Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(11,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.j (of order \(10\), degree \(4\), 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: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 75.11 |
Dual form | 75.3.j.a.41.3 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.71799 | − | 2.36461i | −0.858995 | − | 1.18231i | −0.981808 | − | 0.189875i | \(-0.939192\pi\) |
0.122813 | − | 0.992430i | \(-0.460808\pi\) | |||||||
\(3\) | −2.67836 | + | 1.35143i | −0.892788 | + | 0.450478i | ||||
\(4\) | −1.40382 | + | 4.32053i | −0.350956 | + | 1.08013i | ||||
\(5\) | 2.09404 | + | 4.54038i | 0.418807 | + | 0.908075i | ||||
\(6\) | 7.79701 | + | 4.01154i | 1.29950 | + | 0.668590i | ||||
\(7\) | 3.73689 | 0.533842 | 0.266921 | − | 0.963718i | \(-0.413994\pi\) | ||||
0.266921 | + | 0.963718i | \(0.413994\pi\) | |||||||
\(8\) | 1.50905 | − | 0.490320i | 0.188631 | − | 0.0612900i | ||||
\(9\) | 5.34726 | − | 7.23926i | 0.594140 | − | 0.804362i | ||||
\(10\) | 7.13868 | − | 12.7519i | 0.713868 | − | 1.27519i | ||||
\(11\) | 10.5733 | + | 14.5529i | 0.961212 | + | 1.32299i | 0.946363 | + | 0.323105i | \(0.104727\pi\) |
0.0148488 | + | 0.999890i | \(0.495273\pi\) | |||||||
\(12\) | −2.07895 | − | 13.4691i | −0.173246 | − | 1.12243i | ||||
\(13\) | −1.50304 | − | 1.09202i | −0.115618 | − | 0.0840015i | 0.528474 | − | 0.848950i | \(-0.322765\pi\) |
−0.644092 | + | 0.764948i | \(0.722765\pi\) | |||||||
\(14\) | −6.41994 | − | 8.83629i | −0.458567 | − | 0.631164i | ||||
\(15\) | −11.7446 | − | 9.33082i | −0.782974 | − | 0.622055i | ||||
\(16\) | 10.9491 | + | 7.95498i | 0.684318 | + | 0.497186i | ||||
\(17\) | −7.75818 | + | 2.52078i | −0.456363 | + | 0.148281i | −0.528173 | − | 0.849137i | \(-0.677123\pi\) |
0.0718094 | + | 0.997418i | \(0.477123\pi\) | |||||||
\(18\) | −26.3046 | − | 0.207217i | −1.46136 | − | 0.0115121i | ||||
\(19\) | 7.94368 | + | 24.4481i | 0.418088 | + | 1.28674i | 0.909459 | + | 0.415793i | \(0.136496\pi\) |
−0.491371 | + | 0.870950i | \(0.663504\pi\) | |||||||
\(20\) | −22.5565 | + | 2.67345i | −1.12782 | + | 0.133673i | ||||
\(21\) | −10.0088 | + | 5.05016i | −0.476607 | + | 0.240484i | ||||
\(22\) | 16.2472 | − | 50.0036i | 0.738507 | − | 2.27289i | ||||
\(23\) | 9.59983 | + | 13.2130i | 0.417384 | + | 0.574479i | 0.965000 | − | 0.262250i | \(-0.0844646\pi\) |
−0.547616 | + | 0.836730i | \(0.684465\pi\) | |||||||
\(24\) | −3.37915 | + | 3.35263i | −0.140798 | + | 0.139693i | ||||
\(25\) | −16.2300 | + | 19.0154i | −0.649201 | + | 0.760617i | ||||
\(26\) | 5.43017i | 0.208853i | ||||||||
\(27\) | −4.53854 | + | 26.6158i | −0.168094 | + | 0.985771i | ||||
\(28\) | −5.24594 | + | 16.1453i | −0.187355 | + | 0.576619i | ||||
\(29\) | −18.4410 | − | 5.99183i | −0.635896 | − | 0.206615i | −0.0267106 | − | 0.999643i | \(-0.508503\pi\) |
−0.609185 | + | 0.793028i | \(0.708503\pi\) | |||||||
\(30\) | −1.88665 | + | 43.8017i | −0.0628884 | + | 1.46006i | ||||
\(31\) | −15.1386 | − | 46.5917i | −0.488340 | − | 1.50296i | −0.827084 | − | 0.562078i | \(-0.810002\pi\) |
0.338744 | − | 0.940879i | \(-0.389998\pi\) | |||||||
\(32\) | − | 45.9037i | − | 1.43449i | ||||||
\(33\) | −47.9865 | − | 24.6889i | −1.45414 | − | 0.748149i | ||||
\(34\) | 19.2891 | + | 14.0144i | 0.567328 | + | 0.412188i | ||||
\(35\) | 7.82519 | + | 16.9669i | 0.223577 | + | 0.484768i | ||||
\(36\) | 23.7708 | + | 33.2656i | 0.660299 | + | 0.924045i | ||||
\(37\) | 1.93301 | + | 1.40441i | 0.0522435 | + | 0.0379571i | 0.613601 | − | 0.789617i | \(-0.289721\pi\) |
−0.561357 | + | 0.827574i | \(0.689721\pi\) | |||||||
\(38\) | 44.1631 | − | 60.7853i | 1.16219 | − | 1.59961i | ||||
\(39\) | 5.50147 | + | 0.893573i | 0.141063 | + | 0.0229121i | ||||
\(40\) | 5.38624 | + | 5.82490i | 0.134656 | + | 0.145623i | ||||
\(41\) | 22.4075 | − | 30.8413i | 0.546525 | − | 0.752227i | −0.443011 | − | 0.896516i | \(-0.646090\pi\) |
0.989536 | + | 0.144289i | \(0.0460896\pi\) | |||||||
\(42\) | 29.1366 | + | 14.9907i | 0.693728 | + | 0.356921i | ||||
\(43\) | 2.68173 | 0.0623659 | 0.0311829 | − | 0.999514i | \(-0.490073\pi\) | ||||
0.0311829 | + | 0.999514i | \(0.490073\pi\) | |||||||
\(44\) | −77.7195 | + | 25.2526i | −1.76635 | + | 0.573922i | ||||
\(45\) | 44.0663 | + | 9.11930i | 0.979251 | + | 0.202651i | ||||
\(46\) | 14.7513 | − | 45.3997i | 0.320679 | − | 0.986950i | ||||
\(47\) | 76.6520 | + | 24.9057i | 1.63089 | + | 0.529909i | 0.974477 | − | 0.224489i | \(-0.0720713\pi\) |
0.656417 | + | 0.754399i | \(0.272071\pi\) | |||||||
\(48\) | −40.0762 | − | 6.50936i | −0.834922 | − | 0.135612i | ||||
\(49\) | −35.0356 | −0.715013 | ||||||||
\(50\) | 72.8471 | + | 5.70935i | 1.45694 | + | 0.114187i | ||||
\(51\) | 17.3725 | − | 17.2362i | 0.340638 | − | 0.337965i | ||||
\(52\) | 6.82810 | − | 4.96090i | 0.131310 | − | 0.0954020i | ||||
\(53\) | −28.2032 | − | 9.16379i | −0.532137 | − | 0.172902i | 0.0306095 | − | 0.999531i | \(-0.490255\pi\) |
−0.562746 | + | 0.826630i | \(0.690255\pi\) | |||||||
\(54\) | 70.7332 | − | 34.9938i | 1.30987 | − | 0.648034i | ||||
\(55\) | −43.9349 | + | 78.4813i | −0.798816 | + | 1.42693i | ||||
\(56\) | 5.63916 | − | 1.83227i | 0.100699 | − | 0.0327192i | ||||
\(57\) | −54.3161 | − | 54.7456i | −0.952913 | − | 0.960449i | ||||
\(58\) | 17.5130 | + | 53.8996i | 0.301949 | + | 0.929304i | ||||
\(59\) | 13.8795 | − | 19.1035i | 0.235246 | − | 0.323789i | −0.675030 | − | 0.737790i | \(-0.735869\pi\) |
0.910276 | + | 0.414002i | \(0.135869\pi\) | |||||||
\(60\) | 56.8014 | − | 37.6440i | 0.946690 | − | 0.627400i | ||||
\(61\) | 37.9673 | − | 27.5849i | 0.622415 | − | 0.452211i | −0.231349 | − | 0.972871i | \(-0.574314\pi\) |
0.853764 | + | 0.520660i | \(0.174314\pi\) | |||||||
\(62\) | −84.1633 | + | 115.841i | −1.35747 | + | 1.86840i | ||||
\(63\) | 19.9821 | − | 27.0523i | 0.317177 | − | 0.429402i | ||||
\(64\) | −64.7481 | + | 47.0422i | −1.01169 | + | 0.735035i | ||||
\(65\) | 1.81077 | − | 9.11108i | 0.0278579 | − | 0.140170i | ||||
\(66\) | 24.0607 | + | 155.885i | 0.364556 | + | 2.36189i | ||||
\(67\) | 21.8690 | + | 67.3058i | 0.326402 | + | 1.00456i | 0.970804 | + | 0.239876i | \(0.0771067\pi\) |
−0.644401 | + | 0.764688i | \(0.722893\pi\) | |||||||
\(68\) | − | 37.0581i | − | 0.544973i | ||||||
\(69\) | −43.5683 | − | 22.4158i | −0.631425 | − | 0.324866i | ||||
\(70\) | 26.6765 | − | 47.6525i | 0.381093 | − | 0.680749i | ||||
\(71\) | −106.383 | − | 34.5661i | −1.49836 | − | 0.486846i | −0.558819 | − | 0.829290i | \(-0.688745\pi\) |
−0.939538 | + | 0.342444i | \(0.888745\pi\) | |||||||
\(72\) | 4.51973 | − | 13.5463i | 0.0627740 | − | 0.188143i | ||||
\(73\) | 67.2494 | − | 48.8596i | 0.921225 | − | 0.669309i | −0.0226036 | − | 0.999745i | \(-0.507196\pi\) |
0.943829 | + | 0.330435i | \(0.107196\pi\) | |||||||
\(74\) | − | 6.98358i | − | 0.0943727i | ||||||
\(75\) | 17.7718 | − | 72.8640i | 0.236958 | − | 0.971520i | ||||
\(76\) | −116.780 | −1.53658 | ||||||||
\(77\) | 39.5114 | + | 54.3828i | 0.513135 | + | 0.706270i | ||||
\(78\) | −7.33851 | − | 14.5440i | −0.0940835 | − | 0.186461i | ||||
\(79\) | −31.0546 | + | 95.5763i | −0.393097 | + | 1.20983i | 0.537337 | + | 0.843367i | \(0.319430\pi\) |
−0.930434 | + | 0.366460i | \(0.880570\pi\) | |||||||
\(80\) | −13.1908 | + | 66.3710i | −0.164885 | + | 0.829637i | ||||
\(81\) | −23.8136 | − | 77.4204i | −0.293995 | − | 0.955807i | ||||
\(82\) | −111.424 | −1.35882 | ||||||||
\(83\) | 21.2982 | − | 6.92021i | 0.256605 | − | 0.0833761i | −0.177890 | − | 0.984050i | \(-0.556927\pi\) |
0.434495 | + | 0.900674i | \(0.356927\pi\) | |||||||
\(84\) | −7.76881 | − | 50.3326i | −0.0924858 | − | 0.599198i | ||||
\(85\) | −27.6912 | − | 29.9464i | −0.325779 | − | 0.352311i | ||||
\(86\) | −4.60719 | − | 6.34125i | −0.0535720 | − | 0.0737355i | ||||
\(87\) | 57.4892 | − | 8.87342i | 0.660795 | − | 0.101993i | ||||
\(88\) | 23.0913 | + | 16.7768i | 0.262401 | + | 0.190645i | ||||
\(89\) | 19.6676 | + | 27.0702i | 0.220985 | + | 0.304159i | 0.905087 | − | 0.425227i | \(-0.139806\pi\) |
−0.684102 | + | 0.729386i | \(0.739806\pi\) | |||||||
\(90\) | −54.1419 | − | 119.866i | −0.601576 | − | 1.33185i | ||||
\(91\) | −5.61668 | − | 4.08076i | −0.0617218 | − | 0.0448435i | ||||
\(92\) | −70.5637 | + | 22.9275i | −0.766997 | + | 0.249212i | ||||
\(93\) | 103.512 | + | 104.331i | 1.11303 | + | 1.12184i | ||||
\(94\) | −72.7950 | − | 224.040i | −0.774414 | − | 2.38340i | ||||
\(95\) | −94.3693 | + | 87.2626i | −0.993361 | + | 0.918553i | ||||
\(96\) | 62.0358 | + | 122.947i | 0.646206 | + | 1.28070i | ||||
\(97\) | 39.1198 | − | 120.398i | 0.403296 | − | 1.24122i | −0.519013 | − | 0.854766i | \(-0.673700\pi\) |
0.922309 | − | 0.386452i | \(-0.126300\pi\) | |||||||
\(98\) | 60.1909 | + | 82.8456i | 0.614193 | + | 0.845364i | ||||
\(99\) | 161.891 | + | 1.27531i | 1.63526 | + | 0.0128819i | ||||
\(100\) | −59.3726 | − | 96.8165i | −0.593726 | − | 0.968165i | ||||
\(101\) | − | 145.308i | − | 1.43869i | −0.694652 | − | 0.719346i | \(-0.744442\pi\) | ||
0.694652 | − | 0.719346i | \(-0.255558\pi\) | |||||||
\(102\) | −70.6028 | − | 11.4676i | −0.692185 | − | 0.112428i | ||||
\(103\) | 11.9653 | − | 36.8255i | 0.116168 | − | 0.357529i | −0.876021 | − | 0.482274i | \(-0.839811\pi\) |
0.992189 | + | 0.124744i | \(0.0398111\pi\) | |||||||
\(104\) | −2.80360 | − | 0.910944i | −0.0269577 | − | 0.00875907i | ||||
\(105\) | −43.8883 | − | 34.8683i | −0.417984 | − | 0.332079i | ||||
\(106\) | 26.7841 | + | 82.4330i | 0.252680 | + | 0.777669i | ||||
\(107\) | − | 48.5513i | − | 0.453751i | −0.973924 | − | 0.226875i | \(-0.927149\pi\) | ||
0.973924 | − | 0.226875i | \(-0.0728510\pi\) | |||||||
\(108\) | −108.623 | − | 56.9728i | −1.00577 | − | 0.527526i | ||||
\(109\) | 109.630 | + | 79.6512i | 1.00578 | + | 0.730745i | 0.963321 | − | 0.268353i | \(-0.0864793\pi\) |
0.0424636 | + | 0.999098i | \(0.486479\pi\) | |||||||
\(110\) | 261.057 | − | 30.9412i | 2.37325 | − | 0.281284i | ||||
\(111\) | −7.07527 | − | 1.14920i | −0.0637412 | − | 0.0103531i | ||||
\(112\) | 40.9155 | + | 29.7269i | 0.365317 | + | 0.265419i | ||||
\(113\) | −55.6217 | + | 76.5568i | −0.492228 | + | 0.677493i | −0.980797 | − | 0.195032i | \(-0.937519\pi\) |
0.488569 | + | 0.872525i | \(0.337519\pi\) | |||||||
\(114\) | −36.1376 | + | 222.489i | −0.316997 | + | 1.95166i | ||||
\(115\) | −39.8897 | + | 71.2554i | −0.346867 | + | 0.619612i | ||||
\(116\) | 51.7757 | − | 71.2632i | 0.446343 | − | 0.614338i | ||||
\(117\) | −15.9425 | + | 5.04155i | −0.136261 | + | 0.0430902i | ||||
\(118\) | −69.0173 | −0.584892 | ||||||||
\(119\) | −28.9915 | + | 9.41990i | −0.243626 | + | 0.0791588i | ||||
\(120\) | −22.2983 | − | 8.32207i | −0.185819 | − | 0.0693505i | ||||
\(121\) | −62.6017 | + | 192.668i | −0.517370 | + | 1.59230i | ||||
\(122\) | −130.455 | − | 42.3874i | −1.06930 | − | 0.347438i | ||||
\(123\) | −18.3355 | + | 112.886i | −0.149069 | + | 0.917776i | ||||
\(124\) | 222.552 | 1.79478 | ||||||||
\(125\) | −120.323 | − | 33.8714i | −0.962588 | − | 0.270971i | ||||
\(126\) | −98.2973 | − | 0.774347i | −0.780137 | − | 0.00614561i | ||||
\(127\) | 57.0175 | − | 41.4256i | 0.448957 | − | 0.326186i | −0.340227 | − | 0.940343i | \(-0.610504\pi\) |
0.789184 | + | 0.614157i | \(0.210504\pi\) | |||||||
\(128\) | 47.8449 | + | 15.5457i | 0.373788 | + | 0.121451i | ||||
\(129\) | −7.18265 | + | 3.62418i | −0.0556795 | + | 0.0280944i | ||||
\(130\) | −24.6550 | + | 11.3710i | −0.189654 | + | 0.0874691i | ||||
\(131\) | 174.107 | − | 56.5707i | 1.32906 | − | 0.431838i | 0.443463 | − | 0.896293i | \(-0.353750\pi\) |
0.885597 | + | 0.464455i | \(0.153750\pi\) | |||||||
\(132\) | 174.034 | − | 172.668i | 1.31844 | − | 1.30809i | ||||
\(133\) | 29.6847 | + | 91.3600i | 0.223193 | + | 0.686917i | ||||
\(134\) | 121.581 | − | 167.342i | 0.907322 | − | 1.24882i | ||||
\(135\) | −130.350 | + | 35.1278i | −0.965553 | + | 0.260206i | ||||
\(136\) | −10.4715 | + | 7.60798i | −0.0769962 | + | 0.0559410i | ||||
\(137\) | −48.7980 | + | 67.1647i | −0.356190 | + | 0.490253i | −0.949082 | − | 0.315028i | \(-0.897986\pi\) |
0.592892 | + | 0.805282i | \(0.297986\pi\) | |||||||
\(138\) | 21.8454 | + | 141.532i | 0.158300 | + | 1.02560i | ||||
\(139\) | 53.0236 | − | 38.5239i | 0.381465 | − | 0.277151i | −0.380484 | − | 0.924787i | \(-0.624243\pi\) |
0.761949 | + | 0.647637i | \(0.224243\pi\) | |||||||
\(140\) | −84.2911 | + | 9.99040i | −0.602079 | + | 0.0713600i | ||||
\(141\) | −238.960 | + | 36.8834i | −1.69475 | + | 0.261584i | ||||
\(142\) | 101.030 | + | 310.939i | 0.711481 | + | 2.18971i | ||||
\(143\) | − | 33.4199i | − | 0.233706i | ||||||
\(144\) | 116.136 | − | 36.7259i | 0.806498 | − | 0.255041i | ||||
\(145\) | −11.4109 | − | 96.2761i | −0.0786958 | − | 0.663973i | ||||
\(146\) | −231.068 | − | 75.0784i | −1.58266 | − | 0.514236i | ||||
\(147\) | 93.8382 | − | 47.3483i | 0.638355 | − | 0.322097i | ||||
\(148\) | −8.78141 | + | 6.38007i | −0.0593338 | + | 0.0431086i | ||||
\(149\) | − | 131.449i | − | 0.882207i | −0.897456 | − | 0.441104i | \(-0.854587\pi\) | ||
0.897456 | − | 0.441104i | \(-0.145413\pi\) | |||||||
\(150\) | −202.827 | + | 83.1562i | −1.35218 | + | 0.554375i | ||||
\(151\) | 158.846 | 1.05196 | 0.525980 | − | 0.850497i | \(-0.323699\pi\) | ||||
0.525980 | + | 0.850497i | \(0.323699\pi\) | |||||||
\(152\) | 23.9748 | + | 32.9985i | 0.157729 | + | 0.217095i | ||||
\(153\) | −23.2364 | + | 69.6427i | −0.151872 | + | 0.455181i | ||||
\(154\) | 60.7139 | − | 186.858i | 0.394246 | − | 1.21336i | ||||
\(155\) | 179.843 | − | 166.299i | 1.16028 | − | 1.07290i | ||||
\(156\) | −11.5838 | + | 22.5148i | −0.0742551 | + | 0.144326i | ||||
\(157\) | 22.4038 | 0.142700 | 0.0713498 | − | 0.997451i | \(-0.477269\pi\) | ||||
0.0713498 | + | 0.997451i | \(0.477269\pi\) | |||||||
\(158\) | 279.352 | − | 90.7671i | 1.76805 | − | 0.574475i | ||||
\(159\) | 87.9228 | − | 13.5708i | 0.552973 | − | 0.0853511i | ||||
\(160\) | 208.420 | − | 96.1241i | 1.30263 | − | 0.600776i | ||||
\(161\) | 35.8735 | + | 49.3756i | 0.222817 | + | 0.306681i | ||||
\(162\) | −142.157 | + | 189.317i | −0.877515 | + | 1.16863i | ||||
\(163\) | −248.679 | − | 180.676i | −1.52564 | − | 1.10844i | −0.958601 | − | 0.284752i | \(-0.908089\pi\) |
−0.567039 | − | 0.823691i | \(-0.691911\pi\) | |||||||
\(164\) | 101.794 | + | 140.108i | 0.620698 | + | 0.854317i | ||||
\(165\) | 11.6114 | − | 269.576i | 0.0703719 | − | 1.63380i | ||||
\(166\) | −52.9537 | − | 38.4731i | −0.318998 | − | 0.231766i | ||||
\(167\) | −47.5910 | + | 15.4632i | −0.284976 | + | 0.0925943i | −0.448017 | − | 0.894025i | \(-0.647870\pi\) |
0.163041 | + | 0.986619i | \(0.447870\pi\) | |||||||
\(168\) | −12.6275 | + | 12.5284i | −0.0751638 | + | 0.0745740i | ||||
\(169\) | −51.1573 | − | 157.446i | −0.302706 | − | 0.931632i | ||||
\(170\) | −23.2384 | + | 116.927i | −0.136696 | + | 0.687803i | ||||
\(171\) | 219.463 | + | 73.2242i | 1.28341 | + | 0.428211i | ||||
\(172\) | −3.76468 | + | 11.5865i | −0.0218877 | + | 0.0673633i | ||||
\(173\) | 17.3272 | + | 23.8488i | 0.100157 | + | 0.137854i | 0.856154 | − | 0.516721i | \(-0.172848\pi\) |
−0.755997 | + | 0.654575i | \(0.772848\pi\) | |||||||
\(174\) | −119.748 | − | 120.695i | −0.688207 | − | 0.693650i | ||||
\(175\) | −60.6498 | + | 71.0586i | −0.346570 | + | 0.406049i | ||||
\(176\) | 243.452i | 1.38325i | ||||||||
\(177\) | −11.3573 | + | 69.9235i | −0.0641655 | + | 0.395048i | ||||
\(178\) | 30.2216 | − | 93.0126i | 0.169784 | − | 0.522542i | ||||
\(179\) | −70.6018 | − | 22.9399i | −0.394424 | − | 0.128156i | 0.105089 | − | 0.994463i | \(-0.466487\pi\) |
−0.499512 | + | 0.866307i | \(0.666487\pi\) | |||||||
\(180\) | −101.261 | + | 177.588i | −0.562564 | + | 0.986598i | ||||
\(181\) | 22.1584 | + | 68.1965i | 0.122422 | + | 0.376776i | 0.993423 | − | 0.114506i | \(-0.0365285\pi\) |
−0.871001 | + | 0.491282i | \(0.836528\pi\) | |||||||
\(182\) | 20.2920i | 0.111494i | ||||||||
\(183\) | −64.4112 | + | 125.193i | −0.351974 | + | 0.684113i | ||||
\(184\) | 20.9652 | + | 15.2321i | 0.113941 | + | 0.0827833i | ||||
\(185\) | −2.32877 | + | 11.7175i | −0.0125880 | + | 0.0633377i | ||||
\(186\) | 68.8687 | − | 424.005i | 0.370262 | − | 2.27959i | ||||
\(187\) | −118.715 | − | 86.2512i | −0.634838 | − | 0.461236i | ||||
\(188\) | −215.212 | + | 296.214i | −1.14474 | + | 1.57560i | ||||
\(189\) | −16.9600 | + | 99.4604i | −0.0897356 | + | 0.526246i | ||||
\(190\) | 368.467 | + | 73.2304i | 1.93930 | + | 0.385423i | ||||
\(191\) | 16.8724 | − | 23.2229i | 0.0883374 | − | 0.121586i | −0.762561 | − | 0.646916i | \(-0.776058\pi\) |
0.850898 | + | 0.525330i | \(0.176058\pi\) | |||||||
\(192\) | 109.844 | − | 213.499i | 0.572106 | − | 1.11197i | ||||
\(193\) | 105.047 | 0.544287 | 0.272143 | − | 0.962257i | \(-0.412268\pi\) | ||||
0.272143 | + | 0.962257i | \(0.412268\pi\) | |||||||
\(194\) | −351.902 | + | 114.340i | −1.81393 | + | 0.589381i | ||||
\(195\) | 7.46312 | + | 26.8499i | 0.0382724 | + | 0.137692i | ||||
\(196\) | 49.1839 | − | 151.372i | 0.250938 | − | 0.772308i | ||||
\(197\) | −163.343 | − | 53.0734i | −0.829153 | − | 0.269408i | −0.136464 | − | 0.990645i | \(-0.543574\pi\) |
−0.692688 | + | 0.721237i | \(0.743574\pi\) | |||||||
\(198\) | −275.111 | − | 385.000i | −1.38945 | − | 1.94444i | ||||
\(199\) | −325.375 | −1.63505 | −0.817526 | − | 0.575892i | \(-0.804655\pi\) | ||||
−0.817526 | + | 0.575892i | \(0.804655\pi\) | |||||||
\(200\) | −15.1683 | + | 36.6531i | −0.0758413 | + | 0.183266i | ||||
\(201\) | −149.532 | − | 150.715i | −0.743941 | − | 0.749825i | ||||
\(202\) | −343.596 | + | 249.637i | −1.70097 | + | 1.23583i | ||||
\(203\) | −68.9119 | − | 22.3908i | −0.339468 | − | 0.110300i | ||||
\(204\) | 50.0816 | + | 99.2552i | 0.245498 | + | 0.486545i | ||||
\(205\) | 186.953 | + | 37.1557i | 0.911967 | + | 0.181247i | ||||
\(206\) | −107.634 | + | 34.9725i | −0.522497 | + | 0.169769i | ||||
\(207\) | 146.985 | + | 1.15789i | 0.710074 | + | 0.00559368i | ||||
\(208\) | −7.76988 | − | 23.9132i | −0.0373552 | − | 0.114967i | ||||
\(209\) | −271.801 | + | 374.102i | −1.30048 | + | 1.78996i | ||||
\(210\) | −7.05022 | + | 163.682i | −0.0335725 | + | 0.779438i | ||||
\(211\) | −155.958 | + | 113.310i | −0.739139 | + | 0.537016i | −0.892441 | − | 0.451163i | \(-0.851009\pi\) |
0.153302 | + | 0.988179i | \(0.451009\pi\) | |||||||
\(212\) | 79.1848 | − | 108.988i | 0.373513 | − | 0.514097i | ||||
\(213\) | 331.647 | − | 51.1895i | 1.55703 | − | 0.240326i | ||||
\(214\) | −114.805 | + | 83.4107i | −0.536472 | + | 0.389770i | ||||
\(215\) | 5.61565 | + | 12.1761i | 0.0261193 | + | 0.0566329i | ||||
\(216\) | 6.20139 | + | 42.3899i | 0.0287101 | + | 0.196250i | ||||
\(217\) | −56.5711 | − | 174.108i | −0.260696 | − | 0.802341i | ||||
\(218\) | − | 396.073i | − | 1.81685i | ||||||
\(219\) | −114.088 | + | 221.747i | −0.520950 | + | 1.01254i | ||||
\(220\) | −277.404 | − | 299.996i | −1.26093 | − | 1.36362i | ||||
\(221\) | 14.4136 | + | 4.68325i | 0.0652198 | + | 0.0211912i | ||||
\(222\) | 9.43784 | + | 18.7046i | 0.0425128 | + | 0.0842548i | ||||
\(223\) | 80.6765 | − | 58.6149i | 0.361778 | − | 0.262847i | −0.392015 | − | 0.919959i | \(-0.628222\pi\) |
0.753793 | + | 0.657112i | \(0.228222\pi\) | |||||||
\(224\) | − | 171.537i | − | 0.765791i | ||||||
\(225\) | 50.8714 | + | 219.174i | 0.226095 | + | 0.974105i | ||||
\(226\) | 276.584 | 1.22382 | ||||||||
\(227\) | 178.116 | + | 245.155i | 0.784651 | + | 1.07998i | 0.994754 | + | 0.102301i | \(0.0326203\pi\) |
−0.210102 | + | 0.977679i | \(0.567380\pi\) | |||||||
\(228\) | 312.780 | − | 157.821i | 1.37184 | − | 0.692196i | ||||
\(229\) | 16.2049 | − | 49.8735i | 0.0707637 | − | 0.217788i | −0.909420 | − | 0.415879i | \(-0.863474\pi\) |
0.980184 | + | 0.198091i | \(0.0634740\pi\) | |||||||
\(230\) | 237.021 | − | 28.0924i | 1.03053 | − | 0.122141i | ||||
\(231\) | −179.321 | − | 92.2598i | −0.776279 | − | 0.399393i | ||||
\(232\) | −30.7663 | −0.132613 | ||||||||
\(233\) | 122.086 | − | 39.6683i | 0.523976 | − | 0.170250i | −0.0350728 | − | 0.999385i | \(-0.511166\pi\) |
0.559049 | + | 0.829135i | \(0.311166\pi\) | |||||||
\(234\) | 39.3104 | + | 29.0365i | 0.167993 | + | 0.124088i | ||||
\(235\) | 47.4307 | + | 400.182i | 0.201833 | + | 1.70290i | ||||
\(236\) | 63.0529 | + | 86.7849i | 0.267173 | + | 0.367733i | ||||
\(237\) | −45.9894 | − | 297.956i | −0.194048 | − | 1.25720i | ||||
\(238\) | 72.0814 | + | 52.3702i | 0.302863 | + | 0.220043i | ||||
\(239\) | 135.680 | + | 186.748i | 0.567700 | + | 0.781372i | 0.992280 | − | 0.124018i | \(-0.0395782\pi\) |
−0.424580 | + | 0.905390i | \(0.639578\pi\) | |||||||
\(240\) | −54.3662 | − | 195.592i | −0.226526 | − | 0.814967i | ||||
\(241\) | 55.8068 | + | 40.5460i | 0.231563 | + | 0.168241i | 0.697516 | − | 0.716569i | \(-0.254288\pi\) |
−0.465953 | + | 0.884809i | \(0.654288\pi\) | |||||||
\(242\) | 563.135 | − | 182.974i | 2.32700 | − | 0.756089i | ||||
\(243\) | 168.410 | + | 175.177i | 0.693045 | + | 0.720894i | ||||
\(244\) | 65.8817 | + | 202.763i | 0.270007 | + | 0.830997i | ||||
\(245\) | −73.3659 | − | 159.075i | −0.299453 | − | 0.649286i | ||||
\(246\) | 298.433 | − | 150.581i | 1.21314 | − | 0.612120i | ||||
\(247\) | 14.7582 | − | 45.4211i | 0.0597498 | − | 0.183891i | ||||
\(248\) | −45.6897 | − | 62.8864i | −0.184232 | − | 0.253574i | ||||
\(249\) | −47.6922 | + | 47.3180i | −0.191535 | + | 0.190032i | ||||
\(250\) | 126.622 | + | 342.709i | 0.506487 | + | 1.37083i | ||||
\(251\) | 106.372i | 0.423791i | 0.977292 | + | 0.211896i | \(0.0679637\pi\) | ||||
−0.977292 | + | 0.211896i | \(0.932036\pi\) | |||||||
\(252\) | 88.8288 | + | 124.310i | 0.352495 | + | 0.493294i | ||||
\(253\) | −90.7863 | + | 279.411i | −0.358839 | + | 1.10439i | ||||
\(254\) | −195.911 | − | 63.6553i | −0.771303 | − | 0.250612i | ||||
\(255\) | 114.638 | + | 42.7846i | 0.449560 | + | 0.167783i | ||||
\(256\) | 53.4889 | + | 164.622i | 0.208941 | + | 0.643054i | ||||
\(257\) | 9.10981i | 0.0354468i | 0.999843 | + | 0.0177234i | \(0.00564182\pi\) | ||||
−0.999843 | + | 0.0177234i | \(0.994358\pi\) | |||||||
\(258\) | 20.9095 | + | 10.7579i | 0.0810446 | + | 0.0416972i | ||||
\(259\) | 7.22345 | + | 5.24814i | 0.0278898 | + | 0.0202631i | ||||
\(260\) | 36.8227 | + | 20.6138i | 0.141626 | + | 0.0792839i | ||||
\(261\) | −141.985 | + | 101.459i | −0.544004 | + | 0.388732i | ||||
\(262\) | −432.881 | − | 314.507i | −1.65222 | − | 1.20041i | ||||
\(263\) | 176.024 | − | 242.276i | 0.669292 | − | 0.921202i | −0.330452 | − | 0.943823i | \(-0.607201\pi\) |
0.999744 | + | 0.0226210i | \(0.00720110\pi\) | |||||||
\(264\) | −84.5196 | − | 13.7280i | −0.320150 | − | 0.0520002i | ||||
\(265\) | −17.4516 | − | 147.243i | −0.0658551 | − | 0.555633i | ||||
\(266\) | 165.033 | − | 227.148i | 0.620424 | − | 0.853941i | ||||
\(267\) | −89.2606 | − | 45.9243i | −0.334309 | − | 0.172001i | ||||
\(268\) | −321.496 | −1.19961 | ||||||||
\(269\) | 354.526 | − | 115.192i | 1.31794 | − | 0.428224i | 0.436152 | − | 0.899873i | \(-0.356341\pi\) |
0.881787 | + | 0.471649i | \(0.156341\pi\) | |||||||
\(270\) | 307.003 | + | 247.877i | 1.13705 | + | 0.918062i | ||||
\(271\) | 117.464 | − | 361.516i | 0.433445 | − | 1.33401i | −0.461227 | − | 0.887282i | \(-0.652591\pi\) |
0.894672 | − | 0.446724i | \(-0.147409\pi\) | |||||||
\(272\) | −104.998 | − | 34.1158i | −0.386021 | − | 0.125426i | ||||
\(273\) | 20.5584 | + | 3.33919i | 0.0753055 | + | 0.0122315i | ||||
\(274\) | 242.653 | 0.885594 | ||||||||
\(275\) | −448.336 | − | 35.1381i | −1.63031 | − | 0.127775i | ||||
\(276\) | 158.010 | − | 156.770i | 0.572501 | − | 0.568008i | ||||
\(277\) | 189.327 | − | 137.554i | 0.683489 | − | 0.496584i | −0.191024 | − | 0.981585i | \(-0.561181\pi\) |
0.874513 | + | 0.485001i | \(0.161181\pi\) | |||||||
\(278\) | −182.188 | − | 59.1965i | −0.655353 | − | 0.212937i | ||||
\(279\) | −418.239 | − | 139.546i | −1.49906 | − | 0.500165i | ||||
\(280\) | 20.1278 | + | 21.7670i | 0.0718850 | + | 0.0777394i | ||||
\(281\) | −195.778 | + | 63.6122i | −0.696719 | + | 0.226378i | −0.635901 | − | 0.771771i | \(-0.719371\pi\) |
−0.0608187 | + | 0.998149i | \(0.519371\pi\) | |||||||
\(282\) | 497.746 | + | 501.683i | 1.76506 | + | 1.77902i | ||||
\(283\) | −106.464 | − | 327.662i | −0.376198 | − | 1.15782i | −0.942667 | − | 0.333734i | \(-0.891691\pi\) |
0.566470 | − | 0.824083i | \(-0.308309\pi\) | |||||||
\(284\) | 298.687 | − | 411.107i | 1.05171 | − | 1.44756i | ||||
\(285\) | 134.826 | − | 361.255i | 0.473073 | − | 1.26756i | ||||
\(286\) | −79.0250 | + | 57.4150i | −0.276311 | + | 0.200752i | ||||
\(287\) | 83.7345 | − | 115.251i | 0.291758 | − | 0.401570i | ||||
\(288\) | −332.309 | − | 245.459i | −1.15385 | − | 0.852289i | ||||
\(289\) | −179.971 | + | 130.757i | −0.622737 | + | 0.452445i | ||||
\(290\) | −208.052 | + | 192.384i | −0.717419 | + | 0.663392i | ||||
\(291\) | 57.9332 | + | 375.338i | 0.199083 | + | 1.28982i | ||||
\(292\) | 116.693 | + | 359.143i | 0.399632 | + | 1.22994i | ||||
\(293\) | 268.106i | 0.915037i | 0.889200 | + | 0.457518i | \(0.151262\pi\) | ||||
−0.889200 | + | 0.457518i | \(0.848738\pi\) | |||||||
\(294\) | −273.173 | − | 140.547i | −0.929161 | − | 0.478050i | ||||
\(295\) | 115.801 | + | 23.0148i | 0.392547 | + | 0.0780162i | ||||
\(296\) | 3.60562 | + | 1.17154i | 0.0121811 | + | 0.00395789i | ||||
\(297\) | −435.326 | + | 215.369i | −1.46574 | + | 0.725147i | ||||
\(298\) | −310.825 | + | 225.828i | −1.04304 | + | 0.757812i | ||||
\(299\) | − | 30.3429i | − | 0.101481i | ||||||
\(300\) | 289.862 | + | 179.072i | 0.966208 | + | 0.596906i | ||||
\(301\) | 10.0213 | 0.0332935 | ||||||||
\(302\) | −272.896 | − | 375.609i | −0.903628 | − | 1.24374i | ||||
\(303\) | 196.374 | + | 389.187i | 0.648098 | + | 1.28445i | ||||
\(304\) | −107.508 | + | 330.876i | −0.353646 | + | 1.08841i | ||||
\(305\) | 204.751 | + | 114.622i | 0.671314 | + | 0.375810i | ||||
\(306\) | 204.598 | − | 64.7005i | 0.668620 | − | 0.211440i | ||||
\(307\) | 162.259 | 0.528531 | 0.264265 | − | 0.964450i | \(-0.414871\pi\) | ||||
0.264265 | + | 0.964450i | \(0.414871\pi\) | |||||||
\(308\) | −290.429 | + | 94.3662i | −0.942952 | + | 0.306384i | ||||
\(309\) | 17.7197 | + | 114.802i | 0.0573453 | + | 0.371529i | ||||
\(310\) | −702.202 | − | 139.558i | −2.26517 | − | 0.450187i | ||||
\(311\) | 242.064 | + | 333.172i | 0.778340 | + | 1.07129i | 0.995463 | + | 0.0951488i | \(0.0303327\pi\) |
−0.217123 | + | 0.976144i | \(0.569667\pi\) | |||||||
\(312\) | 8.74013 | − | 1.34903i | 0.0280132 | − | 0.00432383i | ||||
\(313\) | 146.747 | + | 106.618i | 0.468840 | + | 0.340632i | 0.796989 | − | 0.603994i | \(-0.206425\pi\) |
−0.328149 | + | 0.944626i | \(0.606425\pi\) | |||||||
\(314\) | −38.4896 | − | 52.9764i | −0.122578 | − | 0.168715i | ||||
\(315\) | 164.671 | + | 34.0778i | 0.522765 | + | 0.108184i | ||||
\(316\) | −369.345 | − | 268.345i | −1.16881 | − | 0.849192i | ||||
\(317\) | 71.0340 | − | 23.0803i | 0.224082 | − | 0.0728086i | −0.194824 | − | 0.980838i | \(-0.562414\pi\) |
0.418906 | + | 0.908030i | \(0.362414\pi\) | |||||||
\(318\) | −183.140 | − | 184.589i | −0.575912 | − | 0.580467i | ||||
\(319\) | −107.784 | − | 331.724i | −0.337880 | − | 1.03989i | ||||
\(320\) | −349.174 | − | 195.472i | −1.09117 | − | 0.610851i | ||||
\(321\) | 65.6139 | + | 130.038i | 0.204405 | + | 0.405103i | ||||
\(322\) | 55.1238 | − | 169.654i | 0.171192 | − | 0.526875i | ||||
\(323\) | −123.257 | − | 169.649i | −0.381600 | − | 0.525228i | ||||
\(324\) | 367.927 | + | 5.79712i | 1.13558 | + | 0.0178924i | ||||
\(325\) | 45.1595 | − | 10.8574i | 0.138952 | − | 0.0334073i | ||||
\(326\) | 898.430i | 2.75592i | ||||||||
\(327\) | −401.274 | − | 65.1767i | −1.22714 | − | 0.199317i | ||||
\(328\) | 18.6920 | − | 57.5279i | 0.0569877 | − | 0.175390i | ||||
\(329\) | 286.440 | + | 93.0700i | 0.870639 | + | 0.282888i | ||||
\(330\) | −657.391 | + | 435.673i | −1.99209 | + | 1.32022i | ||||
\(331\) | −18.2738 | − | 56.2410i | −0.0552078 | − | 0.169912i | 0.919651 | − | 0.392738i | \(-0.128472\pi\) |
−0.974858 | + | 0.222825i | \(0.928472\pi\) | |||||||
\(332\) | 101.734i | 0.306429i | ||||||||
\(333\) | 20.5032 | − | 6.48379i | 0.0615712 | − | 0.0194708i | ||||
\(334\) | 118.325 | + | 85.9684i | 0.354267 | + | 0.257390i | ||||
\(335\) | −259.799 | + | 240.234i | −0.775519 | + | 0.717117i | ||||
\(336\) | −149.761 | − | 24.3248i | −0.445716 | − | 0.0723952i | ||||
\(337\) | 331.528 | + | 240.869i | 0.983762 | + | 0.714745i | 0.958546 | − | 0.284937i | \(-0.0919728\pi\) |
0.0252156 | + | 0.999682i | \(0.491973\pi\) | |||||||
\(338\) | −284.410 | + | 391.457i | −0.841451 | + | 1.15816i | ||||
\(339\) | 45.5139 | − | 280.216i | 0.134259 | − | 0.826595i | ||||
\(340\) | 168.258 | − | 77.6011i | 0.494876 | − | 0.228239i | ||||
\(341\) | 517.981 | − | 712.940i | 1.51901 | − | 2.09073i | ||||
\(342\) | −203.889 | − | 644.743i | −0.596166 | − | 1.88521i | ||||
\(343\) | −314.032 | −0.915545 | ||||||||
\(344\) | 4.04687 | − | 1.31491i | 0.0117642 | − | 0.00382240i | ||||
\(345\) | 10.5423 | − | 244.756i | 0.0305574 | − | 0.709438i | ||||
\(346\) | 26.6252 | − | 81.9440i | 0.0769515 | − | 0.236832i | ||||
\(347\) | −63.7194 | − | 20.7037i | −0.183629 | − | 0.0596648i | 0.215759 | − | 0.976447i | \(-0.430777\pi\) |
−0.399388 | + | 0.916782i | \(0.630777\pi\) | |||||||
\(348\) | −42.3668 | + | 260.840i | −0.121744 | + | 0.749541i | ||||
\(349\) | 280.482 | 0.803673 | 0.401837 | − | 0.915711i | \(-0.368372\pi\) | ||||
0.401837 | + | 0.915711i | \(0.368372\pi\) | |||||||
\(350\) | 272.222 | + | 21.3352i | 0.777776 | + | 0.0609578i | ||||
\(351\) | 35.8866 | − | 35.0484i | 0.102241 | − | 0.0998529i | ||||
\(352\) | 668.034 | − | 485.355i | 1.89782 | − | 1.37885i | ||||
\(353\) | −440.762 | − | 143.212i | −1.24862 | − | 0.405701i | −0.391193 | − | 0.920309i | \(-0.627937\pi\) |
−0.857425 | + | 0.514608i | \(0.827937\pi\) | |||||||
\(354\) | 184.853 | − | 93.2723i | 0.522185 | − | 0.263481i | ||||
\(355\) | −65.8279 | − | 555.403i | −0.185431 | − | 1.56452i | ||||
\(356\) | −144.567 | + | 46.9728i | −0.406088 | + | 0.131946i | ||||
\(357\) | 64.9193 | − | 64.4099i | 0.181847 | − | 0.180420i | ||||
\(358\) | 67.0493 | + | 206.356i | 0.187288 | + | 0.576414i | ||||
\(359\) | 178.304 | − | 245.415i | 0.496669 | − | 0.683607i | −0.484931 | − | 0.874552i | \(-0.661155\pi\) |
0.981601 | + | 0.190945i | \(0.0611554\pi\) | |||||||
\(360\) | 70.9696 | − | 7.84511i | 0.197138 | − | 0.0217920i | ||||
\(361\) | −242.554 | + | 176.226i | −0.671894 | + | 0.488160i | ||||
\(362\) | 123.190 | − | 169.557i | 0.340304 | − | 0.468389i | ||||
\(363\) | −92.7081 | − | 600.638i | −0.255394 | − | 1.65465i | ||||
\(364\) | 25.5159 | − | 18.5384i | 0.0700985 | − | 0.0509296i | ||||
\(365\) | 362.664 | + | 203.024i | 0.993599 | + | 0.556230i | ||||
\(366\) | 406.690 | − | 62.7723i | 1.11117 | − | 0.171509i | ||||
\(367\) | −84.3411 | − | 259.575i | −0.229812 | − | 0.707290i | −0.997767 | − | 0.0667858i | \(-0.978726\pi\) |
0.767955 | − | 0.640504i | \(-0.221274\pi\) | |||||||
\(368\) | 221.037i | 0.600644i | ||||||||
\(369\) | −103.449 | − | 327.130i | −0.280350 | − | 0.886532i | ||||
\(370\) | 31.7081 | − | 14.6239i | 0.0856975 | − | 0.0395240i | ||||
\(371\) | −105.392 | − | 34.2441i | −0.284077 | − | 0.0923021i | ||||
\(372\) | −596.076 | + | 300.765i | −1.60235 | + | 0.808507i | ||||
\(373\) | 483.662 | − | 351.401i | 1.29668 | − | 0.942093i | 0.296762 | − | 0.954951i | \(-0.404093\pi\) |
0.999917 | + | 0.0128583i | \(0.00409304\pi\) | |||||||
\(374\) | 428.892i | 1.14677i | ||||||||
\(375\) | 368.045 | − | 71.8892i | 0.981453 | − | 0.191705i | ||||
\(376\) | 127.883 | 0.340116 | ||||||||
\(377\) | 21.1742 | + | 29.1439i | 0.0561651 | + | 0.0773046i | ||||
\(378\) | 264.322 | − | 130.768i | 0.699265 | − | 0.345947i | ||||
\(379\) | −85.8643 | + | 264.263i | −0.226555 | + | 0.697264i | 0.771575 | + | 0.636138i | \(0.219469\pi\) |
−0.998130 | + | 0.0611259i | \(0.980531\pi\) | |||||||
\(380\) | −244.542 | − | 530.226i | −0.643532 | − | 1.39533i | ||||
\(381\) | −96.7296 | + | 188.008i | −0.253883 | + | 0.493460i | ||||
\(382\) | −83.8998 | −0.219633 | ||||||||
\(383\) | −159.562 | + | 51.8447i | −0.416610 | + | 0.135365i | −0.509819 | − | 0.860282i | \(-0.670288\pi\) |
0.0932088 | + | 0.995647i | \(0.470288\pi\) | |||||||
\(384\) | −149.155 | + | 23.0220i | −0.388424 | + | 0.0599531i | ||||
\(385\) | −164.180 | + | 293.276i | −0.426441 | + | 0.761756i | ||||
\(386\) | −180.470 | − | 248.396i | −0.467539 | − | 0.643513i | ||||
\(387\) | 14.3399 | − | 19.4137i | 0.0370541 | − | 0.0501647i | ||||
\(388\) | 465.266 | + | 338.036i | 1.19914 | + | 0.871226i | ||||
\(389\) | 20.4005 | + | 28.0788i | 0.0524434 | + | 0.0721821i | 0.834433 | − | 0.551109i | \(-0.185795\pi\) |
−0.781990 | + | 0.623291i | \(0.785795\pi\) | |||||||
\(390\) | 50.6680 | − | 63.7752i | 0.129918 | − | 0.163526i | ||||
\(391\) | −107.784 | − | 78.3099i | −0.275663 | − | 0.200281i | ||||
\(392\) | −52.8705 | + | 17.1787i | −0.134874 | + | 0.0438232i | ||||
\(393\) | −389.870 | + | 386.811i | −0.992035 | + | 0.984251i | ||||
\(394\) | 155.124 | + | 477.422i | 0.393716 | + | 1.21173i | ||||
\(395\) | −498.982 | + | 59.1407i | −1.26325 | + | 0.149723i | ||||
\(396\) | −232.776 | + | 697.663i | −0.587819 | + | 1.76178i | ||||
\(397\) | −125.322 | + | 385.702i | −0.315673 | + | 0.971540i | 0.659804 | + | 0.751438i | \(0.270639\pi\) |
−0.975477 | + | 0.220103i | \(0.929361\pi\) | |||||||
\(398\) | 558.991 | + | 769.386i | 1.40450 | + | 1.93313i | ||||
\(399\) | −202.973 | − | 204.578i | −0.508705 | − | 0.512728i | ||||
\(400\) | −328.971 | + | 79.0921i | −0.822428 | + | 0.197730i | ||||
\(401\) | − | 57.0380i | − | 0.142239i | −0.997468 | − | 0.0711197i | \(-0.977343\pi\) | ||
0.997468 | − | 0.0711197i | \(-0.0226572\pi\) | |||||||
\(402\) | −99.4869 | + | 612.512i | −0.247480 | + | 1.52366i | ||||
\(403\) | −28.1252 | + | 86.5606i | −0.0697897 | + | 0.214790i | ||||
\(404\) | 627.806 | + | 203.987i | 1.55398 | + | 0.504917i | ||||
\(405\) | 301.651 | − | 270.244i | 0.744817 | − | 0.667269i | ||||
\(406\) | 65.4444 | + | 201.417i | 0.161193 | + | 0.496101i | ||||
\(407\) | 42.9803i | 0.105603i | ||||||||
\(408\) | 17.7648 | − | 34.5284i | 0.0435411 | − | 0.0846285i | ||||
\(409\) | −56.2610 | − | 40.8760i | −0.137557 | − | 0.0999413i | 0.516879 | − | 0.856059i | \(-0.327094\pi\) |
−0.654436 | + | 0.756117i | \(0.727094\pi\) | |||||||
\(410\) | −233.325 | − | 505.905i | −0.569085 | − | 1.23391i | ||||
\(411\) | 39.9302 | − | 245.839i | 0.0971538 | − | 0.598148i | ||||
\(412\) | 142.308 | + | 103.393i | 0.345409 | + | 0.250954i | ||||
\(413\) | 51.8663 | − | 71.3878i | 0.125584 | − | 0.172852i | ||||
\(414\) | −249.781 | − | 349.552i | −0.603336 | − | 0.844329i | ||||
\(415\) | 76.0196 | + | 82.2108i | 0.183180 | + | 0.198098i | ||||
\(416\) | −50.1278 | + | 68.9950i | −0.120499 | + | 0.165853i | ||||
\(417\) | −89.9541 | + | 174.839i | −0.215717 | + | 0.419278i | ||||
\(418\) | 1351.56 | 3.23339 | ||||||||
\(419\) | 195.288 | − | 63.4531i | 0.466082 | − | 0.151439i | −0.0665554 | − | 0.997783i | \(-0.521201\pi\) |
0.532638 | + | 0.846343i | \(0.321201\pi\) | |||||||
\(420\) | 212.261 | − | 140.672i | 0.505383 | − | 0.334932i | ||||
\(421\) | 83.5309 | − | 257.082i | 0.198411 | − | 0.610646i | −0.801509 | − | 0.597983i | \(-0.795969\pi\) |
0.999920 | − | 0.0126629i | \(-0.00403084\pi\) | |||||||
\(422\) | 535.870 | + | 174.115i | 1.26983 | + | 0.412594i | ||||
\(423\) | 590.177 | − | 421.726i | 1.39522 | − | 0.996988i | ||||
\(424\) | −47.0533 | −0.110975 | ||||||||
\(425\) | 77.9816 | − | 188.437i | 0.183486 | − | 0.443382i | ||||
\(426\) | −690.809 | − | 696.273i | −1.62162 | − | 1.63444i | ||||
\(427\) | 141.880 | − | 103.082i | 0.332271 | − | 0.241409i | ||||
\(428\) | 209.767 | + | 68.1575i | 0.490110 | + | 0.159247i | ||||
\(429\) | 45.1647 | + | 89.5106i | 0.105279 | + | 0.208649i | ||||
\(430\) | 19.1440 | − | 34.1972i | 0.0445210 | − | 0.0795283i | ||||
\(431\) | −374.177 | + | 121.577i | −0.868160 | + | 0.282082i | −0.709033 | − | 0.705176i | \(-0.750868\pi\) |
−0.159128 | + | 0.987258i | \(0.550868\pi\) | |||||||
\(432\) | −261.421 | + | 255.315i | −0.605141 | + | 0.591007i | ||||
\(433\) | −49.0981 | − | 151.108i | −0.113390 | − | 0.348980i | 0.878217 | − | 0.478261i | \(-0.158733\pi\) |
−0.991608 | + | 0.129282i | \(0.958733\pi\) | |||||||
\(434\) | −314.509 | + | 432.884i | −0.724675 | + | 0.997430i | ||||
\(435\) | 160.673 | + | 242.441i | 0.369364 | + | 0.557336i | ||||
\(436\) | −498.037 | + | 361.845i | −1.14229 | + | 0.829920i | ||||
\(437\) | −246.776 | + | 339.658i | −0.564704 | + | 0.777249i | ||||
\(438\) | 720.347 | − | 111.185i | 1.64463 | − | 0.253847i | ||||
\(439\) | −5.91770 | + | 4.29946i | −0.0134800 | + | 0.00979376i | −0.594505 | − | 0.804092i | \(-0.702652\pi\) |
0.581025 | + | 0.813886i | \(0.302652\pi\) | |||||||
\(440\) | −27.8190 | + | 139.974i | −0.0632249 | + | 0.318123i | ||||
\(441\) | −187.345 | + | 253.632i | −0.424818 | + | 0.575129i | ||||
\(442\) | −13.6883 | − | 42.1283i | −0.0309690 | − | 0.0953128i | ||||
\(443\) | − | 428.761i | − | 0.967858i | −0.875107 | − | 0.483929i | \(-0.839209\pi\) | ||
0.875107 | − | 0.483929i | \(-0.160791\pi\) | |||||||
\(444\) | 14.8976 | − | 28.9556i | 0.0335531 | − | 0.0652154i | ||||
\(445\) | −81.7240 | + | 145.984i | −0.183649 | + | 0.328055i | ||||
\(446\) | −277.203 | − | 90.0687i | −0.621531 | − | 0.201948i | ||||
\(447\) | 177.644 | + | 352.068i | 0.397415 | + | 0.787624i | ||||
\(448\) | −241.956 | + | 175.792i | −0.540081 | + | 0.392392i | ||||
\(449\) | − | 67.0605i | − | 0.149355i | −0.997208 | − | 0.0746777i | \(-0.976207\pi\) | ||
0.997208 | − | 0.0746777i | \(-0.0237928\pi\) | |||||||
\(450\) | 430.864 | − | 496.829i | 0.957475 | − | 1.10406i | ||||
\(451\) | 685.754 | 1.52052 | ||||||||
\(452\) | −252.682 | − | 347.787i | −0.559032 | − | 0.769441i | ||||
\(453\) | −425.447 | + | 214.670i | −0.939177 | + | 0.473884i | ||||
\(454\) | 273.696 | − | 842.349i | 0.602854 | − | 1.85539i | ||||
\(455\) | 6.76664 | − | 34.0471i | 0.0148717 | − | 0.0748288i | ||||
\(456\) | −108.808 | − | 55.9816i | −0.238615 | − | 0.122767i | ||||
\(457\) | −576.741 | −1.26202 | −0.631008 | − | 0.775776i | \(-0.717358\pi\) | ||||
−0.631008 | + | 0.775776i | \(0.717358\pi\) | |||||||
\(458\) | −145.771 | + | 47.3639i | −0.318278 | + | 0.103415i | ||||
\(459\) | −31.8820 | − | 217.931i | −0.0694596 | − | 0.474795i | ||||
\(460\) | −251.863 | − | 272.375i | −0.547527 | − | 0.592119i | ||||
\(461\) | 10.1877 | + | 14.0221i | 0.0220991 | + | 0.0304167i | 0.819924 | − | 0.572473i | \(-0.194016\pi\) |
−0.797825 | + | 0.602890i | \(0.794016\pi\) | |||||||
\(462\) | 89.9123 | + | 582.524i | 0.194615 | + | 1.26088i | ||||
\(463\) | 299.134 | + | 217.333i | 0.646077 | + | 0.469403i | 0.861933 | − | 0.507023i | \(-0.169254\pi\) |
−0.215855 | + | 0.976425i | \(0.569254\pi\) | |||||||
\(464\) | −154.247 | − | 212.303i | −0.332429 | − | 0.457549i | ||||
\(465\) | −256.942 | + | 688.456i | −0.552564 | + | 1.48055i | ||||
\(466\) | −303.543 | − | 220.537i | −0.651381 | − | 0.473256i | ||||
\(467\) | −22.9375 | + | 7.45285i | −0.0491168 | + | 0.0159590i | −0.333472 | − | 0.942760i | \(-0.608220\pi\) |
0.284356 | + | 0.958719i | \(0.408220\pi\) | |||||||
\(468\) | 0.598364 | − | 75.9576i | 0.00127856 | − | 0.162303i | ||||
\(469\) | 81.7219 | + | 251.514i | 0.174247 | + | 0.536278i | ||||
\(470\) | 864.790 | − | 799.664i | 1.83998 | − | 1.70141i | ||||
\(471\) | −60.0056 | + | 30.2773i | −0.127400 | + | 0.0642830i | ||||
\(472\) | 11.5781 | − | 35.6336i | 0.0245298 | − | 0.0754949i | ||||
\(473\) | 28.3548 | + | 39.0271i | 0.0599468 | + | 0.0825097i | ||||
\(474\) | −625.541 | + | 620.633i | −1.31971 | + | 1.30935i | ||||
\(475\) | −593.818 | − | 245.741i | −1.25014 | − | 0.517350i | ||||
\(476\) | − | 138.482i | − | 0.290929i | ||||||
\(477\) | −217.149 | + | 155.169i | −0.455239 | + | 0.325303i | ||||
\(478\) | 208.489 | − | 641.662i | 0.436169 | − | 1.34239i | ||||
\(479\) | 189.811 | + | 61.6733i | 0.396265 | + | 0.128754i | 0.500369 | − | 0.865812i | \(-0.333198\pi\) |
−0.104104 | + | 0.994566i | \(0.533198\pi\) | |||||||
\(480\) | −428.320 | + | 539.121i | −0.892333 | + | 1.12317i | ||||
\(481\) | −1.37174 | − | 4.22177i | −0.00285184 | − | 0.00877707i | ||||
\(482\) | − | 201.619i | − | 0.418297i | ||||||
\(483\) | −162.810 | − | 83.7653i | −0.337081 | − | 0.173427i | ||||
\(484\) | −744.547 | − | 540.945i | −1.53832 | − | 1.11765i | ||||
\(485\) | 628.571 | − | 74.5000i | 1.29602 | − | 0.153608i | ||||
\(486\) | 124.899 | − | 699.177i | 0.256995 | − | 1.43864i | ||||
\(487\) | −146.115 | − | 106.158i | −0.300030 | − | 0.217984i | 0.427577 | − | 0.903979i | \(-0.359367\pi\) |
−0.727607 | + | 0.685995i | \(0.759367\pi\) | |||||||
\(488\) | 43.7692 | − | 60.2431i | 0.0896909 | − | 0.123449i | ||||
\(489\) | 910.225 | + | 147.843i | 1.86140 | + | 0.302337i | ||||
\(490\) | −250.108 | + | 446.771i | −0.510425 | + | 0.911778i | ||||
\(491\) | −529.169 | + | 728.339i | −1.07774 | + | 1.48338i | −0.215749 | + | 0.976449i | \(0.569219\pi\) |
−0.861988 | + | 0.506929i | \(0.830781\pi\) | |||||||
\(492\) | −461.989 | − | 237.692i | −0.939002 | − | 0.483113i | ||||
\(493\) | 158.172 | 0.320837 | ||||||||
\(494\) | −132.758 | + | 43.1356i | −0.268740 | + | 0.0873189i | ||||
\(495\) | 333.215 | + | 737.716i | 0.673161 | + | 1.49033i | ||||
\(496\) | 204.882 | − | 630.563i | 0.413069 | − | 1.27130i | ||||
\(497\) | −397.543 | − | 129.170i | −0.799886 | − | 0.259899i | ||||
\(498\) | 193.823 | + | 31.4816i | 0.389203 | + | 0.0632161i | ||||
\(499\) | −384.740 | −0.771022 | −0.385511 | − | 0.922703i | \(-0.625975\pi\) | ||||
−0.385511 | + | 0.922703i | \(0.625975\pi\) | |||||||
\(500\) | 315.255 | − | 472.311i | 0.630510 | − | 0.944622i | ||||
\(501\) | 106.568 | − | 105.732i | 0.212711 | − | 0.211042i | ||||
\(502\) | 251.527 | − | 182.745i | 0.501051 | − | 0.364035i | ||||
\(503\) | −467.137 | − | 151.782i | −0.928701 | − | 0.301753i | −0.194670 | − | 0.980869i | \(-0.562364\pi\) |
−0.734031 | + | 0.679116i | \(0.762364\pi\) | |||||||
\(504\) | 16.8897 | − | 50.6209i | 0.0335114 | − | 0.100438i | ||||
\(505\) | 659.752 | − | 304.280i | 1.30644 | − | 0.602535i | ||||
\(506\) | 816.669 | − | 265.352i | 1.61397 | − | 0.524411i | ||||
\(507\) | 349.795 | + | 352.562i | 0.689931 | + | 0.695388i | ||||
\(508\) | 98.9380 | + | 304.500i | 0.194760 | + | 0.599409i | ||||
\(509\) | −32.1205 | + | 44.2101i | −0.0631052 | + | 0.0868568i | −0.839403 | − | 0.543509i | \(-0.817095\pi\) |
0.776298 | + | 0.630366i | \(0.217095\pi\) | |||||||
\(510\) | −95.7776 | − | 344.577i | −0.187799 | − | 0.675641i | ||||
\(511\) | 251.304 | − | 182.583i | 0.491788 | − | 0.357305i | ||||
\(512\) | 415.652 | − | 572.096i | 0.811820 | − | 1.11737i | ||||
\(513\) | −686.760 | + | 100.469i | −1.33871 | + | 0.195846i | ||||
\(514\) | 21.5412 | − | 15.6506i | 0.0419089 | − | 0.0304486i | ||||
\(515\) | 192.258 | − | 22.7869i | 0.373316 | − | 0.0442464i | ||||
\(516\) | −5.57519 | − | 36.1206i | −0.0108046 | − | 0.0700011i | ||||
\(517\) | 448.015 | + | 1378.85i | 0.866567 | + | 2.66702i | ||||
\(518\) | − | 26.0969i | − | 0.0503801i | ||||||
\(519\) | −78.6385 | − | 40.4592i | −0.151519 | − | 0.0779562i | ||||
\(520\) | −1.73481 | − | 14.6369i | −0.00333617 | − | 0.0281479i | ||||
\(521\) | −114.758 | − | 37.2871i | −0.220265 | − | 0.0715684i | 0.196806 | − | 0.980443i | \(-0.436943\pi\) |
−0.417070 | + | 0.908874i | \(0.636943\pi\) | |||||||
\(522\) | 483.840 | + | 161.434i | 0.926896 | + | 0.309260i | ||||
\(523\) | −719.475 | + | 522.729i | −1.37567 | + | 0.999482i | −0.378399 | + | 0.925643i | \(0.623525\pi\) |
−0.997270 | + | 0.0738394i | \(0.976475\pi\) | |||||||
\(524\) | 831.648i | 1.58711i | ||||||||
\(525\) | 66.4113 | − | 272.285i | 0.126498 | − | 0.518638i | ||||
\(526\) | −875.296 | −1.66406 | ||||||||
\(527\) | 234.895 | + | 323.305i | 0.445721 | + | 0.613483i | ||||
\(528\) | −329.009 | − | 652.053i | −0.623123 | − | 1.23495i | ||||
\(529\) | 81.0426 | − | 249.423i | 0.153200 | − | 0.471500i | ||||
\(530\) | −318.190 | + | 294.228i | −0.600358 | + | 0.555146i | ||||
\(531\) | −64.0779 | − | 202.629i | −0.120674 | − | 0.381599i | ||||
\(532\) | −436.395 | −0.820292 | ||||||||
\(533\) | −67.3586 | + | 21.8861i | −0.126376 | + | 0.0410622i | ||||
\(534\) | 44.7558 | + | 289.964i | 0.0838123 | + | 0.543004i | ||||
\(535\) | 220.441 | − | 101.668i | 0.412040 | − | 0.190034i | ||||
\(536\) | 66.0027 | + | 90.8449i | 0.123139 | + | 0.169487i | ||||
\(537\) | 220.099 | − | 33.9722i | 0.409868 | − | 0.0632629i | ||||
\(538\) | −881.456 | − | 640.415i | −1.63839 | − | 1.19036i | ||||
\(539\) | −370.443 | − | 509.872i | −0.687279 | − | 0.945959i | ||||
\(540\) | 31.2172 | − | 612.492i | 0.0578097 | − | 1.13425i | ||||
\(541\) | 4.39711 | + | 3.19469i | 0.00812775 | + | 0.00590516i | 0.591842 | − | 0.806054i | \(-0.298401\pi\) |
−0.583714 | + | 0.811959i | \(0.698401\pi\) | |||||||
\(542\) | −1056.65 | + | 343.325i | −1.94953 | + | 0.633441i | ||||
\(543\) | −151.511 | − | 152.709i | −0.279026 | − | 0.281233i | ||||
\(544\) | 115.713 | + | 356.129i | 0.212708 | + | 0.654649i | ||||
\(545\) | −132.076 | + | 664.556i | −0.242341 | + | 1.21937i | ||||
\(546\) | −27.4232 | − | 54.3493i | −0.0502257 | − | 0.0995408i | ||||
\(547\) | 168.242 | − | 517.796i | 0.307572 | − | 0.946610i | −0.671133 | − | 0.741337i | \(-0.734192\pi\) |
0.978705 | − | 0.205272i | \(-0.0658081\pi\) | |||||||
\(548\) | −221.683 | − | 305.120i | −0.404531 | − | 0.556789i | ||||
\(549\) | 3.32718 | − | 422.359i | 0.00606043 | − | 0.769324i | ||||
\(550\) | 687.148 | + | 1120.51i | 1.24936 | + | 2.03728i | ||||
\(551\) | − | 498.444i | − | 0.904618i | ||||||
\(552\) | −76.7377 | − | 12.4641i | −0.139018 | − | 0.0225799i | ||||
\(553\) | −116.048 | + | 357.158i | −0.209851 | + | 0.645856i | ||||
\(554\) | −650.522 | − | 211.367i | −1.17423 | − | 0.381530i | ||||
\(555\) | −9.59809 | − | 34.5309i | −0.0172939 | − | 0.0622178i | ||||
\(556\) | 92.0078 | + | 283.171i | 0.165482 | + | 0.509300i | ||||
\(557\) | 188.800i | 0.338958i | 0.985534 | + | 0.169479i | \(0.0542085\pi\) | ||||
−0.985534 | + | 0.169479i | \(0.945791\pi\) | |||||||
\(558\) | 388.558 | + | 1228.71i | 0.696341 | + | 2.20199i | ||||
\(559\) | −4.03074 | − | 2.92851i | −0.00721063 | − | 0.00523883i | ||||
\(560\) | −49.2925 | + | 248.021i | −0.0880224 | + | 0.442895i | ||||
\(561\) | 434.524 | + | 70.5773i | 0.774552 | + | 0.125806i | ||||
\(562\) | 486.763 | + | 353.654i | 0.866126 | + | 0.629277i | ||||
\(563\) | 298.859 | − | 411.344i | 0.530833 | − | 0.730629i | −0.456424 | − | 0.889763i | \(-0.650870\pi\) |
0.987257 | + | 0.159133i | \(0.0508699\pi\) | |||||||
\(564\) | 176.103 | − | 1084.21i | 0.312239 | − | 1.92236i | ||||
\(565\) | −464.070 | − | 92.2309i | −0.821363 | − | 0.163241i | ||||
\(566\) | −591.890 | + | 814.666i | −1.04574 | + | 1.43934i | ||||
\(567\) | −88.9890 | − | 289.311i | −0.156947 | − | 0.510249i | ||||
\(568\) | −177.486 | −0.312476 | ||||||||
\(569\) | 948.107 | − | 308.059i | 1.66627 | − | 0.541403i | 0.684097 | − | 0.729391i | \(-0.260196\pi\) |
0.982171 | + | 0.187987i | \(0.0601964\pi\) | |||||||
\(570\) | −1085.86 | + | 301.821i | −1.90501 | + | 0.529511i | ||||
\(571\) | −334.451 | + | 1029.33i | −0.585729 | + | 1.80269i | 0.0105959 | + | 0.999944i | \(0.496627\pi\) |
−0.596325 | + | 0.802743i | \(0.703373\pi\) | |||||||
\(572\) | 144.391 | + | 46.9156i | 0.252433 | + | 0.0820203i | ||||
\(573\) | −13.8063 | + | 85.0014i | −0.0240948 | + | 0.148344i | ||||
\(574\) | −416.378 | −0.725397 | ||||||||
\(575\) | −407.057 | − | 31.9029i | −0.707925 | − | 0.0554832i | ||||
\(576\) | −5.67404 | + | 720.275i | −0.00985076 | + | 1.25048i | ||||
\(577\) | −805.450 | + | 585.194i | −1.39593 | + | 1.01420i | −0.400741 | + | 0.916191i | \(0.631247\pi\) |
−0.995186 | + | 0.0980091i | \(0.968753\pi\) | |||||||
\(578\) | 618.376 | + | 200.923i | 1.06986 | + | 0.347617i | ||||
\(579\) | −281.355 | + | 141.964i | −0.485932 | + | 0.245189i | ||||
\(580\) | 431.982 | + | 85.8535i | 0.744797 | + | 0.148023i | ||||
\(581\) | 79.5892 | − | 25.8601i | 0.136987 | − | 0.0445096i | ||||
\(582\) | 787.999 | − | 781.816i | 1.35395 | − | 1.34333i | ||||
\(583\) | −164.842 | − | 507.332i | −0.282748 | − | 0.870209i | ||||
\(584\) | 77.5259 | − | 106.705i | 0.132750 | − | 0.182714i | ||||
\(585\) | −56.2748 | − | 61.8279i | −0.0961962 | − | 0.105689i | ||||
\(586\) | 633.966 | − | 460.603i | 1.08185 | − | 0.786012i | ||||
\(587\) | 204.777 | − | 281.852i | 0.348854 | − | 0.480156i | −0.598147 | − | 0.801386i | \(-0.704096\pi\) |
0.947001 | + | 0.321230i | \(0.104096\pi\) | |||||||
\(588\) | 72.8373 | + | 471.899i | 0.123873 | + | 0.802549i | ||||
\(589\) | 1018.82 | − | 740.218i | 1.72975 | − | 1.25674i | ||||
\(590\) | −144.525 | − | 313.365i | −0.244957 | − | 0.531126i | ||||
\(591\) | 509.217 | − | 78.5974i | 0.861620 | − | 0.132991i | ||||
\(592\) | 9.99261 | + | 30.7541i | 0.0168794 | + | 0.0519495i | ||||
\(593\) | 508.586i | 0.857649i | 0.903388 | + | 0.428824i | \(0.141072\pi\) | ||||
−0.903388 | + | 0.428824i | \(0.858928\pi\) | |||||||
\(594\) | 1257.15 | + | 659.375i | 2.11641 | + | 1.11006i | ||||
\(595\) | −103.479 | − | 111.907i | −0.173914 | − | 0.188078i | ||||
\(596\) | 567.928 | + | 184.531i | 0.952900 | + | 0.309616i | ||||
\(597\) | 871.473 | − | 439.723i | 1.45975 | − | 0.736554i | ||||
\(598\) | −71.7490 | + | 52.1287i | −0.119982 | + | 0.0871718i | ||||
\(599\) | 236.347i | 0.394569i | 0.980346 | + | 0.197285i | \(0.0632123\pi\) | ||||
−0.980346 | + | 0.197285i | \(0.936788\pi\) | |||||||
\(600\) | −8.90813 | − | 118.669i | −0.0148469 | − | 0.197782i | ||||
\(601\) | −355.588 | −0.591661 | −0.295830 | − | 0.955240i | \(-0.595596\pi\) | ||||
−0.295830 | + | 0.955240i | \(0.595596\pi\) | |||||||
\(602\) | −17.2166 | − | 23.6966i | −0.0285989 | − | 0.0393631i | ||||
\(603\) | 604.183 | + | 201.586i | 1.00196 | + | 0.334306i | ||||
\(604\) | −222.992 | + | 686.298i | −0.369192 | + | 1.13626i | ||||
\(605\) | −1005.88 | + | 119.219i | −1.66261 | + | 0.197057i | ||||
\(606\) | 582.908 | − | 1132.97i | 0.961894 | − | 1.86958i | ||||
\(607\) | −832.456 | −1.37143 | −0.685713 | − | 0.727872i | \(-0.740510\pi\) | ||||
−0.685713 | + | 0.727872i | \(0.740510\pi\) | |||||||
\(608\) | 1122.26 | − | 364.644i | 1.84582 | − | 0.599744i | ||||
\(609\) | 214.831 | − | 33.1590i | 0.352760 | − | 0.0544483i | ||||
\(610\) | −80.7229 | − | 681.075i | −0.132333 | − | 1.11652i | ||||
\(611\) | −88.0132 | − | 121.140i | −0.144048 | − | 0.198265i | ||||
\(612\) | −268.273 | − | 198.160i | −0.438355 | − | 0.323790i | ||||
\(613\) | −171.067 | − | 124.288i | −0.279066 | − | 0.202753i | 0.439444 | − | 0.898270i | \(-0.355175\pi\) |
−0.718510 | + | 0.695517i | \(0.755175\pi\) | |||||||
\(614\) | −278.759 | − | 383.679i | −0.454005 | − | 0.624884i | ||||
\(615\) | −550.942 | + | 153.138i | −0.895841 | + | 0.249005i | ||||
\(616\) | 86.2896 | + | 62.6931i | 0.140081 | + | 0.101774i | ||||
\(617\) | 12.2136 | − | 3.96844i | 0.0197952 | − | 0.00643184i | −0.299103 | − | 0.954221i | \(-0.596687\pi\) |
0.318898 | + | 0.947789i | \(0.396687\pi\) | |||||||
\(618\) | 241.021 | − | 239.130i | 0.390001 | − | 0.386941i | ||||
\(619\) | 263.309 | + | 810.382i | 0.425378 | + | 1.30918i | 0.902631 | + | 0.430414i | \(0.141632\pi\) |
−0.477253 | + | 0.878766i | \(0.658368\pi\) | |||||||
\(620\) | 466.033 | + | 1010.47i | 0.751666 | + | 1.62979i | ||||
\(621\) | −395.245 | + | 195.539i | −0.636465 | + | 0.314878i | ||||
\(622\) | 371.959 | − | 1144.77i | 0.598005 | − | 1.84047i | ||||
\(623\) | 73.4958 | + | 101.158i | 0.117971 | + | 0.162373i | ||||
\(624\) | 53.1277 | + | 53.5479i | 0.0851405 | + | 0.0858139i | ||||
\(625\) | −98.1730 | − | 617.241i | −0.157077 | − | 0.987586i | ||||
\(626\) | − | 530.168i | − | 0.846914i | ||||||
\(627\) | 222.408 | − | 1369.30i | 0.354718 | − | 2.18389i | ||||
\(628\) | −31.4511 | + | 96.7964i | −0.0500813 | + | 0.154134i | ||||
\(629\) | −18.5369 | − | 6.02299i | −0.0294704 | − | 0.00957550i | ||||
\(630\) | −202.322 | − | 447.928i | −0.321146 | − | 0.710997i | ||||
\(631\) | 78.7456 | + | 242.354i | 0.124795 | + | 0.384079i | 0.993864 | − | 0.110612i | \(-0.0352811\pi\) |
−0.869069 | + | 0.494691i | \(0.835281\pi\) | |||||||
\(632\) | 159.456i | 0.252304i | ||||||||
\(633\) | 264.582 | − | 514.254i | 0.417981 | − | 0.812407i | ||||
\(634\) | −176.612 | − | 128.316i | −0.278567 | − | 0.202391i | ||||
\(635\) | 307.485 | + | 172.134i | 0.484228 | + | 0.271077i | ||||
\(636\) | −64.7950 | + | 398.924i | −0.101879 | + | 0.627238i | ||||
\(637\) | 52.6598 | + | 38.2596i | 0.0826685 | + | 0.0600622i | ||||
\(638\) | −599.227 | + | 824.765i | −0.939227 | + | 1.29273i | ||||
\(639\) | −819.092 | + | 585.303i | −1.28183 | + | 0.915967i | ||||
\(640\) | 29.6054 | + | 249.787i | 0.0462585 | + | 0.390292i | ||||
\(641\) | 128.825 | − | 177.312i | 0.200975 | − | 0.276618i | −0.696619 | − | 0.717441i | \(-0.745313\pi\) |
0.897594 | + | 0.440823i | \(0.145313\pi\) | |||||||
\(642\) | 194.765 | − | 378.555i | 0.303373 | − | 0.589650i | ||||
\(643\) | −737.696 | −1.14727 | −0.573636 | − | 0.819110i | \(-0.694468\pi\) | ||||
−0.573636 | + | 0.819110i | \(0.694468\pi\) | |||||||
\(644\) | −263.689 | + | 85.6777i | −0.409455 | + | 0.133040i | ||||
\(645\) | −31.4959 | − | 25.0228i | −0.0488308 | − | 0.0387950i | ||||
\(646\) | −189.399 | + | 582.909i | −0.293187 | + | 0.902336i | ||||
\(647\) | 1074.93 | + | 349.267i | 1.66141 | + | 0.539825i | 0.981167 | − | 0.193161i | \(-0.0618739\pi\) |
0.680244 | + | 0.732986i | \(0.261874\pi\) | |||||||
\(648\) | −73.8967 | − | 105.155i | −0.114038 | − | 0.162276i | ||||
\(649\) | 424.766 | 0.654492 | ||||||||
\(650\) | −103.257 | − | 88.1318i | −0.158857 | − | 0.135587i | ||||
\(651\) | 386.813 | + | 389.872i | 0.594183 | + | 0.598882i | ||||
\(652\) | 1129.72 | − | 820.788i | 1.73270 | − | 1.25888i | ||||
\(653\) | 132.614 | + | 43.0887i | 0.203084 | + | 0.0659858i | 0.408792 | − | 0.912627i | \(-0.365950\pi\) |
−0.205709 | + | 0.978613i | \(0.565950\pi\) | |||||||
\(654\) | 535.266 | + | 1060.83i | 0.818450 | + | 1.62206i | ||||
\(655\) | 621.438 | + | 672.049i | 0.948761 | + | 1.02603i | ||||
\(656\) | 490.684 | − | 159.433i | 0.747993 | − | 0.243038i | ||||
\(657\) | 5.89324 | − | 748.101i | 0.00896993 | − | 1.13866i | ||||
\(658\) | −272.027 | − | 837.213i | −0.413415 | − | 1.27236i | ||||
\(659\) | −325.743 | + | 448.346i | −0.494298 | + | 0.680343i | −0.981174 | − | 0.193128i | \(-0.938137\pi\) |
0.486875 | + | 0.873472i | \(0.338137\pi\) | |||||||
\(660\) | 1148.41 | + | 428.605i | 1.74002 | + | 0.649402i | ||||
\(661\) | 31.3672 | − | 22.7896i | 0.0474542 | − | 0.0344775i | −0.563805 | − | 0.825908i | \(-0.690663\pi\) |
0.611259 | + | 0.791430i | \(0.290663\pi\) | |||||||
\(662\) | −101.594 | + | 139.832i | −0.153465 | + | 0.211226i | ||||
\(663\) | −44.9339 | + | 6.93552i | −0.0677736 | + | 0.0104608i | ||||
\(664\) | 28.7470 | − | 20.8859i | 0.0432936 | − | 0.0314547i | ||||
\(665\) | −352.648 | + | 326.091i | −0.530298 | + | 0.490362i | ||||
\(666\) | −50.5559 | − | 37.3430i | −0.0759098 | − | 0.0560706i | ||||
\(667\) | −97.8598 | − | 301.182i | −0.146716 | − | 0.451547i | ||||
\(668\) | − | 227.326i | − | 0.340308i | ||||||
\(669\) | −136.867 | + | 266.021i | −0.204584 | + | 0.397640i | ||||
\(670\) | 1014.39 | + | 201.604i | 1.51402 | + | 0.300901i | ||||
\(671\) | 802.882 | + | 260.872i | 1.19655 | + | 0.388781i | ||||
\(672\) | 231.821 | + | 459.439i | 0.344972 | + | 0.683689i | ||||
\(673\) | −262.689 | + | 190.854i | −0.390325 | + | 0.283588i | −0.765589 | − | 0.643331i | \(-0.777552\pi\) |
0.375264 | + | 0.926918i | \(0.377552\pi\) | |||||||
\(674\) | − | 1197.74i | − | 1.77707i | ||||||
\(675\) | −432.451 | − | 518.277i | −0.640668 | − | 0.767818i | ||||
\(676\) | 752.065 | 1.11252 | ||||||||
\(677\) | −601.606 | − | 828.040i | −0.888636 | − | 1.22310i | −0.973953 | − | 0.226748i | \(-0.927191\pi\) |
0.0853178 | − | 0.996354i | \(-0.472809\pi\) | |||||||
\(678\) | −740.794 | + | 373.785i | −1.09262 | + | 0.551306i | ||||
\(679\) | 146.186 | − | 449.915i | 0.215296 | − | 0.662614i | ||||
\(680\) | −56.4708 | − | 31.6131i | −0.0830452 | − | 0.0464898i | ||||
\(681\) | −808.370 | − | 415.904i | −1.18703 | − | 0.610725i | ||||
\(682\) | −2575.71 | −3.77670 | ||||||||
\(683\) | −1081.76 | + | 351.486i | −1.58384 | + | 0.514622i | −0.963043 | − | 0.269348i | \(-0.913192\pi\) |
−0.620799 | + | 0.783970i | \(0.713192\pi\) | |||||||
\(684\) | −624.454 | + | 845.402i | −0.912945 | + | 1.23597i | ||||
\(685\) | −407.138 | − | 80.9159i | −0.594362 | − | 0.118125i | ||||
\(686\) | 539.504 | + | 742.563i | 0.786449 | + | 1.08245i | ||||
\(687\) | 23.9981 | + | 155.479i | 0.0349318 | + | 0.226316i | ||||
\(688\) | 29.3625 | + | 21.3331i | 0.0426781 | + | 0.0310074i | ||||
\(689\) | 32.3835 | + | 44.5720i | 0.0470007 | + | 0.0646909i | ||||
\(690\) | −596.864 | + | 395.560i | −0.865021 | + | 0.573275i | ||||
\(691\) | 414.135 | + | 300.887i | 0.599327 | + | 0.435437i | 0.845640 | − | 0.533754i | \(-0.179219\pi\) |
−0.246313 | + | 0.969190i | \(0.579219\pi\) | |||||||
\(692\) | −127.364 | + | 41.3829i | −0.184051 | + | 0.0598019i | ||||
\(693\) | 604.968 | + | 4.76570i | 0.872970 | + | 0.00687692i | ||||
\(694\) | 60.5131 | + | 186.240i | 0.0871947 | + | 0.268358i | ||||
\(695\) | 285.947 | + | 160.077i | 0.411434 | + | 0.230326i | ||||
\(696\) | 82.4032 | − | 41.5785i | 0.118395 | − | 0.0597393i | ||||
\(697\) | −96.0972 | + | 295.757i | −0.137873 | + | 0.424328i | ||||
\(698\) | −481.865 | − | 663.231i | −0.690351 | − | 0.950187i | ||||
\(699\) | −273.383 | + | 271.238i | −0.391106 | + | 0.388037i | ||||
\(700\) | −221.869 | − | 361.793i | −0.316955 | − | 0.516847i | ||||
\(701\) | − | 878.339i | − | 1.25298i | −0.779429 | − | 0.626490i | \(-0.784491\pi\) | ||
0.779429 | − | 0.626490i | \(-0.215509\pi\) | |||||||
\(702\) | −144.529 | − | 24.6450i | −0.205881 | − | 0.0351069i | ||||
\(703\) | −18.9801 | + | 58.4147i | −0.0269987 | + | 0.0830934i | ||||
\(704\) | −1369.21 | − | 444.882i | −1.94489 | − | 0.631934i | ||||
\(705\) | −667.856 | − | 1007.73i | −0.947314 | − | 1.42941i | ||||
\(706\) | 418.584 | + | 1288.27i | 0.592895 | + | 1.82474i | ||||
\(707\) | − | 543.000i | − | 0.768033i | ||||||
\(708\) | −286.163 | − | 147.230i | −0.404184 | − | 0.207952i | ||||
\(709\) | 167.865 | + | 121.961i | 0.236762 | + | 0.172018i | 0.699840 | − | 0.714300i | \(-0.253255\pi\) |
−0.463077 | + | 0.886318i | \(0.653255\pi\) | |||||||
\(710\) | −1200.22 | + | 1109.83i | −1.69045 | + | 1.56315i | ||||
\(711\) | 525.844 | + | 735.884i | 0.739584 | + | 1.03500i | ||||
\(712\) | 42.9525 | + | 31.2068i | 0.0603265 | + | 0.0438298i | ||||
\(713\) | 470.290 | − | 647.298i | 0.659593 | − | 0.907851i | ||||
\(714\) | −263.835 | − | 42.8533i | −0.369517 | − | 0.0600186i | ||||
\(715\) | 151.739 | − | 69.9825i | 0.212222 | − | 0.0978776i | ||||
\(716\) | 198.225 | − | 272.833i | 0.276851 | − | 0.381052i | ||||
\(717\) | −615.778 | − | 316.816i | −0.858826 | − | 0.441863i | ||||
\(718\) | −886.635 | −1.23487 | ||||||||
\(719\) | 17.5068 | − | 5.68830i | 0.0243488 | − | 0.00791141i | −0.296817 | − | 0.954934i | \(-0.595925\pi\) |
0.321166 | + | 0.947023i | \(0.395925\pi\) | |||||||
\(720\) | 409.942 | + | 450.394i | 0.569364 | + | 0.625548i | ||||
\(721\) | 44.7132 | − | 137.613i | 0.0620155 | − | 0.190864i | ||||
\(722\) | 833.410 | + | 270.791i | 1.15431 | + | 0.375057i | ||||
\(723\) | −204.266 | − | 33.1778i | −0.282526 | − | 0.0458891i | ||||
\(724\) | −325.751 | −0.449932 | ||||||||
\(725\) | 413.235 | − | 253.415i | 0.569979 | − | 0.349538i | ||||
\(726\) | −1261.00 | + | 1251.11i | −1.73692 | + | 1.72329i | ||||
\(727\) | 334.589 | − | 243.093i | 0.460233 | − | 0.334379i | −0.333390 | − | 0.942789i | \(-0.608192\pi\) |
0.793623 | + | 0.608410i | \(0.208192\pi\) | |||||||
\(728\) | −10.4767 | − | 3.40410i | −0.0143911 | − | 0.00467596i | ||||
\(729\) | −687.803 | − | 241.594i | −0.943489 | − | 0.331404i | ||||
\(730\) | −142.980 | − | 1206.35i | −0.195863 | − | 1.65254i | ||||
\(731\) | −20.8054 | + | 6.76007i | −0.0284615 | + | 0.00924770i | ||||
\(732\) | −450.476 | − | 454.039i | −0.615404 | − | 0.620271i | ||||
\(733\) | 280.590 | + | 863.566i | 0.382796 | + | 1.17813i | 0.938066 | + | 0.346455i | \(0.112615\pi\) |
−0.555270 | + | 0.831670i | \(0.687385\pi\) | |||||||
\(734\) | −468.897 | + | 645.382i | −0.638824 | + | 0.879266i | ||||
\(735\) | 411.480 | + | 326.911i | 0.559836 | + | 0.444777i | ||||
\(736\) | 606.527 | − | 440.668i | 0.824086 | − | 0.598733i | ||||
\(737\) | −748.269 | + | 1029.90i | −1.01529 | + | 1.39743i | ||||
\(738\) | −595.811 | + | 806.623i | −0.807331 | + | 1.09299i | ||||
\(739\) | 25.0301 | − | 18.1854i | 0.0338702 | − | 0.0246081i | −0.570721 | − | 0.821144i | \(-0.693336\pi\) |
0.604592 | + | 0.796536i | \(0.293336\pi\) | |||||||
\(740\) | −47.3565 | − | 26.5108i | −0.0639953 | − | 0.0358254i | ||||
\(741\) | 21.8557 | + | 141.599i | 0.0294949 | + | 0.191092i | ||||
\(742\) | 100.089 | + | 308.043i | 0.134891 | + | 0.415152i | ||||
\(743\) | − | 557.655i | − | 0.750545i | −0.926915 | − | 0.375272i | \(-0.877549\pi\) | ||
0.926915 | − | 0.375272i | \(-0.122451\pi\) | |||||||
\(744\) | 207.360 | + | 106.686i | 0.278710 | + | 0.143395i | ||||
\(745\) | 596.827 | − | 275.259i | 0.801111 | − | 0.369475i | ||||
\(746\) | −1661.85 | − | 539.968i | −2.22768 | − | 0.723818i | ||||
\(747\) | 63.7900 | − | 191.187i | 0.0853949 | − | 0.255940i | ||||
\(748\) | 539.305 | − | 391.828i | 0.720996 | − | 0.523834i | ||||
\(749\) | − | 181.431i | − | 0.242231i | ||||||
\(750\) | −802.287 | − | 746.777i | −1.06972 | − | 0.995703i | ||||
\(751\) | 408.774 | 0.544307 | 0.272153 | − | 0.962254i | \(-0.412264\pi\) | ||||
0.272153 | + | 0.962254i | \(0.412264\pi\) | |||||||
\(752\) | 641.145 | + | 882.460i | 0.852586 | + | 1.17348i | ||||
\(753\) | −143.754 | − | 284.902i | −0.190909 | − | 0.378356i | ||||
\(754\) | 32.5367 | − | 100.138i | 0.0431521 | − | 0.132809i | ||||
\(755\) | 332.629 | + | 721.220i | 0.440569 | + | 0.955259i | ||||
\(756\) | −405.912 | − | 212.901i | −0.536921 | − | 0.281615i | ||||
\(757\) | 675.350 | 0.892140 | 0.446070 | − | 0.894998i | \(-0.352823\pi\) | ||||
0.446070 | + | 0.894998i | \(0.352823\pi\) | |||||||
\(758\) | 772.393 | − | 250.966i | 1.01899 | − | 0.331089i | ||||
\(759\) | −134.447 | − | 871.057i | −0.177137 | − | 1.14764i | ||||
\(760\) | −99.6214 | + | 177.955i | −0.131081 | + | 0.234151i | ||||
\(761\) | −478.215 | − | 658.206i | −0.628403 | − | 0.864923i | 0.369528 | − | 0.929220i | \(-0.379520\pi\) |
−0.997931 | + | 0.0642969i | \(0.979520\pi\) | |||||||
\(762\) | 610.747 | − | 94.2684i | 0.801505 | − | 0.123712i | ||||
\(763\) | 409.677 | + | 297.648i | 0.536930 | + | 0.390102i | ||||
\(764\) | 76.6493 | + | 105.499i | 0.100326 | + | 0.138087i | ||||
\(765\) | −364.862 | + | 40.3325i | −0.476944 | + | 0.0527223i | ||||
\(766\) | 396.718 | + | 288.232i | 0.517908 | + | 0.376282i | ||||
\(767\) | −41.7229 | + | 13.5566i | −0.0543975 | + | 0.0176748i | ||||
\(768\) | −365.738 | − | 368.630i | −0.476221 | − | 0.479987i | ||||
\(769\) | −311.682 | − | 959.259i | −0.405308 | − | 1.24741i | −0.920637 | − | 0.390419i | \(-0.872330\pi\) |
0.515329 | − | 0.856992i | \(-0.327670\pi\) | |||||||
\(770\) | 975.543 | − | 115.624i | 1.26694 | − | 0.150161i | ||||
\(771\) | −12.3113 | − | 24.3994i | −0.0159680 | − | 0.0316464i | ||||
\(772\) | −147.468 | + | 453.860i | −0.191021 | + | 0.587901i | ||||
\(773\) | −634.760 | − | 873.672i | −0.821164 | − | 1.13024i | −0.989504 | − | 0.144506i | \(-0.953841\pi\) |
0.168340 | − | 0.985729i | \(-0.446159\pi\) | |||||||
\(774\) | −70.5418 | − | 0.555700i | −0.0911393 | − | 0.000717959i | ||||
\(775\) | 1131.66 | + | 468.318i | 1.46021 | + | 0.604281i | ||||
\(776\) | − | 200.868i | − | 0.258851i | ||||||
\(777\) | −26.4395 | − | 4.29443i | −0.0340277 | − | 0.00552693i | ||||
\(778\) | 31.3477 | − | 96.4783i | 0.0402927 | − | 0.124008i | ||||
\(779\) | 932.010 | + | 302.828i | 1.19642 | + | 0.388740i | ||||
\(780\) | −126.483 | − | 5.44794i | −0.162157 | − | 0.00698454i | ||||
\(781\) | −621.789 | − | 1913.67i | −0.796145 | − | 2.45028i | ||||
\(782\) | 389.404i | 0.497959i | ||||||||
\(783\) | 243.173 | − | 463.627i | 0.310565 | − | 0.592117i | ||||
\(784\) | −383.608 | − | 278.708i | −0.489296 | − | 0.355495i | ||||
\(785\) | 46.9145 | + | 101.722i | 0.0597637 | + | 0.129582i | ||||
\(786\) | 1584.45 | + | 257.353i | 2.01584 | + | 0.327421i | ||||
\(787\) | 264.626 | + | 192.262i | 0.336247 | + | 0.244297i | 0.743076 | − | 0.669207i | \(-0.233366\pi\) |
−0.406830 | + | 0.913504i | \(0.633366\pi\) | |||||||
\(788\) | 458.610 | − | 631.222i | 0.581992 | − | 0.801044i | ||||
\(789\) | −144.036 | + | 886.788i | −0.182555 | + | 1.12394i | ||||
\(790\) | 997.091 | + | 1078.29i | 1.26214 | + | 1.36493i | ||||
\(791\) | −207.852 | + | 286.084i | −0.262772 | + | 0.361674i | ||||
\(792\) | 244.927 | − | 77.4538i | 0.309251 | − | 0.0977952i | ||||
\(793\) | −87.1895 | −0.109949 | ||||||||
\(794\) | 1127.34 | − | 366.294i | 1.41982 | − | 0.461327i | ||||
\(795\) | 245.730 | + | 370.785i | 0.309095 | + | 0.466396i | ||||
\(796\) | 456.770 | − | 1405.79i | 0.573831 | − | 1.76607i | ||||
\(797\) | −710.382 | − | 230.817i | −0.891320 | − | 0.289607i | −0.172670 | − | 0.984980i | \(-0.555239\pi\) |
−0.718650 | + | 0.695372i | \(0.755239\pi\) | |||||||
\(798\) | −135.042 | + | 831.416i | −0.169226 | + | 1.04187i | ||||
\(799\) | −657.462 | −0.822856 | ||||||||
\(800\) | 872.879 | + | 745.018i | 1.09110 | + | 0.931273i | ||||
\(801\) | 301.136 | + | 2.37223i | 0.375950 | + | 0.00296158i | ||||
\(802\) | −134.873 | + | 97.9907i | −0.168170 | + | 0.122183i | ||||
\(803\) | 1422.10 | + | 462.069i | 1.77098 | + | 0.575428i | ||||
\(804\) | 861.084 | − | 434.481i | 1.07100 | − | 0.540399i | ||||
\(805\) | −149.064 | + | 266.274i | −0.185172 | + | 0.330775i | ||||
\(806\) | 253.001 | − | 82.2050i | 0.313897 | − | 0.101991i | ||||
\(807\) | −793.874 | + | 787.644i | −0.983734 | + | 0.976015i | ||||
\(808\) | −71.2473 | − | 219.277i | −0.0881774 | − | 0.271382i | ||||
\(809\) | −320.722 | + | 441.436i | −0.396443 | + | 0.545657i | −0.959847 | − | 0.280525i | \(-0.909491\pi\) |
0.563404 | + | 0.826182i | \(0.309491\pi\) | |||||||
\(810\) | −1157.25 | − | 249.010i | −1.42871 | − | 0.307420i | ||||
\(811\) | −1082.68 | + | 786.616i | −1.33500 | + | 0.969933i | −0.335387 | + | 0.942080i | \(0.608867\pi\) |
−0.999612 | + | 0.0278530i | \(0.991133\pi\) | |||||||
\(812\) | 193.480 | − | 266.303i | 0.238276 | − | 0.327959i | ||||
\(813\) | 173.954 | + | 1127.01i | 0.213966 | + | 1.38624i | ||||
\(814\) | 101.632 | − | 73.8397i | 0.124855 | − | 0.0907122i | ||||
\(815\) | 299.594 | − | 1507.44i | 0.367600 | − | 1.84962i | ||||
\(816\) | 327.327 | − | 50.5228i | 0.401136 | − | 0.0619152i | ||||
\(817\) | 21.3028 | + | 65.5633i | 0.0260744 | + | 0.0802489i | ||||
\(818\) | 203.260i | 0.248484i | ||||||||
\(819\) | −59.5755 | + | 18.8397i | −0.0727418 | + | 0.0230033i | ||||
\(820\) | −422.982 | + | 755.576i | −0.515831 | + | 0.921434i | ||||
\(821\) | 1147.73 | + | 372.920i | 1.39797 | + | 0.454227i | 0.908533 | − | 0.417814i | \(-0.137204\pi\) |
0.489434 | + | 0.872041i | \(0.337204\pi\) | |||||||
\(822\) | −649.912 | + | 327.929i | −0.790648 | + | 0.398940i | ||||
\(823\) | 1094.82 | − | 795.436i | 1.33028 | − | 0.966508i | 0.330542 | − | 0.943791i | \(-0.392768\pi\) |
0.999742 | − | 0.0227169i | \(-0.00723163\pi\) | |||||||
\(824\) | − | 61.4384i | − | 0.0745611i | ||||||
\(825\) | 1248.29 | − | 511.783i | 1.51308 | − | 0.620343i | ||||
\(826\) | −257.910 | −0.312240 | ||||||||
\(827\) | 727.403 | + | 1001.18i | 0.879568 | + | 1.21062i | 0.976540 | + | 0.215334i | \(0.0690841\pi\) |
−0.0969725 | + | 0.995287i | \(0.530916\pi\) | |||||||
\(828\) | −211.344 | + | 633.428i | −0.255246 | + | 0.765010i | ||||
\(829\) | −266.234 | + | 819.383i | −0.321150 | + | 0.988399i | 0.651998 | + | 0.758220i | \(0.273931\pi\) |
−0.973148 | + | 0.230178i | \(0.926069\pi\) | |||||||
\(830\) | 63.7954 | − | 320.994i | 0.0768620 | − | 0.386740i | ||||
\(831\) | −321.191 | + | 624.281i | −0.386511 | + | 0.751241i | ||||
\(832\) | 148.690 | 0.178714 | ||||||||
\(833\) | 271.813 | − | 88.3173i | 0.326306 | − | 0.106023i | ||||
\(834\) | 567.966 | − | 87.6652i | 0.681014 | − | 0.105114i | ||||
\(835\) | −169.866 | − | 183.700i | −0.203433 | − | 0.220000i | ||||
\(836\) | −1234.76 | − | 1699.50i | −1.47698 | − | 2.03289i | ||||
\(837\) | 1308.78 | − | 191.467i | 1.56366 | − | 0.228754i | ||||
\(838\) | −485.545 | − | 352.769i | −0.579410 | − | 0.420966i | ||||
\(839\) | −914.772 | − | 1259.08i | −1.09031 | − | 1.50069i | −0.847635 | − | 0.530579i | \(-0.821974\pi\) |
−0.242677 | − | 0.970107i | \(-0.578026\pi\) | |||||||
\(840\) | −83.3263 | − | 31.0987i | −0.0991979 | − | 0.0370222i | ||||
\(841\) | −376.216 | − | 273.337i | −0.447344 | − | 0.325014i | ||||
\(842\) | −751.403 | + | 244.146i | −0.892403 | + | 0.289959i | ||||
\(843\) | 438.397 | − | 434.957i | 0.520044 | − | 0.515964i | ||||
\(844\) | −270.622 | − | 832.890i | −0.320643 | − | 0.986836i | ||||
\(845\) | 607.738 | − | 561.971i | 0.719217 | − | 0.665054i | ||||
\(846\) | −2011.14 | − | 671.018i | −2.37723 | − | 0.793165i | ||||
\(847\) | −233.936 | + | 719.981i | −0.276193 | + | 0.850036i | ||||
\(848\) | −235.902 | − | 324.691i | −0.278186 | − | 0.382891i | ||||
\(849\) | 727.963 | + | 733.720i | 0.857435 | + | 0.864216i | ||||
\(850\) | −579.553 | + | 139.338i | −0.681827 | + | 0.163927i | ||||
\(851\) | 39.0230i | 0.0458555i | ||||||||
\(852\) | −244.408 | + | 1504.75i | −0.286864 | + | 1.76614i | ||||
\(853\) | 236.378 | − | 727.497i | 0.277114 | − | 0.852869i | −0.711538 | − | 0.702647i | \(-0.752001\pi\) |
0.988652 | − | 0.150222i | \(-0.0479988\pi\) | |||||||
\(854\) | −487.496 | − | 158.397i | −0.570839 | − | 0.185477i | ||||
\(855\) | 127.099 | + | 1149.78i | 0.148653 | + | 1.34477i | ||||
\(856\) | −23.8057 | − | 73.2664i | −0.0278104 | − | 0.0855916i | ||||
\(857\) | 460.052i | 0.536817i | 0.963305 | + | 0.268408i | \(0.0864976\pi\) | ||||
−0.963305 | + | 0.268408i | \(0.913502\pi\) | |||||||
\(858\) | 134.065 | − | 260.575i | 0.156253 | − | 0.303701i | ||||
\(859\) | 637.130 | + | 462.902i | 0.741712 | + | 0.538885i | 0.893247 | − | 0.449567i | \(-0.148422\pi\) |
−0.151535 | + | 0.988452i | \(0.548422\pi\) | |||||||
\(860\) | −60.4904 | + | 7.16949i | −0.0703377 | + | 0.00833661i | ||||
\(861\) | −68.5179 | + | 421.844i | −0.0795794 | + | 0.489947i | ||||
\(862\) | 930.316 | + | 675.914i | 1.07925 | + | 0.784123i | ||||
\(863\) | 177.560 | − | 244.390i | 0.205747 | − | 0.283186i | −0.693656 | − | 0.720306i | \(-0.744001\pi\) |
0.899403 | + | 0.437120i | \(0.144001\pi\) | |||||||
\(864\) | 1221.77 | + | 208.336i | 1.41408 | + | 0.241129i | ||||
\(865\) | −71.9988 | + | 128.612i | −0.0832356 | + | 0.148685i | ||||
\(866\) | −272.962 | + | 375.700i | −0.315199 | + | 0.433834i | ||||
\(867\) | 305.319 | − | 593.432i | 0.352156 | − | 0.684466i | ||||
\(868\) | 831.654 | 0.958127 | ||||||||
\(869\) | −1719.27 | + | 558.624i | −1.97844 | + | 0.642835i | ||||
\(870\) | 297.244 | − | 796.441i | 0.341660 | − | 0.915449i | ||||
\(871\) | 40.6294 | − | 125.044i | 0.0466468 | − | 0.143564i | ||||
\(872\) | 204.492 | + | 66.4436i | 0.234510 | + | 0.0761968i | ||||
\(873\) | −662.410 | − | 926.998i | −0.758774 | − | 1.06185i | ||||
\(874\) | 1227.12 | 1.40402 | ||||||||
\(875\) | −449.636 | − | 126.574i | −0.513869 | − | 0.144656i | ||||
\(876\) | −797.903 | − | 804.213i | −0.910848 | − | 0.918052i | ||||
\(877\) | 171.091 | − | 124.305i | 0.195087 | − | 0.141739i | −0.485954 | − | 0.873984i | \(-0.661528\pi\) |
0.681041 | + | 0.732246i | \(0.261528\pi\) | |||||||
\(878\) | 20.3331 | + | 6.60663i | 0.0231584 | + | 0.00752463i | ||||
\(879\) | −362.327 | − | 718.085i | −0.412204 | − | 0.816934i | ||||
\(880\) | −1105.36 | + | 509.798i | −1.25609 | + | 0.579315i | ||||
\(881\) | −937.217 | + | 304.520i | −1.06381 | + | 0.345653i | −0.788074 | − | 0.615580i | \(-0.788922\pi\) |
−0.275736 | + | 0.961233i | \(0.588922\pi\) | |||||||
\(882\) | 921.597 | + | 7.25998i | 1.04489 | + | 0.00823127i | ||||
\(883\) | 486.299 | + | 1496.67i | 0.550735 | + | 1.69499i | 0.706948 | + | 0.707265i | \(0.250071\pi\) |
−0.156213 | + | 0.987723i | \(0.549929\pi\) | |||||||
\(884\) | −40.4682 | + | 55.6997i | −0.0457785 | + | 0.0630088i | ||||
\(885\) | −341.261 | + | 94.8560i | −0.385606 | + | 0.107182i | ||||
\(886\) | −1013.85 | + | 736.607i | −1.14430 | + | 0.831385i | ||||
\(887\) | −259.796 | + | 357.578i | −0.292893 | + | 0.403132i | −0.929951 | − | 0.367683i | \(-0.880151\pi\) |
0.637058 | + | 0.770816i | \(0.280151\pi\) | |||||||
\(888\) | −11.2404 | + | 1.73495i | −0.0126581 | + | 0.00195377i | ||||
\(889\) | 213.068 | − | 154.803i | 0.239672 | − | 0.174132i | ||||
\(890\) | 485.597 | − | 57.5543i | 0.545615 | − | 0.0646677i | ||||
\(891\) | 874.904 | − | 1165.15i | 0.981935 | − | 1.30769i | ||||
\(892\) | 139.992 | + | 430.850i | 0.156941 | + | 0.483016i | ||||
\(893\) | 2071.84i | 2.32009i | ||||||||
\(894\) | 527.312 | − | 1024.91i | 0.589835 | − | 1.14643i | ||||
\(895\) | −43.6870 | − | 368.596i | −0.0488123 | − | 0.411839i | ||||
\(896\) | 178.791 | + | 58.0927i | 0.199544 | + | 0.0648356i | ||||
\(897\) | 41.0063 | + | 81.2692i | 0.0457150 | + | 0.0906011i | ||||
\(898\) | −158.572 | + | 115.209i | −0.176584 | + | 0.128295i | ||||
\(899\) | 949.903i | 1.05662i | ||||||||
\(900\) | −1018.36 | − | 87.8899i | −1.13151 | − | 0.0976555i | ||||
\(901\) | 241.906 | 0.268486 | ||||||||
\(902\) | −1178.12 | − | 1621.54i | −1.30612 | − | 1.79772i | ||||
\(903\) | −26.8408 | + | 13.5432i | −0.0297240 | + | 0.0149980i | ||||
\(904\) | −46.3987 | + | 142.800i | −0.0513260 | + | 0.157965i | ||||
\(905\) | −263.237 | + | 243.413i | −0.290870 | + | 0.268965i | ||||
\(906\) | 1238.52 | + | 637.217i | 1.36702 | + | 0.703330i | ||||
\(907\) | −231.066 | −0.254758 | −0.127379 | − | 0.991854i | \(-0.540656\pi\) | ||||
−0.127379 | + | 0.991854i | \(0.540656\pi\) | |||||||
\(908\) | −1309.24 | + | 425.399i | −1.44190 | + | 0.468501i | ||||
\(909\) | −1051.92 | − | 776.999i | −1.15723 | − | 0.854784i | ||||
\(910\) | −92.1332 | + | 42.4921i | −0.101245 | + | 0.0466947i | ||||
\(911\) | 682.762 | + | 939.741i | 0.749464 | + | 1.03155i | 0.998018 | + | 0.0629307i | \(0.0200447\pi\) |
−0.248554 | + | 0.968618i | \(0.579955\pi\) | |||||||
\(912\) | −159.211 | − | 1031.50i | −0.174573 | − | 1.13103i | ||||
\(913\) | 325.903 | + | 236.782i | 0.356958 | + | 0.259345i | ||||
\(914\) | 990.836 | + | 1363.77i | 1.08407 | + | 1.49209i | ||||
\(915\) | −703.301 | − | 30.2930i | −0.768635 | − | 0.0331071i | ||||
\(916\) | 192.731 | + | 140.027i | 0.210405 | + | 0.152868i | ||||
\(917\) | 650.618 | − | 211.399i | 0.709507 | − | 0.230533i | ||||
\(918\) | −460.549 | + | 449.792i | −0.501687 | + | 0.489969i | ||||
\(919\) | −99.0929 | − | 304.977i | −0.107827 | − | 0.331857i | 0.882557 | − | 0.470206i | \(-0.155820\pi\) |
−0.990384 | + | 0.138349i | \(0.955820\pi\) | |||||||
\(920\) | −25.2576 | + | 127.087i | −0.0274539 | + | 0.138138i | ||||
\(921\) | −434.588 | + | 219.282i | −0.471866 | + | 0.238091i | ||||
\(922\) | 15.6545 | − | 48.1797i | 0.0169789 | − | 0.0522557i | ||||
\(923\) | 122.151 | + | 168.127i | 0.132342 | + | 0.182153i | ||||
\(924\) | 650.345 | − | 645.242i | 0.703837 | − | 0.698314i | ||||
\(925\) | −58.0783 | + | 13.9633i | −0.0627874 | + | 0.0150955i | ||||
\(926\) | − | 1080.71i | − | 1.16707i | ||||||
\(927\) | −202.608 | − | 283.536i | −0.218563 | − | 0.305864i | ||||
\(928\) | −275.048 | + | 846.509i | −0.296387 | + | 0.912187i | ||||
\(929\) | 460.796 | + | 149.722i | 0.496013 | + | 0.161164i | 0.546332 | − | 0.837569i | \(-0.316024\pi\) |
−0.0503187 | + | 0.998733i | \(0.516024\pi\) | |||||||
\(930\) | 2069.35 | − | 575.191i | 2.22511 | − | 0.618485i | ||||
\(931\) | −278.312 | − | 856.556i | −0.298939 | − | 0.920038i | ||||
\(932\) | 583.165i | 0.625714i | ||||||||
\(933\) | −1098.59 | − | 565.223i | −1.17749 | − | 0.605813i | ||||
\(934\) | 57.0295 | + | 41.4344i | 0.0610594 | + | 0.0443623i | ||||
\(935\) | 143.020 | − | 719.622i | 0.152963 | − | 0.769649i | ||||
\(936\) | −21.5861 | + | 15.4249i | −0.0230621 | + | 0.0164796i | ||||
\(937\) | −1336.67 | − | 971.145i | −1.42654 | − | 1.03644i | −0.990648 | − | 0.136441i | \(-0.956434\pi\) |
−0.435890 | − | 0.900000i | \(-0.643566\pi\) | |||||||
\(938\) | 454.336 | − | 625.340i | 0.484366 | − | 0.666673i | ||||
\(939\) | −537.129 | − | 87.2429i | −0.572022 | − | 0.0929104i | ||||
\(940\) | −1795.58 | − | 356.860i | −1.91019 | − | 0.379638i | ||||
\(941\) | 55.9035 | − | 76.9445i | 0.0594086 | − | 0.0817689i | −0.778279 | − | 0.627919i | \(-0.783907\pi\) |
0.837688 | + | 0.546150i | \(0.183907\pi\) | |||||||
\(942\) | 174.683 | + | 89.8739i | 0.185438 | + | 0.0954075i | ||||
\(943\) | 622.615 | 0.660249 | ||||||||
\(944\) | 303.936 | − | 98.7549i | 0.321967 | − | 0.104613i | ||||
\(945\) | −487.103 | + | 131.269i | −0.515452 | + | 0.138909i | ||||
\(946\) | 43.5705 | − | 134.096i | 0.0460576 | − | 0.141751i | ||||
\(947\) | −590.884 | − | 191.990i | −0.623954 | − | 0.202735i | −0.0200590 | − | 0.999799i | \(-0.506385\pi\) |
−0.603895 | + | 0.797064i | \(0.706385\pi\) | |||||||
\(948\) | 1351.89 | + | 219.580i | 1.42604 | + | 0.231624i | ||||
\(949\) | −154.434 | −0.162733 | ||||||||
\(950\) | 439.091 | + | 1826.33i | 0.462201 | + | 1.92245i | ||||
\(951\) | −159.063 | + | 157.815i | −0.167259 | + | 0.165946i | ||||
\(952\) | −39.1308 | + | 28.4302i | −0.0411038 | + | 0.0298637i | ||||
\(953\) | 1470.15 | + | 477.681i | 1.54266 | + | 0.501240i | 0.952108 | − | 0.305762i | \(-0.0989112\pi\) |
0.590549 | + | 0.807002i | \(0.298911\pi\) | |||||||
\(954\) | 739.975 | + | 246.894i | 0.775655 | + | 0.258798i | ||||
\(955\) | 140.772 | + | 27.9775i | 0.147405 | + | 0.0292959i | ||||
\(956\) | −997.320 | + | 324.049i | −1.04322 | + | 0.338963i | ||||
\(957\) | 736.986 | + | 742.815i | 0.770101 | + | 0.776191i | ||||
\(958\) | −180.260 | − | 554.783i | −0.188163 | − | 0.579105i | ||||
\(959\) | −182.353 | + | 250.987i | −0.190149 | + | 0.261718i | ||||
\(960\) | 1199.38 | + | 51.6606i | 1.24936 | + | 0.0538131i | ||||
\(961\) | −1164.14 | + | 845.799i | −1.21139 | + | 0.880124i | ||||
\(962\) | −7.62621 | + | 10.4966i | −0.00792745 | + | 0.0109112i | ||||
\(963\) | −351.476 | − | 259.617i | −0.364980 | − | 0.269591i | ||||
\(964\) | −253.523 | + | 184.195i | −0.262991 | + | 0.191074i | ||||
\(965\) | 219.973 | + | 476.954i | 0.227951 | + | 0.494253i | ||||
\(966\) | 81.6339 | + | 528.890i | 0.0845072 | + | 0.547506i | ||||
\(967\) | −138.049 | − | 424.871i | −0.142760 | − | 0.439370i | 0.853956 | − | 0.520345i | \(-0.174197\pi\) |
−0.996716 | + | 0.0809751i | \(0.974197\pi\) | |||||||
\(968\) | 321.441i | 0.332067i | ||||||||
\(969\) | 559.396 | + | 287.807i | 0.577292 | + | 0.297015i | ||||
\(970\) | −1256.04 | − | 1358.34i | −1.29489 | − | 1.40035i | ||||
\(971\) | 712.334 | + | 231.451i | 0.733608 | + | 0.238364i | 0.651913 | − | 0.758294i | \(-0.273967\pi\) |
0.0816951 | + | 0.996657i | \(0.473967\pi\) | |||||||
\(972\) | −993.276 | + | 481.701i | −1.02189 | + | 0.495578i | ||||
\(973\) | 198.144 | − | 143.960i | 0.203642 | − | 0.147955i | ||||
\(974\) | 527.883i | 0.541974i | ||||||||
\(975\) | −106.281 | + | 90.1101i | −0.109006 | + | 0.0924206i | ||||
\(976\) | 635.145 | 0.650763 | ||||||||
\(977\) | −509.395 | − | 701.122i | −0.521387 | − | 0.717627i | 0.464401 | − | 0.885625i | \(-0.346270\pi\) |
−0.985787 | + | 0.167998i | \(0.946270\pi\) | |||||||
\(978\) | −1214.17 | − | 2406.32i | −1.24148 | − | 2.46045i | ||||
\(979\) | −185.998 | + | 572.444i | −0.189988 | + | 0.584723i | ||||
\(980\) | 790.280 | − | 93.6661i | 0.806408 | − | 0.0955777i | ||||
\(981\) | 1162.84 | − | 367.727i | 1.18536 | − | 0.374850i | ||||
\(982\) | 2631.34 | 2.67958 | ||||||||
\(983\) | −290.776 | + | 94.4787i | −0.295804 | + | 0.0961127i | −0.453160 | − | 0.891429i | \(-0.649703\pi\) |
0.157355 | + | 0.987542i | \(0.449703\pi\) | |||||||
\(984\) | 27.6813 | + | 179.342i | 0.0281314 | + | 0.182258i | ||||
\(985\) | −101.073 | − | 852.777i | −0.102613 | − | 0.865763i | ||||
\(986\) | −271.739 | − | 374.016i | −0.275597 | − | 0.379327i | ||||
\(987\) | −892.969 | + | 137.829i | −0.904730 | + | 0.139645i | ||||
\(988\) | 175.525 | + | 127.526i | 0.177657 | + | 0.129075i | ||||
\(989\) | 25.7442 | + | 35.4338i | 0.0260305 | + | 0.0358279i | ||||
\(990\) | 1171.95 | − | 2055.31i | 1.18379 | − | 2.07607i | ||||
\(991\) | −1178.89 | − | 856.511i | −1.18959 | − | 0.864290i | −0.196372 | − | 0.980530i | \(-0.562916\pi\) |
−0.993221 | + | 0.116240i | \(0.962916\pi\) | |||||||
\(992\) | −2138.73 | + | 694.916i | −2.15598 | + | 0.700520i | ||||
\(993\) | 124.950 | + | 125.938i | 0.125831 | + | 0.126826i | ||||
\(994\) | 377.539 | + | 1161.95i | 0.379818 | + | 1.16896i | ||||
\(995\) | −681.348 | − | 1477.33i | −0.684772 | − | 1.48475i | ||||
\(996\) | −137.487 | − | 272.481i | −0.138039 | − | 0.273576i | ||||
\(997\) | 458.011 | − | 1409.61i | 0.459389 | − | 1.41385i | −0.406515 | − | 0.913644i | \(-0.633256\pi\) |
0.865904 | − | 0.500210i | \(-0.166744\pi\) | |||||||
\(998\) | 660.979 | + | 909.759i | 0.662304 | + | 0.911583i | ||||
\(999\) | −46.1526 | + | 45.0746i | −0.0461988 | + | 0.0451198i |
(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 | 75.3.j.a.11.3 | ✓ | 72 | |
3.2 | odd | 2 | inner | 75.3.j.a.11.16 | yes | 72 | |
5.2 | odd | 4 | 375.3.h.b.74.32 | 144 | |||
5.3 | odd | 4 | 375.3.h.b.74.5 | 144 | |||
5.4 | even | 2 | 375.3.j.a.176.16 | 72 | |||
15.2 | even | 4 | 375.3.h.b.74.6 | 144 | |||
15.8 | even | 4 | 375.3.h.b.74.31 | 144 | |||
15.14 | odd | 2 | 375.3.j.a.176.3 | 72 | |||
25.9 | even | 10 | 375.3.j.a.326.3 | 72 | |||
25.12 | odd | 20 | 375.3.h.b.299.31 | 144 | |||
25.13 | odd | 20 | 375.3.h.b.299.6 | 144 | |||
25.16 | even | 5 | inner | 75.3.j.a.41.16 | yes | 72 | |
75.38 | even | 20 | 375.3.h.b.299.32 | 144 | |||
75.41 | odd | 10 | inner | 75.3.j.a.41.3 | yes | 72 | |
75.59 | odd | 10 | 375.3.j.a.326.16 | 72 | |||
75.62 | even | 20 | 375.3.h.b.299.5 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.j.a.11.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
75.3.j.a.11.16 | yes | 72 | 3.2 | odd | 2 | inner | |
75.3.j.a.41.3 | yes | 72 | 75.41 | odd | 10 | inner | |
75.3.j.a.41.16 | yes | 72 | 25.16 | even | 5 | inner | |
375.3.h.b.74.5 | 144 | 5.3 | odd | 4 | |||
375.3.h.b.74.6 | 144 | 15.2 | even | 4 | |||
375.3.h.b.74.31 | 144 | 15.8 | even | 4 | |||
375.3.h.b.74.32 | 144 | 5.2 | odd | 4 | |||
375.3.h.b.299.5 | 144 | 75.62 | even | 20 | |||
375.3.h.b.299.6 | 144 | 25.13 | odd | 20 | |||
375.3.h.b.299.31 | 144 | 25.12 | odd | 20 | |||
375.3.h.b.299.32 | 144 | 75.38 | even | 20 | |||
375.3.j.a.176.3 | 72 | 15.14 | odd | 2 | |||
375.3.j.a.176.16 | 72 | 5.4 | even | 2 | |||
375.3.j.a.326.3 | 72 | 25.9 | even | 10 | |||
375.3.j.a.326.16 | 72 | 75.59 | odd | 10 |