Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 173.4 | ||
Character | \(\chi\) | \(=\) | 210.173 |
Dual form | 210.3.w.a.17.4 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | + | 0.366025i | −0.683013 | + | 0.183013i | ||||
\(3\) | −2.44741 | − | 1.73499i | −0.815802 | − | 0.578331i | ||||
\(4\) | 1.73205 | − | 1.00000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 4.38913 | − | 2.39490i | 0.877825 | − | 0.478981i | ||||
\(6\) | 3.97827 | + | 1.47423i | 0.663045 | + | 0.245705i | ||||
\(7\) | 5.69479 | − | 4.07055i | 0.813541 | − | 0.581507i | ||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | 2.97959 | + | 8.49247i | 0.331066 | + | 0.943608i | ||||
\(10\) | −5.11906 | + | 4.87803i | −0.511906 | + | 0.487803i | ||||
\(11\) | −12.1554 | + | 7.01794i | −1.10504 | + | 0.637995i | −0.937540 | − | 0.347877i | \(-0.886903\pi\) |
−0.167499 | + | 0.985872i | \(0.553569\pi\) | |||||||
\(12\) | −5.97403 | − | 0.557691i | −0.497835 | − | 0.0464743i | ||||
\(13\) | 7.32665 | − | 7.32665i | 0.563588 | − | 0.563588i | −0.366736 | − | 0.930325i | \(-0.619525\pi\) |
0.930325 | + | 0.366736i | \(0.119525\pi\) | |||||||
\(14\) | −6.28930 | + | 7.64491i | −0.449236 | + | 0.546065i | ||||
\(15\) | −14.8971 | − | 1.75381i | −0.993141 | − | 0.116920i | ||||
\(16\) | 2.00000 | − | 3.46410i | 0.125000 | − | 0.216506i | ||||
\(17\) | 8.77125 | + | 2.35025i | 0.515956 | + | 0.138250i | 0.507395 | − | 0.861713i | \(-0.330608\pi\) |
0.00856047 | + | 0.999963i | \(0.497275\pi\) | |||||||
\(18\) | −7.17866 | − | 10.5103i | −0.398814 | − | 0.583907i | ||||
\(19\) | 13.9857 | − | 24.2240i | 0.736090 | − | 1.27495i | −0.218153 | − | 0.975914i | \(-0.570003\pi\) |
0.954243 | − | 0.299031i | \(-0.0966633\pi\) | |||||||
\(20\) | 5.20729 | − | 8.53722i | 0.260364 | − | 0.426861i | ||||
\(21\) | −20.9998 | + | 0.0818625i | −0.999992 | + | 0.00389822i | ||||
\(22\) | 14.0359 | − | 14.0359i | 0.637995 | − | 0.637995i | ||||
\(23\) | −8.52605 | − | 31.8197i | −0.370698 | − | 1.38346i | −0.859530 | − | 0.511086i | \(-0.829243\pi\) |
0.488832 | − | 0.872378i | \(-0.337423\pi\) | |||||||
\(24\) | 8.36480 | − | 1.42482i | 0.348533 | − | 0.0593677i | ||||
\(25\) | 13.5289 | − | 21.0231i | 0.541155 | − | 0.840923i | ||||
\(26\) | −7.32665 | + | 12.6901i | −0.281794 | + | 0.488082i | ||||
\(27\) | 7.44210 | − | 25.9541i | 0.275633 | − | 0.961263i | ||||
\(28\) | 5.79312 | − | 12.7452i | 0.206897 | − | 0.455185i | ||||
\(29\) | −4.58689 | −0.158169 | −0.0790843 | − | 0.996868i | \(-0.525200\pi\) | ||||
−0.0790843 | + | 0.996868i | \(0.525200\pi\) | |||||||
\(30\) | 20.9918 | − | 3.05698i | 0.699726 | − | 0.101899i | ||||
\(31\) | −31.4105 | + | 18.1349i | −1.01324 | + | 0.584995i | −0.912139 | − | 0.409881i | \(-0.865570\pi\) |
−0.101103 | + | 0.994876i | \(0.532237\pi\) | |||||||
\(32\) | −1.46410 | + | 5.46410i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 41.9254 | + | 3.91384i | 1.27047 | + | 0.118601i | ||||
\(34\) | −12.8420 | −0.377706 | ||||||||
\(35\) | 15.2466 | − | 31.5046i | 0.435617 | − | 0.900132i | ||||
\(36\) | 13.6533 | + | 11.7298i | 0.379258 | + | 0.325828i | ||||
\(37\) | −9.81415 | − | 36.6269i | −0.265247 | − | 0.989917i | −0.962099 | − | 0.272701i | \(-0.912083\pi\) |
0.696851 | − | 0.717216i | \(-0.254584\pi\) | |||||||
\(38\) | −10.2383 | + | 38.2097i | −0.269428 | + | 1.00552i | ||||
\(39\) | −30.6430 | + | 5.21960i | −0.785717 | + | 0.133836i | ||||
\(40\) | −3.98845 | + | 13.5681i | −0.0997112 | + | 0.339202i | ||||
\(41\) | −53.2920 | −1.29981 | −0.649903 | − | 0.760017i | \(-0.725190\pi\) | ||||
−0.649903 | + | 0.760017i | \(0.725190\pi\) | |||||||
\(42\) | 28.6564 | − | 7.79830i | 0.682294 | − | 0.185674i | ||||
\(43\) | 16.6145 | + | 16.6145i | 0.386383 | + | 0.386383i | 0.873395 | − | 0.487012i | \(-0.161913\pi\) |
−0.487012 | + | 0.873395i | \(0.661913\pi\) | |||||||
\(44\) | −14.0359 | + | 24.3109i | −0.318997 | + | 0.552520i | ||||
\(45\) | 33.4165 | + | 30.1387i | 0.742588 | + | 0.669749i | ||||
\(46\) | 23.2936 | + | 40.3457i | 0.506383 | + | 0.877081i | ||||
\(47\) | −4.62343 | − | 17.2549i | −0.0983708 | − | 0.367125i | 0.899138 | − | 0.437665i | \(-0.144194\pi\) |
−0.997509 | + | 0.0705401i | \(0.977528\pi\) | |||||||
\(48\) | −10.9050 | + | 5.00808i | −0.227188 | + | 0.104335i | ||||
\(49\) | 15.8613 | − | 46.3618i | 0.323699 | − | 0.946160i | ||||
\(50\) | −10.7858 | + | 33.6700i | −0.215716 | + | 0.673399i | ||||
\(51\) | −17.3891 | − | 20.9701i | −0.340963 | − | 0.411178i | ||||
\(52\) | 5.36348 | − | 20.0168i | 0.103144 | − | 0.384938i | ||||
\(53\) | 78.9680 | + | 21.1594i | 1.48996 | + | 0.399234i | 0.909724 | − | 0.415212i | \(-0.136293\pi\) |
0.580238 | + | 0.814447i | \(0.302959\pi\) | |||||||
\(54\) | −0.666244 | + | 38.1780i | −0.0123378 | + | 0.706999i | ||||
\(55\) | −36.5444 | + | 59.9137i | −0.664444 | + | 1.08934i | ||||
\(56\) | −3.24848 | + | 19.5307i | −0.0580086 | + | 0.348762i | ||||
\(57\) | −76.2571 | + | 35.0208i | −1.33784 | + | 0.614399i | ||||
\(58\) | 6.26580 | − | 1.67892i | 0.108031 | − | 0.0289468i | ||||
\(59\) | 8.07299 | − | 4.66094i | 0.136830 | − | 0.0789990i | −0.430022 | − | 0.902818i | \(-0.641494\pi\) |
0.566853 | + | 0.823819i | \(0.308161\pi\) | |||||||
\(60\) | −27.5564 | + | 11.8594i | −0.459273 | + | 0.197657i | ||||
\(61\) | 92.7811 | + | 53.5672i | 1.52100 | + | 0.878151i | 0.999693 | + | 0.0247829i | \(0.00788946\pi\) |
0.521309 | + | 0.853368i | \(0.325444\pi\) | |||||||
\(62\) | 36.2697 | − | 36.2697i | 0.584995 | − | 0.584995i | ||||
\(63\) | 51.5372 | + | 36.2342i | 0.818050 | + | 0.575147i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | 14.6110 | − | 49.7042i | 0.224784 | − | 0.764680i | ||||
\(66\) | −58.7037 | + | 9.99934i | −0.889450 | + | 0.151505i | ||||
\(67\) | −90.5133 | − | 24.2530i | −1.35095 | − | 0.361985i | −0.490462 | − | 0.871463i | \(-0.663172\pi\) |
−0.860484 | + | 0.509478i | \(0.829839\pi\) | |||||||
\(68\) | 17.5425 | − | 4.70050i | 0.257978 | − | 0.0691250i | ||||
\(69\) | −34.3402 | + | 92.6683i | −0.497684 | + | 1.34302i | ||||
\(70\) | −9.29572 | + | 48.6168i | −0.132796 | + | 0.694525i | ||||
\(71\) | − | 31.9798i | − | 0.450420i | −0.974310 | − | 0.225210i | \(-0.927693\pi\) | ||
0.974310 | − | 0.225210i | \(-0.0723068\pi\) | |||||||
\(72\) | −22.9441 | − | 11.0257i | −0.318668 | − | 0.153135i | ||||
\(73\) | −63.8772 | − | 17.1159i | −0.875031 | − | 0.234464i | −0.206769 | − | 0.978390i | \(-0.566295\pi\) |
−0.668262 | + | 0.743926i | \(0.732961\pi\) | |||||||
\(74\) | 26.8128 | + | 46.4411i | 0.362335 | + | 0.627582i | ||||
\(75\) | −69.5855 | + | 27.9795i | −0.927807 | + | 0.373060i | ||||
\(76\) | − | 55.9428i | − | 0.736090i | ||||||
\(77\) | −40.6558 | + | 89.4450i | −0.527997 | + | 1.16162i | ||||
\(78\) | 39.9486 | − | 18.3462i | 0.512161 | − | 0.235208i | ||||
\(79\) | 46.9255 | + | 27.0925i | 0.593994 | + | 0.342943i | 0.766675 | − | 0.642035i | \(-0.221910\pi\) |
−0.172681 | + | 0.984978i | \(0.555243\pi\) | |||||||
\(80\) | 0.482065 | − | 19.9942i | 0.00602581 | − | 0.249927i | ||||
\(81\) | −63.2440 | + | 50.6082i | −0.780791 | + | 0.624793i | ||||
\(82\) | 72.7983 | − | 19.5062i | 0.887784 | − | 0.237881i | ||||
\(83\) | −37.9054 | − | 37.9054i | −0.456692 | − | 0.456692i | 0.440876 | − | 0.897568i | \(-0.354668\pi\) |
−0.897568 | + | 0.440876i | \(0.854668\pi\) | |||||||
\(84\) | −36.2909 | + | 21.1416i | −0.432035 | + | 0.251686i | ||||
\(85\) | 44.1267 | − | 10.6908i | 0.519138 | − | 0.125774i | ||||
\(86\) | −28.7771 | − | 16.6145i | −0.334617 | − | 0.193191i | ||||
\(87\) | 11.2260 | + | 7.95822i | 0.129034 | + | 0.0914738i | ||||
\(88\) | 10.2750 | − | 38.3467i | 0.116761 | − | 0.435759i | ||||
\(89\) | 91.9135 | + | 53.0663i | 1.03274 | + | 0.596251i | 0.917767 | − | 0.397118i | \(-0.129990\pi\) |
0.114969 | + | 0.993369i | \(0.463323\pi\) | |||||||
\(90\) | −56.6793 | − | 28.9389i | −0.629770 | − | 0.321544i | ||||
\(91\) | 11.9002 | − | 71.5472i | 0.130772 | − | 0.786233i | ||||
\(92\) | −46.5872 | − | 46.5872i | −0.506383 | − | 0.506383i | ||||
\(93\) | 108.338 | + | 10.1136i | 1.16493 | + | 0.108749i | ||||
\(94\) | 12.6314 | + | 21.8783i | 0.134377 | + | 0.232748i | ||||
\(95\) | 3.37101 | − | 139.816i | 0.0354843 | − | 1.47175i | ||||
\(96\) | 13.0634 | − | 10.8327i | 0.136077 | − | 0.112840i | ||||
\(97\) | 59.6232 | + | 59.6232i | 0.614672 | + | 0.614672i | 0.944160 | − | 0.329488i | \(-0.106876\pi\) |
−0.329488 | + | 0.944160i | \(0.606876\pi\) | |||||||
\(98\) | −4.69727 | + | 69.1371i | −0.0479314 | + | 0.705480i | ||||
\(99\) | −95.8179 | − | 82.3190i | −0.967858 | − | 0.831505i | ||||
\(100\) | 2.40962 | − | 49.9419i | 0.0240962 | − | 0.499419i | ||||
\(101\) | 60.3990 | + | 104.614i | 0.598010 | + | 1.03578i | 0.993114 | + | 0.117148i | \(0.0373751\pi\) |
−0.395104 | + | 0.918636i | \(0.629292\pi\) | |||||||
\(102\) | 31.4296 | + | 22.2808i | 0.308133 | + | 0.218439i | ||||
\(103\) | 33.2542 | + | 124.106i | 0.322856 | + | 1.20491i | 0.916450 | + | 0.400150i | \(0.131042\pi\) |
−0.593594 | + | 0.804765i | \(0.702291\pi\) | |||||||
\(104\) | 29.3066i | 0.281794i | ||||||||
\(105\) | −91.9749 | + | 50.6519i | −0.875952 | + | 0.482399i | ||||
\(106\) | −115.617 | −1.09073 | ||||||||
\(107\) | 94.0731 | − | 25.2068i | 0.879188 | − | 0.235578i | 0.209131 | − | 0.977888i | \(-0.432936\pi\) |
0.670057 | + | 0.742310i | \(0.266270\pi\) | |||||||
\(108\) | −13.0640 | − | 52.3959i | −0.120963 | − | 0.485147i | ||||
\(109\) | 2.94309 | − | 1.69919i | 0.0270008 | − | 0.0155889i | −0.486439 | − | 0.873715i | \(-0.661704\pi\) |
0.513440 | + | 0.858126i | \(0.328371\pi\) | |||||||
\(110\) | 27.9907 | − | 95.2199i | 0.254461 | − | 0.865635i | ||||
\(111\) | −39.5283 | + | 106.668i | −0.356110 | + | 0.960977i | ||||
\(112\) | −2.71122 | − | 27.8684i | −0.0242073 | − | 0.248825i | ||||
\(113\) | −29.7534 | + | 29.7534i | −0.263304 | + | 0.263304i | −0.826395 | − | 0.563091i | \(-0.809612\pi\) |
0.563091 | + | 0.826395i | \(0.309612\pi\) | |||||||
\(114\) | 91.3507 | − | 75.7513i | 0.801322 | − | 0.664485i | ||||
\(115\) | −113.627 | − | 119.241i | −0.988061 | − | 1.03688i | ||||
\(116\) | −7.94472 | + | 4.58689i | −0.0684890 | + | 0.0395421i | ||||
\(117\) | 84.0518 | + | 40.3909i | 0.718391 | + | 0.345221i | ||||
\(118\) | −9.32188 | + | 9.32188i | −0.0789990 | + | 0.0789990i | ||||
\(119\) | 59.5172 | − | 22.3196i | 0.500145 | − | 0.187560i | ||||
\(120\) | 33.3019 | − | 26.2866i | 0.277515 | − | 0.219055i | ||||
\(121\) | 38.0030 | − | 65.8232i | 0.314075 | − | 0.543993i | ||||
\(122\) | −146.348 | − | 39.2139i | −1.19958 | − | 0.321426i | ||||
\(123\) | 130.427 | + | 92.4614i | 1.06038 | + | 0.751718i | ||||
\(124\) | −36.2697 | + | 62.8210i | −0.292498 | + | 0.506621i | ||||
\(125\) | 9.03171 | − | 124.673i | 0.0722537 | − | 0.997386i | ||||
\(126\) | −83.6637 | − | 30.6330i | −0.663998 | − | 0.243119i | ||||
\(127\) | −78.4974 | + | 78.4974i | −0.618090 | + | 0.618090i | −0.945041 | − | 0.326951i | \(-0.893979\pi\) |
0.326951 | + | 0.945041i | \(0.393979\pi\) | |||||||
\(128\) | 2.92820 | + | 10.9282i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | −11.8363 | − | 69.4883i | −0.0917546 | − | 0.538669i | ||||
\(130\) | −1.76596 | + | 73.2452i | −0.0135843 | + | 0.563425i | ||||
\(131\) | 3.56339 | − | 6.17197i | 0.0272015 | − | 0.0471143i | −0.852104 | − | 0.523372i | \(-0.824674\pi\) |
0.879306 | + | 0.476258i | \(0.158007\pi\) | |||||||
\(132\) | 76.5307 | − | 35.1464i | 0.579778 | − | 0.266261i | ||||
\(133\) | −18.9591 | − | 194.880i | −0.142550 | − | 1.46526i | ||||
\(134\) | 132.521 | 0.988961 | ||||||||
\(135\) | −29.4932 | − | 131.739i | −0.218468 | − | 0.975844i | ||||
\(136\) | −22.2430 | + | 12.8420i | −0.163551 | + | 0.0944265i | ||||
\(137\) | 34.5562 | − | 128.965i | 0.252235 | − | 0.941353i | −0.717373 | − | 0.696689i | \(-0.754656\pi\) |
0.969608 | − | 0.244664i | \(-0.0786777\pi\) | |||||||
\(138\) | 12.9906 | − | 139.157i | 0.0941351 | − | 1.00838i | ||||
\(139\) | 176.979 | 1.27323 | 0.636615 | − | 0.771182i | \(-0.280334\pi\) | ||||
0.636615 | + | 0.771182i | \(0.280334\pi\) | |||||||
\(140\) | −5.09677 | − | 69.8142i | −0.0364055 | − | 0.498673i | ||||
\(141\) | −18.6217 | + | 50.2513i | −0.132069 | + | 0.356392i | ||||
\(142\) | 11.7054 | + | 43.6852i | 0.0824326 | + | 0.307643i | ||||
\(143\) | −37.6406 | + | 140.477i | −0.263221 | + | 0.982354i | ||||
\(144\) | 35.3780 | + | 6.66332i | 0.245680 | + | 0.0462731i | ||||
\(145\) | −20.1324 | + | 10.9852i | −0.138844 | + | 0.0757597i | ||||
\(146\) | 93.5228 | 0.640567 | ||||||||
\(147\) | −119.256 | + | 85.9471i | −0.811268 | + | 0.584674i | ||||
\(148\) | −53.6255 | − | 53.6255i | −0.362335 | − | 0.362335i | ||||
\(149\) | −26.7783 | + | 46.3813i | −0.179720 | + | 0.311284i | −0.941785 | − | 0.336217i | \(-0.890853\pi\) |
0.762065 | + | 0.647501i | \(0.224186\pi\) | |||||||
\(150\) | 84.8144 | − | 63.6908i | 0.565429 | − | 0.424605i | ||||
\(151\) | 40.7500 | + | 70.5810i | 0.269867 | + | 0.467424i | 0.968827 | − | 0.247737i | \(-0.0796868\pi\) |
−0.698960 | + | 0.715161i | \(0.746353\pi\) | |||||||
\(152\) | 20.4765 | + | 76.4193i | 0.134714 | + | 0.502759i | ||||
\(153\) | 6.17534 | + | 81.4923i | 0.0403617 | + | 0.532630i | ||||
\(154\) | 22.7977 | − | 137.065i | 0.148037 | − | 0.890034i | ||||
\(155\) | −94.4334 | + | 154.821i | −0.609248 | + | 0.998847i | ||||
\(156\) | −47.8556 | + | 39.6836i | −0.306767 | + | 0.254382i | ||||
\(157\) | 15.6803 | − | 58.5197i | 0.0998746 | − | 0.372737i | −0.897839 | − | 0.440324i | \(-0.854863\pi\) |
0.997713 | + | 0.0675872i | \(0.0215301\pi\) | |||||||
\(158\) | −74.0180 | − | 19.8331i | −0.468468 | − | 0.125526i | ||||
\(159\) | −156.555 | − | 188.795i | −0.984625 | − | 1.18739i | ||||
\(160\) | 6.65987 | + | 27.4890i | 0.0416242 | + | 0.171806i | ||||
\(161\) | −178.078 | − | 146.501i | −1.10607 | − | 0.909942i | ||||
\(162\) | 67.8691 | − | 92.2810i | 0.418945 | − | 0.569636i | ||||
\(163\) | 175.291 | − | 46.9691i | 1.07541 | − | 0.288154i | 0.322693 | − | 0.946504i | \(-0.395412\pi\) |
0.752712 | + | 0.658350i | \(0.228745\pi\) | |||||||
\(164\) | −92.3045 | + | 53.2920i | −0.562832 | + | 0.324951i | ||||
\(165\) | 193.389 | − | 83.2289i | 1.17205 | − | 0.504417i | ||||
\(166\) | 65.6541 | + | 37.9054i | 0.395506 | + | 0.228346i | ||||
\(167\) | −39.9775 | + | 39.9775i | −0.239386 | + | 0.239386i | −0.816596 | − | 0.577210i | \(-0.804142\pi\) |
0.577210 | + | 0.816596i | \(0.304142\pi\) | |||||||
\(168\) | 41.8360 | − | 42.1634i | 0.249024 | − | 0.250973i | ||||
\(169\) | 61.6404i | 0.364736i | ||||||||
\(170\) | −56.3652 | + | 30.7553i | −0.331560 | + | 0.180914i | ||||
\(171\) | 247.393 | + | 46.5956i | 1.44674 | + | 0.272489i | ||||
\(172\) | 45.3916 | + | 12.1626i | 0.263904 | + | 0.0707130i | ||||
\(173\) | −11.2771 | + | 3.02168i | −0.0651853 | + | 0.0174664i | −0.291264 | − | 0.956643i | \(-0.594076\pi\) |
0.226079 | + | 0.974109i | \(0.427409\pi\) | |||||||
\(174\) | −18.2479 | − | 6.76214i | −0.104873 | − | 0.0388629i | ||||
\(175\) | −8.53136 | − | 174.792i | −0.0487506 | − | 0.998811i | ||||
\(176\) | 56.1435i | 0.318997i | ||||||||
\(177\) | −27.8446 | − | 2.59937i | −0.157314 | − | 0.0146857i | ||||
\(178\) | −144.980 | − | 38.8472i | −0.814494 | − | 0.218243i | ||||
\(179\) | −39.1237 | − | 67.7642i | −0.218568 | − | 0.378571i | 0.735802 | − | 0.677196i | \(-0.236805\pi\) |
−0.954370 | + | 0.298625i | \(0.903472\pi\) | |||||||
\(180\) | 88.0177 | + | 18.7853i | 0.488987 | + | 0.104363i | ||||
\(181\) | − | 94.0811i | − | 0.519785i | −0.965638 | − | 0.259893i | \(-0.916313\pi\) | ||
0.965638 | − | 0.259893i | \(-0.0836872\pi\) | |||||||
\(182\) | 9.93206 | + | 102.091i | 0.0545718 | + | 0.560940i | ||||
\(183\) | −134.134 | − | 292.075i | −0.732974 | − | 1.59604i | ||||
\(184\) | 80.6914 | + | 46.5872i | 0.438540 | + | 0.253191i | ||||
\(185\) | −130.793 | − | 137.256i | −0.706992 | − | 0.741926i | ||||
\(186\) | −151.694 | + | 25.8390i | −0.815562 | + | 0.138919i | ||||
\(187\) | −123.112 | + | 32.9878i | −0.658354 | + | 0.176405i | ||||
\(188\) | −25.2629 | − | 25.2629i | −0.134377 | − | 0.134377i | ||||
\(189\) | −63.2662 | − | 178.097i | −0.334742 | − | 0.942310i | ||||
\(190\) | 46.5715 | + | 192.227i | 0.245113 | + | 1.01172i | ||||
\(191\) | −125.517 | − | 72.4674i | −0.657158 | − | 0.379410i | 0.134035 | − | 0.990977i | \(-0.457207\pi\) |
−0.791193 | + | 0.611566i | \(0.790540\pi\) | |||||||
\(192\) | −13.8799 | + | 19.5792i | −0.0722914 | + | 0.101975i | ||||
\(193\) | −58.1535 | + | 217.032i | −0.301313 | + | 1.12452i | 0.634759 | + | 0.772710i | \(0.281099\pi\) |
−0.936073 | + | 0.351807i | \(0.885567\pi\) | |||||||
\(194\) | −103.270 | − | 59.6232i | −0.532322 | − | 0.307336i | ||||
\(195\) | −121.995 | + | 96.2964i | −0.625618 | + | 0.493828i | ||||
\(196\) | −18.8893 | − | 96.1623i | −0.0963742 | − | 0.490624i | ||||
\(197\) | 218.003 | + | 218.003i | 1.10661 | + | 1.10661i | 0.993593 | + | 0.113020i | \(0.0360525\pi\) |
0.113020 | + | 0.993593i | \(0.463948\pi\) | |||||||
\(198\) | 161.021 | + | 77.3781i | 0.813235 | + | 0.390798i | ||||
\(199\) | 85.5652 | + | 148.203i | 0.429976 | + | 0.744740i | 0.996871 | − | 0.0790503i | \(-0.0251888\pi\) |
−0.566895 | + | 0.823790i | \(0.691855\pi\) | |||||||
\(200\) | 14.9884 | + | 69.1039i | 0.0749420 | + | 0.345519i | ||||
\(201\) | 179.444 | + | 216.397i | 0.892757 | + | 1.07660i | ||||
\(202\) | −120.798 | − | 120.798i | −0.598010 | − | 0.598010i | ||||
\(203\) | −26.1214 | + | 18.6711i | −0.128677 | + | 0.0919761i | ||||
\(204\) | −51.0889 | − | 18.9321i | −0.250436 | − | 0.0928044i | ||||
\(205\) | −233.906 | + | 127.629i | −1.14100 | + | 0.622582i | ||||
\(206\) | −90.8521 | − | 157.360i | −0.441029 | − | 0.763885i | ||||
\(207\) | 244.823 | − | 167.217i | 1.18272 | − | 0.807811i | ||||
\(208\) | −10.7270 | − | 40.0336i | −0.0515719 | − | 0.192469i | ||||
\(209\) | 392.604i | 1.87849i | ||||||||
\(210\) | 107.100 | − | 102.857i | 0.510001 | − | 0.489795i | ||||
\(211\) | −136.203 | −0.645510 | −0.322755 | − | 0.946483i | \(-0.604609\pi\) | ||||
−0.322755 | + | 0.946483i | \(0.604609\pi\) | |||||||
\(212\) | 157.936 | − | 42.3188i | 0.744981 | − | 0.199617i | ||||
\(213\) | −55.4848 | + | 78.2676i | −0.260492 | + | 0.367454i | ||||
\(214\) | −119.280 | + | 68.8663i | −0.557383 | + | 0.321805i | ||||
\(215\) | 112.713 | + | 33.1329i | 0.524247 | + | 0.154107i | ||||
\(216\) | 37.0240 | + | 66.7924i | 0.171407 | + | 0.309224i | ||||
\(217\) | −105.057 | + | 231.132i | −0.484135 | + | 1.06513i | ||||
\(218\) | −3.39838 | + | 3.39838i | −0.0155889 | + | 0.0155889i | ||||
\(219\) | 126.638 | + | 152.716i | 0.578254 | + | 0.697333i | ||||
\(220\) | −3.38310 | + | 140.318i | −0.0153777 | + | 0.637809i | ||||
\(221\) | 81.4833 | − | 47.0444i | 0.368703 | − | 0.212871i | ||||
\(222\) | 14.9532 | − | 160.180i | 0.0673569 | − | 0.721532i | ||||
\(223\) | −253.892 | + | 253.892i | −1.13853 | + | 1.13853i | −0.149814 | + | 0.988714i | \(0.547868\pi\) |
−0.988714 | + | 0.149814i | \(0.952132\pi\) | |||||||
\(224\) | 13.9041 | + | 37.0766i | 0.0620721 | + | 0.165521i | ||||
\(225\) | 218.848 | + | 52.2533i | 0.972659 | + | 0.232237i | ||||
\(226\) | 29.7534 | − | 51.5344i | 0.131652 | − | 0.228028i | ||||
\(227\) | 18.1203 | + | 4.85532i | 0.0798251 | + | 0.0213891i | 0.298511 | − | 0.954406i | \(-0.403510\pi\) |
−0.218685 | + | 0.975795i | \(0.570177\pi\) | |||||||
\(228\) | −97.0605 | + | 136.915i | −0.425704 | + | 0.600504i | ||||
\(229\) | −156.509 | + | 271.082i | −0.683446 | + | 1.18376i | 0.290477 | + | 0.956882i | \(0.406186\pi\) |
−0.973923 | + | 0.226881i | \(0.927147\pi\) | |||||||
\(230\) | 198.863 | + | 121.297i | 0.864621 | + | 0.527376i | ||||
\(231\) | 254.688 | − | 148.371i | 1.10254 | − | 0.642298i | ||||
\(232\) | 9.17377 | − | 9.17377i | 0.0395421 | − | 0.0395421i | ||||
\(233\) | −58.3274 | − | 217.681i | −0.250332 | − | 0.934253i | −0.970628 | − | 0.240585i | \(-0.922661\pi\) |
0.720296 | − | 0.693667i | \(-0.244006\pi\) | |||||||
\(234\) | −129.601 | − | 24.4099i | −0.553850 | − | 0.104316i | ||||
\(235\) | −61.6165 | − | 64.6611i | −0.262198 | − | 0.275154i | ||||
\(236\) | 9.32188 | − | 16.1460i | 0.0394995 | − | 0.0684152i | ||||
\(237\) | −67.8406 | − | 147.722i | −0.286247 | − | 0.623299i | ||||
\(238\) | −73.1325 | + | 52.2740i | −0.307279 | + | 0.219639i | ||||
\(239\) | 349.115 | 1.46073 | 0.730367 | − | 0.683055i | \(-0.239349\pi\) | ||||
0.730367 | + | 0.683055i | \(0.239349\pi\) | |||||||
\(240\) | −35.8696 | + | 48.0975i | −0.149457 | + | 0.200406i | ||||
\(241\) | −169.737 | + | 97.9974i | −0.704301 | + | 0.406628i | −0.808947 | − | 0.587881i | \(-0.799962\pi\) |
0.104646 | + | 0.994509i | \(0.466629\pi\) | |||||||
\(242\) | −27.8201 | + | 103.826i | −0.114959 | + | 0.429034i | ||||
\(243\) | 242.589 | − | 14.1308i | 0.998308 | − | 0.0581516i | ||||
\(244\) | 214.269 | 0.878151 | ||||||||
\(245\) | −41.4151 | − | 241.474i | −0.169041 | − | 0.985609i | ||||
\(246\) | −212.010 | − | 78.5649i | −0.861830 | − | 0.319369i | ||||
\(247\) | −75.0121 | − | 279.949i | −0.303693 | − | 1.13340i | ||||
\(248\) | 26.5513 | − | 99.0907i | 0.107062 | − | 0.399559i | ||||
\(249\) | 27.0043 | + | 158.536i | 0.108451 | + | 0.636689i | ||||
\(250\) | 33.2960 | + | 173.613i | 0.133184 | + | 0.694451i | ||||
\(251\) | 325.764 | 1.29787 | 0.648933 | − | 0.760846i | \(-0.275216\pi\) | ||||
0.648933 | + | 0.760846i | \(0.275216\pi\) | |||||||
\(252\) | 125.499 | + | 11.2224i | 0.498013 | + | 0.0445332i | ||||
\(253\) | 326.946 | + | 326.946i | 1.29228 | + | 1.29228i | ||||
\(254\) | 78.4974 | − | 135.961i | 0.309045 | − | 0.535281i | ||||
\(255\) | −126.544 | − | 50.3950i | −0.496253 | − | 0.197627i | ||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 58.8466 | + | 219.618i | 0.228975 | + | 0.854547i | 0.980773 | + | 0.195153i | \(0.0625203\pi\) |
−0.751798 | + | 0.659394i | \(0.770813\pi\) | |||||||
\(258\) | 41.6032 | + | 90.5904i | 0.161253 | + | 0.351126i | ||||
\(259\) | −204.981 | − | 168.634i | −0.791433 | − | 0.651095i | ||||
\(260\) | −24.3973 | − | 100.701i | −0.0938356 | − | 0.387312i | ||||
\(261\) | −13.6671 | − | 38.9540i | −0.0523642 | − | 0.149249i | ||||
\(262\) | −2.60858 | + | 9.73537i | −0.00995643 | + | 0.0371579i | ||||
\(263\) | −491.050 | − | 131.577i | −1.86711 | − | 0.500291i | −0.999998 | − | 0.00218051i | \(-0.999306\pi\) |
−0.867114 | − | 0.498110i | \(-0.834027\pi\) | |||||||
\(264\) | −91.6784 | + | 76.0230i | −0.347267 | + | 0.287966i | ||||
\(265\) | 397.275 | − | 96.2494i | 1.49915 | − | 0.363205i | ||||
\(266\) | 97.2297 | + | 259.271i | 0.365525 | + | 0.974704i | ||||
\(267\) | −132.880 | − | 289.344i | −0.497678 | − | 1.08369i | ||||
\(268\) | −181.027 | + | 48.5060i | −0.675473 | + | 0.180992i | ||||
\(269\) | 131.175 | − | 75.7340i | 0.487640 | − | 0.281539i | −0.235955 | − | 0.971764i | \(-0.575822\pi\) |
0.723595 | + | 0.690225i | \(0.242488\pi\) | |||||||
\(270\) | 88.5083 | + | 169.163i | 0.327808 | + | 0.626531i | ||||
\(271\) | 151.089 | + | 87.2311i | 0.557523 | + | 0.321886i | 0.752151 | − | 0.658991i | \(-0.229017\pi\) |
−0.194628 | + | 0.980877i | \(0.562350\pi\) | |||||||
\(272\) | 25.6840 | − | 25.6840i | 0.0944265 | − | 0.0944265i | ||||
\(273\) | −153.259 | + | 154.458i | −0.561387 | + | 0.565781i | ||||
\(274\) | 188.818i | 0.689119i | ||||||||
\(275\) | −16.9106 | + | 350.489i | −0.0614931 | + | 1.27451i | ||||
\(276\) | 33.1893 | + | 194.846i | 0.120251 | + | 0.705965i | ||||
\(277\) | −166.813 | − | 44.6974i | −0.602213 | − | 0.161362i | −0.0551838 | − | 0.998476i | \(-0.517574\pi\) |
−0.547029 | + | 0.837114i | \(0.684241\pi\) | |||||||
\(278\) | −241.758 | + | 64.7788i | −0.869633 | + | 0.233017i | ||||
\(279\) | −247.600 | − | 212.718i | −0.887456 | − | 0.762431i | ||||
\(280\) | 32.5161 | + | 93.5024i | 0.116129 | + | 0.333937i | ||||
\(281\) | − | 388.064i | − | 1.38101i | −0.723328 | − | 0.690505i | \(-0.757388\pi\) | ||
0.723328 | − | 0.690505i | \(-0.242612\pi\) | |||||||
\(282\) | 7.04444 | − | 75.4605i | 0.0249803 | − | 0.267591i | ||||
\(283\) | 271.424 | + | 72.7278i | 0.959095 | + | 0.256989i | 0.704217 | − | 0.709985i | \(-0.251298\pi\) |
0.254878 | + | 0.966973i | \(0.417965\pi\) | |||||||
\(284\) | −31.9798 | − | 55.3907i | −0.112605 | − | 0.195038i | ||||
\(285\) | −250.831 | + | 336.339i | −0.880108 | + | 1.18014i | ||||
\(286\) | − | 205.672i | − | 0.719133i | ||||||
\(287\) | −303.487 | + | 216.928i | −1.05745 | + | 0.755846i | ||||
\(288\) | −50.7661 | + | 3.84697i | −0.176271 | + | 0.0133575i | ||||
\(289\) | −178.870 | − | 103.271i | −0.618928 | − | 0.357338i | ||||
\(290\) | 23.4806 | − | 22.3750i | 0.0809675 | − | 0.0771551i | ||||
\(291\) | −42.4763 | − | 249.368i | −0.145967 | − | 0.856935i | ||||
\(292\) | −127.754 | + | 34.2317i | −0.437515 | + | 0.117232i | ||||
\(293\) | −214.301 | − | 214.301i | −0.731402 | − | 0.731402i | 0.239496 | − | 0.970897i | \(-0.423018\pi\) |
−0.970897 | + | 0.239496i | \(0.923018\pi\) | |||||||
\(294\) | 131.449 | − | 161.057i | 0.447104 | − | 0.547812i | ||||
\(295\) | 24.2709 | − | 39.7915i | 0.0822741 | − | 0.134886i | ||||
\(296\) | 92.8821 | + | 53.6255i | 0.313791 | + | 0.181167i | ||||
\(297\) | 91.6824 | + | 367.712i | 0.308695 | + | 1.23809i | ||||
\(298\) | 19.6031 | − | 73.1596i | 0.0657821 | − | 0.245502i | ||||
\(299\) | −295.599 | − | 170.664i | −0.988625 | − | 0.570783i | ||||
\(300\) | −92.5462 | + | 118.047i | −0.308487 | + | 0.393491i | ||||
\(301\) | 162.246 | + | 26.9859i | 0.539023 | + | 0.0896541i | ||||
\(302\) | −81.5000 | − | 81.5000i | −0.269867 | − | 0.269867i | ||||
\(303\) | 33.6840 | − | 360.825i | 0.111168 | − | 1.19084i | ||||
\(304\) | −55.9428 | − | 96.8958i | −0.184022 | − | 0.318736i | ||||
\(305\) | 535.516 | + | 12.9114i | 1.75579 | + | 0.0423325i | ||||
\(306\) | −38.2639 | − | 109.060i | −0.125046 | − | 0.356406i | ||||
\(307\) | 78.8782 | + | 78.8782i | 0.256932 | + | 0.256932i | 0.823805 | − | 0.566873i | \(-0.191847\pi\) |
−0.566873 | + | 0.823805i | \(0.691847\pi\) | |||||||
\(308\) | 19.0272 | + | 195.579i | 0.0617765 | + | 0.634997i | ||||
\(309\) | 133.937 | − | 361.434i | 0.433453 | − | 1.16969i | ||||
\(310\) | 72.3299 | − | 246.055i | 0.233322 | − | 0.793725i | ||||
\(311\) | 160.628 | + | 278.216i | 0.516489 | + | 0.894586i | 0.999817 | + | 0.0191459i | \(0.00609470\pi\) |
−0.483328 | + | 0.875440i | \(0.660572\pi\) | |||||||
\(312\) | 50.8468 | − | 71.7251i | 0.162970 | − | 0.229888i | ||||
\(313\) | −110.352 | − | 411.838i | −0.352561 | − | 1.31578i | −0.883526 | − | 0.468383i | \(-0.844837\pi\) |
0.530964 | − | 0.847394i | \(-0.321830\pi\) | |||||||
\(314\) | 85.6788i | 0.272863i | ||||||||
\(315\) | 312.981 | + | 35.6101i | 0.993590 | + | 0.113048i | ||||
\(316\) | 108.370 | 0.342943 | ||||||||
\(317\) | −91.8343 | + | 24.6069i | −0.289698 | + | 0.0776243i | −0.400741 | − | 0.916191i | \(-0.631247\pi\) |
0.111043 | + | 0.993816i | \(0.464581\pi\) | |||||||
\(318\) | 282.962 | + | 200.595i | 0.889819 | + | 0.630802i | ||||
\(319\) | 55.7556 | − | 32.1905i | 0.174782 | − | 0.100911i | ||||
\(320\) | −19.1592 | − | 35.1130i | −0.0598726 | − | 0.109728i | ||||
\(321\) | −273.969 | − | 101.525i | −0.853485 | − | 0.316277i | ||||
\(322\) | 296.881 | + | 134.943i | 0.921992 | + | 0.419076i | ||||
\(323\) | 179.604 | − | 179.604i | 0.556051 | − | 0.556051i | ||||
\(324\) | −58.9337 | + | 150.900i | −0.181894 | + | 0.465741i | ||||
\(325\) | −54.9074 | − | 253.150i | −0.168946 | − | 0.778923i | ||||
\(326\) | −222.260 | + | 128.322i | −0.681780 | + | 0.393626i | ||||
\(327\) | −10.1510 | − | 0.947624i | −0.0310429 | − | 0.00289793i | ||||
\(328\) | 106.584 | − | 106.584i | 0.324951 | − | 0.324951i | ||||
\(329\) | −96.5662 | − | 79.4429i | −0.293514 | − | 0.241468i | ||||
\(330\) | −233.710 | + | 184.478i | −0.708214 | + | 0.559024i | ||||
\(331\) | −304.012 | + | 526.564i | −0.918465 | + | 1.59083i | −0.116718 | + | 0.993165i | \(0.537238\pi\) |
−0.801747 | + | 0.597664i | \(0.796096\pi\) | |||||||
\(332\) | −103.559 | − | 27.7487i | −0.311926 | − | 0.0835804i | ||||
\(333\) | 281.811 | − | 192.480i | 0.846279 | − | 0.578017i | ||||
\(334\) | 39.9775 | − | 69.2431i | 0.119693 | − | 0.207315i | ||||
\(335\) | −455.358 | + | 110.321i | −1.35928 | + | 0.329317i | ||||
\(336\) | −41.7161 | + | 72.9093i | −0.124155 | + | 0.216992i | ||||
\(337\) | 153.881 | − | 153.881i | 0.456620 | − | 0.456620i | −0.440924 | − | 0.897544i | \(-0.645349\pi\) |
0.897544 | + | 0.440924i | \(0.145349\pi\) | |||||||
\(338\) | −22.5620 | − | 84.2024i | −0.0667514 | − | 0.249120i | ||||
\(339\) | 124.441 | − | 21.1967i | 0.367081 | − | 0.0625271i | ||||
\(340\) | 65.7390 | − | 62.6437i | 0.193350 | − | 0.184246i | ||||
\(341\) | 254.539 | − | 440.874i | 0.746448 | − | 1.29289i | ||||
\(342\) | −355.000 | + | 26.9013i | −1.03801 | + | 0.0786587i | ||||
\(343\) | −98.3916 | − | 328.585i | −0.286856 | − | 0.957974i | ||||
\(344\) | −66.4578 | −0.193191 | ||||||||
\(345\) | 71.2081 | + | 488.974i | 0.206400 | + | 1.41732i | ||||
\(346\) | 14.2987 | − | 8.25538i | 0.0413258 | − | 0.0238595i | ||||
\(347\) | 21.2896 | − | 79.4540i | 0.0613534 | − | 0.228974i | −0.928440 | − | 0.371482i | \(-0.878850\pi\) |
0.989794 | + | 0.142508i | \(0.0455165\pi\) | |||||||
\(348\) | 27.4022 | + | 2.55807i | 0.0787419 | + | 0.00735076i | ||||
\(349\) | 279.527 | 0.800938 | 0.400469 | − | 0.916310i | \(-0.368847\pi\) | ||||
0.400469 | + | 0.916310i | \(0.368847\pi\) | |||||||
\(350\) | 75.6323 | + | 235.648i | 0.216092 | + | 0.673279i | ||||
\(351\) | −135.631 | − | 244.682i | −0.386413 | − | 0.697100i | ||||
\(352\) | −20.5500 | − | 76.6935i | −0.0583806 | − | 0.217879i | ||||
\(353\) | −77.6841 | + | 289.921i | −0.220068 | + | 0.821306i | 0.764252 | + | 0.644917i | \(0.223108\pi\) |
−0.984321 | + | 0.176389i | \(0.943558\pi\) | |||||||
\(354\) | 38.9878 | − | 6.64103i | 0.110135 | − | 0.0187600i | ||||
\(355\) | −76.5886 | − | 140.363i | −0.215742 | − | 0.395390i | ||||
\(356\) | 212.265 | 0.596251 | ||||||||
\(357\) | −184.387 | − | 48.6368i | −0.516491 | − | 0.136238i | ||||
\(358\) | 78.2474 | + | 78.2474i | 0.218568 | + | 0.218568i | ||||
\(359\) | −52.1344 | + | 90.2994i | −0.145221 | + | 0.251530i | −0.929455 | − | 0.368934i | \(-0.879723\pi\) |
0.784234 | + | 0.620465i | \(0.213056\pi\) | |||||||
\(360\) | −127.110 | + | 6.55555i | −0.353084 | + | 0.0182099i | ||||
\(361\) | −210.700 | − | 364.943i | −0.583657 | − | 1.01092i | ||||
\(362\) | 34.4361 | + | 128.517i | 0.0951273 | + | 0.355020i | ||||
\(363\) | −207.212 | + | 95.1610i | −0.570831 | + | 0.262152i | ||||
\(364\) | −50.9354 | − | 135.824i | −0.139932 | − | 0.373142i | ||||
\(365\) | −321.356 | + | 77.8562i | −0.880428 | + | 0.213305i | ||||
\(366\) | 290.138 | + | 349.886i | 0.792726 | + | 0.955972i | ||||
\(367\) | −39.8751 | + | 148.816i | −0.108652 | + | 0.405493i | −0.998734 | − | 0.0503067i | \(-0.983980\pi\) |
0.890082 | + | 0.455800i | \(0.150647\pi\) | |||||||
\(368\) | −127.279 | − | 34.1042i | −0.345866 | − | 0.0926745i | ||||
\(369\) | −158.789 | − | 452.581i | −0.430321 | − | 1.22651i | ||||
\(370\) | 228.907 | + | 139.622i | 0.618666 | + | 0.377356i | ||||
\(371\) | 535.837 | − | 200.945i | 1.44430 | − | 0.541630i | ||||
\(372\) | 197.761 | − | 90.8208i | 0.531615 | − | 0.244142i | ||||
\(373\) | −18.8574 | + | 5.05282i | −0.0505560 | + | 0.0135464i | −0.284008 | − | 0.958822i | \(-0.591664\pi\) |
0.233452 | + | 0.972368i | \(0.424998\pi\) | |||||||
\(374\) | 156.100 | − | 90.1244i | 0.417380 | − | 0.240974i | ||||
\(375\) | −238.412 | + | 289.456i | −0.635764 | + | 0.771883i | ||||
\(376\) | 43.7566 | + | 25.2629i | 0.116374 | + | 0.0671885i | ||||
\(377\) | −33.6065 | + | 33.6065i | −0.0891419 | + | 0.0891419i | ||||
\(378\) | 151.611 | + | 220.127i | 0.401088 | + | 0.582348i | ||||
\(379\) | − | 71.4414i | − | 0.188500i | −0.995549 | − | 0.0942499i | \(-0.969955\pi\) | ||
0.995549 | − | 0.0942499i | \(-0.0300453\pi\) | |||||||
\(380\) | −133.978 | − | 245.540i | −0.352573 | − | 0.646159i | ||||
\(381\) | 328.307 | − | 55.9225i | 0.861699 | − | 0.146778i | ||||
\(382\) | 197.985 | + | 53.0498i | 0.518284 | + | 0.138874i | ||||
\(383\) | −245.607 | + | 65.8101i | −0.641271 | + | 0.171828i | −0.564779 | − | 0.825242i | \(-0.691039\pi\) |
−0.0764917 | + | 0.997070i | \(0.524372\pi\) | |||||||
\(384\) | 11.7939 | − | 31.8262i | 0.0307132 | − | 0.0828806i | ||||
\(385\) | 35.7689 | + | 489.952i | 0.0929061 | + | 1.27260i | ||||
\(386\) | − | 317.757i | − | 0.823204i | ||||||
\(387\) | −91.5934 | + | 190.602i | −0.236676 | + | 0.492512i | ||||
\(388\) | 162.894 | + | 43.6472i | 0.419829 | + | 0.112493i | ||||
\(389\) | −52.9324 | − | 91.6816i | −0.136073 | − | 0.235685i | 0.789934 | − | 0.613192i | \(-0.210115\pi\) |
−0.926007 | + | 0.377507i | \(0.876782\pi\) | |||||||
\(390\) | 131.402 | − | 176.197i | 0.336928 | − | 0.451787i | ||||
\(391\) | − | 299.137i | − | 0.765055i | ||||||
\(392\) | 61.0012 | + | 124.446i | 0.155615 | + | 0.317465i | ||||
\(393\) | −19.4294 | + | 8.92287i | −0.0494387 | + | 0.0227045i | ||||
\(394\) | −377.592 | − | 218.003i | −0.958355 | − | 0.553306i | ||||
\(395\) | 270.846 | + | 6.53016i | 0.685686 | + | 0.0165321i | ||||
\(396\) | −248.280 | − | 46.7628i | −0.626971 | − | 0.118088i | ||||
\(397\) | 255.776 | − | 68.5350i | 0.644273 | − | 0.172632i | 0.0781346 | − | 0.996943i | \(-0.475104\pi\) |
0.566138 | + | 0.824310i | \(0.308437\pi\) | |||||||
\(398\) | −171.130 | − | 171.130i | −0.429976 | − | 0.429976i | ||||
\(399\) | −291.715 | + | 509.844i | −0.731114 | + | 1.27781i | ||||
\(400\) | −45.7683 | − | 88.9115i | −0.114421 | − | 0.222279i | ||||
\(401\) | 455.660 | + | 263.075i | 1.13631 | + | 0.656048i | 0.945514 | − | 0.325582i | \(-0.105560\pi\) |
0.190795 | + | 0.981630i | \(0.438893\pi\) | |||||||
\(402\) | −324.332 | − | 229.923i | −0.806796 | − | 0.571947i | ||||
\(403\) | −97.2659 | + | 363.001i | −0.241355 | + | 0.900748i | ||||
\(404\) | 209.228 | + | 120.798i | 0.517892 | + | 0.299005i | ||||
\(405\) | −156.384 | + | 373.589i | −0.386134 | + | 0.922443i | ||||
\(406\) | 28.8483 | − | 35.0663i | 0.0710550 | − | 0.0863703i | ||||
\(407\) | 376.341 | + | 376.341i | 0.924670 | + | 0.924670i | ||||
\(408\) | 76.7184 | + | 7.16187i | 0.188035 | + | 0.0175536i | ||||
\(409\) | −156.655 | − | 271.335i | −0.383020 | − | 0.663410i | 0.608473 | − | 0.793575i | \(-0.291783\pi\) |
−0.991492 | + | 0.130165i | \(0.958449\pi\) | |||||||
\(410\) | 272.805 | − | 259.960i | 0.665379 | − | 0.634049i | ||||
\(411\) | −308.327 | + | 255.676i | −0.750188 | + | 0.622083i | ||||
\(412\) | 181.704 | + | 181.704i | 0.441029 | + | 0.441029i | ||||
\(413\) | 27.0014 | − | 59.4046i | 0.0653786 | − | 0.143837i | ||||
\(414\) | −273.229 | + | 318.034i | −0.659974 | + | 0.768198i | ||||
\(415\) | −257.151 | − | 75.5918i | −0.619642 | − | 0.182149i | ||||
\(416\) | 29.3066 | + | 50.7605i | 0.0704485 | + | 0.122020i | ||||
\(417\) | −433.140 | − | 307.058i | −1.03870 | − | 0.736349i | ||||
\(418\) | −143.703 | − | 536.307i | −0.343787 | − | 1.28303i | ||||
\(419\) | − | 85.6100i | − | 0.204320i | −0.994768 | − | 0.102160i | \(-0.967425\pi\) | ||
0.994768 | − | 0.102160i | \(-0.0325753\pi\) | |||||||
\(420\) | −108.653 | + | 179.707i | −0.258698 | + | 0.427873i | ||||
\(421\) | −159.411 | −0.378647 | −0.189324 | − | 0.981915i | \(-0.560630\pi\) | ||||
−0.189324 | + | 0.981915i | \(0.560630\pi\) | |||||||
\(422\) | 186.056 | − | 49.8536i | 0.440891 | − | 0.118137i | ||||
\(423\) | 132.760 | − | 90.6768i | 0.313855 | − | 0.214366i | ||||
\(424\) | −200.255 | + | 115.617i | −0.472299 | + | 0.272682i | ||||
\(425\) | 168.075 | − | 152.602i | 0.395470 | − | 0.359064i | ||||
\(426\) | 47.1457 | − | 127.224i | 0.110671 | − | 0.298649i | ||||
\(427\) | 746.417 | − | 72.6161i | 1.74805 | − | 0.170061i | ||||
\(428\) | 137.733 | − | 137.733i | 0.321805 | − | 0.321805i | ||||
\(429\) | 335.848 | − | 278.497i | 0.782862 | − | 0.649177i | ||||
\(430\) | −166.096 | − | 4.00462i | −0.386271 | − | 0.00931307i | ||||
\(431\) | −497.020 | + | 286.955i | −1.15318 | + | 0.665788i | −0.949660 | − | 0.313283i | \(-0.898571\pi\) |
−0.203519 | + | 0.979071i | \(0.565238\pi\) | |||||||
\(432\) | −75.0234 | − | 77.6884i | −0.173665 | − | 0.179834i | ||||
\(433\) | 442.590 | − | 442.590i | 1.02215 | − | 1.02215i | 0.0223976 | − | 0.999749i | \(-0.492870\pi\) |
0.999749 | − | 0.0223976i | \(-0.00712997\pi\) | |||||||
\(434\) | 58.9108 | − | 354.186i | 0.135739 | − | 0.816097i | ||||
\(435\) | 68.3314 | + | 8.04451i | 0.157084 | + | 0.0184931i | ||||
\(436\) | 3.39838 | − | 5.88617i | 0.00779446 | − | 0.0135004i | ||||
\(437\) | −890.041 | − | 238.486i | −2.03671 | − | 0.545734i | ||||
\(438\) | −228.888 | − | 162.261i | −0.522576 | − | 0.370460i | ||||
\(439\) | 291.416 | − | 504.748i | 0.663818 | − | 1.14977i | −0.315786 | − | 0.948830i | \(-0.602268\pi\) |
0.979604 | − | 0.200936i | \(-0.0643984\pi\) | |||||||
\(440\) | −46.7386 | − | 192.916i | −0.106224 | − | 0.438446i | ||||
\(441\) | 440.987 | − | 3.43820i | 0.999970 | − | 0.00779637i | ||||
\(442\) | −94.0888 | + | 94.0888i | −0.212871 | + | 0.212871i | ||||
\(443\) | 184.866 | + | 689.927i | 0.417304 | + | 1.55740i | 0.780176 | + | 0.625560i | \(0.215129\pi\) |
−0.362873 | + | 0.931839i | \(0.618204\pi\) | |||||||
\(444\) | 38.2035 | + | 224.283i | 0.0860439 | + | 0.505143i | ||||
\(445\) | 530.509 | + | 12.7907i | 1.19215 | + | 0.0287431i | ||||
\(446\) | 253.892 | − | 439.754i | 0.569264 | − | 0.985995i | ||||
\(447\) | 146.009 | − | 67.0538i | 0.326641 | − | 0.150009i | ||||
\(448\) | −32.5644 | − | 45.5583i | −0.0726884 | − | 0.101693i | ||||
\(449\) | −858.570 | −1.91218 | −0.956092 | − | 0.293067i | \(-0.905324\pi\) | ||||
−0.956092 | + | 0.293067i | \(0.905324\pi\) | |||||||
\(450\) | −318.078 | + | 8.72469i | −0.706841 | + | 0.0193882i | ||||
\(451\) | 647.788 | − | 374.000i | 1.43634 | − | 0.829269i | ||||
\(452\) | −21.7810 | + | 81.2877i | −0.0481880 | + | 0.179840i | ||||
\(453\) | 22.7259 | − | 243.441i | 0.0501676 | − | 0.537398i | ||||
\(454\) | −26.5300 | −0.0584360 | ||||||||
\(455\) | −119.117 | − | 342.530i | −0.261796 | − | 0.752813i | ||||
\(456\) | 82.4728 | − | 222.556i | 0.180861 | − | 0.488061i | ||||
\(457\) | −83.5129 | − | 311.674i | −0.182742 | − | 0.682001i | −0.995103 | − | 0.0988461i | \(-0.968485\pi\) |
0.812361 | − | 0.583155i | \(-0.198182\pi\) | |||||||
\(458\) | 114.573 | − | 427.591i | 0.250158 | − | 0.933604i | ||||
\(459\) | 126.275 | − | 210.159i | 0.275109 | − | 0.457863i | ||||
\(460\) | −316.049 | − | 92.9053i | −0.687063 | − | 0.201968i | ||||
\(461\) | 77.0717 | 0.167184 | 0.0835919 | − | 0.996500i | \(-0.473361\pi\) | ||||
0.0835919 | + | 0.996500i | \(0.473361\pi\) | |||||||
\(462\) | −293.602 | + | 295.900i | −0.635503 | + | 0.640477i | ||||
\(463\) | 482.802 | + | 482.802i | 1.04277 | + | 1.04277i | 0.999044 | + | 0.0437260i | \(0.0139228\pi\) |
0.0437260 | + | 0.999044i | \(0.486077\pi\) | |||||||
\(464\) | −9.17377 | + | 15.8894i | −0.0197711 | + | 0.0342445i | ||||
\(465\) | 499.731 | − | 215.069i | 1.07469 | − | 0.462515i | ||||
\(466\) | 159.353 | + | 276.008i | 0.341960 | + | 0.592292i | ||||
\(467\) | 195.115 | + | 728.178i | 0.417805 | + | 1.55927i | 0.779151 | + | 0.626836i | \(0.215650\pi\) |
−0.361347 | + | 0.932432i | \(0.617683\pi\) | |||||||
\(468\) | 185.973 | − | 14.0927i | 0.397378 | − | 0.0301126i | ||||
\(469\) | −614.177 | + | 230.323i | −1.30955 | + | 0.491095i | ||||
\(470\) | 107.837 | + | 65.7755i | 0.229441 | + | 0.139948i | ||||
\(471\) | −139.907 | + | 116.016i | −0.297043 | + | 0.246319i | ||||
\(472\) | −6.82409 | + | 25.4679i | −0.0144578 | + | 0.0539573i | ||||
\(473\) | −318.555 | − | 85.3566i | −0.673478 | − | 0.180458i | ||||
\(474\) | 146.742 | + | 176.960i | 0.309582 | + | 0.373334i | ||||
\(475\) | −320.051 | − | 621.745i | −0.673792 | − | 1.30894i | ||||
\(476\) | 80.7672 | − | 98.1759i | 0.169679 | − | 0.206252i | ||||
\(477\) | 55.5969 | + | 733.680i | 0.116555 | + | 1.53811i | ||||
\(478\) | −476.900 | + | 127.785i | −0.997700 | + | 0.267333i | ||||
\(479\) | 582.226 | − | 336.148i | 1.21550 | − | 0.701771i | 0.251550 | − | 0.967844i | \(-0.419060\pi\) |
0.963953 | + | 0.266073i | \(0.0857264\pi\) | |||||||
\(480\) | 31.3939 | − | 78.8316i | 0.0654039 | − | 0.164233i | ||||
\(481\) | −340.257 | − | 196.448i | −0.707396 | − | 0.408415i | ||||
\(482\) | 195.995 | − | 195.995i | 0.406628 | − | 0.406628i | ||||
\(483\) | 181.651 | + | 667.510i | 0.376088 | + | 1.38201i | ||||
\(484\) | − | 152.012i | − | 0.314075i | ||||||
\(485\) | 404.485 | + | 118.902i | 0.833991 | + | 0.245159i | ||||
\(486\) | −326.210 | + | 108.097i | −0.671214 | + | 0.222421i | ||||
\(487\) | 143.279 | + | 38.3915i | 0.294207 | + | 0.0788326i | 0.402904 | − | 0.915242i | \(-0.368001\pi\) |
−0.108696 | + | 0.994075i | \(0.534668\pi\) | |||||||
\(488\) | −292.697 | + | 78.4278i | −0.599788 | + | 0.160713i | ||||
\(489\) | −510.500 | − | 189.176i | −1.04397 | − | 0.386864i | ||||
\(490\) | 144.960 | + | 314.701i | 0.295836 | + | 0.642247i | ||||
\(491\) | 450.687i | 0.917895i | 0.888463 | + | 0.458948i | \(0.151773\pi\) | ||||
−0.888463 | + | 0.458948i | \(0.848227\pi\) | |||||||
\(492\) | 318.368 | + | 29.7205i | 0.647089 | + | 0.0604075i | ||||
\(493\) | −40.2327 | − | 10.7803i | −0.0816080 | − | 0.0218668i | ||||
\(494\) | 204.937 | + | 354.961i | 0.414852 | + | 0.718544i | ||||
\(495\) | −617.703 | − | 131.834i | −1.24788 | − | 0.266331i | ||||
\(496\) | 145.079i | 0.292498i | ||||||||
\(497\) | −130.175 | − | 182.118i | −0.261922 | − | 0.366435i | ||||
\(498\) | −94.9166 | − | 206.679i | −0.190596 | − | 0.415019i | ||||
\(499\) | 209.835 | + | 121.149i | 0.420512 | + | 0.242783i | 0.695296 | − | 0.718723i | \(-0.255273\pi\) |
−0.274784 | + | 0.961506i | \(0.588606\pi\) | |||||||
\(500\) | −109.030 | − | 224.972i | −0.218060 | − | 0.449944i | ||||
\(501\) | 167.202 | − | 28.4805i | 0.333736 | − | 0.0568472i | ||||
\(502\) | −445.002 | + | 119.238i | −0.886459 | + | 0.237526i | ||||
\(503\) | −229.981 | − | 229.981i | −0.457218 | − | 0.457218i | 0.440523 | − | 0.897741i | \(-0.354793\pi\) |
−0.897741 | + | 0.440523i | \(0.854793\pi\) | |||||||
\(504\) | −175.543 | + | 30.6059i | −0.348299 | + | 0.0607259i | ||||
\(505\) | 515.640 | + | 314.515i | 1.02107 | + | 0.622802i | ||||
\(506\) | −566.288 | − | 326.946i | −1.11915 | − | 0.646139i | ||||
\(507\) | 106.946 | − | 150.859i | 0.210938 | − | 0.297553i | ||||
\(508\) | −57.4641 | + | 214.459i | −0.113118 | + | 0.422163i | ||||
\(509\) | 286.808 | + | 165.589i | 0.563474 | + | 0.325322i | 0.754539 | − | 0.656255i | \(-0.227861\pi\) |
−0.191064 | + | 0.981577i | \(0.561194\pi\) | |||||||
\(510\) | 191.309 | + | 22.5224i | 0.375115 | + | 0.0441615i | ||||
\(511\) | −433.438 | + | 162.544i | −0.848216 | + | 0.318090i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −524.628 | − | 543.264i | −1.02267 | − | 1.05899i | ||||
\(514\) | −160.772 | − | 278.465i | −0.312786 | − | 0.541761i | ||||
\(515\) | 443.179 | + | 465.078i | 0.860542 | + | 0.903063i | ||||
\(516\) | −89.9895 | − | 108.521i | −0.174398 | − | 0.210312i | ||||
\(517\) | 177.293 | + | 177.293i | 0.342927 | + | 0.342927i | ||||
\(518\) | 341.734 | + | 155.329i | 0.659718 | + | 0.299864i | ||||
\(519\) | 32.8421 | + | 12.1704i | 0.0632797 | + | 0.0234496i | ||||
\(520\) | 70.1865 | + | 128.630i | 0.134974 | + | 0.247366i | ||||
\(521\) | 116.117 | + | 201.121i | 0.222874 | + | 0.386029i | 0.955680 | − | 0.294409i | \(-0.0951228\pi\) |
−0.732805 | + | 0.680438i | \(0.761789\pi\) | |||||||
\(522\) | 32.9277 | + | 48.2097i | 0.0630799 | + | 0.0923557i | ||||
\(523\) | 79.8784 | + | 298.110i | 0.152731 | + | 0.570001i | 0.999289 | + | 0.0377037i | \(0.0120043\pi\) |
−0.846558 | + | 0.532297i | \(0.821329\pi\) | |||||||
\(524\) | − | 14.2536i | − | 0.0272015i | ||||||
\(525\) | −282.383 | + | 442.589i | −0.537873 | + | 0.843026i | ||||
\(526\) | 718.947 | 1.36682 | ||||||||
\(527\) | −318.131 | + | 85.2429i | −0.603664 | + | 0.161751i | ||||
\(528\) | 97.4087 | − | 137.406i | 0.184486 | − | 0.260239i | ||||
\(529\) | −481.670 | + | 278.092i | −0.910530 | + | 0.525695i | ||||
\(530\) | −507.459 | + | 276.892i | −0.957469 | + | 0.522438i | ||||
\(531\) | 63.6371 | + | 54.6719i | 0.119844 | + | 0.102960i | ||||
\(532\) | −227.718 | − | 318.583i | −0.428041 | − | 0.598840i | ||||
\(533\) | −390.452 | + | 390.452i | −0.732555 | + | 0.732555i | ||||
\(534\) | 287.425 | + | 346.614i | 0.538249 | + | 0.649090i | ||||
\(535\) | 352.531 | − | 335.932i | 0.658936 | − | 0.627910i | ||||
\(536\) | 229.533 | − | 132.521i | 0.428233 | − | 0.247240i | ||||
\(537\) | −21.8189 | + | 233.726i | −0.0406312 | + | 0.435244i | ||||
\(538\) | −151.468 | + | 151.468i | −0.281539 | + | 0.281539i | ||||
\(539\) | 132.564 | + | 674.862i | 0.245945 | + | 1.25206i | ||||
\(540\) | −182.823 | − | 198.685i | −0.338561 | − | 0.367936i | ||||
\(541\) | −409.572 | + | 709.400i | −0.757065 | + | 1.31128i | 0.187275 | + | 0.982307i | \(0.440034\pi\) |
−0.944341 | + | 0.328968i | \(0.893299\pi\) | |||||||
\(542\) | −238.320 | − | 63.8576i | −0.439704 | − | 0.117818i | ||||
\(543\) | −163.230 | + | 230.255i | −0.300608 | + | 0.424042i | ||||
\(544\) | −25.6840 | + | 44.4860i | −0.0472132 | + | 0.0817757i | ||||
\(545\) | 8.84818 | − | 14.5064i | 0.0162352 | − | 0.0266172i | ||||
\(546\) | 152.820 | − | 267.090i | 0.279889 | − | 0.489177i | ||||
\(547\) | 9.65732 | − | 9.65732i | 0.0176551 | − | 0.0176551i | −0.698224 | − | 0.715879i | \(-0.746026\pi\) |
0.715879 | + | 0.698224i | \(0.246026\pi\) | |||||||
\(548\) | −69.1124 | − | 257.931i | −0.126117 | − | 0.470677i | ||||
\(549\) | −178.468 | + | 947.549i | −0.325078 | + | 1.72595i | ||||
\(550\) | −105.188 | − | 484.967i | −0.191250 | − | 0.881758i | ||||
\(551\) | −64.1509 | + | 111.113i | −0.116426 | + | 0.201656i | ||||
\(552\) | −116.656 | − | 254.017i | −0.211334 | − | 0.460176i | ||||
\(553\) | 377.512 | − | 36.7268i | 0.682662 | − | 0.0664137i | ||||
\(554\) | 244.231 | 0.440850 | ||||||||
\(555\) | 81.9661 | + | 562.848i | 0.147687 | + | 1.01414i | ||||
\(556\) | 306.537 | − | 176.979i | 0.551325 | − | 0.318308i | ||||
\(557\) | 197.326 | − | 736.431i | 0.354266 | − | 1.32214i | −0.527140 | − | 0.849779i | \(-0.676736\pi\) |
0.881406 | − | 0.472360i | \(-0.156598\pi\) | |||||||
\(558\) | 416.088 | + | 199.950i | 0.745678 | + | 0.358334i | ||||
\(559\) | 243.457 | 0.435522 | ||||||||
\(560\) | −78.6421 | − | 115.825i | −0.140432 | − | 0.206830i | ||||
\(561\) | 358.539 | + | 132.864i | 0.639107 | + | 0.236835i | ||||
\(562\) | 142.041 | + | 530.105i | 0.252742 | + | 0.943247i | ||||
\(563\) | −151.152 | + | 564.109i | −0.268477 | + | 1.00197i | 0.691611 | + | 0.722270i | \(0.256901\pi\) |
−0.960088 | + | 0.279699i | \(0.909765\pi\) | |||||||
\(564\) | 17.9976 | + | 105.659i | 0.0319106 | + | 0.187339i | ||||
\(565\) | −59.3349 | + | 201.848i | −0.105018 | + | 0.357253i | ||||
\(566\) | −397.392 | −0.702106 | ||||||||
\(567\) | −154.158 | + | 545.641i | −0.271884 | + | 0.962330i | ||||
\(568\) | 63.9596 | + | 63.9596i | 0.112605 | + | 0.112605i | ||||
\(569\) | −182.005 | + | 315.242i | −0.319868 | + | 0.554028i | −0.980460 | − | 0.196717i | \(-0.936972\pi\) |
0.660592 | + | 0.750745i | \(0.270305\pi\) | |||||||
\(570\) | 219.533 | − | 551.258i | 0.385145 | − | 0.967119i | ||||
\(571\) | 5.98571 | + | 10.3676i | 0.0104829 | + | 0.0181568i | 0.871219 | − | 0.490894i | \(-0.163330\pi\) |
−0.860736 | + | 0.509051i | \(0.829996\pi\) | |||||||
\(572\) | 75.2812 | + | 280.953i | 0.131610 | + | 0.491177i | ||||
\(573\) | 181.461 | + | 395.129i | 0.316686 | + | 0.689579i | ||||
\(574\) | 335.170 | − | 407.413i | 0.583919 | − | 0.709779i | ||||
\(575\) | −784.295 | − | 251.240i | −1.36399 | − | 0.436940i | ||||
\(576\) | 67.9397 | − | 23.8367i | 0.117951 | − | 0.0413832i | ||||
\(577\) | 25.4762 | − | 95.0785i | 0.0441529 | − | 0.164781i | −0.940329 | − | 0.340266i | \(-0.889483\pi\) |
0.984482 | + | 0.175485i | \(0.0561495\pi\) | |||||||
\(578\) | 282.141 | + | 75.5995i | 0.488133 | + | 0.130795i | ||||
\(579\) | 518.874 | − | 430.269i | 0.896156 | − | 0.743124i | ||||
\(580\) | −23.8852 | + | 39.1593i | −0.0411814 | + | 0.0675160i | ||||
\(581\) | −370.159 | − | 61.5675i | −0.637107 | − | 0.105968i | ||||
\(582\) | 149.299 | + | 325.096i | 0.256527 | + | 0.558583i | ||||
\(583\) | −1108.39 | + | 296.991i | −1.90118 | + | 0.509419i | ||||
\(584\) | 161.986 | − | 93.5228i | 0.277374 | − | 0.160142i | ||||
\(585\) | 465.646 | − | 24.0151i | 0.795976 | − | 0.0410515i | ||||
\(586\) | 371.180 | + | 214.301i | 0.633412 | + | 0.365701i | ||||
\(587\) | 360.927 | − | 360.927i | 0.614867 | − | 0.614867i | −0.329343 | − | 0.944210i | \(-0.606827\pi\) |
0.944210 | + | 0.329343i | \(0.106827\pi\) | |||||||
\(588\) | −120.611 | + | 268.121i | −0.205121 | + | 0.455988i | ||||
\(589\) | 1014.52i | 1.72244i | ||||||||
\(590\) | −18.5899 | + | 63.2400i | −0.0315083 | + | 0.107186i | ||||
\(591\) | −155.308 | − | 911.775i | −0.262788 | − | 1.54277i | ||||
\(592\) | −146.508 | − | 39.2566i | −0.247479 | − | 0.0663118i | ||||
\(593\) | 360.719 | − | 96.6544i | 0.608295 | − | 0.162992i | 0.0584941 | − | 0.998288i | \(-0.481370\pi\) |
0.549801 | + | 0.835295i | \(0.314703\pi\) | |||||||
\(594\) | −259.832 | − | 468.745i | −0.437428 | − | 0.789133i | ||||
\(595\) | 207.775 | − | 240.502i | 0.349202 | − | 0.404204i | ||||
\(596\) | 107.113i | 0.179720i | ||||||||
\(597\) | 47.7189 | − | 511.169i | 0.0799312 | − | 0.856229i | ||||
\(598\) | 466.263 | + | 124.935i | 0.779704 | + | 0.208921i | ||||
\(599\) | 425.287 | + | 736.618i | 0.709994 | + | 1.22975i | 0.964859 | + | 0.262770i | \(0.0846359\pi\) |
−0.254864 | + | 0.966977i | \(0.582031\pi\) | |||||||
\(600\) | 83.2121 | − | 195.130i | 0.138687 | − | 0.325217i | ||||
\(601\) | 742.810i | 1.23596i | 0.786195 | + | 0.617979i | \(0.212048\pi\) | ||||
−0.786195 | + | 0.617979i | \(0.787952\pi\) | |||||||
\(602\) | −231.509 | + | 22.5227i | −0.384567 | + | 0.0374131i | ||||
\(603\) | −63.7253 | − | 840.946i | −0.105681 | − | 1.39460i | ||||
\(604\) | 141.162 | + | 81.5000i | 0.233712 | + | 0.134934i | ||||
\(605\) | 9.15996 | − | 379.920i | 0.0151404 | − | 0.627967i | ||||
\(606\) | 86.0581 | + | 505.226i | 0.142010 | + | 0.833706i | ||||
\(607\) | −294.444 | + | 78.8960i | −0.485081 | + | 0.129977i | −0.493067 | − | 0.869991i | \(-0.664124\pi\) |
0.00798677 | + | 0.999968i | \(0.497458\pi\) | |||||||
\(608\) | 111.886 | + | 111.886i | 0.184022 | + | 0.184022i | ||||
\(609\) | 96.3239 | − | 0.375494i | 0.158167 | − | 0.000616575i | ||||
\(610\) | −736.255 | + | 178.375i | −1.20698 | + | 0.292418i | ||||
\(611\) | −160.295 | − | 92.5461i | −0.262348 | − | 0.151467i | ||||
\(612\) | 92.1883 | + | 134.974i | 0.150635 | + | 0.220545i | ||||
\(613\) | 67.8715 | − | 253.300i | 0.110720 | − | 0.413214i | −0.888211 | − | 0.459436i | \(-0.848052\pi\) |
0.998931 | + | 0.0462222i | \(0.0147182\pi\) | |||||||
\(614\) | −136.621 | − | 78.8782i | −0.222510 | − | 0.128466i | ||||
\(615\) | 793.898 | + | 93.4639i | 1.29089 | + | 0.151974i | ||||
\(616\) | −97.5785 | − | 260.201i | −0.158407 | − | 0.422405i | ||||
\(617\) | 43.4324 | + | 43.4324i | 0.0703929 | + | 0.0703929i | 0.741427 | − | 0.671034i | \(-0.234149\pi\) |
−0.671034 | + | 0.741427i | \(0.734149\pi\) | |||||||
\(618\) | −50.6674 | + | 542.753i | −0.0819861 | + | 0.878240i | ||||
\(619\) | 194.486 | + | 336.859i | 0.314194 | + | 0.544199i | 0.979266 | − | 0.202580i | \(-0.0649326\pi\) |
−0.665072 | + | 0.746779i | \(0.731599\pi\) | |||||||
\(620\) | −8.74217 | + | 362.592i | −0.0141003 | + | 0.584826i | ||||
\(621\) | −889.303 | − | 15.5192i | −1.43205 | − | 0.0249907i | ||||
\(622\) | −321.256 | − | 321.256i | −0.516489 | − | 0.516489i | ||||
\(623\) | 739.437 | − | 71.9371i | 1.18690 | − | 0.115469i | ||||
\(624\) | −43.2047 | + | 116.590i | −0.0692384 | + | 0.186842i | ||||
\(625\) | −258.939 | − | 568.837i | −0.414303 | − | 0.910139i | ||||
\(626\) | 301.487 | + | 522.190i | 0.481608 | + | 0.834169i | ||||
\(627\) | 681.165 | − | 960.860i | 1.08639 | − | 1.53247i | ||||
\(628\) | −31.3606 | − | 117.039i | −0.0499373 | − | 0.186369i | ||||
\(629\) | − | 344.329i | − | 0.547424i | ||||||
\(630\) | −440.574 | + | 65.9145i | −0.699323 | + | 0.104626i | ||||
\(631\) | −989.008 | −1.56737 | −0.783683 | − | 0.621160i | \(-0.786662\pi\) | ||||
−0.783683 | + | 0.621160i | \(0.786662\pi\) | |||||||
\(632\) | −148.036 | + | 39.6661i | −0.234234 | + | 0.0627629i | ||||
\(633\) | 333.343 | + | 236.311i | 0.526608 | + | 0.373319i | ||||
\(634\) | 116.441 | − | 67.2273i | 0.183661 | − | 0.106037i | ||||
\(635\) | −156.541 | + | 532.529i | −0.246522 | + | 0.838628i | ||||
\(636\) | −459.957 | − | 170.447i | −0.723202 | − | 0.267998i | ||||
\(637\) | −223.467 | − | 455.887i | −0.350812 | − | 0.715678i | ||||
\(638\) | −64.3810 | + | 64.3810i | −0.100911 | + | 0.100911i | ||||
\(639\) | 271.588 | − | 95.2869i | 0.425020 | − | 0.149119i | ||||
\(640\) | 39.0242 | + | 40.9525i | 0.0609754 | + | 0.0639883i | ||||
\(641\) | −586.991 | + | 338.899i | −0.915743 | + | 0.528704i | −0.882274 | − | 0.470736i | \(-0.843989\pi\) |
−0.0334683 | + | 0.999440i | \(0.510655\pi\) | |||||||
\(642\) | 411.409 | + | 38.4061i | 0.640824 | + | 0.0598226i | ||||
\(643\) | 451.858 | − | 451.858i | 0.702734 | − | 0.702734i | −0.262263 | − | 0.964996i | \(-0.584469\pi\) |
0.964996 | + | 0.262263i | \(0.0844688\pi\) | |||||||
\(644\) | −454.940 | − | 75.6689i | −0.706429 | − | 0.117498i | ||||
\(645\) | −218.369 | − | 276.646i | −0.338557 | − | 0.428909i | ||||
\(646\) | −179.604 | + | 311.084i | −0.278025 | + | 0.481554i | ||||
\(647\) | −105.031 | − | 28.1430i | −0.162336 | − | 0.0434977i | 0.176736 | − | 0.984258i | \(-0.443446\pi\) |
−0.339071 | + | 0.940761i | \(0.610113\pi\) | |||||||
\(648\) | 25.2717 | − | 227.705i | 0.0389995 | − | 0.351396i | ||||
\(649\) | −65.4204 | + | 113.312i | −0.100802 | + | 0.174594i | ||||
\(650\) | 167.664 | + | 325.712i | 0.257945 | + | 0.501095i | ||||
\(651\) | 658.131 | − | 383.401i | 1.01095 | − | 0.588941i | ||||
\(652\) | 256.644 | − | 256.644i | 0.393626 | − | 0.393626i | ||||
\(653\) | −232.790 | − | 868.783i | −0.356493 | − | 1.33045i | −0.878596 | − | 0.477566i | \(-0.841519\pi\) |
0.522103 | − | 0.852882i | \(-0.325148\pi\) | |||||||
\(654\) | 14.2134 | − | 2.42105i | 0.0217330 | − | 0.00370191i | ||||
\(655\) | 0.858892 | − | 35.6236i | 0.00131129 | − | 0.0543871i | ||||
\(656\) | −106.584 | + | 184.609i | −0.162476 | + | 0.281416i | ||||
\(657\) | −44.9724 | − | 593.474i | −0.0684511 | − | 0.903308i | ||||
\(658\) | 160.990 | + | 73.1754i | 0.244666 | + | 0.111209i | ||||
\(659\) | 326.028 | 0.494732 | 0.247366 | − | 0.968922i | \(-0.420435\pi\) | ||||
0.247366 | + | 0.968922i | \(0.420435\pi\) | |||||||
\(660\) | 251.731 | − | 337.546i | 0.381410 | − | 0.511433i | ||||
\(661\) | −21.0467 | + | 12.1513i | −0.0318407 | + | 0.0183832i | −0.515836 | − | 0.856687i | \(-0.672519\pi\) |
0.483995 | + | 0.875071i | \(0.339185\pi\) | |||||||
\(662\) | 222.552 | − | 830.576i | 0.336182 | − | 1.25465i | ||||
\(663\) | −281.044 | − | 26.2362i | −0.423898 | − | 0.0395720i | ||||
\(664\) | 151.622 | 0.228346 | ||||||||
\(665\) | −549.933 | − | 809.947i | −0.826966 | − | 1.21797i | ||||
\(666\) | −314.508 | + | 366.082i | −0.472234 | + | 0.549673i | ||||
\(667\) | 39.1081 | + | 145.953i | 0.0586328 | + | 0.218820i | ||||
\(668\) | −29.2656 | + | 109.221i | −0.0438107 | + | 0.163504i | ||||
\(669\) | 1061.88 | − | 180.876i | 1.58726 | − | 0.270367i | ||||
\(670\) | 581.650 | − | 317.374i | 0.868135 | − | 0.473693i | ||||
\(671\) | −1503.73 | −2.24102 | ||||||||
\(672\) | 30.2986 | − | 114.865i | 0.0450872 | − | 0.170930i | ||||
\(673\) | −534.423 | − | 534.423i | −0.794091 | − | 0.794091i | 0.188066 | − | 0.982156i | \(-0.439778\pi\) |
−0.982156 | + | 0.188066i | \(0.939778\pi\) | |||||||
\(674\) | −153.881 | + | 266.530i | −0.228310 | + | 0.395445i | ||||
\(675\) | −444.952 | − | 507.586i | −0.659188 | − | 0.751979i | ||||
\(676\) | 61.6404 | + | 106.764i | 0.0911841 | + | 0.157935i | ||||
\(677\) | −332.972 | − | 1242.67i | −0.491835 | − | 1.83555i | −0.547082 | − | 0.837079i | \(-0.684262\pi\) |
0.0552479 | − | 0.998473i | \(-0.482405\pi\) | |||||||
\(678\) | −162.230 | + | 74.5036i | −0.239278 | + | 0.109887i | ||||
\(679\) | 582.241 | + | 96.8424i | 0.857497 | + | 0.142625i | ||||
\(680\) | −66.8720 | + | 109.635i | −0.0983411 | + | 0.161228i | ||||
\(681\) | −35.9238 | − | 43.3215i | −0.0527515 | − | 0.0636146i | ||||
\(682\) | −186.335 | + | 695.413i | −0.273219 | + | 1.01967i | ||||
\(683\) | −59.6482 | − | 15.9827i | −0.0873326 | − | 0.0234007i | 0.214888 | − | 0.976639i | \(-0.431061\pi\) |
−0.302221 | + | 0.953238i | \(0.597728\pi\) | |||||||
\(684\) | 475.093 | − | 166.687i | 0.694580 | − | 0.243694i | ||||
\(685\) | −157.188 | − | 648.804i | −0.229472 | − | 0.947160i | ||||
\(686\) | 254.676 | + | 412.842i | 0.371248 | + | 0.601810i | ||||
\(687\) | 853.366 | − | 391.905i | 1.24216 | − | 0.570458i | ||||
\(688\) | 90.7831 | − | 24.3253i | 0.131952 | − | 0.0353565i | ||||
\(689\) | 733.599 | − | 423.543i | 1.06473 | − | 0.614722i | ||||
\(690\) | −276.249 | − | 641.888i | −0.400361 | − | 0.930272i | ||||
\(691\) | −567.484 | − | 327.637i | −0.821250 | − | 0.474149i | 0.0295974 | − | 0.999562i | \(-0.490577\pi\) |
−0.850847 | + | 0.525413i | \(0.823911\pi\) | |||||||
\(692\) | −16.5108 | + | 16.5108i | −0.0238595 | + | 0.0238595i | ||||
\(693\) | −880.746 | − | 78.7580i | −1.27092 | − | 0.113648i | ||||
\(694\) | 116.329i | 0.167621i | ||||||||
\(695\) | 776.784 | − | 423.848i | 1.11767 | − | 0.609853i | ||||
\(696\) | −38.3684 | + | 6.53551i | −0.0551270 | + | 0.00939010i | ||||
\(697\) | −467.438 | − | 125.250i | −0.670642 | − | 0.179698i | ||||
\(698\) | −381.842 | + | 102.314i | −0.547051 | + | 0.146582i | ||||
\(699\) | −234.924 | + | 633.951i | −0.336086 | + | 0.906940i | ||||
\(700\) | −189.569 | − | 294.217i | −0.270812 | − | 0.420310i | ||||
\(701\) | − | 637.912i | − | 0.910003i | −0.890491 | − | 0.455001i | \(-0.849639\pi\) | ||
0.890491 | − | 0.455001i | \(-0.150361\pi\) | |||||||
\(702\) | 274.835 | + | 284.598i | 0.391503 | + | 0.405410i | ||||
\(703\) | −1024.51 | − | 274.516i | −1.45734 | − | 0.390492i | ||||
\(704\) | 56.1435 | + | 97.2435i | 0.0797493 | + | 0.138130i | ||||
\(705\) | 38.6141 | + | 265.156i | 0.0547717 | + | 0.376108i | ||||
\(706\) | − | 424.474i | − | 0.601238i | ||||||
\(707\) | 769.797 | + | 349.899i | 1.08882 | + | 0.494906i | ||||
\(708\) | −50.8276 | + | 23.3424i | −0.0717904 | + | 0.0329694i | ||||
\(709\) | −166.213 | − | 95.9630i | −0.234433 | − | 0.135350i | 0.378183 | − | 0.925731i | \(-0.376549\pi\) |
−0.612615 | + | 0.790381i | \(0.709882\pi\) | |||||||
\(710\) | 155.999 | + | 163.707i | 0.219716 | + | 0.230573i | ||||
\(711\) | −90.2629 | + | 479.238i | −0.126952 | + | 0.674034i | ||||
\(712\) | −289.960 | + | 77.6945i | −0.407247 | + | 0.109121i | ||||
\(713\) | 844.853 | + | 844.853i | 1.18493 | + | 1.18493i | ||||
\(714\) | 269.680 | − | 1.05128i | 0.377703 | − | 0.00147238i | ||||
\(715\) | 171.219 | + | 706.715i | 0.239467 | + | 0.988413i | ||||
\(716\) | −135.528 | − | 78.2474i | −0.189286 | − | 0.109284i | ||||
\(717\) | −854.427 | − | 605.713i | −1.19167 | − | 0.844788i | ||||
\(718\) | 38.1650 | − | 142.434i | 0.0531546 | − | 0.198376i | ||||
\(719\) | −935.091 | − | 539.875i | −1.30054 | − | 0.750870i | −0.320047 | − | 0.947402i | \(-0.603699\pi\) |
−0.980497 | + | 0.196532i | \(0.937032\pi\) | |||||||
\(720\) | 171.236 | − | 55.4806i | 0.237828 | − | 0.0770564i | ||||
\(721\) | 694.556 | + | 571.396i | 0.963323 | + | 0.792505i | ||||
\(722\) | 421.400 | + | 421.400i | 0.583657 | + | 0.583657i | ||||
\(723\) | 585.439 | + | 54.6523i | 0.809736 | + | 0.0755910i | ||||
\(724\) | −94.0811 | − | 162.953i | −0.129946 | − | 0.225074i | ||||
\(725\) | −62.0554 | + | 96.4305i | −0.0855937 | + | 0.133008i | ||||
\(726\) | 248.225 | − | 205.837i | 0.341908 | − | 0.283522i | ||||
\(727\) | 838.098 | + | 838.098i | 1.15282 | + | 1.15282i | 0.985985 | + | 0.166831i | \(0.0533535\pi\) |
0.166831 | + | 0.985985i | \(0.446646\pi\) | |||||||
\(728\) | 119.294 | + | 166.895i | 0.163865 | + | 0.229251i | ||||
\(729\) | −618.230 | − | 386.306i | −0.848052 | − | 0.529912i | ||||
\(730\) | 410.483 | − | 223.978i | 0.562306 | − | 0.306819i | ||||
\(731\) | 106.681 | + | 184.778i | 0.145939 | + | 0.252774i | ||||
\(732\) | −524.403 | − | 371.755i | −0.716397 | − | 0.507862i | ||||
\(733\) | −162.576 | − | 606.740i | −0.221795 | − | 0.827749i | −0.983663 | − | 0.180018i | \(-0.942385\pi\) |
0.761869 | − | 0.647732i | \(-0.224282\pi\) | |||||||
\(734\) | − | 217.882i | − | 0.296842i | ||||||
\(735\) | −317.597 | + | 662.840i | −0.432104 | + | 0.901824i | ||||
\(736\) | 186.349 | 0.253191 | ||||||||
\(737\) | 1270.43 | − | 340.412i | 1.72379 | − | 0.461889i | ||||
\(738\) | 382.565 | + | 560.116i | 0.518381 | + | 0.758965i | ||||
\(739\) | 601.795 | − | 347.447i | 0.814337 | − | 0.470158i | −0.0341227 | − | 0.999418i | \(-0.510864\pi\) |
0.848460 | + | 0.529260i | \(0.177530\pi\) | |||||||
\(740\) | −363.797 | − | 106.941i | −0.491618 | − | 0.144515i | ||||
\(741\) | −302.124 | + | 815.294i | −0.407725 | + | 1.10026i | ||||
\(742\) | −658.416 | + | 470.626i | −0.887353 | + | 0.634266i | ||||
\(743\) | 715.171 | − | 715.171i | 0.962545 | − | 0.962545i | −0.0367782 | − | 0.999323i | \(-0.511709\pi\) |
0.999323 | + | 0.0367782i | \(0.0117095\pi\) | |||||||
\(744\) | −236.904 | + | 196.449i | −0.318419 | + | 0.264044i | ||||
\(745\) | −6.45443 | + | 267.705i | −0.00866366 | + | 0.359336i | ||||
\(746\) | 23.9102 | − | 13.8046i | 0.0320512 | − | 0.0185048i | ||||
\(747\) | 208.968 | − | 434.853i | 0.279743 | − | 0.582133i | ||||
\(748\) | −180.249 | + | 180.249i | −0.240974 | + | 0.240974i | ||||
\(749\) | 433.121 | − | 526.477i | 0.578266 | − | 0.702906i | ||||
\(750\) | 219.728 | − | 482.669i | 0.292971 | − | 0.643559i | ||||
\(751\) | 551.076 | − | 954.492i | 0.733790 | − | 1.27096i | −0.221462 | − | 0.975169i | \(-0.571083\pi\) |
0.955252 | − | 0.295793i | \(-0.0955837\pi\) | |||||||
\(752\) | −69.0195 | − | 18.4937i | −0.0917812 | − | 0.0245927i | ||||
\(753\) | −797.278 | − | 565.199i | −1.05880 | − | 0.750596i | ||||
\(754\) | 33.6065 | − | 58.2082i | 0.0445710 | − | 0.0771992i | ||||
\(755\) | 347.892 | + | 212.197i | 0.460784 | + | 0.281055i | ||||
\(756\) | −287.677 | − | 245.206i | −0.380525 | − | 0.324347i | ||||
\(757\) | 125.274 | − | 125.274i | 0.165487 | − | 0.165487i | −0.619505 | − | 0.784993i | \(-0.712667\pi\) |
0.784993 | + | 0.619505i | \(0.212667\pi\) | |||||||
\(758\) | 26.1494 | + | 97.5908i | 0.0344979 | + | 0.128748i | ||||
\(759\) | −232.921 | − | 1367.42i | −0.306878 | − | 1.80161i | ||||
\(760\) | 272.891 | + | 286.375i | 0.359067 | + | 0.376809i | ||||
\(761\) | 376.596 | − | 652.283i | 0.494869 | − | 0.857139i | −0.505113 | − | 0.863053i | \(-0.668549\pi\) |
0.999983 | + | 0.00591419i | \(0.00188256\pi\) | |||||||
\(762\) | −428.007 | + | 196.560i | −0.561689 | + | 0.257953i | ||||
\(763\) | 9.84362 | − | 21.6565i | 0.0129012 | − | 0.0283834i | ||||
\(764\) | −289.870 | −0.379410 | ||||||||
\(765\) | 222.271 | + | 342.891i | 0.290550 | + | 0.448223i | ||||
\(766\) | 311.417 | − | 179.797i | 0.406549 | − | 0.234721i | ||||
\(767\) | 24.9989 | − | 93.2970i | 0.0325930 | − | 0.121639i | ||||
\(768\) | −4.46153 | + | 47.7922i | −0.00580928 | + | 0.0622294i | ||||
\(769\) | −706.961 | −0.919326 | −0.459663 | − | 0.888094i | \(-0.652030\pi\) | ||||
−0.459663 | + | 0.888094i | \(0.652030\pi\) | |||||||
\(770\) | −228.196 | − | 656.195i | −0.296359 | − | 0.852201i | ||||
\(771\) | 237.015 | − | 639.594i | 0.307413 | − | 0.829564i | ||||
\(772\) | 116.307 | + | 434.064i | 0.150657 | + | 0.562259i | ||||
\(773\) | −105.849 | + | 395.035i | −0.136933 | + | 0.511041i | 0.863049 | + | 0.505120i | \(0.168552\pi\) |
−0.999982 | + | 0.00592163i | \(0.998115\pi\) | |||||||
\(774\) | 55.3538 | − | 293.893i | 0.0715165 | − | 0.379707i | ||||
\(775\) | −43.6982 | + | 905.689i | −0.0563847 | + | 1.16863i | ||||
\(776\) | −238.493 | −0.307336 | ||||||||
\(777\) | 209.094 | + | 768.356i | 0.269104 | + | 0.988875i | ||||
\(778\) | 105.865 | + | 105.865i | 0.136073 | + | 0.136073i | ||||
\(779\) | −745.327 | + | 1290.94i | −0.956774 | + | 1.65718i | ||||
\(780\) | −115.006 | + | 288.786i | −0.147444 | + | 0.370238i | ||||
\(781\) | 224.433 | + | 388.728i | 0.287366 | + | 0.497732i | ||||
\(782\) | 109.492 | + | 408.628i | 0.140015 | + | 0.522542i | ||||
\(783\) | −34.1361 | + | 119.049i | −0.0435965 | + | 0.152042i | ||||
\(784\) | −128.880 | − | 147.669i | −0.164387 | − | 0.188353i | ||||
\(785\) | −71.3262 | − | 294.403i | −0.0908614 | − | 0.375036i | ||||
\(786\) | 23.2751 | − | 19.3005i | 0.0296120 | − | 0.0245554i | ||||
\(787\) | −175.854 | + | 656.296i | −0.223448 | + | 0.833921i | 0.759572 | + | 0.650424i | \(0.225409\pi\) |
−0.983020 | + | 0.183498i | \(0.941258\pi\) | |||||||
\(788\) | 595.595 | + | 159.589i | 0.755831 | + | 0.202524i | ||||
\(789\) | 973.515 | + | 1173.99i | 1.23386 | + | 1.48795i | ||||
\(790\) | −372.373 | + | 90.2162i | −0.471358 | + | 0.114198i | ||||
\(791\) | −48.3266 | + | 290.552i | −0.0610956 | + | 0.367322i | ||||
\(792\) | 356.274 | − | 26.9978i | 0.449841 | − | 0.0340881i | ||||
\(793\) | 1072.24 | − | 287.307i | 1.35213 | − | 0.362303i | ||||
\(794\) | −324.311 | + | 187.241i | −0.408452 | + | 0.235820i | ||||
\(795\) | −1139.29 | − | 453.709i | −1.43306 | − | 0.570703i | ||||
\(796\) | 296.406 | + | 171.130i | 0.372370 | + | 0.214988i | ||||
\(797\) | −652.732 | + | 652.732i | −0.818987 | + | 0.818987i | −0.985961 | − | 0.166975i | \(-0.946600\pi\) |
0.166975 | + | 0.985961i | \(0.446600\pi\) | |||||||
\(798\) | 211.874 | − | 803.235i | 0.265506 | − | 1.00656i | ||||
\(799\) | − | 162.213i | − | 0.203020i | ||||||
\(800\) | 95.0646 | + | 104.703i | 0.118831 | + | 0.130879i | ||||
\(801\) | −176.799 | + | 938.689i | −0.220723 | + | 1.17190i | ||||
\(802\) | −718.735 | − | 192.584i | −0.896178 | − | 0.240130i | ||||
\(803\) | 896.573 | − | 240.236i | 1.11653 | − | 0.299173i | ||||
\(804\) | 527.203 | + | 195.366i | 0.655726 | + | 0.242993i | ||||
\(805\) | −1132.46 | − | 216.531i | −1.40678 | − | 0.268983i | ||||
\(806\) | − | 531.471i | − | 0.659393i | ||||||
\(807\) | −452.437 | − | 42.2362i | −0.560640 | − | 0.0523372i | ||||
\(808\) | −330.026 | − | 88.4303i | −0.408449 | − | 0.109443i | ||||
\(809\) | 21.5068 | + | 37.2508i | 0.0265844 | + | 0.0460455i | 0.879012 | − | 0.476801i | \(-0.158204\pi\) |
−0.852427 | + | 0.522846i | \(0.824870\pi\) | |||||||
\(810\) | 76.8818 | − | 567.573i | 0.0949158 | − | 0.700707i | ||||
\(811\) | − | 299.887i | − | 0.369774i | −0.982760 | − | 0.184887i | \(-0.940808\pi\) | ||
0.982760 | − | 0.184887i | \(-0.0591919\pi\) | |||||||
\(812\) | −26.5724 | + | 58.4607i | −0.0327246 | + | 0.0719960i | ||||
\(813\) | −218.430 | − | 475.628i | −0.268672 | − | 0.585028i | ||||
\(814\) | −651.841 | − | 376.341i | −0.800788 | − | 0.462335i | ||||
\(815\) | 656.888 | − | 625.959i | 0.805998 | − | 0.768047i | ||||
\(816\) | −107.421 | + | 18.2976i | −0.131643 | + | 0.0224235i | ||||
\(817\) | 634.833 | − | 170.103i | 0.777029 | − | 0.208204i | ||||
\(818\) | 313.310 | + | 313.310i | 0.383020 | + | 0.383020i | ||||
\(819\) | 643.070 | − | 112.119i | 0.785190 | − | 0.136898i | ||||
\(820\) | −277.507 | + | 454.966i | −0.338423 | + | 0.554837i | ||||
\(821\) | −871.350 | − | 503.074i | −1.06133 | − | 0.612758i | −0.135528 | − | 0.990773i | \(-0.543273\pi\) |
−0.925799 | + | 0.378016i | \(0.876607\pi\) | |||||||
\(822\) | 327.599 | − | 462.116i | 0.398539 | − | 0.562184i | ||||
\(823\) | −158.211 | + | 590.452i | −0.192237 | + | 0.717439i | 0.800727 | + | 0.599029i | \(0.204447\pi\) |
−0.992965 | + | 0.118410i | \(0.962220\pi\) | |||||||
\(824\) | −314.721 | − | 181.704i | −0.381943 | − | 0.220515i | ||||
\(825\) | 649.484 | − | 828.450i | 0.787253 | − | 1.00418i | ||||
\(826\) | −15.1410 | + | 91.0314i | −0.0183305 | + | 0.110207i | ||||
\(827\) | −139.187 | − | 139.187i | −0.168303 | − | 0.168303i | 0.617930 | − | 0.786233i | \(-0.287972\pi\) |
−0.786233 | + | 0.617930i | \(0.787972\pi\) | |||||||
\(828\) | 256.830 | − | 534.452i | 0.310181 | − | 0.645473i | ||||
\(829\) | 337.781 | + | 585.054i | 0.407456 | + | 0.705735i | 0.994604 | − | 0.103745i | \(-0.0330825\pi\) |
−0.587148 | + | 0.809480i | \(0.699749\pi\) | |||||||
\(830\) | 378.944 | + | 9.13643i | 0.456559 | + | 0.0110077i | ||||
\(831\) | 330.709 | + | 398.812i | 0.397965 | + | 0.479918i | ||||
\(832\) | −58.6132 | − | 58.6132i | −0.0704485 | − | 0.0704485i | ||||
\(833\) | 248.085 | − | 369.373i | 0.297821 | − | 0.443425i | ||||
\(834\) | 704.071 | + | 260.908i | 0.844209 | + | 0.312840i | ||||
\(835\) | −79.7241 | + | 271.209i | −0.0954779 | + | 0.324801i | ||||
\(836\) | 392.604 | + | 680.009i | 0.469622 | + | 0.813408i | ||||
\(837\) | 236.914 | + | 950.193i | 0.283051 | + | 1.13524i | ||||
\(838\) | 31.3354 | + | 116.945i | 0.0373931 | + | 0.139553i | ||||
\(839\) | − | 759.383i | − | 0.905105i | −0.891738 | − | 0.452553i | \(-0.850513\pi\) | ||
0.891738 | − | 0.452553i | \(-0.149487\pi\) | |||||||
\(840\) | 82.6460 | − | 285.254i | 0.0983881 | − | 0.339588i | ||||
\(841\) | −819.960 | −0.974983 | ||||||||
\(842\) | 217.759 | − | 58.3483i | 0.258621 | − | 0.0692973i | ||||
\(843\) | −673.288 | + | 949.750i | −0.798681 | + | 1.12663i | ||||
\(844\) | −235.910 | + | 136.203i | −0.279514 | + | 0.161377i | ||||
\(845\) | 147.623 | + | 270.548i | 0.174702 | + | 0.320175i | ||||
\(846\) | −148.164 | + | 172.461i | −0.175135 | + | 0.203854i | ||||
\(847\) | −51.5172 | − | 529.542i | −0.0608232 | − | 0.625198i | ||||
\(848\) | 231.234 | − | 231.234i | 0.272682 | − | 0.272682i | ||||
\(849\) | −538.102 | − | 648.913i | −0.633807 | − | 0.764326i | ||||
\(850\) | −173.738 | + | 269.978i | −0.204397 | + | 0.317621i | ||||
\(851\) | −1081.78 | + | 624.566i | −1.27119 | + | 0.733920i | ||||
\(852\) | −17.8349 | + | 191.048i | −0.0209329 | + | 0.224235i | ||||
\(853\) | 270.212 | − | 270.212i | 0.316778 | − | 0.316778i | −0.530750 | − | 0.847528i | \(-0.678090\pi\) |
0.847528 | + | 0.530750i | \(0.178090\pi\) | |||||||
\(854\) | −993.045 | + | 372.403i | −1.16282 | + | 0.436069i | ||||
\(855\) | 1197.43 | − | 387.968i | 1.40050 | − | 0.453764i | ||||
\(856\) | −137.733 | + | 238.560i | −0.160903 | + | 0.278691i | ||||
\(857\) | −1101.57 | − | 295.165i | −1.28538 | − | 0.344416i | −0.449475 | − | 0.893293i | \(-0.648389\pi\) |
−0.835903 | + | 0.548877i | \(0.815056\pi\) | |||||||
\(858\) | −356.840 | + | 503.363i | −0.415897 | + | 0.586670i | ||||
\(859\) | −428.503 | + | 742.190i | −0.498840 | + | 0.864016i | −0.999999 | − | 0.00133903i | \(-0.999574\pi\) |
0.501159 | + | 0.865355i | \(0.332907\pi\) | |||||||
\(860\) | 228.358 | − | 55.3251i | 0.265532 | − | 0.0643315i | ||||
\(861\) | 1119.12 | − | 4.36262i | 1.29980 | − | 0.00506692i | ||||
\(862\) | 573.909 | − | 573.909i | 0.665788 | − | 0.665788i | ||||
\(863\) | 361.037 | + | 1347.41i | 0.418351 | + | 1.56131i | 0.778028 | + | 0.628230i | \(0.216220\pi\) |
−0.359677 | + | 0.933077i | \(0.617113\pi\) | |||||||
\(864\) | 130.920 | + | 78.6638i | 0.151528 | + | 0.0910461i | ||||
\(865\) | −42.2598 | + | 40.2700i | −0.0488553 | + | 0.0465549i | ||||
\(866\) | −442.590 | + | 766.588i | −0.511073 | + | 0.885205i | ||||
\(867\) | 258.594 | + | 563.084i | 0.298263 | + | 0.649463i | ||||
\(868\) | 49.1675 | + | 505.390i | 0.0566446 | + | 0.582247i | ||||
\(869\) | −760.534 | −0.875183 | ||||||||
\(870\) | −96.2869 | + | 14.0220i | −0.110675 | + | 0.0161173i | ||||
\(871\) | −840.853 | + | 485.466i | −0.965388 | + | 0.557367i | ||||
\(872\) | −2.48779 | + | 9.28456i | −0.00285297 | + | 0.0106474i | ||||
\(873\) | −328.695 | + | 684.001i | −0.376512 | + | 0.783506i | ||||
\(874\) | 1303.11 | 1.49097 | ||||||||
\(875\) | −456.055 | − | 746.752i | −0.521206 | − | 0.853431i | ||||
\(876\) | 372.059 | + | 137.874i | 0.424725 | + | 0.157391i | ||||
\(877\) | −132.336 | − | 493.886i | −0.150897 | − | 0.563154i | −0.999422 | − | 0.0339989i | \(-0.989176\pi\) |
0.848525 | − | 0.529155i | \(-0.177491\pi\) | |||||||
\(878\) | −213.331 | + | 796.164i | −0.242974 | + | 0.906792i | ||||
\(879\) | 152.670 | + | 896.291i | 0.173687 | + | 1.01967i | ||||
\(880\) | 134.458 | + | 246.421i | 0.152794 | + | 0.280024i | ||||
\(881\) | 1163.51 | 1.32067 | 0.660336 | − | 0.750971i | \(-0.270414\pi\) | ||||
0.660336 | + | 0.750971i | \(0.270414\pi\) | |||||||
\(882\) | −601.140 | + | 166.109i | −0.681565 | + | 0.188332i | ||||
\(883\) | 294.375 | + | 294.375i | 0.333381 | + | 0.333381i | 0.853869 | − | 0.520488i | \(-0.174250\pi\) |
−0.520488 | + | 0.853869i | \(0.674250\pi\) | |||||||
\(884\) | 94.0888 | − | 162.967i | 0.106435 | − | 0.184351i | ||||
\(885\) | −128.439 | + | 55.2762i | −0.145128 | + | 0.0624589i | ||||
\(886\) | −505.062 | − | 874.793i | −0.570047 | − | 0.987351i | ||||
\(887\) | −280.281 | − | 1046.02i | −0.315988 | − | 1.17928i | −0.923066 | − | 0.384641i | \(-0.874325\pi\) |
0.607078 | − | 0.794642i | \(-0.292341\pi\) | |||||||
\(888\) | −134.280 | − | 292.393i | −0.151217 | − | 0.329272i | ||||
\(889\) | −127.499 | + | 766.554i | −0.143418 | + | 0.862265i | ||||
\(890\) | −729.370 | + | 176.707i | −0.819517 | + | 0.198548i | ||||
\(891\) | 413.593 | − | 1059.01i | 0.464190 | − | 1.18856i | ||||
\(892\) | −185.862 | + | 693.645i | −0.208365 | + | 0.777629i | ||||
\(893\) | −482.643 | − | 129.324i | −0.540474 | − | 0.144820i | ||||
\(894\) | −174.908 | + | 145.040i | −0.195647 | + | 0.162237i | ||||
\(895\) | −334.008 | − | 203.728i | −0.373193 | − | 0.227629i | ||||
\(896\) | 61.1593 | + | 50.3144i | 0.0682581 | + | 0.0561545i | ||||
\(897\) | 427.350 | + | 930.547i | 0.476421 | + | 1.03740i | ||||
\(898\) | 1172.83 | − | 314.259i | 1.30605 | − | 0.349954i | ||||
\(899\) | 144.076 | − | 83.1826i | 0.160263 | − | 0.0925279i | ||||
\(900\) | 431.310 | − | 128.343i | 0.479233 | − | 0.142603i | ||||
\(901\) | 642.918 | + | 371.189i | 0.713561 | + | 0.411974i | ||||
\(902\) | −748.001 | + | 748.001i | −0.829269 | + | 0.829269i | ||||
\(903\) | −350.261 | − | 347.541i | −0.387886 | − | 0.384874i | ||||
\(904\) | − | 119.014i | − | 0.131652i | ||||||
\(905\) | −225.315 | − | 412.934i | −0.248967 | − | 0.456281i | ||||
\(906\) | 58.0616 | + | 340.865i | 0.0640856 | + | 0.376231i | ||||
\(907\) | −1094.53 | − | 293.278i | −1.20676 | − | 0.323350i | −0.401268 | − | 0.915961i | \(-0.631431\pi\) |
−0.805489 | + | 0.592611i | \(0.798097\pi\) | |||||||
\(908\) | 36.2406 | − | 9.71064i | 0.0399125 | − | 0.0106945i | ||||
\(909\) | −708.468 | + | 824.645i | −0.779393 | + | 0.907200i | ||||
\(910\) | 288.091 | + | 424.304i | 0.316584 | + | 0.466269i | ||||
\(911\) | 1248.23i | 1.37018i | 0.728461 | + | 0.685088i | \(0.240236\pi\) | ||||
−0.728461 | + | 0.685088i | \(0.759764\pi\) | |||||||
\(912\) | −31.1988 | + | 334.204i | −0.0342092 | + | 0.366452i | ||||
\(913\) | 726.774 | + | 194.739i | 0.796029 | + | 0.213295i | ||||
\(914\) | 228.161 | + | 395.187i | 0.249630 | + | 0.432371i | ||||
\(915\) | −1288.22 | − | 960.717i | −1.40790 | − | 1.04996i | ||||
\(916\) | 626.036i | 0.683446i | ||||||||
\(917\) | −4.83056 | − | 49.6531i | −0.00526779 | − | 0.0541473i | ||||
\(918\) | −95.5715 | + | 333.302i | −0.104108 | + | 0.363075i | ||||
\(919\) | 1200.55 | + | 693.137i | 1.30636 | + | 0.754229i | 0.981487 | − | 0.191527i | \(-0.0613440\pi\) |
0.324876 | + | 0.945757i | \(0.394677\pi\) | |||||||
\(920\) | 465.737 | + | 11.2290i | 0.506236 | + | 0.0122055i | ||||
\(921\) | −56.1938 | − | 329.900i | −0.0610139 | − | 0.358198i | ||||
\(922\) | −105.282 | + | 28.2102i | −0.114189 | + | 0.0305968i | ||||
\(923\) | −234.305 | − | 234.305i | −0.253851 | − | 0.253851i | ||||
\(924\) | 292.761 | − | 511.673i | 0.316841 | − | 0.553759i | ||||
\(925\) | −902.785 | − | 289.197i | −0.975984 | − | 0.312646i | ||||
\(926\) | −836.238 | − | 482.802i | −0.903065 | − | 0.521385i | ||||
\(927\) | −954.884 | + | 652.196i | −1.03008 | + | 0.703556i | ||||
\(928\) | 6.71567 | − | 25.0632i | 0.00723671 | − | 0.0270078i | ||||
\(929\) | 1194.87 | + | 689.858i | 1.28619 | + | 0.742582i | 0.977972 | − | 0.208735i | \(-0.0669345\pi\) |
0.308217 | + | 0.951316i | \(0.400268\pi\) | |||||||
\(930\) | −603.924 | + | 476.704i | −0.649381 | + | 0.512585i | ||||
\(931\) | −901.236 | − | 1032.63i | −0.968031 | − | 1.10916i | ||||
\(932\) | −318.707 | − | 318.707i | −0.341960 | − | 0.341960i | ||||
\(933\) | 89.5809 | − | 959.597i | 0.0960138 | − | 1.02851i | ||||
\(934\) | −533.063 | − | 923.293i | −0.570732 | − | 0.988536i | ||||
\(935\) | −461.353 | + | 439.630i | −0.493425 | + | 0.470192i | ||||
\(936\) | −248.885 | + | 87.3217i | −0.265903 | + | 0.0932925i | ||||
\(937\) | −380.869 | − | 380.869i | −0.406477 | − | 0.406477i | 0.474031 | − | 0.880508i | \(-0.342798\pi\) |
−0.880508 | + | 0.474031i | \(0.842798\pi\) | |||||||
\(938\) | 754.678 | − | 539.432i | 0.804561 | − | 0.575088i | ||||
\(939\) | −444.461 | + | 1199.39i | −0.473335 | + | 1.27731i | ||||
\(940\) | −171.384 | − | 50.3798i | −0.182324 | − | 0.0535955i | ||||
\(941\) | 499.656 | + | 865.430i | 0.530984 | + | 0.919691i | 0.999346 | + | 0.0361548i | \(0.0115110\pi\) |
−0.468362 | + | 0.883537i | \(0.655156\pi\) | |||||||
\(942\) | 148.652 | − | 209.691i | 0.157805 | − | 0.222602i | ||||
\(943\) | 454.371 | + | 1695.74i | 0.481835 | + | 1.79823i | ||||
\(944\) | − | 37.2875i | − | 0.0394995i | ||||||
\(945\) | −704.208 | − | 630.172i | −0.745193 | − | 0.666849i | ||||
\(946\) | 466.397 | 0.493020 | ||||||||
\(947\) | 479.512 | − | 128.485i | 0.506349 | − | 0.135676i | 0.00340377 | − | 0.999994i | \(-0.498917\pi\) |
0.502945 | + | 0.864319i | \(0.332250\pi\) | |||||||
\(948\) | −265.225 | − | 188.021i | −0.279773 | − | 0.198334i | ||||
\(949\) | −593.408 | + | 342.604i | −0.625298 | + | 0.361016i | ||||
\(950\) | 664.773 | + | 732.173i | 0.699761 | + | 0.770709i | ||||
\(951\) | 267.449 | + | 99.1087i | 0.281229 | + | 0.104215i | ||||
\(952\) | −74.3952 | + | 163.674i | −0.0781462 | + | 0.171926i | ||||
\(953\) | 925.868 | − | 925.868i | 0.971530 | − | 0.971530i | −0.0280762 | − | 0.999606i | \(-0.508938\pi\) |
0.999606 | + | 0.0280762i | \(0.00893809\pi\) | |||||||
\(954\) | −344.492 | − | 981.876i | −0.361103 | − | 1.02922i | ||||
\(955\) | −724.463 | − | 17.4670i | −0.758601 | − | 0.0182900i | ||||
\(956\) | 604.685 | − | 349.115i | 0.632516 | − | 0.365183i | ||||
\(957\) | −192.307 | − | 17.9524i | −0.200948 | − | 0.0187590i | ||||
\(958\) | −672.297 | + | 672.297i | −0.701771 | + | 0.701771i | ||||
\(959\) | −328.170 | − | 875.094i | −0.342200 | − | 0.912506i | ||||
\(960\) | −14.0304 | + | 119.177i | −0.0146150 | + | 0.124143i | ||||
\(961\) | 177.246 | − | 307.000i | 0.184439 | − | 0.319458i | ||||
\(962\) | 536.705 | + | 143.810i | 0.557906 | + | 0.149490i | ||||
\(963\) | 494.368 | + | 723.807i | 0.513362 | + | 0.751617i | ||||
\(964\) | −195.995 | + | 339.473i | −0.203314 | + | 0.352150i | ||||
\(965\) | 264.527 | + | 1091.85i | 0.274121 | + | 1.13145i | ||||
\(966\) | −492.465 | − | 845.347i | −0.509798 | − | 0.875100i | ||||
\(967\) | 1052.31 | − | 1052.31i | 1.08822 | − | 1.08822i | 0.0925132 | − | 0.995711i | \(-0.470510\pi\) |
0.995711 | − | 0.0925132i | \(-0.0294900\pi\) | |||||||
\(968\) | 55.6403 | + | 207.652i | 0.0574796 | + | 0.214517i | ||||
\(969\) | −751.178 | + | 127.952i | −0.775209 | + | 0.132046i | ||||
\(970\) | −596.059 | − | 14.3711i | −0.614493 | − | 0.0148156i | ||||
\(971\) | 812.805 | − | 1407.82i | 0.837080 | − | 1.44987i | −0.0552457 | − | 0.998473i | \(-0.517594\pi\) |
0.892326 | − | 0.451392i | \(-0.149072\pi\) | |||||||
\(972\) | 406.045 | − | 267.064i | 0.417742 | − | 0.274757i | ||||
\(973\) | 1007.86 | − | 720.402i | 1.03583 | − | 0.740392i | ||||
\(974\) | −209.775 | −0.215375 | ||||||||
\(975\) | −304.833 | + | 714.825i | −0.312649 | + | 0.733154i | ||||
\(976\) | 371.124 | − | 214.269i | 0.380250 | − | 0.219538i | ||||
\(977\) | −324.450 | + | 1210.86i | −0.332088 | + | 1.23937i | 0.574904 | + | 0.818221i | \(0.305040\pi\) |
−0.906992 | + | 0.421149i | \(0.861627\pi\) | |||||||
\(978\) | 766.599 | + | 71.5640i | 0.783843 | + | 0.0731738i | ||||
\(979\) | −1489.67 | −1.52162 | ||||||||
\(980\) | −313.207 | − | 376.831i | −0.319599 | − | 0.384521i | ||||
\(981\) | 23.1995 | + | 19.9312i | 0.0236489 | + | 0.0203172i | ||||
\(982\) | −164.963 | − | 615.649i | −0.167987 | − | 0.626934i | ||||
\(983\) | 422.236 | − | 1575.81i | 0.429538 | − | 1.60306i | −0.324270 | − | 0.945965i | \(-0.605119\pi\) |
0.753808 | − | 0.657095i | \(-0.228215\pi\) | |||||||
\(984\) | −445.777 | + | 75.9318i | −0.453026 | + | 0.0771665i | ||||
\(985\) | 1478.94 | + | 434.746i | 1.50146 | + | 0.441367i | ||||
\(986\) | 58.9048 | 0.0597412 | ||||||||
\(987\) | 98.5038 | + | 361.971i | 0.0998012 | + | 0.366739i | ||||
\(988\) | −409.874 | − | 409.874i | −0.414852 | − | 0.414852i | ||||
\(989\) | 387.011 | − | 670.322i | 0.391315 | − | 0.677778i | ||||
\(990\) | 892.053 | − | 46.0065i | 0.901063 | − | 0.0464712i | ||||
\(991\) | 338.850 | + | 586.905i | 0.341927 | + | 0.592235i | 0.984791 | − | 0.173745i | \(-0.0555870\pi\) |
−0.642863 | + | 0.765981i | \(0.722254\pi\) | |||||||
\(992\) | −53.1026 | − | 198.181i | −0.0535308 | − | 0.199780i | ||||
\(993\) | 1657.63 | − | 761.258i | 1.66931 | − | 0.766624i | ||||
\(994\) | 244.483 | + | 201.131i | 0.245959 | + | 0.202345i | ||||
\(995\) | 730.489 | + | 445.562i | 0.734160 | + | 0.447801i | ||||
\(996\) | 205.308 | + | 247.587i | 0.206133 | + | 0.248582i | ||||
\(997\) | 139.591 | − | 520.960i | 0.140011 | − | 0.522527i | −0.859916 | − | 0.510435i | \(-0.829484\pi\) |
0.999927 | − | 0.0120918i | \(-0.00384904\pi\) | |||||||
\(998\) | −330.984 | − | 88.6869i | −0.331647 | − | 0.0888646i | ||||
\(999\) | −1023.66 | − | 17.8638i | −1.02468 | − | 0.0178817i |
(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 | 210.3.w.a.173.4 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.b.173.2 | yes | 64 | ||
5.2 | odd | 4 | 210.3.w.b.47.5 | yes | 64 | ||
7.3 | odd | 6 | inner | 210.3.w.a.143.9 | yes | 64 | |
15.2 | even | 4 | inner | 210.3.w.a.47.9 | yes | 64 | |
21.17 | even | 6 | 210.3.w.b.143.5 | yes | 64 | ||
35.17 | even | 12 | 210.3.w.b.17.2 | yes | 64 | ||
105.17 | odd | 12 | inner | 210.3.w.a.17.4 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.4 | ✓ | 64 | 105.17 | odd | 12 | inner | |
210.3.w.a.47.9 | yes | 64 | 15.2 | even | 4 | inner | |
210.3.w.a.143.9 | yes | 64 | 7.3 | odd | 6 | inner | |
210.3.w.a.173.4 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.17.2 | yes | 64 | 35.17 | even | 12 | ||
210.3.w.b.47.5 | yes | 64 | 5.2 | odd | 4 | ||
210.3.w.b.143.5 | yes | 64 | 21.17 | even | 6 | ||
210.3.w.b.173.2 | yes | 64 | 3.2 | odd | 2 |