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 | 7.8 | ||
Character | \(\chi\) | \(=\) | 36.7 |
Dual form | 36.5.f.a.31.8 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.14060 | + | 3.37903i | −0.535150 | + | 0.844757i | ||||
\(3\) | −6.53699 | + | 6.18609i | −0.726332 | + | 0.687344i | ||||
\(4\) | −6.83568 | − | 14.4663i | −0.427230 | − | 0.904143i | ||||
\(5\) | −14.8847 | − | 25.7811i | −0.595388 | − | 1.03124i | −0.993492 | − | 0.113902i | \(-0.963665\pi\) |
0.398104 | − | 0.917340i | \(-0.369668\pi\) | |||||||
\(6\) | −6.90992 | − | 35.3306i | −0.191942 | − | 0.981406i | ||||
\(7\) | 51.8739 | + | 29.9494i | 1.05865 | + | 0.611212i | 0.925059 | − | 0.379824i | \(-0.124016\pi\) |
0.133592 | + | 0.991036i | \(0.457349\pi\) | |||||||
\(8\) | 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 | −0.988462 | − | 0.151467i | \(-0.951600\pi\) |
−0.625406 | − | 0.780300i | \(-0.715066\pi\) | |||||||
\(12\) | 134.175 | + | 52.2799i | 0.931768 | + | 0.363055i | ||||
\(13\) | −85.8824 | − | 148.753i | −0.508180 | − | 0.880194i | −0.999955 | − | 0.00947137i | \(-0.996985\pi\) |
0.491775 | − | 0.870722i | \(-0.336348\pi\) | |||||||
\(14\) | −212.241 | + | 111.174i | −1.08286 | + | 0.567213i | ||||
\(15\) | 256.785 | + | 76.4524i | 1.14127 | + | 0.339788i | ||||
\(16\) | −162.547 | + | 197.774i | −0.634949 | + | 0.772554i | ||||
\(17\) | −99.0725 | −0.342812 | −0.171406 | − | 0.985201i | \(-0.554831\pi\) | ||||
−0.171406 | + | 0.985201i | \(0.554831\pi\) | |||||||
\(18\) | 263.729 | + | 188.211i | 0.813977 | + | 0.580897i | ||||
\(19\) | − | 169.267i | − | 0.468884i | −0.972130 | − | 0.234442i | \(-0.924674\pi\) | ||
0.972130 | − | 0.234442i | \(-0.0753262\pi\) | |||||||
\(20\) | −271.209 | + | 391.557i | −0.678023 | + | 0.978893i | ||||
\(21\) | −524.369 | + | 125.118i | −1.18904 | + | 0.283714i | ||||
\(22\) | 798.976 | − | 418.511i | 1.65078 | − | 0.864692i | ||||
\(23\) | −310.777 | + | 179.427i | −0.587480 | + | 0.339182i | −0.764101 | − | 0.645097i | \(-0.776817\pi\) |
0.176620 | + | 0.984279i | \(0.443484\pi\) | |||||||
\(24\) | −463.869 | + | 341.470i | −0.805328 | + | 0.592829i | ||||
\(25\) | −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 | −0.860615 | − | 0.509256i | \(-0.829921\pi\) |
0.871336 | + | 0.490687i | \(0.163254\pi\) | |||||||
\(30\) | −808.009 | + | 704.031i | −0.897788 | + | 0.782256i | ||||
\(31\) | −671.898 | + | 387.920i | −0.699165 | + | 0.403663i | −0.807036 | − | 0.590502i | \(-0.798930\pi\) |
0.107871 | + | 0.994165i | \(0.465597\pi\) | |||||||
\(32\) | −320.335 | − | 972.605i | −0.312827 | − | 0.949810i | ||||
\(33\) | 1973.97 | − | 471.003i | 1.81265 | − | 0.432510i | ||||
\(34\) | 212.075 | − | 334.769i | 0.183455 | − | 0.289593i | ||||
\(35\) | − | 1783.15i | − | 1.45563i | ||||||
\(36\) | −1200.51 | + | 488.264i | −0.926316 | + | 0.376747i | ||||
\(37\) | 609.762 | 0.445407 | 0.222703 | − | 0.974886i | \(-0.428512\pi\) | ||||
0.222703 | + | 0.974886i | \(0.428512\pi\) | |||||||
\(38\) | 571.958 | + | 362.333i | 0.396093 | + | 0.250923i | ||||
\(39\) | 1481.61 | + | 441.118i | 0.974103 | + | 0.290019i | ||||
\(40\) | −742.534 | − | 1754.59i | −0.464083 | − | 1.09662i | ||||
\(41\) | 206.545 | + | 357.747i | 0.122871 | + | 0.212818i | 0.920899 | − | 0.389802i | \(-0.127457\pi\) |
−0.798028 | + | 0.602620i | \(0.794123\pi\) | |||||||
\(42\) | 699.686 | − | 2039.68i | 0.396648 | − | 1.15628i | ||||
\(43\) | −265.498 | − | 153.286i | −0.143590 | − | 0.0829019i | 0.426484 | − | 0.904495i | \(-0.359752\pi\) |
−0.570074 | + | 0.821593i | \(0.693085\pi\) | |||||||
\(44\) | −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 | \(-0.535567\pi\) |
−0.916377 | + | 0.400317i | \(0.868900\pi\) | |||||||
\(48\) | −160.878 | − | 2298.38i | −0.0698256 | − | 0.997559i | ||||
\(49\) | 593.432 | + | 1027.85i | 0.247160 | + | 0.428094i | ||||
\(50\) | −484.826 | − | 925.578i | −0.193930 | − | 0.370231i | ||||
\(51\) | 647.636 | − | 612.872i | 0.248995 | − | 0.235629i | ||||
\(52\) | −1564.84 | + | 2259.23i | −0.578711 | + | 0.835512i | ||||
\(53\) | 2034.30 | 0.724209 | 0.362104 | − | 0.932138i | \(-0.382058\pi\) | ||||
0.362104 | + | 0.932138i | \(0.382058\pi\) | |||||||
\(54\) | −2888.28 | + | 401.120i | −0.990494 | + | 0.137558i | ||||
\(55\) | 6712.63i | 2.21905i | ||||||||
\(56\) | 3059.08 | + | 2310.39i | 0.975472 | + | 0.736732i | ||||
\(57\) | 1047.10 | + | 1106.50i | 0.322284 | + | 0.340565i | ||||
\(58\) | 33.4692 | + | 63.8958i | 0.00994922 | + | 0.0189940i | ||||
\(59\) | 2250.48 | − | 1299.32i | 0.646505 | − | 0.373260i | −0.140611 | − | 0.990065i | \(-0.544907\pi\) |
0.787116 | + | 0.616805i | \(0.211573\pi\) | |||||||
\(60\) | −649.318 | − | 4237.33i | −0.180366 | − | 1.17704i | ||||
\(61\) | 708.681 | − | 1227.47i | 0.190455 | − | 0.329877i | −0.754946 | − | 0.655786i | \(-0.772337\pi\) |
0.945401 | + | 0.325910i | \(0.105670\pi\) | |||||||
\(62\) | 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 | ||||
\(66\) | −2633.95 | + | 7678.34i | −0.604673 | + | 1.76271i | ||||
\(67\) | −5191.93 | + | 2997.56i | −1.15659 | + | 0.667758i | −0.950485 | − | 0.310772i | \(-0.899412\pi\) |
−0.206106 | + | 0.978530i | \(0.566079\pi\) | |||||||
\(68\) | 677.228 | + | 1433.21i | 0.146459 | + | 0.309951i | ||||
\(69\) | 921.593 | − | 3095.41i | 0.193571 | − | 0.650160i | ||||
\(70\) | 6025.32 | + | 3817.01i | 1.22966 | + | 0.778982i | ||||
\(71\) | − | 1239.44i | − | 0.245872i | −0.992415 | − | 0.122936i | \(-0.960769\pi\) | ||
0.992415 | − | 0.122936i | \(-0.0392310\pi\) | |||||||
\(72\) | 919.945 | − | 5101.72i | 0.177458 | − | 0.984128i | ||||
\(73\) | −5060.60 | −0.949633 | −0.474817 | − | 0.880085i | \(-0.657486\pi\) | ||||
−0.474817 | + | 0.880085i | \(0.657486\pi\) | |||||||
\(74\) | −1305.25 | + | 2060.40i | −0.238359 | + | 0.376260i | ||||
\(75\) | −545.636 | − | 2286.76i | −0.0970019 | − | 0.406535i | ||||
\(76\) | −2448.66 | + | 1157.05i | −0.423938 | + | 0.200321i | ||||
\(77\) | −6753.22 | − | 11696.9i | −1.13901 | − | 1.97283i | ||||
\(78\) | −4662.09 | + | 4062.15i | −0.766286 | + | 0.667677i | ||||
\(79\) | −1635.99 | − | 944.538i | −0.262135 | − | 0.151344i | 0.363173 | − | 0.931722i | \(-0.381693\pi\) |
−0.625308 | + | 0.780378i | \(0.715027\pi\) | |||||||
\(80\) | 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 | \(-0.170795\pi\) |
−0.0129681 | + | 0.999916i | \(0.504128\pi\) | |||||||
\(84\) | 5394.40 | + | 6730.41i | 0.764513 | + | 0.953856i | ||||
\(85\) | 1474.66 | + | 2554.19i | 0.204106 | + | 0.353522i | ||||
\(86\) | 1086.28 | − | 569.004i | 0.146874 | − | 0.0769340i | ||||
\(87\) | 37.6671 | + | 157.863i | 0.00497649 | + | 0.0208565i | ||||
\(88\) | −11515.8 | − | 8697.42i | −1.48707 | − | 1.12312i | ||||
\(89\) | 9436.67 | 1.19135 | 0.595674 | − | 0.803226i | \(-0.296885\pi\) | ||||
0.595674 | + | 0.803226i | \(0.296885\pi\) | |||||||
\(90\) | 926.745 | − | 9600.66i | 0.114413 | − | 1.18527i | ||||
\(91\) | − | 10288.5i | − | 1.24242i | ||||||
\(92\) | 4720.02 | + | 3269.29i | 0.557658 | + | 0.386258i | ||||
\(93\) | 1992.48 | − | 6692.25i | 0.230371 | − | 0.773760i | ||||
\(94\) | 9290.07 | − | 4866.22i | 1.05139 | − | 0.550727i | ||||
\(95\) | −4363.88 | + | 2519.49i | −0.483533 | + | 0.279168i | ||||
\(96\) | 8110.66 | + | 4376.29i | 0.880063 | + | 0.474858i | ||||
\(97\) | 7297.91 | − | 12640.4i | 0.775631 | − | 1.34343i | −0.158808 | − | 0.987309i | \(-0.550765\pi\) |
0.934439 | − | 0.356123i | \(-0.115902\pi\) | |||||||
\(98\) | −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 | −0.979799 | − | 0.199987i | \(-0.935910\pi\) |
0.663093 | + | 0.748537i | \(0.269243\pi\) | |||||||
\(102\) | 684.583 | + | 3500.29i | 0.0658000 | + | 0.336437i | ||||
\(103\) | 13991.6 | − | 8078.04i | 1.31884 | − | 0.761432i | 0.335298 | − | 0.942112i | \(-0.391163\pi\) |
0.983542 | + | 0.180680i | \(0.0578298\pi\) | |||||||
\(104\) | −4284.30 | − | 10123.7i | −0.396108 | − | 0.935995i | ||||
\(105\) | 11030.7 | + | 11656.4i | 1.00052 | + | 1.05727i | ||||
\(106\) | −4354.62 | + | 6873.97i | −0.387560 | + | 0.611780i | ||||
\(107\) | 3065.27i | 0.267732i | 0.990999 | + | 0.133866i | \(0.0427392\pi\) | ||||
−0.990999 | + | 0.133866i | \(0.957261\pi\) | |||||||
\(108\) | 4827.25 | − | 10618.2i | 0.413859 | − | 0.910341i | ||||
\(109\) | −17728.8 | −1.49220 | −0.746098 | − | 0.665836i | \(-0.768075\pi\) | ||||
−0.746098 | + | 0.665836i | \(0.768075\pi\) | |||||||
\(110\) | −22682.2 | − | 14369.0i | −1.87456 | − | 1.18752i | ||||
\(111\) | −3986.01 | + | 3772.04i | −0.323513 | + | 0.306147i | ||||
\(112\) | −14355.1 | + | 5391.10i | −1.14438 | + | 0.429775i | ||||
\(113\) | 7396.56 | + | 12811.2i | 0.579259 | + | 1.00331i | 0.995565 | + | 0.0940814i | \(0.0299914\pi\) |
−0.416305 | + | 0.909225i | \(0.636675\pi\) | |||||||
\(114\) | −5980.31 | + | 1169.62i | −0.460165 | + | 0.0899985i | ||||
\(115\) | 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 | ||||
\(120\) | 15708.0 | + | 6876.36i | 1.09083 | + | 0.477525i | ||||
\(121\) | 18101.8 | + | 31353.3i | 1.23638 | + | 2.14147i | ||||
\(122\) | 2630.66 | + | 5022.18i | 0.176744 | + | 0.337421i | ||||
\(123\) | −3563.24 | − | 1060.88i | −0.235524 | − | 0.0701223i | ||||
\(124\) | 10204.6 | + | 7068.17i | 0.663673 | + | 0.459688i | ||||
\(125\) | −10829.6 | −0.693094 | ||||||||
\(126\) | 8043.83 | + | 17661.7i | 0.506666 | + | 1.11248i | ||||
\(127\) | − | 18478.7i | − | 1.14568i | −0.819667 | − | 0.572841i | \(-0.805841\pi\) | ||
0.819667 | − | 0.572841i | \(-0.194159\pi\) | |||||||
\(128\) | −11880.3 | + | 11282.5i | −0.725115 | + | 0.688628i | ||||
\(129\) | 2683.80 | − | 640.372i | 0.161276 | − | 0.0384816i | ||||
\(130\) | −9490.49 | − | 18118.2i | −0.561567 | − | 1.07208i | ||||
\(131\) | −7205.95 | + | 4160.35i | −0.419902 | + | 0.242431i | −0.695036 | − | 0.718975i | \(-0.744611\pi\) |
0.275133 | + | 0.961406i | \(0.411278\pi\) | |||||||
\(132\) | −20307.1 | − | 25336.5i | −1.16547 | − | 1.45411i | ||||
\(133\) | 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 | −0.426271 | − | 0.904596i | \(-0.640173\pi\) |
0.996538 | − | 0.0831367i | \(-0.0264938\pi\) | |||||||
\(138\) | 8486.72 | + | 9740.12i | 0.445638 | + | 0.511454i | ||||
\(139\) | 15783.6 | − | 9112.67i | 0.816915 | − | 0.471646i | −0.0324367 | − | 0.999474i | \(-0.510327\pi\) |
0.849351 | + | 0.527828i | \(0.176993\pi\) | |||||||
\(140\) | −25795.6 | + | 12189.0i | −1.31610 | + | 0.621890i | ||||
\(141\) | 22952.3 | − | 5476.57i | 1.15449 | − | 0.275468i | ||||
\(142\) | 4188.11 | + | 2653.15i | 0.207702 | + | 0.131578i | ||||
\(143\) | 38730.8i | 1.89402i | ||||||||
\(144\) | 15269.6 | + | 14029.3i | 0.736383 | + | 0.676565i | ||||
\(145\) | −536.823 | −0.0255326 | ||||||||
\(146\) | 10832.7 | − | 17099.9i | 0.508196 | − | 0.802210i | ||||
\(147\) | −10237.7 | − | 3048.05i | −0.473769 | − | 0.141055i | ||||
\(148\) | −4168.13 | − | 8820.99i | −0.190291 | − | 0.402711i | ||||
\(149\) | 8119.72 | + | 14063.8i | 0.365736 | + | 0.633474i | 0.988894 | − | 0.148622i | \(-0.0474838\pi\) |
−0.623158 | + | 0.782096i | \(0.714150\pi\) | |||||||
\(150\) | 8895.02 | + | 3051.32i | 0.395334 | + | 0.135614i | ||||
\(151\) | −21240.4 | − | 12263.2i | −0.931557 | − | 0.537835i | −0.0442533 | − | 0.999020i | \(-0.514091\pi\) |
−0.887304 | + | 0.461186i | \(0.847424\pi\) | |||||||
\(152\) | 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 | ||||
\(156\) | −3746.47 | − | 24448.8i | −0.153947 | − | 1.00463i | ||||
\(157\) | −19827.0 | − | 34341.4i | −0.804375 | − | 1.39322i | −0.916712 | − | 0.399548i | \(-0.869167\pi\) |
0.112337 | − | 0.993670i | \(-0.464166\pi\) | |||||||
\(158\) | 6693.61 | − | 3506.17i | 0.268131 | − | 0.140449i | ||||
\(159\) | −13298.2 | + | 12584.4i | −0.526016 | + | 0.497780i | ||||
\(160\) | −20306.7 | + | 22735.5i | −0.793231 | + | 0.888106i | ||||
\(161\) | −21494.9 | −0.829248 | ||||||||
\(162\) | 16399.3 | − | 20489.3i | 0.624878 | − | 0.780723i | ||||
\(163\) | 25324.6i | 0.953162i | 0.879130 | + | 0.476581i | \(0.158124\pi\) | ||||
−0.879130 | + | 0.476581i | \(0.841876\pi\) | |||||||
\(164\) | 3763.40 | − | 5433.39i | 0.139924 | − | 0.202015i | ||||
\(165\) | −41525.0 | − | 43880.4i | −1.52525 | − | 1.61177i | ||||
\(166\) | −23859.6 | + | 12497.9i | −0.865860 | + | 0.453545i | ||||
\(167\) | 24109.7 | − | 13919.8i | 0.864490 | − | 0.499113i | −0.00102363 | − | 0.999999i | \(-0.500326\pi\) |
0.865513 | + | 0.500886i | \(0.166992\pi\) | |||||||
\(168\) | −34289.5 | + | 3820.75i | −1.21491 | + | 0.135372i | ||||
\(169\) | −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 | −0.620875 | − | 0.783909i | \(-0.713223\pi\) |
0.989323 | + | 0.145739i | \(0.0465560\pi\) | |||||||
\(174\) | −614.053 | − | 210.643i | −0.0202818 | − | 0.00695741i | ||||
\(175\) | −13550.4 | + | 7823.30i | −0.442461 | + | 0.255455i | ||||
\(176\) | 54039.6 | − | 20294.7i | 1.74456 | − | 0.655174i | ||||
\(177\) | −6673.69 | + | 22415.3i | −0.213020 | + | 0.715482i | ||||
\(178\) | −20200.1 | + | 31886.8i | −0.637550 | + | 1.00640i | ||||
\(179\) | − | 52513.4i | − | 1.63895i | −0.573118 | − | 0.819473i | \(-0.694266\pi\) | ||
0.573118 | − | 0.819473i | \(-0.305734\pi\) | |||||||
\(180\) | 30457.1 | + | 23682.7i | 0.940035 | + | 0.730946i | ||||
\(181\) | −7223.25 | −0.220483 | −0.110242 | − | 0.993905i | \(-0.535162\pi\) | ||||
−0.110242 | + | 0.993905i | \(0.535162\pi\) | |||||||
\(182\) | 34765.2 | + | 22023.6i | 1.04955 | + | 0.664882i | ||||
\(183\) | 2960.61 | + | 12407.9i | 0.0884056 | + | 0.370508i | ||||
\(184\) | −21150.7 | + | 8950.85i | −0.624725 | + | 0.264380i | ||||
\(185\) | −9076.12 | − | 15720.3i | −0.265190 | − | 0.459322i | ||||
\(186\) | 18348.2 | + | 21058.1i | 0.530357 | + | 0.608685i | ||||
\(187\) | 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 | \(-0.287001\pi\) |
−0.369100 | + | 0.929390i | \(0.620334\pi\) | |||||||
\(192\) | −32149.3 | + | 18038.3i | −0.872105 | + | 0.489319i | ||||
\(193\) | 19543.2 | + | 33849.9i | 0.524665 | + | 0.908746i | 0.999588 | + | 0.0287188i | \(0.00914273\pi\) |
−0.474923 | + | 0.880028i | \(0.657524\pi\) | |||||||
\(194\) | 27090.2 | + | 51717.8i | 0.719796 | + | 1.37416i | ||||
\(195\) | −10680.8 | − | 44763.4i | −0.280890 | − | 1.17721i | ||||
\(196\) | 10812.7 | − | 15610.8i | 0.281464 | − | 0.406363i | ||||
\(197\) | −10820.0 | −0.278802 | −0.139401 | − | 0.990236i | \(-0.544518\pi\) | ||||
−0.139401 | + | 0.990236i | \(0.544518\pi\) | |||||||
\(198\) | −30280.8 | − | 66487.1i | −0.772391 | − | 1.69593i | ||||
\(199\) | − | 807.389i | − | 0.0203881i | −0.999948 | − | 0.0101940i | \(-0.996755\pi\) | ||
0.999948 | − | 0.0101940i | \(-0.00324492\pi\) | |||||||
\(200\) | −10075.6 | + | 13340.6i | −0.251889 | + | 0.333515i | ||||
\(201\) | 15396.4 | − | 51712.8i | 0.381090 | − | 1.27999i | ||||
\(202\) | −11992.6 | − | 22894.9i | −0.293907 | − | 0.561095i | ||||
\(203\) | 935.426 | − | 540.068i | 0.0226996 | − | 0.0131056i | ||||
\(204\) | −13293.0 | − | 5179.50i | −0.319421 | − | 0.124459i | ||||
\(205\) | 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 | ||||
\(210\) | −62999.8 | + | 12321.4i | −1.42857 | + | 0.279397i | ||||
\(211\) | −52683.9 | + | 30417.0i | −1.18335 | + | 0.683207i | −0.956787 | − | 0.290790i | \(-0.906082\pi\) |
−0.226562 | + | 0.973997i | \(0.572749\pi\) | |||||||
\(212\) | −13905.8 | − | 29428.8i | −0.309403 | − | 0.654788i | ||||
\(213\) | 7667.31 | + | 8102.22i | 0.168999 | + | 0.178585i | ||||
\(214\) | −10357.6 | − | 6561.51i | −0.226169 | − | 0.143277i | ||||
\(215\) | 9126.44i | 0.197435i | ||||||||
\(216\) | 25546.1 | + | 39040.8i | 0.547541 | + | 0.836779i | ||||
\(217\) | −46471.9 | −0.986895 | ||||||||
\(218\) | 37950.2 | − | 59906.1i | 0.798549 | − | 1.26054i | ||||
\(219\) | 33081.1 | − | 31305.3i | 0.689749 | − | 0.652724i | ||||
\(220\) | 97106.9 | − | 45885.4i | 2.00634 | − | 0.948045i | ||||
\(221\) | 8508.59 | + | 14737.3i | 0.174210 | + | 0.301741i | ||||
\(222\) | −4213.40 | − | 21543.3i | −0.0854923 | − | 0.437125i | ||||
\(223\) | −9292.11 | − | 5364.80i | −0.186855 | − | 0.107881i | 0.403654 | − | 0.914912i | \(-0.367740\pi\) |
−0.590509 | + | 0.807031i | \(0.701073\pi\) | |||||||
\(224\) | 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 | \(-0.596077\pi\) |
−0.975511 | + | 0.219951i | \(0.929410\pi\) | |||||||
\(228\) | 8849.25 | − | 22711.3i | 0.170230 | − | 0.436891i | ||||
\(229\) | 26683.3 | + | 46216.8i | 0.508825 | + | 0.881311i | 0.999948 | + | 0.0102204i | \(0.00325330\pi\) |
−0.491123 | + | 0.871090i | \(0.663413\pi\) | |||||||
\(230\) | −37853.0 | + | 19827.7i | −0.715557 | + | 0.374815i | ||||
\(231\) | 116504. | + | 34686.6i | 2.18332 | + | 0.650036i | ||||
\(232\) | 695.550 | − | 920.945i | 0.0129227 | − | 0.0171103i | ||||
\(233\) | 56485.5 | 1.04046 | 0.520230 | − | 0.854026i | \(-0.325846\pi\) | ||||
0.520230 | + | 0.854026i | \(0.325846\pi\) | |||||||
\(234\) | 5347.18 | − | 55394.3i | 0.0976546 | − | 1.01166i | ||||
\(235\) | 78050.9i | 1.41333i | ||||||||
\(236\) | −34179.9 | − | 23674.4i | −0.613686 | − | 0.425065i | ||||
\(237\) | 16537.4 | − | 3945.94i | 0.294423 | − | 0.0702511i | ||||
\(238\) | 21027.3 | − | 11014.3i | 0.371218 | − | 0.194447i | ||||
\(239\) | −41561.8 | + | 23995.7i | −0.727610 | + | 0.420086i | −0.817547 | − | 0.575862i | \(-0.804667\pi\) |
0.0899375 | + | 0.995947i | \(0.471333\pi\) | |||||||
\(240\) | −56860.0 | + | 38358.3i | −0.987152 | + | 0.665942i | ||||
\(241\) | 32075.1 | − | 55555.6i | 0.552247 | − | 0.956520i | −0.445865 | − | 0.895100i | \(-0.647104\pi\) |
0.998112 | − | 0.0614196i | \(-0.0195628\pi\) | |||||||
\(242\) | −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 | ||||
\(246\) | 11212.2 | − | 9769.38i | 0.185277 | − | 0.161435i | ||||
\(247\) | −25178.9 | + | 14537.1i | −0.412708 | + | 0.238277i | ||||
\(248\) | −45727.6 | + | 19351.7i | −0.743490 | + | 0.314641i | ||||
\(249\) | −58948.3 | + | 14065.4i | −0.950764 | + | 0.226858i | ||||
\(250\) | 23181.8 | − | 36593.5i | 0.370909 | − | 0.585496i | ||||
\(251\) | − | 65230.8i | − | 1.03539i | −0.855564 | − | 0.517696i | \(-0.826790\pi\) | ||
0.855564 | − | 0.517696i | \(-0.173210\pi\) | |||||||
\(252\) | −76898.1 | − | 10626.3i | −1.21092 | − | 0.167333i | ||||
\(253\) | 80917.3 | 1.26415 | ||||||||
\(254\) | 62440.1 | + | 39555.5i | 0.967823 | + | 0.613111i | ||||
\(255\) | −25440.4 | − | 7574.33i | −0.391240 | − | 0.116483i | ||||
\(256\) | −12692.9 | − | 64295.1i | −0.193678 | − | 0.981065i | ||||
\(257\) | 21657.9 | + | 37512.6i | 0.327907 | + | 0.567951i | 0.982096 | − | 0.188380i | \(-0.0603235\pi\) |
−0.654190 | + | 0.756331i | \(0.726990\pi\) | |||||||
\(258\) | −3581.10 | + | 10439.4i | −0.0537994 | + | 0.156833i | ||||
\(259\) | 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 | \(-0.543382\pi\) |
−0.925929 | + | 0.377698i | \(0.876716\pi\) | |||||||
\(264\) | 129082. | − | 14383.1i | 1.85207 | − | 0.206370i | ||||
\(265\) | −30280.0 | − | 52446.5i | −0.431185 | − | 0.746835i | ||||
\(266\) | 18818.0 | + | 35925.4i | 0.265957 | + | 0.507736i | ||||
\(267\) | −61687.4 | + | 58376.2i | −0.865315 | + | 0.818866i | ||||
\(268\) | 78854.0 | + | 54617.6i | 1.09788 | + | 0.760437i | ||||
\(269\) | −66685.5 | −0.921567 | −0.460784 | − | 0.887513i | \(-0.652432\pi\) | ||||
−0.460784 | + | 0.887513i | \(0.652432\pi\) | |||||||
\(270\) | 53332.5 | + | 68492.4i | 0.731584 | + | 0.939539i | ||||
\(271\) | − | 122426.i | − | 1.66700i | −0.552516 | − | 0.833502i | \(-0.686332\pi\) | ||
0.552516 | − | 0.833502i | \(-0.313668\pi\) | |||||||
\(272\) | 16103.9 | − | 19593.9i | 0.217668 | − | 0.264840i | ||||
\(273\) | 63645.7 | + | 67255.9i | 0.853972 | + | 0.902412i | ||||
\(274\) | 39731.4 | + | 75851.0i | 0.529216 | + | 1.01032i | ||||
\(275\) | 51010.0 | − | 29450.6i | 0.674512 | − | 0.389430i | ||||
\(276\) | −51078.8 | + | 7827.19i | −0.670537 | + | 0.102751i | ||||
\(277\) | −68726.1 | + | 119037.i | −0.895699 | + | 1.55140i | −0.0627613 | + | 0.998029i | \(0.519991\pi\) |
−0.832937 | + | 0.553367i | \(0.813343\pi\) | |||||||
\(278\) | −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 | −0.906950 | − | 0.421238i | \(-0.861596\pi\) |
0.818278 | + | 0.574822i | \(0.194929\pi\) | |||||||
\(282\) | −30626.2 | + | 89279.7i | −0.385119 | + | 1.12268i | ||||
\(283\) | 99634.2 | − | 57523.8i | 1.24404 | − | 0.718249i | 0.274129 | − | 0.961693i | \(-0.411611\pi\) |
0.969915 | + | 0.243444i | \(0.0782773\pi\) | |||||||
\(284\) | −17930.1 | + | 8472.43i | −0.222304 | + | 0.105044i | ||||
\(285\) | 12940.9 | − | 43465.3i | 0.159321 | − | 0.535122i | ||||
\(286\) | −130873. | − | 82907.2i | −1.59999 | − | 1.01358i | ||||
\(287\) | 24743.6i | 0.300400i | ||||||||
\(288\) | −80091.4 | + | 21565.5i | −0.965608 | + | 0.260001i | ||||
\(289\) | −73705.6 | −0.882480 | ||||||||
\(290\) | 1149.12 | − | 1813.94i | 0.0136638 | − | 0.0215688i | ||||
\(291\) | 30488.0 | + | 127775.i | 0.360034 | + | 1.50890i | ||||
\(292\) | 34592.6 | + | 73208.0i | 0.405712 | + | 0.858604i | ||||
\(293\) | −14259.3 | − | 24697.8i | −0.166097 | − | 0.287689i | 0.770947 | − | 0.636899i | \(-0.219783\pi\) |
−0.937044 | + | 0.349210i | \(0.886450\pi\) | |||||||
\(294\) | 32214.2 | − | 28068.7i | 0.372694 | − | 0.324734i | ||||
\(295\) | −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 | ||||
\(300\) | −29351.2 | + | 23524.9i | −0.326124 | + | 0.261388i | ||||
\(301\) | −9181.62 | − | 15903.0i | −0.101341 | − | 0.175528i | ||||
\(302\) | 86904.8 | − | 45521.5i | 0.952862 | − | 0.499117i | ||||
\(303\) | −13496.7 | − | 56564.9i | −0.147009 | − | 0.616115i | ||||
\(304\) | 33476.6 | + | 27513.8i | 0.362238 | + | 0.297717i | ||||
\(305\) | −42194.0 | −0.453577 | ||||||||
\(306\) | −26128.3 | − | 18646.5i | −0.279041 | − | 0.199138i | ||||
\(307\) | 115338.i | 1.22376i | 0.790952 | + | 0.611879i | \(0.209586\pi\) | ||||
−0.790952 | + | 0.611879i | \(0.790414\pi\) | |||||||
\(308\) | −123048. | + | 177650.i | −1.29710 | + | 1.87268i | ||||
\(309\) | −41491.3 | + | 139359.i | −0.434550 | + | 1.45955i | ||||
\(310\) | −81837.8 | + | 42867.4i | −0.851590 | + | 0.446070i | ||||
\(311\) | −85566.6 | + | 49401.9i | −0.884674 | + | 0.510767i | −0.872197 | − | 0.489155i | \(-0.837305\pi\) |
−0.0124776 | + | 0.999922i | \(0.503972\pi\) | |||||||
\(312\) | 90632.7 | + | 39675.6i | 0.931056 | + | 0.407581i | ||||
\(313\) | 37066.1 | − | 64200.3i | 0.378345 | − | 0.655313i | −0.612477 | − | 0.790489i | \(-0.709827\pi\) |
0.990822 | + | 0.135176i | \(0.0431600\pi\) | |||||||
\(314\) | 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 | −0.860717 | − | 0.509084i | \(-0.829984\pi\) |
0.871238 | + | 0.490860i | \(0.163318\pi\) | |||||||
\(318\) | −14056.9 | − | 71873.2i | −0.139006 | − | 0.710743i | ||||
\(319\) | −3521.39 | + | 2033.08i | −0.0346045 | + | 0.0199789i | ||||
\(320\) | −33355.5 | − | 117285.i | −0.325737 | − | 1.14536i | ||||
\(321\) | −18962.0 | − | 20037.6i | −0.184024 | − | 0.194463i | ||||
\(322\) | 46012.1 | − | 72632.1i | 0.443772 | − | 0.700514i | ||||
\(323\) | 16769.7i | 0.160739i | ||||||||
\(324\) | 34129.6 | + | 99273.0i | 0.325118 | + | 0.945673i | ||||
\(325\) | 44868.0 | 0.424785 | ||||||||
\(326\) | −85572.5 | − | 54209.7i | −0.805191 | − | 0.510084i | ||||
\(327\) | 115893. | − | 109672.i | 1.08383 | − | 1.02565i | ||||
\(328\) | 10303.7 | + | 24347.3i | 0.0957731 | + | 0.226310i | ||||
\(329\) | −78522.8 | − | 136006.i | −0.725444 | − | 1.25651i | ||||
\(330\) | 237161. | − | 46383.7i | 2.17779 | − | 0.425930i | ||||
\(331\) | −12334.0 | − | 7121.02i | −0.112576 | − | 0.0649960i | 0.442655 | − | 0.896692i | \(-0.354037\pi\) |
−0.555231 | + | 0.831696i | \(0.687370\pi\) | |||||||
\(332\) | 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 | ||||
\(336\) | 60489.6 | − | 124044.i | 0.535799 | − | 1.09874i | ||||
\(337\) | −37711.8 | − | 65318.7i | −0.332061 | − | 0.575146i | 0.650855 | − | 0.759202i | \(-0.274411\pi\) |
−0.982916 | + | 0.184056i | \(0.941077\pi\) | |||||||
\(338\) | −1748.68 | − | 3338.39i | −0.0153065 | − | 0.0292216i | ||||
\(339\) | −127603. | − | 37991.0i | −1.11035 | − | 0.330584i | ||||
\(340\) | 26869.4 | − | 38792.6i | 0.232434 | − | 0.335576i | ||||
\(341\) | 174942. | 1.50448 | ||||||||
\(342\) | 31857.8 | − | 44640.5i | 0.272373 | − | 0.381661i | ||||
\(343\) | − | 72725.3i | − | 0.618155i | ||||||
\(344\) | −15656.8 | − | 11824.9i | −0.132308 | − | 0.0999268i | ||||
\(345\) | −93520.6 | + | 22314.6i | −0.785722 | + | 0.187478i | ||||
\(346\) | 40933.8 | + | 78146.5i | 0.341924 | + | 0.652765i | ||||
\(347\) | 128553. | − | 74220.2i | 1.06764 | − | 0.616401i | 0.140103 | − | 0.990137i | \(-0.455257\pi\) |
0.927535 | + | 0.373736i | \(0.121923\pi\) | |||||||
\(348\) | 2026.21 | − | 1624.00i | 0.0167311 | − | 0.0134100i | ||||
\(349\) | 11665.4 | − | 20205.1i | 0.0957745 | − | 0.165886i | −0.814157 | − | 0.580645i | \(-0.802801\pi\) |
0.909932 | + | 0.414758i | \(0.136134\pi\) | |||||||
\(350\) | 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 | −0.902275 | − | 0.431161i | \(-0.858104\pi\) |
0.824534 | + | 0.565812i | \(0.191437\pi\) | |||||||
\(354\) | −61456.4 | − | 70532.8i | −0.490411 | − | 0.562840i | ||||
\(355\) | −31954.1 | + | 18448.7i | −0.253554 | + | 0.146389i | ||||
\(356\) | −64506.0 | − | 136514.i | −0.508980 | − | 1.07715i | ||||
\(357\) | 51950.5 | − | 12395.7i | 0.407618 | − | 0.0972603i | ||||
\(358\) | 177444. | + | 112410.i | 1.38451 | + | 0.877081i | ||||
\(359\) | 139927.i | 1.08571i | 0.839827 | + | 0.542854i | \(0.182656\pi\) | ||||
−0.839827 | + | 0.542854i | \(0.817344\pi\) | |||||||
\(360\) | −145221. | + | 52220.4i | −1.12053 | + | 0.402936i | ||||
\(361\) | 101670. | 0.780148 | ||||||||
\(362\) | 15462.1 | − | 24407.6i | 0.117992 | − | 0.186255i | ||||
\(363\) | −312286. | − | 92976.5i | −2.36995 | − | 0.705603i | ||||
\(364\) | −148836. | + | 70328.9i | −1.12333 | + | 0.530800i | ||||
\(365\) | 75325.5 | + | 130468.i | 0.565400 | + | 0.979302i | ||||
\(366\) | −48264.3 | − | 16556.4i | −0.360300 | − | 0.123596i | ||||
\(367\) | 79304.5 | + | 45786.5i | 0.588797 | + | 0.339942i | 0.764622 | − | 0.644479i | \(-0.222926\pi\) |
−0.175825 | + | 0.984421i | \(0.556259\pi\) | |||||||
\(368\) | 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 | ||||
\(372\) | −110432. | + | 16922.3i | −0.798011 | + | 0.122285i | ||||
\(373\) | −42790.4 | − | 74115.1i | −0.307559 | − | 0.532708i | 0.670269 | − | 0.742118i | \(-0.266179\pi\) |
−0.977828 | + | 0.209411i | \(0.932845\pi\) | |||||||
\(374\) | −79156.6 | + | 41462.9i | −0.565906 | + | 0.296426i | ||||
\(375\) | 70792.9 | − | 66992.9i | 0.503416 | − | 0.476394i | ||||
\(376\) | −133900. | − | 101129.i | −0.947120 | − | 0.715319i | ||||
\(377\) | −3097.38 | −0.0217928 | ||||||||
\(378\) | −161840. | − | 65694.6i | −1.13266 | − | 0.459776i | ||||
\(379\) | − | 39838.1i | − | 0.277345i | −0.990338 | − | 0.138672i | \(-0.955716\pi\) | ||
0.990338 | − | 0.138672i | \(-0.0442835\pi\) | |||||||
\(380\) | 66277.7 | + | 45906.8i | 0.458987 | + | 0.317914i | ||||
\(381\) | 114311. | + | 120795.i | 0.787477 | + | 0.832146i | ||||
\(382\) | −37498.2 | + | 19641.9i | −0.256971 | + | 0.134603i | ||||
\(383\) | −147816. | + | 85341.8i | −1.00769 | + | 0.581787i | −0.910513 | − | 0.413480i | \(-0.864313\pi\) |
−0.0971722 | + | 0.995268i | \(0.530980\pi\) | |||||||
\(384\) | 7866.84 | − | 147246.i | 0.0533504 | − | 0.998576i | ||||
\(385\) | −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 | 0.250583 | + | 0.968095i | \(0.419378\pi\) |
−0.963687 | + | 0.267036i | \(0.913956\pi\) | |||||||
\(390\) | 174120. | + | 59729.6i | 1.14477 | + | 0.392700i | ||||
\(391\) | 30789.5 | − | 17776.3i | 0.201395 | − | 0.116275i | ||||
\(392\) | 29603.8 | + | 69953.1i | 0.192653 | + | 0.455234i | ||||
\(393\) | 21368.9 | − | 71772.9i | 0.138355 | − | 0.464703i | ||||
\(394\) | 23161.3 | − | 36561.2i | 0.149201 | − | 0.235520i | ||||
\(395\) | 56236.6i | 0.360434i | ||||||||
\(396\) | 289481. | + | 40002.5i | 1.84599 | + | 0.255092i | ||||
\(397\) | 292553. | 1.85620 | 0.928098 | − | 0.372336i | \(-0.121443\pi\) | ||||
0.928098 | + | 0.372336i | \(0.121443\pi\) | |||||||
\(398\) | 2728.19 | + | 1728.30i | 0.0172230 | + | 0.0109107i | ||||
\(399\) | 21178.3 | + | 88758.3i | 0.133029 | + | 0.557524i | ||||
\(400\) | −23510.5 | − | 62602.5i | −0.146941 | − | 0.391266i | ||||
\(401\) | −102157. | − | 176941.i | −0.635300 | − | 1.10037i | −0.986452 | − | 0.164053i | \(-0.947543\pi\) |
0.351152 | − | 0.936318i | \(-0.385790\pi\) | |||||||
\(402\) | 141782. | + | 162721.i | 0.877340 | + | 1.00691i | ||||
\(403\) | 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 | ||||
\(408\) | 45956.7 | − | 33830.3i | 0.276076 | − | 0.203229i | ||||
\(409\) | −17364.4 | − | 30076.0i | −0.103804 | − | 0.179793i | 0.809445 | − | 0.587196i | \(-0.199768\pi\) |
−0.913249 | + | 0.407402i | \(0.866435\pi\) | |||||||
\(410\) | 22824.4 | + | 43573.9i | 0.135779 | + | 0.259214i | ||||
\(411\) | 44714.7 | + | 187400.i | 0.264708 | + | 1.10939i | ||||
\(412\) | −212501. | − | 147187.i | −1.25189 | − | 0.867113i | ||||
\(413\) | 155655. | 0.912564 | ||||||||
\(414\) | −115731. | − | 11171.4i | −0.675225 | − | 0.0651790i | ||||
\(415\) | − | 200458.i | − | 1.16393i | ||||||
\(416\) | −117167. | + | 131180.i | −0.677044 | + | 0.758023i | ||||
\(417\) | −46805.5 | + | 157208.i | −0.269169 | + | 0.904073i | ||||
\(418\) | −70840.1 | − | 135240.i | −0.405440 | − | 0.774023i | ||||
\(419\) | 277682. | − | 160320.i | 1.58169 | − | 0.913187i | 0.587073 | − | 0.809534i | \(-0.300280\pi\) |
0.994614 | − | 0.103653i | \(-0.0330530\pi\) | |||||||
\(420\) | 93222.9 | − | 239254.i | 0.528474 | − | 1.35631i | ||||
\(421\) | −67885.7 | + | 117582.i | −0.383014 | + | 0.663399i | −0.991491 | − | 0.130172i | \(-0.958447\pi\) |
0.608478 | + | 0.793571i | \(0.291780\pi\) | |||||||
\(422\) | 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 | ||||
\(426\) | −43790.3 | + | 8564.45i | −0.241301 | + | 0.0471933i | ||||
\(427\) | 73524.1 | − | 42449.2i | 0.403250 | − | 0.232816i | ||||
\(428\) | 44343.0 | − | 20953.2i | 0.242068 | − | 0.114383i | ||||
\(429\) | −239593. | − | 253183.i | −1.30184 | − | 1.37569i | ||||
\(430\) | −30838.5 | − | 19536.0i | −0.166785 | − | 0.105657i | ||||
\(431\) | 31343.0i | 0.168728i | 0.996435 | + | 0.0843638i | \(0.0268858\pi\) | ||||
−0.996435 | + | 0.0843638i | \(0.973114\pi\) | |||||||
\(432\) | −186604. | + | 2750.26i | −0.999891 | + | 0.0147369i | ||||
\(433\) | 101022. | 0.538815 | 0.269407 | − | 0.963026i | \(-0.413172\pi\) | ||||
0.269407 | + | 0.963026i | \(0.413172\pi\) | |||||||
\(434\) | 99477.7 | − | 157030.i | 0.528137 | − | 0.833687i | ||||
\(435\) | 3509.21 | − | 3320.84i | 0.0185451 | − | 0.0175497i | ||||
\(436\) | 121188. | + | 256470.i | 0.637511 | + | 1.34916i | ||||
\(437\) | 30371.1 | + | 52604.3i | 0.159037 | + | 0.275460i | ||||
\(438\) | 34968.3 | + | 178794.i | 0.182275 | + | 0.931976i | ||||
\(439\) | −157593. | − | 90986.2i | −0.817724 | − | 0.472113i | 0.0319068 | − | 0.999491i | \(-0.489842\pi\) |
−0.849631 | + | 0.527378i | \(0.823175\pi\) | |||||||
\(440\) | −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 | \(-0.363538\pi\) |
−0.579806 | + | 0.814755i | \(0.696872\pi\) | |||||||
\(444\) | 81814.5 | + | 31878.3i | 0.415016 | + | 0.161707i | ||||
\(445\) | −140462. | − | 243287.i | −0.709315 | − | 1.22857i | ||||
\(446\) | 38018.5 | − | 19914.4i | 0.191128 | − | 0.100115i | ||||
\(447\) | −140078. | − | 41705.3i | −0.701061 | − | 0.208726i | ||||
\(448\) | 176116. | + | 170814.i | 0.877493 | + | 0.851074i | ||||
\(449\) | −20385.0 | −0.101115 | −0.0505577 | − | 0.998721i | \(-0.516100\pi\) | ||||
−0.0505577 | + | 0.998721i | \(0.516100\pi\) | |||||||
\(450\) | −77022.4 | + | 35079.0i | −0.380357 | + | 0.173230i | ||||
\(451\) | − | 93146.9i | − | 0.457947i | ||||||
\(452\) | 134770. | − | 194574.i | 0.659656 | − | 0.952375i | ||||
\(453\) | 214710. | − | 51231.1i | 1.04630 | − | 0.249653i | ||||
\(454\) | 268341. | − | 140559.i | 1.30189 | − | 0.681943i | ||||
\(455\) | −265249. | + | 153141.i | −1.28124 | + | 0.739724i | ||||
\(456\) | 57799.5 | + | 78517.7i | 0.277968 | + | 0.377605i | ||||
\(457\) | 139829. | − | 242191.i | 0.669521 | − | 1.15964i | −0.308517 | − | 0.951219i | \(-0.599833\pi\) |
0.978038 | − | 0.208426i | \(-0.0668340\pi\) | |||||||
\(458\) | −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 | −0.612910 | − | 0.790153i | \(-0.710001\pi\) |
0.990747 | + | 0.135719i | \(0.0433344\pi\) | |||||||
\(462\) | −366595. | + | 319420.i | −1.71752 | + | 1.49651i | ||||
\(463\) | 85869.5 | − | 49576.8i | 0.400569 | − | 0.231268i | −0.286161 | − | 0.958182i | \(-0.592379\pi\) |
0.686729 | + | 0.726913i | \(0.259046\pi\) | |||||||
\(464\) | 1623.01 | + | 4321.66i | 0.00753849 | + | 0.0200731i | ||||
\(465\) | −202191. | + | 48244.0i | −0.935095 | + | 0.223120i | ||||
\(466\) | −120913. | + | 190866.i | −0.556802 | + | 0.878936i | ||||
\(467\) | − | 278790.i | − | 1.27833i | −0.769068 | − | 0.639167i | \(-0.779279\pi\) | ||
0.769068 | − | 0.639167i | \(-0.220721\pi\) | |||||||
\(468\) | 175733. | + | 136645.i | 0.802345 | + | 0.623883i | ||||
\(469\) | −359101. | −1.63257 | ||||||||
\(470\) | −263736. | − | 167076.i | −1.19392 | − | 0.756341i | ||||
\(471\) | 342048. | + | 101838.i | 1.54186 | + | 0.459057i | ||||
\(472\) | 153162. | − | 64817.3i | 0.687491 | − | 0.290943i | ||||
\(473\) | 34564.0 | + | 59866.6i | 0.154490 | + | 0.267585i | ||||
\(474\) | −22066.6 | + | 64327.1i | −0.0982150 | + | 0.286311i | ||||
\(475\) | 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 | \(-0.311124\pi\) |
−0.438407 | + | 0.898776i | \(0.644457\pi\) | |||||||
\(480\) | −7899.34 | − | 274241.i | −0.0342853 | − | 1.19028i | ||||
\(481\) | −52367.8 | − | 90703.7i | −0.226347 | − | 0.392044i | ||||
\(482\) | 119064. | + | 227305.i | 0.512492 | + | 0.978396i | ||||
\(483\) | 140512. | − | 132970.i | 0.602310 | − | 0.569979i | ||||
\(484\) | 329828. | − | 476187.i | 1.40798 | − | 2.03276i | ||||
\(485\) | −434509. | −1.84721 | ||||||||
\(486\) | 19546.6 | + | 235386.i | 0.0827559 | + | 0.996570i | ||||
\(487\) | 346823.i | 1.46235i | 0.682192 | + | 0.731173i | \(0.261027\pi\) | ||||
−0.682192 | + | 0.731173i | \(0.738973\pi\) | |||||||
\(488\) | 54670.0 | − | 72385.9i | 0.229567 | − | 0.303959i | ||||
\(489\) | −156660. | − | 165546.i | −0.655150 | − | 0.692313i | ||||
\(490\) | 65577.5 | + | 125194.i | 0.273126 | + | 0.521423i | ||||
\(491\) | −207830. | + | 119991.i | −0.862076 | + | 0.497720i | −0.864707 | − | 0.502277i | \(-0.832496\pi\) |
0.00263098 | + | 0.999997i | \(0.499163\pi\) | |||||||
\(492\) | 9010.17 | + | 58798.7i | 0.0372223 | + | 0.242906i | ||||
\(493\) | −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 | ||||
\(498\) | 78657.2 | − | 229297.i | 0.317161 | − | 0.924568i | ||||
\(499\) | −295354. | + | 170523.i | −1.18616 | + | 0.684828i | −0.957431 | − | 0.288663i | \(-0.906789\pi\) |
−0.228726 | + | 0.973491i | \(0.573456\pi\) | |||||||
\(500\) | 74027.6 | + | 156664.i | 0.296110 | + | 0.626656i | ||||
\(501\) | −71496.2 | + | 240139.i | −0.284844 | + | 0.956724i | ||||
\(502\) | 220417. | + | 139633.i | 0.874655 | + | 0.554090i | ||||
\(503\) | 3886.22i | 0.0153600i | 0.999971 | + | 0.00768001i | \(0.00244465\pi\) | ||||
−0.999971 | + | 0.00768001i | \(0.997555\pi\) | |||||||
\(504\) | 200515. | − | 237094.i | 0.789378 | − | 0.933383i | ||||
\(505\) | 192353. | 0.754250 | ||||||||
\(506\) | −173211. | + | 273422.i | −0.676512 | + | 1.06790i | ||||
\(507\) | −1968.01 | − | 8247.92i | −0.00765616 | − | 0.0320870i | ||||
\(508\) | −267318. | + | 126314.i | −1.03586 | + | 0.489469i | ||||
\(509\) | −98673.1 | − | 170907.i | −0.380858 | − | 0.659666i | 0.610327 | − | 0.792150i | \(-0.291038\pi\) |
−0.991185 | + | 0.132484i | \(0.957705\pi\) | |||||||
\(510\) | 80051.5 | − | 69750.1i | 0.307772 | − | 0.268167i | ||||
\(511\) | −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 | ||||
\(516\) | −27609.4 | − | 34447.2i | −0.103695 | − | 0.129376i | ||||
\(517\) | 295597. | + | 511990.i | 1.10591 | + | 1.91549i | ||||
\(518\) | −129416. | + | 67789.5i | −0.482314 | + | 0.252640i | ||||
\(519\) | 46068.0 | + | 193071.i | 0.171027 | + | 0.716774i | ||||
\(520\) | −197230. | + | 261142.i | −0.729399 | + | 0.965763i | ||||
\(521\) | 229165. | 0.844255 | 0.422127 | − | 0.906536i | \(-0.361283\pi\) | ||||
0.422127 | + | 0.906536i | \(0.361283\pi\) | |||||||
\(522\) | 5317.11 | − | 2421.62i | 0.0195135 | − | 0.00888720i | ||||
\(523\) | 346673.i | 1.26741i | 0.773575 | + | 0.633705i | \(0.218467\pi\) | ||||
−0.773575 | + | 0.633705i | \(0.781533\pi\) | |||||||
\(524\) | 109442. | + | 75804.5i | 0.398587 | + | 0.276078i | ||||
\(525\) | 40182.9 | − | 134965.i | 0.145788 | − | 0.489667i | ||||
\(526\) | 300492. | − | 157401.i | 1.08608 | − | 0.568899i | ||||
\(527\) | 66566.6 | − | 38432.2i | 0.239682 | − | 0.138380i | ||||
\(528\) | −227712. | + | 466960.i | −0.816803 | + | 1.67499i | ||||
\(529\) | −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 | ||||
\(534\) | −65206.7 | − | 333404.i | −0.228670 | − | 1.16920i | ||||
\(535\) | 79025.8 | − | 45625.6i | 0.276097 | − | 0.159405i | ||||
\(536\) | −353349. | + | 149536.i | −1.22991 | + | 0.520493i | ||||
\(537\) | 324853. | + | 343280.i | 1.12652 | + | 1.19042i | ||||
\(538\) | 142747. | − | 225332.i | 0.493176 | − | 0.778500i | ||||
\(539\) | − | 267623.i | − | 0.921184i | ||||||
\(540\) | −345601. | + | 33597.3i | −1.18519 | + | 0.115217i | ||||
\(541\) | −287354. | −0.981799 | −0.490900 | − | 0.871216i | \(-0.663332\pi\) | ||||
−0.490900 | + | 0.871216i | \(0.663332\pi\) | |||||||
\(542\) | 413683. | + | 262066.i | 1.40821 | + | 0.892097i | ||||
\(543\) | 47218.3 | − | 44683.7i | 0.160144 | − | 0.151548i | ||||
\(544\) | 31736.4 | + | 96358.5i | 0.107241 | + | 0.325606i | ||||
\(545\) | 263888. | + | 457067.i | 0.888436 | + | 1.53882i | ||||
\(546\) | −363499. | + | 71092.7i | −1.21932 | + | 0.238473i | ||||
\(547\) | 486589. | + | 280932.i | 1.62625 | + | 0.938917i | 0.985198 | + | 0.171421i | \(0.0548357\pi\) |
0.641054 | + | 0.767496i | \(0.278498\pi\) | |||||||
\(548\) | −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 | ||||
\(552\) | 82890.9 | − | 189352.i | 0.272038 | − | 0.621428i | ||||
\(553\) | −56576.7 | − | 97993.6i | −0.185006 | − | 0.320441i | ||||
\(554\) | −255115. | − | 487038.i | −0.831220 | − | 1.58688i | ||||
\(555\) | 156578. | + | 46617.7i | 0.508328 | + | 0.151344i | ||||
\(556\) | −239718. | − | 166039.i | −0.775446 | − | 0.537107i | ||||
\(557\) | −393303. | −1.26770 | −0.633850 | − | 0.773456i | \(-0.718526\pi\) | ||||
−0.633850 | + | 0.773456i | \(0.718526\pi\) | |||||||
\(558\) | −250209. | − | 24152.5i | −0.803591 | − | 0.0775701i | ||||
\(559\) | 52658.1i | 0.168516i | ||||||||
\(560\) | 352660. | + | 289846.i | 1.12455 | + | 0.924254i | ||||
\(561\) | −195567. | + | 46663.4i | −0.621397 | + | 0.148269i | ||||
\(562\) | −25990.4 | − | 49618.0i | −0.0822886 | − | 0.157097i | ||||
\(563\) | 481867. | − | 278206.i | 1.52023 | − | 0.877707i | 0.520518 | − | 0.853851i | \(-0.325739\pi\) |
0.999715 | − | 0.0238561i | \(-0.00759436\pi\) | |||||||
\(564\) | −236120. | − | 294599.i | −0.742293 | − | 0.926132i | ||||
\(565\) | 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 | −0.971672 | − | 0.236332i | \(-0.924055\pi\) |
0.690506 | + | 0.723327i | \(0.257388\pi\) | |||||||
\(570\) | 119169. | + | 136769.i | 0.366787 | + | 0.420958i | ||||
\(571\) | −190279. | + | 109858.i | −0.583604 | + | 0.336944i | −0.762565 | − | 0.646912i | \(-0.776060\pi\) |
0.178960 | + | 0.983856i | \(0.442727\pi\) | |||||||
\(572\) | 560292. | − | 264752.i | 1.71247 | − | 0.809182i | ||||
\(573\) | −92644.1 | + | 22105.5i | −0.282168 | + | 0.0673272i | ||||
\(574\) | −83609.5 | − | 52966.2i | −0.253765 | − | 0.160759i | ||||
\(575\) | − | 93739.0i | − | 0.283521i | ||||||
\(576\) | 98573.0 | − | 316794.i | 0.297107 | − | 0.954844i | ||||
\(577\) | 9527.81 | 0.0286181 | 0.0143091 | − | 0.999898i | \(-0.495445\pi\) | ||||
0.0143091 | + | 0.999898i | \(0.495445\pi\) | |||||||
\(578\) | 157774. | − | 249053.i | 0.472259 | − | 0.745482i | ||||
\(579\) | −337153. | − | 100380.i | −1.00570 | − | 0.299427i | ||||
\(580\) | 3669.55 | + | 7765.83i | 0.0109083 | + | 0.0230851i | ||||
\(581\) | 201670. | + | 349302.i | 0.597432 | + | 1.03478i | ||||
\(582\) | −497020. | − | 170496.i | −1.46733 | − | 0.503348i | ||||
\(583\) | −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 | \(-0.338106\pi\) |
−0.512929 | + | 0.858431i | \(0.671440\pi\) | |||||||
\(588\) | 25887.4 | + | 168936.i | 0.0748745 | + | 0.488617i | ||||
\(589\) | 65662.1 | + | 113730.i | 0.189271 | + | 0.327827i | ||||
\(590\) | 274111. | − | 143582.i | 0.787449 | − | 0.412473i | ||||
\(591\) | 70730.4 | − | 66933.7i | 0.202503 | − | 0.191633i | ||||
\(592\) | −99115.0 | + | 120595.i | −0.282811 | + | 0.344101i | ||||
\(593\) | 143639. | 0.408473 | 0.204236 | − | 0.978922i | \(-0.434529\pi\) | ||||
0.204236 | + | 0.978922i | \(0.434529\pi\) | |||||||
\(594\) | 609241. | + | 247306.i | 1.72670 | + | 0.700909i | ||||
\(595\) | 176661.i | 0.499008i | ||||||||
\(596\) | 147947. | − | 213597.i | 0.416498 | − | 0.601317i | ||||
\(597\) | 4994.58 | + | 5277.89i | 0.0140136 | + | 0.0148085i | ||||
\(598\) | −218406. | + | 114403.i | −0.610747 | + | 0.319915i | ||||
\(599\) | 305650. | − | 176467.i | 0.851865 | − | 0.491824i | −0.00941494 | − | 0.999956i | \(-0.502997\pi\) |
0.861280 | + | 0.508131i | \(0.169664\pi\) | |||||||
\(600\) | −16662.2 | − | 149536.i | −0.0462839 | − | 0.415377i | ||||
\(601\) | −17733.8 | + | 30715.9i | −0.0490969 | + | 0.0850382i | −0.889529 | − | 0.456878i | \(-0.848968\pi\) |
0.840433 | + | 0.541916i | \(0.182301\pi\) | |||||||
\(602\) | 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 | ||||
\(606\) | 220026. | + | 75476.8i | 0.599139 | + | 0.205527i | ||||
\(607\) | −424309. | + | 244975.i | −1.15161 | + | 0.664881i | −0.949279 | − | 0.314436i | \(-0.898185\pi\) |
−0.202330 | + | 0.979317i | \(0.564851\pi\) | |||||||
\(608\) | −164630. | + | 54222.2i | −0.445350 | + | 0.146680i | ||||
\(609\) | −2773.96 | + | 9317.05i | −0.00747937 | + | 0.0251214i | ||||
\(610\) | 90320.5 | − | 142575.i | 0.242732 | − | 0.383163i | ||||
\(611\) | 450342.i | 1.20631i | ||||||||
\(612\) | 118937. | − | 48373.5i | 0.317552 | − | 0.129153i | ||||
\(613\) | 284390. | 0.756821 | 0.378410 | − | 0.925638i | \(-0.376471\pi\) | ||||
0.378410 | + | 0.925638i | \(0.376471\pi\) | |||||||
\(614\) | −389730. | − | 246892.i | −1.03378 | − | 0.654893i | ||||
\(615\) | 25687.2 | + | 107655.i | 0.0679151 | + | 0.284632i | ||||
\(616\) | −336889. | − | 796061.i | −0.887821 | − | 2.09790i | ||||
\(617\) | −98237.4 | − | 170152.i | −0.258052 | − | 0.446958i | 0.707668 | − | 0.706545i | \(-0.249747\pi\) |
−0.965720 | + | 0.259586i | \(0.916414\pi\) | |||||||
\(618\) | −382083. | − | 438512.i | −1.00042 | − | 1.14817i | ||||
\(619\) | 58731.2 | + | 33908.5i | 0.153281 | + | 0.0884967i | 0.574679 | − | 0.818379i | \(-0.305127\pi\) |
−0.421398 | + | 0.906876i | \(0.638460\pi\) | |||||||
\(620\) | 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 | ||||
\(624\) | −328073. | + | 221321.i | −0.842561 | + | 0.568400i | ||||
\(625\) | 242826. | + | 420586.i | 0.621634 | + | 1.07670i | ||||
\(626\) | 137591. | + | 262674.i | 0.351109 | + | 0.670300i | ||||
\(627\) | −79725.2 | − | 334129.i | −0.202797 | − | 0.849921i | ||||
\(628\) | −361262. | + | 521571.i | −0.916016 | + | 1.32249i | ||||
\(629\) | −60410.6 | −0.152691 | ||||||||
\(630\) | 335608. | − | 470268.i | 0.845573 | − | 1.18485i | ||||
\(631\) | − | 716972.i | − | 1.80071i | −0.435158 | − | 0.900354i | \(-0.643308\pi\) | ||
0.435158 | − | 0.900354i | \(-0.356692\pi\) | |||||||
\(632\) | −96476.7 | − | 72864.7i | −0.241539 | − | 0.182424i | ||||
\(633\) | 156231. | − | 524743.i | 0.389907 | − | 1.30960i | ||||
\(634\) | 3924.74 | + | 7492.69i | 0.00976409 | + | 0.0186406i | ||||
\(635\) | −476401. | + | 275050.i | −1.18148 | + | 0.682125i | ||||
\(636\) | 272952. | + | 106353.i | 0.674794 | + | 0.262927i | ||||
\(637\) | 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 | 0.148248 | + | 0.988950i | \(0.452637\pi\) |
−0.930580 | + | 0.366089i | \(0.880697\pi\) | |||||||
\(642\) | 108298. | − | 21180.7i | 0.262754 | − | 0.0513891i | ||||
\(643\) | −1326.59 | + | 765.910i | −0.00320861 | + | 0.00185249i | −0.501603 | − | 0.865098i | \(-0.667256\pi\) |
0.498395 | + | 0.866950i | \(0.333923\pi\) | |||||||
\(644\) | 146933. | + | 310952.i | 0.354280 | + | 0.749759i | ||||
\(645\) | −56457.0 | − | 59659.4i | −0.135706 | − | 0.143403i | ||||
\(646\) | −56665.3 | − | 35897.2i | −0.135785 | − | 0.0860192i | ||||
\(647\) | 106720.i | 0.254938i | 0.991843 | + | 0.127469i | \(0.0406854\pi\) | ||||
−0.991843 | + | 0.127469i | \(0.959315\pi\) | |||||||
\(648\) | −408504. | − | 97178.8i | −0.972851 | − | 0.231431i | ||||
\(649\) | −585960. | −1.39116 | ||||||||
\(650\) | −96044.3 | + | 151610.i | −0.227324 | + | 0.358841i | ||||
\(651\) | 303786. | − | 287480.i | 0.716814 | − | 0.678336i | ||||
\(652\) | 366353. | − | 173111.i | 0.861795 | − | 0.407219i | ||||
\(653\) | −114833. | − | 198896.i | −0.269301 | − | 0.466444i | 0.699380 | − | 0.714750i | \(-0.253459\pi\) |
−0.968682 | + | 0.248306i | \(0.920126\pi\) | |||||||
\(654\) | 122505. | + | 626369.i | 0.286416 | + | 1.46445i | ||||
\(655\) | 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 | \(-0.185032\pi\) |
−0.0576633 | + | 0.998336i | \(0.518365\pi\) | |||||||
\(660\) | −350935. | + | 900664.i | −0.805637 | + | 2.06764i | ||||
\(661\) | −223443. | − | 387014.i | −0.511403 | − | 0.885776i | −0.999913 | − | 0.0132177i | \(-0.995793\pi\) |
0.488509 | − | 0.872559i | \(-0.337541\pi\) | |||||||
\(662\) | 50464.2 | − | 26433.6i | 0.115151 | − | 0.0603171i | ||||
\(663\) | −146787. | − | 43702.7i | −0.333934 | − | 0.0994217i | ||||
\(664\) | 343895. | + | 259729.i | 0.779991 | + | 0.589094i | ||||
\(665\) | −301829. | −0.682523 | ||||||||
\(666\) | 160812. | + | 114764.i | 0.362551 | + | 0.258735i | ||||
\(667\) | 6471.12i | 0.0145455i | ||||||||
\(668\) | −366174. | − | 253628.i | −0.820605 | − | 0.568386i | ||||
\(669\) | 93929.6 | − | 22412.2i | 0.209870 | − | 0.0500763i | ||||
\(670\) | −632383. | + | 331248.i | −1.40874 | + | 0.737909i | ||||
\(671\) | −276780. | + | 159799.i | −0.614737 | + | 0.354919i | ||||
\(672\) | 289664. | + | 469924.i | 0.641440 | + | 1.04061i | ||||
\(673\) | −169746. | + | 294009.i | −0.374774 | + | 0.649128i | −0.990293 | − | 0.138994i | \(-0.955613\pi\) |
0.615519 | + | 0.788122i | \(0.288946\pi\) | |||||||
\(674\) | 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 | 0.413354 | + | 0.910570i | \(0.364357\pi\) |
−0.995254 | + | 0.0973098i | \(0.968976\pi\) | |||||||
\(678\) | 401519. | − | 349850.i | 0.873467 | − | 0.761065i | ||||
\(679\) | 757142. | − | 437136.i | 1.64224 | − | 0.948150i | ||||
\(680\) | 73564.7 | + | 173832.i | 0.159093 | + | 0.375934i | ||||
\(681\) | 662971. | − | 158189.i | 1.42955 | − | 0.341100i | ||||
\(682\) | −374482. | + | 591136.i | −0.805122 | + | 1.27092i | ||||
\(683\) | − | 175866.i | − | 0.376999i | −0.982073 | − | 0.188500i | \(-0.939638\pi\) | ||
0.982073 | − | 0.188500i | \(-0.0603624\pi\) | |||||||
\(684\) | 82646.9 | + | 203206.i | 0.176650 | + | 0.434335i | ||||
\(685\) | −637265. | −1.35812 | ||||||||
\(686\) | 245741. | + | 155676.i | 0.522191 | + | 0.330805i | ||||
\(687\) | −460330. | − | 137054.i | −0.975339 | − | 0.290387i | ||||
\(688\) | 73471.8 | − | 27592.5i | 0.155219 | − | 0.0582927i | ||||
\(689\) | −174711. | − | 302608.i | −0.368028 | − | 0.637444i | ||||
\(690\) | 124788. | − | 363776.i | 0.262105 | − | 0.764074i | ||||
\(691\) | −203114. | − | 117268.i | −0.425386 | − | 0.245597i | 0.271993 | − | 0.962299i | \(-0.412317\pi\) |
−0.697379 | + | 0.716702i | \(0.745651\pi\) | |||||||
\(692\) | −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 | ||||
\(696\) | 1150.25 | + | 10322.9i | 0.00237451 | + | 0.0213101i | ||||
\(697\) | −20463.0 | − | 35442.9i | −0.0421214 | − | 0.0729565i | ||||
\(698\) | 43302.7 | + | 82668.8i | 0.0888799 | + | 0.169680i | ||||
\(699\) | −369245. | + | 349425.i | −0.755720 | + | 0.715154i | ||||
\(700\) | 205800. | + | 142546.i | 0.420000 | + | 0.290910i | ||||
\(701\) | 192485. | 0.391707 | 0.195853 | − | 0.980633i | \(-0.437252\pi\) | ||||
0.195853 | + | 0.980633i | \(0.437252\pi\) | |||||||
\(702\) | 307720. | + | 395190.i | 0.624427 | + | 0.801922i | ||||
\(703\) | − | 103213.i | − | 0.208844i | ||||||
\(704\) | −662986. | − | 643025.i | −1.33770 | − | 1.29743i | ||||
\(705\) | −482830. | − | 510218.i | −0.971441 | − | 1.02654i | ||||
\(706\) | −35959.4 | − | 68649.9i | −0.0721445 | − | 0.137731i | ||||
\(707\) | −335179. | + | 193516.i | −0.670561 | + | 0.387148i | ||||
\(708\) | 369886. | − | 56680.4i | 0.737906 | − | 0.113075i | ||||
\(709\) | 300439. | − | 520376.i | 0.597674 | − | 1.03520i | −0.395489 | − | 0.918471i | \(-0.629425\pi\) |
0.993164 | − | 0.116731i | \(-0.0372417\pi\) | |||||||
\(710\) | 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 | ||||
\(714\) | −69319.7 | + | 202077.i | −0.135975 | + | 0.396387i | ||||
\(715\) | 998522. | − | 576497.i | 1.95320 | − | 1.12768i | ||||
\(716\) | −759675. | + | 358965.i | −1.48184 | + | 0.700206i | ||||
\(717\) | 123249. | − | 413965.i | 0.239743 | − | 0.805240i | ||||
\(718\) | −472818. | − | 299528.i | −0.917160 | − | 0.581016i | ||||
\(719\) | 37302.4i | 0.0721571i | 0.999349 | + | 0.0360786i | \(0.0114867\pi\) | ||||
−0.999349 | + | 0.0360786i | \(0.988513\pi\) | |||||||
\(720\) | 134405. | − | 602489.i | 0.259269 | − | 1.16221i | ||||
\(721\) | 967729. | 1.86159 | ||||||||
\(722\) | −217634. | + | 343545.i | −0.417496 | + | 0.659036i | ||||
\(723\) | 133998. | + | 561586.i | 0.256343 | + | 1.07433i | ||||
\(724\) | 49375.8 | + | 104494.i | 0.0941970 | + | 0.199348i | ||||
\(725\) | 2355.23 | + | 4079.37i | 0.00448081 | + | 0.00776099i | ||||
\(726\) | 982649. | − | 856198.i | 1.86434 | − | 1.62443i | ||||
\(727\) | 647844. | + | 374033.i | 1.22575 | + | 0.707686i | 0.966138 | − | 0.258027i | \(-0.0830723\pi\) |
0.259611 | + | 0.965713i | \(0.416406\pi\) | |||||||
\(728\) | 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 | ||||
\(732\) | 159259. | − | 127646.i | 0.297223 | − | 0.238223i | ||||
\(733\) | 131709. | + | 228126.i | 0.245136 | + | 0.424588i | 0.962170 | − | 0.272450i | \(-0.0878341\pi\) |
−0.717034 | + | 0.697038i | \(0.754501\pi\) | |||||||
\(734\) | −324473. | + | 169962.i | −0.602263 | + | 0.315471i | ||||
\(735\) | 73802.7 | + | 309307.i | 0.136615 | + | 0.572552i | ||||
\(736\) | 274065. | + | 244787.i | 0.505938 | + | 0.451889i | ||||
\(737\) | 1.35183e6 | 2.48878 | ||||||||
\(738\) | −12859.8 | + | 133222.i | −0.0236115 | + | 0.244604i | ||||
\(739\) | − | 288908.i | − | 0.529018i | −0.964383 | − | 0.264509i | \(-0.914790\pi\) | ||
0.964383 | − | 0.264509i | \(-0.0852099\pi\) | |||||||
\(740\) | −165373. | + | 238757.i | −0.301996 | + | 0.436006i | ||||
\(741\) | 74666.8 | − | 250788.i | 0.135985 | − | 0.456741i | ||||
\(742\) | −431762. | + | 226161.i | −0.784218 | + | 0.410780i | ||||
\(743\) | 271416. | − | 156702.i | 0.491651 | − | 0.283855i | −0.233608 | − | 0.972331i | \(-0.575053\pi\) |
0.725259 | + | 0.688476i | \(0.241720\pi\) | |||||||
\(744\) | 179210. | − | 409377.i | 0.323754 | − | 0.739567i | ||||
\(745\) | 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 | ||||
\(750\) | 74831.6 | + | 382616.i | 0.133034 | + | 0.680207i | ||||
\(751\) | −204539. | + | 118091.i | −0.362658 | + | 0.209381i | −0.670246 | − | 0.742139i | \(-0.733811\pi\) |
0.307588 | + | 0.951520i | \(0.400478\pi\) | |||||||
\(752\) | 628344. | − | 235976.i | 1.11112 | − | 0.417284i | ||||
\(753\) | 403524. | + | 426413.i | 0.711671 | + | 0.752039i | ||||
\(754\) | 6630.26 | − | 10466.2i | 0.0116624 | − | 0.0184096i | ||||
\(755\) | 730134.i | 1.28088i | ||||||||
\(756\) | 568417. | − | 406235.i | 0.994543 | − | 0.710777i | ||||
\(757\) | −1.00219e6 | −1.74888 | −0.874438 | − | 0.485137i | \(-0.838770\pi\) | ||||
−0.874438 | + | 0.485137i | \(0.838770\pi\) | |||||||
\(758\) | 134614. | + | 85277.4i | 0.234289 | + | 0.148421i | ||||
\(759\) | −528955. | + | 500562.i | −0.918196 | + | 0.868909i | ||||
\(760\) | −296994. | + | 125686.i | −0.514187 | + | 0.217601i | ||||
\(761\) | −456412. | − | 790529.i | −0.788112 | − | 1.36505i | −0.927122 | − | 0.374759i | \(-0.877725\pi\) |
0.139010 | − | 0.990291i | \(-0.455608\pi\) | |||||||
\(762\) | −652864. | + | 127686.i | −1.12438 | + | 0.219905i | ||||
\(763\) | −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 | ||||
\(768\) | 480709. | + | 341777.i | 0.815004 | + | 0.579456i | ||||
\(769\) | 104325. | + | 180697.i | 0.176416 | + | 0.305561i | 0.940650 | − | 0.339378i | \(-0.110216\pi\) |
−0.764235 | + | 0.644938i | \(0.776883\pi\) | |||||||
\(770\) | −746268. | − | 1.42470e6i | −1.25867 | − | 2.40293i | ||||
\(771\) | −373634. | − | 111242.i | −0.628547 | − | 0.187137i | ||||
\(772\) | 356091. | − | 514105.i | 0.597484 | − | 0.862616i | ||||
\(773\) | −661279. | −1.10669 | −0.553345 | − | 0.832952i | \(-0.686649\pi\) | ||||
−0.553345 | + | 0.832952i | \(0.686649\pi\) | |||||||
\(774\) | −41169.6 | − | 90395.4i | −0.0687218 | − | 0.150891i | ||||
\(775\) | − | 202663.i | − | 0.337420i | ||||||
\(776\) | 562984. | − | 745421.i | 0.934917 | − | 1.23788i | ||||
\(777\) | −319740. | + | 76292.0i | −0.529608 | + | 0.126368i | ||||
\(778\) | −400558. | − | 764703.i | −0.661769 | − | 1.26338i | ||||
\(779\) | 60554.8 | − | 34961.3i | 0.0997869 | − | 0.0576120i | ||||
\(780\) | −574550. | + | 460500.i | −0.944362 | + | 0.756904i | ||||
\(781\) | −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 | ||||
\(786\) | 196780. | + | 225843.i | 0.318520 | + | 0.365562i | ||||
\(787\) | 33656.2 | − | 19431.4i | 0.0543395 | − | 0.0313729i | −0.472584 | − | 0.881286i | \(-0.656679\pi\) |
0.526924 | + | 0.849913i | \(0.323345\pi\) | |||||||
\(788\) | 73962.2 | + | 156526.i | 0.119113 | + | 0.252077i | ||||
\(789\) | 742405. | − | 177143.i | 1.19258 | − | 0.284557i | ||||
\(790\) | −190025. | − | 120380.i | −0.304479 | − | 0.192886i | ||||
\(791\) | 886090.i | 1.41620i | ||||||||
\(792\) | −754832. | + | 892536.i | −1.20337 | + | 1.42290i | ||||
\(793\) | −243453. | −0.387141 | ||||||||
\(794\) | −626239. | + | 988546.i | −0.993343 | + | 1.56804i | ||||
\(795\) | 522379. | + | 155527.i | 0.826516 | + | 0.246078i | ||||
\(796\) | −11679.9 | + | 5519.05i | −0.0184338 | + | 0.00871040i | ||||
\(797\) | 321301. | + | 556510.i | 0.505820 | + | 0.876105i | 0.999977 | + | 0.00673297i | \(0.00214319\pi\) |
−0.494158 | + | 0.869372i | \(0.664523\pi\) | |||||||
\(798\) | −345251. | − | 118434.i | −0.542162 | − | 0.185982i | ||||
\(799\) | 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 | ||||
\(804\) | −853338. | + | 130763.i | −1.32011 | + | 0.202290i | ||||
\(805\) | 319946. | + | 554163.i | 0.493725 | + | 0.855156i | ||||
\(806\) | −472191. | + | 247338.i | −0.726855 | + | 0.380733i | ||||
\(807\) | 435923. | − | 412523.i | 0.669364 | − | 0.633433i | ||||
\(808\) | −249228. | + | 329990.i | −0.381745 | + | 0.505450i | ||||
\(809\) | 737297. | 1.12654 | 0.563269 | − | 0.826274i | \(-0.309544\pi\) | ||||
0.563269 | + | 0.826274i | \(0.309544\pi\) | |||||||
\(810\) | −772334. | − | 117814.i | −1.17716 | − | 0.179568i | ||||
\(811\) | − | 823394.i | − | 1.25189i | −0.779867 | − | 0.625945i | \(-0.784714\pi\) | ||
0.779867 | − | 0.625945i | \(-0.215286\pi\) | |||||||
\(812\) | −14207.1 | − | 9840.41i | −0.0215473 | − | 0.0149245i | ||||
\(813\) | 757341. | + | 800301.i | 1.14580 | + | 1.21080i | ||||
\(814\) | 487185. | − | 255192.i | 0.735267 | − | 0.385139i | ||||
\(815\) | 652894. | − | 376949.i | 0.982941 | − | 0.567501i | ||||
\(816\) | 15938.6 | + | 227706.i | 0.0239370 | + | 0.341975i | ||||
\(817\) | −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 | −0.566486 | − | 0.824071i | \(-0.691697\pi\) |
0.996910 | + | 0.0785556i | \(0.0250308\pi\) | |||||||
\(822\) | −728945. | − | 250055.i | −1.07883 | − | 0.370077i | ||||
\(823\) | −400074. | + | 230983.i | −0.590664 | + | 0.341020i | −0.765360 | − | 0.643602i | \(-0.777439\pi\) |
0.174696 | + | 0.984622i | \(0.444106\pi\) | |||||||
\(824\) | 952230. | − | 402978.i | 1.40245 | − | 0.593509i | ||||
\(825\) | −151267. | + | 508071.i | −0.222248 | + | 0.746477i | ||||
\(826\) | −333195. | + | 525963.i | −0.488358 | + | 0.770895i | ||||
\(827\) | − | 1.11437e6i | − | 1.62936i | −0.579912 | − | 0.814679i | \(-0.696913\pi\) | ||
0.579912 | − | 0.814679i | \(-0.303087\pi\) | |||||||
\(828\) | 285482. | − | 367145.i | 0.416407 | − | 0.535521i | ||||
\(829\) | 915553. | 1.33222 | 0.666108 | − | 0.745856i | \(-0.267959\pi\) | ||||
0.666108 | + | 0.745856i | \(0.267959\pi\) | |||||||
\(830\) | 677353. | + | 429100.i | 0.983238 | + | 0.622876i | ||||
\(831\) | −287113. | − | 1.20329e6i | −0.415767 | − | 1.74248i | ||||
\(832\) | −192456. | − | 676714.i | −0.278026 | − | 0.977594i | ||||
\(833\) | −58792.8 | − | 101832.i | −0.0847294 | − | 0.146756i | ||||
\(834\) | −431020. | − | 494677.i | −0.619677 | − | 0.711196i | ||||
\(835\) | −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 | \(-0.201784\pi\) |
−0.110101 | + | 0.993920i | \(0.535118\pi\) | |||||||
\(840\) | 608892. | + | 827149.i | 0.862942 | + | 1.17226i | ||||
\(841\) | 353478. | + | 612242.i | 0.499770 | + | 0.865627i | ||||
\(842\) | −251995. | − | 481083.i | −0.355442 | − | 0.678572i | ||||
\(843\) | −29250.2 | − | 122588.i | −0.0411599 | − | 0.172501i | ||||
\(844\) | 800152. | + | 554219.i | 1.12328 | + | 0.778030i | ||||
\(845\) | 28047.6 | 0.0392810 | ||||||||
\(846\) | −352089. | − | 773077.i | −0.491940 | − | 1.08015i | ||||
\(847\) | 2.16856e6i | 3.02276i | ||||||||
\(848\) | −330670. | + | 402331.i | −0.459836 | + | 0.559490i | ||||
\(849\) | −295460. | + | 992379.i | −0.409905 | + | 1.37677i | ||||
\(850\) | 48032.9 | + | 91699.4i | 0.0664816 | + | 0.126920i | ||||
\(851\) | −189500. | + | 109408.i | −0.261668 | + | 0.151074i | ||||
\(852\) | 64797.9 | − | 166302.i | 0.0892651 | − | 0.229096i | ||||
\(853\) | −100990. | + | 174919.i | −0.138796 | + | 0.240402i | −0.927041 | − | 0.374959i | \(-0.877657\pi\) |
0.788245 | + | 0.615362i | \(0.210990\pi\) | |||||||
\(854\) | −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 | −0.641712 | − | 0.766946i | \(-0.721776\pi\) |
0.985050 | + | 0.172266i | \(0.0551090\pi\) | |||||||
\(858\) | 1.36838e6 | − | 267627.i | 1.85880 | − | 0.363543i | ||||
\(859\) | −662245. | + | 382348.i | −0.897496 | + | 0.518170i | −0.876387 | − | 0.481608i | \(-0.840053\pi\) |
−0.0211092 | + | 0.999777i | \(0.506720\pi\) | |||||||
\(860\) | 132026. | − | 62385.4i | 0.178510 | − | 0.0843501i | ||||
\(861\) | −153066. | − | 161749.i | −0.206478 | − | 0.218190i | ||||
\(862\) | −105909. | − | 67092.8i | −0.142534 | − | 0.0902946i | ||||
\(863\) | − | 1.21817e6i | − | 1.63564i | −0.575477 | − | 0.817818i | \(-0.695183\pi\) | ||
0.575477 | − | 0.817818i | \(-0.304817\pi\) | |||||||
\(864\) | 390150. | − | 636427.i | 0.522642 | − | 0.852552i | ||||
\(865\) | −656551. | −0.877477 | ||||||||
\(866\) | −216247. | + | 341356.i | −0.288346 | + | 0.455168i | ||||
\(867\) | 481813. | − | 455950.i | 0.640974 | − | 0.606567i | ||||
\(868\) | 317667. | + | 672276.i | 0.421631 | + | 0.892295i | ||||
\(869\) | 212982. | + | 368895.i | 0.282035 | + | 0.488498i | ||||
\(870\) | 3709.40 | + | 18966.3i | 0.00490078 | + | 0.0250578i | ||||
\(871\) | 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 | ||||
\(876\) | −679003. | − | 264567.i | −0.884838 | − | 0.344769i | ||||
\(877\) | −225455. | − | 390499.i | −0.293130 | − | 0.507716i | 0.681418 | − | 0.731894i | \(-0.261364\pi\) |
−0.974548 | + | 0.224178i | \(0.928030\pi\) | |||||||
\(878\) | 644787. | − | 337745.i | 0.836426 | − | 0.438127i | ||||
\(879\) | 245996. | + | 73240.1i | 0.318383 | + | 0.0947918i | ||||
\(880\) | −1.32758e6 | − | 1.09112e6i | −1.71434 | − | 1.40899i | ||||
\(881\) | −1.04312e6 | −1.34395 | −0.671974 | − | 0.740575i | \(-0.734553\pi\) | ||||
−0.671974 | + | 0.740575i | \(0.734553\pi\) | |||||||
\(882\) | −36948.0 | + | 382765.i | −0.0474957 | + | 0.492034i | ||||
\(883\) | 303710.i | 0.389527i | 0.980850 | + | 0.194763i | \(0.0623939\pi\) | ||||
−0.980850 | + | 0.194763i | \(0.937606\pi\) | |||||||
\(884\) | 155032. | − | 223827.i | 0.198389 | − | 0.286423i | ||||
\(885\) | 677227. | − | 161591.i | 0.864664 | − | 0.206314i | ||||
\(886\) | 131772. | − | 69023.4i | 0.167863 | − | 0.0879283i | ||||
\(887\) | −587624. | + | 339265.i | −0.746882 | + | 0.431213i | −0.824566 | − | 0.565765i | \(-0.808581\pi\) |
0.0776839 | + | 0.996978i | \(0.475248\pi\) | |||||||
\(888\) | −282850. | + | 208215.i | −0.358699 | + | 0.264050i | ||||
\(889\) | 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 | ||||
\(894\) | 440775. | − | 384054.i | 0.551495 | − | 0.480526i | ||||
\(895\) | −1.35385e6 | + | 781647.i | −1.69015 | + | 0.975808i | ||||
\(896\) | −954180. | + | 229458.i | −1.18854 | + | 0.285817i | ||||
\(897\) | −539599. | + | 128752.i | −0.670636 | + | 0.160018i | ||||
\(898\) | 43636.0 | − | 68881.4i | 0.0541119 | − | 0.0854179i | ||||
\(899\) | 13990.5i | 0.0173107i | ||||||||
\(900\) | 46341.1 | − | 335351.i | 0.0572112 | − | 0.414013i | ||||
\(901\) | −201543. | −0.248267 | ||||||||
\(902\) | 314746. | + | 199390.i | 0.386854 | + | 0.245070i | ||||
\(903\) | 158398. | + | 47159.6i | 0.194256 | + | 0.0578355i | ||||
\(904\) | 368983. | + | 871898.i | 0.451512 | + | 1.06691i | ||||
\(905\) | 107516. | + | 186223.i | 0.131273 | + | 0.227372i | ||||
\(906\) | −286496. | + | 835175.i | −0.349029 | + | 1.01747i | ||||
\(907\) | 1.02766e6 | + | 593322.i | 1.24921 | + | 0.721233i | 0.970952 | − | 0.239273i | \(-0.0769090\pi\) |
0.278260 | + | 0.960506i | \(0.410242\pi\) | |||||||
\(908\) | −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 | \(-0.509112\pi\) |
−0.879982 | + | 0.475007i | \(0.842446\pi\) | |||||||
\(912\) | −389039. | + | 27231.4i | −0.467739 | + | 0.0327401i | ||||
\(913\) | −759181. | − | 1.31494e6i | −0.910760 | − | 1.57748i | ||||
\(914\) | 519052. | + | 990919.i | 0.621324 | + | 1.18617i | ||||
\(915\) | 275822. | − | 261016.i | 0.329448 | − | 0.311764i | ||||
\(916\) | 486188. | − | 701931.i | 0.579446 | − | 0.836573i | ||||
\(917\) | −498400. | −0.592706 | ||||||||
\(918\) | 286149. | − | 39739.9i | 0.339553 | − | 0.0471565i | ||||
\(919\) | − | 60879.9i | − | 0.0720847i | −0.999350 | − | 0.0360423i | \(-0.988525\pi\) | ||
0.999350 | − | 0.0360423i | \(-0.0114751\pi\) | |||||||
\(920\) | 545584. | + | 412056.i | 0.644594 | + | 0.486834i | ||||
\(921\) | −713491. | − | 753963.i | −0.841142 | − | 0.888854i | ||||
\(922\) | 298072. | + | 569047.i | 0.350638 | + | 0.669401i | ||||
\(923\) | −184370. | + | 106446.i | −0.216415 | + | 0.124947i | ||||
\(924\) | −294597. | − | 1.92249e6i | −0.345052 | − | 2.25174i | ||||
\(925\) | −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 | −0.453548 | − | 0.891232i | \(-0.649842\pi\) |
0.998603 | − | 0.0528314i | \(-0.0168246\pi\) | |||||||
\(930\) | 269791. | − | 786480.i | 0.311934 | − | 0.909330i | ||||
\(931\) | 173982. | − | 100448.i | 0.200726 | − | 0.115889i | ||||
\(932\) | −386117. | − | 817136.i | −0.444516 | − | 0.940725i | ||||
\(933\) | 253743. | − | 852263.i | 0.291495 | − | 0.979062i | ||||
\(934\) | 942041. | + | 596778.i | 1.07988 | + | 0.684100i | ||||
\(935\) | − | 665037.i | − | 0.760717i | ||||||
\(936\) | −837902. | + | 301304.i | −0.956404 | + | 0.343917i | ||||
\(937\) | −634530. | −0.722725 | −0.361362 | − | 0.932425i | \(-0.617688\pi\) | ||||
−0.361362 | + | 0.932425i | \(0.617688\pi\) | |||||||
\(938\) | 768691. | − | 1.21341e6i | 0.873667 | − | 1.37912i | ||||
\(939\) | 154849. | + | 648971.i | 0.175621 | + | 0.736028i | ||||
\(940\) | 1.12911e6 | − | 533531.i | 1.27785 | − | 0.603815i | ||||
\(941\) | −34049.0 | − | 58974.5i | −0.0384525 | − | 0.0666017i | 0.846159 | − | 0.532931i | \(-0.178909\pi\) |
−0.884611 | + | 0.466329i | \(0.845576\pi\) | |||||||
\(942\) | −1.07630e6 | + | 937798.i | −1.21292 | + | 1.05684i | ||||
\(943\) | −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 | \(-0.429322\pi\) |
−0.734654 | + | 0.678442i | \(0.762656\pi\) | |||||||
\(948\) | −170128. | − | 212262.i | −0.189303 | − | 0.236187i | ||||
\(949\) | 434616. | + | 752777.i | 0.482585 | + | 0.835861i | ||||
\(950\) | −156670. | + | 82065.0i | −0.173595 | + | 0.0909308i | ||||
\(951\) | 4417.00 | + | 18511.7i | 0.00488390 | + | 0.0204684i | ||||
\(952\) | −303071. | − | 228896.i | −0.334403 | − | 0.252560i | ||||
\(953\) | 72542.5 | 0.0798742 | 0.0399371 | − | 0.999202i | \(-0.487284\pi\) | ||||
0.0399371 | + | 0.999202i | \(0.487284\pi\) | |||||||
\(954\) | 536504. | + | 382877.i | 0.589489 | + | 0.420690i | ||||
\(955\) | − | 315042.i | − | 0.345432i | ||||||
\(956\) | 631232. | + | 437218.i | 0.690674 | + | 0.478390i | ||||
\(957\) | 10442.5 | − | 35073.8i | 0.0114020 | − | 0.0382965i | ||||
\(958\) | −113357. | + | 59377.1i | −0.123514 | + | 0.0646976i | ||||
\(959\) | 1.11045e6 | − | 641118.i | 1.20743 | − | 0.697109i | ||||
\(960\) | 943578. | + | 560348.i | 1.02385 | + | 0.608016i | ||||
\(961\) | −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 | ||||
\(966\) | 148528. | + | 759430.i | 0.159168 | + | 0.813830i | ||||
\(967\) | 705768. | − | 407475.i | 0.754760 | − | 0.435761i | −0.0726511 | − | 0.997357i | \(-0.523146\pi\) |
0.827411 | + | 0.561596i | \(0.189813\pi\) | |||||||
\(968\) | 903022. | + | 2.13382e6i | 0.963713 | + | 2.27723i | ||||
\(969\) | −103739. | − | 109623.i | −0.110483 | − | 0.116750i | ||||
\(970\) | 930109. | − | 1.46822e6i | 0.988532 | − | 1.56044i | ||||
\(971\) | 939538.i | 0.996496i | 0.867034 | + | 0.498248i | \(0.166023\pi\) | ||||
−0.867034 | + | 0.498248i | \(0.833977\pi\) | |||||||
\(972\) | −837217. | − | 437818.i | −0.886146 | − | 0.463405i | ||||
\(973\) | 1.09168e6 | 1.15310 | ||||||||
\(974\) | −1.17193e6 | − | 742409.i | −1.23533 | − | 0.782574i | ||||
\(975\) | −293301. | + | 277557.i | −0.308535 | + | 0.291974i | ||||
\(976\) | 127568. | + | 339681.i | 0.133919 | + | 0.356592i | ||||
\(977\) | −870579. | − | 1.50789e6i | −0.912051 | − | 1.57972i | −0.811162 | − | 0.584821i | \(-0.801165\pi\) |
−0.100889 | − | 0.994898i | \(-0.532169\pi\) | |||||||
\(978\) | 894733. | − | 174991.i | 0.935440 | − | 0.182952i | ||||
\(979\) | −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 | \(-0.555925\pi\) |
−0.940089 | + | 0.340929i | \(0.889259\pi\) | |||||||
\(984\) | −217970. | − | 95418.8i | −0.225116 | − | 0.0985471i | ||||
\(985\) | 161053. | + | 278952.i | 0.165995 | + | 0.287513i | ||||
\(986\) | −3315.87 | − | 6330.31i | −0.00341071 | − | 0.00651136i | ||||
\(987\) | 1.35465e6 | + | 403317.i | 1.39057 | + | 0.414012i | ||||
\(988\) | 382412. | + | 264875.i | 0.391758 | + | 0.271348i | ||||
\(989\) | 110014. | 0.112475 | ||||||||
\(990\) | −1.26339e6 | + | 1.77031e6i | −1.28904 | + | 1.80626i | ||||
\(991\) | 766088.i | 0.780066i | 0.920801 | + | 0.390033i | \(0.127536\pi\) | ||||
−0.920801 | + | 0.390033i | \(0.872464\pi\) | |||||||
\(992\) | 592526. | + | 529227.i | 0.602121 | + | 0.537797i | ||||
\(993\) | 124678. | − | 29749.1i | 0.126442 | − | 0.0301700i | ||||
\(994\) | 137793. | + | 263060.i | 0.139462 | + | 0.266246i | ||||
\(995\) | −20815.3 | + | 12017.7i | −0.0210251 | + | 0.0121388i | ||||
\(996\) | 606427. | + | 756617.i | 0.611307 | + | 0.762706i | ||||
\(997\) | −192679. | + | 333731.i | −0.193841 | + | 0.335742i | −0.946520 | − | 0.322645i | \(-0.895428\pi\) |
0.752679 | + | 0.658388i | \(0.228761\pi\) | |||||||
\(998\) | 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.7.8 | ✓ | 44 | |
3.2 | odd | 2 | 108.5.f.a.19.15 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.7.9 | yes | 44 | |
9.2 | odd | 6 | 324.5.d.e.163.1 | 22 | |||
9.4 | even | 3 | inner | 36.5.f.a.31.9 | yes | 44 | |
9.5 | odd | 6 | 108.5.f.a.91.14 | 44 | |||
9.7 | even | 3 | 324.5.d.f.163.22 | 22 | |||
12.11 | even | 2 | 108.5.f.a.19.14 | 44 | |||
36.7 | odd | 6 | 324.5.d.f.163.21 | 22 | |||
36.11 | even | 6 | 324.5.d.e.163.2 | 22 | |||
36.23 | even | 6 | 108.5.f.a.91.15 | 44 | |||
36.31 | odd | 6 | inner | 36.5.f.a.31.8 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.8 | ✓ | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.7.9 | yes | 44 | 4.3 | odd | 2 | inner | |
36.5.f.a.31.8 | yes | 44 | 36.31 | odd | 6 | inner | |
36.5.f.a.31.9 | yes | 44 | 9.4 | even | 3 | inner | |
108.5.f.a.19.14 | 44 | 12.11 | even | 2 | |||
108.5.f.a.19.15 | 44 | 3.2 | odd | 2 | |||
108.5.f.a.91.14 | 44 | 9.5 | odd | 6 | |||
108.5.f.a.91.15 | 44 | 36.23 | even | 6 | |||
324.5.d.e.163.1 | 22 | 9.2 | odd | 6 | |||
324.5.d.e.163.2 | 22 | 36.11 | even | 6 | |||
324.5.d.f.163.21 | 22 | 36.7 | odd | 6 | |||
324.5.d.f.163.22 | 22 | 9.7 | even | 3 |