Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,5,Mod(7,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.72131867102\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.9 | ||
Character | \(\chi\) | \(=\) | 36.31 |
Dual form | 36.5.f.a.7.9 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.85603 | − | 3.54333i | −0.464006 | − | 0.885832i | ||||
\(3\) | 6.53699 | + | 6.18609i | 0.726332 | + | 0.687344i | ||||
\(4\) | −9.11034 | + | 13.1530i | −0.569396 | + | 0.822063i | ||||
\(5\) | −14.8847 | + | 25.7811i | −0.595388 | + | 1.03124i | 0.398104 | + | 0.917340i | \(0.369668\pi\) |
−0.993492 | + | 0.113902i | \(0.963665\pi\) | |||||||
\(6\) | 9.78653 | − | 34.6442i | 0.271848 | − | 0.962340i | ||||
\(7\) | −51.8739 | + | 29.9494i | −1.05865 | + | 0.611212i | −0.925059 | − | 0.379824i | \(-0.875984\pi\) |
−0.133592 | + | 0.991036i | \(0.542651\pi\) | |||||||
\(8\) | 63.5145 | + | 7.86857i | 0.992413 | + | 0.122946i | ||||
\(9\) | 4.46449 | + | 80.8769i | 0.0551171 | + | 0.998480i | ||||
\(10\) | 118.977 | + | 4.89106i | 1.18977 | + | 0.0489106i | ||||
\(11\) | 195.278 | − | 112.744i | 1.61387 | − | 0.931767i | 0.625406 | − | 0.780300i | \(-0.284934\pi\) |
0.988462 | − | 0.151467i | \(-0.0483998\pi\) | |||||||
\(12\) | −140.920 | + | 29.6237i | −0.978611 | + | 0.205720i | ||||
\(13\) | −85.8824 | + | 148.753i | −0.508180 | + | 0.880194i | 0.491775 | + | 0.870722i | \(0.336348\pi\) |
−0.999955 | + | 0.00947137i | \(0.996985\pi\) | |||||||
\(14\) | 202.400 | + | 128.219i | 1.03265 | + | 0.654180i | ||||
\(15\) | −256.785 | + | 76.4524i | −1.14127 | + | 0.339788i | ||||
\(16\) | −90.0035 | − | 239.657i | −0.351576 | − | 0.936159i | ||||
\(17\) | −99.0725 | −0.342812 | −0.171406 | − | 0.985201i | \(-0.554831\pi\) | ||||
−0.171406 | + | 0.985201i | \(0.554831\pi\) | |||||||
\(18\) | 278.287 | − | 165.929i | 0.858911 | − | 0.512126i | ||||
\(19\) | − | 169.267i | − | 0.468884i | −0.972130 | − | 0.234442i | \(-0.924674\pi\) | ||
0.972130 | − | 0.234442i | \(-0.0753262\pi\) | |||||||
\(20\) | −203.494 | − | 430.653i | −0.508735 | − | 1.07663i | ||||
\(21\) | −524.369 | − | 125.118i | −1.18904 | − | 0.283714i | ||||
\(22\) | −761.929 | − | 482.678i | −1.57423 | − | 0.997270i | ||||
\(23\) | 310.777 | + | 179.427i | 0.587480 | + | 0.339182i | 0.764101 | − | 0.645097i | \(-0.223183\pi\) |
−0.176620 | + | 0.984279i | \(0.556516\pi\) | |||||||
\(24\) | 366.518 | + | 444.343i | 0.636315 | + | 0.771429i | ||||
\(25\) | −130.609 | − | 226.221i | −0.208974 | − | 0.361953i | ||||
\(26\) | 686.480 | + | 28.2206i | 1.01550 | + | 0.0417465i | ||||
\(27\) | −471.128 | + | 556.309i | −0.646266 | + | 0.763113i | ||||
\(28\) | 78.6636 | − | 955.147i | 0.100336 | − | 1.21830i | ||||
\(29\) | 9.01635 | + | 15.6168i | 0.0107210 | + | 0.0185693i | 0.871336 | − | 0.490687i | \(-0.163254\pi\) |
−0.860615 | + | 0.509256i | \(0.829921\pi\) | |||||||
\(30\) | 747.496 | + | 767.976i | 0.830551 | + | 0.853307i | ||||
\(31\) | 671.898 | + | 387.920i | 0.699165 | + | 0.403663i | 0.807036 | − | 0.590502i | \(-0.201070\pi\) |
−0.107871 | + | 0.994165i | \(0.534403\pi\) | |||||||
\(32\) | −682.133 | + | 763.721i | −0.666146 | + | 0.745821i | ||||
\(33\) | 1973.97 | + | 471.003i | 1.81265 | + | 0.432510i | ||||
\(34\) | 183.881 | + | 351.046i | 0.159067 | + | 0.303673i | ||||
\(35\) | − | 1783.15i | − | 1.45563i | ||||||
\(36\) | −1104.45 | − | 678.094i | −0.852197 | − | 0.523221i | ||||
\(37\) | 609.762 | 0.445407 | 0.222703 | − | 0.974886i | \(-0.428512\pi\) | ||||
0.222703 | + | 0.974886i | \(0.428512\pi\) | |||||||
\(38\) | −599.768 | + | 314.164i | −0.415352 | + | 0.217565i | ||||
\(39\) | −1481.61 | + | 441.118i | −0.974103 | + | 0.290019i | ||||
\(40\) | −1148.25 | + | 1520.35i | −0.717659 | + | 0.950218i | ||||
\(41\) | 206.545 | − | 357.747i | 0.122871 | − | 0.212818i | −0.798028 | − | 0.602620i | \(-0.794123\pi\) |
0.920899 | + | 0.389802i | \(0.127457\pi\) | |||||||
\(42\) | 529.909 | + | 2090.23i | 0.300402 | + | 1.18494i | ||||
\(43\) | 265.498 | − | 153.286i | 0.143590 | − | 0.0829019i | −0.426484 | − | 0.904495i | \(-0.640248\pi\) |
0.570074 | + | 0.821593i | \(0.306915\pi\) | |||||||
\(44\) | −296.127 | + | 3595.63i | −0.152958 | + | 1.85725i | ||||
\(45\) | −2151.54 | − | 1088.73i | −1.06249 | − | 0.537644i | ||||
\(46\) | 58.9591 | − | 1434.21i | 0.0278635 | − | 0.677791i | ||||
\(47\) | 2270.59 | − | 1310.93i | 1.02788 | − | 0.593447i | 0.111504 | − | 0.993764i | \(-0.464433\pi\) |
0.916377 | + | 0.400317i | \(0.131100\pi\) | |||||||
\(48\) | 894.187 | − | 2123.40i | 0.388102 | − | 0.921616i | ||||
\(49\) | 593.432 | − | 1027.85i | 0.247160 | − | 0.428094i | ||||
\(50\) | −559.161 | + | 882.661i | −0.223665 | + | 0.353064i | ||||
\(51\) | −647.636 | − | 612.872i | −0.248995 | − | 0.235629i | ||||
\(52\) | −1174.13 | − | 2484.80i | −0.434219 | − | 0.918935i | ||||
\(53\) | 2034.30 | 0.724209 | 0.362104 | − | 0.932138i | \(-0.382058\pi\) | ||||
0.362104 | + | 0.932138i | \(0.382058\pi\) | |||||||
\(54\) | 2845.61 | + | 636.835i | 0.975861 | + | 0.218393i | ||||
\(55\) | 6712.63i | 2.21905i | ||||||||
\(56\) | −3530.40 | + | 1494.05i | −1.12577 | + | 0.476418i | ||||
\(57\) | 1047.10 | − | 1106.50i | 0.322284 | − | 0.340565i | ||||
\(58\) | 38.6008 | − | 60.9330i | 0.0114747 | − | 0.0181133i | ||||
\(59\) | −2250.48 | − | 1299.32i | −0.646505 | − | 0.373260i | 0.140611 | − | 0.990065i | \(-0.455093\pi\) |
−0.787116 | + | 0.616805i | \(0.788427\pi\) | |||||||
\(60\) | 1333.82 | − | 4074.01i | 0.370506 | − | 1.13167i | ||||
\(61\) | 708.681 | + | 1227.47i | 0.190455 | + | 0.329877i | 0.945401 | − | 0.325910i | \(-0.105670\pi\) |
−0.754946 | + | 0.655786i | \(0.772337\pi\) | |||||||
\(62\) | 127.469 | − | 3100.74i | 0.0331606 | − | 0.806645i | ||||
\(63\) | −2653.80 | − | 4061.69i | −0.668633 | − | 1.02335i | ||||
\(64\) | 3972.17 | + | 999.536i | 0.969768 | + | 0.244027i | ||||
\(65\) | −2556.67 | − | 4428.28i | −0.605129 | − | 1.04811i | ||||
\(66\) | −1994.83 | − | 7868.63i | −0.457950 | − | 1.80639i | ||||
\(67\) | 5191.93 | + | 2997.56i | 1.15659 | + | 0.667758i | 0.950485 | − | 0.310772i | \(-0.100588\pi\) |
0.206106 | + | 0.978530i | \(0.433921\pi\) | |||||||
\(68\) | 902.584 | − | 1303.10i | 0.195196 | − | 0.281813i | ||||
\(69\) | 921.593 | + | 3095.41i | 0.193571 | + | 0.650160i | ||||
\(70\) | −6318.29 | + | 3309.57i | −1.28945 | + | 0.675423i | ||||
\(71\) | − | 1239.44i | − | 0.245872i | −0.992415 | − | 0.122936i | \(-0.960769\pi\) | ||
0.992415 | − | 0.122936i | \(-0.0392310\pi\) | |||||||
\(72\) | −352.826 | + | 5171.98i | −0.0680606 | + | 0.997681i | ||||
\(73\) | −5060.60 | −0.949633 | −0.474817 | − | 0.880085i | \(-0.657486\pi\) | ||||
−0.474817 | + | 0.880085i | \(0.657486\pi\) | |||||||
\(74\) | −1131.73 | − | 2160.59i | −0.206672 | − | 0.394555i | ||||
\(75\) | 545.636 | − | 2286.76i | 0.0970019 | − | 0.406535i | ||||
\(76\) | 2226.37 | + | 1542.08i | 0.385452 | + | 0.266980i | ||||
\(77\) | −6753.22 | + | 11696.9i | −1.13901 | + | 1.97283i | ||||
\(78\) | 4312.93 | + | 4431.11i | 0.708898 | + | 0.728321i | ||||
\(79\) | 1635.99 | − | 944.538i | 0.262135 | − | 0.151344i | −0.363173 | − | 0.931722i | \(-0.618307\pi\) |
0.625308 | + | 0.780378i | \(0.284973\pi\) | |||||||
\(80\) | 7518.28 | + | 1246.83i | 1.17473 | + | 0.194818i | ||||
\(81\) | −6521.14 | + | 722.147i | −0.993924 | + | 0.110067i | ||||
\(82\) | −1650.97 | − | 67.8700i | −0.245534 | − | 0.0100937i | ||||
\(83\) | −5831.54 | + | 3366.84i | −0.846500 | + | 0.488727i | −0.859469 | − | 0.511189i | \(-0.829205\pi\) |
0.0129681 | + | 0.999916i | \(0.495872\pi\) | |||||||
\(84\) | 6422.85 | − | 5757.16i | 0.910268 | − | 0.815925i | ||||
\(85\) | 1474.66 | − | 2554.19i | 0.204106 | − | 0.353522i | ||||
\(86\) | −1035.91 | − | 656.246i | −0.140064 | − | 0.0887298i | ||||
\(87\) | −37.6671 | + | 157.863i | −0.00497649 | + | 0.0208565i | ||||
\(88\) | 13290.1 | − | 5624.30i | 1.71618 | − | 0.726279i | ||||
\(89\) | 9436.67 | 1.19135 | 0.595674 | − | 0.803226i | \(-0.296885\pi\) | ||||
0.595674 | + | 0.803226i | \(0.296885\pi\) | |||||||
\(90\) | 135.598 | + | 9644.33i | 0.0167405 | + | 1.19066i | ||||
\(91\) | − | 10288.5i | − | 1.24242i | ||||||
\(92\) | −5191.29 | + | 2453.01i | −0.613338 | + | 0.289817i | ||||
\(93\) | 1992.48 | + | 6692.25i | 0.230371 | + | 0.773760i | ||||
\(94\) | −8859.31 | − | 5612.33i | −1.00264 | − | 0.635166i | ||||
\(95\) | 4363.88 | + | 2519.49i | 0.483533 | + | 0.279168i | ||||
\(96\) | −9183.55 | + | 772.696i | −0.996479 | + | 0.0838429i | ||||
\(97\) | 7297.91 | + | 12640.4i | 0.775631 | + | 1.34343i | 0.934439 | + | 0.356123i | \(0.115902\pi\) |
−0.158808 | + | 0.987309i | \(0.550765\pi\) | |||||||
\(98\) | −4743.45 | − | 195.000i | −0.493904 | − | 0.0203040i | ||||
\(99\) | 9990.18 | + | 15290.1i | 1.01930 | + | 1.56006i | ||||
\(100\) | 4165.37 | + | 343.050i | 0.416537 | + | 0.0343050i | ||||
\(101\) | −3230.71 | − | 5595.76i | −0.316705 | − | 0.548550i | 0.663093 | − | 0.748537i | \(-0.269243\pi\) |
−0.979799 | + | 0.199987i | \(0.935910\pi\) | |||||||
\(102\) | −969.576 | + | 3432.29i | −0.0931927 | + | 0.329901i | ||||
\(103\) | −13991.6 | − | 8078.04i | −1.31884 | − | 0.761432i | −0.335298 | − | 0.942112i | \(-0.608837\pi\) |
−0.983542 | + | 0.180680i | \(0.942170\pi\) | |||||||
\(104\) | −6625.25 | + | 8772.18i | −0.612541 | + | 0.811037i | ||||
\(105\) | 11030.7 | − | 11656.4i | 1.00052 | − | 1.05727i | ||||
\(106\) | −3775.72 | − | 7208.20i | −0.336037 | − | 0.641527i | ||||
\(107\) | 3065.27i | 0.267732i | 0.990999 | + | 0.133866i | \(0.0427392\pi\) | ||||
−0.990999 | + | 0.133866i | \(0.957261\pi\) | |||||||
\(108\) | −3025.01 | − | 11264.9i | −0.259346 | − | 0.965785i | ||||
\(109\) | −17728.8 | −1.49220 | −0.746098 | − | 0.665836i | \(-0.768075\pi\) | ||||
−0.746098 | + | 0.665836i | \(0.768075\pi\) | |||||||
\(110\) | 23785.1 | − | 12458.8i | 1.96571 | − | 1.02965i | ||||
\(111\) | 3986.01 | + | 3772.04i | 0.323513 | + | 0.306147i | ||||
\(112\) | 11846.4 | + | 9736.37i | 0.944388 | + | 0.776178i | ||||
\(113\) | 7396.56 | − | 12811.2i | 0.579259 | − | 1.00331i | −0.416305 | − | 0.909225i | \(-0.636675\pi\) |
0.995565 | − | 0.0940814i | \(-0.0299914\pi\) | |||||||
\(114\) | −5864.13 | − | 1656.54i | −0.451225 | − | 0.127465i | ||||
\(115\) | −9251.65 | + | 5341.44i | −0.699558 | + | 0.403890i | ||||
\(116\) | −287.550 | − | 23.6819i | −0.0213696 | − | 0.00175995i | ||||
\(117\) | −12414.1 | − | 6281.80i | −0.906865 | − | 0.458894i | ||||
\(118\) | −426.951 | + | 10385.8i | −0.0306629 | + | 0.745890i | ||||
\(119\) | 5139.28 | − | 2967.16i | 0.362918 | − | 0.209531i | ||||
\(120\) | −16911.1 | + | 2835.30i | −1.17438 | + | 0.196896i | ||||
\(121\) | 18101.8 | − | 31353.3i | 1.23638 | − | 2.14147i | ||||
\(122\) | 3034.00 | − | 4789.31i | 0.203843 | − | 0.321776i | ||||
\(123\) | 3563.24 | − | 1060.88i | 0.235524 | − | 0.0701223i | ||||
\(124\) | −11223.5 | + | 5303.40i | −0.729939 | + | 0.344914i | ||||
\(125\) | −10829.6 | −0.693094 | ||||||||
\(126\) | −9466.36 | + | 16941.9i | −0.596269 | + | 1.06714i | ||||
\(127\) | − | 18478.7i | − | 1.14568i | −0.819667 | − | 0.572841i | \(-0.805841\pi\) | ||
0.819667 | − | 0.572841i | \(-0.194159\pi\) | |||||||
\(128\) | −3830.77 | − | 15929.9i | −0.233812 | − | 0.972282i | ||||
\(129\) | 2683.80 | + | 640.372i | 0.161276 | + | 0.0384816i | ||||
\(130\) | −10945.6 | + | 17278.1i | −0.647669 | + | 1.02237i | ||||
\(131\) | 7205.95 | + | 4160.35i | 0.419902 | + | 0.242431i | 0.695036 | − | 0.718975i | \(-0.255389\pi\) |
−0.275133 | + | 0.961406i | \(0.588722\pi\) | |||||||
\(132\) | −24178.7 | + | 21672.7i | −1.38767 | + | 1.24384i | ||||
\(133\) | 5069.44 | + | 8780.53i | 0.286587 | + | 0.496384i | ||||
\(134\) | 984.989 | − | 23960.3i | 0.0548557 | − | 1.33439i | ||||
\(135\) | −7329.64 | − | 20426.7i | −0.402175 | − | 1.12080i | ||||
\(136\) | −6292.54 | − | 779.559i | −0.340211 | − | 0.0421474i | ||||
\(137\) | 10703.4 | + | 18538.7i | 0.570268 | + | 0.987732i | 0.996538 | + | 0.0831367i | \(0.0264938\pi\) |
−0.426271 | + | 0.904596i | \(0.640173\pi\) | |||||||
\(138\) | 9257.55 | − | 9010.67i | 0.486114 | − | 0.473150i | ||||
\(139\) | −15783.6 | − | 9112.67i | −0.816915 | − | 0.471646i | 0.0324367 | − | 0.999474i | \(-0.489673\pi\) |
−0.849351 | + | 0.527828i | \(0.823007\pi\) | |||||||
\(140\) | 23453.8 | + | 16245.1i | 1.19662 | + | 0.828832i | ||||
\(141\) | 22952.3 | + | 5476.57i | 1.15449 | + | 0.275468i | ||||
\(142\) | −4391.75 | + | 2300.44i | −0.217802 | + | 0.114086i | ||||
\(143\) | 38730.8i | 1.89402i | ||||||||
\(144\) | 18980.9 | − | 8349.15i | 0.915358 | − | 0.402640i | ||||
\(145\) | −536.823 | −0.0255326 | ||||||||
\(146\) | 9392.60 | + | 17931.3i | 0.440636 | + | 0.841215i | ||||
\(147\) | 10237.7 | − | 3048.05i | 0.473769 | − | 0.141055i | ||||
\(148\) | −5555.13 | + | 8020.20i | −0.253613 | + | 0.366152i | ||||
\(149\) | 8119.72 | − | 14063.8i | 0.365736 | − | 0.633474i | −0.623158 | − | 0.782096i | \(-0.714150\pi\) |
0.988894 | + | 0.148622i | \(0.0474838\pi\) | |||||||
\(150\) | −9115.46 | + | 2310.92i | −0.405131 | + | 0.102708i | ||||
\(151\) | 21240.4 | − | 12263.2i | 0.931557 | − | 0.537835i | 0.0442533 | − | 0.999020i | \(-0.485909\pi\) |
0.887304 | + | 0.461186i | \(0.152576\pi\) | |||||||
\(152\) | 1331.89 | − | 10750.9i | 0.0576476 | − | 0.465326i | ||||
\(153\) | −442.308 | − | 8012.68i | −0.0188948 | − | 0.342290i | ||||
\(154\) | 53980.1 | + | 2219.08i | 2.27611 | + | 0.0935690i | ||||
\(155\) | −20002.0 | + | 11548.2i | −0.832549 | + | 0.480672i | ||||
\(156\) | 7695.94 | − | 23506.4i | 0.316237 | − | 0.965910i | ||||
\(157\) | −19827.0 | + | 34341.4i | −0.804375 | + | 1.39322i | 0.112337 | + | 0.993670i | \(0.464166\pi\) |
−0.916712 | + | 0.399548i | \(0.869167\pi\) | |||||||
\(158\) | −6383.24 | − | 4043.75i | −0.255698 | − | 0.161983i | ||||
\(159\) | 13298.2 | + | 12584.4i | 0.526016 | + | 0.497780i | ||||
\(160\) | −9536.19 | − | 28953.9i | −0.372507 | − | 1.13101i | ||||
\(161\) | −21494.9 | −0.829248 | ||||||||
\(162\) | 14662.2 | + | 21766.2i | 0.558688 | + | 0.829378i | ||||
\(163\) | 25324.6i | 0.953162i | 0.879130 | + | 0.476581i | \(0.158124\pi\) | ||||
−0.879130 | + | 0.476581i | \(0.841876\pi\) | |||||||
\(164\) | 2823.75 | + | 5975.89i | 0.104988 | + | 0.222185i | ||||
\(165\) | −41525.0 | + | 43880.4i | −1.52525 | + | 1.61177i | ||||
\(166\) | 22753.3 | + | 14414.1i | 0.825712 | + | 0.523084i | ||||
\(167\) | −24109.7 | − | 13919.8i | −0.864490 | − | 0.499113i | 0.00102363 | − | 0.999999i | \(-0.499674\pi\) |
−0.865513 | + | 0.500886i | \(0.833008\pi\) | |||||||
\(168\) | −32320.5 | − | 12072.8i | −1.14514 | − | 0.427750i | ||||
\(169\) | −471.081 | − | 815.937i | −0.0164939 | − | 0.0285682i | ||||
\(170\) | −11787.4 | − | 484.569i | −0.407867 | − | 0.0167671i | ||||
\(171\) | 13689.8 | − | 755.690i | 0.468171 | − | 0.0258435i | ||||
\(172\) | −402.612 | + | 4888.59i | −0.0136091 | + | 0.165244i | ||||
\(173\) | 11027.3 | + | 19099.8i | 0.368448 | + | 0.638170i | 0.989323 | − | 0.145739i | \(-0.0465560\pi\) |
−0.620875 | + | 0.783909i | \(0.713223\pi\) | |||||||
\(174\) | 629.270 | − | 159.531i | 0.0207845 | − | 0.00526921i | ||||
\(175\) | 13550.4 | + | 7823.30i | 0.442461 | + | 0.255455i | ||||
\(176\) | −44595.5 | − | 36652.4i | −1.43968 | − | 1.18325i | ||||
\(177\) | −6673.69 | − | 22415.3i | −0.213020 | − | 0.715482i | ||||
\(178\) | −17514.7 | − | 33437.2i | −0.552794 | − | 1.05533i | ||||
\(179\) | − | 52513.4i | − | 1.63895i | −0.573118 | − | 0.819473i | \(-0.694266\pi\) | ||
0.573118 | − | 0.819473i | \(-0.305734\pi\) | |||||||
\(180\) | 33921.4 | − | 18380.6i | 1.04696 | − | 0.567302i | ||||
\(181\) | −7223.25 | −0.220483 | −0.110242 | − | 0.993905i | \(-0.535162\pi\) | ||||
−0.110242 | + | 0.993905i | \(0.535162\pi\) | |||||||
\(182\) | −36455.5 | + | 19095.7i | −1.10058 | + | 0.576492i | ||||
\(183\) | −2960.61 | + | 12407.9i | −0.0884056 | + | 0.370508i | ||||
\(184\) | 18327.0 | + | 13841.6i | 0.541322 | + | 0.408837i | ||||
\(185\) | −9076.12 | + | 15720.3i | −0.265190 | + | 0.459322i | ||||
\(186\) | 20014.8 | − | 19481.0i | 0.578528 | − | 0.563100i | ||||
\(187\) | −19346.7 | + | 11169.8i | −0.553252 | + | 0.319420i | ||||
\(188\) | −3443.21 | + | 41808.1i | −0.0974200 | + | 1.18289i | ||||
\(189\) | 7778.09 | − | 42967.9i | 0.217746 | − | 1.20287i | ||||
\(190\) | 827.894 | − | 20138.9i | 0.0229334 | − | 0.557864i | ||||
\(191\) | −9164.94 | + | 5291.38i | −0.251225 | + | 0.145045i | −0.620325 | − | 0.784345i | \(-0.712999\pi\) |
0.369100 | + | 0.929390i | \(0.379666\pi\) | |||||||
\(192\) | 19782.8 | + | 31106.2i | 0.536643 | + | 0.843809i | ||||
\(193\) | 19543.2 | − | 33849.9i | 0.524665 | − | 0.908746i | −0.474923 | − | 0.880028i | \(-0.657524\pi\) |
0.999588 | − | 0.0287188i | \(-0.00914273\pi\) | |||||||
\(194\) | 31243.8 | − | 49319.7i | 0.830157 | − | 1.31044i | ||||
\(195\) | 10680.8 | − | 44763.4i | 0.280890 | − | 1.17721i | ||||
\(196\) | 8113.02 | + | 17169.5i | 0.211189 | + | 0.446937i | ||||
\(197\) | −10820.0 | −0.278802 | −0.139401 | − | 0.990236i | \(-0.544518\pi\) | ||||
−0.139401 | + | 0.990236i | \(0.544518\pi\) | |||||||
\(198\) | 35635.9 | − | 63777.4i | 0.908986 | − | 1.62681i | ||||
\(199\) | − | 807.389i | − | 0.0203881i | −0.999948 | − | 0.0101940i | \(-0.996755\pi\) | ||
0.999948 | − | 0.0101940i | \(-0.00324492\pi\) | |||||||
\(200\) | −6515.50 | − | 15396.0i | −0.162888 | − | 0.384900i | ||||
\(201\) | 15396.4 | + | 51712.8i | 0.381090 | + | 1.27999i | ||||
\(202\) | −13831.3 | + | 21833.3i | −0.338970 | + | 0.535078i | ||||
\(203\) | −935.426 | − | 540.068i | −0.0226996 | − | 0.0131056i | ||||
\(204\) | 13961.3 | − | 2934.90i | 0.335479 | − | 0.0705233i | ||||
\(205\) | 6148.73 | + | 10649.9i | 0.146311 | + | 0.253419i | ||||
\(206\) | −2654.41 | + | 64569.8i | −0.0625510 | + | 1.52158i | ||||
\(207\) | −13124.1 | + | 25935.7i | −0.306286 | + | 0.605282i | ||||
\(208\) | 43379.3 | + | 7194.03i | 1.00267 | + | 0.166282i | ||||
\(209\) | −19083.8 | − | 33054.1i | −0.436890 | − | 0.756716i | ||||
\(210\) | −61775.9 | − | 17450.9i | −1.40081 | − | 0.395711i | ||||
\(211\) | 52683.9 | + | 30417.0i | 1.18335 | + | 0.683207i | 0.956787 | − | 0.290790i | \(-0.0939181\pi\) |
0.226562 | + | 0.973997i | \(0.427251\pi\) | |||||||
\(212\) | −18533.2 | + | 26757.2i | −0.412361 | + | 0.595345i | ||||
\(213\) | 7667.31 | − | 8102.22i | 0.168999 | − | 0.178585i | ||||
\(214\) | 10861.2 | − | 5689.21i | 0.237166 | − | 0.124229i | ||||
\(215\) | 9126.44i | 0.197435i | ||||||||
\(216\) | −34300.8 | + | 31626.6i | −0.735185 | + | 0.677867i | ||||
\(217\) | −46471.9 | −0.986895 | ||||||||
\(218\) | 32905.1 | + | 62818.9i | 0.692389 | + | 1.32184i | ||||
\(219\) | −33081.1 | − | 31305.3i | −0.689749 | − | 0.652724i | ||||
\(220\) | −88291.3 | − | 61154.3i | −1.82420 | − | 1.26352i | ||||
\(221\) | 8508.59 | − | 14737.3i | 0.174210 | − | 0.301741i | ||||
\(222\) | 5967.45 | − | 21124.7i | 0.121083 | − | 0.428633i | ||||
\(223\) | 9292.11 | − | 5364.80i | 0.186855 | − | 0.107881i | −0.403654 | − | 0.914912i | \(-0.632260\pi\) |
0.590509 | + | 0.807031i | \(0.298927\pi\) | |||||||
\(224\) | 12511.9 | − | 60046.6i | 0.249361 | − | 1.19672i | ||||
\(225\) | 17712.9 | − | 11573.2i | 0.349885 | − | 0.228606i | ||||
\(226\) | −59122.5 | − | 2430.48i | −1.15754 | − | 0.0475856i | ||||
\(227\) | 65585.2 | − | 37865.7i | 1.27278 | − | 0.734842i | 0.297272 | − | 0.954793i | \(-0.403923\pi\) |
0.975511 | + | 0.219951i | \(0.0705898\pi\) | |||||||
\(228\) | 5014.32 | + | 23853.1i | 0.0964589 | + | 0.458855i | ||||
\(229\) | 26683.3 | − | 46216.8i | 0.508825 | − | 0.881311i | −0.491123 | − | 0.871090i | \(-0.663413\pi\) |
0.999948 | − | 0.0102204i | \(-0.00325330\pi\) | |||||||
\(230\) | 36097.8 | + | 22867.8i | 0.682378 | + | 0.432283i | ||||
\(231\) | −116504. | + | 34686.6i | −2.18332 | + | 0.650036i | ||||
\(232\) | 449.787 | + | 1062.84i | 0.00835662 | + | 0.0197465i | ||||
\(233\) | 56485.5 | 1.04046 | 0.520230 | − | 0.854026i | \(-0.325846\pi\) | ||||
0.520230 | + | 0.854026i | \(0.325846\pi\) | |||||||
\(234\) | 782.381 | + | 55646.3i | 0.0142885 | + | 1.01626i | ||||
\(235\) | 78050.9i | 1.41333i | ||||||||
\(236\) | 37592.6 | − | 17763.4i | 0.674961 | − | 0.318935i | ||||
\(237\) | 16537.4 | + | 3945.94i | 0.294423 | + | 0.0702511i | ||||
\(238\) | −20052.3 | − | 12703.0i | −0.354005 | − | 0.224260i | ||||
\(239\) | 41561.8 | + | 23995.7i | 0.727610 | + | 0.420086i | 0.817547 | − | 0.575862i | \(-0.195333\pi\) |
−0.0899375 | + | 0.995947i | \(0.528667\pi\) | |||||||
\(240\) | 41433.9 | + | 54659.3i | 0.719339 | + | 0.948947i | ||||
\(241\) | 32075.1 | + | 55555.6i | 0.552247 | + | 0.956520i | 0.998112 | + | 0.0614196i | \(0.0195628\pi\) |
−0.445865 | + | 0.895100i | \(0.647104\pi\) | |||||||
\(242\) | −144692. | − | 5948.19i | −2.47067 | − | 0.101567i | ||||
\(243\) | −47095.9 | − | 35619.7i | −0.797573 | − | 0.603223i | ||||
\(244\) | −22601.3 | − | 1861.39i | −0.379624 | − | 0.0312649i | ||||
\(245\) | 17666.1 | + | 30598.6i | 0.294313 | + | 0.509764i | ||||
\(246\) | −10372.5 | − | 10656.7i | −0.171401 | − | 0.176097i | ||||
\(247\) | 25178.9 | + | 14537.1i | 0.412708 | + | 0.238277i | ||||
\(248\) | 39622.8 | + | 29925.4i | 0.644232 | + | 0.486561i | ||||
\(249\) | −58948.3 | − | 14065.4i | −0.950764 | − | 0.226858i | ||||
\(250\) | 20100.0 | + | 38372.8i | 0.321600 | + | 0.613965i | ||||
\(251\) | − | 65230.8i | − | 1.03539i | −0.855564 | − | 0.517696i | \(-0.826790\pi\) | ||
0.855564 | − | 0.517696i | \(-0.173210\pi\) | |||||||
\(252\) | 77600.5 | + | 2097.83i | 1.22198 | + | 0.0330346i | ||||
\(253\) | 80917.3 | 1.26415 | ||||||||
\(254\) | −65476.1 | + | 34296.9i | −1.01488 | + | 0.531604i | ||||
\(255\) | 25440.4 | − | 7574.33i | 0.391240 | − | 0.116483i | ||||
\(256\) | −49334.7 | + | 43139.9i | −0.752788 | + | 0.658263i | ||||
\(257\) | 21657.9 | − | 37512.6i | 0.327907 | − | 0.567951i | −0.654190 | − | 0.756331i | \(-0.726990\pi\) |
0.982096 | + | 0.188380i | \(0.0603235\pi\) | |||||||
\(258\) | −2712.15 | − | 10698.1i | −0.0407451 | − | 0.160719i | ||||
\(259\) | −31630.7 | + | 18262.0i | −0.471530 | + | 0.272238i | ||||
\(260\) | 81537.3 | + | 6715.22i | 1.20617 | + | 0.0993376i | ||||
\(261\) | −1222.78 | + | 798.935i | −0.0179502 | + | 0.0117282i | ||||
\(262\) | 1367.08 | − | 33254.7i | 0.0199155 | − | 0.484452i | ||||
\(263\) | 73443.4 | − | 42402.6i | 1.06180 | − | 0.613029i | 0.135868 | − | 0.990727i | \(-0.456618\pi\) |
0.925929 | + | 0.377698i | \(0.123284\pi\) | |||||||
\(264\) | 121670. | + | 45447.8i | 1.74572 | + | 0.652087i | ||||
\(265\) | −30280.0 | + | 52446.5i | −0.431185 | + | 0.746835i | ||||
\(266\) | 21703.3 | − | 34259.6i | 0.306734 | − | 0.484193i | ||||
\(267\) | 61687.4 | + | 58376.2i | 0.865315 | + | 0.818866i | ||||
\(268\) | −86727.3 | + | 40980.8i | −1.20750 | + | 0.570572i | ||||
\(269\) | −66685.5 | −0.921567 | −0.460784 | − | 0.887513i | \(-0.652432\pi\) | ||||
−0.460784 | + | 0.887513i | \(0.652432\pi\) | |||||||
\(270\) | −58774.3 | + | 63883.7i | −0.806232 | + | 0.876320i | ||||
\(271\) | − | 122426.i | − | 1.66700i | −0.552516 | − | 0.833502i | \(-0.686332\pi\) | ||
0.552516 | − | 0.833502i | \(-0.313668\pi\) | |||||||
\(272\) | 8916.88 | + | 23743.4i | 0.120524 | + | 0.320926i | ||||
\(273\) | 63645.7 | − | 67255.9i | 0.853972 | − | 0.902412i | ||||
\(274\) | 45823.2 | − | 72333.9i | 0.610357 | − | 0.963475i | ||||
\(275\) | −51010.0 | − | 29450.6i | −0.674512 | − | 0.389430i | ||||
\(276\) | −49110.0 | − | 16078.5i | −0.644691 | − | 0.211070i | ||||
\(277\) | −68726.1 | − | 119037.i | −0.895699 | − | 1.55140i | −0.832937 | − | 0.553367i | \(-0.813343\pi\) |
−0.0627613 | − | 0.998029i | \(-0.519991\pi\) | |||||||
\(278\) | −2994.39 | + | 72839.8i | −0.0387453 | + | 0.942496i | ||||
\(279\) | −28374.1 | + | 56072.9i | −0.364514 | + | 0.720351i | ||||
\(280\) | 14030.8 | − | 113256.i | 0.178965 | − | 1.44459i | ||||
\(281\) | −7001.61 | − | 12127.2i | −0.0886718 | − | 0.153584i | 0.818278 | − | 0.574822i | \(-0.194929\pi\) |
−0.906950 | + | 0.421238i | \(0.861596\pi\) | |||||||
\(282\) | −23194.8 | − | 91492.3i | −0.291671 | − | 1.15050i | ||||
\(283\) | −99634.2 | − | 57523.8i | −1.24404 | − | 0.718249i | −0.274129 | − | 0.961693i | \(-0.588389\pi\) |
−0.969915 | + | 0.243444i | \(0.921723\pi\) | |||||||
\(284\) | 16302.4 | + | 11291.7i | 0.202123 | + | 0.139999i | ||||
\(285\) | 12940.9 | + | 43465.3i | 0.159321 | + | 0.535122i | ||||
\(286\) | 137236. | − | 71885.5i | 1.67778 | − | 0.878838i | ||||
\(287\) | 24743.6i | 0.300400i | ||||||||
\(288\) | −64812.8 | − | 51759.2i | −0.781404 | − | 0.624026i | ||||
\(289\) | −73705.6 | −0.882480 | ||||||||
\(290\) | 996.357 | + | 1902.14i | 0.0118473 | + | 0.0226176i | ||||
\(291\) | −30488.0 | + | 127775.i | −0.360034 | + | 1.50890i | ||||
\(292\) | 46103.7 | − | 66562.1i | 0.540717 | − | 0.780659i | ||||
\(293\) | −14259.3 | + | 24697.8i | −0.166097 | + | 0.287689i | −0.937044 | − | 0.349210i | \(-0.886450\pi\) |
0.770947 | + | 0.636899i | \(0.219783\pi\) | |||||||
\(294\) | −29801.6 | − | 30618.1i | −0.344782 | − | 0.354229i | ||||
\(295\) | 66995.6 | − | 38679.9i | 0.769843 | − | 0.444469i | ||||
\(296\) | 38728.7 | + | 4797.95i | 0.442027 | + | 0.0547611i | ||||
\(297\) | −29280.5 | + | 161752.i | −0.331944 | + | 1.83373i | ||||
\(298\) | −64902.9 | − | 2668.11i | −0.730856 | − | 0.0300449i | ||||
\(299\) | −53380.6 | + | 30819.3i | −0.597092 | + | 0.344731i | ||||
\(300\) | 25106.9 | + | 28009.9i | 0.278965 | + | 0.311221i | ||||
\(301\) | −9181.62 | + | 15903.0i | −0.101341 | + | 0.175528i | ||||
\(302\) | −82875.2 | − | 52501.0i | −0.908679 | − | 0.575644i | ||||
\(303\) | 13496.7 | − | 56564.9i | 0.147009 | − | 0.616115i | ||||
\(304\) | −40566.0 | + | 15234.6i | −0.438950 | + | 0.164848i | ||||
\(305\) | −42194.0 | −0.453577 | ||||||||
\(306\) | −27570.6 | + | 16439.0i | −0.294444 | + | 0.175563i | ||||
\(307\) | 115338.i | 1.22376i | 0.790952 | + | 0.611879i | \(0.209586\pi\) | ||||
−0.790952 | + | 0.611879i | \(0.790414\pi\) | |||||||
\(308\) | −92325.6 | − | 195388.i | −0.973242 | − | 2.05966i | ||||
\(309\) | −41491.3 | − | 139359.i | −0.434550 | − | 1.45955i | ||||
\(310\) | 78043.1 | + | 49439.9i | 0.812103 | + | 0.514463i | ||||
\(311\) | 85566.6 | + | 49401.9i | 0.884674 | + | 0.510767i | 0.872197 | − | 0.489155i | \(-0.162695\pi\) |
0.0124776 | + | 0.999922i | \(0.496028\pi\) | |||||||
\(312\) | −97574.7 | + | 16359.2i | −1.00237 | + | 0.168056i | ||||
\(313\) | 37066.1 | + | 64200.3i | 0.378345 | + | 0.655313i | 0.990822 | − | 0.135176i | \(-0.0431600\pi\) |
−0.612477 | + | 0.790489i | \(0.709827\pi\) | |||||||
\(314\) | 158482. | + | 6515.09i | 1.60739 | + | 0.0660786i | ||||
\(315\) | 144216. | − | 7960.85i | 1.45342 | − | 0.0802303i | ||||
\(316\) | −2480.88 | + | 30123.2i | −0.0248445 | + | 0.301667i | ||||
\(317\) | 1057.30 | + | 1831.29i | 0.0105215 | + | 0.0182238i | 0.871238 | − | 0.490860i | \(-0.163318\pi\) |
−0.860717 | + | 0.509084i | \(0.829984\pi\) | |||||||
\(318\) | 19908.8 | − | 70476.9i | 0.196875 | − | 0.696935i | ||||
\(319\) | 3521.39 | + | 2033.08i | 0.0346045 | + | 0.0199789i | ||||
\(320\) | −84893.7 | + | 87529.0i | −0.829040 | + | 0.854775i | ||||
\(321\) | −18962.0 | + | 20037.6i | −0.184024 | + | 0.194463i | ||||
\(322\) | 39895.2 | + | 76163.6i | 0.384777 | + | 0.734575i | ||||
\(323\) | 16769.7i | 0.160739i | ||||||||
\(324\) | 49911.3 | − | 92351.6i | 0.475455 | − | 0.879740i | ||||
\(325\) | 44868.0 | 0.424785 | ||||||||
\(326\) | 89733.2 | − | 47003.1i | 0.844342 | − | 0.442273i | ||||
\(327\) | −115893. | − | 109672.i | −1.08383 | − | 1.02565i | ||||
\(328\) | 15933.6 | − | 21096.9i | 0.148104 | − | 0.196097i | ||||
\(329\) | −78522.8 | + | 136006.i | −0.725444 | + | 1.25651i | ||||
\(330\) | 232554. | + | 65693.4i | 2.13548 | + | 0.603245i | ||||
\(331\) | 12334.0 | − | 7121.02i | 0.112576 | − | 0.0649960i | −0.442655 | − | 0.896692i | \(-0.645963\pi\) |
0.555231 | + | 0.831696i | \(0.312630\pi\) | |||||||
\(332\) | 8843.19 | − | 107375.i | 0.0802292 | − | 0.974156i | ||||
\(333\) | 2722.27 | + | 49315.6i | 0.0245495 | + | 0.444730i | ||||
\(334\) | −4573.98 | + | 111264.i | −0.0410017 | + | 0.997384i | ||||
\(335\) | −154561. | + | 89235.7i | −1.37724 | + | 0.795150i | ||||
\(336\) | 17209.7 | + | 136930.i | 0.152439 | + | 1.21288i | ||||
\(337\) | −37711.8 | + | 65318.7i | −0.332061 | + | 0.575146i | −0.982916 | − | 0.184056i | \(-0.941077\pi\) |
0.650855 | + | 0.759202i | \(0.274411\pi\) | |||||||
\(338\) | −2016.79 | + | 3183.59i | −0.0176534 | + | 0.0278666i | ||||
\(339\) | 127603. | − | 37991.0i | 1.11035 | − | 0.330584i | ||||
\(340\) | 20160.7 | + | 42665.9i | 0.174400 | + | 0.369082i | ||||
\(341\) | 174942. | 1.50448 | ||||||||
\(342\) | −28086.2 | − | 47104.8i | −0.240127 | − | 0.402729i | ||||
\(343\) | − | 72725.3i | − | 0.618155i | ||||||
\(344\) | 18069.1 | − | 7646.75i | 0.152693 | − | 0.0646190i | ||||
\(345\) | −93520.6 | − | 22314.6i | −0.785722 | − | 0.187478i | ||||
\(346\) | 47209.9 | − | 74522.9i | 0.394349 | − | 0.622498i | ||||
\(347\) | −128553. | − | 74220.2i | −1.06764 | − | 0.616401i | −0.140103 | − | 0.990137i | \(-0.544743\pi\) |
−0.927535 | + | 0.373736i | \(0.878077\pi\) | |||||||
\(348\) | −1733.21 | − | 1933.62i | −0.0143118 | − | 0.0159666i | ||||
\(349\) | 11665.4 | + | 20205.1i | 0.0957745 | + | 0.165886i | 0.909932 | − | 0.414758i | \(-0.136134\pi\) |
−0.814157 | + | 0.580645i | \(0.802801\pi\) | |||||||
\(350\) | 2570.71 | − | 62533.6i | 0.0209854 | − | 0.510478i | ||||
\(351\) | −42290.9 | − | 117859.i | −0.343268 | − | 0.956637i | ||||
\(352\) | −47100.8 | + | 226044.i | −0.380140 | + | 1.82435i | ||||
\(353\) | −9687.21 | − | 16778.7i | −0.0777409 | − | 0.134651i | 0.824534 | − | 0.565812i | \(-0.191437\pi\) |
−0.902275 | + | 0.431161i | \(0.858104\pi\) | |||||||
\(354\) | −67038.3 | + | 65250.5i | −0.534954 | + | 0.520688i | ||||
\(355\) | 31954.1 | + | 18448.7i | 0.253554 | + | 0.146389i | ||||
\(356\) | −85971.3 | + | 124121.i | −0.678349 | + | 0.979364i | ||||
\(357\) | 51950.5 | + | 12395.7i | 0.407618 | + | 0.0972603i | ||||
\(358\) | −186072. | + | 97466.3i | −1.45183 | + | 0.760481i | ||||
\(359\) | 139927.i | 1.08571i | 0.839827 | + | 0.542854i | \(0.182656\pi\) | ||||
−0.839827 | + | 0.542854i | \(0.817344\pi\) | |||||||
\(360\) | −128087. | − | 86079.6i | −0.988329 | − | 0.664194i | ||||
\(361\) | 101670. | 0.780148 | ||||||||
\(362\) | 13406.5 | + | 25594.4i | 0.102306 | + | 0.195311i | ||||
\(363\) | 312286. | − | 92976.5i | 2.36995 | − | 0.705603i | ||||
\(364\) | 135325. | + | 93731.7i | 1.02135 | + | 0.707431i | ||||
\(365\) | 75325.5 | − | 130468.i | 0.565400 | − | 0.979302i | ||||
\(366\) | 49460.4 | − | 12539.0i | 0.369229 | − | 0.0936056i | ||||
\(367\) | −79304.5 | + | 45786.5i | −0.588797 | + | 0.339942i | −0.764622 | − | 0.644479i | \(-0.777074\pi\) |
0.175825 | + | 0.984421i | \(0.443741\pi\) | |||||||
\(368\) | 15029.9 | − | 90628.9i | 0.110984 | − | 0.669224i | ||||
\(369\) | 29855.6 | + | 15107.6i | 0.219267 | + | 0.110954i | ||||
\(370\) | 72547.7 | + | 2982.38i | 0.529932 | + | 0.0217851i | ||||
\(371\) | −105527. | + | 60926.1i | −0.766684 | + | 0.442645i | ||||
\(372\) | −106175. | − | 34761.6i | −0.767252 | − | 0.251197i | ||||
\(373\) | −42790.4 | + | 74115.1i | −0.307559 | + | 0.532708i | −0.977828 | − | 0.209411i | \(-0.932845\pi\) |
0.670269 | + | 0.742118i | \(0.266179\pi\) | |||||||
\(374\) | 75486.3 | + | 47820.2i | 0.539666 | + | 0.341875i | ||||
\(375\) | −70792.9 | − | 66992.9i | −0.503416 | − | 0.476394i | ||||
\(376\) | 154530. | − | 65396.4i | 1.09304 | − | 0.462571i | ||||
\(377\) | −3097.38 | −0.0217928 | ||||||||
\(378\) | −166686. | + | 52189.2i | −1.16658 | + | 0.365256i | ||||
\(379\) | − | 39838.1i | − | 0.277345i | −0.990338 | − | 0.138672i | \(-0.955716\pi\) | ||
0.990338 | − | 0.138672i | \(-0.0442835\pi\) | |||||||
\(380\) | −72895.3 | + | 34444.8i | −0.504815 | + | 0.238537i | ||||
\(381\) | 114311. | − | 120795.i | 0.787477 | − | 0.832146i | ||||
\(382\) | 35759.4 | + | 22653.4i | 0.245055 | + | 0.155241i | ||||
\(383\) | 147816. | + | 85341.8i | 1.00769 | + | 0.581787i | 0.910513 | − | 0.413480i | \(-0.135687\pi\) |
0.0971722 | + | 0.995268i | \(0.469020\pi\) | |||||||
\(384\) | 73501.9 | − | 127831.i | 0.498467 | − | 0.866909i | ||||
\(385\) | −201039. | − | 348210.i | −1.35631 | − | 2.34920i | ||||
\(386\) | −156214. | − | 6421.84i | −1.04844 | − | 0.0431007i | ||||
\(387\) | 13582.6 | + | 20788.3i | 0.0906901 | + | 0.138803i | ||||
\(388\) | −232745. | − | 19168.3i | −1.54603 | − | 0.127327i | ||||
\(389\) | −107907. | − | 186901.i | −0.713103 | − | 1.23513i | −0.963687 | − | 0.267036i | \(-0.913956\pi\) |
0.250583 | − | 0.968095i | \(-0.419378\pi\) | |||||||
\(390\) | −178435. | + | 45236.3i | −1.17314 | + | 0.297412i | ||||
\(391\) | −30789.5 | − | 17776.3i | −0.201395 | − | 0.116275i | ||||
\(392\) | 45779.3 | − | 60614.2i | 0.297918 | − | 0.394459i | ||||
\(393\) | 21368.9 | + | 71772.9i | 0.138355 | + | 0.464703i | ||||
\(394\) | 20082.3 | + | 38338.9i | 0.129366 | + | 0.246972i | ||||
\(395\) | 56236.6i | 0.360434i | ||||||||
\(396\) | −292125. | − | 7897.23i | −1.86285 | − | 0.0503598i | ||||
\(397\) | 292553. | 1.85620 | 0.928098 | − | 0.372336i | \(-0.121443\pi\) | ||||
0.928098 | + | 0.372336i | \(0.121443\pi\) | |||||||
\(398\) | −2860.84 | + | 1498.53i | −0.0180604 | + | 0.00946021i | ||||
\(399\) | −21178.3 | + | 88758.3i | −0.133029 | + | 0.557524i | ||||
\(400\) | −42460.1 | + | 51661.9i | −0.265376 | + | 0.322887i | ||||
\(401\) | −102157. | + | 176941.i | −0.635300 | + | 1.10037i | 0.351152 | + | 0.936318i | \(0.385790\pi\) |
−0.986452 | + | 0.164053i | \(0.947543\pi\) | |||||||
\(402\) | 154659. | − | 150535.i | 0.957027 | − | 0.931505i | ||||
\(403\) | −115408. | + | 66631.1i | −0.710604 | + | 0.410267i | ||||
\(404\) | 103034. | + | 8485.63i | 0.631274 | + | 0.0519902i | ||||
\(405\) | 78447.5 | − | 178871.i | 0.478265 | − | 1.09051i | ||||
\(406\) | −177.464 | + | 4316.90i | −0.00107661 | + | 0.0261891i | ||||
\(407\) | 119073. | − | 68746.9i | 0.718827 | − | 0.415015i | ||||
\(408\) | −36311.8 | − | 44022.2i | −0.218136 | − | 0.264455i | ||||
\(409\) | −17364.4 | + | 30076.0i | −0.103804 | + | 0.179793i | −0.913249 | − | 0.407402i | \(-0.866435\pi\) |
0.809445 | + | 0.587196i | \(0.199768\pi\) | |||||||
\(410\) | 26323.9 | − | 41553.5i | 0.156597 | − | 0.247195i | ||||
\(411\) | −44714.7 | + | 187400.i | −0.264708 | + | 1.10939i | ||||
\(412\) | 233718. | − | 110438.i | 1.37689 | − | 0.650613i | ||||
\(413\) | 155655. | 0.912564 | ||||||||
\(414\) | 116257. | − | 1634.57i | 0.678297 | − | 0.00953678i | ||||
\(415\) | − | 200458.i | − | 1.16393i | ||||||
\(416\) | −55022.3 | − | 167059.i | −0.317945 | − | 0.965349i | ||||
\(417\) | −46805.5 | − | 157208.i | −0.269169 | − | 0.904073i | ||||
\(418\) | −81701.5 | + | 128969.i | −0.467603 | + | 0.738132i | ||||
\(419\) | −277682. | − | 160320.i | −1.58169 | − | 0.913187i | −0.994614 | − | 0.103653i | \(-0.966947\pi\) |
−0.587073 | − | 0.809534i | \(-0.699720\pi\) | |||||||
\(420\) | 52823.6 | + | 251282.i | 0.299453 | + | 1.42450i | ||||
\(421\) | −67885.7 | − | 117582.i | −0.383014 | − | 0.663399i | 0.608478 | − | 0.793571i | \(-0.291780\pi\) |
−0.991491 | + | 0.130172i | \(0.958447\pi\) | |||||||
\(422\) | 9994.93 | − | 243131.i | 0.0561248 | − | 1.36526i | ||||
\(423\) | 116161. | + | 177786.i | 0.649199 | + | 0.993609i | ||||
\(424\) | 129208. | + | 16007.0i | 0.718714 | + | 0.0890388i | ||||
\(425\) | 12939.7 | + | 22412.3i | 0.0716386 | + | 0.124082i | ||||
\(426\) | −42939.5 | − | 12129.8i | −0.236613 | − | 0.0668399i | ||||
\(427\) | −73524.1 | − | 42449.2i | −0.403250 | − | 0.232816i | ||||
\(428\) | −40317.5 | − | 27925.6i | −0.220093 | − | 0.152446i | ||||
\(429\) | −239593. | + | 253183.i | −1.30184 | + | 1.37569i | ||||
\(430\) | 32338.0 | − | 16938.9i | 0.174894 | − | 0.0916112i | ||||
\(431\) | 31343.0i | 0.168728i | 0.996435 | + | 0.0843638i | \(0.0268858\pi\) | ||||
−0.996435 | + | 0.0843638i | \(0.973114\pi\) | |||||||
\(432\) | 175726. | + | 62839.1i | 0.941607 | + | 0.336715i | ||||
\(433\) | 101022. | 0.538815 | 0.269407 | − | 0.963026i | \(-0.413172\pi\) | ||||
0.269407 | + | 0.963026i | \(0.413172\pi\) | |||||||
\(434\) | 86253.1 | + | 164665.i | 0.457926 | + | 0.874223i | ||||
\(435\) | −3509.21 | − | 3320.84i | −0.0185451 | − | 0.0175497i | ||||
\(436\) | 161515. | − | 233187.i | 0.849651 | − | 1.22668i | ||||
\(437\) | 30371.1 | − | 52604.3i | 0.159037 | − | 0.275460i | ||||
\(438\) | −49525.7 | + | 175321.i | −0.258156 | + | 0.913870i | ||||
\(439\) | 157593. | − | 90986.2i | 0.817724 | − | 0.472113i | −0.0319068 | − | 0.999491i | \(-0.510158\pi\) |
0.849631 | + | 0.527378i | \(0.176825\pi\) | |||||||
\(440\) | −52818.8 | + | 426349.i | −0.272824 | + | 2.20222i | ||||
\(441\) | 85779.0 | + | 43406.1i | 0.441066 | + | 0.223189i | ||||
\(442\) | −68011.3 | − | 2795.89i | −0.348126 | − | 0.0143112i | ||||
\(443\) | 32206.4 | − | 18594.4i | 0.164110 | − | 0.0947490i | −0.415696 | − | 0.909504i | \(-0.636462\pi\) |
0.579806 | + | 0.814755i | \(0.303128\pi\) | |||||||
\(444\) | −85927.6 | + | 18063.4i | −0.435880 | + | 0.0916292i | ||||
\(445\) | −140462. | + | 243287.i | −0.709315 | + | 1.22857i | ||||
\(446\) | −36255.7 | − | 22967.8i | −0.182266 | − | 0.115465i | ||||
\(447\) | 140078. | − | 41705.3i | 0.701061 | − | 0.208726i | ||||
\(448\) | −235987. | + | 67114.3i | −1.17580 | + | 0.334395i | ||||
\(449\) | −20385.0 | −0.101115 | −0.0505577 | − | 0.998721i | \(-0.516100\pi\) | ||||
−0.0505577 | + | 0.998721i | \(0.516100\pi\) | |||||||
\(450\) | −73883.2 | − | 41282.6i | −0.364855 | − | 0.203865i | ||||
\(451\) | − | 93146.9i | − | 0.457947i | ||||||
\(452\) | 101121. | + | 214002.i | 0.494953 | + | 1.04747i | ||||
\(453\) | 214710. | + | 51231.1i | 1.04630 | + | 0.249653i | ||||
\(454\) | −255898. | − | 162110.i | −1.24153 | − | 0.786501i | ||||
\(455\) | 265249. | + | 153141.i | 1.28124 | + | 0.739724i | ||||
\(456\) | 75212.6 | − | 62039.3i | 0.361710 | − | 0.298358i | ||||
\(457\) | 139829. | + | 242191.i | 0.669521 | + | 1.15964i | 0.978038 | + | 0.208426i | \(0.0668340\pi\) |
−0.308517 | + | 0.951219i | \(0.599833\pi\) | |||||||
\(458\) | −213286. | − | 8768.03i | −1.01679 | − | 0.0417995i | ||||
\(459\) | 46675.8 | − | 55114.9i | 0.221547 | − | 0.261604i | ||||
\(460\) | 14029.6 | − | 170349.i | 0.0663023 | − | 0.805054i | ||||
\(461\) | 80298.4 | + | 139081.i | 0.377838 | + | 0.654434i | 0.990747 | − | 0.135719i | \(-0.0433344\pi\) |
−0.612910 | + | 0.790153i | \(0.710001\pi\) | |||||||
\(462\) | 339140. | + | 348432.i | 1.58890 | + | 1.63243i | ||||
\(463\) | −85869.5 | − | 49576.8i | −0.400569 | − | 0.231268i | 0.286161 | − | 0.958182i | \(-0.407621\pi\) |
−0.686729 | + | 0.726913i | \(0.740954\pi\) | |||||||
\(464\) | 2931.16 | − | 3566.39i | 0.0136146 | − | 0.0165651i | ||||
\(465\) | −202191. | − | 48244.0i | −0.935095 | − | 0.223120i | ||||
\(466\) | −104839. | − | 200147.i | −0.482780 | − | 0.921673i | ||||
\(467\) | − | 278790.i | − | 1.27833i | −0.769068 | − | 0.639167i | \(-0.779279\pi\) | ||
0.769068 | − | 0.639167i | \(-0.220721\pi\) | |||||||
\(468\) | 195721. | − | 106053.i | 0.893605 | − | 0.484208i | ||||
\(469\) | −359101. | −1.63257 | ||||||||
\(470\) | 276560. | − | 144865.i | 1.25197 | − | 0.655792i | ||||
\(471\) | −342048. | + | 101838.i | −1.54186 | + | 0.459057i | ||||
\(472\) | −132714. | − | 100234.i | −0.595709 | − | 0.449913i | ||||
\(473\) | 34564.0 | − | 59866.6i | 0.154490 | − | 0.267585i | ||||
\(474\) | −16712.2 | − | 65921.3i | −0.0743833 | − | 0.293406i | ||||
\(475\) | −38291.7 | + | 22107.7i | −0.169714 | + | 0.0979844i | ||||
\(476\) | −7793.40 | + | 94628.8i | −0.0343964 | + | 0.417647i | ||||
\(477\) | 9082.11 | + | 164528.i | 0.0399163 | + | 0.723108i | ||||
\(478\) | 7884.90 | − | 191804.i | 0.0345096 | − | 0.839462i | ||||
\(479\) | −27705.5 | + | 15995.8i | −0.120752 | + | 0.0697163i | −0.559160 | − | 0.829060i | \(-0.688876\pi\) |
0.438407 | + | 0.898776i | \(0.355543\pi\) | |||||||
\(480\) | 116773. | − | 248263.i | 0.506829 | − | 1.07753i | ||||
\(481\) | −52367.8 | + | 90703.7i | −0.226347 | + | 0.392044i | ||||
\(482\) | 137320. | − | 216765.i | 0.591070 | − | 0.933029i | ||||
\(483\) | −140512. | − | 132970.i | −0.602310 | − | 0.569979i | ||||
\(484\) | 247477. | + | 523733.i | 1.05644 | + | 2.23573i | ||||
\(485\) | −434509. | −1.84721 | ||||||||
\(486\) | −38801.1 | + | 232987.i | −0.164275 | + | 0.986415i | ||||
\(487\) | 346823.i | 1.46235i | 0.682192 | + | 0.731173i | \(0.261027\pi\) | ||||
−0.682192 | + | 0.731173i | \(0.738973\pi\) | |||||||
\(488\) | 35353.1 | + | 83538.5i | 0.148452 | + | 0.350790i | ||||
\(489\) | −156660. | + | 165546.i | −0.655150 | + | 0.692313i | ||||
\(490\) | 75632.1 | − | 119389.i | 0.315003 | − | 0.497246i | ||||
\(491\) | 207830. | + | 119991.i | 0.862076 | + | 0.497720i | 0.864707 | − | 0.502277i | \(-0.167504\pi\) |
−0.00263098 | + | 0.999997i | \(0.500837\pi\) | |||||||
\(492\) | −18508.6 | + | 56532.4i | −0.0764614 | + | 0.233543i | ||||
\(493\) | −893.273 | − | 1547.19i | −0.00367528 | − | 0.00636577i | ||||
\(494\) | 4776.82 | − | 116198.i | 0.0195743 | − | 0.476152i | ||||
\(495\) | −542897. | + | 29968.4i | −2.21568 | + | 0.122308i | ||||
\(496\) | 32494.6 | − | 195939.i | 0.132083 | − | 0.796448i | ||||
\(497\) | 37120.5 | + | 64294.7i | 0.150280 | + | 0.260293i | ||||
\(498\) | 59571.1 | + | 234979.i | 0.240202 | + | 0.947481i | ||||
\(499\) | 295354. | + | 170523.i | 1.18616 | + | 0.684828i | 0.957431 | − | 0.288663i | \(-0.0932107\pi\) |
0.228726 | + | 0.973491i | \(0.426544\pi\) | |||||||
\(500\) | 98661.2 | − | 142442.i | 0.394645 | − | 0.569767i | ||||
\(501\) | −71496.2 | − | 240139.i | −0.284844 | − | 0.956724i | ||||
\(502\) | −231134. | + | 121070.i | −0.917184 | + | 0.480429i | ||||
\(503\) | 3886.22i | 0.0153600i | 0.999971 | + | 0.00768001i | \(0.00244465\pi\) | ||||
−0.999971 | + | 0.00768001i | \(0.997555\pi\) | |||||||
\(504\) | −136595. | − | 278857.i | −0.537742 | − | 1.09779i | ||||
\(505\) | 192353. | 0.754250 | ||||||||
\(506\) | −150185. | − | 286716.i | −0.586576 | − | 1.11983i | ||||
\(507\) | 1968.01 | − | 8247.92i | 0.00765616 | − | 0.0320870i | ||||
\(508\) | 243051. | + | 168347.i | 0.941823 | + | 0.652347i | ||||
\(509\) | −98673.1 | + | 170907.i | −0.380858 | + | 0.659666i | −0.991185 | − | 0.132484i | \(-0.957705\pi\) |
0.610327 | + | 0.792150i | \(0.291038\pi\) | |||||||
\(510\) | −74056.3 | − | 76085.4i | −0.284722 | − | 0.292524i | ||||
\(511\) | 262513. | − | 151562.i | 1.00533 | − | 0.580427i | ||||
\(512\) | 244425. | + | 94740.3i | 0.932409 | + | 0.361405i | ||||
\(513\) | 94164.7 | + | 79746.3i | 0.357811 | + | 0.303023i | ||||
\(514\) | −173117. | − | 7116.71i | −0.655260 | − | 0.0269372i | ||||
\(515\) | 416521. | − | 240478.i | 1.57044 | − | 0.906696i | ||||
\(516\) | −32873.1 | + | 29466.0i | −0.123464 | + | 0.110668i | ||||
\(517\) | 295597. | − | 511990.i | 1.10591 | − | 1.91549i | ||||
\(518\) | 123416. | + | 78183.2i | 0.459950 | + | 0.291376i | ||||
\(519\) | −46068.0 | + | 193071.i | −0.171027 | + | 0.716774i | ||||
\(520\) | −127541. | − | 301377.i | −0.471676 | − | 1.11456i | ||||
\(521\) | 229165. | 0.844255 | 0.422127 | − | 0.906536i | \(-0.361283\pi\) | ||||
0.422127 | + | 0.906536i | \(0.361283\pi\) | |||||||
\(522\) | 5100.41 | + | 2849.88i | 0.0187182 | + | 0.0104589i | ||||
\(523\) | 346673.i | 1.26741i | 0.773575 | + | 0.633705i | \(0.218467\pi\) | ||||
−0.773575 | + | 0.633705i | \(0.781533\pi\) | |||||||
\(524\) | −120370. | + | 56877.7i | −0.438384 | + | 0.207147i | ||||
\(525\) | 40182.9 | + | 134965.i | 0.145788 | + | 0.489667i | ||||
\(526\) | −286559. | − | 181534.i | −1.03572 | − | 0.656124i | ||||
\(527\) | −66566.6 | − | 38432.2i | −0.239682 | − | 0.138380i | ||||
\(528\) | −64785.6 | − | 515468.i | −0.232387 | − | 1.84899i | ||||
\(529\) | −75532.2 | − | 130826.i | −0.269911 | − | 0.467500i | ||||
\(530\) | 242035. | + | 9949.89i | 0.861642 | + | 0.0354215i | ||||
\(531\) | 95037.5 | − | 187813.i | 0.337059 | − | 0.666095i | ||||
\(532\) | −161675. | − | 13315.2i | −0.571241 | − | 0.0470460i | ||||
\(533\) | 35477.2 | + | 61448.4i | 0.124881 | + | 0.216300i | ||||
\(534\) | 92352.3 | − | 326926.i | 0.323866 | − | 1.14648i | ||||
\(535\) | −79025.8 | − | 45625.6i | −0.276097 | − | 0.159405i | ||||
\(536\) | 306176. | + | 231242.i | 1.06572 | + | 0.804890i | ||||
\(537\) | 324853. | − | 343280.i | 1.12652 | − | 1.19042i | ||||
\(538\) | 123770. | + | 236289.i | 0.427613 | + | 0.816353i | ||||
\(539\) | − | 267623.i | − | 0.921184i | ||||||
\(540\) | 335448. | + | 89686.9i | 1.15037 | + | 0.307568i | ||||
\(541\) | −287354. | −0.981799 | −0.490900 | − | 0.871216i | \(-0.663332\pi\) | ||||
−0.490900 | + | 0.871216i | \(0.663332\pi\) | |||||||
\(542\) | −433797. | + | 227227.i | −1.47669 | + | 0.773501i | ||||
\(543\) | −47218.3 | − | 44683.7i | −0.160144 | − | 0.151548i | ||||
\(544\) | 67580.7 | − | 75663.8i | 0.228362 | − | 0.255676i | ||||
\(545\) | 263888. | − | 457067.i | 0.888436 | − | 1.53882i | ||||
\(546\) | −356438. | − | 100689.i | −1.19563 | − | 0.337750i | ||||
\(547\) | −486589. | + | 280932.i | −1.62625 | + | 0.938917i | −0.641054 | + | 0.767496i | \(0.721502\pi\) |
−0.985198 | + | 0.171421i | \(0.945164\pi\) | |||||||
\(548\) | −341352. | − | 28112.9i | −1.13669 | − | 0.0936148i | ||||
\(549\) | −96110.2 | + | 62796.0i | −0.318878 | + | 0.208347i | ||||
\(550\) | −9677.37 | + | 235406.i | −0.0319913 | + | 0.778203i | ||||
\(551\) | 2643.40 | − | 1526.17i | 0.00870684 | − | 0.00502689i | ||||
\(552\) | 34178.0 | + | 203855.i | 0.112168 | + | 0.669026i | ||||
\(553\) | −56576.7 | + | 97993.6i | −0.185006 | + | 0.320441i | ||||
\(554\) | −294230. | + | 464455.i | −0.958666 | + | 1.51330i | ||||
\(555\) | −156578. | + | 46617.7i | −0.508328 | + | 0.151344i | ||||
\(556\) | 263653. | − | 124583.i | 0.852871 | − | 0.403002i | ||||
\(557\) | −393303. | −1.26770 | −0.633850 | − | 0.773456i | \(-0.718526\pi\) | ||||
−0.633850 | + | 0.773456i | \(0.718526\pi\) | |||||||
\(558\) | 251348. | − | 3533.92i | 0.807247 | − | 0.0113498i | ||||
\(559\) | 52658.1i | 0.168516i | ||||||||
\(560\) | −427344. | + | 160490.i | −1.36270 | + | 0.511766i | ||||
\(561\) | −195567. | − | 46663.4i | −0.621397 | − | 0.148269i | ||||
\(562\) | −29975.3 | + | 47317.3i | −0.0949054 | + | 0.149812i | ||||
\(563\) | −481867. | − | 278206.i | −1.52023 | − | 0.877707i | −0.999715 | − | 0.0238561i | \(-0.992406\pi\) |
−0.520518 | − | 0.853851i | \(-0.674261\pi\) | |||||||
\(564\) | −281137. | + | 251999.i | −0.883811 | + | 0.792210i | ||||
\(565\) | 220191. | + | 381382.i | 0.689768 | + | 1.19471i | ||||
\(566\) | −18902.1 | + | 459802.i | −0.0590035 | + | 1.43529i | ||||
\(567\) | 316649. | − | 232765.i | 0.984944 | − | 0.724021i | ||||
\(568\) | 9752.64 | − | 78722.5i | 0.0302291 | − | 0.244007i | ||||
\(569\) | −91030.8 | − | 157670.i | −0.281167 | − | 0.486995i | 0.690506 | − | 0.723327i | \(-0.257388\pi\) |
−0.971672 | + | 0.236332i | \(0.924055\pi\) | |||||||
\(570\) | 129993. | − | 126526.i | 0.400102 | − | 0.389432i | ||||
\(571\) | 190279. | + | 109858.i | 0.583604 | + | 0.336944i | 0.762565 | − | 0.646912i | \(-0.223940\pi\) |
−0.178960 | + | 0.983856i | \(0.557273\pi\) | |||||||
\(572\) | −509427. | − | 352851.i | −1.55701 | − | 1.07845i | ||||
\(573\) | −92644.1 | − | 22105.5i | −0.282168 | − | 0.0673272i | ||||
\(574\) | 87674.8 | − | 45924.8i | 0.266104 | − | 0.139387i | ||||
\(575\) | − | 93739.0i | − | 0.283521i | ||||||
\(576\) | −63105.6 | + | 325719.i | −0.190206 | + | 0.981744i | ||||
\(577\) | 9527.81 | 0.0286181 | 0.0143091 | − | 0.999898i | \(-0.495445\pi\) | ||||
0.0143091 | + | 0.999898i | \(0.495445\pi\) | |||||||
\(578\) | 136800. | + | 261163.i | 0.409477 | + | 0.781729i | ||||
\(579\) | 337153. | − | 100380.i | 1.00570 | − | 0.299427i | ||||
\(580\) | 4890.64 | − | 7060.84i | 0.0145382 | − | 0.0209894i | ||||
\(581\) | 201670. | − | 349302.i | 0.597432 | − | 1.03478i | ||||
\(582\) | 509337. | − | 129125.i | 1.50369 | − | 0.381211i | ||||
\(583\) | 397254. | − | 229355.i | 1.16878 | − | 0.674794i | ||||
\(584\) | −321421. | − | 39819.7i | −0.942429 | − | 0.116754i | ||||
\(585\) | 346731. | − | 226545.i | 1.01317 | − | 0.661978i | ||||
\(586\) | 113978. | + | 4685.55i | 0.331914 | + | 0.0136447i | ||||
\(587\) | 8948.63 | − | 5166.49i | 0.0259705 | − | 0.0149941i | −0.486959 | − | 0.873425i | \(-0.661894\pi\) |
0.512929 | + | 0.858431i | \(0.328560\pi\) | |||||||
\(588\) | −53177.5 | + | 162425.i | −0.153806 | + | 0.469784i | ||||
\(589\) | 65662.1 | − | 113730.i | 0.189271 | − | 0.327827i | ||||
\(590\) | −261401. | − | 165596.i | −0.750937 | − | 0.475715i | ||||
\(591\) | −70730.4 | − | 66933.7i | −0.202503 | − | 0.191633i | ||||
\(592\) | −54880.7 | − | 146134.i | −0.156594 | − | 0.416972i | ||||
\(593\) | 143639. | 0.408473 | 0.204236 | − | 0.978922i | \(-0.434529\pi\) | ||||
0.204236 | + | 0.978922i | \(0.434529\pi\) | |||||||
\(594\) | 627484. | − | 196465.i | 1.77840 | − | 0.556817i | ||||
\(595\) | 176661.i | 0.499008i | ||||||||
\(596\) | 111007. | + | 234924.i | 0.312507 | + | 0.661356i | ||||
\(597\) | 4994.58 | − | 5277.89i | 0.0140136 | − | 0.0148085i | ||||
\(598\) | 208279. | + | 131943.i | 0.582428 | + | 0.368965i | ||||
\(599\) | −305650. | − | 176467.i | −0.851865 | − | 0.491824i | 0.00941494 | − | 0.999956i | \(-0.497003\pi\) |
−0.861280 | + | 0.508131i | \(0.830336\pi\) | |||||||
\(600\) | 52649.3 | − | 140949.i | 0.146248 | − | 0.391525i | ||||
\(601\) | −17733.8 | − | 30715.9i | −0.0490969 | − | 0.0850382i | 0.840433 | − | 0.541916i | \(-0.182301\pi\) |
−0.889529 | + | 0.456878i | \(0.848968\pi\) | |||||||
\(602\) | 73390.9 | + | 3017.04i | 0.202511 | + | 0.00832509i | ||||
\(603\) | −219254. | + | 433290.i | −0.602995 | + | 1.19164i | ||||
\(604\) | −32209.8 | + | 391097.i | −0.0882907 | + | 1.07204i | ||||
\(605\) | 538881. | + | 933369.i | 1.47225 | + | 2.55001i | ||||
\(606\) | −225478. | + | 57162.5i | −0.613987 | + | 0.155656i | ||||
\(607\) | 424309. | + | 244975.i | 1.15161 | + | 0.664881i | 0.949279 | − | 0.314436i | \(-0.101815\pi\) |
0.202330 | + | 0.979317i | \(0.435149\pi\) | |||||||
\(608\) | 129273. | + | 115463.i | 0.349703 | + | 0.312345i | ||||
\(609\) | −2773.96 | − | 9317.05i | −0.00747937 | − | 0.0251214i | ||||
\(610\) | 78313.2 | + | 149507.i | 0.210463 | + | 0.401793i | ||||
\(611\) | 450342.i | 1.20631i | ||||||||
\(612\) | 109420. | + | 67180.5i | 0.292143 | + | 0.179366i | ||||
\(613\) | 284390. | 0.756821 | 0.378410 | − | 0.925638i | \(-0.376471\pi\) | ||||
0.378410 | + | 0.925638i | \(0.376471\pi\) | |||||||
\(614\) | 408680. | − | 214070.i | 1.08404 | − | 0.567831i | ||||
\(615\) | −25687.2 | + | 107655.i | −0.0679151 | + | 0.284632i | ||||
\(616\) | −520965. | + | 689785.i | −1.37293 | + | 1.81783i | ||||
\(617\) | −98237.4 | + | 170152.i | −0.258052 | + | 0.446958i | −0.965720 | − | 0.259586i | \(-0.916414\pi\) |
0.707668 | + | 0.706545i | \(0.249747\pi\) | |||||||
\(618\) | −416786. | + | 405671.i | −1.09128 | + | 1.06218i | ||||
\(619\) | −58731.2 | + | 33908.5i | −0.153281 | + | 0.0884967i | −0.574679 | − | 0.818379i | \(-0.694873\pi\) |
0.421398 | + | 0.906876i | \(0.361540\pi\) | |||||||
\(620\) | 30331.8 | − | 368294.i | 0.0789069 | − | 0.958101i | ||||
\(621\) | −246233. | + | 88355.0i | −0.638502 | + | 0.229112i | ||||
\(622\) | 16233.3 | − | 394882.i | 0.0419590 | − | 1.02067i | ||||
\(623\) | −489517. | + | 282623.i | −1.26122 | + | 0.728167i | ||||
\(624\) | 239067. | + | 315376.i | 0.613975 | + | 0.809952i | ||||
\(625\) | 242826. | − | 420586.i | 0.621634 | − | 1.07670i | ||||
\(626\) | 158687. | − | 250495.i | 0.404942 | − | 0.639219i | ||||
\(627\) | 79725.2 | − | 334129.i | 0.202797 | − | 0.849921i | ||||
\(628\) | −271062. | − | 573647.i | −0.687306 | − | 1.45454i | ||||
\(629\) | −60410.6 | −0.152691 | ||||||||
\(630\) | −295876. | − | 496228.i | −0.745467 | − | 1.25026i | ||||
\(631\) | − | 716972.i | − | 1.80071i | −0.435158 | − | 0.900354i | \(-0.643308\pi\) | ||
0.435158 | − | 0.900354i | \(-0.356692\pi\) | |||||||
\(632\) | 111341. | − | 47118.9i | 0.278754 | − | 0.117967i | ||||
\(633\) | 156231. | + | 524743.i | 0.389907 | + | 1.30960i | ||||
\(634\) | 4526.49 | − | 7145.27i | 0.0112612 | − | 0.0177762i | ||||
\(635\) | 476401. | + | 275050.i | 1.18148 | + | 0.682125i | ||||
\(636\) | −286674. | + | 60263.6i | −0.708718 | + | 0.148984i | ||||
\(637\) | 101931. | + | 176549.i | 0.251204 | + | 0.435098i | ||||
\(638\) | 668.061 | − | 16250.9i | 0.00164125 | − | 0.0399241i | ||||
\(639\) | 100242. | − | 5533.47i | 0.245499 | − | 0.0135518i | ||||
\(640\) | 467709. | + | 138350.i | 1.14187 | + | 0.337769i | ||||
\(641\) | −321445. | − | 556760.i | −0.782332 | − | 1.35504i | −0.930580 | − | 0.366089i | \(-0.880697\pi\) |
0.148248 | − | 0.988950i | \(-0.452637\pi\) | |||||||
\(642\) | 106194. | + | 29998.3i | 0.257650 | + | 0.0727825i | ||||
\(643\) | 1326.59 | + | 765.910i | 0.00320861 | + | 0.00185249i | 0.501603 | − | 0.865098i | \(-0.332744\pi\) |
−0.498395 | + | 0.866950i | \(0.666077\pi\) | |||||||
\(644\) | 195826. | − | 282723.i | 0.472171 | − | 0.681695i | ||||
\(645\) | −56457.0 | + | 59659.4i | −0.135706 | + | 0.143403i | ||||
\(646\) | 59420.6 | − | 31125.0i | 0.142387 | − | 0.0745838i | ||||
\(647\) | 106720.i | 0.254938i | 0.991843 | + | 0.127469i | \(0.0406854\pi\) | ||||
−0.991843 | + | 0.127469i | \(0.959315\pi\) | |||||||
\(648\) | −419869. | − | 5445.23i | −0.999916 | − | 0.0129678i | ||||
\(649\) | −585960. | −1.39116 | ||||||||
\(650\) | −83276.1 | − | 158982.i | −0.197103 | − | 0.376288i | ||||
\(651\) | −303786. | − | 287480.i | −0.716814 | − | 0.678336i | ||||
\(652\) | −333094. | − | 230715.i | −0.783560 | − | 0.542727i | ||||
\(653\) | −114833. | + | 198896.i | −0.269301 | + | 0.466444i | −0.968682 | − | 0.248306i | \(-0.920126\pi\) |
0.699380 | + | 0.714750i | \(0.253459\pi\) | |||||||
\(654\) | −173503. | + | 614201.i | −0.405651 | + | 1.43600i | ||||
\(655\) | −214517. | + | 123851.i | −0.500010 | + | 0.288681i | ||||
\(656\) | −104326. | − | 17301.5i | −0.242430 | − | 0.0402046i | ||||
\(657\) | −22593.0 | − | 409285.i | −0.0523410 | − | 0.948190i | ||||
\(658\) | 627652. | + | 25802.3i | 1.44966 | + | 0.0595946i | ||||
\(659\) | −337909. | + | 195092.i | −0.778089 | + | 0.449230i | −0.835753 | − | 0.549106i | \(-0.814968\pi\) |
0.0576633 | + | 0.998336i | \(0.481635\pi\) | |||||||
\(660\) | −198853. | − | 945944.i | −0.456504 | − | 2.17159i | ||||
\(661\) | −223443. | + | 387014.i | −0.511403 | + | 0.885776i | 0.488509 | + | 0.872559i | \(0.337541\pi\) |
−0.999913 | + | 0.0132177i | \(0.995793\pi\) | |||||||
\(662\) | −48124.3 | − | 30486.5i | −0.109812 | − | 0.0695651i | ||||
\(663\) | 146787. | − | 43702.7i | 0.333934 | − | 0.0994217i | ||||
\(664\) | −396879. | + | 167957.i | −0.900166 | + | 0.380945i | ||||
\(665\) | −301829. | −0.682523 | ||||||||
\(666\) | 169689. | − | 101177.i | 0.382564 | − | 0.228104i | ||||
\(667\) | 6471.12i | 0.0145455i | ||||||||
\(668\) | 402735. | − | 190302.i | 0.902540 | − | 0.426472i | ||||
\(669\) | 93929.6 | + | 22412.2i | 0.209870 | + | 0.0500763i | ||||
\(670\) | 603060. | + | 382036.i | 1.34342 | + | 0.851048i | ||||
\(671\) | 276780. | + | 159799.i | 0.614737 | + | 0.354919i | ||||
\(672\) | 453244. | − | 315124.i | 1.00368 | − | 0.697820i | ||||
\(673\) | −169746. | − | 294009.i | −0.374774 | − | 0.649128i | 0.615519 | − | 0.788122i | \(-0.288946\pi\) |
−0.990293 | + | 0.138994i | \(0.955613\pi\) | |||||||
\(674\) | 301440. | + | 12392.0i | 0.663561 | + | 0.0272785i | ||||
\(675\) | 187382. | + | 33920.1i | 0.411264 | + | 0.0744474i | ||||
\(676\) | 15023.7 | + | 1237.32i | 0.0328764 | + | 0.00270762i | ||||
\(677\) | −266702. | − | 461941.i | −0.581900 | − | 1.00788i | −0.995254 | − | 0.0973098i | \(-0.968976\pi\) |
0.413354 | − | 0.910570i | \(-0.364357\pi\) | |||||||
\(678\) | −371448. | − | 381626.i | −0.808051 | − | 0.830191i | ||||
\(679\) | −757142. | − | 437136.i | −1.64224 | − | 0.948150i | ||||
\(680\) | 113760. | − | 150625.i | 0.246022 | − | 0.325746i | ||||
\(681\) | 662971. | + | 158189.i | 1.42955 | + | 0.341100i | ||||
\(682\) | −324698. | − | 619878.i | −0.698089 | − | 1.33272i | ||||
\(683\) | − | 175866.i | − | 0.376999i | −0.982073 | − | 0.188500i | \(-0.939638\pi\) | ||
0.982073 | − | 0.188500i | \(-0.0603624\pi\) | |||||||
\(684\) | −114779. | + | 186946.i | −0.245330 | + | 0.399581i | ||||
\(685\) | −637265. | −1.35812 | ||||||||
\(686\) | −257689. | + | 134980.i | −0.547581 | + | 0.286828i | ||||
\(687\) | 460330. | − | 137054.i | 0.975339 | − | 0.290387i | ||||
\(688\) | −60631.7 | − | 49832.2i | −0.128092 | − | 0.105277i | ||||
\(689\) | −174711. | + | 302608.i | −0.368028 | + | 0.637444i | ||||
\(690\) | 94508.7 | + | 372791.i | 0.198506 | + | 0.783009i | ||||
\(691\) | 203114. | − | 117268.i | 0.425386 | − | 0.245597i | −0.271993 | − | 0.962299i | \(-0.587683\pi\) |
0.697379 | + | 0.716702i | \(0.254349\pi\) | |||||||
\(692\) | −351682. | − | 28963.7i | −0.734409 | − | 0.0604842i | ||||
\(693\) | −976160. | − | 493958.i | −2.03261 | − | 1.02855i | ||||
\(694\) | −24388.5 | + | 593261.i | −0.0506368 | + | 1.23176i | ||||
\(695\) | 469869. | − | 271279.i | 0.972762 | − | 0.561625i | ||||
\(696\) | −3634.56 | + | 9730.18i | −0.00750296 | + | 0.0200864i | ||||
\(697\) | −20463.0 | + | 35442.9i | −0.0421214 | + | 0.0729565i | ||||
\(698\) | 49942.0 | − | 78835.6i | 0.102507 | − | 0.161812i | ||||
\(699\) | 369245. | + | 349425.i | 0.755720 | + | 0.715154i | ||||
\(700\) | −226348. | + | 106955.i | −0.461935 | + | 0.218276i | ||||
\(701\) | 192485. | 0.391707 | 0.195853 | − | 0.980633i | \(-0.437252\pi\) | ||||
0.195853 | + | 0.980633i | \(0.437252\pi\) | |||||||
\(702\) | −339119. | + | 368599.i | −0.688141 | + | 0.747963i | ||||
\(703\) | − | 103213.i | − | 0.208844i | ||||||
\(704\) | 888369. | − | 252650.i | 1.79245 | − | 0.509770i | ||||
\(705\) | −482830. | + | 510218.i | −0.971441 | + | 1.02654i | ||||
\(706\) | −41472.9 | + | 65466.7i | −0.0832060 | + | 0.131344i | ||||
\(707\) | 335179. | + | 193516.i | 0.670561 | + | 0.387148i | ||||
\(708\) | 355629. | + | 116432.i | 0.709464 | + | 0.232277i | ||||
\(709\) | 300439. | + | 520376.i | 0.597674 | + | 1.03520i | 0.993164 | + | 0.116731i | \(0.0372417\pi\) |
−0.395489 | + | 0.918471i | \(0.629425\pi\) | |||||||
\(710\) | 6062.18 | − | 147465.i | 0.0120258 | − | 0.292532i | ||||
\(711\) | 83695.1 | + | 128097.i | 0.165562 | + | 0.253395i | ||||
\(712\) | 599365. | + | 74253.1i | 1.18231 | + | 0.146472i | ||||
\(713\) | 139207. | + | 241114.i | 0.273831 | + | 0.474288i | ||||
\(714\) | −52499.4 | − | 207085.i | −0.102981 | − | 0.406211i | ||||
\(715\) | −998522. | − | 576497.i | −1.95320 | − | 1.12768i | ||||
\(716\) | 690710. | + | 478415.i | 1.34732 | + | 0.933209i | ||||
\(717\) | 123249. | + | 413965.i | 0.239743 | + | 0.805240i | ||||
\(718\) | 495808. | − | 259708.i | 0.961755 | − | 0.503776i | ||||
\(719\) | 37302.4i | 0.0721571i | 0.999349 | + | 0.0360786i | \(0.0114867\pi\) | ||||
−0.999349 | + | 0.0360786i | \(0.988513\pi\) | |||||||
\(720\) | −67274.7 | + | 613622.i | −0.129774 | + | 1.18368i | ||||
\(721\) | 967729. | 1.86159 | ||||||||
\(722\) | −188702. | − | 360249.i | −0.361994 | − | 0.691080i | ||||
\(723\) | −133998. | + | 561586.i | −0.256343 | + | 1.07433i | ||||
\(724\) | 65806.3 | − | 95007.6i | 0.125542 | − | 0.181251i | ||||
\(725\) | 2355.23 | − | 4079.37i | 0.00448081 | − | 0.00776099i | ||||
\(726\) | −909057. | − | 933964.i | −1.72472 | − | 1.77197i | ||||
\(727\) | −647844. | + | 374033.i | −1.22575 | + | 0.707686i | −0.966138 | − | 0.258027i | \(-0.916928\pi\) |
−0.259611 | + | 0.965713i | \(0.583594\pi\) | |||||||
\(728\) | 80955.8 | − | 653469.i | 0.152751 | − | 1.23300i | ||||
\(729\) | −87518.5 | − | 524185.i | −0.164682 | − | 0.986347i | ||||
\(730\) | −602095. | − | 24751.7i | −1.12985 | − | 0.0464471i | ||||
\(731\) | −26303.6 | + | 15186.4i | −0.0492244 | + | 0.0284197i | ||||
\(732\) | −136230. | − | 151982.i | −0.254243 | − | 0.283641i | ||||
\(733\) | 131709. | − | 228126.i | 0.245136 | − | 0.424588i | −0.717034 | − | 0.697038i | \(-0.754501\pi\) |
0.962170 | + | 0.272450i | \(0.0878341\pi\) | |||||||
\(734\) | 309428. | + | 196021.i | 0.574337 | + | 0.363840i | ||||
\(735\) | −73802.7 | + | 309307.i | −0.136615 | + | 0.572552i | ||||
\(736\) | −349024. | + | 114954.i | −0.644317 | + | 0.212211i | ||||
\(737\) | 1.35183e6 | 2.48878 | ||||||||
\(738\) | −1881.61 | − | 133828.i | −0.00345475 | − | 0.245717i | ||||
\(739\) | − | 288908.i | − | 0.529018i | −0.964383 | − | 0.264509i | \(-0.914790\pi\) | ||
0.964383 | − | 0.264509i | \(-0.0852099\pi\) | |||||||
\(740\) | −124083. | − | 262596.i | −0.226594 | − | 0.479539i | ||||
\(741\) | 74666.8 | + | 250788.i | 0.135985 | + | 0.456741i | ||||
\(742\) | 411742. | + | 260837.i | 0.747855 | + | 0.473763i | ||||
\(743\) | −271416. | − | 156702.i | −0.491651 | − | 0.283855i | 0.233608 | − | 0.972331i | \(-0.424947\pi\) |
−0.725259 | + | 0.688476i | \(0.758280\pi\) | |||||||
\(744\) | 73892.6 | + | 440733.i | 0.133492 | + | 0.796213i | ||||
\(745\) | 241719. | + | 418670.i | 0.435510 | + | 0.754326i | ||||
\(746\) | 342034. | + | 14060.8i | 0.614599 | + | 0.0252657i | ||||
\(747\) | −298334. | − | 456606.i | −0.534641 | − | 0.818276i | ||||
\(748\) | 29338.1 | − | 356228.i | 0.0524359 | − | 0.636685i | ||||
\(749\) | −91802.9 | − | 159007.i | −0.163641 | − | 0.283435i | ||||
\(750\) | −105984. | + | 375183.i | −0.188416 | + | 0.666992i | ||||
\(751\) | 204539. | + | 118091.i | 0.362658 | + | 0.209381i | 0.670246 | − | 0.742139i | \(-0.266189\pi\) |
−0.307588 | + | 0.951520i | \(0.599522\pi\) | |||||||
\(752\) | −518533. | − | 426174.i | −0.916940 | − | 0.753618i | ||||
\(753\) | 403524. | − | 426413.i | 0.711671 | − | 0.752039i | ||||
\(754\) | 5748.83 | + | 10975.0i | 0.0101120 | + | 0.0193047i | ||||
\(755\) | 730134.i | 1.28088i | ||||||||
\(756\) | 494296. | + | 493757.i | 0.864856 | + | 0.863913i | ||||
\(757\) | −1.00219e6 | −1.74888 | −0.874438 | − | 0.485137i | \(-0.838770\pi\) | ||||
−0.874438 | + | 0.485137i | \(0.838770\pi\) | |||||||
\(758\) | −141159. | + | 73940.5i | −0.245681 | + | 0.128690i | ||||
\(759\) | 528955. | + | 500562.i | 0.918196 | + | 0.868909i | ||||
\(760\) | 257345. | + | 194361.i | 0.445542 | + | 0.336498i | ||||
\(761\) | −456412. | + | 790529.i | −0.788112 | + | 1.36505i | 0.139010 | + | 0.990291i | \(0.455608\pi\) |
−0.927122 | + | 0.374759i | \(0.877725\pi\) | |||||||
\(762\) | −640181. | − | 180842.i | −1.10254 | − | 0.311451i | ||||
\(763\) | 919661. | − | 530967.i | 1.57971 | − | 0.912049i | ||||
\(764\) | 13898.1 | − | 168753.i | 0.0238105 | − | 0.289111i | ||||
\(765\) | 213159. | + | 107863.i | 0.364234 | + | 0.184311i | ||||
\(766\) | 28043.0 | − | 682158.i | 0.0477933 | − | 1.16259i | ||||
\(767\) | 386554. | − | 223177.i | 0.657082 | − | 0.379366i | ||||
\(768\) | −589368. | − | 23184.0i | −0.999227 | − | 0.0393067i | ||||
\(769\) | 104325. | − | 180697.i | 0.176416 | − | 0.305561i | −0.764235 | − | 0.644938i | \(-0.776883\pi\) |
0.940650 | + | 0.339378i | \(0.110216\pi\) | |||||||
\(770\) | −860689. | + | 1.35863e6i | −1.45166 | + | 2.29151i | ||||
\(771\) | 373634. | − | 111242.i | 0.628547 | − | 0.187137i | ||||
\(772\) | 267183. | + | 565437.i | 0.448305 | + | 0.948744i | ||||
\(773\) | −661279. | −1.10669 | −0.553345 | − | 0.832952i | \(-0.686649\pi\) | ||||
−0.553345 | + | 0.832952i | \(0.686649\pi\) | |||||||
\(774\) | 48450.3 | − | 86711.2i | 0.0808750 | − | 0.144742i | ||||
\(775\) | − | 202663.i | − | 0.337420i | ||||||
\(776\) | 364061. | + | 860269.i | 0.604576 | + | 1.42860i | ||||
\(777\) | −319740. | − | 76292.0i | −0.529608 | − | 0.126368i | ||||
\(778\) | −461973. | + | 729245.i | −0.763234 | + | 1.20480i | ||||
\(779\) | −60554.8 | − | 34961.3i | −0.0997869 | − | 0.0576120i | ||||
\(780\) | 491468. | + | 548295.i | 0.807804 | + | 0.901208i | ||||
\(781\) | −139739. | − | 242036.i | −0.229096 | − | 0.396805i | ||||
\(782\) | −5841.23 | + | 142090.i | −0.00955192 | + | 0.232355i | ||||
\(783\) | −12935.6 | − | 2341.62i | −0.0210991 | − | 0.00381938i | ||||
\(784\) | −299743. | − | 49709.5i | −0.487660 | − | 0.0808736i | ||||
\(785\) | −590239. | − | 1.02232e6i | −0.957830 | − | 1.65901i | ||||
\(786\) | 214654. | − | 208929.i | 0.347451 | − | 0.338185i | ||||
\(787\) | −33656.2 | − | 19431.4i | −0.0543395 | − | 0.0313729i | 0.472584 | − | 0.881286i | \(-0.343321\pi\) |
−0.526924 | + | 0.849913i | \(0.676655\pi\) | |||||||
\(788\) | 98574.1 | − | 142316.i | 0.158749 | − | 0.229193i | ||||
\(789\) | 742405. | + | 177143.i | 1.19258 | + | 0.284557i | ||||
\(790\) | 199265. | − | 104377.i | 0.319283 | − | 0.167243i | ||||
\(791\) | 886090.i | 1.41620i | ||||||||
\(792\) | 514209. | + | 1.04975e6i | 0.819766 | + | 1.67354i | ||||
\(793\) | −243453. | −0.387141 | ||||||||
\(794\) | −542986. | − | 1.03661e6i | −0.861287 | − | 1.64428i | ||||
\(795\) | −522379. | + | 155527.i | −0.826516 | + | 0.246078i | ||||
\(796\) | 10619.6 | + | 7355.58i | 0.0167603 | + | 0.0116089i | ||||
\(797\) | 321301. | − | 556510.i | 0.505820 | − | 0.876105i | −0.494158 | − | 0.869372i | \(-0.664523\pi\) |
0.999977 | − | 0.00673297i | \(-0.00214319\pi\) | |||||||
\(798\) | 353807. | − | 89696.1i | 0.555598 | − | 0.140853i | ||||
\(799\) | −224953. | + | 129877.i | −0.352369 | + | 0.203441i | ||||
\(800\) | 261862. | + | 54564.2i | 0.409160 | + | 0.0852566i | ||||
\(801\) | 42129.9 | + | 763209.i | 0.0656637 | + | 1.18954i | ||||
\(802\) | 816565. | + | 33568.3i | 1.26953 | + | 0.0521893i | ||||
\(803\) | −988223. | + | 570551.i | −1.53258 | + | 0.884837i | ||||
\(804\) | −820446. | − | 268612.i | −1.26922 | − | 0.415541i | ||||
\(805\) | 319946. | − | 554163.i | 0.493725 | − | 0.855156i | ||||
\(806\) | 450297. | + | 285261.i | 0.693152 | + | 0.439109i | ||||
\(807\) | −435923. | − | 412523.i | −0.669364 | − | 0.633433i | ||||
\(808\) | −161166. | − | 380833.i | −0.246860 | − | 0.583326i | ||||
\(809\) | 737297. | 1.12654 | 0.563269 | − | 0.826274i | \(-0.309544\pi\) | ||||
0.563269 | + | 0.826274i | \(0.309544\pi\) | |||||||
\(810\) | −779398. | + | 54023.7i | −1.18793 | + | 0.0823407i | ||||
\(811\) | − | 823394.i | − | 1.25189i | −0.779867 | − | 0.625945i | \(-0.784714\pi\) | ||
0.779867 | − | 0.625945i | \(-0.215286\pi\) | |||||||
\(812\) | 15625.6 | − | 7383.47i | 0.0236987 | − | 0.0111982i | ||||
\(813\) | 757341. | − | 800301.i | 1.14580 | − | 1.21080i | ||||
\(814\) | −464595. | − | 294319.i | −0.701174 | − | 0.444190i | ||||
\(815\) | −652894. | − | 376949.i | −0.982941 | − | 0.567501i | ||||
\(816\) | −88589.4 | + | 210371.i | −0.133046 | + | 0.315941i | ||||
\(817\) | −25946.2 | − | 44940.1i | −0.0388713 | − | 0.0673271i | ||||
\(818\) | 138798. | + | 5705.87i | 0.207432 | + | 0.00852738i | ||||
\(819\) | 832102. | − | 45932.9i | 1.24053 | − | 0.0684788i | ||||
\(820\) | −196096. | − | 16150.0i | −0.291635 | − | 0.0240184i | ||||
\(821\) | 290123. | + | 502508.i | 0.430424 | + | 0.745516i | 0.996910 | − | 0.0785556i | \(-0.0250308\pi\) |
−0.566486 | + | 0.824071i | \(0.691697\pi\) | |||||||
\(822\) | 747010. | − | 189379.i | 1.10556 | − | 0.280278i | ||||
\(823\) | 400074. | + | 230983.i | 0.590664 | + | 0.341020i | 0.765360 | − | 0.643602i | \(-0.222561\pi\) |
−0.174696 | + | 0.984622i | \(0.555894\pi\) | |||||||
\(824\) | −825104. | − | 623166.i | −1.21522 | − | 0.917802i | ||||
\(825\) | −151267. | − | 508071.i | −0.222248 | − | 0.746477i | ||||
\(826\) | −288900. | − | 551537.i | −0.423435 | − | 0.808378i | ||||
\(827\) | − | 1.11437e6i | − | 1.62936i | −0.579912 | − | 0.814679i | \(-0.696913\pi\) | ||
0.579912 | − | 0.814679i | \(-0.303087\pi\) | |||||||
\(828\) | −221568. | − | 408904.i | −0.323182 | − | 0.596432i | ||||
\(829\) | 915553. | 1.33222 | 0.666108 | − | 0.745856i | \(-0.267959\pi\) | ||||
0.666108 | + | 0.745856i | \(0.267959\pi\) | |||||||
\(830\) | −710287. | + | 372055.i | −1.03105 | + | 0.540071i | ||||
\(831\) | 287113. | − | 1.20329e6i | 0.415767 | − | 1.74248i | ||||
\(832\) | −489823. | + | 505029.i | −0.707608 | + | 0.729574i | ||||
\(833\) | −58792.8 | + | 101832.i | −0.0847294 | + | 0.146756i | ||||
\(834\) | −470168. | + | 457630.i | −0.675960 | + | 0.657934i | ||||
\(835\) | 717733. | − | 414383.i | 1.02941 | − | 0.594332i | ||||
\(836\) | 608621. | + | 50124.6i | 0.870832 | + | 0.0717197i | ||||
\(837\) | −532353. | + | 191023.i | −0.759887 | + | 0.272668i | ||||
\(838\) | −52680.6 | + | 1.28148e6i | −0.0750175 | + | 1.82483i | ||||
\(839\) | −489653. | + | 282701.i | −0.695608 | + | 0.401610i | −0.805710 | − | 0.592311i | \(-0.798216\pi\) |
0.110101 | + | 0.993920i | \(0.464882\pi\) | |||||||
\(840\) | 792331. | − | 653556.i | 1.12292 | − | 0.926242i | ||||
\(841\) | 353478. | − | 612242.i | 0.499770 | − | 0.865627i | ||||
\(842\) | −290632. | + | 458776.i | −0.409939 | + | 0.647107i | ||||
\(843\) | 29250.2 | − | 122588.i | 0.0411599 | − | 0.172501i | ||||
\(844\) | −880044. | + | 415842.i | −1.23543 | + | 0.583772i | ||||
\(845\) | 28047.6 | 0.0392810 | ||||||||
\(846\) | 414355. | − | 741569.i | 0.578938 | − | 1.03612i | ||||
\(847\) | 2.16856e6i | 3.02276i | ||||||||
\(848\) | −183094. | − | 487534.i | −0.254615 | − | 0.677975i | ||||
\(849\) | −295460. | − | 992379.i | −0.409905 | − | 1.37677i | ||||
\(850\) | 55397.5 | − | 87447.5i | 0.0766748 | − | 0.121035i | ||||
\(851\) | 189500. | + | 109408.i | 0.261668 | + | 0.151074i | ||||
\(852\) | 36716.9 | + | 174662.i | 0.0505809 | + | 0.240613i | ||||
\(853\) | −100990. | − | 174919.i | −0.138796 | − | 0.240402i | 0.788245 | − | 0.615362i | \(-0.210990\pi\) |
−0.927041 | + | 0.374959i | \(0.877657\pi\) | |||||||
\(854\) | −13948.6 | + | 339307.i | −0.0191256 | + | 0.465240i | ||||
\(855\) | −184286. | + | 364185.i | −0.252092 | + | 0.498184i | ||||
\(856\) | −24119.3 | + | 194689.i | −0.0329167 | + | 0.265701i | ||||
\(857\) | 252164. | + | 436762.i | 0.343338 | + | 0.594679i | 0.985050 | − | 0.172266i | \(-0.0551090\pi\) |
−0.641712 | + | 0.766946i | \(0.721776\pi\) | |||||||
\(858\) | 1.34180e6 | + | 379041.i | 1.82269 | + | 0.514886i | ||||
\(859\) | 662245. | + | 382348.i | 0.897496 | + | 0.518170i | 0.876387 | − | 0.481608i | \(-0.159947\pi\) |
0.0211092 | + | 0.999777i | \(0.493280\pi\) | |||||||
\(860\) | −120040. | − | 83144.9i | −0.162304 | − | 0.112419i | ||||
\(861\) | −153066. | + | 161749.i | −0.206478 | + | 0.218190i | ||||
\(862\) | 111059. | − | 58173.5i | 0.149464 | − | 0.0782907i | ||||
\(863\) | − | 1.21817e6i | − | 1.63564i | −0.575477 | − | 0.817818i | \(-0.695183\pi\) | ||
0.575477 | − | 0.817818i | \(-0.304817\pi\) | |||||||
\(864\) | −103493. | − | 739287.i | −0.138638 | − | 0.990343i | ||||
\(865\) | −656551. | −0.877477 | ||||||||
\(866\) | −187499. | − | 357953.i | −0.250013 | − | 0.477299i | ||||
\(867\) | −481813. | − | 455950.i | −0.640974 | − | 0.606567i | ||||
\(868\) | 423375. | − | 611246.i | 0.561934 | − | 0.811290i | ||||
\(869\) | 212982. | − | 368895.i | 0.282035 | − | 0.488498i | ||||
\(870\) | −5253.63 | + | 18597.8i | −0.00694099 | + | 0.0245710i | ||||
\(871\) | −891792. | + | 514876.i | −1.17551 | + | 0.678682i | ||||
\(872\) | −1.12603e6 | − | 139500.i | −1.48088 | − | 0.183460i | ||||
\(873\) | −989731. | + | 646665.i | −1.29864 | + | 0.848498i | ||||
\(874\) | −242764. | − | 9979.83i | −0.317805 | − | 0.0130647i | ||||
\(875\) | 561773. | − | 324340.i | 0.733744 | − | 0.423627i | ||||
\(876\) | 713139. | − | 149914.i | 0.929321 | − | 0.195359i | ||||
\(877\) | −225455. | + | 390499.i | −0.293130 | + | 0.507716i | −0.974548 | − | 0.224178i | \(-0.928030\pi\) |
0.681418 | + | 0.731894i | \(0.261364\pi\) | |||||||
\(878\) | −614890. | − | 389530.i | −0.797642 | − | 0.505303i | ||||
\(879\) | −245996. | + | 73240.1i | −0.318383 | + | 0.0947918i | ||||
\(880\) | 1.60873e6 | − | 604161.i | 2.07739 | − | 0.780166i | ||||
\(881\) | −1.04312e6 | −1.34395 | −0.671974 | − | 0.740575i | \(-0.734553\pi\) | ||||
−0.671974 | + | 0.740575i | \(0.734553\pi\) | |||||||
\(882\) | −5406.11 | − | 384506.i | −0.00694941 | − | 0.494272i | ||||
\(883\) | 303710.i | 0.389527i | 0.980850 | + | 0.194763i | \(0.0623939\pi\) | ||||
−0.980850 | + | 0.194763i | \(0.937606\pi\) | |||||||
\(884\) | 116324. | + | 246175.i | 0.148855 | + | 0.315021i | ||||
\(885\) | 677227. | + | 161591.i | 0.864664 | + | 0.206314i | ||||
\(886\) | −125662. | − | 79606.3i | −0.160080 | − | 0.101410i | ||||
\(887\) | 587624. | + | 339265.i | 0.746882 | + | 0.431213i | 0.824566 | − | 0.565765i | \(-0.191419\pi\) |
−0.0776839 | + | 0.996978i | \(0.524752\pi\) | |||||||
\(888\) | 223488. | + | 270943.i | 0.283419 | + | 0.343600i | ||||
\(889\) | 553426. | + | 958562.i | 0.700255 | + | 1.21288i | ||||
\(890\) | 1.12275e6 | + | 46155.3i | 1.41743 | + | 0.0582696i | ||||
\(891\) | −1.19202e6 | + | 876237.i | −1.50151 | + | 1.10374i | ||||
\(892\) | −14090.9 | + | 171094.i | −0.0177097 | + | 0.215034i | ||||
\(893\) | −221896. | − | 384336.i | −0.278258 | − | 0.481956i | ||||
\(894\) | −407764. | − | 418937.i | −0.510193 | − | 0.524172i | ||||
\(895\) | 1.35385e6 | + | 781647.i | 1.69015 | + | 0.975808i | ||||
\(896\) | 675807. | + | 711615.i | 0.841795 | + | 0.886398i | ||||
\(897\) | −539599. | − | 128752.i | −0.670636 | − | 0.160018i | ||||
\(898\) | 37835.0 | + | 72230.6i | 0.0469182 | + | 0.0895712i | ||||
\(899\) | 13990.5i | 0.0173107i | ||||||||
\(900\) | −9148.59 | + | 338414.i | −0.0112946 | + | 0.417795i | ||||
\(901\) | −201543. | −0.248267 | ||||||||
\(902\) | −330050. | + | 172883.i | −0.405664 | + | 0.212490i | ||||
\(903\) | −158398. | + | 47159.6i | −0.194256 | + | 0.0578355i | ||||
\(904\) | 570594. | − | 755497.i | 0.698217 | − | 0.924477i | ||||
\(905\) | 107516. | − | 186223.i | 0.131273 | − | 0.227372i | ||||
\(906\) | −216978. | − | 855873.i | −0.264338 | − | 1.04268i | ||||
\(907\) | −1.02766e6 | + | 593322.i | −1.24921 | + | 0.721233i | −0.970952 | − | 0.239273i | \(-0.923091\pi\) |
−0.278260 | + | 0.960506i | \(0.589758\pi\) | |||||||
\(908\) | −99456.1 | + | 1.20761e6i | −0.120631 | + | 1.46472i | ||||
\(909\) | 438144. | − | 286272.i | 0.530260 | − | 0.346458i | ||||
\(910\) | 50321.7 | − | 1.22410e6i | 0.0607676 | − | 1.47820i | ||||
\(911\) | 754071. | − | 435363.i | 0.908606 | − | 0.524584i | 0.0286234 | − | 0.999590i | \(-0.490888\pi\) |
0.879982 | + | 0.475007i | \(0.157554\pi\) | |||||||
\(912\) | −359422. | − | 151356.i | −0.432131 | − | 0.181975i | ||||
\(913\) | −759181. | + | 1.31494e6i | −0.910760 | + | 1.57748i | ||||
\(914\) | 598635. | − | 944971.i | 0.716588 | − | 1.13117i | ||||
\(915\) | −275822. | − | 261016.i | −0.329448 | − | 0.311764i | ||||
\(916\) | 364797. | + | 772016.i | 0.434770 | + | 0.920101i | ||||
\(917\) | −498400. | −0.592706 | ||||||||
\(918\) | −281922. | − | 63092.9i | −0.334536 | − | 0.0748678i | ||||
\(919\) | − | 60879.9i | − | 0.0720847i | −0.999350 | − | 0.0360423i | \(-0.988525\pi\) | ||
0.999350 | − | 0.0360423i | \(-0.0114751\pi\) | |||||||
\(920\) | −629643. | + | 266462.i | −0.743907 | + | 0.314818i | ||||
\(921\) | −713491. | + | 753963.i | −0.841142 | + | 0.888854i | ||||
\(922\) | 343773. | − | 542662.i | 0.404399 | − | 0.638362i | ||||
\(923\) | 184370. | + | 106446.i | 0.216415 | + | 0.124947i | ||||
\(924\) | 605157. | − | 1.84838e6i | 0.708800 | − | 2.16495i | ||||
\(925\) | −79640.2 | − | 137941.i | −0.0930783 | − | 0.161216i | ||||
\(926\) | −16290.7 | + | 396280.i | −0.0189985 | + | 0.462147i | ||||
\(927\) | 590861. | − | 1.16766e6i | 0.687584 | − | 1.35880i | ||||
\(928\) | −18077.2 | − | 3766.75i | −0.0209911 | − | 0.00437392i | ||||
\(929\) | 470405. | + | 814765.i | 0.545055 | + | 0.944063i | 0.998603 | + | 0.0528314i | \(0.0168246\pi\) |
−0.453548 | + | 0.891232i | \(0.649842\pi\) | |||||||
\(930\) | 204327. | + | 805970.i | 0.236244 | + | 0.931865i | ||||
\(931\) | −173982. | − | 100448.i | −0.200726 | − | 0.115889i | ||||
\(932\) | −514602. | + | 742955.i | −0.592434 | + | 0.855324i | ||||
\(933\) | 253743. | + | 852263.i | 0.291495 | + | 0.979062i | ||||
\(934\) | −987846. | + | 517442.i | −1.13239 | + | 0.593155i | ||||
\(935\) | − | 665037.i | − | 0.760717i | ||||||
\(936\) | −739044. | − | 496666.i | −0.843566 | − | 0.566908i | ||||
\(937\) | −634530. | −0.722725 | −0.361362 | − | 0.932425i | \(-0.617688\pi\) | ||||
−0.361362 | + | 0.932425i | \(0.617688\pi\) | |||||||
\(938\) | 666501. | + | 1.27241e6i | 0.757521 | + | 1.44618i | ||||
\(939\) | −154849. | + | 648971.i | −0.175621 | + | 0.736028i | ||||
\(940\) | −1.02660e6 | − | 711070.i | −1.16184 | − | 0.804742i | ||||
\(941\) | −34049.0 | + | 58974.5i | −0.0384525 | + | 0.0666017i | −0.884611 | − | 0.466329i | \(-0.845576\pi\) |
0.846159 | + | 0.532931i | \(0.178909\pi\) | |||||||
\(942\) | 995695. | + | 1.02298e6i | 1.12208 | + | 1.15283i | ||||
\(943\) | 128379. | − | 74119.7i | 0.144368 | − | 0.0833509i | ||||
\(944\) | −108839. | + | 656287.i | −0.122135 | + | 0.736461i | ||||
\(945\) | 991983. | + | 840092.i | 1.11081 | + | 0.940726i | ||||
\(946\) | −276279. | − | 11357.6i | −0.308720 | − | 0.0126912i | ||||
\(947\) | 461349. | − | 266360.i | 0.514434 | − | 0.297009i | −0.220220 | − | 0.975450i | \(-0.570678\pi\) |
0.734654 | + | 0.678442i | \(0.237344\pi\) | |||||||
\(948\) | −202563. | + | 181568.i | −0.225394 | + | 0.202033i | ||||
\(949\) | 434616. | − | 752777.i | 0.482585 | − | 0.835861i | ||||
\(950\) | 149405. | + | 94647.6i | 0.165546 | + | 0.104873i | ||||
\(951\) | −4417.00 | + | 18511.7i | −0.00488390 | + | 0.0204684i | ||||
\(952\) | 349766. | − | 148019.i | 0.385925 | − | 0.163321i | ||||
\(953\) | 72542.5 | 0.0798742 | 0.0399371 | − | 0.999202i | \(-0.487284\pi\) | ||||
0.0399371 | + | 0.999202i | \(0.487284\pi\) | |||||||
\(954\) | 566120. | − | 337549.i | 0.622030 | − | 0.370886i | ||||
\(955\) | − | 315042.i | − | 0.345432i | ||||||
\(956\) | −694258. | + | 328054.i | −0.759635 | + | 0.358946i | ||||
\(957\) | 10442.5 | + | 35073.8i | 0.0114020 | + | 0.0382965i | ||||
\(958\) | 108100. | + | 68481.1i | 0.117787 | + | 0.0746173i | ||||
\(959\) | −1.11045e6 | − | 641118.i | −1.20743 | − | 0.697109i | ||||
\(960\) | −1.09641e6 | + | 47015.9i | −1.18968 | + | 0.0510155i | ||||
\(961\) | −160796. | − | 278507.i | −0.174112 | − | 0.301571i | ||||
\(962\) | 418589. | + | 17207.9i | 0.452311 | + | 0.0185942i | ||||
\(963\) | −247909. | + | 13684.8i | −0.267325 | + | 0.0147566i | ||||
\(964\) | −1.02294e6 | − | 84246.8i | −1.10077 | − | 0.0906566i | ||||
\(965\) | 581791. | + | 1.00769e6i | 0.624759 | + | 1.08211i | ||||
\(966\) | −210361. | + | 744676.i | −0.225430 | + | 0.798019i | ||||
\(967\) | −705768. | − | 407475.i | −0.754760 | − | 0.435761i | 0.0726511 | − | 0.997357i | \(-0.476854\pi\) |
−0.827411 | + | 0.561596i | \(0.810187\pi\) | |||||||
\(968\) | 1.39643e6 | − | 1.84895e6i | 1.49029 | − | 1.97322i | ||||
\(969\) | −103739. | + | 109623.i | −0.110483 | + | 0.116750i | ||||
\(970\) | 806460. | + | 1.53961e6i | 0.857115 | + | 1.63631i | ||||
\(971\) | 939538.i | 0.996496i | 0.867034 | + | 0.498248i | \(0.166023\pi\) | ||||
−0.867034 | + | 0.498248i | \(0.833977\pi\) | |||||||
\(972\) | 897566. | − | 294945.i | 0.950022 | − | 0.312183i | ||||
\(973\) | 1.09168e6 | 1.15310 | ||||||||
\(974\) | 1.22891e6 | − | 643713.i | 1.29539 | − | 0.678538i | ||||
\(975\) | 293301. | + | 277557.i | 0.308535 | + | 0.291974i | ||||
\(976\) | 230388. | − | 280317.i | 0.241858 | − | 0.294273i | ||||
\(977\) | −870579. | + | 1.50789e6i | −0.912051 | + | 1.57972i | −0.100889 | + | 0.994898i | \(0.532169\pi\) |
−0.811162 | + | 0.584821i | \(0.801165\pi\) | |||||||
\(978\) | 877351. | + | 247840.i | 0.917266 | + | 0.259115i | ||||
\(979\) | 1.84277e6 | − | 1.06393e6i | 1.92268 | − | 1.11006i | ||||
\(980\) | −563408. | − | 46401.0i | −0.586639 | − | 0.0483142i | ||||
\(981\) | −79149.9 | − | 1.43385e6i | −0.0822456 | − | 1.48993i | ||||
\(982\) | 39428.5 | − | 959116.i | 0.0408872 | − | 0.994599i | ||||
\(983\) | 1.07730e6 | − | 621978.i | 1.11488 | − | 0.643677i | 0.174792 | − | 0.984605i | \(-0.444075\pi\) |
0.940089 | + | 0.340929i | \(0.110741\pi\) | |||||||
\(984\) | 234665. | − | 39343.6i | 0.242358 | − | 0.0406335i | ||||
\(985\) | 161053. | − | 278952.i | 0.165995 | − | 0.287513i | ||||
\(986\) | −3824.28 | + | 6036.79i | −0.00393365 | + | 0.00620944i | ||||
\(987\) | −1.35465e6 | + | 403317.i | −1.39057 | + | 0.414012i | ||||
\(988\) | −420595. | + | 198741.i | −0.430873 | + | 0.203598i | ||||
\(989\) | 110014. | 0.112475 | ||||||||
\(990\) | 1.11382e6 | + | 1.86804e6i | 1.13643 | + | 1.90597i | ||||
\(991\) | 766088.i | 0.780066i | 0.920801 | + | 0.390033i | \(0.127536\pi\) | ||||
−0.920801 | + | 0.390033i | \(0.872464\pi\) | |||||||
\(992\) | −754587. | + | 248529.i | −0.766807 | + | 0.252554i | ||||
\(993\) | 124678. | + | 29749.1i | 0.126442 | + | 0.0301700i | ||||
\(994\) | 158920. | − | 250863.i | 0.160845 | − | 0.253900i | ||||
\(995\) | 20815.3 | + | 12017.7i | 0.0210251 | + | 0.0121388i | ||||
\(996\) | 722042. | − | 647207.i | 0.727853 | − | 0.652416i | ||||
\(997\) | −192679. | − | 333731.i | −0.193841 | − | 0.335742i | 0.752679 | − | 0.658388i | \(-0.228761\pi\) |
−0.946520 | + | 0.322645i | \(0.895428\pi\) | |||||||
\(998\) | 56033.2 | − | 1.36303e6i | 0.0562580 | − | 1.36850i | ||||
\(999\) | −287276. | + | 339216.i | −0.287851 | + | 0.339895i |
(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 | 36.5.f.a.31.9 | yes | 44 | |
3.2 | odd | 2 | 108.5.f.a.91.14 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.31.8 | yes | 44 | |
9.2 | odd | 6 | 108.5.f.a.19.15 | 44 | |||
9.4 | even | 3 | 324.5.d.f.163.22 | 22 | |||
9.5 | odd | 6 | 324.5.d.e.163.1 | 22 | |||
9.7 | even | 3 | inner | 36.5.f.a.7.8 | ✓ | 44 | |
12.11 | even | 2 | 108.5.f.a.91.15 | 44 | |||
36.7 | odd | 6 | inner | 36.5.f.a.7.9 | yes | 44 | |
36.11 | even | 6 | 108.5.f.a.19.14 | 44 | |||
36.23 | even | 6 | 324.5.d.e.163.2 | 22 | |||
36.31 | odd | 6 | 324.5.d.f.163.21 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.8 | ✓ | 44 | 9.7 | even | 3 | inner | |
36.5.f.a.7.9 | yes | 44 | 36.7 | odd | 6 | inner | |
36.5.f.a.31.8 | yes | 44 | 4.3 | odd | 2 | inner | |
36.5.f.a.31.9 | yes | 44 | 1.1 | even | 1 | trivial | |
108.5.f.a.19.14 | 44 | 36.11 | even | 6 | |||
108.5.f.a.19.15 | 44 | 9.2 | odd | 6 | |||
108.5.f.a.91.14 | 44 | 3.2 | odd | 2 | |||
108.5.f.a.91.15 | 44 | 12.11 | even | 2 | |||
324.5.d.e.163.1 | 22 | 9.5 | odd | 6 | |||
324.5.d.e.163.2 | 22 | 36.23 | even | 6 | |||
324.5.d.f.163.21 | 22 | 36.31 | odd | 6 | |||
324.5.d.f.163.22 | 22 | 9.4 | even | 3 |