2.68817 | − | 15.2454i | 0.0368243 | − | 0.208841i | −0.960844 | − | 0.277090i | \(-0.910630\pi\) |
0.997668 | + | 0.0682488i | \(0.0217412\pi\) | |||||||
\(74\) | 2.07465 | + | 5.70006i | 0.0280358 | + | 0.0770278i | ||||
\(75\) | −0.769660 | − | 142.726i | −0.0102621 | − | 1.90301i | ||||
\(76\) | −26.4895 | + | 27.2453i | −0.348547 | + | 0.358490i | ||||
\(77\) | − | 97.2645i | − | 1.26318i | ||||||
\(78\) | −38.6457 | + | 14.3023i | −0.495457 | + | 0.183363i | ||||
\(79\) | 20.3721 | − | 115.536i | 0.257875 | − | 1.46248i | −0.530708 | − | 0.847555i | \(-0.678074\pi\) |
0.788583 | − | 0.614928i | \(-0.210815\pi\) | |||||||
\(80\) | 21.9040 | + | 26.1042i | 0.273800 | + | 0.326302i | ||||
\(81\) | 63.1581 | + | 50.7154i | 0.779730 | + | 0.626116i | ||||
\(82\) | −12.4246 | − | 70.4632i | −0.151519 | − | 0.859308i | ||||
\(83\) | 24.5011 | − | 14.1457i | 0.295194 | − | 0.170431i | −0.345088 | − | 0.938570i | \(-0.612151\pi\) |
0.640282 | + | 0.768140i | \(0.278817\pi\) | |||||||
\(84\) | −63.3169 | − | 36.1022i | −0.753773 | − | 0.429788i | ||||
\(85\) | 116.354 | + | 42.3493i | 1.36887 | + | 0.498227i | ||||
\(86\) | −28.3980 | + | 78.0228i | −0.330209 | + | 0.907242i | ||||
\(87\) | 2.64239 | − | 4.63428i | 0.0303723 | − | 0.0532676i | ||||
\(88\) | −11.3234 | − | 19.6126i | −0.128675 | − | 0.222871i | ||||
\(89\) | −80.5409 | + | 14.2015i | −0.904954 | + | 0.159568i | −0.606711 | − | 0.794922i | \(-0.707512\pi\) |
−0.298243 | + | 0.954490i | \(0.596401\pi\) | |||||||
\(90\) | 83.8099 | + | 68.7983i | 0.931221 | + | 0.764425i | ||||
\(91\) | 90.3829 | − | 75.8403i | 0.993219 | − | 0.833409i | ||||
\(92\) | −44.9505 | − | 7.92598i | −0.488592 | − | 0.0861520i | ||||
\(93\) | 19.9775 | + | 53.9801i | 0.214811 | + | 0.580432i | ||||
\(94\) | −83.6343 | −0.889727 | ||||||||
\(95\) | −90.9675 | + | 133.884i | −0.957553 | + | 1.40930i | ||||
\(96\) | −16.9703 | + | 0.0915137i | −0.176774 | + | 0.000953268i | ||||
\(97\) | 61.0814 | − | 22.2318i | 0.629705 | − | 0.229194i | −0.00739771 | − | 0.999973i | \(-0.502355\pi\) |
0.637103 | + | 0.770779i | \(0.280133\pi\) | |||||||
\(98\) | 137.276 | + | 24.2055i | 1.40078 | + | 0.246995i | ||||
\(99\) | −46.9129 | − | 54.6995i | −0.473867 | − | 0.552520i | ||||
\(100\) | 72.8906 | + | 61.1624i | 0.728906 | + | 0.611624i | ||||
\(101\) | −98.8490 | + | 17.4298i | −0.978703 | + | 0.172572i | −0.640045 | − | 0.768338i | \(-0.721084\pi\) |
−0.338659 | + | 0.940909i | \(0.609973\pi\) | |||||||
\(102\) | −53.2359 | + | 31.1197i | −0.521921 | + | 0.305095i | ||||
\(103\) | −88.4070 | + | 153.125i | −0.858320 | + | 1.48665i | 0.0152098 | + | 0.999884i | \(0.495158\pi\) |
−0.873530 | + | 0.486770i | \(0.838175\pi\) | |||||||
\(104\) | 9.39583 | − | 25.8148i | 0.0903445 | − | 0.248219i | ||||
\(105\) | −292.309 | − | 104.610i | −2.78390 | − | 0.996288i | ||||
\(106\) | 14.4219 | − | 24.9794i | 0.136056 | − | 0.235655i | ||||
\(107\) | 111.096 | − | 64.1412i | 1.03828 | − | 0.599451i | 0.118934 | − | 0.992902i | \(-0.462052\pi\) |
0.919345 | + | 0.393451i | \(0.128719\pi\) | |||||||
\(108\) | −53.0210 | + | 10.2361i | −0.490935 | + | 0.0947783i | ||||
\(109\) | 35.9190 | + | 30.1396i | 0.329532 | + | 0.276510i | 0.792509 | − | 0.609860i | \(-0.208774\pi\) |
−0.462977 | + | 0.886370i | \(0.653219\pi\) | |||||||
\(110\) | −62.0068 | − | 73.8968i | −0.563698 | − | 0.671789i | ||||
\(111\) | −12.6840 | − | 2.16608i | −0.114271 | − | 0.0195142i | ||||
\(112\) | 45.6604 | − | 16.6190i | 0.407682 | − | 0.148384i | ||||
\(113\) | 191.317i | 1.69307i | 0.532331 | + | 0.846536i | \(0.321316\pi\) | ||||
−0.532331 | + | 0.846536i | \(0.678684\pi\) | |||||||
\(114\) | −22.3743 | − | 77.4428i | −0.196266 | − | 0.679323i | ||||
\(115\) | −194.424 | −1.69064 | ||||||||
\(116\) | 1.21638 | + | 3.34197i | 0.0104860 | + | 0.0288101i | ||||
\(117\) | 14.2500 | − | 86.2446i | 0.121795 | − | 0.737134i | ||||
\(118\) | −8.88912 | + | 7.45886i | −0.0753315 | + | 0.0632107i | ||||
\(119\) | 113.491 | − | 135.253i | 0.953702 | − | 1.13658i | ||||
\(120\) | −71.1205 | + | 12.9363i | −0.592671 | + | 0.107802i | ||||
\(121\) | −28.4454 | − | 49.2688i | −0.235086 | − | 0.407180i | ||||
\(122\) | −3.37346 | − | 1.94767i | −0.0276513 | − | 0.0159645i | ||||
\(123\) | 142.905 | + | 51.1423i | 1.16183 | + | 0.415791i | ||||
\(124\) | −36.0581 | − | 13.1241i | −0.290791 | − | 0.105839i | ||||
\(125\) | 166.561 | + | 96.1639i | 1.33249 | + | 0.769311i | ||||
\(126\) | 133.059 | − | 78.7471i | 1.05602 | − | 0.624977i | ||||
\(127\) | 0.714898 | + | 4.05439i | 0.00562912 | + | 0.0319243i | 0.987493 | − | 0.157663i | \(-0.0503960\pi\) |
−0.981864 | + | 0.189588i | \(0.939285\pi\) | |||||||
\(128\) | 7.27231 | − | 8.66680i | 0.0568149 | − | 0.0677094i | ||||
\(129\) | −113.942 | − | 134.314i | −0.883275 | − | 1.04119i | ||||
\(130\) | 20.3198 | − | 115.239i | 0.156306 | − | 0.886457i | ||||
\(131\) | −1.04303 | − | 2.86571i | −0.00796208 | − | 0.0218756i | 0.935648 | − | 0.352935i | \(-0.114816\pi\) |
−0.943610 | + | 0.331059i | \(0.892594\pi\) | |||||||
\(132\) | 48.0403 | − | 0.259061i | 0.363941 | − | 0.00196258i | ||||
\(133\) | 135.031 | + | 187.185i | 1.01527 | + | 1.40741i | ||||
\(134\) | 37.9190i | 0.282977i | ||||||||
\(135\) | −214.844 | + | 82.1567i | −1.59144 | + | 0.608568i | ||||
\(136\) | 7.13861 | − | 40.4851i | 0.0524898 | − | 0.297684i | ||||
\(137\) | −2.17727 | − | 2.59477i | −0.0158925 | − | 0.0189400i | 0.758040 | − | 0.652208i | \(-0.226157\pi\) |
−0.773932 | + | 0.633269i | \(0.781713\pi\) | |||||||
\(138\) | 61.8372 | − | 74.5071i | 0.448096 | − | 0.539906i | ||||
\(139\) | −43.1708 | − | 244.834i | −0.310581 | − | 1.76139i | −0.595993 | − | 0.802989i | \(-0.703242\pi\) |
0.285412 | − | 0.958405i | \(-0.407870\pi\) | |||||||
\(140\) | 179.247 | − | 103.488i | 1.28033 | − | 0.739201i | ||||
\(141\) | 87.8778 | − | 154.122i | 0.623247 | − | 1.09307i | ||||
\(142\) | −38.7738 | − | 14.1125i | −0.273055 | − | 0.0993838i | ||||
\(143\) | −26.5981 | + | 73.0776i | −0.186001 | + | 0.511032i | ||||
\(144\) | 17.6627 | − | 31.3692i | 0.122658 | − | 0.217842i | ||||
\(145\) | 7.57449 | + | 13.1194i | 0.0522379 | + | 0.0904786i | ||||
\(146\) | −21.5602 | + | 3.80165i | −0.147673 | + | 0.0260387i | ||||
\(147\) | −188.848 | + | 227.541i | −1.28468 | + | 1.54790i | ||||
\(148\) | 6.57147 | − | 5.51412i | 0.0444018 | − | 0.0372575i | ||||
\(149\) | 224.707 | + | 39.6219i | 1.50810 | + | 0.265919i | 0.865744 | − | 0.500487i | \(-0.166846\pi\) |
0.642357 | + | 0.766406i | \(0.277957\pi\) | |||||||
\(150\) | −189.300 | + | 70.0578i | −1.26200 | + | 0.467052i | ||||
\(151\) | −133.370 | −0.883242 | −0.441621 | − | 0.897202i | \(-0.645596\pi\) | ||||
−0.441621 | + | 0.897202i | \(0.645596\pi\) | |||||||
\(152\) | 49.0197 | + | 22.0244i | 0.322498 | + | 0.144897i | ||||
\(153\) | −1.41076 | − | 130.802i | −0.00922068 | − | 0.854917i | ||||
\(154\) | −129.257 | + | 47.0458i | −0.839333 | + | 0.305492i | ||||
\(155\) | −160.966 | − | 28.3827i | −1.03849 | − | 0.183114i | ||||
\(156\) | 37.6993 | + | 44.4393i | 0.241662 | + | 0.284868i | ||||
\(157\) | −104.608 | − | 87.7766i | −0.666293 | − | 0.559086i | 0.245672 | − | 0.969353i | \(-0.420991\pi\) |
−0.911966 | + | 0.410267i | \(0.865436\pi\) | |||||||
\(158\) | −163.393 | + | 28.8106i | −1.03413 | + | 0.182345i | ||||
\(159\) | 30.8787 | + | 52.8237i | 0.194206 | + | 0.332224i | ||||
\(160\) | 24.0958 | − | 41.7351i | 0.150599 | − | 0.260845i | ||||
\(161\) | −94.8197 | + | 260.515i | −0.588942 | + | 1.61810i | ||||
\(162\) | 36.8480 | − | 108.463i | 0.227457 | − | 0.669525i | ||||
\(163\) | −139.857 | + | 242.239i | −0.858017 | + | 1.48613i | 0.0158002 | + | 0.999875i | \(0.494970\pi\) |
−0.873817 | + | 0.486254i | \(0.838363\pi\) | |||||||
\(164\) | −87.6308 | + | 50.5937i | −0.534334 | + | 0.308498i | ||||
\(165\) | 201.331 | − | 36.6205i | 1.22019 | − | 0.221943i | ||||
\(166\) | −30.6496 | − | 25.7180i | −0.184636 | − | 0.154928i | ||||
\(167\) | 22.2697 | + | 26.5400i | 0.133352 | + | 0.158922i | 0.828588 | − | 0.559859i | \(-0.189145\pi\) |
−0.695236 | + | 0.718781i | \(0.744700\pi\) | |||||||
\(168\) | −17.3514 | + | 101.606i | −0.103282 | + | 0.604796i | ||||
\(169\) | 70.1614 | − | 25.5367i | 0.415156 | − | 0.151105i | ||||
\(170\) | − | 175.109i | − | 1.03006i | ||||||
\(171\) | 166.222 | + | 40.1405i | 0.972058 | + | 0.234740i | ||||
\(172\) | 117.422 | 0.682688 | ||||||||
\(173\) | −79.6043 | − | 218.711i | −0.460140 | − | 1.26422i | −0.925380 | − | 0.379040i | \(-0.876254\pi\) |
0.465240 | − | 0.885185i | \(-0.345968\pi\) | |||||||
\(174\) | −7.43672 | − | 1.26998i | −0.0427398 | − | 0.00729875i | ||||
\(175\) | 442.726 | − | 371.491i | 2.52986 | − | 2.12281i | ||||
\(176\) | −20.5868 | + | 24.5343i | −0.116970 | + | 0.139400i | ||||
\(177\) | −4.40512 | − | 24.2183i | −0.0248877 | − | 0.136826i | ||||
\(178\) | 57.8296 | + | 100.164i | 0.324885 | + | 0.562718i | ||||
\(179\) | −171.213 | − | 98.8498i | −0.956497 | − | 0.552234i | −0.0614037 | − | 0.998113i | \(-0.519558\pi\) |
−0.895093 | + | 0.445879i | \(0.852891\pi\) | |||||||
\(180\) | 50.8899 | − | 144.654i | 0.282722 | − | 0.803634i | ||||
\(181\) | −110.758 | − | 40.3125i | −0.611920 | − | 0.222721i | 0.0174230 | − | 0.999848i | \(-0.494454\pi\) |
−0.629343 | + | 0.777127i | \(0.716676\pi\) | |||||||
\(182\) | −144.503 | − | 83.4290i | −0.793974 | − | 0.458401i | ||||
\(183\) | 7.13380 | − | 4.17015i | 0.0389825 | − | 0.0227877i | ||||
\(184\) | 11.2090 | + | 63.5696i | 0.0609186 | + | 0.345487i | ||||
\(185\) | 23.4878 | − | 27.9917i | 0.126961 | − | 0.151306i | ||||
\(186\) | 62.0727 | − | 52.6582i | 0.333724 | − | 0.283109i | ||||
\(187\) | −20.2083 | + | 114.607i | −0.108066 | + | 0.612870i | ||||
\(188\) | 40.4531 | + | 111.144i | 0.215176 | + | 0.591191i | ||||
\(189\) | 5.30582 | + | 327.945i | 0.0280731 | + | 1.73516i | ||||
\(190\) | 221.921 | + | 56.1310i | 1.16801 | + | 0.295426i | ||||
\(191\) | 39.0409i | 0.204403i | 0.994764 | + | 0.102201i | \(0.0325886\pi\) | ||||
−0.994764 | + | 0.102201i | \(0.967411\pi\) | |||||||
\(192\) | 8.32998 | + | 22.5080i | 0.0433853 | + | 0.117229i | ||||
\(193\) | −26.1408 | + | 148.252i | −0.135444 | + | 0.768144i | 0.839105 | + | 0.543970i | \(0.183079\pi\) |
−0.974549 | + | 0.224174i | \(0.928032\pi\) | |||||||
\(194\) | −59.0889 | − | 70.4194i | −0.304582 | − | 0.362987i | ||||
\(195\) | 191.014 | + | 158.532i | 0.979557 | + | 0.812985i | ||||
\(196\) | −34.2318 | − | 194.138i | −0.174652 | − | 0.990501i | ||||
\(197\) | −89.0842 | + | 51.4328i | −0.452204 | + | 0.261080i | −0.708761 | − | 0.705449i | \(-0.750745\pi\) |
0.256557 | + | 0.966529i | \(0.417412\pi\) | |||||||
\(198\) | −50.0003 | + | 88.8013i | −0.252527 | + | 0.448491i | ||||
\(199\) | 61.2944 | + | 22.3093i | 0.308012 | + | 0.112107i | 0.491402 | − | 0.870933i | \(-0.336485\pi\) |
−0.183390 | + | 0.983040i | \(0.558707\pi\) | |||||||
\(200\) | 46.0240 | − | 126.450i | 0.230120 | − | 0.632249i | ||||
\(201\) | −69.8775 | − | 39.8429i | −0.347649 | − | 0.198223i | ||||
\(202\) | 70.9751 | + | 122.932i | 0.351362 | + | 0.608577i | ||||
\(203\) | 21.2732 | − | 3.75104i | 0.104794 | − | 0.0184780i | ||||
\(204\) | 67.1055 | + | 55.6943i | 0.328948 | + | 0.273011i | ||||
\(205\) | −330.177 | + | 277.051i | −1.61062 | + | 1.35147i | ||||
\(206\) | 246.254 | + | 43.4212i | 1.19541 | + | 0.210783i | ||||
\(207\) | 72.3276 | + | 192.242i | 0.349409 | + | 0.928704i | ||||
\(208\) | −38.8506 | −0.186782 | ||||||||
\(209\) | −138.767 | − | 62.3475i | −0.663956 | − | 0.298313i | ||||
\(210\) | 2.36765 | + | 439.056i | 0.0112745 | + | 2.09074i | ||||
\(211\) | −22.4061 | + | 8.15514i | −0.106190 | + | 0.0386500i | −0.394569 | − | 0.918866i | \(-0.629106\pi\) |
0.288379 | + | 0.957516i | \(0.406884\pi\) | |||||||
\(212\) | −40.1716 | − | 7.08333i | −0.189488 | − | 0.0334119i | ||||
\(213\) | 66.7477 | − | 56.6242i | 0.313370 | − | 0.265841i | ||||
\(214\) | −138.975 | − | 116.614i | −0.649415 | − | 0.544924i | ||||
\(215\) | 492.571 | − | 86.8535i | 2.29103 | − | 0.403970i | ||||
\(216\) | 39.2486 | + | 65.5099i | 0.181707 | + | 0.303286i | ||||
\(217\) | −116.533 | + | 201.842i | −0.537020 | + | 0.930146i | ||||
\(218\) | 22.6797 | − | 62.3119i | 0.104035 | − | 0.285835i | ||||
\(219\) | 15.6484 | − | 43.7260i | 0.0714540 | − | 0.199662i | ||||
\(220\) | −68.2114 | + | 118.146i | −0.310052 | + | 0.537025i | ||||
\(221\) | −122.255 | + | 70.5840i | −0.553191 | + | 0.319385i | ||||
\(222\) | 3.25658 | + | 17.9039i | 0.0146693 | + | 0.0806480i | ||||
\(223\) | −90.2170 | − | 75.7011i | −0.404561 | − | 0.339467i | 0.417693 | − | 0.908588i | \(-0.362839\pi\) |
−0.822253 | + | 0.569122i | \(0.807283\pi\) | |||||||
\(224\) | −44.1709 | − | 52.6409i | −0.197192 | − | 0.235004i | ||||
\(225\) | 69.8012 | − | 422.456i | 0.310228 | − | 1.87758i | ||||
\(226\) | 254.246 | − | 92.5381i | 1.12498 | − | 0.409461i | ||||
\(227\) | 31.2746i | 0.137774i | 0.997624 | + | 0.0688869i | \(0.0219447\pi\) | ||||
−0.997624 | + | 0.0688869i | \(0.978055\pi\) | |||||||
\(228\) | −92.0936 | + | 67.1921i | −0.403919 | + | 0.294702i | ||||
\(229\) | 312.463 | 1.36447 | 0.682233 | − | 0.731135i | \(-0.261009\pi\) | ||||
0.682233 | + | 0.731135i | \(0.261009\pi\) | |||||||
\(230\) | 94.0407 | + | 258.375i | 0.408873 | + | 1.12337i | ||||
\(231\) | 49.1191 | − | 287.630i | 0.212637 | − | 1.24515i | ||||
\(232\) | 3.85289 | − | 3.23295i | 0.0166073 | − | 0.0139351i | ||||
\(233\) | −104.883 | + | 124.995i | −0.450144 | + | 0.536460i | −0.942621 | − | 0.333865i | \(-0.891647\pi\) |
0.492477 | + | 0.870325i | \(0.336091\pi\) | |||||||
\(234\) | −121.505 | + | 22.7785i | −0.519253 | + | 0.0973439i | ||||
\(235\) | 251.905 | + | 436.311i | 1.07193 | + | 1.85664i | ||||
\(236\) | 14.2118 | + | 8.20521i | 0.0602197 | + | 0.0347679i | ||||
\(237\) | 118.591 | − | 331.374i | 0.500382 | − | 1.39820i | ||||
\(238\) | −234.635 | − | 85.4002i | −0.985862 | − | 0.358824i | ||||
\(239\) | 117.612 | + | 67.9032i | 0.492100 | + | 0.284114i | 0.725445 | − | 0.688280i | \(-0.241634\pi\) |
−0.233345 | + | 0.972394i | \(0.574967\pi\) | |||||||
\(240\) | 51.5916 | + | 88.2567i | 0.214965 | + | 0.367736i | ||||
\(241\) | 42.2913 | + | 239.846i | 0.175483 | + | 0.995212i | 0.937585 | + | 0.347756i | \(0.113056\pi\) |
−0.762102 | + | 0.647456i | \(0.775833\pi\) | |||||||
\(242\) | −51.7159 | + | 61.6326i | −0.213702 | + | 0.254680i | ||||
\(243\) | 161.159 | + | 181.870i | 0.663206 | + | 0.748437i | ||||
\(244\) | −0.956599 | + | 5.42514i | −0.00392049 | + | 0.0222342i | ||||
\(245\) | −287.196 | − | 789.063i | −1.17223 | − | 3.22067i | ||||
\(246\) | −1.15750 | − | 214.648i | −0.00470530 | − | 0.872551i | ||||
\(247\) | −50.2646 | − | 177.563i | −0.203500 | − | 0.718879i | ||||
\(248\) | 54.2665i | 0.218816i | ||||||||
\(249\) | 79.5981 | − | 29.4584i | 0.319671 | − | 0.118307i | ||||
\(250\) | 47.2310 | − | 267.860i | 0.188924 | − | 1.07144i | ||||
\(251\) | −311.532 | − | 371.269i | −1.24116 | − | 1.47916i | −0.820194 | − | 0.572085i | \(-0.806135\pi\) |
−0.420969 | − | 0.907075i | \(-0.638310\pi\) | |||||||
\(252\) | −169.008 | − | 138.736i | −0.670668 | − | 0.550541i | ||||
\(253\) | −31.7310 | − | 179.955i | −0.125419 | − | 0.711286i | ||||
\(254\) | 5.04219 | − | 2.91111i | 0.0198512 | − | 0.0114611i | ||||
\(255\) | 322.693 | + | 183.994i | 1.26546 | + | 0.721546i | ||||
\(256\) | −15.0351 | − | 5.47232i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 82.5752 | − | 226.873i | 0.321304 | − | 0.882776i | −0.668925 | − | 0.743330i | \(-0.733245\pi\) |
0.990230 | − | 0.139447i | \(-0.0445323\pi\) | |||||||
\(258\) | −123.380 | + | 216.387i | −0.478218 | + | 0.838710i | ||||
\(259\) | −26.0521 | − | 45.1235i | −0.100587 | − | 0.174222i | ||||
\(260\) | −162.973 | + | 28.7366i | −0.626820 | + | 0.110525i | ||||
\(261\) | 10.1544 | − | 12.3700i | 0.0389057 | − | 0.0473948i | ||||
\(262\) | −3.30381 | + | 2.77223i | −0.0126100 | + | 0.0105810i | ||||
\(263\) | 13.8957 | + | 2.45018i | 0.0528353 | + | 0.00931629i | 0.200003 | − | 0.979795i | \(-0.435905\pi\) |
−0.147168 | + | 0.989112i | \(0.547016\pi\) | |||||||
\(264\) | −23.5808 | − | 63.7167i | −0.0893214 | − | 0.241351i | ||||
\(265\) | −173.753 | −0.655673 | ||||||||
\(266\) | 183.442 | − | 269.985i | 0.689632 | − | 1.01498i | ||||
\(267\) | −245.347 | + | 1.32305i | −0.918901 | + | 0.00495525i | ||||
\(268\) | 50.3915 | − | 18.3410i | 0.188028 | − | 0.0684366i | ||||
\(269\) | −171.100 | − | 30.1696i | −0.636060 | − | 0.112154i | −0.153686 | − | 0.988120i | \(-0.549114\pi\) |
−0.482374 | + | 0.875965i | \(0.660225\pi\) | |||||||
\(270\) | 213.098 | + | 245.774i | 0.789253 | + | 0.910274i | ||||
\(271\) | −74.3719 | − | 62.4055i | −0.274435 | − | 0.230278i | 0.495174 | − | 0.868794i | \(-0.335104\pi\) |
−0.769609 | + | 0.638515i | \(0.779549\pi\) | |||||||
\(272\) | −57.2545 | + | 10.0955i | −0.210495 | + | 0.0371159i | ||||
\(273\) | 305.579 | − | 178.630i | 1.11934 | − | 0.654323i | ||||
\(274\) | −2.39514 | + | 4.14850i | −0.00874138 | + | 0.0151405i | ||||
\(275\) | −130.287 | + | 357.959i | −0.473769 | + | 1.30167i | ||||
\(276\) | −128.924 | − | 46.1388i | −0.467117 | − | 0.167170i | ||||
\(277\) | −68.6576 | + | 118.919i | −0.247861 | + | 0.429309i | −0.962932 | − | 0.269743i | \(-0.913061\pi\) |
0.715071 | + | 0.699052i | \(0.246394\pi\) | |||||||
\(278\) | −304.485 | + | 175.794i | −1.09527 | + | 0.632354i | ||||
\(279\) | 31.8169 | + | 169.718i | 0.114039 | + | 0.608309i | ||||
\(280\) | −224.228 | − | 188.149i | −0.800813 | − | 0.671962i | ||||
\(281\) | −86.0142 | − | 102.508i | −0.306100 | − | 0.364796i | 0.590963 | − | 0.806699i | \(-0.298748\pi\) |
−0.897063 | + | 0.441903i | \(0.854304\pi\) | |||||||
\(282\) | −247.323 | − | 42.2358i | −0.877030 | − | 0.149772i | ||||
\(283\) | −274.386 | + | 99.8684i | −0.969563 | + | 0.352892i | −0.777774 | − | 0.628544i | \(-0.783651\pi\) |
−0.191789 | + | 0.981436i | \(0.561429\pi\) | |||||||
\(284\) | 58.3535i | 0.205470i | ||||||||
\(285\) | −336.620 | + | 349.980i | −1.18112 | + | 1.22800i | ||||
\(286\) | 109.980 | 0.384545 | ||||||||
\(287\) | 210.204 | + | 577.532i | 0.732419 | + | 2.01231i | ||||
\(288\) | −50.2307 | − | 8.29947i | −0.174412 | − | 0.0288176i | ||||
\(289\) | 59.5601 | − | 49.9768i | 0.206090 | − | 0.172930i | ||||
\(290\) | 13.7710 | − | 16.4117i | 0.0474863 | − | 0.0565919i | ||||
\(291\) | 191.857 | − | 34.8973i | 0.659301 | − | 0.119922i | ||||
\(292\) | 15.4806 | + | 26.8131i | 0.0530156 | + | 0.0918258i | ||||
\(293\) | 58.3865 | + | 33.7095i | 0.199271 | + | 0.115049i | 0.596316 | − | 0.802750i | \(-0.296631\pi\) |
−0.397044 | + | 0.917799i | \(0.629964\pi\) | |||||||
\(294\) | 393.729 | + | 140.906i | 1.33921 | + | 0.479271i | ||||
\(295\) | 65.6859 | + | 23.9077i | 0.222664 | + | 0.0810431i | ||||
\(296\) | −10.5064 | − | 6.06588i | −0.0354946 | − | 0.0204928i | ||||
\(297\) | −111.107 | − | 185.448i | −0.374097 | − | 0.624404i | ||||
\(298\) | −56.0338 | − | 317.784i | −0.188033 | − | 1.06639i | ||||
\(299\) | 142.482 | − | 169.803i | 0.476527 | − | 0.567903i | ||||
\(300\) | 184.664 | + | 217.679i | 0.615546 | + | 0.725597i | ||||
\(301\) | 123.847 | − | 702.371i | 0.411451 | − | 2.33346i | ||||
\(302\) | 64.5095 | + | 177.238i | 0.213607 | + | 0.586882i | ||||
\(303\) | −301.117 | + | 1.62380i | −0.993787 | + | 0.00535907i | ||||
\(304\) | 5.55848 | − | 75.7965i | 0.0182845 | − | 0.249330i | ||||
\(305\) | 23.4653i | 0.0769354i | ||||||||
\(306\) | −173.144 | + | 65.1425i | −0.565831 | + | 0.212884i | ||||
\(307\) | 82.8576 | − | 469.909i | 0.269894 | − | 1.53065i | −0.484832 | − | 0.874607i | \(-0.661119\pi\) |
0.754726 | − | 0.656040i | \(-0.227770\pi\) | |||||||
\(308\) | 125.041 | + | 149.018i | 0.405977 | + | 0.483824i | ||||
\(309\) | −338.765 | + | 408.175i | −1.09633 | + | 1.32095i | ||||
\(310\) | 40.1391 | + | 227.640i | 0.129481 | + | 0.734324i | ||||
\(311\) | −156.621 | + | 90.4250i | −0.503604 | + | 0.290756i | −0.730200 | − | 0.683233i | \(-0.760573\pi\) |
0.226597 | + | 0.973989i | \(0.427240\pi\) | |||||||
\(312\) | 40.8219 | − | 71.5944i | 0.130839 | − | 0.229469i | ||||
\(313\) | 53.6095 | + | 19.5123i | 0.171276 | + | 0.0623395i | 0.426235 | − | 0.904612i | \(-0.359840\pi\) |
−0.254959 | + | 0.966952i | \(0.582062\pi\) | |||||||
\(314\) | −66.0508 | + | 181.473i | −0.210353 | + | 0.577939i | ||||
\(315\) | −811.585 | − | 456.970i | −2.57646 | − | 1.45070i | ||||
\(316\) | 117.318 | + | 203.202i | 0.371261 | + | 0.643043i | ||||
\(317\) | 227.835 | − | 40.1735i | 0.718723 | − | 0.126730i | 0.197687 | − | 0.980265i | \(-0.436657\pi\) |
0.521036 | + | 0.853535i | \(0.325546\pi\) | |||||||
\(318\) | 55.2630 | − | 66.5858i | 0.173783 | − | 0.209389i | ||||
\(319\) | −10.9069 | + | 9.15198i | −0.0341909 | + | 0.0286896i | ||||
\(320\) | −67.1178 | − | 11.8347i | −0.209743 | − | 0.0369834i | ||||
\(321\) | 360.923 | − | 133.574i | 1.12437 | − | 0.416118i | ||||
\(322\) | 392.068 | 1.21760 | ||||||||
\(323\) | −120.216 | − | 248.615i | −0.372186 | − | 0.769705i | ||||
\(324\) | −161.962 | + | 3.49409i | −0.499884 | + | 0.0107842i | ||||
\(325\) | −434.222 | + | 158.044i | −1.33607 | + | 0.486288i | ||||
\(326\) | 389.565 | + | 68.6908i | 1.19498 | + | 0.210708i | ||||
\(327\) | 90.9987 | + | 107.268i | 0.278283 | + | 0.328036i | ||||
\(328\) | 109.621 | + | 91.9832i | 0.334211 | + | 0.280437i | ||||
\(329\) | 707.482 | − | 124.748i | 2.15040 | − | 0.379173i | ||||
\(330\) | −146.048 | − | 249.841i | −0.442568 | − | 0.757093i | ||||
\(331\) | 190.773 | − | 330.429i | 0.576354 | − | 0.998275i | −0.419539 | − | 0.907737i | \(-0.637808\pi\) |
0.995893 | − | 0.0905374i | \(-0.0288585\pi\) | |||||||
\(332\) | −19.3525 | + | 53.1706i | −0.0582907 | + | 0.160152i | ||||
\(333\) | −36.4152 | − | 12.8110i | −0.109355 | − | 0.0384715i | ||||
\(334\) | 24.4981 | − | 42.4320i | 0.0733476 | − | 0.127042i | ||||
\(335\) | 197.819 | − | 114.211i | 0.590505 | − | 0.340928i | ||||
\(336\) | 143.419 | − | 26.0869i | 0.426843 | − | 0.0776395i | ||||
\(337\) | 410.579 | + | 344.517i | 1.21834 | + | 1.02230i | 0.998910 | + | 0.0466757i | \(0.0148627\pi\) |
0.219425 | + | 0.975629i | \(0.429582\pi\) | |||||||
\(338\) | −67.8727 | − | 80.8875i | −0.200807 | − | 0.239312i | ||||
\(339\) | −96.6162 | + | 565.761i | −0.285003 | + | 1.66891i | ||||
\(340\) | −232.707 | + | 84.6986i | −0.684434 | + | 0.249114i | ||||
\(341\) | − | 153.620i | − | 0.450498i | ||||||
\(342\) | −27.0560 | − | 240.312i | −0.0791111 | − | 0.702667i | ||||
\(343\) | −602.120 | −1.75545 | ||||||||
\(344\) | −56.7960 | − | 156.046i | −0.165105 | − | 0.453621i | ||||
\(345\) | −574.948 | − | 98.1850i | −1.66651 | − | 0.284594i | ||||
\(346\) | −252.147 | + | 211.576i | −0.728748 | + | 0.611492i | ||||
\(347\) | −353.924 | + | 421.790i | −1.01995 | + | 1.21553i | −0.0436675 | + | 0.999046i | \(0.513904\pi\) |
−0.976286 | + | 0.216487i | \(0.930540\pi\) | |||||||
\(348\) | 1.90935 | + | 10.4971i | 0.00548663 | + | 0.0301642i | ||||
\(349\) | −155.846 | − | 269.933i | −0.446549 | − | 0.773446i | 0.551610 | − | 0.834102i | \(-0.314014\pi\) |
−0.998159 | + | 0.0606568i | \(0.980680\pi\) | |||||||
\(350\) | −707.827 | − | 408.664i | −2.02236 | − | 1.16761i | ||||
\(351\) | 85.6939 | − | 247.845i | 0.244142 | − | 0.706112i | ||||
\(352\) | 42.5619 | + | 15.4913i | 0.120915 | + | 0.0440093i | ||||
\(353\) | 76.4005 | + | 44.1099i | 0.216432 | + | 0.124957i | 0.604297 | − | 0.796759i | \(-0.293454\pi\) |
−0.387865 | + | 0.921716i | \(0.626787\pi\) | |||||||
\(354\) | −30.0536 | + | 17.5682i | −0.0848971 | + | 0.0496277i | ||||
\(355\) | 43.1622 | + | 244.785i | 0.121584 | + | 0.689536i | ||||
\(356\) | 105.139 | − | 125.299i | 0.295334 | − | 0.351965i | ||||
\(357\) | 403.916 | − | 342.655i | 1.13142 | − | 0.959817i | ||||
\(358\) | −48.5502 | + | 275.342i | −0.135615 | + | 0.769112i | ||||
\(359\) | 84.2759 | + | 231.546i | 0.234752 | + | 0.644975i | 0.999999 | + | 0.00123905i | \(0.000394401\pi\) |
−0.765247 | + | 0.643736i | \(0.777383\pi\) | |||||||
\(360\) | −216.850 | + | 2.33882i | −0.602360 | + | 0.00649673i | ||||
\(361\) | 353.612 | − | 72.6602i | 0.979535 | − | 0.201275i | ||||
\(362\) | 166.687i | 0.460462i | ||||||||
\(363\) | −59.2373 | − | 160.062i | −0.163188 | − | 0.440943i | ||||
\(364\) | −40.9763 | + | 232.388i | −0.112572 | + | 0.638429i | ||||
\(365\) | 84.7717 | + | 101.027i | 0.232251 | + | 0.276786i | ||||
\(366\) | −8.99237 | − | 7.46323i | −0.0245693 | − | 0.0203913i | ||||
\(367\) | 5.13325 | + | 29.1121i | 0.0139870 | + | 0.0793245i | 0.991002 | − | 0.133845i | \(-0.0427324\pi\) |
−0.977015 | + | 0.213170i | \(0.931621\pi\) | |||||||
\(368\) | 79.0576 | − | 45.6439i | 0.214830 | − | 0.124032i | ||||
\(369\) | 396.771 | + | 223.405i | 1.07526 | + | 0.605435i | ||||
\(370\) | −48.5597 | − | 17.6743i | −0.131242 | − | 0.0477683i | ||||
\(371\) | −84.7389 | + | 232.818i | −0.228407 | + | 0.627542i | ||||
\(372\) | −100.003 | − | 57.0198i | −0.268825 | − | 0.153279i | ||||
\(373\) | 316.231 | + | 547.729i | 0.847805 | + | 1.46844i | 0.883162 | + | 0.469067i | \(0.155410\pi\) |
−0.0353571 | + | 0.999375i | \(0.511257\pi\) | |||||||
\(374\) | 162.078 | − | 28.5788i | 0.433365 | − | 0.0764139i | ||||
\(375\) | 443.989 | + | 368.489i | 1.18397 | + | 0.982637i | ||||
\(376\) | 128.135 | − | 107.518i | 0.340785 | − | 0.285953i | ||||
\(377\) | −17.0089 | − | 2.99913i | −0.0451165 | − | 0.00795526i | ||||
\(378\) | 433.248 | − | 165.675i | 1.14616 | − | 0.438293i | ||||
\(379\) | 417.890 | 1.10261 | 0.551305 | − | 0.834304i | \(-0.314130\pi\) | ||||
0.551305 | + | 0.834304i | \(0.314130\pi\) | |||||||
\(380\) | −32.7471 | − | 322.067i | −0.0861766 | − | 0.847545i | ||||
\(381\) | 0.0666017 | + | 12.3506i | 0.000174808 | + | 0.0324163i | ||||
\(382\) | 51.8824 | − | 18.8837i | 0.135818 | − | 0.0494337i | ||||
\(383\) | −137.292 | − | 24.2084i | −0.358466 | − | 0.0632072i | −0.00848491 | − | 0.999964i | \(-0.502701\pi\) |
−0.349981 | + | 0.936757i | \(0.613812\pi\) | |||||||
\(384\) | 25.8824 | − | 21.9568i | 0.0674020 | − | 0.0571792i | ||||
\(385\) | 634.753 | + | 532.621i | 1.64871 | + | 1.38343i | ||||
\(386\) | 209.660 | − | 36.9686i | 0.543160 | − | 0.0957737i | ||||
\(387\) | −269.120 | − | 454.732i | −0.695401 | − | 1.17502i | ||||
\(388\) | −65.0015 | + | 112.586i | −0.167530 | + | 0.290170i | ||||
\(389\) | −125.322 | + | 344.319i | −0.322164 | + | 0.885138i | 0.667866 | + | 0.744281i | \(0.267208\pi\) |
−0.990030 | + | 0.140856i | \(0.955014\pi\) | |||||||
\(390\) | 118.286 | − | 330.523i | 0.303298 | − | 0.847495i | ||||
\(391\) | 165.852 | − | 287.264i | 0.424174 | − | 0.734691i | ||||
\(392\) | −241.438 | + | 139.394i | −0.615913 | + | 0.355597i | ||||
\(393\) | −1.63725 | − | 9.00118i | −0.00416602 | − | 0.0229038i | ||||
\(394\) | 111.439 | + | 93.5088i | 0.282841 | + | 0.237332i | ||||
\(395\) | 642.437 | + | 765.626i | 1.62642 | + | 1.93829i | ||||
\(396\) | 142.195 | + | 23.4945i | 0.359078 | + | 0.0593295i | ||||
\(397\) | −289.854 | + | 105.498i | −0.730111 | + | 0.265739i | −0.680212 | − | 0.733016i | \(-0.738112\pi\) |
−0.0498991 | + | 0.998754i | \(0.515890\pi\) | |||||||
\(398\) | − | 92.2465i | − | 0.231775i | ||||||
\(399\) | 304.782 | + | 621.733i | 0.763865 | + | 1.55823i | ||||
\(400\) | −190.304 | −0.475759 | ||||||||
\(401\) | −221.741 | − | 609.230i | −0.552971 | − | 1.51928i | −0.829633 | − | 0.558309i | \(-0.811450\pi\) |
0.276662 | − | 0.960967i | \(-0.410772\pi\) | |||||||
\(402\) | −19.1493 | + | 112.134i | −0.0476350 | + | 0.278939i | ||||
\(403\) | 142.751 | − | 119.782i | 0.354220 | − | 0.297226i | ||||
\(404\) | 129.038 | − | 153.782i | 0.319402 | − | 0.380648i | ||||
\(405\) | −676.825 | + | 134.455i | −1.67117 | + | 0.331989i | ||||
\(406\) | −15.2745 | − | 26.4562i | −0.0376218 | − | 0.0651629i | ||||
\(407\) | 29.7420 | + | 17.1715i | 0.0730761 | + | 0.0421905i | ||||
\(408\) | 41.5554 | − | 116.117i | 0.101851 | − | 0.284600i | ||||
\(409\) | −600.731 | − | 218.648i | −1.46878 | − | 0.534593i | −0.521012 | − | 0.853550i | \(-0.674445\pi\) |
−0.947769 | + | 0.318957i | \(0.896667\pi\) | |||||||
\(410\) | 527.883 | + | 304.774i | 1.28752 | + | 0.743350i | ||||
\(411\) | −5.12824 | − | 8.77277i | −0.0124775 | − | 0.0213449i | ||||
\(412\) | −61.4069 | − | 348.256i | −0.149046 | − | 0.845281i | ||||
\(413\) | 64.0695 | − | 76.3551i | 0.155132 | − | 0.184879i | ||||
\(414\) | 220.491 | − | 189.103i | 0.532587 | − | 0.456771i | ||||
\(415\) | −41.8526 | + | 237.358i | −0.100850 | + | 0.571946i | ||||
\(416\) | 18.7917 | + | 51.6296i | 0.0451722 | + | 0.124110i | ||||
\(417\) | −4.02190 | − | 745.821i | −0.00964484 | − | 1.78854i | ||||
\(418\) | −15.7352 | + | 214.568i | −0.0376440 | + | 0.513320i | ||||
\(419\) | − | 566.346i | − | 1.35166i | −0.737057 | − | 0.675830i | \(-0.763785\pi\) | ||
0.737057 | − | 0.675830i | \(-0.236215\pi\) | |||||||
\(420\) | 582.328 | − | 215.513i | 1.38650 | − | 0.513127i | ||||
\(421\) | −93.6908 | + | 531.347i | −0.222544 | + | 1.26211i | 0.644782 | + | 0.764366i | \(0.276948\pi\) |
−0.867326 | + | 0.497741i | \(0.834163\pi\) | |||||||
\(422\) | 21.6752 | + | 25.8315i | 0.0513629 | + | 0.0612120i | ||||
\(423\) | 337.704 | − | 411.390i | 0.798354 | − | 0.972553i | ||||
\(424\) | 10.0173 | + | 56.8112i | 0.0236258 | + | 0.133989i | ||||
\(425\) | −598.847 | + | 345.745i | −1.40905 | + | 0.813517i | ||||
\(426\) | −107.535 | − | 61.3143i | −0.252428 | − | 0.143930i | ||||
\(427\) | 31.4419 | + | 11.4439i | 0.0736345 | + | 0.0268008i | ||||
\(428\) | −87.7504 | + | 241.092i | −0.205024 | + | 0.563299i | ||||
\(429\) | −115.560 | + | 202.672i | −0.269371 | + | 0.472430i | ||||
\(430\) | −353.673 | − | 612.580i | −0.822496 | − | 1.42460i | ||||
\(431\) | 159.107 | − | 28.0548i | 0.369157 | − | 0.0650923i | 0.0140075 | − | 0.999902i | \(-0.495541\pi\) |
0.355149 | + | 0.934810i | \(0.384430\pi\) | |||||||
\(432\) | 68.0736 | − | 83.8450i | 0.157578 | − | 0.194086i | ||||
\(433\) | −319.948 | + | 268.468i | −0.738909 | + | 0.620018i | −0.932544 | − | 0.361055i | \(-0.882417\pi\) |
0.193635 | + | 0.981074i | \(0.437972\pi\) | |||||||
\(434\) | 324.599 | + | 57.2355i | 0.747923 | + | 0.131879i | ||||
\(435\) | 15.7738 | + | 42.6217i | 0.0362617 | + | 0.0979810i | ||||
\(436\) | −93.7779 | −0.215087 | ||||||||
\(437\) | 310.895 | + | 302.271i | 0.711430 | + | 0.691697i | ||||
\(438\) | −65.6775 | + | 0.354171i | −0.149949 | + | 0.000808610i | ||||
\(439\) | −240.892 | + | 87.6774i | −0.548728 | + | 0.199721i | −0.601481 | − | 0.798887i | \(-0.705423\pi\) |
0.0527531 | + | 0.998608i | \(0.483200\pi\) | |||||||
\(440\) | 190.000 | + | 33.5021i | 0.431818 | + | 0.0761411i | ||||
\(441\) | −673.368 | + | 577.512i | −1.52691 | + | 1.30955i | ||||
\(442\) | 152.934 | + | 128.327i | 0.346006 | + | 0.290333i | ||||
\(443\) | −380.283 | + | 67.0542i | −0.858427 | + | 0.151364i | −0.585501 | − | 0.810671i | \(-0.699102\pi\) |
−0.272925 | + | 0.962035i | \(0.587991\pi\) | |||||||
\(444\) | 22.2177 | − | 12.9877i | 0.0500399 | − | 0.0292515i | ||||
\(445\) | 348.363 | − | 603.382i | 0.782837 | − | 1.35591i | ||||
\(446\) | −56.9641 | + | 156.508i | −0.127722 | + | 0.350914i | ||||
\(447\) | 644.492 | + | 230.648i | 1.44182 | + | 0.515990i | ||||
\(448\) | −48.5908 | + | 84.1617i | −0.108462 | + | 0.187861i | ||||
\(449\) | 481.346 | − | 277.905i | 1.07204 | − | 0.618943i | 0.143303 | − | 0.989679i | \(-0.454228\pi\) |
0.928738 | + | 0.370736i | \(0.120894\pi\) | |||||||
\(450\) | −595.175 | + | 111.577i | −1.32261 | + | 0.247948i | ||||
\(451\) | −310.321 | − | 260.390i | −0.688072 | − | 0.577361i | ||||
\(452\) | −245.953 | − | 293.115i | −0.544143 | − | 0.648484i | ||||
\(453\) | −394.399 | − | 67.3523i | −0.870638 | − | 0.148681i | ||||
\(454\) | 41.5617 | − | 15.1272i | 0.0915455 | − | 0.0333199i | ||||
\(455\) | 1005.14i | 2.20911i | ||||||||
\(456\) | 133.838 | + | 89.8855i | 0.293504 | + | 0.197117i | ||||
\(457\) | 473.945 | 1.03708 | 0.518539 | − | 0.855054i | \(-0.326476\pi\) | ||||
0.518539 | + | 0.855054i | \(0.326476\pi\) | |||||||
\(458\) | −151.135 | − | 415.240i | −0.329989 | − | 0.906637i | ||||
\(459\) | 61.8840 | − | 387.520i | 0.134823 | − | 0.844270i | ||||
\(460\) | 297.874 | − | 249.946i | 0.647553 | − | 0.543361i | ||||
\(461\) | −188.516 | + | 224.665i | −0.408929 | + | 0.487343i | −0.930721 | − | 0.365730i | \(-0.880819\pi\) |
0.521792 | + | 0.853073i | \(0.325264\pi\) | |||||||
\(462\) | −405.997 | + | 73.8478i | −0.878781 | + | 0.159844i | ||||
\(463\) | 74.5008 | + | 129.039i | 0.160909 | + | 0.278702i | 0.935195 | − | 0.354133i | \(-0.115224\pi\) |
−0.774286 | + | 0.632836i | \(0.781891\pi\) | |||||||
\(464\) | −6.15996 | − | 3.55645i | −0.0132758 | − | 0.00766477i | ||||
\(465\) | −461.674 | − | 165.222i | −0.992847 | − | 0.355315i | ||||
\(466\) | 216.840 | + | 78.9235i | 0.465323 | + | 0.169364i | ||||
\(467\) | 158.727 | + | 91.6413i | 0.339887 | + | 0.196234i | 0.660222 | − | 0.751070i | \(-0.270462\pi\) |
−0.320335 | + | 0.947304i | \(0.603795\pi\) | |||||||
\(468\) | 89.0418 | + | 150.454i | 0.190260 | + | 0.321483i | ||||
\(469\) | −56.5595 | − | 320.765i | −0.120596 | − | 0.683934i | ||||
\(470\) | 457.982 | − | 545.802i | 0.974430 | − | 1.16128i | ||||
\(471\) | −265.018 | − | 312.400i | −0.562671 | − | 0.663269i | ||||
\(472\) | 4.03000 | − | 22.8553i | 0.00853814 | − | 0.0484222i | ||||
\(473\) | 160.780 | + | 441.740i | 0.339916 | + | 0.933912i | ||||
\(474\) | −497.733 | + | 2.68406i | −1.05007 | + | 0.00566258i | ||||
\(475\) | −246.213 | − | 869.765i | −0.518344 | − | 1.83108i | ||||
\(476\) | 353.120i | 0.741849i | ||||||||
\(477\) | 64.6381 | + | 171.804i | 0.135510 | + | 0.360175i | ||||
\(478\) | 33.3508 | − | 189.142i | 0.0697715 | − | 0.395694i | ||||
\(479\) | −288.279 | − | 343.558i | −0.601836 | − | 0.717240i | 0.375998 | − | 0.926620i | \(-0.377300\pi\) |
−0.977834 | + | 0.209380i | \(0.932855\pi\) | |||||||
\(480\) | 92.3323 | − | 111.250i | 0.192359 | − | 0.231771i | ||||
\(481\) | 7.23414 | + | 41.0269i | 0.0150398 | + | 0.0852949i | ||||
\(482\) | 298.282 | − | 172.213i | 0.618842 | − | 0.357289i | ||||
\(483\) | −411.961 | + | 722.507i | −0.852922 | + | 1.49587i | ||||
\(484\) | 106.920 | + | 38.9155i | 0.220908 | + | 0.0804040i | ||||
\(485\) | −189.396 | + | 520.362i | −0.390508 | + | 1.07291i | ||||
\(486\) | 163.741 | − | 302.137i | 0.336916 | − | 0.621681i | ||||
\(487\) | −176.103 | − | 305.019i | −0.361607 | − | 0.626321i | 0.626619 | − | 0.779326i | \(-0.284438\pi\) |
−0.988225 | + | 0.153005i | \(0.951105\pi\) | |||||||
\(488\) | 7.67231 | − | 1.35284i | 0.0157219 | − | 0.00277220i | ||||
\(489\) | −535.915 | + | 645.718i | −1.09594 | + | 1.32049i | ||||
\(490\) | −909.693 | + | 763.323i | −1.85652 | + | 1.55780i | ||||
\(491\) | −171.676 | − | 30.2711i | −0.349645 | − | 0.0616518i | −0.00393231 | − | 0.999992i | \(-0.501252\pi\) |
−0.345713 | + | 0.938340i | \(0.612363\pi\) | |||||||
\(492\) | −284.691 | + | 105.361i | −0.578640 | + | 0.214148i | ||||
\(493\) | −25.8455 | −0.0524250 | ||||||||
\(494\) | −211.656 | + | 152.683i | −0.428453 | + | 0.309076i | ||||
\(495\) | 613.867 | − | 6.62084i | 1.24013 | − | 0.0133754i | ||||
\(496\) | 72.1161 | − | 26.2481i | 0.145395 | − | 0.0529196i | ||||
\(497\) | 349.046 | + | 61.5462i | 0.702306 | + | 0.123835i | ||||
\(498\) | −77.6488 | − | 91.5313i | −0.155921 | − | 0.183798i | ||||
\(499\) | −704.174 | − | 590.872i | −1.41117 | − | 1.18411i | −0.955876 | − | 0.293771i | \(-0.905090\pi\) |
−0.455294 | − | 0.890341i | \(-0.650466\pi\) | |||||||
\(500\) | −378.812 | + | 66.7948i | −0.757624 | + | 0.133590i | ||||
\(501\) | 52.4530 | + | 89.7303i | 0.104697 | + | 0.179102i | ||||
\(502\) | −342.705 | + | 593.582i | −0.682679 | + | 1.18243i | ||||
\(503\) | 0.356531 | − | 0.979560i | 0.000708809 | − | 0.00194744i | −0.939338 | − | 0.342994i | \(-0.888559\pi\) |
0.940047 | + | 0.341046i | \(0.110781\pi\) | |||||||
\(504\) | −102.623 | + | 291.705i | −0.203617 | + | 0.578779i | ||||
\(505\) | 427.550 | − | 740.539i | 0.846635 | − | 1.46641i | ||||
\(506\) | −223.799 | + | 129.211i | −0.442291 | + | 0.255357i | ||||
\(507\) | 220.377 | − | 40.0849i | 0.434668 | − | 0.0790629i | ||||
\(508\) | −6.30751 | − | 5.29263i | −0.0124164 | − | 0.0104186i | ||||
\(509\) | −225.338 | − | 268.548i | −0.442708 | − | 0.527599i | 0.497836 | − | 0.867271i | \(-0.334128\pi\) |
−0.940544 | + | 0.339672i | \(0.889684\pi\) | |||||||
\(510\) | 88.4312 | − | 517.832i | 0.173394 | − | 1.01536i | ||||
\(511\) | 176.712 | − | 64.3180i | 0.345817 | − | 0.125867i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 471.279 | + | 202.646i | 0.918672 | + | 0.395022i | ||||
\(514\) | −341.439 | −0.664278 | ||||||||
\(515\) | −515.187 | − | 1415.46i | −1.00036 | − | 2.74847i | ||||
\(516\) | 347.240 | + | 59.2989i | 0.672946 | + | 0.114920i | ||||
\(517\) | −362.730 | + | 304.367i | −0.701606 | + | 0.588718i | ||||
\(518\) | −47.3647 | + | 56.4471i | −0.0914377 | + | 0.108971i | ||||
\(519\) | −124.955 | − | 686.970i | −0.240761 | − | 1.32364i | ||||
\(520\) | 117.017 | + | 202.680i | 0.225033 | + | 0.389769i | ||||
\(521\) | −379.653 | − | 219.193i | −0.728701 | − | 0.420716i | 0.0892460 | − | 0.996010i | \(-0.471554\pi\) |
−0.817947 | + | 0.575294i | \(0.804888\pi\) | |||||||
\(522\) | −21.3504 | − | 7.51116i | −0.0409012 | − | 0.0143892i | ||||
\(523\) | 513.796 | + | 187.007i | 0.982402 | + | 0.357565i | 0.782774 | − | 0.622307i | \(-0.213804\pi\) |
0.199628 | + | 0.979872i | \(0.436027\pi\) | |||||||
\(524\) | 5.28210 | + | 3.04962i | 0.0100804 | + | 0.00581989i | ||||
\(525\) | 1496.83 | − | 874.992i | 2.85111 | − | 1.66665i | ||||
\(526\) | −3.46508 | − | 19.6515i | −0.00658761 | − | 0.0373602i | ||||
\(527\) | 179.247 | − | 213.618i | 0.340127 | − | 0.405348i | ||||
\(528\) | −73.2689 | + | 62.1563i | −0.138767 | + | 0.117720i | ||||
\(529\) | 1.41672 | − | 8.03464i | 0.00267812 | − | 0.0151884i | ||||
\(530\) | 84.0427 | + | 230.906i | 0.158571 | + | 0.435671i | ||||
\(531\) | −0.796427 | − | 73.8426i | −0.00149986 | − | 0.139063i | ||||
\(532\) | −447.520 | − | 113.192i | −0.841202 | − | 0.212767i | ||||
\(533\) | − | 491.399i | − | 0.921949i | ||||||
\(534\) | 120.430 | + | 325.408i | 0.225524 | + | 0.609378i | ||||
\(535\) | −189.773 | + | 1076.25i | −0.354715 | + | 2.01169i | ||||
\(536\) | −48.7477 | − | 58.0952i | −0.0909472 | − | 0.108387i | ||||
\(537\) | −456.389 | − | 378.781i | −0.849887 | − | 0.705365i | ||||
\(538\) | 42.6662 | + | 241.972i | 0.0793052 | + | 0.449762i | ||||
\(539\) | 683.472 | − | 394.603i | 1.26804 | − | 0.732102i | ||||
\(540\) | 223.542 | − | 402.070i | 0.413967 | − | 0.744574i | ||||
\(541\) | −825.271 | − | 300.374i | −1.52545 | − | 0.555220i | −0.562951 | − | 0.826490i | \(-0.690334\pi\) |
−0.962503 | + | 0.271270i | \(0.912556\pi\) | |||||||
\(542\) | −46.9593 | + | 129.020i | −0.0866408 | + | 0.238044i | ||||
\(543\) | −307.173 | − | 175.145i | −0.565696 | − | 0.322550i | ||||
\(544\) | 41.1096 | + | 71.2039i | 0.0755691 | + | 0.130890i | ||||
\(545\) | −393.385 | + | 69.3645i | −0.721808 | + | 0.127274i | ||||
\(546\) | −385.192 | − | 319.690i | −0.705479 | − | 0.585514i | ||||
\(547\) | 362.676 | − | 304.321i | 0.663027 | − | 0.556346i | −0.247965 | − | 0.968769i | \(-0.579762\pi\) |
0.910992 | + | 0.412423i | \(0.135317\pi\) | |||||||
\(548\) | 6.67155 | + | 1.17637i | 0.0121744 | + | 0.00214667i | ||||
\(549\) | 23.2019 | − | 8.72933i | 0.0422622 | − | 0.0159004i | ||||
\(550\) | 538.720 | 0.979490 | ||||||||
\(551\) | 8.28474 | − | 32.7548i | 0.0150358 | − | 0.0594461i | ||||
\(552\) | 1.04426 | + | 193.648i | 0.00189178 | + | 0.350811i | ||||
\(553\) | 1339.20 | − | 487.430i | 2.42170 | − | 0.881428i | ||||
\(554\) | 191.243 | + | 33.7213i | 0.345204 | + | 0.0608687i | ||||
\(555\) | 83.5938 | − | 70.9152i | 0.150619 | − | 0.127775i | ||||
\(556\) | 380.894 | + | 319.608i | 0.685061 | + | 0.574834i | ||||
\(557\) | 552.703 | − | 97.4565i | 0.992285 | − | 0.174967i | 0.346142 | − | 0.938182i | \(-0.387492\pi\) |
0.646144 | + | 0.763216i | \(0.276381\pi\) | |||||||
\(558\) | 210.153 | − | 124.373i | 0.376619 | − | 0.222891i | ||||
\(559\) | −285.121 | + | 493.844i | −0.510055 | + | 0.883442i | ||||
\(560\) | −141.580 | + | 388.988i | −0.252821 | + | 0.694621i | ||||
\(561\) | −117.637 | + | 328.709i | −0.209691 | + | 0.585933i | ||||
\(562\) | −94.6210 | + | 163.888i | −0.168365 | + | 0.291616i | ||||
\(563\) | −762.795 | + | 440.400i | −1.35487 | + | 0.782237i | −0.988928 | − | 0.148398i | \(-0.952588\pi\) |
−0.365947 | + | 0.930636i | \(0.619255\pi\) | |||||||
\(564\) | 63.4991 | + | 349.102i | 0.112587 | + | 0.618976i | ||||
\(565\) | −1248.55 | − | 1047.65i | −2.20981 | − | 1.85425i | ||||
\(566\) | 265.436 | + | 316.334i | 0.468967 | + | 0.558894i | ||||
\(567\) | −149.924 | + | 972.475i | −0.264416 | + | 1.71512i | ||||
\(568\) | 77.5475 | − | 28.2250i | 0.136527 | − | 0.0496919i | ||||
\(569\) | 201.748i | 0.354567i | 0.984160 | + | 0.177283i | \(0.0567309\pi\) | ||||
−0.984160 | + | 0.177283i | \(0.943269\pi\) | |||||||
\(570\) | 627.917 | + | 278.062i | 1.10161 | + | 0.487827i | ||||
\(571\) | 790.673 | 1.38472 | 0.692358 | − | 0.721554i | \(-0.256572\pi\) | ||||
0.692358 | + | 0.721554i | \(0.256572\pi\) | |||||||
\(572\) | −53.1962 | − | 146.155i | −0.0930003 | − | 0.255516i | ||||
\(573\) | −19.7159 | + | 115.451i | −0.0344081 | + | 0.201486i | ||||
\(574\) | 665.823 | − | 558.692i | 1.15997 | − | 0.973331i | ||||
\(575\) | 697.923 | − | 831.752i | 1.21378 | − | 1.44653i | ||||
\(576\) | 13.2667 | + | 70.7672i | 0.0230324 | + | 0.122860i | ||||
\(577\) | 211.685 | + | 366.649i | 0.366871 | + | 0.635439i | 0.989075 | − | 0.147416i | \(-0.0470957\pi\) |
−0.622203 | + | 0.782856i | \(0.713762\pi\) | |||||||
\(578\) | −95.2241 | − | 54.9776i | −0.164748 | − | 0.0951170i | ||||
\(579\) | −152.171 | + | 425.207i | −0.262817 | + | 0.734382i | ||||
\(580\) | −28.4708 | − | 10.3625i | −0.0490875 | − | 0.0178664i | ||||
\(581\) | 297.632 | + | 171.838i | 0.512276 | + | 0.295763i | ||||
\(582\) | −139.175 | − | 238.084i | −0.239132 | − | 0.409078i | ||||
\(583\) | −28.3575 | − | 160.823i | −0.0486406 | − | 0.275855i | ||||
\(584\) | 28.1449 | − | 33.5418i | 0.0481933 | − | 0.0574345i | ||||
\(585\) | 484.804 | + | 565.272i | 0.828724 | + | 0.966277i | ||||
\(586\) | 16.5564 | − | 93.8962i | 0.0282533 | − | 0.160232i | ||||
\(587\) | −144.339 | − | 396.567i | −0.245892 | − | 0.675582i | −0.999826 | − | 0.0186328i | \(-0.994069\pi\) |
0.753934 | − | 0.656950i | \(-0.228154\pi\) | |||||||
\(588\) | −3.18912 | − | 591.391i | −0.00542367 | − | 1.00577i | ||||
\(589\) | 213.268 | + | 295.640i | 0.362084 | + | 0.501936i | ||||
\(590\) | − | 98.8556i | − | 0.167552i | ||||||
\(591\) | −289.413 | + | 107.108i | −0.489700 | + | 0.181233i | ||||
\(592\) | −2.97926 | + | 16.8962i | −0.00503254 | + | 0.0285409i | ||||
\(593\) | 432.781 | + | 515.768i | 0.729816 | + | 0.869761i | 0.995545 | − | 0.0942867i | \(-0.0300570\pi\) |
−0.265729 | + | 0.964048i | \(0.585613\pi\) | |||||||
\(594\) | −192.706 | + | 237.352i | −0.324420 | + | 0.399582i | ||||
\(595\) | 261.191 | + | 1481.29i | 0.438977 | + | 2.48956i | ||||
\(596\) | −395.208 | + | 228.173i | −0.663101 | + | 0.382841i | ||||
\(597\) | 169.993 | + | 96.9269i | 0.284745 | + | 0.162357i | ||||
\(598\) | −294.572 | − | 107.216i | −0.492596 | − | 0.179290i | ||||
\(599\) | 18.1441 | − | 49.8506i | 0.0302907 | − | 0.0832231i | −0.923625 | − | 0.383296i | \(-0.874789\pi\) |
0.953916 | + | 0.300073i | \(0.0970111\pi\) | |||||||
\(600\) | 199.959 | − | 350.694i | 0.333266 | − | 0.584489i | ||||
\(601\) | 311.796 | + | 540.046i | 0.518795 | + | 0.898579i | 0.999761 | + | 0.0218398i | \(0.00695238\pi\) |
−0.480967 | + | 0.876739i | \(0.659714\pi\) | |||||||
\(602\) | −993.302 | + | 175.146i | −1.65000 | + | 0.290940i | ||||
\(603\) | −186.520 | − | 153.112i | −0.309320 | − | 0.253916i | ||||
\(604\) | 204.334 | − | 171.457i | 0.338301 | − | 0.283869i | ||||
\(605\) | 477.298 | + | 84.1604i | 0.788922 | + | 0.139108i | ||||
\(606\) | 147.805 | + | 399.377i | 0.243903 | + | 0.659039i | ||||
\(607\) | 924.767 | 1.52350 | 0.761752 | − | 0.647868i | \(-0.224339\pi\) | ||||
0.761752 | + | 0.647868i | \(0.224339\pi\) | |||||||
\(608\) | −103.416 | + | 29.2751i | −0.170093 | + | 0.0481499i | ||||
\(609\) | 64.8031 | − | 0.349456i | 0.106409 | − | 0.000573819i | ||||
\(610\) | 31.1836 | − | 11.3499i | 0.0511207 | − | 0.0186064i | ||||
\(611\) | −565.665 | − | 99.7420i | −0.925802 | − | 0.163244i | ||||
\(612\) | 170.318 | + | 198.587i | 0.278297 | + | 0.324489i | ||||
\(613\) | −491.577 | − | 412.482i | −0.801919 | − | 0.672890i | 0.146745 | − | 0.989174i | \(-0.453120\pi\) |
−0.948665 | + | 0.316284i | \(0.897565\pi\) | |||||||
\(614\) | −664.551 | + | 117.178i | −1.08233 | + | 0.190844i | ||||
\(615\) | −1116.31 | + | 652.552i | −1.81513 | + | 1.06106i | ||||
\(616\) | 137.553 | − | 238.248i | 0.223300 | − | 0.386767i | ||||
\(617\) | 125.232 | − | 344.071i | 0.202969 | − | 0.557652i | −0.795889 | − | 0.605443i | \(-0.792996\pi\) |
0.998857 | + | 0.0477909i | \(0.0152181\pi\) | |||||||
\(618\) | 706.291 | + | 252.764i | 1.14287 | + | 0.409004i | ||||
\(619\) | −162.660 | + | 281.735i | −0.262778 | + | 0.455146i | −0.966979 | − | 0.254855i | \(-0.917972\pi\) |
0.704201 | + | 0.710001i | \(0.251306\pi\) | |||||||
\(620\) | 283.102 | − | 163.449i | 0.456617 | − | 0.263628i | ||||
\(621\) | 116.803 | + | 605.021i | 0.188089 | + | 0.974269i | ||||
\(622\) | 195.924 | + | 164.400i | 0.314990 | + | 0.264308i | ||||
\(623\) | −638.597 | − | 761.050i | −1.02504 | − | 1.22159i | ||||
\(624\) | −114.889 | − | 19.6198i | −0.184117 | − | 0.0314420i | ||||
\(625\) | −421.989 | + | 153.591i | −0.675182 | + | 0.245746i | ||||
\(626\) | − | 80.6809i | − | 0.128883i | ||||||
\(627\) | −378.874 | − | 254.451i | −0.604265 | − | 0.405824i | ||||
\(628\) | 273.112 | 0.434892 | ||||||||
\(629\) | 21.3220 | + | 58.5818i | 0.0338983 | + | 0.0931348i | ||||
\(630\) | −214.724 | + | 1299.57i | −0.340832 | + | 2.06281i | ||||
\(631\) | −663.927 | + | 557.101i | −1.05218 | + | 0.882885i | −0.993321 | − | 0.115381i | \(-0.963191\pi\) |
−0.0588605 | + | 0.998266i | \(0.518747\pi\) | |||||||
\(632\) | 213.294 | − | 254.194i | 0.337491 | − | 0.402206i | ||||
\(633\) | −70.3774 | + | 12.8011i | −0.111181 | + | 0.0202229i | ||||
\(634\) | −163.589 | − | 283.344i | −0.258027 | − | 0.446916i | ||||
\(635\) | −30.3739 | − | 17.5364i | −0.0478329 | − | 0.0276164i | ||||
\(636\) | −115.218 | − | 41.2336i | −0.181160 | − | 0.0648327i | ||||
\(637\) | 899.609 | + | 327.431i | 1.41226 | + | 0.514020i | ||||
\(638\) | 17.4379 | + | 10.0678i | 0.0273321 | + | 0.0157802i | ||||
\(639\) | 225.981 | − | 133.740i | 0.353648 | − | 0.209296i | ||||
\(640\) | 16.7368 | + | 94.9189i | 0.0261512 | + | 0.148311i | ||||
\(641\) | −117.814 | + | 140.405i | −0.183797 | + | 0.219041i | −0.850074 | − | 0.526664i | \(-0.823443\pi\) |
0.666277 | + | 0.745705i | \(0.267887\pi\) | |||||||
\(642\) | −352.084 | − | 415.032i | −0.548418 | − | 0.646467i | ||||
\(643\) | 106.740 | − | 605.354i | 0.166004 | − | 0.941453i | −0.782020 | − | 0.623253i | \(-0.785811\pi\) |
0.948024 | − | 0.318200i | \(-0.103078\pi\) | |||||||
\(644\) | −189.639 | − | 521.030i | −0.294471 | − | 0.809052i | ||||
\(645\) | 1500.49 | − | 8.09149i | 2.32634 | − | 0.0125449i | ||||
\(646\) | −272.244 | + | 280.010i | −0.421430 | + | 0.433453i | ||||
\(647\) | − | 1074.66i | − | 1.66100i | −0.557022 | − | 0.830498i | \(-0.688056\pi\) | ||
0.557022 | − | 0.830498i | \(-0.311944\pi\) | |||||||
\(648\) | 82.9829 | + | 213.546i | 0.128060 | + | 0.329546i | ||||
\(649\) | −11.4083 | + | 64.6996i | −0.0175783 | + | 0.0996913i | ||||
\(650\) | 420.057 | + | 500.604i | 0.646241 | + | 0.770160i | ||||
\(651\) | −446.543 | + | 538.034i | −0.685933 | + | 0.826474i | ||||
\(652\) | −97.1435 | − | 550.928i | −0.148993 | − | 0.844982i | ||||
\(653\) | 71.7012 | − | 41.3967i | 0.109803 | − | 0.0633946i | −0.444093 | − | 0.895981i | \(-0.646474\pi\) |
0.553896 | + | 0.832586i | \(0.313141\pi\) | |||||||
\(654\) | 98.5360 | − | 172.815i | 0.150667 | − | 0.264243i | ||||
\(655\) | 24.4134 | + | 8.88575i | 0.0372724 | + | 0.0135660i | ||||
\(656\) | 69.2162 | − | 190.170i | 0.105512 | − | 0.289893i | ||||
\(657\) | 68.3572 | − | 121.403i | 0.104044 | − | 0.184784i | ||||
\(658\) | −507.982 | − | 879.851i | −0.772010 | − | 1.33716i | ||||
\(659\) | 807.468 | − | 142.378i | 1.22529 | − | 0.216052i | 0.476691 | − | 0.879071i | \(-0.341836\pi\) |
0.748603 | + | 0.663019i | \(0.230725\pi\) | |||||||
\(660\) | −261.378 | + | 314.932i | −0.396027 | + | 0.477169i | ||||
\(661\) | 594.252 | − | 498.637i | 0.899020 | − | 0.754367i | −0.0709785 | − | 0.997478i | \(-0.522612\pi\) |
0.969999 | + | 0.243110i | \(0.0781677\pi\) | |||||||
\(662\) | −531.391 | − | 93.6985i | −0.802705 | − | 0.141539i | ||||
\(663\) | −397.177 | + | 146.991i | −0.599060 | + | 0.221706i | ||||
\(664\) | 80.0203 | 0.120513 | ||||||||
\(665\) | −1961.01 | − | 143.809i | −2.94888 | − | 0.216254i | ||||
\(666\) | 0.588775 | + | 54.5897i | 0.000884047 | + | 0.0819665i | ||||
\(667\) | 38.1352 | − | 13.8801i | 0.0571742 | − | 0.0208097i | ||||
\(668\) | −68.2384 | − | 12.0323i | −0.102153 | − | 0.0180124i | ||||
\(669\) | −228.559 | − | 269.423i | −0.341643 | − | 0.402724i | ||||
\(670\) | −247.461 | − | 207.645i | −0.369345 | − | 0.309917i | ||||
\(671\) | −21.7191 | + | 3.82966i | −0.0323682 | + | 0.00570739i | ||||
\(672\) | −104.038 | − | 177.976i | −0.154818 | − | 0.264845i | ||||
\(673\) | 366.352 | − | 634.541i | 0.544357 | − | 0.942854i | −0.454290 | − | 0.890854i | \(-0.650107\pi\) |
0.998647 | − | 0.0520005i | \(-0.0165597\pi\) | |||||||
\(674\) | 259.244 | − | 712.268i | 0.384636 | − | 1.05678i | ||||
\(675\) | 419.758 | − | 1214.03i | 0.621863 | − | 1.79857i | ||||
\(676\) | −74.6642 | + | 129.322i | −0.110450 | + | 0.191305i | ||||
\(677\) | −1029.46 | + | 594.358i | −1.52062 | + | 0.877930i | −0.520914 | + | 0.853609i | \(0.674409\pi\) |
−0.999704 | + | 0.0243206i | \(0.992258\pi\) | |||||||
\(678\) | 798.587 | − | 145.257i | 1.17786 | − | 0.214243i | ||||
\(679\) | 604.883 | + | 507.557i | 0.890844 | + | 0.747507i | ||||
\(680\) | 225.116 | + | 268.283i | 0.331053 | + | 0.394534i | ||||
\(681\) | −15.7939 | + | 92.4850i | −0.0231921 | + | 0.135808i | ||||
\(682\) | −204.149 | + | 74.3042i | −0.299339 | + | 0.108950i | ||||
\(683\) | 370.504i | 0.542465i | 0.962514 | + | 0.271233i | \(0.0874312\pi\) | ||||
−0.962514 | + | 0.271233i | \(0.912569\pi\) | |||||||
\(684\) | −306.270 | + | 152.192i | −0.447764 | + | 0.222503i | ||||
\(685\) | 28.8564 | 0.0421261 | ||||||||
\(686\) | 291.239 | + | 800.173i | 0.424547 | + | 1.16643i | ||||
\(687\) | 924.012 | + | 157.795i | 1.34500 | + | 0.229688i | ||||
\(688\) | −179.902 | + | 150.955i | −0.261485 | + | 0.219412i | ||||
\(689\) | 127.334 | − | 151.750i | 0.184809 | − | 0.220247i | ||||
\(690\) | 147.616 | + | 811.554i | 0.213936 | + | 1.17616i | ||||
\(691\) | −24.2035 | − | 41.9217i | −0.0350268 | − | 0.0606681i | 0.847981 | − | 0.530027i | \(-0.177818\pi\) |
−0.883007 | + | 0.469359i | \(0.844485\pi\) | |||||||
\(692\) | 403.130 | + | 232.747i | 0.582558 | + | 0.336340i | ||||
\(693\) | 290.509 | − | 825.770i | 0.419205 | − | 1.19159i | ||||
\(694\) | 731.717 | + | 266.323i | 1.05435 | + | 0.383751i | ||||
\(695\) | 1834.20 | + | 1058.98i | 2.63914 | + | 1.52371i | ||||
\(696\) | 13.0264 | − | 7.61473i | 0.0187160 | − | 0.0109407i | ||||
\(697\) | −127.692 | − | 724.179i | −0.183203 | − | 1.03899i | ||||
\(698\) | −283.339 | + | 337.671i | −0.405930 | + | 0.483769i | ||||
\(699\) | −373.284 | + | 316.668i | −0.534025 | + | 0.453030i | ||||
\(700\) | −200.716 | + | 1138.32i | −0.286737 | + | 1.62617i | ||||
\(701\) | 252.826 | + | 694.635i | 0.360665 | + | 0.990920i | 0.978795 | + | 0.204843i | \(0.0656685\pi\) |
−0.618129 | + | 0.786076i | \(0.712109\pi\) | |||||||
\(702\) | −370.817 | + | 5.99945i | −0.528230 | + | 0.00854623i | ||||
\(703\) | −81.0772 | + | 8.24376i | −0.115330 | + | 0.0117265i | ||||
\(704\) | − | 64.0546i | − | 0.0909867i | ||||||
\(705\) | 524.590 | + | 1417.47i | 0.744099 | + | 2.01059i | ||||
\(706\) | 21.6646 | − | 122.866i | 0.0306864 | − | 0.174031i | ||||
\(707\) | −783.759 | − | 934.048i | −1.10857 | − | 1.32114i | ||||
\(708\) | 37.8834 | + | 31.4414i | 0.0535077 | + | 0.0444088i | ||||
\(709\) | 97.2579 | + | 551.577i | 0.137176 | + | 0.777965i | 0.973320 | + | 0.229454i | \(0.0736940\pi\) |
−0.836143 | + | 0.548511i | \(0.815195\pi\) | |||||||
\(710\) | 304.424 | − | 175.759i | 0.428767 | − | 0.247548i | ||||
\(711\) | 518.041 | − | 920.048i | 0.728609 | − | 1.29402i | ||||
\(712\) | −217.368 | − | 79.1156i | −0.305292 | − | 0.111117i | ||||
\(713\) | −149.758 | + | 411.458i | −0.210040 | + | 0.577079i | ||||
\(714\) | −650.733 | − | 371.037i | −0.911391 | − | 0.519659i | ||||
\(715\) | −331.257 | − | 573.754i | −0.463296 | − | 0.802453i | ||||
\(716\) | 389.392 | − | 68.6604i | 0.543844 | − | 0.0958944i | ||||
\(717\) | 313.509 | + | 260.197i | 0.437251 | + | 0.362897i | ||||
\(718\) | 266.944 | − | 223.993i | 0.371789 | − | 0.311968i | ||||
\(719\) | −870.235 | − | 153.446i | −1.21034 | − | 0.213416i | −0.468177 | − | 0.883635i | \(-0.655089\pi\) |
−0.742164 | + | 0.670219i | \(0.766200\pi\) | |||||||
\(720\) | 107.996 | + | 287.046i | 0.149994 | + | 0.398675i | ||||
\(721\) | −2147.88 | −2.97903 | ||||||||
\(722\) | −267.599 | − | 434.779i | −0.370635 | − | 0.602187i | ||||
\(723\) | 3.93997 | + | 730.628i | 0.00544947 | + | 1.01055i | ||||
\(724\) | 221.515 | − | 80.6249i | 0.305960 | − | 0.111360i | ||||
\(725\) | −83.3155 | − | 14.6908i | −0.114918 | − | 0.0202631i | ||||
\(726\) | −184.058 | + | 156.142i | −0.253524 | + | 0.215072i | ||||
\(727\) | −177.796 | − | 149.189i | −0.244562 | − | 0.205212i | 0.512265 | − | 0.858828i | \(-0.328807\pi\) |
−0.756826 | + | 0.653616i | \(0.773251\pi\) | |||||||
\(728\) | 328.646 | − | 57.9492i | 0.451437 | − | 0.0796006i | ||||
\(729\) | 384.733 | + | 619.211i | 0.527754 | + | 0.849397i | ||||
\(730\) | 93.2542 | − | 161.521i | 0.127745 | − | 0.221262i | ||||
\(731\) | −291.857 | + | 801.872i | −0.399258 | + | 1.09695i | ||||
\(732\) | −5.56857 | + | 15.5601i | −0.00760733 | + | 0.0212569i | ||||
\(733\) | 291.375 | − | 504.676i | 0.397510 | − | 0.688508i | −0.595908 | − | 0.803053i | \(-0.703208\pi\) |
0.993418 | + | 0.114545i | \(0.0365409\pi\) | |||||||
\(734\) | 36.2049 | − | 20.9029i | 0.0493255 | − | 0.0284781i | ||||
\(735\) | −450.811 | − | 2478.44i | −0.613348 | − | 3.37203i | ||||
\(736\) | −98.8967 | − | 82.9842i | −0.134370 | − | 0.112750i | ||||
\(737\) | 137.997 | + | 164.458i | 0.187241 | + | 0.223146i | ||||
\(738\) | 104.975 | − | 635.338i | 0.142243 | − | 0.860892i | ||||
\(739\) | −92.5804 | + | 33.6965i | −0.125278 | + | 0.0455974i | −0.403898 | − | 0.914804i | \(-0.632345\pi\) |
0.278620 | + | 0.960401i | \(0.410123\pi\) | |||||||
\(740\) | 73.0811i | 0.0987582i | ||||||||
\(741\) | −58.9716 | − | 550.472i | −0.0795838 | − | 0.742877i | ||||
\(742\) | 350.386 | 0.472218 | ||||||||
\(743\) | 419.244 | + | 1151.86i | 0.564258 | + | 1.55029i | 0.813330 | + | 0.581802i | \(0.197652\pi\) |
−0.249072 | + | 0.968485i | \(0.580126\pi\) | |||||||
\(744\) | −27.4048 | + | 160.476i | −0.0368345 | + | 0.215694i | ||||
\(745\) | −1489.07 | + | 1249.48i | −1.99875 | + | 1.67715i | ||||
\(746\) | 574.933 | − | 685.179i | 0.770688 | − | 0.918470i | ||||
\(747\) | 250.263 | − | 46.9166i | 0.335025 | − | 0.0628067i | ||||
\(748\) | −116.375 | − | 201.567i | −0.155581 | − | 0.269475i | ||||
\(749\) | 1349.56 | + | 779.168i | 1.80181 | + | 1.04028i | ||||
\(750\) | 274.942 | − | 768.262i | 0.366589 | − | 1.02435i | ||||
\(751\) | −460.380 | − | 167.565i | −0.613023 | − | 0.223122i | 0.0168025 | − | 0.999859i | \(-0.494651\pi\) |
−0.629825 | + | 0.776737i | \(0.716874\pi\) | |||||||
\(752\) | −204.861 | − | 118.277i | −0.272422 | − | 0.157283i | ||||
\(753\) | −733.766 | − | 1255.24i | −0.974457 | − | 1.66698i | ||||
\(754\) | 4.24141 | + | 24.0542i | 0.00562522 | + | 0.0319022i | ||||
\(755\) | 730.332 | − | 870.376i | 0.967328 | − | 1.15282i | ||||
\(756\) | −429.727 | − | 495.620i | −0.568422 | − | 0.655582i | ||||
\(757\) | −239.561 | + | 1358.62i | −0.316461 | + | 1.79474i | 0.247445 | + | 0.968902i | \(0.420409\pi\) |
−0.563906 | + | 0.825839i | \(0.690702\pi\) | |||||||
\(758\) | −202.129 | − | 555.344i | −0.266661 | − | 0.732644i | ||||
\(759\) | −2.95614 | − | 548.186i | −0.00389478 | − | 0.722248i | ||||
\(760\) | −412.164 | + | 199.299i | −0.542321 | + | 0.262236i | ||||
\(761\) | − | 1007.79i | − | 1.32430i | −0.749371 | − | 0.662151i | \(-0.769644\pi\) | ||
0.749371 | − | 0.662151i | \(-0.230356\pi\) | |||||||
\(762\) | 16.3808 | − | 6.06238i | 0.0214972 | − | 0.00795587i | ||||
\(763\) | −98.9087 | + | 560.939i | −0.129631 | + | 0.735176i | ||||
\(764\) | −50.1900 | − | 59.8141i | −0.0656937 | − | 0.0782907i | ||||
\(765\) | 861.348 | + | 707.067i | 1.12594 | + | 0.924271i | ||||
\(766\) | 34.2358 | + | 194.161i | 0.0446943 | + | 0.253474i | ||||
\(767\) | −69.0174 | + | 39.8472i | −0.0899836 | + | 0.0519521i | ||||
\(768\) | −41.6980 | − | 23.7755i | −0.0542943 | − | 0.0309577i | ||||
\(769\) | 761.604 | + | 277.201i | 0.990382 | + | 0.360470i | 0.785868 | − | 0.618394i | \(-0.212216\pi\) |
0.204514 | + | 0.978864i | \(0.434439\pi\) | |||||||
\(770\) | 400.791 | − | 1101.16i | 0.520507 | − | 1.43008i | ||||
\(771\) | 358.763 | − | 629.207i | 0.465321 | − | 0.816092i | ||||
\(772\) | −150.539 | − | 260.741i | −0.194998 | − | 0.337747i | ||||
\(773\) | −1468.79 | + | 258.988i | −1.90012 | + | 0.335042i | −0.995780 | − | 0.0917707i | \(-0.970747\pi\) |
−0.904340 | + | 0.426813i | \(0.859636\pi\) | |||||||
\(774\) | −474.135 | + | 577.590i | −0.612578 | + | 0.746241i | ||||
\(775\) | 699.242 | − | 586.734i | 0.902248 | − | 0.757076i | ||||
\(776\) | 181.059 | + | 31.9256i | 0.233323 | + | 0.0411412i | ||||
\(777\) | −54.2533 | − | 146.595i | −0.0698241 | − | 0.188668i | ||||
\(778\) | 518.191 | 0.666055 | ||||||||
\(779\) | 958.705 | + | 70.3060i | 1.23069 | + | 0.0902516i | ||||
\(780\) | −496.455 | + | 2.67717i | −0.636480 | + | 0.00343227i | ||||
\(781\) | −219.525 | + | 79.9005i | −0.281082 | + | 0.102305i | ||||
\(782\) | −461.974 | − | 81.4585i | −0.590759 | − | 0.104167i | ||||
\(783\) | 36.2754 | − | 31.4525i | 0.0463287 | − | 0.0401693i | ||||
\(784\) | 302.026 | + | 253.429i | 0.385237 | + | 0.323252i | ||||
\(785\) | 1145.67 | − | 202.012i | 1.45945 | − | 0.257340i | ||||
\(786\) | −11.1700 | + | 6.52956i | −0.0142112 | + | 0.00830733i | ||||
\(787\) | −259.338 | + | 449.187i | −0.329528 | + | 0.570759i | −0.982418 | − | 0.186694i | \(-0.940223\pi\) |
0.652891 | + | 0.757452i | \(0.273556\pi\) | |||||||
\(788\) | 70.3642 | − | 193.324i | 0.0892946 | − | 0.245335i | ||||
\(789\) | 39.8548 | + | 14.2630i | 0.0505131 | + | 0.0180774i | ||||
\(790\) | 706.721 | − | 1224.08i | 0.894583 | − | 1.54946i | ||||
\(791\) | −2012.70 | + | 1162.03i | −2.54450 | + | 1.46907i | ||||
\(792\) | −37.5558 | − | 200.331i | −0.0474189 | − | 0.252943i | ||||
\(793\) | −20.4938 | − | 17.1963i | −0.0258433 | − | 0.0216851i | ||||
\(794\) | 280.399 | + | 334.166i | 0.353147 | + | 0.420864i | ||||
\(795\) | −513.822 | − | 87.7464i | −0.646317 | − | 0.110373i | ||||
\(796\) | −122.589 | + | 44.6187i | −0.154006 | + | 0.0560536i | ||||
\(797\) | 443.426i | 0.556368i | 0.960528 | + | 0.278184i | \(0.0897326\pi\) | ||||
−0.960528 | + | 0.278184i | \(0.910267\pi\) | |||||||
\(798\) | 678.817 | − | 705.758i | 0.850648 | − | 0.884409i | ||||
\(799\) | −859.544 | −1.07577 | ||||||||
\(800\) | 92.0479 | + | 252.900i | 0.115060 | + | 0.316125i | ||||
\(801\) | −726.205 | − | 119.989i | −0.906623 | − | 0.149799i | ||||
\(802\) | −702.367 | + | 589.356i | −0.875770 | + | 0.734858i | ||||
\(803\) | −79.6737 | + | 94.9514i | −0.0992200 | + | 0.118246i | ||||
\(804\) | 158.280 | − | 28.7899i | 0.196865 | − | 0.0358083i | ||||
\(805\) | −1180.90 | − | 2045.38i | −1.46696 | − | 2.54084i | ||||
\(806\) | −228.229 | − | 131.768i | −0.283162 | − | 0.163484i | ||||
\(807\) | −490.739 | − | 175.624i | −0.608103 | − | 0.217625i | ||||
\(808\) | −266.779 | − | 97.0997i | −0.330172 | − | 0.120173i | ||||
\(809\) | −1137.41 | − | 656.683i | −1.40594 | − | 0.811721i | −0.410949 | − | 0.911658i | \(-0.634803\pi\) |
−0.994994 | + | 0.0999370i | \(0.968136\pi\) | |||||||
\(810\) | 506.055 | + | 834.416i | 0.624759 | + | 1.03014i | ||||
\(811\) | 243.635 | + | 1381.72i | 0.300414 | + | 1.70373i | 0.644345 | + | 0.764735i | \(0.277130\pi\) |
−0.343931 | + | 0.938995i | \(0.611759\pi\) | |||||||
\(812\) | −27.7702 | + | 33.0952i | −0.0341997 | + | 0.0407576i | ||||
\(813\) | −188.417 | − | 222.103i | −0.231755 | − | 0.273189i | ||||
\(814\) | 8.43382 | − | 47.8306i | 0.0103610 | − | 0.0587599i | ||||
\(815\) | −815.007 | − | 2239.21i | −1.00001 | − | 2.74750i | ||||
\(816\) | −174.411 | + | 0.940523i | −0.213739 | + | 0.00115260i | ||||
\(817\) | −922.682 | − | 626.918i | −1.12935 | − | 0.767342i | ||||
\(818\) | 904.085i | 1.10524i | ||||||||
\(819\) | 993.864 | − | 373.924i | 1.21351 | − | 0.456562i | ||||
\(820\) | 149.690 | − | 848.934i | 0.182549 | − | 1.03529i | ||||
\(821\) | 591.956 | + | 705.466i | 0.721019 | + | 0.859277i | 0.994729 | − | 0.102535i | \(-0.0326955\pi\) |
−0.273711 | + | 0.961812i | \(0.588251\pi\) | |||||||
\(822\) | −9.17789 | + | 11.0583i | −0.0111653 | + | 0.0134530i | ||||
\(823\) | −140.502 | − | 796.829i | −0.170720 | − | 0.968200i | −0.942969 | − | 0.332880i | \(-0.891979\pi\) |
0.772249 | − | 0.635320i | \(-0.219132\pi\) | |||||||
\(824\) | −433.104 | + | 250.053i | −0.525612 | + | 0.303462i | ||||
\(825\) | −566.053 | + | 992.758i | −0.686125 | + | 1.20334i | ||||
\(826\) | −132.460 | − | 48.2115i | −0.160363 | − | 0.0583674i | ||||
\(827\) | −105.325 | + | 289.379i | −0.127358 | + | 0.349914i | −0.986941 | − | 0.161083i | \(-0.948501\pi\) |
0.859583 | + | 0.510997i | \(0.170724\pi\) | |||||||
\(828\) | −357.953 | − | 201.549i | −0.432311 | − | 0.243416i | ||||
\(829\) | −18.2896 | − | 31.6786i | −0.0220623 | − | 0.0382130i | 0.854783 | − | 0.518985i | \(-0.173690\pi\) |
−0.876846 | + | 0.480772i | \(0.840357\pi\) | |||||||
\(830\) | 335.674 | − | 59.1885i | 0.404427 | − | 0.0713114i | ||||
\(831\) | −263.088 | + | 316.992i | −0.316592 | + | 0.381459i | ||||
\(832\) | 59.5226 | − | 49.9454i | 0.0715416 | − | 0.0600306i | ||||
\(833\) | 1410.85 | + | 248.770i | 1.69369 | + | 0.298644i | ||||
\(834\) | −989.196 | + | 366.091i | −1.18609 | + | 0.438958i | ||||
\(835\) | −295.151 | −0.353474 | ||||||||
\(836\) | 292.756 | − | 82.8733i | 0.350186 | − | 0.0991307i | ||||
\(837\) | 8.38001 | + | 517.957i | 0.0100120 | + | 0.618825i | ||||
\(838\) | −752.632 | + | 273.936i | −0.898128 | + | 0.326892i | ||||
\(839\) | 651.579 | + | 114.891i | 0.776614 | + | 0.136938i | 0.547887 | − | 0.836553i | \(-0.315433\pi\) |
0.228727 | + | 0.973491i | \(0.426544\pi\) | |||||||
\(840\) | −568.067 | − | 669.630i | −0.676271 | − | 0.797178i | ||||
\(841\) | 641.821 | + | 538.552i | 0.763164 | + | 0.640371i | ||||
\(842\) | 751.438 | − | 132.499i | 0.892444 | − | 0.157362i | ||||
\(843\) | −202.593 | − | 346.572i | −0.240324 | − | 0.411118i | ||||
\(844\) | 23.8440 | − | 41.2991i | 0.0282512 | − | 0.0489326i | ||||
\(845\) | −217.551 | + | 597.716i | −0.257456 | + | 0.707356i | ||||
\(846\) | −710.050 | − | 249.798i | −0.839303 | − | 0.295270i | ||||
\(847\) | 345.546 | − | 598.503i | 0.407964 | − | 0.706615i | ||||
\(848\) | 70.6525 | − | 40.7913i | 0.0833167 | − | 0.0481029i | ||||
\(849\) | −861.846 | + | 156.763i | −1.01513 | + | 0.184645i | ||||
\(850\) | 749.125 | + | 628.591i | 0.881324 | + | 0.739519i | ||||
\(851\) | −62.9215 | − | 74.9869i | −0.0739383 | − | 0.0881162i | ||||
\(852\) | −29.4688 | + | 172.562i | −0.0345878 | + | 0.202538i | ||||
\(853\) | 950.513 | − | 345.958i | 1.11432 | − | 0.405578i | 0.281742 | − | 0.959490i | \(-0.409088\pi\) |
0.832575 | + | 0.553912i | \(0.186865\pi\) | |||||||
\(854\) | − | 47.3193i | − | 0.0554091i | ||||||
\(855\) | −1172.19 | + | 864.963i | −1.37098 | + | 1.01165i | ||||
\(856\) | 362.838 | 0.423876 | ||||||||
\(857\) | 255.515 | + | 702.020i | 0.298150 | + | 0.819160i | 0.994809 | + | 0.101758i | \(0.0324468\pi\) |
−0.696659 | + | 0.717402i | \(0.745331\pi\) | |||||||
\(858\) | 325.232 | + | 55.5405i | 0.379058 | + | 0.0647325i | ||||
\(859\) | −190.355 | + | 159.726i | −0.221600 | + | 0.185945i | −0.746828 | − | 0.665017i | \(-0.768424\pi\) |
0.525228 | + | 0.850961i | \(0.323980\pi\) | |||||||
\(860\) | −643.006 | + | 766.304i | −0.747681 | + | 0.891051i | ||||
\(861\) | 329.958 | + | 1814.03i | 0.383226 | + | 2.10688i | ||||
\(862\) | −114.241 | − | 197.871i | −0.132530 | − | 0.229549i | ||||
\(863\) | −472.879 | − | 273.017i | −0.547948 | − | 0.316358i | 0.200346 | − | 0.979725i | \(-0.435793\pi\) |
−0.748294 | + | 0.663367i | \(0.769127\pi\) | |||||||
\(864\) | −144.350 | − | 49.9099i | −0.167072 | − | 0.0577660i | ||||
\(865\) | 1863.23 | + | 678.161i | 2.15402 | + | 0.784001i | ||||
\(866\) | 511.529 | + | 295.332i | 0.590681 | + | 0.341030i | ||||
\(867\) | 201.369 | − | 117.713i | 0.232259 | − | 0.135770i | ||||
\(868\) | −80.9433 | − | 459.052i | −0.0932526 | − | 0.528862i | ||||
\(869\) | −603.802 | + | 719.583i | −0.694824 | + | 0.828059i | ||||
\(870\) | 49.0115 | − | 41.5779i | 0.0563350 | − | 0.0477907i | ||||
\(871\) | −45.2220 | + | 256.467i | −0.0519197 | + | 0.294451i | ||||
\(872\) | 45.3594 | + | 124.624i | 0.0520176 | + | 0.142917i | ||||
\(873\) | 584.979 | − | 6.30928i | 0.670079 | − | 0.00722712i | ||||
\(874\) | 251.320 | − | 559.362i | 0.287551 | − | 0.640002i | ||||
\(875\) | 2336.34i | 2.67010i | ||||||||
\(876\) | 32.2382 | + | 87.1093i | 0.0368016 | + | 0.0994398i | ||||
\(877\) | −182.657 | + | 1035.90i | −0.208274 | + | 1.18118i | 0.683929 | + | 0.729548i | \(0.260270\pi\) |
−0.892203 | + | 0.451634i | \(0.850841\pi\) | |||||||
\(878\) | 233.034 | + | 277.719i | 0.265414 | + | 0.316308i | ||||
\(879\) | 155.636 | + | 129.171i | 0.177061 | + | 0.146952i | ||||
\(880\) | −47.3791 | − | 268.700i | −0.0538399 | − | 0.305341i | ||||
\(881\) | 1377.12 | − | 795.079i | 1.56313 | − | 0.902474i | 0.566193 | − | 0.824273i | \(-0.308416\pi\) |
0.996938 | − | 0.0782007i | \(-0.0249175\pi\) | |||||||
\(882\) | 1093.17 | + | 615.520i | 1.23942 | + | 0.697868i | ||||
\(883\) | 221.240 | + | 80.5247i | 0.250555 | + | 0.0911945i | 0.464244 | − | 0.885707i | \(-0.346326\pi\) |
−0.213690 | + | 0.976902i | \(0.568548\pi\) | |||||||
\(884\) | 96.5647 | − | 265.309i | 0.109236 | − | 0.300124i | ||||
\(885\) | 182.172 | + | 103.871i | 0.205844 | + | 0.117369i | ||||
\(886\) | 273.049 | + | 472.935i | 0.308182 | + | 0.533786i | ||||
\(887\) | 1060.94 | − | 187.073i | 1.19610 | − | 0.210905i | 0.460088 | − | 0.887873i | \(-0.347818\pi\) |
0.736012 | + | 0.676968i | \(0.236707\pi\) | |||||||
\(888\) | −28.0061 | − | 23.2437i | −0.0315384 | − | 0.0261754i | ||||
\(889\) | −38.3109 | + | 32.1466i | −0.0430943 | + | 0.0361604i | ||||
\(890\) | −970.349 | − | 171.099i | −1.09028 | − | 0.192246i | ||||
\(891\) | −234.911 | − | 604.514i | −0.263649 | − | 0.678467i | ||||
\(892\) | 235.540 | 0.264058 | ||||||||
\(893\) | 275.525 | − | 1089.33i | 0.308539 | − | 1.21985i | ||||
\(894\) | −5.22025 | − | 968.044i | −0.00583921 | − | 1.08282i | ||||
\(895\) | 1582.66 | − | 576.042i | 1.76834 | − | 0.643622i | ||||
\(896\) | 135.348 | + | 23.8654i | 0.151058 | + | 0.0266355i | ||||
\(897\) | 507.096 | − | 430.185i | 0.565325 | − | 0.479582i | ||||
\(898\) | −602.138 | − | 505.254i | −0.670532 | − | 0.562643i | ||||
\(899\) | 33.5989 | − | 5.92439i | 0.0373736 | − | 0.00658998i | ||||
\(900\) | 436.157 | + | 736.974i | 0.484619 | + | 0.818860i | ||||
\(901\) | 148.220 | − | 256.724i | 0.164506 | − | 0.284932i | ||||
\(902\) | −195.940 | + | 538.341i | −0.217228 | + | 0.596830i | ||||
\(903\) | 720.940 | − | 2014.50i | 0.798383 | − | 2.23090i | ||||
\(904\) | −270.563 | + | 468.629i | −0.299296 | + | 0.518395i | ||||
\(905\) | 869.590 | − | 502.058i | 0.960873 | − | 0.554760i | ||||
\(906\) | 101.260 | + | 556.705i | 0.111766 | + | 0.614464i | ||||
\(907\) | 779.219 | + | 653.842i | 0.859117 | + | 0.720885i | 0.961778 | − | 0.273832i | \(-0.0882912\pi\) |
−0.102661 | + | 0.994716i | \(0.532736\pi\) | |||||||
\(908\) | −40.2059 | − | 47.9155i | −0.0442796 | − | 0.0527704i | ||||
\(909\) | −891.281 | − | 147.264i | −0.980508 | − | 0.162007i | ||||
\(910\) | 1335.76 | − | 486.178i | 1.46787 | − | 0.534261i | ||||
\(911\) | 1324.85i | 1.45428i | 0.686490 | + | 0.727139i | \(0.259151\pi\) | ||||
−0.686490 | + | 0.727139i | \(0.740849\pi\) | |||||||
\(912\) | 54.7151 | − | 221.337i | 0.0599946 | − | 0.242695i | ||||
\(913\) | −226.525 | −0.248110 | ||||||||
\(914\) | −229.242 | − | 629.837i | −0.250812 | − | 0.689100i | ||||
\(915\) | −11.8501 | + | 69.3913i | −0.0129509 | + | 0.0758375i | ||||
\(916\) | −478.721 | + | 401.694i | −0.522621 | + | 0.438531i | ||||
\(917\) | 23.8127 | − | 28.3788i | 0.0259680 | − | 0.0309475i | ||||
\(918\) | −544.918 | + | 105.200i | −0.593592 | + | 0.114597i | ||||
\(919\) | −363.783 | − | 630.091i | −0.395847 | − | 0.685627i | 0.597362 | − | 0.801972i | \(-0.296216\pi\) |
−0.993209 | + | 0.116345i | \(0.962882\pi\) | |||||||
\(920\) | −476.239 | − | 274.957i | −0.517651 | − | 0.298866i | ||||
\(921\) | 482.332 | − | 1347.77i | 0.523705 | − | 1.46337i | ||||
\(922\) | 389.747 | + | 141.856i | 0.422719 | + | 0.153857i | ||||
\(923\) | −245.418 | − | 141.692i | −0.265892 | − | 0.153513i | ||||
\(924\) | 294.515 | + | 503.820i | 0.318739 | + | 0.545260i | ||||
\(925\) | 35.4353 | + | 200.964i | 0.0383084 | + | 0.217258i | ||||
\(926\) | 135.448 | − | 161.421i | 0.146272 | − | 0.174321i | ||||
\(927\) | −1207.92 | + | 1035.97i | −1.30305 | + | 1.11755i | ||||
\(928\) | −1.74676 | + | 9.90635i | −0.00188228 | + | 0.0106749i | ||||
\(929\) | −77.7963 | − | 213.744i | −0.0837420 | − | 0.230079i | 0.890753 | − | 0.454487i | \(-0.150177\pi\) |
−0.974495 | + | 0.224408i | \(0.927955\pi\) | |||||||
\(930\) | 3.73946 | + | 693.446i | 0.00402093 | + | 0.745641i | ||||
\(931\) | −767.518 | + | 1708.26i | −0.824401 | + | 1.83487i | ||||
\(932\) | − | 326.339i | − | 0.350150i | ||||||
\(933\) | −508.822 | + | 188.310i | −0.545361 | + | 0.201832i | ||||
\(934\) | 45.0097 | − | 255.263i | 0.0481903 | − | 0.273301i | ||||
\(935\) | −637.269 | − | 759.467i | −0.681571 | − | 0.812264i | ||||
\(936\) | 156.873 | − | 191.103i | 0.167600 | − | 0.204170i | ||||
\(937\) | 69.8416 | + | 396.091i | 0.0745375 | + | 0.422723i | 0.999128 | + | 0.0417598i | \(0.0132964\pi\) |
−0.924590 | + | 0.380963i | \(0.875592\pi\) | |||||||
\(938\) | −398.916 | + | 230.314i | −0.425283 | + | 0.245537i | ||||
\(939\) | 148.680 | + | 84.7745i | 0.158338 | + | 0.0902817i | ||||
\(940\) | −946.851 | − | 344.626i | −1.00729 | − | 0.366623i | ||||
\(941\) | 45.1906 | − | 124.160i | 0.0480241 | − | 0.131945i | −0.913362 | − | 0.407149i | \(-0.866523\pi\) |
0.961386 | + | 0.275204i | \(0.0887453\pi\) | |||||||
\(942\) | −286.969 | + | 503.294i | −0.304638 | + | 0.534282i | ||||
\(943\) | 577.323 | + | 999.953i | 0.612219 | + | 1.06040i | ||||
\(944\) | −32.3222 | + | 5.69928i | −0.0342396 | + | 0.00603737i | ||||
\(945\) | −2169.24 | − | 1761.20i | −2.29549 | − | 1.86371i | ||||
\(946\) | 509.273 | − | 427.330i | 0.538343 | − | 0.451724i | ||||
\(947\) | 1602.88 | + | 282.630i | 1.69258 | + | 0.298448i | 0.935094 | − | 0.354399i | \(-0.115315\pi\) |
0.757489 | + | 0.652848i | \(0.226426\pi\) | |||||||
\(948\) | 244.315 | + | 660.152i | 0.257716 | + | 0.696363i | ||||
\(949\) | −150.358 | −0.158438 | ||||||||
\(950\) | −1036.76 | + | 747.896i | −1.09133 | + | 0.787258i | ||||
\(951\) | 694.039 | − | 3.74266i | 0.729799 | − | 0.00393550i | ||||
\(952\) | 469.270 | − | 170.800i | 0.492931 | − | 0.179412i | ||||
\(953\) | 1415.20 | + | 249.538i | 1.48499 | + | 0.261844i | 0.856572 | − | 0.516028i | \(-0.172590\pi\) |
0.628422 | + | 0.777873i | \(0.283701\pi\) | |||||||
\(954\) | 197.049 | − | 168.999i | 0.206551 | − | 0.177148i | ||||
\(955\) | −254.783 | − | 213.788i | −0.266788 | − | 0.223862i | ||||
\(956\) | −267.487 | + | 47.1651i | −0.279798 | + | 0.0493359i | ||||
\(957\) | −36.8756 | + | 21.5561i | −0.0385325 | + | 0.0225247i | ||||
\(958\) | −317.126 | + | 549.278i | −0.331029 | + | 0.573359i | ||||
\(959\) | 14.0731 | − | 38.6656i | 0.0146748 | − | 0.0403187i | ||||
\(960\) | −192.504 | − | 68.8922i | −0.200524 | − | 0.0717627i | ||||
\(961\) | 296.447 | − | 513.461i | 0.308478 | − | 0.534299i | ||||
\(962\) | 51.0226 | − | 29.4579i | 0.0530380 | − | 0.0306215i | ||||
\(963\) | 1134.77 | − | 212.735i | 1.17837 | − | 0.220908i | ||||
\(964\) | −373.134 | − | 313.097i | −0.387069 | − | 0.324789i | ||||
\(965\) | −824.351 | − | 982.423i | −0.854250 | − | 1.01806i | ||||
\(966\) | 1159.42 | + | 197.997i | 1.20023 | + | 0.204965i | ||||
\(967\) | −1070.55 | + | 389.647i | −1.10708 | + | 0.402944i | −0.829921 | − | 0.557880i | \(-0.811615\pi\) |
−0.277158 | + | 0.960824i | \(0.589393\pi\) | |||||||
\(968\) | − | 160.911i | − | 0.166231i | ||||||
\(969\) | −229.950 | − | 795.911i | −0.237306 | − | 0.821373i | ||||
\(970\) | 783.131 | 0.807352 | ||||||||
\(971\) | 217.943 | + | 598.792i | 0.224452 | + | 0.616676i | 0.999891 | − | 0.0147458i | \(-0.00469391\pi\) |
−0.775440 | + | 0.631422i | \(0.782472\pi\) | |||||||
\(972\) | −480.718 | − | 71.4591i | −0.494566 | − | 0.0735176i | ||||
\(973\) | 2313.49 | − | 1941.25i | 2.37769 | − | 1.99512i | ||||
\(974\) | −320.168 | + | 381.562i | −0.328715 | + | 0.391747i | ||||
\(975\) | −1363.89 | + | 248.081i | −1.39886 | + | 0.254442i | ||||
\(976\) | −5.50883 | − | 9.54158i | −0.00564430 | − | 0.00977621i | ||||
\(977\) | −1171.59 | − | 676.416i | −1.19917 | − | 0.692340i | −0.238798 | − | 0.971069i | \(-0.576753\pi\) |
−0.960370 | + | 0.278730i | \(0.910087\pi\) | |||||||
\(978\) | 1117.33 | + | 399.864i | 1.14246 | + | 0.408859i | ||||
\(979\) | 615.335 | + | 223.964i | 0.628534 | + | 0.228768i | ||||
\(980\) | 1454.41 | + | 839.704i | 1.48409 | + | 0.856840i | ||||
\(981\) | 214.929 | + | 363.166i | 0.219092 | + | 0.370200i | ||||
\(982\) | 42.8097 | + | 242.786i | 0.0435944 | + | 0.247236i | ||||
\(983\) | −595.137 | + | 709.257i | −0.605429 | + | 0.721523i | −0.978492 | − | 0.206283i | \(-0.933863\pi\) |
0.373063 | + | 0.927806i | \(0.378308\pi\) | |||||||
\(984\) | 277.719 | + | 327.371i | 0.282235 | + | 0.332694i | ||||
\(985\) | 152.173 | − | 863.014i | 0.154490 | − | 0.876156i | ||||
\(986\) | 12.5012 | + | 34.3468i | 0.0126787 | + | 0.0348345i | ||||
\(987\) | 2155.16 | − | 11.6218i | 2.18354 | − | 0.0117749i | ||||
\(988\) | 305.281 | + | 207.424i | 0.308989 | + | 0.209943i | ||||
\(989\) | − | 1339.90i | − | 1.35481i | ||||||
\(990\) | −305.719 | − | 812.581i | −0.308808 | − | 0.820789i | ||||
\(991\) | −118.656 | + | 672.929i | −0.119733 | + | 0.679040i | 0.864564 | + | 0.502522i | \(0.167595\pi\) |
−0.984297 | + | 0.176518i | \(0.943517\pi\) | |||||||
\(992\) | −69.7636 | − | 83.1410i | −0.0703262 | − | 0.0838115i | ||||
\(993\) | 731.021 | − | 880.799i | 0.736174 | − | 0.887009i | ||||
\(994\) | −87.0395 | − | 493.626i | −0.0875649 | − | 0.496605i | ||||
\(995\) | −481.240 | + | 277.844i | −0.483659 | + | 0.279240i | ||||
\(996\) | −84.0804 | + | 147.462i | −0.0844181 | + | 0.148055i | ||||
\(997\) | −1035.07 | − | 376.734i | −1.03818 | − | 0.377867i | −0.233991 | − | 0.972239i | \(-0.575179\pi\) |
−0.804191 | + | 0.594372i | \(0.797401\pi\) | |||||||
\(998\) | −444.624 | + | 1221.59i | −0.445515 | + | 1.22404i | ||||
\(999\) | −101.217 | − | 56.2745i | −0.101318 | − | 0.0563308i |
(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 | 114.3.k.a.5.6 | ✓ | 84 | |
3.2 | odd | 2 | inner | 114.3.k.a.5.8 | yes | 84 | |
19.4 | even | 9 | inner | 114.3.k.a.23.8 | yes | 84 | |
57.23 | odd | 18 | inner | 114.3.k.a.23.6 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.3.k.a.5.6 | ✓ | 84 | 1.1 | even | 1 | trivial | |
114.3.k.a.5.8 | yes | 84 | 3.2 | odd | 2 | inner | |
114.3.k.a.23.6 | yes | 84 | 57.23 | odd | 18 | inner | |
114.3.k.a.23.8 | yes | 84 | 19.4 | even | 9 | inner |