Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,4,Mod(109,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.109");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.g (of order \(3\), degree \(2\), 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: | \(22.3027219822\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.11184604443.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} + 43x^{4} - 210x^{3} + 1849x^{2} - 4515x + 11025 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 109.3 | ||
Root | \(2.16527 + 3.75036i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.109 |
Dual form | 378.4.g.b.163.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | + | 1.73205i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.00000 | + | 3.46410i | −0.250000 | + | 0.433013i | ||||
\(5\) | 6.70319 | + | 11.6103i | 0.599552 | + | 1.03845i | 0.992887 | + | 0.119059i | \(0.0379878\pi\) |
−0.393335 | + | 0.919395i | \(0.628679\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.32531 | − | 17.7381i | 0.287539 | − | 0.957769i | ||||
\(8\) | −8.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −13.4064 | + | 23.2205i | −0.423947 | + | 0.734298i | ||||
\(11\) | −21.8169 | + | 37.7881i | −0.598005 | + | 1.03578i | 0.395110 | + | 0.918634i | \(0.370706\pi\) |
−0.993115 | + | 0.117142i | \(0.962627\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −8.40639 | −0.179347 | −0.0896735 | − | 0.995971i | \(-0.528582\pi\) | ||||
−0.0896735 | + | 0.995971i | \(0.528582\pi\) | |||||||
\(14\) | 36.0486 | − | 8.51443i | 0.688172 | − | 0.162541i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | ||||
\(17\) | −36.3086 | + | 62.8883i | −0.518007 | + | 0.897215i | 0.481774 | + | 0.876296i | \(0.339993\pi\) |
−0.999781 | + | 0.0209196i | \(0.993341\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 29.8496 | + | 51.7011i | 0.360420 | + | 0.624265i | 0.988030 | − | 0.154263i | \(-0.0493002\pi\) |
−0.627610 | + | 0.778528i | \(0.715967\pi\) | |||||||
\(20\) | −53.6255 | −0.599552 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −87.2678 | −0.845707 | ||||||||
\(23\) | 38.9919 | + | 67.5359i | 0.353494 | + | 0.612270i | 0.986859 | − | 0.161583i | \(-0.0516600\pi\) |
−0.633365 | + | 0.773853i | \(0.718327\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −27.3656 | + | 47.3986i | −0.218925 | + | 0.379189i | ||||
\(26\) | −8.40639 | − | 14.5603i | −0.0634088 | − | 0.109827i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 50.7961 | + | 53.9237i | 0.342841 | + | 0.363950i | ||||
\(29\) | −59.0953 | −0.378404 | −0.189202 | − | 0.981938i | \(-0.560590\pi\) | ||||
−0.189202 | + | 0.981938i | \(0.560590\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −41.9845 | + | 72.7193i | −0.243246 | + | 0.421315i | −0.961637 | − | 0.274325i | \(-0.911546\pi\) |
0.718391 | + | 0.695640i | \(0.244879\pi\) | |||||||
\(32\) | 16.0000 | − | 27.7128i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −145.234 | −0.732573 | ||||||||
\(35\) | 241.641 | − | 57.0738i | 1.16699 | − | 0.275635i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.78183 | + | 3.08622i | 0.00791705 | + | 0.0137127i | 0.869957 | − | 0.493128i | \(-0.164147\pi\) |
−0.862040 | + | 0.506841i | \(0.830813\pi\) | |||||||
\(38\) | −59.6993 | + | 103.402i | −0.254855 | + | 0.441422i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −53.6255 | − | 92.8822i | −0.211974 | − | 0.367149i | ||||
\(41\) | 50.0978 | 0.190828 | 0.0954141 | − | 0.995438i | \(-0.469582\pi\) | ||||
0.0954141 | + | 0.995438i | \(0.469582\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −556.622 | −1.97405 | −0.987023 | − | 0.160578i | \(-0.948664\pi\) | ||||
−0.987023 | + | 0.160578i | \(0.948664\pi\) | |||||||
\(44\) | −87.2678 | − | 151.152i | −0.299003 | − | 0.517888i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −77.9838 | + | 135.072i | −0.249958 | + | 0.432940i | ||||
\(47\) | 1.82554 | + | 3.16193i | 0.00566559 | + | 0.00981310i | 0.868844 | − | 0.495085i | \(-0.164863\pi\) |
−0.863179 | + | 0.504899i | \(0.831530\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −286.282 | − | 188.922i | −0.834642 | − | 0.550793i | ||||
\(50\) | −109.462 | −0.309606 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 16.8128 | − | 29.1206i | 0.0448368 | − | 0.0776596i | ||||
\(53\) | 160.893 | − | 278.675i | 0.416988 | − | 0.722244i | −0.578647 | − | 0.815578i | \(-0.696419\pi\) |
0.995635 | + | 0.0933338i | \(0.0297524\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −584.973 | −1.43414 | ||||||||
\(56\) | −42.6024 | + | 141.905i | −0.101661 | + | 0.338622i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −59.0953 | − | 102.356i | −0.133786 | − | 0.231724i | ||||
\(59\) | −427.740 | + | 740.867i | −0.943847 | + | 1.63479i | −0.185805 | + | 0.982587i | \(0.559489\pi\) |
−0.758042 | + | 0.652205i | \(0.773844\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.53933 | − | 6.13030i | −0.00742894 | − | 0.0128673i | 0.862287 | − | 0.506420i | \(-0.169031\pi\) |
−0.869716 | + | 0.493553i | \(0.835698\pi\) | |||||||
\(62\) | −167.938 | −0.344002 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | −56.3496 | − | 97.6004i | −0.107528 | − | 0.186244i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −243.423 | + | 421.621i | −0.443863 | + | 0.768793i | −0.997972 | − | 0.0636506i | \(-0.979726\pi\) |
0.554109 | + | 0.832444i | \(0.313059\pi\) | |||||||
\(68\) | −145.234 | − | 251.553i | −0.259004 | − | 0.448608i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 340.496 | + | 361.461i | 0.581386 | + | 0.617183i | ||||
\(71\) | 564.619 | 0.943774 | 0.471887 | − | 0.881659i | \(-0.343573\pi\) | ||||
0.471887 | + | 0.881659i | \(0.343573\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −91.9378 | + | 159.241i | −0.147404 | + | 0.255312i | −0.930267 | − | 0.366882i | \(-0.880425\pi\) |
0.782863 | + | 0.622194i | \(0.213758\pi\) | |||||||
\(74\) | −3.56366 | + | 6.17243i | −0.00559820 | + | 0.00969636i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −238.797 | −0.360420 | ||||||||
\(77\) | 554.108 | + | 588.225i | 0.820083 | + | 0.870577i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 656.542 | + | 1137.16i | 0.935022 | + | 1.61950i | 0.774595 | + | 0.632457i | \(0.217954\pi\) |
0.160426 | + | 0.987048i | \(0.448713\pi\) | |||||||
\(80\) | 107.251 | − | 185.764i | 0.149888 | − | 0.259614i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 50.0978 | + | 86.7719i | 0.0674680 | + | 0.116858i | ||||
\(83\) | 941.530 | 1.24514 | 0.622568 | − | 0.782565i | \(-0.286089\pi\) | ||||
0.622568 | + | 0.782565i | \(0.286089\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −973.534 | −1.24229 | ||||||||
\(86\) | −556.622 | − | 964.097i | −0.697931 | − | 1.20885i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 174.536 | − | 302.305i | 0.211427 | − | 0.366202i | ||||
\(89\) | −399.453 | − | 691.873i | −0.475752 | − | 0.824027i | 0.523862 | − | 0.851803i | \(-0.324491\pi\) |
−0.999614 | + | 0.0277760i | \(0.991157\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −44.7666 | + | 149.114i | −0.0515694 | + | 0.171773i | ||||
\(92\) | −311.935 | −0.353494 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.65109 | + | 6.32387i | −0.00400618 | + | 0.00693891i | ||||
\(95\) | −400.176 | + | 693.124i | −0.432181 | + | 0.748559i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 524.765 | 0.549297 | 0.274648 | − | 0.961545i | \(-0.411439\pi\) | ||||
0.274648 | + | 0.961545i | \(0.411439\pi\) | |||||||
\(98\) | 40.9401 | − | 684.777i | 0.0421997 | − | 0.705846i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −109.462 | − | 189.594i | −0.109462 | − | 0.189594i | ||||
\(101\) | 337.266 | − | 584.162i | 0.332270 | − | 0.575508i | −0.650687 | − | 0.759346i | \(-0.725519\pi\) |
0.982957 | + | 0.183838i | \(0.0588522\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −624.773 | − | 1082.14i | −0.597676 | − | 1.03521i | −0.993163 | − | 0.116734i | \(-0.962757\pi\) |
0.395487 | − | 0.918472i | \(-0.370576\pi\) | |||||||
\(104\) | 67.2511 | 0.0634088 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 643.572 | 0.589710 | ||||||||
\(107\) | −886.082 | − | 1534.74i | −0.800568 | − | 1.38662i | −0.919243 | − | 0.393691i | \(-0.871198\pi\) |
0.118675 | − | 0.992933i | \(-0.462135\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 682.211 | − | 1181.62i | 0.599486 | − | 1.03834i | −0.393411 | − | 0.919363i | \(-0.628705\pi\) |
0.992897 | − | 0.118978i | \(-0.0379617\pi\) | |||||||
\(110\) | −584.973 | − | 1013.20i | −0.507045 | − | 0.878228i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −288.389 | + | 68.1154i | −0.243305 | + | 0.0574670i | ||||
\(113\) | 780.182 | 0.649499 | 0.324749 | − | 0.945800i | \(-0.394720\pi\) | ||||
0.324749 | + | 0.945800i | \(0.394720\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −522.740 | + | 905.413i | −0.423876 | + | 0.734175i | ||||
\(116\) | 118.191 | − | 204.712i | 0.0946011 | − | 0.163854i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1710.96 | −1.33480 | ||||||||
\(119\) | 922.167 | + | 978.946i | 0.710377 | + | 0.754116i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −286.459 | − | 496.161i | −0.215221 | − | 0.372773i | ||||
\(122\) | 7.07867 | − | 12.2606i | 0.00525305 | − | 0.00909855i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −167.938 | − | 290.877i | −0.121623 | − | 0.210658i | ||||
\(125\) | 942.051 | 0.674077 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 851.395 | 0.594875 | 0.297437 | − | 0.954741i | \(-0.403868\pi\) | ||||
0.297437 | + | 0.954741i | \(0.403868\pi\) | |||||||
\(128\) | 64.0000 | + | 110.851i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 112.699 | − | 195.201i | 0.0760337 | − | 0.131694i | ||||
\(131\) | 751.502 | + | 1301.64i | 0.501214 | + | 0.868129i | 0.999999 | + | 0.00140275i | \(0.000446511\pi\) |
−0.498785 | + | 0.866726i | \(0.666220\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1076.04 | − | 254.152i | 0.701537 | − | 0.165698i | ||||
\(134\) | −973.691 | −0.627717 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 290.469 | − | 503.107i | 0.183143 | − | 0.317214i | ||||
\(137\) | −868.400 | + | 1504.11i | −0.541551 | + | 0.937993i | 0.457264 | + | 0.889331i | \(0.348829\pi\) |
−0.998815 | + | 0.0486627i | \(0.984504\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3116.41 | 1.90166 | 0.950828 | − | 0.309720i | \(-0.100235\pi\) | ||||
0.950828 | + | 0.309720i | \(0.100235\pi\) | |||||||
\(140\) | −285.572 | + | 951.217i | −0.172395 | + | 0.574232i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 564.619 | + | 977.949i | 0.333675 | + | 0.577941i | ||||
\(143\) | 183.402 | − | 317.661i | 0.107250 | − | 0.185763i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −396.127 | − | 686.113i | −0.226873 | − | 0.392956i | ||||
\(146\) | −367.751 | −0.208461 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.2546 | −0.00791705 | ||||||||
\(149\) | 1475.41 | + | 2555.49i | 0.811211 | + | 1.40506i | 0.912017 | + | 0.410153i | \(0.134525\pi\) |
−0.100805 | + | 0.994906i | \(0.532142\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 644.154 | − | 1115.71i | 0.347156 | − | 0.601292i | −0.638587 | − | 0.769549i | \(-0.720481\pi\) |
0.985743 | + | 0.168258i | \(0.0538142\pi\) | |||||||
\(152\) | −238.797 | − | 413.609i | −0.127428 | − | 0.220711i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −464.728 | + | 1547.97i | −0.243174 | + | 0.809992i | ||||
\(155\) | −1125.72 | −0.583355 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1666.45 | − | 2886.38i | 0.847116 | − | 1.46725i | −0.0366552 | − | 0.999328i | \(-0.511670\pi\) |
0.883771 | − | 0.467920i | \(-0.154996\pi\) | |||||||
\(158\) | −1313.08 | + | 2274.33i | −0.661160 | + | 1.14516i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 429.004 | 0.211974 | ||||||||
\(161\) | 1405.60 | − | 331.993i | 0.688057 | − | 0.162514i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1825.57 | + | 3161.97i | 0.877235 | + | 1.51942i | 0.854363 | + | 0.519677i | \(0.173948\pi\) |
0.0228725 | + | 0.999738i | \(0.492719\pi\) | |||||||
\(164\) | −100.196 | + | 173.544i | −0.0477070 | + | 0.0826310i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 941.530 | + | 1630.78i | 0.440222 | + | 0.762487i | ||||
\(167\) | −3389.98 | −1.57081 | −0.785403 | − | 0.618985i | \(-0.787544\pi\) | ||||
−0.785403 | + | 0.618985i | \(0.787544\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2126.33 | −0.967835 | ||||||||
\(170\) | −973.534 | − | 1686.21i | −0.439216 | − | 0.760744i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1113.24 | − | 1928.19i | 0.493512 | − | 0.854787i | ||||
\(173\) | 314.750 | + | 545.164i | 0.138324 | + | 0.239584i | 0.926862 | − | 0.375402i | \(-0.122495\pi\) |
−0.788538 | + | 0.614986i | \(0.789162\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 695.032 | + | 737.826i | 0.300226 | + | 0.318711i | ||||
\(176\) | 698.142 | 0.299003 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 798.907 | − | 1383.75i | 0.336408 | − | 0.582675i | ||||
\(179\) | −121.747 | + | 210.872i | −0.0508369 | + | 0.0880520i | −0.890324 | − | 0.455327i | \(-0.849522\pi\) |
0.839487 | + | 0.543380i | \(0.182856\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4216.08 | 1.73137 | 0.865687 | − | 0.500585i | \(-0.166882\pi\) | ||||
0.865687 | + | 0.500585i | \(0.166882\pi\) | |||||||
\(182\) | −303.039 | + | 71.5755i | −0.123422 | + | 0.0291513i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −311.935 | − | 540.287i | −0.124979 | − | 0.216470i | ||||
\(185\) | −23.8879 | + | 41.3750i | −0.00949336 | + | 0.0164430i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1584.29 | − | 2744.06i | −0.619542 | − | 1.07308i | ||||
\(188\) | −14.6044 | −0.00566559 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1600.70 | −0.611196 | ||||||||
\(191\) | 1900.44 | + | 3291.66i | 0.719953 | + | 1.24700i | 0.961018 | + | 0.276486i | \(0.0891700\pi\) |
−0.241065 | + | 0.970509i | \(0.577497\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1923.01 | + | 3330.75i | −0.717209 | + | 1.24224i | 0.244893 | + | 0.969550i | \(0.421247\pi\) |
−0.962101 | + | 0.272692i | \(0.912086\pi\) | |||||||
\(194\) | 524.765 | + | 908.919i | 0.194206 | + | 0.336374i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1227.01 | − | 613.867i | 0.447161 | − | 0.223712i | ||||
\(197\) | 4739.52 | 1.71410 | 0.857048 | − | 0.515237i | \(-0.172296\pi\) | ||||
0.857048 | + | 0.515237i | \(0.172296\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2073.53 | − | 3591.46i | 0.738637 | − | 1.27936i | −0.214472 | − | 0.976730i | \(-0.568803\pi\) |
0.953109 | − | 0.302627i | \(-0.0978637\pi\) | |||||||
\(200\) | 218.925 | − | 379.189i | 0.0774016 | − | 0.134063i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1349.07 | 0.469900 | ||||||||
\(203\) | −314.701 | + | 1048.24i | −0.108806 | + | 0.362424i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 335.815 | + | 581.649i | 0.114411 | + | 0.198166i | ||||
\(206\) | 1249.55 | − | 2164.28i | 0.422621 | − | 0.732001i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 67.2511 | + | 116.482i | 0.0224184 | + | 0.0388298i | ||||
\(209\) | −2604.91 | −0.862131 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 226.994 | 0.0740612 | 0.0370306 | − | 0.999314i | \(-0.488210\pi\) | ||||
0.0370306 | + | 0.999314i | \(0.488210\pi\) | |||||||
\(212\) | 643.572 | + | 1114.70i | 0.208494 | + | 0.361122i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1772.16 | − | 3069.48i | 0.566087 | − | 0.980491i | ||||
\(215\) | −3731.14 | − | 6462.53i | −1.18354 | − | 2.04996i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1066.32 | + | 1131.98i | 0.333580 | + | 0.354119i | ||||
\(218\) | 2728.84 | 0.847801 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1169.95 | − | 2026.41i | 0.358535 | − | 0.621001i | ||||
\(221\) | 305.224 | − | 528.664i | 0.0929031 | − | 0.160913i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4919.61 | −1.47732 | −0.738658 | − | 0.674080i | \(-0.764540\pi\) | ||||
−0.738658 | + | 0.674080i | \(0.764540\pi\) | |||||||
\(224\) | −406.368 | − | 431.389i | −0.121213 | − | 0.128676i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 780.182 | + | 1351.32i | 0.229633 | + | 0.397735i | ||||
\(227\) | 751.565 | − | 1301.75i | 0.219749 | − | 0.380617i | −0.734982 | − | 0.678087i | \(-0.762809\pi\) |
0.954731 | + | 0.297470i | \(0.0961427\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1870.02 | + | 3238.98i | 0.539628 | + | 0.934662i | 0.998924 | + | 0.0463793i | \(0.0147683\pi\) |
−0.459296 | + | 0.888283i | \(0.651898\pi\) | |||||||
\(230\) | −2090.96 | −0.599452 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 472.762 | 0.133786 | ||||||||
\(233\) | 617.169 | + | 1068.97i | 0.173528 | + | 0.300560i | 0.939651 | − | 0.342135i | \(-0.111150\pi\) |
−0.766123 | + | 0.642694i | \(0.777817\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −24.4739 | + | 42.3901i | −0.00679364 | + | 0.0117669i | ||||
\(236\) | −1710.96 | − | 2963.47i | −0.471924 | − | 0.817396i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −773.417 | + | 2576.19i | −0.210644 | + | 0.701636i | ||||
\(239\) | −407.673 | −0.110335 | −0.0551677 | − | 0.998477i | \(-0.517569\pi\) | ||||
−0.0551677 | + | 0.998477i | \(0.517569\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −62.5169 | + | 108.282i | −0.0167098 | + | 0.0289422i | −0.874259 | − | 0.485459i | \(-0.838652\pi\) |
0.857550 | + | 0.514401i | \(0.171986\pi\) | |||||||
\(242\) | 572.917 | − | 992.322i | 0.152184 | − | 0.263590i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 28.3147 | 0.00742894 | ||||||||
\(245\) | 274.429 | − | 4590.19i | 0.0715618 | − | 1.19697i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −250.927 | − | 434.619i | −0.0646402 | − | 0.111960i | ||||
\(248\) | 335.876 | − | 581.754i | 0.0860006 | − | 0.148957i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 942.051 | + | 1631.68i | 0.238322 | + | 0.412786i | ||||
\(251\) | −4144.15 | −1.04214 | −0.521068 | − | 0.853515i | \(-0.674466\pi\) | ||||
−0.521068 | + | 0.853515i | \(0.674466\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3402.74 | −0.845566 | ||||||||
\(254\) | 851.395 | + | 1474.66i | 0.210320 | + | 0.364285i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −274.649 | − | 475.706i | −0.0666619 | − | 0.115462i | 0.830768 | − | 0.556619i | \(-0.187902\pi\) |
−0.897430 | + | 0.441157i | \(0.854568\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 64.2325 | − | 15.1712i | 0.0154101 | − | 0.00363975i | ||||
\(260\) | 450.797 | 0.107528 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1503.00 | + | 2603.28i | −0.354412 | + | 0.613860i | ||||
\(263\) | −3079.75 | + | 5334.28i | −0.722074 | + | 1.25067i | 0.238093 | + | 0.971242i | \(0.423478\pi\) |
−0.960167 | + | 0.279427i | \(0.909856\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4313.99 | 1.00002 | ||||||||
\(266\) | 1516.24 | + | 1609.60i | 0.349499 | + | 0.371019i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −973.691 | − | 1686.48i | −0.221932 | − | 0.384397i | ||||
\(269\) | 3198.75 | − | 5540.40i | 0.725024 | − | 1.25578i | −0.233940 | − | 0.972251i | \(-0.575162\pi\) |
0.958964 | − | 0.283528i | \(-0.0915047\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3215.20 | − | 5568.89i | −0.720700 | − | 1.24829i | −0.960720 | − | 0.277521i | \(-0.910487\pi\) |
0.240020 | − | 0.970768i | \(-0.422846\pi\) | |||||||
\(272\) | 1161.88 | 0.259004 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3473.60 | −0.765868 | ||||||||
\(275\) | −1194.07 | − | 2068.19i | −0.261836 | − | 0.453514i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2033.41 | + | 3521.97i | −0.441068 | + | 0.763953i | −0.997769 | − | 0.0667605i | \(-0.978734\pi\) |
0.556701 | + | 0.830713i | \(0.312067\pi\) | |||||||
\(278\) | 3116.41 | + | 5397.77i | 0.672337 | + | 1.16452i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1933.13 | + | 456.591i | −0.412595 | + | 0.0974518i | ||||
\(281\) | 2270.90 | 0.482101 | 0.241050 | − | 0.970513i | \(-0.422508\pi\) | ||||
0.241050 | + | 0.970513i | \(0.422508\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3554.58 | − | 6156.71i | 0.746635 | − | 1.29321i | −0.202792 | − | 0.979222i | \(-0.565001\pi\) |
0.949427 | − | 0.313988i | \(-0.101665\pi\) | |||||||
\(284\) | −1129.24 | + | 1955.90i | −0.235944 | + | 0.408666i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 733.607 | 0.151675 | ||||||||
\(287\) | 266.786 | − | 888.640i | 0.0548706 | − | 0.182769i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −180.128 | − | 311.991i | −0.0366635 | − | 0.0635031i | ||||
\(290\) | 792.255 | − | 1372.23i | 0.160423 | − | 0.277862i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −367.751 | − | 636.964i | −0.0737021 | − | 0.127656i | ||||
\(293\) | 1088.93 | 0.217119 | 0.108560 | − | 0.994090i | \(-0.465376\pi\) | ||||
0.108560 | + | 0.994090i | \(0.465376\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11468.9 | −2.26354 | ||||||||
\(296\) | −14.2546 | − | 24.6897i | −0.00279910 | − | 0.00484818i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2950.82 | + | 5110.98i | −0.573613 | + | 0.993527i | ||||
\(299\) | −327.781 | − | 567.733i | −0.0633982 | − | 0.109809i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2964.18 | + | 9873.42i | −0.567616 | + | 1.89068i | ||||
\(302\) | 2576.62 | 0.490952 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 477.594 | − | 827.217i | 0.0901049 | − | 0.156066i | ||||
\(305\) | 47.4497 | − | 82.1852i | 0.00890806 | − | 0.0154292i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1736.56 | 0.322836 | 0.161418 | − | 0.986886i | \(-0.448393\pi\) | ||||
0.161418 | + | 0.986886i | \(0.448393\pi\) | |||||||
\(308\) | −3145.89 | + | 743.035i | −0.581992 | + | 0.137462i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1125.72 | − | 1949.81i | −0.206247 | − | 0.357231i | ||||
\(311\) | −1164.74 | + | 2017.38i | −0.212367 | + | 0.367830i | −0.952455 | − | 0.304680i | \(-0.901451\pi\) |
0.740088 | + | 0.672510i | \(0.234784\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1744.00 | − | 3020.69i | −0.314941 | − | 0.545494i | 0.664484 | − | 0.747303i | \(-0.268652\pi\) |
−0.979425 | + | 0.201808i | \(0.935318\pi\) | |||||||
\(314\) | 6665.80 | 1.19800 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5252.33 | −0.935022 | ||||||||
\(317\) | −1348.77 | − | 2336.14i | −0.238974 | − | 0.413914i | 0.721446 | − | 0.692470i | \(-0.243478\pi\) |
−0.960420 | + | 0.278556i | \(0.910144\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1289.28 | − | 2233.10i | 0.226288 | − | 0.391942i | ||||
\(320\) | 429.004 | + | 743.057i | 0.0749440 | + | 0.129807i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1980.63 | + | 2102.58i | 0.342784 | + | 0.363890i | ||||
\(323\) | −4335.19 | −0.746800 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 230.046 | − | 398.451i | 0.0392635 | − | 0.0680064i | ||||
\(326\) | −3651.13 | + | 6323.94i | −0.620299 | + | 1.07439i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −400.782 | −0.0674680 | ||||||||
\(329\) | 65.8084 | − | 15.5435i | 0.0110278 | − | 0.00260468i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4985.88 | + | 8635.80i | 0.827942 | + | 1.43404i | 0.899650 | + | 0.436612i | \(0.143822\pi\) |
−0.0717073 | + | 0.997426i | \(0.522845\pi\) | |||||||
\(332\) | −1883.06 | + | 3261.56i | −0.311284 | + | 0.539160i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3389.98 | − | 5871.62i | −0.555364 | − | 0.961918i | ||||
\(335\) | −6526.84 | −1.06448 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8607.45 | −1.39133 | −0.695664 | − | 0.718367i | \(-0.744890\pi\) | ||||
−0.695664 | + | 0.718367i | \(0.744890\pi\) | |||||||
\(338\) | −2126.33 | − | 3682.92i | −0.342181 | − | 0.592675i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1947.07 | − | 3372.42i | 0.310572 | − | 0.537927i | ||||
\(341\) | −1831.95 | − | 3173.03i | −0.290925 | − | 0.503897i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4875.66 | + | 4072.04i | −0.767525 | + | 0.641019i | ||||
\(344\) | 4452.97 | 0.697931 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −629.501 | + | 1090.33i | −0.0978097 | + | 0.169411i | ||||
\(347\) | 2770.44 | − | 4798.54i | 0.428602 | − | 0.742361i | −0.568147 | − | 0.822927i | \(-0.692340\pi\) |
0.996749 | + | 0.0805663i | \(0.0256729\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1450.89 | −0.222535 | −0.111267 | − | 0.993791i | \(-0.535491\pi\) | ||||
−0.111267 | + | 0.993791i | \(0.535491\pi\) | |||||||
\(350\) | −582.921 | + | 1941.66i | −0.0890240 | + | 0.296531i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 698.142 | + | 1209.22i | 0.105713 | + | 0.183101i | ||||
\(353\) | 2464.39 | − | 4268.45i | 0.371576 | − | 0.643588i | −0.618232 | − | 0.785995i | \(-0.712151\pi\) |
0.989808 | + | 0.142407i | \(0.0454843\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3784.75 | + | 6555.38i | 0.565841 | + | 0.980066i | ||||
\(356\) | 3195.63 | 0.475752 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −486.988 | −0.0718942 | ||||||||
\(359\) | −624.930 | − | 1082.41i | −0.0918733 | − | 0.159129i | 0.816426 | − | 0.577450i | \(-0.195952\pi\) |
−0.908299 | + | 0.418321i | \(0.862619\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1647.50 | − | 2853.55i | 0.240195 | − | 0.416030i | ||||
\(362\) | 4216.08 | + | 7302.47i | 0.612133 | + | 1.06025i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −427.011 | − | 453.303i | −0.0614876 | − | 0.0652734i | ||||
\(365\) | −2465.11 | −0.353506 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1807.17 | − | 3130.11i | 0.257040 | − | 0.445206i | −0.708408 | − | 0.705803i | \(-0.750586\pi\) |
0.965448 | + | 0.260597i | \(0.0839195\pi\) | |||||||
\(368\) | 623.870 | − | 1080.57i | 0.0883736 | − | 0.153068i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −95.5515 | −0.0134256 | ||||||||
\(371\) | −4086.37 | − | 4337.97i | −0.571843 | − | 0.607052i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2785.71 | − | 4824.98i | −0.386698 | − | 0.669781i | 0.605305 | − | 0.795994i | \(-0.293051\pi\) |
−0.992003 | + | 0.126213i | \(0.959718\pi\) | |||||||
\(374\) | 3168.57 | − | 5488.13i | 0.438083 | − | 0.758781i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.6044 | − | 25.2955i | −0.00200309 | − | 0.00346945i | ||||
\(377\) | 496.778 | 0.0678657 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2674.89 | 0.362533 | 0.181266 | − | 0.983434i | \(-0.441980\pi\) | ||||
0.181266 | + | 0.983434i | \(0.441980\pi\) | |||||||
\(380\) | −1600.70 | − | 2772.50i | −0.216090 | − | 0.374279i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −3800.88 | + | 6583.32i | −0.509084 | + | 0.881759i | ||||
\(383\) | 1675.22 | + | 2901.57i | 0.223498 | + | 0.387111i | 0.955868 | − | 0.293797i | \(-0.0949189\pi\) |
−0.732369 | + | 0.680907i | \(0.761586\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3115.16 | + | 10376.3i | −0.412372 | + | 1.37358i | ||||
\(386\) | −7692.04 | −1.01429 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1049.53 | + | 1817.84i | −0.137324 | + | 0.237852i | ||||
\(389\) | 3529.71 | − | 6113.63i | 0.460060 | − | 0.796847i | −0.538904 | − | 0.842367i | \(-0.681161\pi\) |
0.998963 | + | 0.0455204i | \(0.0144946\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5662.96 | −0.732451 | ||||||||
\(392\) | 2290.26 | + | 1511.38i | 0.295091 | + | 0.194735i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4739.52 | + | 8209.09i | 0.606024 | + | 1.04966i | ||||
\(395\) | −8801.85 | + | 15245.3i | −1.12119 | + | 1.94195i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5510.26 | − | 9544.05i | −0.696604 | − | 1.20655i | −0.969637 | − | 0.244549i | \(-0.921360\pi\) |
0.273032 | − | 0.962005i | \(-0.411973\pi\) | |||||||
\(398\) | 8294.13 | 1.04459 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 875.699 | 0.109462 | ||||||||
\(401\) | −1458.98 | − | 2527.02i | −0.181690 | − | 0.314697i | 0.760766 | − | 0.649026i | \(-0.224823\pi\) |
−0.942456 | + | 0.334330i | \(0.891490\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 352.938 | − | 611.307i | 0.0436255 | − | 0.0755617i | ||||
\(404\) | 1349.07 | + | 2336.65i | 0.166135 | + | 0.287754i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2130.31 | + | 503.163i | −0.260407 | + | 0.0615063i | ||||
\(407\) | −155.496 | −0.0189377 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1400.02 | − | 2424.91i | 0.169259 | − | 0.293165i | −0.768901 | − | 0.639368i | \(-0.779196\pi\) |
0.938159 | + | 0.346204i | \(0.112529\pi\) | |||||||
\(410\) | −671.630 | + | 1163.30i | −0.0809011 | + | 0.140125i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4998.18 | 0.597676 | ||||||||
\(413\) | 10863.8 | + | 11532.7i | 1.29436 | + | 1.37405i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6311.26 | + | 10931.4i | 0.746524 | + | 1.29302i | ||||
\(416\) | −134.502 | + | 232.965i | −0.0158522 | + | 0.0274568i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2604.91 | − | 4511.84i | −0.304810 | − | 0.527946i | ||||
\(419\) | −7229.43 | −0.842913 | −0.421456 | − | 0.906849i | \(-0.638481\pi\) | ||||
−0.421456 | + | 0.906849i | \(0.638481\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10949.7 | −1.26759 | −0.633795 | − | 0.773501i | \(-0.718504\pi\) | ||||
−0.633795 | + | 0.773501i | \(0.718504\pi\) | |||||||
\(422\) | 226.994 | + | 393.165i | 0.0261846 | + | 0.0453530i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1287.14 | + | 2229.40i | −0.147428 | + | 0.255352i | ||||
\(425\) | −1987.21 | − | 3441.95i | −0.226809 | − | 0.392845i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −127.588 | + | 30.1354i | −0.0144600 | + | 0.00341535i | ||||
\(428\) | 7088.66 | 0.800568 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7462.28 | − | 12925.1i | 0.836891 | − | 1.44954i | ||||
\(431\) | −5046.99 | + | 8741.64i | −0.564048 | + | 0.976960i | 0.433089 | + | 0.901351i | \(0.357423\pi\) |
−0.997138 | + | 0.0756091i | \(0.975910\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11040.9 | 1.22539 | 0.612694 | − | 0.790320i | \(-0.290086\pi\) | ||||
0.612694 | + | 0.790320i | \(0.290086\pi\) | |||||||
\(434\) | −894.321 | + | 2978.91i | −0.0989143 | + | 0.329475i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2728.84 | + | 4726.50i | 0.299743 | + | 0.519170i | ||||
\(437\) | −2327.79 | + | 4031.84i | −0.254813 | + | 0.441348i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −566.206 | − | 980.697i | −0.0615570 | − | 0.106620i | 0.833605 | − | 0.552362i | \(-0.186273\pi\) |
−0.895162 | + | 0.445742i | \(0.852940\pi\) | |||||||
\(440\) | 4679.78 | 0.507045 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1220.90 | 0.131385 | ||||||||
\(443\) | 4719.63 | + | 8174.65i | 0.506177 | + | 0.876725i | 0.999974 | + | 0.00714780i | \(0.00227523\pi\) |
−0.493797 | + | 0.869577i | \(0.664391\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5355.22 | − | 9275.52i | 0.570476 | − | 0.988094i | ||||
\(446\) | −4919.61 | − | 8521.01i | −0.522310 | − | 0.904668i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 340.820 | − | 1135.24i | 0.0359424 | − | 0.119721i | ||||
\(449\) | −8855.77 | −0.930801 | −0.465401 | − | 0.885100i | \(-0.654090\pi\) | ||||
−0.465401 | + | 0.885100i | \(0.654090\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1092.98 | + | 1893.10i | −0.114116 | + | 0.197655i | ||||
\(452\) | −1560.36 | + | 2702.63i | −0.162375 | + | 0.281241i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3006.26 | 0.310772 | ||||||||
\(455\) | −2031.33 | + | 479.785i | −0.209297 | + | 0.0494344i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2650.62 | − | 4591.01i | −0.271315 | − | 0.469931i | 0.697884 | − | 0.716211i | \(-0.254125\pi\) |
−0.969199 | + | 0.246280i | \(0.920792\pi\) | |||||||
\(458\) | −3740.05 | + | 6477.96i | −0.381574 | + | 0.660906i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2090.96 | − | 3621.65i | −0.211938 | − | 0.367088i | ||||
\(461\) | 8217.88 | 0.830249 | 0.415124 | − | 0.909765i | \(-0.363738\pi\) | ||||
0.415124 | + | 0.909765i | \(0.363738\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14957.4 | −1.50136 | −0.750682 | − | 0.660664i | \(-0.770275\pi\) | ||||
−0.750682 | + | 0.660664i | \(0.770275\pi\) | |||||||
\(464\) | 472.762 | + | 818.849i | 0.0473005 | + | 0.0819269i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1234.34 | + | 2137.94i | −0.122703 | + | 0.212528i | ||||
\(467\) | −121.131 | − | 209.805i | −0.0120027 | − | 0.0207893i | 0.859962 | − | 0.510359i | \(-0.170487\pi\) |
−0.871964 | + | 0.489569i | \(0.837154\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6182.46 | + | 6563.12i | 0.608698 | + | 0.646177i | ||||
\(470\) | −97.8958 | −0.00960765 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3421.92 | − | 5926.94i | 0.333700 | − | 0.577986i | ||||
\(473\) | 12143.8 | − | 21033.7i | 1.18049 | − | 2.04467i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3267.41 | −0.315619 | ||||||||
\(476\) | −5235.50 | + | 1236.59i | −0.504136 | + | 0.119073i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −407.673 | − | 706.110i | −0.0390095 | − | 0.0675664i | ||||
\(479\) | −4879.07 | + | 8450.79i | −0.465408 | + | 0.806110i | −0.999220 | − | 0.0394932i | \(-0.987426\pi\) |
0.533812 | + | 0.845603i | \(0.320759\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.9787 | − | 25.9439i | −0.00141990 | − | 0.00245934i | ||||
\(482\) | −250.067 | −0.0236312 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2291.67 | 0.215221 | ||||||||
\(485\) | 3517.60 | + | 6092.66i | 0.329332 | + | 0.570419i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6608.98 | − | 11447.1i | 0.614952 | − | 1.06513i | −0.375441 | − | 0.926846i | \(-0.622509\pi\) |
0.990393 | − | 0.138282i | \(-0.0441580\pi\) | |||||||
\(488\) | 28.3147 | + | 49.0424i | 0.00262653 | + | 0.00454928i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8224.88 | − | 4114.87i | 0.758290 | − | 0.379369i | ||||
\(491\) | −13789.5 | −1.26744 | −0.633720 | − | 0.773562i | \(-0.718473\pi\) | ||||
−0.633720 | + | 0.773562i | \(0.718473\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2145.67 | − | 3716.41i | 0.196016 | − | 0.339510i | ||||
\(494\) | 501.855 | − | 869.238i | 0.0457075 | − | 0.0791678i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1343.50 | 0.121623 | ||||||||
\(497\) | 3006.77 | − | 10015.3i | 0.271372 | − | 0.903917i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 995.188 | + | 1723.72i | 0.0892800 | + | 0.154638i | 0.907207 | − | 0.420684i | \(-0.138210\pi\) |
−0.817927 | + | 0.575322i | \(0.804877\pi\) | |||||||
\(500\) | −1884.10 | + | 3263.36i | −0.168519 | + | 0.291884i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4144.15 | − | 7177.87i | −0.368451 | − | 0.638176i | ||||
\(503\) | 221.800 | 0.0196612 | 0.00983059 | − | 0.999952i | \(-0.496871\pi\) | ||||
0.00983059 | + | 0.999952i | \(0.496871\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9043.04 | 0.796852 | ||||||||
\(506\) | −3402.74 | − | 5893.71i | −0.298953 | − | 0.517801i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1702.79 | + | 2949.32i | −0.148719 | + | 0.257588i | ||||
\(509\) | −2603.26 | − | 4508.99i | −0.226695 | − | 0.392647i | 0.730132 | − | 0.683306i | \(-0.239459\pi\) |
−0.956827 | + | 0.290659i | \(0.906125\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2335.04 | + | 2478.81i | 0.202145 | + | 0.214591i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 549.298 | − | 951.411i | 0.0471371 | − | 0.0816439i | ||||
\(515\) | 8375.94 | − | 14507.6i | 0.716676 | − | 1.24132i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −159.311 | −0.0135522 | ||||||||
\(518\) | 90.5098 | + | 96.0827i | 0.00767717 | + | 0.00814986i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 450.797 | + | 780.803i | 0.0380168 | + | 0.0658471i | ||||
\(521\) | −6123.38 | + | 10606.0i | −0.514914 | + | 0.891858i | 0.484936 | + | 0.874550i | \(0.338843\pi\) |
−0.999850 | + | 0.0173079i | \(0.994490\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6370.75 | + | 11034.5i | 0.532646 | + | 0.922569i | 0.999273 | + | 0.0381155i | \(0.0121355\pi\) |
−0.466628 | + | 0.884454i | \(0.654531\pi\) | |||||||
\(524\) | −6012.02 | −0.501214 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12319.0 | −1.02117 | ||||||||
\(527\) | −3048.80 | − | 5280.67i | −0.252007 | − | 0.436489i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3042.77 | − | 5270.23i | 0.250084 | − | 0.433157i | ||||
\(530\) | 4313.99 | + | 7472.05i | 0.353562 | + | 0.612387i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1271.67 | + | 4235.81i | −0.103635 | + | 0.345199i | ||||
\(533\) | −421.141 | −0.0342245 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 11879.2 | − | 20575.3i | 0.959964 | − | 1.66271i | ||||
\(536\) | 1947.38 | − | 3372.97i | 0.156929 | − | 0.271810i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 12795.0 | 1.02534 | ||||||||
\(539\) | 13384.8 | − | 6696.35i | 1.06962 | − | 0.535125i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1757.33 | + | 3043.78i | 0.139655 | + | 0.241890i | 0.927366 | − | 0.374155i | \(-0.122067\pi\) |
−0.787711 | + | 0.616045i | \(0.788734\pi\) | |||||||
\(542\) | 6430.40 | − | 11137.8i | 0.509612 | − | 0.882673i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1161.88 | + | 2012.43i | 0.0915717 | + | 0.158607i | ||||
\(545\) | 18292.0 | 1.43769 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8362.90 | 0.653696 | 0.326848 | − | 0.945077i | \(-0.394013\pi\) | ||||
0.326848 | + | 0.945077i | \(0.394013\pi\) | |||||||
\(548\) | −3473.60 | − | 6016.45i | −0.270775 | − | 0.468997i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2388.13 | − | 4136.37i | 0.185146 | − | 0.320683i | ||||
\(551\) | −1763.97 | − | 3055.29i | −0.136384 | − | 0.236225i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 23667.4 | − | 5590.08i | 1.81997 | − | 0.429863i | ||||
\(554\) | −8133.65 | −0.623765 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6232.81 | + | 10795.5i | −0.475414 | + | 0.823441i | ||||
\(557\) | 6241.84 | − | 10811.2i | 0.474821 | − | 0.822414i | −0.524763 | − | 0.851248i | \(-0.675846\pi\) |
0.999584 | + | 0.0288343i | \(0.00917952\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4679.18 | 0.354039 | ||||||||
\(560\) | −2723.97 | − | 2891.69i | −0.205551 | − | 0.218207i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2270.90 | + | 3933.31i | 0.170448 | + | 0.295225i | ||||
\(563\) | 5609.22 | − | 9715.46i | 0.419894 | − | 0.727278i | −0.576034 | − | 0.817426i | \(-0.695400\pi\) |
0.995928 | + | 0.0901473i | \(0.0287338\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5229.71 | + | 9058.13i | 0.389408 | + | 0.674475i | ||||
\(566\) | 14218.3 | 1.05590 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4516.95 | −0.333675 | ||||||||
\(569\) | 10878.7 | + | 18842.5i | 0.801511 | + | 1.38826i | 0.918621 | + | 0.395139i | \(0.129304\pi\) |
−0.117110 | + | 0.993119i | \(0.537363\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1353.09 | + | 2343.62i | −0.0991683 | + | 0.171765i | −0.911341 | − | 0.411653i | \(-0.864952\pi\) |
0.812172 | + | 0.583418i | \(0.198285\pi\) | |||||||
\(572\) | 733.607 | + | 1270.64i | 0.0536252 | + | 0.0928817i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1805.96 | − | 426.554i | 0.131323 | − | 0.0310174i | ||||
\(575\) | −4268.14 | −0.309555 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3842.52 | − | 6655.44i | 0.277238 | − | 0.480190i | −0.693460 | − | 0.720496i | \(-0.743914\pi\) |
0.970697 | + | 0.240306i | \(0.0772477\pi\) | |||||||
\(578\) | 360.256 | − | 623.982i | 0.0259250 | − | 0.0449035i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3169.02 | 0.226873 | ||||||||
\(581\) | 5013.94 | − | 16701.0i | 0.358026 | − | 1.19255i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7020.39 | + | 12159.7i | 0.498722 | + | 0.863812i | ||||
\(584\) | 735.502 | − | 1273.93i | 0.0521153 | − | 0.0902663i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1088.93 | + | 1886.08i | 0.0767632 | + | 0.132958i | ||||
\(587\) | −24730.3 | −1.73889 | −0.869445 | − | 0.494030i | \(-0.835523\pi\) | ||||
−0.869445 | + | 0.494030i | \(0.835523\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5012.89 | −0.350683 | ||||||||
\(590\) | −11468.9 | − | 19864.7i | −0.800283 | − | 1.38613i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 28.5092 | − | 49.3795i | 0.00197926 | − | 0.00342818i | ||||
\(593\) | 8612.12 | + | 14916.6i | 0.596387 | + | 1.03297i | 0.993350 | + | 0.115138i | \(0.0367309\pi\) |
−0.396963 | + | 0.917835i | \(0.629936\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5184.37 | + | 17268.7i | −0.357207 | + | 1.18983i | ||||
\(596\) | −11803.3 | −0.811211 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 655.562 | − | 1135.47i | 0.0448293 | − | 0.0776466i | ||||
\(599\) | 4841.41 | − | 8385.56i | 0.330241 | − | 0.571995i | −0.652318 | − | 0.757946i | \(-0.726203\pi\) |
0.982559 | + | 0.185951i | \(0.0595366\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16084.7 | 1.09169 | 0.545847 | − | 0.837885i | \(-0.316208\pi\) | ||||
0.545847 | + | 0.837885i | \(0.316208\pi\) | |||||||
\(602\) | −20065.5 | + | 4739.31i | −1.35848 | + | 0.320864i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2576.62 | + | 4462.83i | 0.173578 | + | 0.300646i | ||||
\(605\) | 3840.37 | − | 6651.72i | 0.258072 | − | 0.446993i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3883.60 | − | 6726.59i | −0.259688 | − | 0.449792i | 0.706470 | − | 0.707743i | \(-0.250286\pi\) |
−0.966158 | + | 0.257950i | \(0.916953\pi\) | |||||||
\(608\) | 1910.38 | 0.127428 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 189.799 | 0.0125979 | ||||||||
\(611\) | −15.3462 | − | 26.5804i | −0.00101611 | − | 0.00175995i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14001.4 | − | 24251.2i | 0.922531 | − | 1.59787i | 0.127047 | − | 0.991897i | \(-0.459450\pi\) |
0.795484 | − | 0.605974i | \(-0.207217\pi\) | |||||||
\(614\) | 1736.56 | + | 3007.81i | 0.114140 | + | 0.197696i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4432.86 | − | 4705.80i | −0.289943 | − | 0.307795i | ||||
\(617\) | 10440.8 | 0.681247 | 0.340624 | − | 0.940200i | \(-0.389362\pi\) | ||||
0.340624 | + | 0.940200i | \(0.389362\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 14166.3 | − | 24536.7i | 0.919857 | − | 1.59324i | 0.120227 | − | 0.992746i | \(-0.461638\pi\) |
0.799630 | − | 0.600493i | \(-0.205029\pi\) | |||||||
\(620\) | 2251.44 | − | 3899.61i | 0.145839 | − | 0.252600i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −4658.95 | −0.300332 | ||||||||
\(623\) | −14399.7 | + | 3401.12i | −0.926025 | + | 0.218720i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9735.45 | + | 16862.3i | 0.623069 | + | 1.07919i | ||||
\(626\) | 3488.00 | − | 6041.39i | 0.222697 | − | 0.385723i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6665.80 | + | 11545.5i | 0.423558 | + | 0.733624i | ||||
\(629\) | −258.783 | −0.0164044 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6567.27 | −0.414325 | −0.207162 | − | 0.978307i | \(-0.566423\pi\) | ||||
−0.207162 | + | 0.978307i | \(0.566423\pi\) | |||||||
\(632\) | −5252.33 | − | 9097.31i | −0.330580 | − | 0.572581i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2697.55 | − | 4672.29i | 0.168980 | − | 0.292682i | ||||
\(635\) | 5707.07 | + | 9884.93i | 0.356658 | + | 0.617750i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2406.60 | + | 1588.15i | 0.149691 | + | 0.0987831i | ||||
\(638\) | 5157.12 | 0.320019 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −858.009 | + | 1486.11i | −0.0529934 | + | 0.0917872i | ||||
\(641\) | −3966.30 | + | 6869.84i | −0.244399 | + | 0.423311i | −0.961962 | − | 0.273182i | \(-0.911924\pi\) |
0.717564 | + | 0.696493i | \(0.245257\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21042.2 | −1.29055 | −0.645274 | − | 0.763951i | \(-0.723257\pi\) | ||||
−0.645274 | + | 0.763951i | \(0.723257\pi\) | |||||||
\(644\) | −1661.15 | + | 5533.14i | −0.101644 | + | 0.338566i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4335.19 | − | 7508.77i | −0.264034 | − | 0.457320i | ||||
\(647\) | −14683.0 | + | 25431.7i | −0.892193 | + | 1.54532i | −0.0549522 | + | 0.998489i | \(0.517501\pi\) |
−0.837241 | + | 0.546834i | \(0.815833\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −18664.0 | − | 32326.9i | −1.12885 | − | 1.95523i | ||||
\(650\) | 920.183 | 0.0555270 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −14604.5 | −0.877235 | ||||||||
\(653\) | 12269.9 | + | 21252.2i | 0.735314 | + | 1.27360i | 0.954585 | + | 0.297937i | \(0.0962987\pi\) |
−0.219271 | + | 0.975664i | \(0.570368\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10074.9 | + | 17450.3i | −0.601008 | + | 1.04098i | ||||
\(656\) | −400.782 | − | 694.175i | −0.0238535 | − | 0.0413155i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 92.7304 | + | 98.4400i | 0.00549393 | + | 0.00583220i | ||||
\(659\) | −4246.88 | −0.251039 | −0.125520 | − | 0.992091i | \(-0.540060\pi\) | ||||
−0.125520 | + | 0.992091i | \(0.540060\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10274.9 | + | 17796.7i | −0.604611 | + | 1.04722i | 0.387502 | + | 0.921869i | \(0.373338\pi\) |
−0.992113 | + | 0.125348i | \(0.959995\pi\) | |||||||
\(662\) | −9971.77 | + | 17271.6i | −0.585444 | + | 1.01402i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7532.24 | −0.440222 | ||||||||
\(665\) | 10163.7 | + | 10789.5i | 0.592677 | + | 0.629169i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2304.24 | − | 3991.06i | −0.133764 | − | 0.231686i | ||||
\(668\) | 6779.96 | − | 11743.2i | 0.392701 | − | 0.680179i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6526.84 | − | 11304.8i | −0.376349 | − | 0.651856i | ||||
\(671\) | 308.870 | 0.0177702 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6712.91 | −0.384493 | −0.192246 | − | 0.981347i | \(-0.561577\pi\) | ||||
−0.192246 | + | 0.981347i | \(0.561577\pi\) | |||||||
\(674\) | −8607.45 | − | 14908.5i | −0.491909 | − | 0.852011i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4252.67 | − | 7365.83i | 0.241959 | − | 0.419085i | ||||
\(677\) | 12236.0 | + | 21193.3i | 0.694632 | + | 1.20314i | 0.970305 | + | 0.241886i | \(0.0777661\pi\) |
−0.275673 | + | 0.961252i | \(0.588901\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2794.53 | − | 9308.34i | 0.157944 | − | 0.526099i | ||||
\(680\) | 7788.27 | 0.439216 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3663.90 | − | 6346.05i | 0.205715 | − | 0.356309i | ||||
\(683\) | −10284.1 | + | 17812.5i | −0.576148 | + | 0.997918i | 0.419768 | + | 0.907632i | \(0.362112\pi\) |
−0.995916 | + | 0.0902863i | \(0.971222\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23284.2 | −1.29875 | ||||||||
\(686\) | −11928.6 | − | 4372.85i | −0.663904 | − | 0.243376i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4452.97 | + | 7712.77i | 0.246756 | + | 0.427394i | ||||
\(689\) | −1352.53 | + | 2342.65i | −0.0747856 | + | 0.129532i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3635.32 | + | 6296.55i | 0.200136 | + | 0.346646i | 0.948572 | − | 0.316561i | \(-0.102528\pi\) |
−0.748436 | + | 0.663207i | \(0.769195\pi\) | |||||||
\(692\) | −2518.00 | −0.138324 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 11081.8 | 0.606135 | ||||||||
\(695\) | 20889.9 | + | 36182.3i | 1.14014 | + | 1.97478i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1818.98 | + | 3150.56i | −0.0988504 | + | 0.171214i | ||||
\(698\) | −1450.89 | − | 2513.02i | −0.0786779 | − | 0.136274i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3945.97 | + | 932.009i | −0.213062 | + | 0.0503238i | ||||
\(701\) | 3876.20 | 0.208848 | 0.104424 | − | 0.994533i | \(-0.466700\pi\) | ||||
0.104424 | + | 0.994533i | \(0.466700\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −106.374 | + | 184.245i | −0.00570692 | + | 0.00988467i | ||||
\(704\) | −1396.28 | + | 2418.44i | −0.0747507 | + | 0.129472i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9857.56 | 0.525487 | ||||||||
\(707\) | −8565.90 | − | 9093.32i | −0.455663 | − | 0.483719i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −10514.6 | − | 18211.8i | −0.556960 | − | 0.964682i | −0.997748 | − | 0.0670713i | \(-0.978634\pi\) |
0.440789 | − | 0.897611i | \(-0.354699\pi\) | |||||||
\(710\) | −7569.50 | + | 13110.8i | −0.400110 | + | 0.693011i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3195.63 | + | 5534.99i | 0.168204 | + | 0.291338i | ||||
\(713\) | −6548.22 | −0.343945 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4917.51 | 0.257209 | ||||||||
\(716\) | −486.988 | − | 843.488i | −0.0254184 | − | 0.0440260i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1249.86 | − | 2164.82i | 0.0649642 | − | 0.112521i | ||||
\(719\) | 5169.58 | + | 8953.98i | 0.268140 | + | 0.464433i | 0.968382 | − | 0.249474i | \(-0.0802576\pi\) |
−0.700241 | + | 0.713906i | \(0.746924\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22522.2 | + | 5319.58i | −1.16334 | + | 0.274773i | ||||
\(722\) | 6590.00 | 0.339687 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −8432.16 | + | 14604.9i | −0.432844 | + | 0.749707i | ||||
\(725\) | 1617.18 | − | 2801.03i | 0.0828421 | − | 0.143487i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9537.43 | 0.486552 | 0.243276 | − | 0.969957i | \(-0.421778\pi\) | ||||
0.243276 | + | 0.969957i | \(0.421778\pi\) | |||||||
\(728\) | 358.133 | − | 1192.91i | 0.0182325 | − | 0.0607309i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2465.11 | − | 4269.69i | −0.124983 | − | 0.216477i | ||||
\(731\) | 20210.1 | − | 35005.0i | 1.02257 | − | 1.77114i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6617.25 | + | 11461.4i | 0.333443 | + | 0.577540i | 0.983184 | − | 0.182615i | \(-0.0584562\pi\) |
−0.649742 | + | 0.760155i | \(0.725123\pi\) | |||||||
\(734\) | 7228.69 | 0.363509 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2495.48 | 0.124979 | ||||||||
\(737\) | −10621.5 | − | 18397.0i | −0.530865 | − | 0.919485i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18675.7 | + | 32347.2i | −0.929628 | + | 1.61016i | −0.145685 | + | 0.989331i | \(0.546539\pi\) |
−0.783943 | + | 0.620833i | \(0.786795\pi\) | |||||||
\(740\) | −95.5515 | − | 165.500i | −0.00474668 | − | 0.00822149i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3427.22 | − | 11415.8i | 0.169565 | − | 0.564806i | ||||
\(743\) | −23.0684 | −0.00113903 | −0.000569515 | − | 1.00000i | \(-0.500181\pi\) | ||||
−0.000569515 | 1.00000i | \(0.500181\pi\) | ||||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −19779.9 | + | 34259.9i | −0.972727 | + | 1.68481i | ||||
\(746\) | 5571.41 | − | 9649.97i | 0.273437 | − | 0.473607i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12674.3 | 0.619542 | ||||||||
\(749\) | −31942.0 | + | 7544.48i | −1.55826 | + | 0.368050i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9842.85 | + | 17048.3i | 0.478257 | + | 0.828365i | 0.999689 | − | 0.0249278i | \(-0.00793559\pi\) |
−0.521433 | + | 0.853292i | \(0.674602\pi\) | |||||||
\(752\) | 29.2087 | − | 50.5910i | 0.00141640 | − | 0.00245327i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 496.778 | + | 860.445i | 0.0239941 | + | 0.0415591i | ||||
\(755\) | 17271.6 | 0.832552 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5562.94 | 0.267092 | 0.133546 | − | 0.991043i | \(-0.457364\pi\) | ||||
0.133546 | + | 0.991043i | \(0.457364\pi\) | |||||||
\(758\) | 2674.89 | + | 4633.05i | 0.128175 | + | 0.222005i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3201.40 | − | 5545.00i | 0.152799 | − | 0.264655i | ||||
\(761\) | −4584.56 | − | 7940.68i | −0.218384 | − | 0.378252i | 0.735930 | − | 0.677057i | \(-0.236745\pi\) |
−0.954314 | + | 0.298806i | \(0.903412\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17326.8 | − | 18393.7i | −0.822114 | − | 0.872733i | ||||
\(764\) | −15203.5 | −0.719953 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3350.45 | + | 5803.14i | −0.158037 | + | 0.273729i | ||||
\(767\) | 3595.75 | − | 6228.02i | 0.169276 | − | 0.293195i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12864.9 | −0.603277 | −0.301638 | − | 0.953422i | \(-0.597534\pi\) | ||||
−0.301638 | + | 0.953422i | \(0.597534\pi\) | |||||||
\(770\) | −21087.5 | + | 4980.71i | −0.986935 | + | 0.233107i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7692.04 | − | 13323.0i | −0.358604 | − | 0.621121i | ||||
\(773\) | −460.408 | + | 797.450i | −0.0214227 | + | 0.0371052i | −0.876538 | − | 0.481333i | \(-0.840153\pi\) |
0.855115 | + | 0.518438i | \(0.173486\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2297.86 | − | 3980.01i | −0.106505 | − | 0.184473i | ||||
\(776\) | −4198.12 | −0.194206 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14118.8 | 0.650623 | ||||||||
\(779\) | 1495.40 | + | 2590.11i | 0.0687782 | + | 0.119127i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12318.3 | + | 21335.9i | −0.564382 | + | 0.977538i | ||||
\(782\) | −5662.96 | − | 9808.54i | −0.258960 | − | 0.448533i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −327.521 | + | 5478.22i | −0.0149199 | + | 0.249554i | ||||
\(785\) | 44682.1 | 2.03156 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2159.63 | − | 3740.60i | 0.0978179 | − | 0.169426i | −0.812963 | − | 0.582315i | \(-0.802147\pi\) |
0.910781 | + | 0.412889i | \(0.135480\pi\) | |||||||
\(788\) | −9479.04 | + | 16418.2i | −0.428524 | + | 0.742225i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −35207.4 | −1.58560 | ||||||||
\(791\) | 4154.71 | − | 13839.0i | 0.186757 | − | 0.622070i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 29.7530 | + | 51.5337i | 0.00133236 | + | 0.00230771i | ||||
\(794\) | 11020.5 | − | 19088.1i | 0.492574 | − | 0.853163i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8294.13 | + | 14365.9i | 0.369319 | + | 0.639679i | ||||
\(797\) | −20369.7 | −0.905308 | −0.452654 | − | 0.891686i | \(-0.649523\pi\) | ||||
−0.452654 | + | 0.891686i | \(0.649523\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −265.132 | −0.0117393 | ||||||||
\(800\) | 875.699 | + | 1516.76i | 0.0387008 | + | 0.0670317i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2917.95 | − | 5054.04i | 0.128474 | − | 0.222524i | ||||
\(803\) | −4011.60 | − | 6948.30i | −0.176297 | − | 0.305355i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 13276.6 | + | 14094.0i | 0.581289 | + | 0.617080i | ||||
\(806\) | 1411.75 | 0.0616958 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2698.13 | + | 4673.30i | −0.117475 | + | 0.203473i | ||||
\(809\) | 18244.3 | − | 31600.1i | 0.792876 | − | 1.37330i | −0.131304 | − | 0.991342i | \(-0.541916\pi\) |
0.924179 | − | 0.381959i | \(-0.124750\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5722.53 | −0.247775 | −0.123887 | − | 0.992296i | \(-0.539536\pi\) | ||||
−0.123887 | + | 0.992296i | \(0.539536\pi\) | |||||||
\(812\) | −3001.81 | − | 3186.64i | −0.129733 | − | 0.137720i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −155.496 | − | 269.327i | −0.00669550 | − | 0.0115969i | ||||
\(815\) | −24474.2 | + | 42390.6i | −1.05190 | + | 1.82194i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −16614.9 | − | 28777.9i | −0.711485 | − | 1.23233i | ||||
\(818\) | 5600.10 | 0.239368 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2686.52 | −0.114411 | ||||||||
\(821\) | 15351.2 | + | 26589.1i | 0.652572 | + | 1.13029i | 0.982497 | + | 0.186280i | \(0.0596432\pi\) |
−0.329925 | + | 0.944007i | \(0.607023\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2340.54 | − | 4053.94i | 0.0991326 | − | 0.171703i | −0.812193 | − | 0.583388i | \(-0.801727\pi\) |
0.911326 | + | 0.411686i | \(0.135060\pi\) | |||||||
\(824\) | 4998.18 | + | 8657.10i | 0.211311 | + | 0.366001i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9111.38 | + | 30349.2i | −0.383808 | + | 1.27843i | ||||
\(827\) | 10970.9 | 0.461300 | 0.230650 | − | 0.973037i | \(-0.425915\pi\) | ||||
0.230650 | + | 0.973037i | \(0.425915\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −9850.98 | + | 17062.4i | −0.412713 | + | 0.714839i | −0.995185 | − | 0.0980110i | \(-0.968752\pi\) |
0.582473 | + | 0.812850i | \(0.302085\pi\) | |||||||
\(830\) | −12622.5 | + | 21862.8i | −0.527872 | + | 0.914301i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −538.009 | −0.0224184 | ||||||||
\(833\) | 22275.5 | − | 11144.3i | 0.926530 | − | 0.463539i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −22723.7 | − | 39358.6i | −0.941779 | − | 1.63121i | ||||
\(836\) | 5209.82 | − | 9023.68i | 0.215533 | − | 0.373314i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7229.43 | − | 12521.7i | −0.298015 | − | 0.516177i | ||||
\(839\) | −22274.4 | −0.916564 | −0.458282 | − | 0.888807i | \(-0.651535\pi\) | ||||
−0.458282 | + | 0.888807i | \(0.651535\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20896.7 | −0.856810 | ||||||||
\(842\) | −10949.7 | − | 18965.4i | −0.448160 | − | 0.776237i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −453.988 | + | 786.330i | −0.0185153 | + | 0.0320694i | ||||
\(845\) | −14253.2 | − | 24687.3i | −0.580267 | − | 1.00505i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10326.4 | + | 2439.03i | −0.418915 | + | 0.0989446i | ||||
\(848\) | −5148.58 | −0.208494 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3974.42 | − | 6883.91i | 0.160378 | − | 0.277784i | ||||
\(851\) | −138.954 | + | 240.675i | −0.00559726 | + | 0.00969474i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 28462.2 | 1.14247 | 0.571234 | − | 0.820787i | \(-0.306465\pi\) | ||||
0.571234 | + | 0.820787i | \(0.306465\pi\) | |||||||
\(854\) | −179.784 | − | 190.854i | −0.00720385 | − | 0.00764740i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7088.66 | + | 12277.9i | 0.283044 | + | 0.490246i | ||||
\(857\) | 15320.4 | − | 26535.7i | 0.610658 | − | 1.05769i | −0.380472 | − | 0.924793i | \(-0.624238\pi\) |
0.991130 | − | 0.132898i | \(-0.0424284\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2623.56 | − | 4544.14i | −0.104208 | − | 0.180494i | 0.809206 | − | 0.587525i | \(-0.199897\pi\) |
−0.913414 | + | 0.407031i | \(0.866564\pi\) | |||||||
\(860\) | 29849.1 | 1.18354 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −20187.9 | −0.797685 | ||||||||
\(863\) | 8166.76 | + | 14145.2i | 0.322132 | + | 0.557949i | 0.980928 | − | 0.194373i | \(-0.0622672\pi\) |
−0.658796 | + | 0.752322i | \(0.728934\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4219.67 | + | 7308.67i | −0.165865 | + | 0.287286i | ||||
\(866\) | 11040.9 | + | 19123.5i | 0.433240 | + | 0.750394i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6053.94 | + | 1429.90i | −0.236733 | + | 0.0559146i | ||||
\(869\) | −57294.9 | −2.23659 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2046.31 | − | 3544.31i | 0.0796055 | − | 0.137881i | ||||
\(872\) | −5457.69 | + | 9453.00i | −0.211950 | + | 0.367109i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −9311.14 | −0.360359 | ||||||||
\(875\) | 5016.71 | − | 16710.2i | 0.193824 | − | 0.645610i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2357.53 | − | 4083.35i | −0.0907731 | − | 0.157224i | 0.817064 | − | 0.576548i | \(-0.195600\pi\) |
−0.907837 | + | 0.419324i | \(0.862267\pi\) | |||||||
\(878\) | 1132.41 | − | 1961.39i | 0.0435274 | − | 0.0753917i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4679.78 | + | 8105.62i | 0.179268 | + | 0.310501i | ||||
\(881\) | −31965.3 | −1.22240 | −0.611202 | − | 0.791475i | \(-0.709314\pi\) | ||||
−0.611202 | + | 0.791475i | \(0.709314\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20209.4 | 0.770217 | 0.385109 | − | 0.922871i | \(-0.374164\pi\) | ||||
0.385109 | + | 0.922871i | \(0.374164\pi\) | |||||||
\(884\) | 1220.90 | + | 2114.65i | 0.0464516 | + | 0.0804565i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9439.27 | + | 16349.3i | −0.357921 | + | 0.619938i | ||||
\(887\) | 8313.28 | + | 14399.0i | 0.314693 | + | 0.545064i | 0.979372 | − | 0.202065i | \(-0.0647651\pi\) |
−0.664679 | + | 0.747129i | \(0.731432\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4533.94 | − | 15102.2i | 0.171050 | − | 0.569753i | ||||
\(890\) | 21420.9 | 0.806775 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 9839.22 | − | 17042.0i | 0.369329 | − | 0.639697i | ||||
\(893\) | −108.984 | + | 188.765i | −0.00408398 | + | 0.00707367i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3264.37 | −0.121917 | ||||||||
\(896\) | 2307.11 | − | 544.923i | 0.0860215 | − | 0.0203176i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8855.77 | − | 15338.6i | −0.329088 | − | 0.569997i | ||||
\(899\) | 2481.09 | − | 4297.37i | 0.0920455 | − | 0.159427i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11683.6 | + | 20236.6i | 0.432006 | + | 0.748256i | ||||
\(902\) | −4371.92 | −0.161385 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6241.46 | −0.229633 | ||||||||
\(905\) | 28261.2 | + | 48949.8i | 1.03805 | + | 1.79795i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9941.67 | − | 17219.5i | 0.363956 | − | 0.630390i | −0.624652 | − | 0.780903i | \(-0.714759\pi\) |
0.988608 | + | 0.150513i | \(0.0480927\pi\) | |||||||
\(908\) | 3006.26 | + | 5206.99i | 0.109875 | + | 0.190308i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2862.34 | − | 3038.58i | −0.104270 | − | 0.110690i | ||||
\(911\) | −4520.76 | −0.164412 | −0.0822060 | − | 0.996615i | \(-0.526197\pi\) | ||||
−0.0822060 | + | 0.996615i | \(0.526197\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20541.3 | + | 35578.6i | −0.744598 | + | 1.28968i | ||||
\(914\) | 5301.24 | − | 9182.02i | 0.191849 | − | 0.332291i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14960.2 | −0.539628 | ||||||||
\(917\) | 27090.6 | − | 6398.61i | 0.975585 | − | 0.230426i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −262.053 | − | 453.889i | −0.00940623 | − | 0.0162921i | 0.861284 | − | 0.508124i | \(-0.169661\pi\) |
−0.870690 | + | 0.491832i | \(0.836327\pi\) | |||||||
\(920\) | 4181.92 | − | 7243.30i | 0.149863 | − | 0.259570i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 8217.88 | + | 14233.8i | 0.293537 | + | 0.508421i | ||||
\(923\) | −4746.41 | −0.169263 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −195.043 | −0.00693295 | ||||||||
\(926\) | −14957.4 | − | 25907.1i | −0.530812 | − | 0.919394i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −945.525 | + | 1637.70i | −0.0334465 | + | 0.0579311i | ||||
\(929\) | −2348.23 | − | 4067.25i | −0.0829310 | − | 0.143641i | 0.821577 | − | 0.570098i | \(-0.193095\pi\) |
−0.904508 | + | 0.426457i | \(0.859761\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1222.05 | − | 20440.3i | 0.0430193 | − | 0.719555i | ||||
\(932\) | −4937.35 | −0.173528 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 242.262 | − | 419.610i | 0.00848720 | − | 0.0147003i | ||||
\(935\) | 21239.5 | − | 36788.0i | 0.742896 | − | 1.28673i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 28172.9 | 0.982250 | 0.491125 | − | 0.871089i | \(-0.336586\pi\) | ||||
0.491125 | + | 0.871089i | \(0.336586\pi\) | |||||||
\(938\) | −5185.20 | + | 17271.5i | −0.180493 | + | 0.601208i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −97.8958 | − | 169.560i | −0.00339682 | − | 0.00588346i | ||||
\(941\) | −2698.64 | + | 4674.19i | −0.0934891 | + | 0.161928i | −0.908977 | − | 0.416846i | \(-0.863135\pi\) |
0.815488 | + | 0.578774i | \(0.196469\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1953.41 | + | 3383.40i | 0.0674567 | + | 0.116838i | ||||
\(944\) | 13687.7 | 0.471924 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 48575.1 | 1.66947 | ||||||||
\(947\) | −8835.13 | − | 15302.9i | −0.303171 | − | 0.525108i | 0.673681 | − | 0.739022i | \(-0.264712\pi\) |
−0.976852 | + | 0.213914i | \(0.931379\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 772.865 | − | 1338.64i | 0.0264365 | − | 0.0457894i | ||||
\(950\) | −3267.41 | − | 5659.32i | −0.111588 | − | 0.193276i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7377.33 | − | 7831.57i | −0.251156 | − | 0.266620i | ||||
\(953\) | −54328.8 | −1.84668 | −0.923338 | − | 0.383989i | \(-0.874550\pi\) | ||||
−0.923338 | + | 0.383989i | \(0.874550\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −25478.0 | + | 44129.3i | −0.863298 | + | 1.49528i | ||||
\(956\) | 815.346 | − | 1412.22i | 0.0275838 | − | 0.0477766i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −19516.3 | −0.658186 | ||||||||
\(959\) | 22055.7 | + | 23413.7i | 0.742664 | + | 0.788391i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11370.1 | + | 19693.6i | 0.381662 | + | 0.661058i | ||||
\(962\) | 29.9575 | − | 51.8879i | 0.00100402 | − | 0.00173901i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −250.067 | − | 433.130i | −0.00835491 | − | 0.0144711i | ||||
\(965\) | −51561.2 | −1.72002 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37517.1 | 1.24764 | 0.623821 | − | 0.781567i | \(-0.285579\pi\) | ||||
0.623821 | + | 0.781567i | \(0.285579\pi\) | |||||||
\(968\) | 2291.67 | + | 3969.29i | 0.0760920 | + | 0.131795i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −7035.20 | + | 12185.3i | −0.232873 | + | 0.403347i | ||||
\(971\) | −26650.0 | − | 46159.1i | −0.880781 | − | 1.52556i | −0.850474 | − | 0.526018i | \(-0.823685\pi\) |
−0.0303077 | − | 0.999541i | \(-0.509649\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 16595.8 | − | 55279.2i | 0.546801 | − | 1.82135i | ||||
\(974\) | 26435.9 | 0.869674 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −56.6293 | + | 98.0849i | −0.00185723 | + | 0.00321682i | ||||
\(977\) | −12188.1 | + | 21110.4i | −0.399111 | + | 0.691281i | −0.993616 | − | 0.112811i | \(-0.964015\pi\) |
0.594505 | + | 0.804092i | \(0.297348\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 34859.4 | 1.13801 | ||||||||
\(980\) | 15352.0 | + | 10131.0i | 0.500411 | + | 0.330229i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13789.5 | − | 23884.2i | −0.448108 | − | 0.776146i | ||||
\(983\) | 220.918 | − | 382.641i | 0.00716804 | − | 0.0124154i | −0.862419 | − | 0.506195i | \(-0.831052\pi\) |
0.869587 | + | 0.493779i | \(0.164385\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 31769.9 | + | 55027.1i | 1.02769 | + | 1.78001i | ||||
\(986\) | 8582.67 | 0.277209 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2007.42 | 0.0646402 | ||||||||
\(989\) | −21703.7 | − | 37591.9i | −0.697814 | − | 1.20865i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22694.0 | + | 39307.2i | −0.727447 | + | 1.25998i | 0.230512 | + | 0.973070i | \(0.425960\pi\) |
−0.957959 | + | 0.286906i | \(0.907373\pi\) | |||||||
\(992\) | 1343.50 | + | 2327.02i | 0.0430003 | + | 0.0744787i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 20353.8 | − | 4807.41i | 0.649479 | − | 0.153402i | ||||
\(995\) | 55597.2 | 1.77141 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19853.0 | − | 34386.3i | 0.630641 | − | 1.09230i | −0.356780 | − | 0.934189i | \(-0.616125\pi\) |
0.987421 | − | 0.158114i | \(-0.0505414\pi\) | |||||||
\(998\) | −1990.38 | + | 3447.43i | −0.0631305 | + | 0.109345i | ||||
\(999\) | 0 | 0 |
(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 | 378.4.g.b.109.3 | yes | 6 | |
3.2 | odd | 2 | 378.4.g.a.109.1 | ✓ | 6 | ||
7.2 | even | 3 | inner | 378.4.g.b.163.3 | yes | 6 | |
21.2 | odd | 6 | 378.4.g.a.163.1 | yes | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.4.g.a.109.1 | ✓ | 6 | 3.2 | odd | 2 | ||
378.4.g.a.163.1 | yes | 6 | 21.2 | odd | 6 | ||
378.4.g.b.109.3 | yes | 6 | 1.1 | even | 1 | trivial | |
378.4.g.b.163.3 | yes | 6 | 7.2 | even | 3 | inner |