Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,6,Mod(3,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.h (of order \(18\), degree \(6\), 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: | \(11.8684026662\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 74.3 |
Dual form | 74.6.h.a.25.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.57115 | + | 3.06418i | −0.454519 | + | 0.541675i | ||||
\(3\) | −5.46669 | + | 4.58709i | −0.350688 | + | 0.294262i | −0.801066 | − | 0.598576i | \(-0.795734\pi\) |
0.450378 | + | 0.892838i | \(0.351289\pi\) | |||||||
\(4\) | −2.77837 | − | 15.7569i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −35.9379 | + | 98.7386i | −0.642877 | + | 1.76629i | −0.000382109 | 1.00000i | \(0.500122\pi\) | |
−0.642495 | + | 0.766290i | \(0.722101\pi\) | |||||||
\(6\) | − | 28.5450i | − | 0.323707i | ||||||
\(7\) | 74.9073 | + | 27.2640i | 0.577802 | + | 0.210303i | 0.614356 | − | 0.789029i | \(-0.289416\pi\) |
−0.0365542 | + | 0.999332i | \(0.511638\pi\) | |||||||
\(8\) | 55.4256 | + | 32.0000i | 0.306186 | + | 0.176777i | ||||
\(9\) | −33.3533 | + | 189.156i | −0.137256 | + | 0.778419i | ||||
\(10\) | −210.151 | − | 363.992i | −0.664555 | − | 1.15104i | ||||
\(11\) | 38.7806 | − | 67.1699i | 0.0966346 | − | 0.167376i | −0.813655 | − | 0.581348i | \(-0.802526\pi\) |
0.910290 | + | 0.413972i | \(0.135859\pi\) | |||||||
\(12\) | 87.4670 | + | 73.3935i | 0.175344 | + | 0.147131i | ||||
\(13\) | −115.954 | + | 20.4459i | −0.190295 | + | 0.0335542i | −0.267983 | − | 0.963424i | \(-0.586357\pi\) |
0.0776881 | + | 0.996978i | \(0.475246\pi\) | |||||||
\(14\) | −276.140 | + | 159.429i | −0.376538 | + | 0.217394i | ||||
\(15\) | −256.462 | − | 704.624i | −0.294303 | − | 0.808591i | ||||
\(16\) | −240.561 | + | 87.5572i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −1211.04 | − | 213.539i | −1.01633 | − | 0.179207i | −0.359421 | − | 0.933175i | \(-0.617026\pi\) |
−0.656910 | + | 0.753969i | \(0.728137\pi\) | |||||||
\(18\) | −493.851 | − | 588.549i | −0.359265 | − | 0.428155i | ||||
\(19\) | −121.992 | − | 145.385i | −0.0775263 | − | 0.0923922i | 0.725887 | − | 0.687814i | \(-0.241429\pi\) |
−0.803413 | + | 0.595422i | \(0.796985\pi\) | |||||||
\(20\) | 1655.67 | + | 291.939i | 0.925545 | + | 0.163199i | ||||
\(21\) | −534.557 | + | 194.563i | −0.264512 | + | 0.0962746i | ||||
\(22\) | 106.110 | + | 291.535i | 0.0467411 | + | 0.128420i | ||||
\(23\) | 1806.23 | − | 1042.83i | 0.711956 | − | 0.411048i | −0.0998286 | − | 0.995005i | \(-0.531829\pi\) |
0.811785 | + | 0.583956i | \(0.198496\pi\) | |||||||
\(24\) | −449.782 | + | 79.3086i | −0.159395 | + | 0.0281056i | ||||
\(25\) | −6063.89 | − | 5088.21i | −1.94044 | − | 1.62823i | ||||
\(26\) | 235.486 | − | 407.874i | 0.0683175 | − | 0.118329i | ||||
\(27\) | −1552.40 | − | 2688.83i | −0.409821 | − | 0.709830i | ||||
\(28\) | 221.477 | − | 1256.06i | 0.0533867 | − | 0.302771i | ||||
\(29\) | 2029.26 | + | 1171.59i | 0.448067 | + | 0.258691i | 0.707013 | − | 0.707200i | \(-0.250042\pi\) |
−0.258947 | + | 0.965892i | \(0.583375\pi\) | |||||||
\(30\) | 2818.49 | + | 1025.85i | 0.571760 | + | 0.208104i | ||||
\(31\) | − | 9722.36i | − | 1.81705i | −0.417827 | − | 0.908526i | \(-0.637208\pi\) | ||
0.417827 | − | 0.908526i | \(-0.362792\pi\) | |||||||
\(32\) | 350.229 | − | 962.245i | 0.0604612 | − | 0.166116i | ||||
\(33\) | 96.1136 | + | 545.087i | 0.0153638 | + | 0.0871327i | ||||
\(34\) | 3768.08 | − | 3161.80i | 0.559014 | − | 0.469069i | ||||
\(35\) | −5384.02 | + | 6416.43i | −0.742911 | + | 0.885367i | ||||
\(36\) | 3073.18 | 0.395214 | ||||||||
\(37\) | −4911.56 | + | 6724.62i | −0.589814 | + | 0.807539i | ||||
\(38\) | 759.146 | 0.0852838 | ||||||||
\(39\) | 540.098 | − | 643.664i | 0.0568606 | − | 0.0677638i | ||||
\(40\) | −5151.52 | + | 4322.64i | −0.509079 | + | 0.427168i | ||||
\(41\) | 2695.09 | + | 15284.6i | 0.250388 | + | 1.42002i | 0.807639 | + | 0.589677i | \(0.200745\pi\) |
−0.557251 | + | 0.830344i | \(0.688144\pi\) | |||||||
\(42\) | 778.252 | − | 2138.23i | 0.0680764 | − | 0.187038i | ||||
\(43\) | 11261.2i | 0.928781i | 0.885631 | + | 0.464390i | \(0.153727\pi\) | ||||
−0.885631 | + | 0.464390i | \(0.846273\pi\) | |||||||
\(44\) | −1166.14 | − | 424.440i | −0.0908068 | − | 0.0330510i | ||||
\(45\) | −17478.3 | − | 10091.1i | −1.28668 | − | 0.742862i | ||||
\(46\) | −1448.68 | + | 8215.88i | −0.100943 | + | 0.572479i | ||||
\(47\) | 6084.42 | + | 10538.5i | 0.401767 | + | 0.695882i | 0.993939 | − | 0.109930i | \(-0.0350627\pi\) |
−0.592172 | + | 0.805812i | \(0.701729\pi\) | |||||||
\(48\) | 913.440 | − | 1582.13i | 0.0572239 | − | 0.0991146i | ||||
\(49\) | −8007.14 | − | 6718.79i | −0.476417 | − | 0.399761i | ||||
\(50\) | 31182.3 | − | 5498.29i | 1.76394 | − | 0.311030i | ||||
\(51\) | 7599.89 | − | 4387.80i | 0.409149 | − | 0.236222i | ||||
\(52\) | 644.328 | + | 1770.28i | 0.0330444 | + | 0.0907889i | ||||
\(53\) | 20199.4 | − | 7351.99i | 0.987755 | − | 0.359513i | 0.202904 | − | 0.979199i | \(-0.434962\pi\) |
0.784850 | + | 0.619685i | \(0.212740\pi\) | |||||||
\(54\) | 12230.5 | + | 2156.57i | 0.570769 | + | 0.100642i | ||||
\(55\) | 5238.57 | + | 6243.09i | 0.233510 | + | 0.278287i | ||||
\(56\) | 3279.33 | + | 3908.16i | 0.139738 | + | 0.166534i | ||||
\(57\) | 1333.79 | + | 235.183i | 0.0543751 | + | 0.00958779i | ||||
\(58\) | −8807.50 | + | 3205.67i | −0.343782 | + | 0.125126i | ||||
\(59\) | 1923.54 | + | 5284.89i | 0.0719402 | + | 0.197654i | 0.970451 | − | 0.241296i | \(-0.0775726\pi\) |
−0.898511 | + | 0.438950i | \(0.855350\pi\) | |||||||
\(60\) | −10390.2 | + | 5998.76i | −0.372601 | + | 0.215121i | ||||
\(61\) | −6322.90 | + | 1114.90i | −0.217566 | + | 0.0383628i | −0.281369 | − | 0.959600i | \(-0.590788\pi\) |
0.0638024 | + | 0.997963i | \(0.479677\pi\) | |||||||
\(62\) | 29791.0 | + | 24997.7i | 0.984253 | + | 0.825886i | ||||
\(63\) | −7655.55 | + | 13259.8i | −0.243011 | + | 0.420907i | ||||
\(64\) | 2048.00 | + | 3547.24i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 2148.36 | − | 12183.9i | 0.0630700 | − | 0.357688i | ||||
\(66\) | −1917.37 | − | 1106.99i | −0.0541808 | − | 0.0312813i | ||||
\(67\) | −23795.7 | − | 8660.91i | −0.647606 | − | 0.235709i | −0.00272948 | − | 0.999996i | \(-0.500869\pi\) |
−0.644876 | + | 0.764287i | \(0.723091\pi\) | |||||||
\(68\) | 19675.5i | 0.516005i | ||||||||
\(69\) | −5090.54 | + | 13986.2i | −0.128719 | + | 0.353652i | ||||
\(70\) | −5817.94 | − | 32995.2i | −0.141914 | − | 0.804833i | ||||
\(71\) | −51631.5 | + | 43324.0i | −1.21554 | + | 1.01996i | −0.216494 | + | 0.976284i | \(0.569462\pi\) |
−0.999046 | + | 0.0436750i | \(0.986093\pi\) | |||||||
\(72\) | −7901.61 | + | 9416.78i | −0.179632 | + | 0.214078i | ||||
\(73\) | 42735.7 | 0.938606 | 0.469303 | − | 0.883037i | \(-0.344505\pi\) | ||||
0.469303 | + | 0.883037i | \(0.344505\pi\) | |||||||
\(74\) | −7977.07 | − | 32339.9i | −0.169342 | − | 0.686530i | ||||
\(75\) | 56489.5 | 1.15962 | ||||||||
\(76\) | −1951.88 | + | 2326.16i | −0.0387631 | + | 0.0461961i | ||||
\(77\) | 4736.27 | − | 3974.20i | 0.0910352 | − | 0.0763876i | ||||
\(78\) | 583.627 | + | 3309.91i | 0.0108617 | + | 0.0615999i | ||||
\(79\) | −8732.70 | + | 23992.9i | −0.157428 | + | 0.432529i | −0.993182 | − | 0.116575i | \(-0.962808\pi\) |
0.835754 | + | 0.549103i | \(0.185031\pi\) | |||||||
\(80\) | − | 26899.3i | − | 0.469912i | ||||||
\(81\) | −23038.8 | − | 8385.42i | −0.390164 | − | 0.142008i | ||||
\(82\) | −53764.3 | − | 31040.8i | −0.882997 | − | 0.509798i | ||||
\(83\) | 627.896 | − | 3560.98i | 0.0100044 | − | 0.0567380i | −0.979397 | − | 0.201945i | \(-0.935274\pi\) |
0.989401 | + | 0.145207i | \(0.0463849\pi\) | |||||||
\(84\) | 4550.91 | + | 7882.41i | 0.0703720 | + | 0.121888i | ||||
\(85\) | 64606.7 | − | 111902.i | 0.969907 | − | 1.67993i | ||||
\(86\) | −34506.3 | − | 28954.2i | −0.503098 | − | 0.422149i | ||||
\(87\) | −16467.5 | + | 2903.67i | −0.233255 | + | 0.0411291i | ||||
\(88\) | 4298.88 | − | 2481.96i | 0.0591763 | − | 0.0341655i | ||||
\(89\) | −31545.4 | − | 86670.4i | −0.422145 | − | 1.15983i | −0.950477 | − | 0.310795i | \(-0.899405\pi\) |
0.528332 | − | 0.849038i | \(-0.322818\pi\) | |||||||
\(90\) | 75860.4 | − | 27610.9i | 0.987209 | − | 0.359315i | ||||
\(91\) | −9243.25 | − | 1629.83i | −0.117010 | − | 0.0206319i | ||||
\(92\) | −21450.1 | − | 25563.3i | −0.264217 | − | 0.314881i | ||||
\(93\) | 44597.4 | + | 53149.1i | 0.534690 | + | 0.637219i | ||||
\(94\) | −47935.9 | − | 8452.39i | −0.559553 | − | 0.0986643i | ||||
\(95\) | 18739.3 | − | 6820.53i | 0.213031 | − | 0.0775371i | ||||
\(96\) | 2499.32 | + | 6866.82i | 0.0276786 | + | 0.0760463i | ||||
\(97\) | 7615.85 | − | 4397.02i | 0.0821844 | − | 0.0474492i | −0.458345 | − | 0.888775i | \(-0.651557\pi\) |
0.540529 | + | 0.841325i | \(0.318224\pi\) | |||||||
\(98\) | 41175.1 | − | 7260.28i | 0.433081 | − | 0.0763639i | ||||
\(99\) | 11412.1 | + | 9575.91i | 0.117025 | + | 0.0981956i | ||||
\(100\) | −63326.8 | + | 109685.i | −0.633268 | + | 1.09685i | ||||
\(101\) | −41454.6 | − | 71801.5i | −0.404361 | − | 0.700374i | 0.589886 | − | 0.807487i | \(-0.299173\pi\) |
−0.994247 | + | 0.107113i | \(0.965839\pi\) | |||||||
\(102\) | −6095.46 | + | 34569.1i | −0.0580105 | + | 0.328994i | ||||
\(103\) | −164061. | − | 94720.5i | −1.52374 | − | 0.879733i | −0.999605 | − | 0.0280991i | \(-0.991055\pi\) |
−0.524137 | − | 0.851634i | \(-0.675612\pi\) | |||||||
\(104\) | −7081.10 | − | 2577.31i | −0.0641974 | − | 0.0233659i | ||||
\(105\) | − | 59773.6i | − | 0.529098i | ||||||
\(106\) | −29407.9 | + | 80797.7i | −0.254214 | + | 0.698448i | ||||
\(107\) | 23320.6 | + | 132258.i | 0.196916 | + | 1.11677i | 0.909664 | + | 0.415345i | \(0.136339\pi\) |
−0.712748 | + | 0.701420i | \(0.752550\pi\) | |||||||
\(108\) | −38054.6 | + | 31931.6i | −0.313941 | + | 0.263428i | ||||
\(109\) | −47479.5 | + | 56583.9i | −0.382772 | + | 0.456170i | −0.922687 | − | 0.385550i | \(-0.874012\pi\) |
0.539915 | + | 0.841719i | \(0.318456\pi\) | |||||||
\(110\) | −32599.1 | −0.256876 | ||||||||
\(111\) | −3996.50 | − | 59291.2i | −0.0307874 | − | 0.456754i | ||||
\(112\) | −20406.9 | −0.153721 | ||||||||
\(113\) | −50554.8 | + | 60248.9i | −0.372449 | + | 0.443867i | −0.919416 | − | 0.393287i | \(-0.871338\pi\) |
0.546967 | + | 0.837154i | \(0.315782\pi\) | |||||||
\(114\) | −4150.01 | + | 3482.28i | −0.0299080 | + | 0.0250958i | ||||
\(115\) | 38055.2 | + | 215822.i | 0.268330 | + | 1.52177i | ||||
\(116\) | 12822.7 | − | 35230.0i | 0.0884777 | − | 0.243090i | ||||
\(117\) | − | 22615.4i | − | 0.152735i | ||||||
\(118\) | −21139.6 | − | 7694.17i | −0.139763 | − | 0.0508694i | ||||
\(119\) | −84893.6 | − | 49013.4i | −0.549551 | − | 0.317283i | ||||
\(120\) | 8333.39 | − | 47261.0i | 0.0528285 | − | 0.299605i | ||||
\(121\) | 77517.6 | + | 134264.i | 0.481324 | + | 0.833677i | ||||
\(122\) | 12840.9 | − | 22241.1i | 0.0781079 | − | 0.135287i | ||||
\(123\) | −84845.2 | − | 71193.6i | −0.505667 | − | 0.424305i | ||||
\(124\) | −153195. | + | 27012.3i | −0.894724 | + | 0.157764i | ||||
\(125\) | 435957. | − | 251700.i | 2.49557 | − | 1.44082i | ||||
\(126\) | −20946.8 | − | 57550.9i | −0.117542 | − | 0.322943i | ||||
\(127\) | 284839. | − | 103673.i | 1.56708 | − | 0.570369i | 0.594733 | − | 0.803923i | \(-0.297258\pi\) |
0.972344 | + | 0.233554i | \(0.0750355\pi\) | |||||||
\(128\) | −16135.1 | − | 2845.05i | −0.0870455 | − | 0.0153485i | ||||
\(129\) | −51656.2 | − | 61561.4i | −0.273305 | − | 0.325712i | ||||
\(130\) | 31810.0 | + | 37909.7i | 0.165084 | + | 0.196740i | ||||
\(131\) | 159305. | + | 28089.7i | 0.811055 | + | 0.143011i | 0.563770 | − | 0.825932i | \(-0.309351\pi\) |
0.247285 | + | 0.968943i | \(0.420462\pi\) | |||||||
\(132\) | 8321.86 | − | 3028.91i | 0.0415705 | − | 0.0151304i | ||||
\(133\) | −5174.34 | − | 14216.4i | −0.0253645 | − | 0.0696884i | ||||
\(134\) | 87720.8 | − | 50645.6i | 0.422027 | − | 0.243658i | ||||
\(135\) | 321282. | − | 56650.6i | 1.51723 | − | 0.267529i | ||||
\(136\) | −60289.3 | − | 50588.7i | −0.279507 | − | 0.234534i | ||||
\(137\) | −56823.3 | + | 98420.8i | −0.258657 | + | 0.448008i | −0.965882 | − | 0.258981i | \(-0.916613\pi\) |
0.707225 | + | 0.706988i | \(0.249947\pi\) | |||||||
\(138\) | −29767.5 | − | 51558.8i | −0.133059 | − | 0.230465i | ||||
\(139\) | −55289.7 | + | 313564.i | −0.242721 | + | 1.37654i | 0.583005 | + | 0.812468i | \(0.301877\pi\) |
−0.825726 | + | 0.564071i | \(0.809234\pi\) | |||||||
\(140\) | 116062. | + | 67008.4i | 0.500461 | + | 0.288941i | ||||
\(141\) | −81602.9 | − | 29701.0i | −0.345667 | − | 0.125812i | ||||
\(142\) | − | 269601.i | − | 1.12202i | ||||||
\(143\) | −3123.42 | + | 8581.54i | −0.0127729 | + | 0.0350934i | ||||
\(144\) | −8538.44 | − | 48423.9i | −0.0343141 | − | 0.194605i | ||||
\(145\) | −188609. | + | 158262.i | −0.744976 | + | 0.625109i | ||||
\(146\) | −109880. | + | 130950.i | −0.426615 | + | 0.508420i | ||||
\(147\) | 74592.2 | 0.284708 | ||||||||
\(148\) | 119605. | + | 58707.6i | 0.448845 | + | 0.220313i | ||||
\(149\) | −389443. | −1.43707 | −0.718536 | − | 0.695490i | \(-0.755188\pi\) | ||||
−0.718536 | + | 0.695490i | \(0.755188\pi\) | |||||||
\(150\) | −145243. | + | 173094.i | −0.527068 | + | 0.628136i | ||||
\(151\) | −408790. | + | 343016.i | −1.45901 | + | 1.22425i | −0.533350 | + | 0.845895i | \(0.679067\pi\) |
−0.925659 | + | 0.378359i | \(0.876489\pi\) | |||||||
\(152\) | −2109.19 | − | 11961.8i | −0.00740469 | − | 0.0419941i | ||||
\(153\) | 80784.2 | − | 221953.i | 0.278996 | − | 0.766535i | ||||
\(154\) | 24731.0i | 0.0840312i | ||||||||
\(155\) | 959973. | + | 349401.i | 3.20944 | + | 1.16814i | ||||
\(156\) | −11642.8 | − | 6721.95i | −0.0383040 | − | 0.0221148i | ||||
\(157\) | −30404.5 | + | 172432.i | −0.0984438 | + | 0.558303i | 0.895194 | + | 0.445677i | \(0.147037\pi\) |
−0.993638 | + | 0.112625i | \(0.964074\pi\) | |||||||
\(158\) | −51065.4 | − | 88447.9i | −0.162736 | − | 0.281867i | ||||
\(159\) | −76699.6 | + | 132848.i | −0.240603 | + | 0.416736i | ||||
\(160\) | 82424.3 | + | 69162.2i | 0.254539 | + | 0.213584i | ||||
\(161\) | 163731. | − | 28870.3i | 0.497814 | − | 0.0877781i | ||||
\(162\) | 84930.6 | − | 49034.7i | 0.254259 | − | 0.146797i | ||||
\(163\) | −92031.8 | − | 252855.i | −0.271312 | − | 0.745424i | −0.998273 | − | 0.0587449i | \(-0.981290\pi\) |
0.726961 | − | 0.686679i | \(-0.240932\pi\) | |||||||
\(164\) | 233351. | − | 84932.7i | 0.677484 | − | 0.246584i | ||||
\(165\) | −57275.3 | − | 10099.2i | −0.163779 | − | 0.0288786i | ||||
\(166\) | 9297.05 | + | 11079.8i | 0.0261863 | + | 0.0312077i | ||||
\(167\) | −197883. | − | 235827.i | −0.549056 | − | 0.654340i | 0.418136 | − | 0.908384i | \(-0.362683\pi\) |
−0.967192 | + | 0.254045i | \(0.918239\pi\) | |||||||
\(168\) | −35854.2 | − | 6322.06i | −0.0980091 | − | 0.0172817i | ||||
\(169\) | −335874. | + | 122248.i | −0.904606 | + | 0.329250i | ||||
\(170\) | 176774. | + | 485683.i | 0.469134 | + | 1.28893i | ||||
\(171\) | 31569.3 | − | 18226.5i | 0.0825608 | − | 0.0476665i | ||||
\(172\) | 177442. | − | 31287.8i | 0.457335 | − | 0.0806405i | ||||
\(173\) | 240605. | + | 201892.i | 0.611210 | + | 0.512866i | 0.895027 | − | 0.446013i | \(-0.147156\pi\) |
−0.283817 | + | 0.958878i | \(0.591601\pi\) | |||||||
\(174\) | 33443.2 | − | 57925.2i | 0.0837402 | − | 0.145042i | ||||
\(175\) | −315504. | − | 546470.i | −0.778772 | − | 1.34887i | ||||
\(176\) | −3447.90 | + | 19554.0i | −0.00839021 | + | 0.0475832i | ||||
\(177\) | −34757.7 | − | 20067.4i | −0.0833907 | − | 0.0481457i | ||||
\(178\) | 346681. | + | 126182.i | 0.820126 | + | 0.298501i | ||||
\(179\) | 409616.i | 0.955531i | 0.878488 | + | 0.477765i | \(0.158553\pi\) | ||||
−0.878488 | + | 0.477765i | \(0.841447\pi\) | |||||||
\(180\) | −110444. | + | 303442.i | −0.254074 | + | 0.698062i | ||||
\(181\) | −30427.0 | − | 172560.i | −0.0690340 | − | 0.391511i | −0.999673 | − | 0.0255727i | \(-0.991859\pi\) |
0.930639 | − | 0.365939i | \(-0.119252\pi\) | |||||||
\(182\) | 28759.9 | − | 24132.4i | 0.0643589 | − | 0.0540035i | ||||
\(183\) | 29451.2 | − | 35098.5i | 0.0650092 | − | 0.0774749i | ||||
\(184\) | 133482. | 0.290655 | ||||||||
\(185\) | −487468. | − | 726630.i | −1.04717 | − | 1.56093i | ||||
\(186\) | −277525. | −0.588193 | ||||||||
\(187\) | −61308.1 | + | 73064.2i | −0.128208 | + | 0.152792i | ||||
\(188\) | 149150. | − | 125152.i | 0.307772 | − | 0.258251i | ||||
\(189\) | −42977.5 | − | 243738.i | −0.0875159 | − | 0.496327i | ||||
\(190\) | −27282.1 | + | 74957.0i | −0.0548270 | + | 0.150636i | ||||
\(191\) | 413216.i | 0.819584i | 0.912179 | + | 0.409792i | \(0.134399\pi\) | ||||
−0.912179 | + | 0.409792i | \(0.865601\pi\) | |||||||
\(192\) | −27467.3 | − | 9997.28i | −0.0537728 | − | 0.0195717i | ||||
\(193\) | −792809. | − | 457729.i | −1.53206 | − | 0.884535i | −0.999267 | − | 0.0382888i | \(-0.987809\pi\) |
−0.532792 | − | 0.846246i | \(-0.678857\pi\) | |||||||
\(194\) | −6108.27 | + | 34641.7i | −0.0116524 | + | 0.0660838i | ||||
\(195\) | 44144.5 | + | 76460.5i | 0.0831362 | + | 0.143996i | ||||
\(196\) | −83620.6 | + | 144835.i | −0.155480 | + | 0.269298i | ||||
\(197\) | 459570. | + | 385625.i | 0.843697 | + | 0.707946i | 0.958392 | − | 0.285455i | \(-0.0921447\pi\) |
−0.114695 | + | 0.993401i | \(0.536589\pi\) | |||||||
\(198\) | −58684.6 | + | 10347.7i | −0.106380 | + | 0.0187577i | ||||
\(199\) | 338247. | − | 195287.i | 0.605483 | − | 0.349576i | −0.165713 | − | 0.986174i | \(-0.552992\pi\) |
0.771195 | + | 0.636599i | \(0.219659\pi\) | |||||||
\(200\) | −173272. | − | 476062.i | −0.306305 | − | 0.841566i | ||||
\(201\) | 169812. | − | 61806.4i | 0.296468 | − | 0.107905i | ||||
\(202\) | 326598. | + | 57588.1i | 0.563165 | + | 0.0993012i | ||||
\(203\) | 120064. | + | 143087.i | 0.204490 | + | 0.243702i | ||||
\(204\) | −90253.5 | − | 107560.i | −0.151841 | − | 0.180957i | ||||
\(205\) | −1.60604e6 | − | 283188.i | −2.66914 | − | 0.470641i | ||||
\(206\) | 712065. | − | 259171.i | 1.16910 | − | 0.425518i | ||||
\(207\) | 137013. | + | 376441.i | 0.222247 | + | 0.610620i | ||||
\(208\) | 26103.9 | − | 15071.1i | 0.0418357 | − | 0.0241539i | ||||
\(209\) | −14496.4 | + | 2556.11i | −0.0229560 | + | 0.00404775i | ||||
\(210\) | 183157. | + | 153687.i | 0.286599 | + | 0.240485i | ||||
\(211\) | −318455. | + | 551580.i | −0.492427 | + | 0.852908i | −0.999962 | − | 0.00872281i | \(-0.997223\pi\) |
0.507535 | + | 0.861631i | \(0.330557\pi\) | |||||||
\(212\) | −171966. | − | 297854.i | −0.262787 | − | 0.455160i | ||||
\(213\) | 83522.1 | − | 473677.i | 0.126140 | − | 0.715375i | ||||
\(214\) | −465222. | − | 268596.i | −0.694426 | − | 0.400927i | ||||
\(215\) | −1.11191e6 | − | 404704.i | −1.64050 | − | 0.597092i | ||||
\(216\) | − | 198707.i | − | 0.289787i | ||||||
\(217\) | 265071. | − | 728276.i | 0.382131 | − | 1.04990i | ||||
\(218\) | −51306.1 | − | 290971.i | −0.0731186 | − | 0.414676i | ||||
\(219\) | −233622. | + | 196033.i | −0.329158 | + | 0.276196i | ||||
\(220\) | 83817.1 | − | 99889.4i | 0.116755 | − | 0.139143i | ||||
\(221\) | 144791. | 0.199416 | ||||||||
\(222\) | 191954. | + | 140201.i | 0.261406 | + | 0.190927i | ||||
\(223\) | −147158. | −0.198163 | −0.0990814 | − | 0.995079i | \(-0.531590\pi\) | ||||
−0.0990814 | + | 0.995079i | \(0.531590\pi\) | |||||||
\(224\) | 52469.3 | − | 62530.5i | 0.0698692 | − | 0.0832668i | ||||
\(225\) | 1.16472e6 | − | 977312.i | 1.53378 | − | 1.28700i | ||||
\(226\) | −54629.2 | − | 309818.i | −0.0711466 | − | 0.403492i | ||||
\(227\) | −38903.5 | + | 106887.i | −0.0501100 | + | 0.137676i | −0.962223 | − | 0.272263i | \(-0.912228\pi\) |
0.912113 | + | 0.409939i | \(0.134450\pi\) | |||||||
\(228\) | − | 21669.8i | − | 0.0276070i | ||||||
\(229\) | 1.25693e6 | + | 457484.i | 1.58388 | + | 0.576484i | 0.976042 | − | 0.217580i | \(-0.0698164\pi\) |
0.607834 | + | 0.794064i | \(0.292039\pi\) | |||||||
\(230\) | −759162. | − | 438302.i | −0.946269 | − | 0.546329i | ||||
\(231\) | −7661.66 | + | 43451.4i | −0.00944698 | + | 0.0535765i | ||||
\(232\) | 74982.0 | + | 129873.i | 0.0914612 | + | 0.158415i | ||||
\(233\) | 117883. | − | 204179.i | 0.142253 | − | 0.246389i | −0.786092 | − | 0.618110i | \(-0.787899\pi\) |
0.928345 | + | 0.371721i | \(0.121232\pi\) | |||||||
\(234\) | 69297.5 | + | 58147.5i | 0.0827328 | + | 0.0694211i | ||||
\(235\) | −1.25922e6 | + | 222035.i | −1.48742 | + | 0.262272i | ||||
\(236\) | 77929.3 | − | 44992.5i | 0.0910795 | − | 0.0525848i | ||||
\(237\) | −62318.7 | − | 171219.i | −0.0720689 | − | 0.198008i | ||||
\(238\) | 368460. | − | 134108.i | 0.421646 | − | 0.153467i | ||||
\(239\) | −1.12625e6 | − | 198588.i | −1.27538 | − | 0.224884i | −0.505364 | − | 0.862906i | \(-0.668642\pi\) |
−0.770018 | + | 0.638022i | \(0.779753\pi\) | |||||||
\(240\) | 123390. | + | 147050.i | 0.138277 | + | 0.164792i | ||||
\(241\) | 489804. | + | 583726.i | 0.543225 | + | 0.647391i | 0.965908 | − | 0.258887i | \(-0.0833559\pi\) |
−0.422682 | + | 0.906278i | \(0.638911\pi\) | |||||||
\(242\) | −610720. | − | 107686.i | −0.670353 | − | 0.118201i | ||||
\(243\) | 873376. | − | 317883.i | 0.948824 | − | 0.345344i | ||||
\(244\) | 35134.7 | + | 96531.8i | 0.0377800 | + | 0.103800i | ||||
\(245\) | 951163. | − | 549154.i | 1.01237 | − | 0.584493i | ||||
\(246\) | 436299. | − | 76931.4i | 0.459671 | − | 0.0810524i | ||||
\(247\) | 17118.1 | + | 14363.8i | 0.0178530 | + | 0.0149805i | ||||
\(248\) | 311116. | − | 538868.i | 0.321213 | − | 0.556357i | ||||
\(249\) | 12902.0 | + | 22347.0i | 0.0131874 | + | 0.0228413i | ||||
\(250\) | −349658. | + | 1.98301e6i | −0.353829 | + | 2.00667i | ||||
\(251\) | 416038. | + | 240199.i | 0.416820 | + | 0.240651i | 0.693716 | − | 0.720249i | \(-0.255972\pi\) |
−0.276896 | + | 0.960900i | \(0.589306\pi\) | |||||||
\(252\) | 230204. | + | 83787.3i | 0.228355 | + | 0.0831145i | ||||
\(253\) | − | 161766.i | − | 0.158886i | ||||||
\(254\) | −414692. | + | 1.13936e6i | −0.403312 | + | 1.10809i | ||||
\(255\) | 160121. | + | 908091.i | 0.154205 | + | 0.874538i | ||||
\(256\) | 50203.5 | − | 42125.7i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 89422.9 | − | 106570.i | 0.0844532 | − | 0.100647i | −0.722163 | − | 0.691723i | \(-0.756852\pi\) |
0.806616 | + | 0.591075i | \(0.201296\pi\) | |||||||
\(258\) | 321451. | 0.300653 | ||||||||
\(259\) | −551252. | + | 369814.i | −0.510623 | + | 0.342558i | ||||
\(260\) | −197950. | −0.181603 | ||||||||
\(261\) | −289296. | + | 344770.i | −0.262870 | + | 0.313277i | ||||
\(262\) | −495668. | + | 415915.i | −0.446106 | + | 0.374327i | ||||
\(263\) | 101135. | + | 573567.i | 0.0901599 | + | 0.511322i | 0.996123 | + | 0.0879665i | \(0.0280368\pi\) |
−0.905964 | + | 0.423356i | \(0.860852\pi\) | |||||||
\(264\) | −12115.6 | + | 33287.4i | −0.0106988 | + | 0.0293948i | ||||
\(265\) | 2.25868e6i | 1.97578i | ||||||||
\(266\) | 56865.6 | + | 20697.4i | 0.0492771 | + | 0.0179354i | ||||
\(267\) | 570014. | + | 329098.i | 0.489336 | + | 0.282518i | ||||
\(268\) | −70356.1 | + | 399009.i | −0.0598363 | + | 0.339349i | ||||
\(269\) | −208224. | − | 360654.i | −0.175448 | − | 0.303886i | 0.764868 | − | 0.644187i | \(-0.222804\pi\) |
−0.940316 | + | 0.340301i | \(0.889471\pi\) | |||||||
\(270\) | −652476. | + | 1.13012e6i | −0.544697 | + | 0.943443i | ||||
\(271\) | 217584. | + | 182575.i | 0.179971 | + | 0.151014i | 0.728323 | − | 0.685234i | \(-0.240300\pi\) |
−0.548352 | + | 0.836248i | \(0.684744\pi\) | |||||||
\(272\) | 310026. | − | 54665.9i | 0.254083 | − | 0.0448017i | ||||
\(273\) | 58006.2 | − | 33489.9i | 0.0471050 | − | 0.0271961i | ||||
\(274\) | −155478. | − | 427171.i | −0.125110 | − | 0.343736i | ||||
\(275\) | −576936. | + | 209987.i | −0.460040 | + | 0.167441i | ||||
\(276\) | 234522. | + | 41352.6i | 0.185315 | + | 0.0326761i | ||||
\(277\) | 271831. | + | 323955.i | 0.212863 | + | 0.253680i | 0.861902 | − | 0.507075i | \(-0.169273\pi\) |
−0.649039 | + | 0.760755i | \(0.724829\pi\) | |||||||
\(278\) | −818656. | − | 975637.i | −0.635316 | − | 0.757140i | ||||
\(279\) | 1.83904e6 | + | 324273.i | 1.41443 | + | 0.249402i | ||||
\(280\) | −503738. | + | 183346.i | −0.383981 | + | 0.139758i | ||||
\(281\) | −598879. | − | 1.64541e6i | −0.452453 | − | 1.24310i | −0.930992 | − | 0.365038i | \(-0.881056\pi\) |
0.478540 | − | 0.878066i | \(-0.341166\pi\) | |||||||
\(282\) | 300822. | − | 173680.i | 0.225262 | − | 0.130055i | ||||
\(283\) | 2.18887e6 | − | 385958.i | 1.62463 | − | 0.286466i | 0.714143 | − | 0.700000i | \(-0.246817\pi\) |
0.910489 | + | 0.413534i | \(0.135706\pi\) | |||||||
\(284\) | 826105. | + | 693184.i | 0.607770 | + | 0.509979i | ||||
\(285\) | −71155.2 | + | 123244.i | −0.0518913 | + | 0.0898784i | ||||
\(286\) | −18264.6 | − | 31635.2i | −0.0132037 | − | 0.0228694i | ||||
\(287\) | −214838. | + | 1.21841e6i | −0.153960 | + | 0.873148i | ||||
\(288\) | 170333. | + | 98341.8i | 0.121009 | + | 0.0698646i | ||||
\(289\) | 86785.1 | + | 31587.2i | 0.0611224 | + | 0.0222467i | ||||
\(290\) | − | 984846.i | − | 0.687659i | ||||||
\(291\) | −21464.0 | + | 58971.8i | −0.0148586 | + | 0.0408236i | ||||
\(292\) | −118736. | − | 673383.i | −0.0814936 | − | 0.462173i | ||||
\(293\) | 1.02327e6 | − | 858624.i | 0.696338 | − | 0.584297i | −0.224391 | − | 0.974499i | \(-0.572039\pi\) |
0.920729 | + | 0.390202i | \(0.127595\pi\) | |||||||
\(294\) | −191788. | + | 228564.i | −0.129405 | + | 0.154219i | ||||
\(295\) | −590951. | −0.395363 | ||||||||
\(296\) | −487414. | + | 215546.i | −0.323347 | + | 0.142992i | ||||
\(297\) | −240812. | −0.158411 | ||||||||
\(298\) | 1.00132e6 | − | 1.19332e6i | 0.653177 | − | 0.778427i | ||||
\(299\) | −188118. | + | 157850.i | −0.121690 | + | 0.102110i | ||||
\(300\) | −156949. | − | 890100.i | −0.100683 | − | 0.571000i | ||||
\(301\) | −307025. | + | 843545.i | −0.195325 | + | 0.536651i | ||||
\(302\) | − | 2.13455e6i | − | 1.34676i | ||||||
\(303\) | 555979. | + | 202360.i | 0.347898 | + | 0.126625i | ||||
\(304\) | 42076.2 | + | 24292.7i | 0.0261127 | + | 0.0150762i | ||||
\(305\) | 117148. | − | 664381.i | 0.0721085 | − | 0.408948i | ||||
\(306\) | 472394. | + | 818211.i | 0.288404 | + | 0.499530i | ||||
\(307\) | 1.08464e6 | − | 1.87865e6i | 0.656809 | − | 1.13763i | −0.324628 | − | 0.945842i | \(-0.605239\pi\) |
0.981437 | − | 0.191784i | \(-0.0614274\pi\) | |||||||
\(308\) | −75780.3 | − | 63587.2i | −0.0455176 | − | 0.0381938i | ||||
\(309\) | 1.33136e6 | − | 234755.i | 0.793231 | − | 0.139868i | ||||
\(310\) | −3.53886e6 | + | 2.04316e6i | −2.09151 | + | 1.20753i | ||||
\(311\) | 983591. | + | 2.70240e6i | 0.576652 | + | 1.58434i | 0.793786 | + | 0.608197i | \(0.208107\pi\) |
−0.217135 | + | 0.976142i | \(0.569671\pi\) | |||||||
\(312\) | 50532.5 | − | 18392.3i | 0.0293890 | − | 0.0106967i | ||||
\(313\) | −539858. | − | 95191.6i | −0.311472 | − | 0.0549209i | 0.0157271 | − | 0.999876i | \(-0.494994\pi\) |
−0.327199 | + | 0.944955i | \(0.606105\pi\) | |||||||
\(314\) | −450189. | − | 536514.i | −0.257674 | − | 0.307084i | ||||
\(315\) | −1.03413e6 | − | 1.23243e6i | −0.587217 | − | 0.699818i | ||||
\(316\) | 402317. | + | 70939.3i | 0.226647 | + | 0.0399640i | ||||
\(317\) | −2.25875e6 | + | 822118.i | −1.26247 | + | 0.459501i | −0.884596 | − | 0.466357i | \(-0.845566\pi\) |
−0.377872 | + | 0.925858i | \(0.623344\pi\) | |||||||
\(318\) | −209862. | − | 576592.i | −0.116377 | − | 0.319743i | ||||
\(319\) | 157392. | − | 90870.1i | 0.0865975 | − | 0.0499971i | ||||
\(320\) | −423850. | + | 74736.3i | −0.231386 | + | 0.0407996i | ||||
\(321\) | −734166. | − | 616038.i | −0.397678 | − | 0.333691i | ||||
\(322\) | −332514. | + | 575932.i | −0.178719 | + | 0.309550i | ||||
\(323\) | 116692. | + | 202117.i | 0.0622351 | + | 0.107794i | ||||
\(324\) | −68118.3 | + | 386318.i | −0.0360497 | + | 0.204448i | ||||
\(325\) | 807166. | + | 466018.i | 0.423892 | + | 0.244734i | ||||
\(326\) | 1.01142e6 | + | 368127.i | 0.527094 | + | 0.191847i | ||||
\(327\) | − | 527119.i | − | 0.272609i | ||||||
\(328\) | −339731. | + | 933402.i | −0.174361 | + | 0.479054i | ||||
\(329\) | 168445. | + | 955298.i | 0.0857962 | + | 0.486574i | ||||
\(330\) | 178209. | − | 149535.i | 0.0900834 | − | 0.0755889i | ||||
\(331\) | 2.20543e6 | − | 2.62833e6i | 1.10643 | − | 1.31859i | 0.163144 | − | 0.986602i | \(-0.447837\pi\) |
0.943284 | − | 0.331987i | \(-0.107719\pi\) | |||||||
\(332\) | −57854.6 | −0.0288066 | ||||||||
\(333\) | −1.10818e6 | − | 1.15334e6i | −0.547648 | − | 0.569963i | ||||
\(334\) | 1.23140e6 | 0.603996 | ||||||||
\(335\) | 1.71033e6 | − | 2.03829e6i | 0.832661 | − | 0.992327i | ||||
\(336\) | 111558. | − | 93608.6i | 0.0539081 | − | 0.0452343i | ||||
\(337\) | 699604. | + | 3.96765e6i | 0.335566 | + | 1.90309i | 0.421574 | + | 0.906794i | \(0.361478\pi\) |
−0.0860077 | + | 0.996294i | \(0.527411\pi\) | |||||||
\(338\) | 488992. | − | 1.34350e6i | 0.232815 | − | 0.639653i | ||||
\(339\) | − | 561261.i | − | 0.265256i | ||||||
\(340\) | −1.94273e6 | − | 707097.i | −0.911415 | − | 0.331728i | ||||
\(341\) | −653050. | − | 377039.i | −0.304131 | − | 0.175590i | ||||
\(342\) | −25320.0 | + | 143597.i | −0.0117057 | + | 0.0663865i | ||||
\(343\) | −1.08649e6 | − | 1.88186e6i | −0.498645 | − | 0.863679i | ||||
\(344\) | −360358. | + | 624159.i | −0.164187 | + | 0.284380i | ||||
\(345\) | −1.19803e6 | − | 1.00527e6i | −0.541901 | − | 0.454709i | ||||
\(346\) | −1.23727e6 | + | 218163.i | −0.555613 | + | 0.0979696i | ||||
\(347\) | −801198. | + | 462572.i | −0.357204 | + | 0.206232i | −0.667854 | − | 0.744293i | \(-0.732787\pi\) |
0.310650 | + | 0.950524i | \(0.399453\pi\) | |||||||
\(348\) | 91505.8 | + | 251410.i | 0.0405043 | + | 0.111285i | ||||
\(349\) | −1.16297e6 | + | 423288.i | −0.511100 | + | 0.186025i | −0.584680 | − | 0.811264i | \(-0.698780\pi\) |
0.0735797 | + | 0.997289i | \(0.476558\pi\) | |||||||
\(350\) | 2.48569e6 | + | 438294.i | 1.08462 | + | 0.191247i | ||||
\(351\) | 234983. | + | 280041.i | 0.101805 | + | 0.121326i | ||||
\(352\) | −51051.9 | − | 60841.3i | −0.0219611 | − | 0.0261723i | ||||
\(353\) | −186430. | − | 32872.6i | −0.0796304 | − | 0.0140410i | 0.133691 | − | 0.991023i | \(-0.457317\pi\) |
−0.213321 | + | 0.976982i | \(0.568428\pi\) | |||||||
\(354\) | 150857. | − | 54907.5i | 0.0639820 | − | 0.0232876i | ||||
\(355\) | −2.42222e6 | − | 6.65500e6i | −1.02010 | − | 2.80270i | ||||
\(356\) | −1.27801e6 | + | 737861.i | −0.534454 | + | 0.308567i | ||||
\(357\) | 688916. | − | 121474.i | 0.286085 | − | 0.0504446i | ||||
\(358\) | −1.25514e6 | − | 1.05319e6i | −0.517587 | − | 0.434307i | ||||
\(359\) | −980406. | + | 1.69811e6i | −0.401486 | + | 0.695393i | −0.993905 | − | 0.110236i | \(-0.964839\pi\) |
0.592420 | + | 0.805629i | \(0.298173\pi\) | |||||||
\(360\) | −645832. | − | 1.11861e6i | −0.262641 | − | 0.454908i | ||||
\(361\) | 423715. | − | 2.40301e6i | 0.171122 | − | 0.970482i | ||||
\(362\) | 606988. | + | 350445.i | 0.243449 | + | 0.140556i | ||||
\(363\) | −1.03965e6 | − | 378401.i | −0.414114 | − | 0.150725i | ||||
\(364\) | 150173.i | 0.0594073i | ||||||||
\(365\) | −1.53583e6 | + | 4.21966e6i | −0.603408 | + | 1.65785i | ||||
\(366\) | 31824.8 | + | 180487.i | 0.0124183 | + | 0.0704277i | ||||
\(367\) | −891623. | + | 748160.i | −0.345554 | + | 0.289954i | −0.799002 | − | 0.601329i | \(-0.794638\pi\) |
0.453448 | + | 0.891283i | \(0.350194\pi\) | |||||||
\(368\) | −343202. | + | 409012.i | −0.132108 | + | 0.157441i | ||||
\(369\) | −2.98106e6 | −1.13974 | ||||||||
\(370\) | 3.47988e6 | + | 374584.i | 1.32148 | + | 0.142248i | ||||
\(371\) | 1.71353e6 | 0.646333 | ||||||||
\(372\) | 713558. | − | 850386.i | 0.267345 | − | 0.318609i | ||||
\(373\) | 3.54470e6 | − | 2.97436e6i | 1.31919 | − | 1.10693i | 0.332714 | − | 0.943028i | \(-0.392036\pi\) |
0.986476 | − | 0.163904i | \(-0.0524088\pi\) | |||||||
\(374\) | −66249.2 | − | 375718.i | −0.0244907 | − | 0.138894i | ||||
\(375\) | −1.22867e6 | + | 3.37574e6i | −0.451188 | + | 1.23963i | ||||
\(376\) | 778806.i | 0.284092i | ||||||||
\(377\) | −259255. | − | 94361.3i | −0.0939452 | − | 0.0341933i | ||||
\(378\) | 857358. | + | 494996.i | 0.308626 | + | 0.178185i | ||||
\(379\) | 150397. | − | 852946.i | 0.0537827 | − | 0.305017i | −0.946036 | − | 0.324062i | \(-0.894951\pi\) |
0.999819 | + | 0.0190450i | \(0.00606259\pi\) | |||||||
\(380\) | −159535. | − | 276323.i | −0.0566758 | − | 0.0981654i | ||||
\(381\) | −1.08157e6 | + | 1.87333e6i | −0.381717 | + | 0.661153i | ||||
\(382\) | −1.26617e6 | − | 1.06244e6i | −0.443948 | − | 0.372517i | ||||
\(383\) | 4.32808e6 | − | 763157.i | 1.50764 | − | 0.265838i | 0.642079 | − | 0.766639i | \(-0.278072\pi\) |
0.865563 | + | 0.500801i | \(0.166961\pi\) | |||||||
\(384\) | 101256. | − | 58460.2i | 0.0350423 | − | 0.0202317i | ||||
\(385\) | 222195. | + | 610477.i | 0.0763982 | + | 0.209902i | ||||
\(386\) | 3.44099e6 | − | 1.25242e6i | 1.17548 | − | 0.427840i | ||||
\(387\) | −2.13012e6 | − | 375598.i | −0.722981 | − | 0.127481i | ||||
\(388\) | −90443.1 | − | 107786.i | −0.0304997 | − | 0.0363482i | ||||
\(389\) | −1.90918e6 | − | 2.27527e6i | −0.639695 | − | 0.762358i | 0.344627 | − | 0.938740i | \(-0.388005\pi\) |
−0.984322 | + | 0.176381i | \(0.943561\pi\) | |||||||
\(390\) | −347791. | − | 61324.9i | −0.115786 | − | 0.0204162i | ||||
\(391\) | −2.41010e6 | + | 877204.i | −0.797246 | + | 0.290174i | ||||
\(392\) | −228799. | − | 628621.i | −0.0752038 | − | 0.206621i | ||||
\(393\) | −999719. | + | 577188.i | −0.326510 | + | 0.188511i | ||||
\(394\) | −2.36325e6 | + | 416705.i | −0.766953 | + | 0.135235i | ||||
\(395\) | −2.05519e6 | − | 1.72451e6i | −0.662764 | − | 0.556125i | ||||
\(396\) | 119180. | − | 206425.i | 0.0381913 | − | 0.0661493i | ||||
\(397\) | 2.99565e6 | + | 5.18861e6i | 0.953925 | + | 1.65225i | 0.736808 | + | 0.676102i | \(0.236332\pi\) |
0.217117 | + | 0.976146i | \(0.430335\pi\) | |||||||
\(398\) | −271290. | + | 1.53856e6i | −0.0858472 | + | 0.486864i | ||||
\(399\) | 93498.4 | + | 53981.3i | 0.0294017 | + | 0.0169751i | ||||
\(400\) | 1.90425e6 | + | 693089.i | 0.595077 | + | 0.216590i | ||||
\(401\) | 5.00402e6i | 1.55403i | 0.629484 | + | 0.777013i | \(0.283266\pi\) | ||||
−0.629484 | + | 0.777013i | \(0.716734\pi\) | |||||||
\(402\) | −247226. | + | 679247.i | −0.0763007 | + | 0.209634i | ||||
\(403\) | 198782. | + | 1.12735e6i | 0.0609698 | + | 0.345777i | ||||
\(404\) | −1.01619e6 | + | 852688.i | −0.309758 | + | 0.259918i | ||||
\(405\) | 1.65593e6 | − | 1.97346e6i | 0.501654 | − | 0.597848i | ||||
\(406\) | −747145. | −0.224952 | ||||||||
\(407\) | 261219. | + | 590694.i | 0.0781662 | + | 0.176757i | ||||
\(408\) | 561638. | 0.167034 | ||||||||
\(409\) | 1.64226e6 | − | 1.95717e6i | 0.485438 | − | 0.578522i | −0.466613 | − | 0.884461i | \(-0.654526\pi\) |
0.952051 | + | 0.305939i | \(0.0989705\pi\) | |||||||
\(410\) | 4.99710e6 | − | 4.19307e6i | 1.46811 | − | 1.23189i | ||||
\(411\) | −140830. | − | 798689.i | −0.0411237 | − | 0.233224i | ||||
\(412\) | −1.03668e6 | + | 2.84826e6i | −0.300886 | + | 0.826679i | ||||
\(413\) | 448320.i | 0.129334i | ||||||||
\(414\) | −1.50576e6 | − | 548053.i | −0.431773 | − | 0.157153i | ||||
\(415\) | 329041. | + | 189972.i | 0.0937841 | + | 0.0541463i | ||||
\(416\) | −20936.6 | + | 118737.i | −0.00593160 | + | 0.0336398i | ||||
\(417\) | −1.13609e6 | − | 1.96777e6i | −0.319944 | − | 0.554160i | ||||
\(418\) | 29440.1 | − | 50991.8i | 0.00824136 | − | 0.0142745i | ||||
\(419\) | −2.28965e6 | − | 1.92124e6i | −0.637139 | − | 0.534623i | 0.265999 | − | 0.963973i | \(-0.414298\pi\) |
−0.903138 | + | 0.429350i | \(0.858743\pi\) | |||||||
\(420\) | −941848. | + | 166073.i | −0.260530 | + | 0.0459385i | ||||
\(421\) | −5.62080e6 | + | 3.24517e6i | −1.54558 | + | 0.892343i | −0.547113 | + | 0.837059i | \(0.684273\pi\) |
−0.998471 | + | 0.0552848i | \(0.982393\pi\) | |||||||
\(422\) | −871344. | − | 2.39400e6i | −0.238182 | − | 0.654399i | ||||
\(423\) | −2.19636e6 | + | 799410.i | −0.596833 | + | 0.217229i | ||||
\(424\) | 1.35483e6 | + | 238893.i | 0.365990 | + | 0.0645340i | ||||
\(425\) | 6.25707e6 | + | 7.45689e6i | 1.68035 | + | 2.00256i | ||||
\(426\) | 1.23668e6 | + | 1.47382e6i | 0.330168 | + | 0.393479i | ||||
\(427\) | −504028. | − | 88873.7i | −0.133778 | − | 0.0235887i | ||||
\(428\) | 2.01918e6 | − | 734923.i | 0.532803 | − | 0.193924i | ||||
\(429\) | −22289.5 | − | 61240.0i | −0.00584734 | − | 0.0160654i | ||||
\(430\) | 4.09898e6 | − | 2.36655e6i | 1.06907 | − | 0.617226i | ||||
\(431\) | −2.11819e6 | + | 373495.i | −0.549253 | + | 0.0968482i | −0.441386 | − | 0.897317i | \(-0.645513\pi\) |
−0.107867 | + | 0.994165i | \(0.534402\pi\) | |||||||
\(432\) | 608874. | + | 510906.i | 0.156970 | + | 0.131714i | ||||
\(433\) | 1.68478e6 | − | 2.91812e6i | 0.431840 | − | 0.747968i | −0.565192 | − | 0.824959i | \(-0.691198\pi\) |
0.997032 | + | 0.0769910i | \(0.0245313\pi\) | |||||||
\(434\) | 1.55003e6 | + | 2.68473e6i | 0.395017 | + | 0.684189i | ||||
\(435\) | 305104. | − | 1.73033e6i | 0.0773082 | − | 0.438436i | ||||
\(436\) | 1.02350e6 | + | 590920.i | 0.257853 | + | 0.148872i | ||||
\(437\) | −371958. | − | 135382.i | −0.0931730 | − | 0.0339122i | ||||
\(438\) | − | 1.21989e6i | − | 0.303833i | ||||||
\(439\) | 558683. | − | 1.53497e6i | 0.138358 | − | 0.380136i | −0.851091 | − | 0.525019i | \(-0.824058\pi\) |
0.989449 | + | 0.144883i | \(0.0462806\pi\) | |||||||
\(440\) | 90572.3 | + | 513661.i | 0.0223030 | + | 0.126487i | ||||
\(441\) | 1.53796e6 | − | 1.29050e6i | 0.376573 | − | 0.315982i | ||||
\(442\) | −372279. | + | 443665.i | −0.0906386 | + | 0.108019i | ||||
\(443\) | 723445. | 0.175144 | 0.0875721 | − | 0.996158i | \(-0.472089\pi\) | ||||
0.0875721 | + | 0.996158i | \(0.472089\pi\) | |||||||
\(444\) | −923143. | + | 227706.i | −0.222235 | + | 0.0548171i | ||||
\(445\) | 9.69139e6 | 2.31999 | ||||||||
\(446\) | 378366. | − | 450919.i | 0.0900688 | − | 0.107340i | ||||
\(447\) | 2.12896e6 | − | 1.78641e6i | 0.503964 | − | 0.422876i | ||||
\(448\) | 56698.1 | + | 321551.i | 0.0133467 | + | 0.0756928i | ||||
\(449\) | −694348. | + | 1.90771e6i | −0.162540 | + | 0.446576i | −0.994049 | − | 0.108936i | \(-0.965256\pi\) |
0.831508 | + | 0.555512i | \(0.187478\pi\) | |||||||
\(450\) | 6.08171e6i | 1.41578i | ||||||||
\(451\) | 1.13118e6 | + | 411717.i | 0.261874 | + | 0.0953142i | ||||
\(452\) | 1.08980e6 | + | 629194.i | 0.250899 | + | 0.144857i | ||||
\(453\) | 661282. | − | 3.75032e6i | 0.151405 | − | 0.858662i | ||||
\(454\) | −227493. | − | 394029.i | −0.0517997 | − | 0.0897198i | ||||
\(455\) | 493111. | − | 854093.i | 0.111665 | − | 0.193409i | ||||
\(456\) | 66400.2 | + | 55716.4i | 0.0149540 | + | 0.0125479i | ||||
\(457\) | −938622. | + | 165504.i | −0.210233 | + | 0.0370697i | −0.277773 | − | 0.960647i | \(-0.589596\pi\) |
0.0675398 | + | 0.997717i | \(0.478485\pi\) | |||||||
\(458\) | −4.63356e6 | + | 2.67519e6i | −1.03217 | + | 0.595923i | ||||
\(459\) | 1.30584e6 | + | 3.58778e6i | 0.289307 | + | 0.794865i | ||||
\(460\) | 3.29495e6 | − | 1.19927e6i | 0.726030 | − | 0.264253i | ||||
\(461\) | −1.07499e6 | − | 189550.i | −0.235588 | − | 0.0415406i | 0.0546074 | − | 0.998508i | \(-0.482609\pi\) |
−0.290196 | + | 0.956967i | \(0.593720\pi\) | |||||||
\(462\) | −113444. | − | 135197.i | −0.0247272 | − | 0.0294687i | ||||
\(463\) | −5.09970e6 | − | 6.07758e6i | −1.10558 | − | 1.31758i | −0.943710 | − | 0.330773i | \(-0.892690\pi\) |
−0.161874 | − | 0.986811i | \(-0.551754\pi\) | |||||||
\(464\) | −590743. | − | 104164.i | −0.127381 | − | 0.0224606i | ||||
\(465\) | −6.85061e6 | + | 2.49342e6i | −1.46925 | + | 0.534764i | ||||
\(466\) | 322547. | + | 886190.i | 0.0688062 | + | 0.189044i | ||||
\(467\) | −1.40935e6 | + | 813691.i | −0.299039 | + | 0.172650i | −0.642011 | − | 0.766695i | \(-0.721900\pi\) |
0.342972 | + | 0.939346i | \(0.388566\pi\) | |||||||
\(468\) | −356348. | + | 62833.9i | −0.0752074 | + | 0.0132611i | ||||
\(469\) | −1.54634e6 | − | 1.29753e6i | −0.324617 | − | 0.272386i | ||||
\(470\) | 2.55729e6 | − | 4.42936e6i | 0.533993 | − | 0.924904i | ||||
\(471\) | −624752. | − | 1.08210e6i | −0.129764 | − | 0.224758i | ||||
\(472\) | −62502.9 | + | 354472.i | −0.0129135 | + | 0.0732363i | ||||
\(473\) | 756413. | + | 436715.i | 0.155456 | + | 0.0897523i | ||||
\(474\) | 684877. | + | 249275.i | 0.140013 | + | 0.0509604i | ||||
\(475\) | 1.50232e6i | 0.305512i | ||||||||
\(476\) | −536434. | + | 1.47384e6i | −0.108517 | + | 0.298149i | ||||
\(477\) | 716954. | + | 4.06605e6i | 0.144276 | + | 0.818233i | ||||
\(478\) | 3.50427e6 | − | 2.94043e6i | 0.701500 | − | 0.588629i | ||||
\(479\) | −4.27906e6 | + | 5.09958e6i | −0.852137 | + | 1.01554i | 0.147512 | + | 0.989060i | \(0.452873\pi\) |
−0.999649 | + | 0.0264773i | \(0.991571\pi\) | |||||||
\(480\) | −767841. | −0.152114 | ||||||||
\(481\) | 432026. | − | 880169.i | 0.0851426 | − | 0.173462i | ||||
\(482\) | −3.04800e6 | −0.597582 | ||||||||
\(483\) | −762638. | + | 908876.i | −0.148748 | + | 0.177271i | ||||
\(484\) | 1.90022e6 | − | 1.59448e6i | 0.368715 | − | 0.309389i | ||||
\(485\) | 160457. | + | 909998.i | 0.0309746 | + | 0.175665i | ||||
\(486\) | −1.27153e6 | + | 3.49351e6i | −0.244195 | + | 0.670920i | ||||
\(487\) | − | 5.55086e6i | − | 1.06057i | −0.847820 | − | 0.530283i | \(-0.822085\pi\) | ||
0.847820 | − | 0.530283i | \(-0.177915\pi\) | |||||||
\(488\) | −386127. | − | 140539.i | −0.0733975 | − | 0.0267145i | ||||
\(489\) | 1.66298e6 | + | 960122.i | 0.314496 | + | 0.181574i | ||||
\(490\) | −762877. | + | 4.32649e6i | −0.143537 | + | 0.814040i | ||||
\(491\) | 2.25368e6 | + | 3.90349e6i | 0.421880 | + | 0.730717i | 0.996123 | − | 0.0879672i | \(-0.0280371\pi\) |
−0.574243 | + | 0.818685i | \(0.694704\pi\) | |||||||
\(492\) | −886060. | + | 1.53470e6i | −0.165025 | + | 0.285832i | ||||
\(493\) | −2.20733e6 | − | 1.85217e6i | −0.409025 | − | 0.343213i | ||||
\(494\) | −88026.2 | + | 15521.4i | −0.0162291 | + | 0.00286163i | ||||
\(495\) | −1.35564e6 | + | 782679.i | −0.248675 | + | 0.143572i | ||||
\(496\) | 851262. | + | 2.33882e6i | 0.155367 | + | 0.426868i | ||||
\(497\) | −5.04876e6 | + | 1.83760e6i | −0.916841 | + | 0.333703i | ||||
\(498\) | −101648. | − | 17923.3i | −0.0183665 | − | 0.00323851i | ||||
\(499\) | 4.40767e6 | + | 5.25286e6i | 0.792425 | + | 0.944375i | 0.999423 | − | 0.0339664i | \(-0.0108139\pi\) |
−0.206998 | + | 0.978341i | \(0.566369\pi\) | |||||||
\(500\) | −5.17727e6 | − | 6.17003e6i | −0.926138 | − | 1.10373i | ||||
\(501\) | 2.16353e6 | + | 381488.i | 0.385095 | + | 0.0679026i | ||||
\(502\) | −1.80571e6 | + | 657224.i | −0.319807 | + | 0.116400i | ||||
\(503\) | −2.56640e6 | − | 7.05111e6i | −0.452276 | − | 1.24262i | −0.931118 | − | 0.364717i | \(-0.881166\pi\) |
0.478842 | − | 0.877901i | \(-0.341057\pi\) | |||||||
\(504\) | −848627. | + | 489955.i | −0.148813 | + | 0.0859172i | ||||
\(505\) | 8.57937e6 | − | 1.51277e6i | 1.49702 | − | 0.263965i | ||||
\(506\) | 495679. | + | 415924.i | 0.0860645 | + | 0.0722167i | ||||
\(507\) | 1.27535e6 | − | 2.20898e6i | 0.220349 | − | 0.381655i | ||||
\(508\) | −2.42496e6 | − | 4.20015e6i | −0.416912 | − | 0.722113i | ||||
\(509\) | −655618. | + | 3.71820e6i | −0.112165 | + | 0.636118i | 0.875950 | + | 0.482402i | \(0.160235\pi\) |
−0.988115 | + | 0.153717i | \(0.950876\pi\) | |||||||
\(510\) | −3.19425e6 | − | 1.84420e6i | −0.543805 | − | 0.313966i | ||||
\(511\) | 3.20121e6 | + | 1.16515e6i | 0.542328 | + | 0.197391i | ||||
\(512\) | 262144.i | 0.0441942i | ||||||||
\(513\) | −201535. | + | 553713.i | −0.0338109 | + | 0.0928947i | ||||
\(514\) | 96629.9 | + | 548015.i | 0.0161326 | + | 0.0914924i | ||||
\(515\) | 1.52486e7 | − | 1.27951e7i | 2.53344 | − | 2.12581i | ||||
\(516\) | −826498. | + | 984983.i | −0.136653 | + | 0.162856i | ||||
\(517\) | 943830. | 0.155298 | ||||||||
\(518\) | 284175. | − | 2.63998e6i | 0.0465331 | − | 0.432291i | ||||
\(519\) | −2.24141e6 | −0.365261 | ||||||||
\(520\) | 508960. | − | 606555.i | 0.0825421 | − | 0.0983698i | ||||
\(521\) | −1.23143e6 | + | 1.03329e6i | −0.198753 | + | 0.166774i | −0.736732 | − | 0.676184i | \(-0.763632\pi\) |
0.537979 | + | 0.842958i | \(0.319188\pi\) | |||||||
\(522\) | −312612. | − | 1.77291e6i | −0.0502145 | − | 0.284781i | ||||
\(523\) | 2.28943e6 | − | 6.29016e6i | 0.365994 | − | 1.00556i | −0.610877 | − | 0.791726i | \(-0.709183\pi\) |
0.976870 | − | 0.213833i | \(-0.0685949\pi\) | |||||||
\(524\) | − | 2.58819e6i | − | 0.411783i | ||||||
\(525\) | 4.23147e6 | + | 1.54013e6i | 0.670028 | + | 0.243870i | ||||
\(526\) | −2.01754e6 | − | 1.16483e6i | −0.317950 | − | 0.183569i | ||||
\(527\) | −2.07610e6 | + | 1.17742e7i | −0.325628 | + | 1.84673i | ||||
\(528\) | −70847.5 | − | 122711.i | −0.0110596 | − | 0.0191558i | ||||
\(529\) | −1.04319e6 | + | 1.80686e6i | −0.162079 | + | 0.280728i | ||||
\(530\) | −6.92099e6 | − | 5.80740e6i | −1.07023 | − | 0.898032i | ||||
\(531\) | −1.06382e6 | + | 187581.i | −0.163732 | + | 0.0288704i | ||||
\(532\) | −209630. | + | 121030.i | −0.0321126 | + | 0.0185402i | ||||
\(533\) | −625014. | − | 1.71721e6i | −0.0952954 | − | 0.261822i | ||||
\(534\) | −2.47401e6 | + | 900465.i | −0.375446 | + | 0.136651i | ||||
\(535\) | −1.38970e7 | − | 2.45042e6i | −2.09912 | − | 0.370132i | ||||
\(536\) | −1.04174e6 | − | 1.24150e6i | −0.156620 | − | 0.186652i | ||||
\(537\) | −1.87895e6 | − | 2.23924e6i | −0.281177 | − | 0.335093i | ||||
\(538\) | 1.64048e6 | + | 289261.i | 0.244352 | + | 0.0430859i | ||||
\(539\) | −761822. | + | 277280.i | −0.112949 | + | 0.0411100i | ||||
\(540\) | −1.78528e6 | − | 4.90501e6i | −0.263464 | − | 0.723862i | ||||
\(541\) | −5.33632e6 | + | 3.08093e6i | −0.783879 | + | 0.452573i | −0.837803 | − | 0.545972i | \(-0.816160\pi\) |
0.0539242 | + | 0.998545i | \(0.482827\pi\) | |||||||
\(542\) | −1.11888e6 | + | 197289.i | −0.163601 | + | 0.0288473i | ||||
\(543\) | 957885. | + | 803761.i | 0.139416 | + | 0.116984i | ||||
\(544\) | −629617. | + | 1.09053e6i | −0.0912177 | + | 0.157994i | ||||
\(545\) | −3.88070e6 | − | 6.72157e6i | −0.559653 | − | 0.969347i | ||||
\(546\) | −46523.6 | + | 263849.i | −0.00667870 | + | 0.0378768i | ||||
\(547\) | 9.18093e6 | + | 5.30061e6i | 1.31195 | + | 0.757457i | 0.982419 | − | 0.186687i | \(-0.0597750\pi\) |
0.329534 | + | 0.944144i | \(0.393108\pi\) | |||||||
\(548\) | 1.70868e6 | + | 621910.i | 0.243058 | + | 0.0884660i | ||||
\(549\) | − | 1.23320e6i | − | 0.174623i | ||||||
\(550\) | 839950. | − | 2.30774e6i | 0.118399 | − | 0.325297i | ||||
\(551\) | −77222.3 | − | 437949.i | −0.0108359 | − | 0.0614533i | ||||
\(552\) | −729704. | + | 612294.i | −0.101929 | + | 0.0855288i | ||||
\(553\) | −1.30828e6 | + | 1.55915e6i | −0.181924 | + | 0.216808i | ||||
\(554\) | −1.69158e6 | −0.234162 | ||||||||
\(555\) | 5.99796e6 | + | 1.73619e6i | 0.826553 | + | 0.239257i | ||||
\(556\) | 5.09441e6 | 0.698887 | ||||||||
\(557\) | −1.68666e6 | + | 2.01008e6i | −0.230351 | + | 0.274521i | −0.868822 | − | 0.495124i | \(-0.835123\pi\) |
0.638471 | + | 0.769645i | \(0.279567\pi\) | |||||||
\(558\) | −5.72208e6 | + | 4.80140e6i | −0.777980 | + | 0.652803i | ||||
\(559\) | −230245. | − | 1.30578e6i | −0.0311645 | − | 0.176743i | ||||
\(560\) | 733383. | − | 2.01495e6i | 0.0988236 | − | 0.271516i | ||||
\(561\) | − | 680645.i | − | 0.0913090i | ||||||
\(562\) | 6.58163e6 | + | 2.39552e6i | 0.879008 | + | 0.319933i | ||||
\(563\) | −3.50429e6 | − | 2.02320e6i | −0.465938 | − | 0.269010i | 0.248600 | − | 0.968606i | \(-0.420030\pi\) |
−0.714538 | + | 0.699597i | \(0.753363\pi\) | |||||||
\(564\) | −241274. | + | 1.36833e6i | −0.0319383 | + | 0.181131i | ||||
\(565\) | −4.13205e6 | − | 7.15693e6i | −0.544559 | − | 0.943204i | ||||
\(566\) | −4.44528e6 | + | 7.69946e6i | −0.583255 | + | 1.01023i | ||||
\(567\) | −1.49715e6 | − | 1.25626e6i | −0.195573 | − | 0.164105i | ||||
\(568\) | −4.24808e6 | + | 749051.i | −0.552486 | + | 0.0974183i | ||||
\(569\) | 5.82280e6 | − | 3.36179e6i | 0.753964 | − | 0.435302i | −0.0731601 | − | 0.997320i | \(-0.523308\pi\) |
0.827125 | + | 0.562019i | \(0.189975\pi\) | |||||||
\(570\) | −194692. | − | 534912.i | −0.0250993 | − | 0.0689597i | ||||
\(571\) | 9.78009e6 | − | 3.55966e6i | 1.25531 | − | 0.456897i | 0.373120 | − | 0.927783i | \(-0.378288\pi\) |
0.882194 | + | 0.470886i | \(0.156066\pi\) | |||||||
\(572\) | 143897. | + | 25372.9i | 0.0183891 | + | 0.00324250i | ||||
\(573\) | −1.89546e6 | − | 2.25892e6i | −0.241173 | − | 0.287418i | ||||
\(574\) | −3.18104e6 | − | 3.79101e6i | −0.402985 | − | 0.480259i | ||||
\(575\) | −1.62589e7 | − | 2.86688e6i | −2.05079 | − | 0.361610i | ||||
\(576\) | −739289. | + | 269079.i | −0.0928449 | + | 0.0337928i | ||||
\(577\) | 1.59186e6 | + | 4.37359e6i | 0.199051 | + | 0.546889i | 0.998553 | − | 0.0537750i | \(-0.0171254\pi\) |
−0.799502 | + | 0.600664i | \(0.794903\pi\) | |||||||
\(578\) | −319926. | + | 184710.i | −0.0398318 | + | 0.0229969i | ||||
\(579\) | 6.43369e6 | − | 1.13443e6i | 0.797560 | − | 0.140631i | ||||
\(580\) | 3.01774e6 | + | 2.53219e6i | 0.372488 | + | 0.312554i | ||||
\(581\) | 144120. | − | 249624.i | 0.0177127 | − | 0.0306793i | ||||
\(582\) | −125513. | − | 217395.i | −0.0153596 | − | 0.0266037i | ||||
\(583\) | 289513. | − | 1.64191e6i | 0.0352774 | − | 0.200068i | ||||
\(584\) | 2.36865e6 | + | 1.36754e6i | 0.287388 | + | 0.165924i | ||||
\(585\) | 2.23301e6 | + | 812749.i | 0.269774 | + | 0.0981899i | ||||
\(586\) | 5.34313e6i | 0.642764i | ||||||||
\(587\) | −2.01582e6 | + | 5.53842e6i | −0.241466 | + | 0.663423i | 0.758465 | + | 0.651713i | \(0.225949\pi\) |
−0.999931 | + | 0.0117093i | \(0.996273\pi\) | |||||||
\(588\) | −207245. | − | 1.17534e6i | −0.0247195 | − | 0.140191i | ||||
\(589\) | −1.41349e6 | + | 1.18605e6i | −0.167882 | + | 0.140869i | ||||
\(590\) | 1.51942e6 | − | 1.81078e6i | 0.179700 | − | 0.214158i | ||||
\(591\) | −4.28123e6 | −0.504196 | ||||||||
\(592\) | 592743. | − | 2.04773e6i | 0.0695124 | − | 0.240142i | ||||
\(593\) | 18706.5 | 0.00218452 | 0.00109226 | − | 0.999999i | \(-0.499652\pi\) | ||||
0.00109226 | + | 0.999999i | \(0.499652\pi\) | |||||||
\(594\) | 619163. | − | 737890.i | 0.0720010 | − | 0.0858075i | ||||
\(595\) | 7.89041e6 | − | 6.62084e6i | 0.913707 | − | 0.766692i | ||||
\(596\) | 1.08202e6 | + | 6.13643e6i | 0.124773 | + | 0.707620i | ||||
\(597\) | −953291. | + | 2.61915e6i | −0.109469 | + | 0.300763i | ||||
\(598\) | − | 982285.i | − | 0.112327i | ||||||
\(599\) | 1.08527e7 | + | 3.95007e6i | 1.23587 | + | 0.449819i | 0.875603 | − | 0.483031i | \(-0.160464\pi\) |
0.360264 | + | 0.932850i | \(0.382686\pi\) | |||||||
\(600\) | 3.13096e6 | + | 1.80766e6i | 0.355059 | + | 0.204993i | ||||
\(601\) | 2.31972e6 | − | 1.31558e7i | 0.261969 | − | 1.48570i | −0.515559 | − | 0.856854i | \(-0.672416\pi\) |
0.777529 | − | 0.628847i | \(-0.216473\pi\) | |||||||
\(602\) | −1.79536e6 | − | 3.10966e6i | −0.201912 | − | 0.349721i | ||||
\(603\) | 2.43192e6 | − | 4.21222e6i | 0.272368 | − | 0.471756i | ||||
\(604\) | 6.54064e6 | + | 5.48825e6i | 0.729504 | + | 0.612127i | ||||
\(605\) | −1.60429e7 | + | 2.82880e6i | −1.78195 | + | 0.314205i | ||||
\(606\) | −2.04957e6 | + | 1.18332e6i | −0.226716 | + | 0.130894i | ||||
\(607\) | −3.59041e6 | − | 9.86457e6i | −0.395523 | − | 1.08669i | −0.964441 | − | 0.264297i | \(-0.914860\pi\) |
0.568918 | − | 0.822394i | \(-0.307362\pi\) | |||||||
\(608\) | −182621. | + | 66468.7i | −0.0200351 | + | 0.00729219i | ||||
\(609\) | −1.31270e6 | − | 231465.i | −0.143425 | − | 0.0252896i | ||||
\(610\) | 1.73458e6 | + | 2.06719e6i | 0.188742 | + | 0.224934i | ||||
\(611\) | −920984. | − | 1.09759e6i | −0.0998042 | − | 0.118942i | ||||
\(612\) | −3.72174e6 | − | 656243.i | −0.401668 | − | 0.0708250i | ||||
\(613\) | 1.32698e7 | − | 4.82983e6i | 1.42631 | − | 0.519135i | 0.490440 | − | 0.871475i | \(-0.336836\pi\) |
0.935872 | + | 0.352340i | \(0.114614\pi\) | |||||||
\(614\) | 2.96774e6 | + | 8.15381e6i | 0.317691 | + | 0.872850i | ||||
\(615\) | 1.00787e7 | − | 5.81895e6i | 1.07453 | − | 0.620378i | ||||
\(616\) | 389685. | − | 68712.0i | 0.0413773 | − | 0.00729593i | ||||
\(617\) | 1.35556e7 | + | 1.13745e7i | 1.43353 | + | 1.20287i | 0.943589 | + | 0.331120i | \(0.107426\pi\) |
0.489942 | + | 0.871755i | \(0.337018\pi\) | |||||||
\(618\) | −2.70380e6 | + | 4.68311e6i | −0.284776 | + | 0.493246i | ||||
\(619\) | −2.88870e6 | − | 5.00337e6i | −0.303023 | − | 0.524851i | 0.673796 | − | 0.738917i | \(-0.264663\pi\) |
−0.976819 | + | 0.214066i | \(0.931329\pi\) | |||||||
\(620\) | 2.83833e6 | − | 1.60970e7i | 0.296540 | − | 1.68176i | ||||
\(621\) | −5.60798e6 | − | 3.23777e6i | −0.583549 | − | 0.336912i | ||||
\(622\) | −1.08096e7 | − | 3.93437e6i | −1.12030 | − | 0.407754i | ||||
\(623\) | − | 7.35229e6i | − | 0.758932i | ||||||
\(624\) | −73569.4 | + | 202130.i | −0.00756372 | + | 0.0207812i | ||||
\(625\) | 4.88958e6 | + | 2.77302e7i | 0.500693 | + | 2.83957i | ||||
\(626\) | 1.67974e6 | − | 1.40947e6i | 0.171319 | − | 0.143754i | ||||
\(627\) | 67522.3 | − | 80470.0i | 0.00685928 | − | 0.00817457i | ||||
\(628\) | 2.80148e6 | 0.283458 | ||||||||
\(629\) | 7.38405e6 | − | 7.09496e6i | 0.744163 | − | 0.715029i | ||||
\(630\) | 6.43528e6 | 0.645976 | ||||||||
\(631\) | −8.10889e6 | + | 9.66380e6i | −0.810752 | + | 0.966216i | −0.999876 | − | 0.0157368i | \(-0.994991\pi\) |
0.189124 | + | 0.981953i | \(0.439435\pi\) | |||||||
\(632\) | −1.25179e6 | + | 1.05037e6i | −0.124663 | + | 0.104605i | ||||
\(633\) | −789257. | − | 4.47610e6i | −0.0782905 | − | 0.444007i | ||||
\(634\) | 3.28847e6 | − | 9.03501e6i | 0.324916 | − | 0.892700i | ||||
\(635\) | 3.18504e7i | 3.13459i | ||||||||
\(636\) | 2.30637e6 | + | 839450.i | 0.226093 | + | 0.0822909i | ||||
\(637\) | 1.06583e6 | + | 615359.i | 0.104074 | + | 0.0600869i | ||||
\(638\) | −126235. | + | 715917.i | −0.0122781 | + | 0.0696323i | ||||
\(639\) | −6.47291e6 | − | 1.12114e7i | −0.627115 | − | 1.08620i | ||||
\(640\) | 860778. | − | 1.49091e6i | 0.0830694 | − | 0.143880i | ||||
\(641\) | 2.19543e6 | + | 1.84219e6i | 0.211045 | + | 0.177088i | 0.742182 | − | 0.670198i | \(-0.233791\pi\) |
−0.531137 | + | 0.847286i | \(0.678235\pi\) | |||||||
\(642\) | 3.77530e6 | − | 665687.i | 0.361505 | − | 0.0637430i | ||||
\(643\) | −7.05991e6 | + | 4.07604e6i | −0.673398 | + | 0.388787i | −0.797363 | − | 0.603500i | \(-0.793772\pi\) |
0.123965 | + | 0.992287i | \(0.460439\pi\) | |||||||
\(644\) | −909813. | − | 2.49969e6i | −0.0864445 | − | 0.237504i | ||||
\(645\) | 7.93490e6 | − | 2.88807e6i | 0.751004 | − | 0.273343i | ||||
\(646\) | −919355. | − | 162107.i | −0.0866766 | − | 0.0152834i | ||||
\(647\) | 8.20897e6 | + | 9.78306e6i | 0.770953 | + | 0.918786i | 0.998487 | − | 0.0549844i | \(-0.0175109\pi\) |
−0.227535 | + | 0.973770i | \(0.573066\pi\) | |||||||
\(648\) | −1.00860e6 | − | 1.20201e6i | −0.0943590 | − | 0.112453i | ||||
\(649\) | 429582. | + | 75746.9i | 0.0400345 | + | 0.00705916i | ||||
\(650\) | −3.50331e6 | + | 1.27510e6i | −0.325233 | + | 0.118375i | ||||
\(651\) | 1.89161e6 | + | 5.19716e6i | 0.174936 | + | 0.480633i | ||||
\(652\) | −3.72852e6 | + | 2.15266e6i | −0.343493 | + | 0.198316i | ||||
\(653\) | −6.34990e6 | + | 1.11966e6i | −0.582753 | + | 0.102755i | −0.457250 | − | 0.889338i | \(-0.651165\pi\) |
−0.125503 | + | 0.992093i | \(0.540054\pi\) | |||||||
\(654\) | 1.61519e6 | + | 1.35530e6i | 0.147665 | + | 0.123906i | ||||
\(655\) | −8.49861e6 | + | 1.47200e7i | −0.774007 | + | 1.34062i | ||||
\(656\) | −1.98661e6 | − | 3.44091e6i | −0.180241 | − | 0.312186i | ||||
\(657\) | −1.42537e6 | + | 8.08370e6i | −0.128830 | + | 0.730629i | ||||
\(658\) | −3.36030e6 | − | 1.94007e6i | −0.302561 | − | 0.174684i | ||||
\(659\) | −1.48871e6 | − | 541846.i | −0.133535 | − | 0.0486029i | 0.274388 | − | 0.961619i | \(-0.411525\pi\) |
−0.407923 | + | 0.913016i | \(0.633747\pi\) | |||||||
\(660\) | 930541.i | 0.0831526i | ||||||||
\(661\) | −6.88862e6 | + | 1.89263e7i | −0.613237 | + | 1.68486i | 0.109720 | + | 0.993963i | \(0.465004\pi\) |
−0.722957 | + | 0.690893i | \(0.757218\pi\) | |||||||
\(662\) | 2.38317e6 | + | 1.35156e7i | 0.211354 | + | 1.19865i | ||||
\(663\) | −791527. | + | 664170.i | −0.0699329 | + | 0.0586807i | ||||
\(664\) | 148753. | − | 177277.i | 0.0130932 | − | 0.0156038i | ||||
\(665\) | 1.58966e6 | 0.139396 | ||||||||
\(666\) | 6.38334e6 | − | 430267.i | 0.557651 | − | 0.0375883i | ||||
\(667\) | 4.88708e6 | 0.425339 | ||||||||
\(668\) | −3.16612e6 | + | 3.77324e6i | −0.274528 | + | 0.327170i | ||||
\(669\) | 804467. | − | 675028.i | 0.0694933 | − | 0.0583118i | ||||
\(670\) | 1.84818e6 | + | 1.04815e7i | 0.159058 | + | 0.902064i | ||||
\(671\) | −170318. | + | 467945.i | −0.0146034 | + | 0.0401225i | ||||
\(672\) | 582517.i | 0.0497605i | ||||||||
\(673\) | −1.87115e6 | − | 681044.i | −0.159247 | − | 0.0579612i | 0.261167 | − | 0.965294i | \(-0.415893\pi\) |
−0.420414 | + | 0.907333i | \(0.638115\pi\) | |||||||
\(674\) | −1.39564e7 | − | 8.05772e6i | −1.18338 | − | 0.683223i | ||||
\(675\) | −4.26777e6 | + | 2.42037e7i | −0.360530 | + | 2.04467i | ||||
\(676\) | 2.85944e6 | + | 4.95269e6i | 0.240665 | + | 0.416845i | ||||
\(677\) | 5.89957e6 | − | 1.02184e7i | 0.494708 | − | 0.856859i | −0.505273 | − | 0.862959i | \(-0.668608\pi\) |
0.999981 | + | 0.00610001i | \(0.00194171\pi\) | |||||||
\(678\) | 1.71980e6 | + | 1.44309e6i | 0.143683 | + | 0.120564i | ||||
\(679\) | 690363. | − | 121730.i | 0.0574650 | − | 0.0101326i | ||||
\(680\) | 7.16173e6 | − | 4.13483e6i | 0.593944 | − | 0.342914i | ||||
\(681\) | −277625. | − | 762769.i | −0.0229399 | − | 0.0630268i | ||||
\(682\) | 2.83440e6 | − | 1.03164e6i | 0.233346 | − | 0.0849311i | ||||
\(683\) | 1.37298e7 | + | 2.42093e6i | 1.12619 | + | 0.198578i | 0.705557 | − | 0.708654i | \(-0.250697\pi\) |
0.420633 | + | 0.907231i | \(0.361808\pi\) | |||||||
\(684\) | −374905. | − | 446794.i | −0.0306395 | − | 0.0365147i | ||||
\(685\) | −7.67582e6 | − | 9.14769e6i | −0.625027 | − | 0.744878i | ||||
\(686\) | 8.55990e6 | + | 1.50934e6i | 0.694478 | + | 0.122455i | ||||
\(687\) | −8.96975e6 | + | 3.26472e6i | −0.725084 | + | 0.263909i | ||||
\(688\) | −985998. | − | 2.70901e6i | −0.0794154 | − | 0.218192i | ||||
\(689\) | −2.19189e6 | + | 1.26549e6i | −0.175902 | + | 0.101557i | ||||
\(690\) | 6.16063e6 | − | 1.08629e6i | 0.492609 | − | 0.0868603i | ||||
\(691\) | 1.30882e7 | + | 1.09823e7i | 1.04276 | + | 0.874983i | 0.992314 | − | 0.123744i | \(-0.0394900\pi\) |
0.0504500 | + | 0.998727i | \(0.483934\pi\) | |||||||
\(692\) | 2.51270e6 | − | 4.35213e6i | 0.199469 | − | 0.345491i | ||||
\(693\) | 593773. | + | 1.02845e6i | 0.0469664 | + | 0.0813483i | ||||
\(694\) | 642598. | − | 3.64436e6i | 0.0506455 | − | 0.287225i | ||||
\(695\) | −2.89738e7 | − | 1.67281e7i | −2.27533 | − | 1.31366i | ||||
\(696\) | −1.00564e6 | − | 366023.i | −0.0786901 | − | 0.0286408i | ||||
\(697\) | − | 1.90858e7i | − | 1.48808i | ||||||
\(698\) | 1.69315e6 | − | 4.65189e6i | 0.131540 | − | 0.361402i | ||||
\(699\) | 292160. | + | 1.65692e6i | 0.0226167 | + | 0.128265i | ||||
\(700\) | −7.73409e6 | + | 6.48967e6i | −0.596574 | + | 0.500585i | ||||
\(701\) | −1.09623e7 | + | 1.30644e7i | −0.842572 | + | 1.00414i | 0.157291 | + | 0.987552i | \(0.449724\pi\) |
−0.999862 | + | 0.0165853i | \(0.994720\pi\) | |||||||
\(702\) | −1.46227e6 | −0.111992 | ||||||||
\(703\) | 1.57683e6 | − | 106286.i | 0.120336 | − | 0.00811124i | ||||
\(704\) | 317690. | 0.0241586 | ||||||||
\(705\) | 5.86527e6 | − | 6.98996e6i | 0.444442 | − | 0.529666i | ||||
\(706\) | 580067. | − | 486734.i | 0.0437992 | − | 0.0367519i | ||||
\(707\) | −1.14765e6 | − | 6.50867e6i | −0.0863500 | − | 0.489715i | ||||
\(708\) | −219630. | + | 603429.i | −0.0164668 | + | 0.0452421i | ||||
\(709\) | − | 1.48896e7i | − | 1.11242i | −0.831043 | − | 0.556208i | \(-0.812256\pi\) | ||
0.831043 | − | 0.556208i | \(-0.187744\pi\) | |||||||
\(710\) | 2.66200e7 | + | 9.68889e6i | 1.98181 | + | 0.721320i | ||||
\(711\) | −4.24713e6 | − | 2.45208e6i | −0.315081 | − | 0.181912i | ||||
\(712\) | 1.02503e6 | − | 5.81321e6i | 0.0757766 | − | 0.429750i | ||||
\(713\) | −1.01387e7 | − | 1.75608e7i | −0.746896 | − | 1.29366i | ||||
\(714\) | −1.39909e6 | + | 2.42329e6i | −0.102707 | + | 0.177893i | ||||
\(715\) | −735080. | − | 616805.i | −0.0537736 | − | 0.0451214i | ||||
\(716\) | 6.45429e6 | − | 1.13807e6i | 0.470507 | − | 0.0829631i | ||||
\(717\) | 7.06781e6 | − | 4.08060e6i | 0.513436 | − | 0.296433i | ||||
\(718\) | −2.68255e6 | − | 7.37024e6i | −0.194194 | − | 0.533545i | ||||
\(719\) | 1.20102e7 | − | 4.37137e6i | 0.866421 | − | 0.315352i | 0.129704 | − | 0.991553i | \(-0.458597\pi\) |
0.736717 | + | 0.676201i | \(0.236375\pi\) | |||||||
\(720\) | 5.08816e6 | + | 897180.i | 0.365788 | + | 0.0644983i | ||||
\(721\) | −9.70688e6 | − | 1.15682e7i | −0.695411 | − | 0.828758i | ||||
\(722\) | 6.27381e6 | + | 7.47684e6i | 0.447908 | + | 0.533796i | ||||
\(723\) | −5.35521e6 | − | 944268.i | −0.381005 | − | 0.0671815i | ||||
\(724\) | −2.63448e6 | + | 958873.i | −0.186788 | + | 0.0679852i | ||||
\(725\) | −6.34390e6 | − | 1.74297e7i | −0.448240 | − | 1.23153i | ||||
\(726\) | 3.83258e6 | − | 2.21274e6i | 0.269867 | − | 0.155808i | ||||
\(727\) | 1.40815e7 | − | 2.48295e6i | 0.988128 | − | 0.174234i | 0.343849 | − | 0.939025i | \(-0.388269\pi\) |
0.644278 | + | 0.764791i | \(0.277158\pi\) | |||||||
\(728\) | −460158. | − | 386119.i | −0.0321795 | − | 0.0270018i | ||||
\(729\) | −337458. | + | 584495.i | −0.0235180 | + | 0.0407344i | ||||
\(730\) | −8.98094e6 | − | 1.55554e7i | −0.623756 | − | 1.08038i | ||||
\(731\) | 2.40470e6 | − | 1.36377e7i | 0.166444 | − | 0.943949i | ||||
\(732\) | −634871. | − | 366543.i | −0.0437933 | − | 0.0252841i | ||||
\(733\) | −1.18150e7 | − | 4.30030e6i | −0.812218 | − | 0.295623i | −0.0976782 | − | 0.995218i | \(-0.531142\pi\) |
−0.714540 | + | 0.699595i | \(0.753364\pi\) | |||||||
\(734\) | − | 4.65572e6i | − | 0.318968i | ||||||
\(735\) | −2.68069e6 | + | 7.36513e6i | −0.183032 | + | 0.502877i | ||||
\(736\) | −370862. | − | 2.10326e6i | −0.0252359 | − | 0.143120i | ||||
\(737\) | −1.50456e6 | + | 1.26248e6i | −0.102033 | + | 0.0856160i | ||||
\(738\) | 7.66477e6 | − | 9.13451e6i | 0.518034 | − | 0.617368i | ||||
\(739\) | 1.07715e7 | 0.725543 | 0.362772 | − | 0.931878i | \(-0.381831\pi\) | ||||
0.362772 | + | 0.931878i | \(0.381831\pi\) | |||||||
\(740\) | −1.00951e7 | + | 9.69985e6i | −0.677689 | + | 0.651157i | ||||
\(741\) | −159467. | −0.0106690 | ||||||||
\(742\) | −4.40574e6 | + | 5.25055e6i | −0.293771 | + | 0.350103i | ||||
\(743\) | −7.91001e6 | + | 6.63729e6i | −0.525660 | + | 0.441081i | −0.866600 | − | 0.499004i | \(-0.833699\pi\) |
0.340940 | + | 0.940085i | \(0.389255\pi\) | |||||||
\(744\) | 771067. | + | 4.37294e6i | 0.0510693 | + | 0.289628i | ||||
\(745\) | 1.39958e7 | − | 3.84531e7i | 0.923861 | − | 2.53829i | ||||
\(746\) | 1.85091e7i | 1.21769i | ||||||||
\(747\) | 652637. | + | 237541.i | 0.0427928 | + | 0.0155753i | ||||
\(748\) | 1.32160e6 | + | 763028.i | 0.0863669 | + | 0.0498639i | ||||
\(749\) | −1.85900e6 | + | 1.05429e7i | −0.121080 | + | 0.686681i | ||||
\(750\) | −7.18478e6 | − | 1.24444e7i | −0.466402 | − | 0.807832i | ||||
\(751\) | −7.85340e6 | + | 1.36025e7i | −0.508110 | + | 0.880073i | 0.491846 | + | 0.870682i | \(0.336322\pi\) |
−0.999956 | + | 0.00939026i | \(0.997011\pi\) | |||||||
\(752\) | −2.38640e6 | − | 2.00243e6i | −0.153886 | − | 0.129126i | ||||
\(753\) | −3.37617e6 | + | 595309.i | −0.216988 | + | 0.0382609i | ||||
\(754\) | 955725. | − | 551788.i | 0.0612216 | − | 0.0353463i | ||||
\(755\) | −1.91778e7 | − | 5.26906e7i | −1.22442 | − | 3.36408i | ||||
\(756\) | −3.72115e6 | + | 1.35439e6i | −0.236795 | + | 0.0861864i | ||||
\(757\) | 7.10629e6 | + | 1.25303e6i | 0.450716 | + | 0.0794734i | 0.394399 | − | 0.918939i | \(-0.370953\pi\) |
0.0563177 | + | 0.998413i | \(0.482064\pi\) | |||||||
\(758\) | 2.22688e6 | + | 2.65390e6i | 0.140775 | + | 0.167769i | ||||
\(759\) | 742035. | + | 884323.i | 0.0467541 | + | 0.0557194i | ||||
\(760\) | 1.25689e6 | + | 221624.i | 0.0789340 | + | 0.0139182i | ||||
\(761\) | −1.76257e7 | + | 6.41521e6i | −1.10327 | + | 0.401559i | −0.828522 | − | 0.559956i | \(-0.810818\pi\) |
−0.274752 | + | 0.961515i | \(0.588596\pi\) | |||||||
\(762\) | −2.95935e6 | − | 8.13074e6i | −0.184633 | − | 0.507274i | ||||
\(763\) | −5.09926e6 | + | 2.94406e6i | −0.317100 | + | 0.183078i | ||||
\(764\) | 6.51101e6 | − | 1.14807e6i | 0.403566 | − | 0.0711596i | ||||
\(765\) | 1.90121e7 | + | 1.59530e7i | 1.17456 | + | 0.985575i | ||||
\(766\) | −8.78969e6 | + | 1.52242e7i | −0.541255 | + | 0.937480i | ||||
\(767\) | −331097. | − | 573477.i | −0.0203220 | − | 0.0351988i | ||||
\(768\) | −81212.0 | + | 460576.i | −0.00496841 | + | 0.0281772i | ||||
\(769\) | 9.08110e6 | + | 5.24298e6i | 0.553762 | + | 0.319714i | 0.750638 | − | 0.660714i | \(-0.229746\pi\) |
−0.196876 | + | 0.980428i | \(0.563080\pi\) | |||||||
\(770\) | −2.44191e6 | − | 888782.i | −0.148423 | − | 0.0540217i | ||||
\(771\) | 992776.i | 0.0601472i | ||||||||
\(772\) | −5.00968e6 | + | 1.37640e7i | −0.302529 | + | 0.831191i | ||||
\(773\) | 178892. | + | 1.01454e6i | 0.0107682 | + | 0.0610692i | 0.989718 | − | 0.143030i | \(-0.0456846\pi\) |
−0.978950 | + | 0.204099i | \(0.934573\pi\) | |||||||
\(774\) | 6.62776e6 | − | 5.56135e6i | 0.397662 | − | 0.333678i | ||||
\(775\) | −4.94694e7 | + | 5.89553e7i | −2.95857 | + | 3.52589i | ||||
\(776\) | 562818. | 0.0335516 | ||||||||
\(777\) | 1.31715e6 | − | 4.55030e6i | 0.0782676 | − | 0.270388i | ||||
\(778\) | 1.18806e7 | 0.703704 | ||||||||
\(779\) | 1.89337e6 | − | 2.25643e6i | 0.111787 | − | 0.133223i | ||||
\(780\) | 1.08213e6 | − | 908017.i | 0.0636860 | − | 0.0534389i | ||||
\(781\) | 907769. | + | 5.14822e6i | 0.0532535 | + | 0.302015i | ||||
\(782\) | 3.50881e6 | − | 9.64039e6i | 0.205184 | − | 0.563738i | ||||
\(783\) | − | 7.27512e6i | − | 0.424068i | ||||||
\(784\) | 2.51449e6 | + | 915198.i | 0.146103 | + | 0.0531771i | ||||
\(785\) | −1.59331e7 | − | 9.19896e6i | −0.922837 | − | 0.532800i | ||||
\(786\) | 801821. | − | 4.54735e6i | 0.0462936 | − | 0.262544i | ||||
\(787\) | 1.28654e7 | + | 2.22835e7i | 0.740432 | + | 1.28247i | 0.952299 | + | 0.305167i | \(0.0987124\pi\) |
−0.211867 | + | 0.977299i | \(0.567954\pi\) | |||||||
\(788\) | 4.79941e6 | − | 8.31282e6i | 0.275342 | − | 0.476906i | ||||
\(789\) | −3.18388e6 | − | 2.67159e6i | −0.182081 | − | 0.152784i | ||||
\(790\) | 1.05684e7 | − | 1.86349e6i | 0.602479 | − | 0.106233i | ||||
\(791\) | −5.42955e6 | + | 3.13475e6i | −0.308548 | + | 0.178140i | ||||
\(792\) | 326095. | + | 895939.i | 0.0184727 | + | 0.0507534i | ||||
\(793\) | 710372. | − | 258554.i | 0.0401146 | − | 0.0146005i | ||||
\(794\) | −2.36011e7 | − | 4.16151e6i | −1.32856 | − | 0.234261i | ||||
\(795\) | −1.03608e7 | − | 1.23475e7i | −0.581399 | − | 0.692884i | ||||
\(796\) | −4.01690e6 | − | 4.78716e6i | −0.224703 | − | 0.267790i | ||||
\(797\) | −6.32979e6 | − | 1.11611e6i | −0.352974 | − | 0.0622389i | −0.00565026 | − | 0.999984i | \(-0.501799\pi\) |
−0.347324 | + | 0.937745i | \(0.612910\pi\) | |||||||
\(798\) | −405807. | + | 147702.i | −0.0225586 | + | 0.00821066i | ||||
\(799\) | −5.11808e6 | − | 1.40618e7i | −0.283622 | − | 0.779246i | ||||
\(800\) | −7.01985e6 | + | 4.05291e6i | −0.387796 | + | 0.223894i | ||||
\(801\) | 1.74464e7 | − | 3.07626e6i | 0.960779 | − | 0.169411i | ||||
\(802\) | −1.53332e7 | − | 1.28661e7i | −0.841778 | − | 0.706335i | ||||
\(803\) | 1.65731e6 | − | 2.87055e6i | 0.0907018 | − | 0.157100i | ||||
\(804\) | −1.44568e6 | − | 2.50399e6i | −0.0788736 | − | 0.136613i | ||||
\(805\) | −3.03356e6 | + | 1.72041e7i | −0.164992 | + | 0.935715i | ||||
\(806\) | −3.96550e6 | − | 2.28948e6i | −0.215011 | − | 0.124136i | ||||
\(807\) | 2.79265e6 | + | 1.01644e6i | 0.150950 | + | 0.0549412i | ||||
\(808\) | − | 5.30619e6i | − | 0.285926i | ||||||
\(809\) | −3.52772e6 | + | 9.69233e6i | −0.189506 | + | 0.520663i | −0.997665 | − | 0.0683014i | \(-0.978242\pi\) |
0.808159 | + | 0.588965i | \(0.200464\pi\) | |||||||
\(810\) | 1.78939e6 | + | 1.01481e7i | 0.0958280 | + | 0.543467i | ||||
\(811\) | 642986. | − | 539530.i | 0.0343281 | − | 0.0288047i | −0.625462 | − | 0.780254i | \(-0.715090\pi\) |
0.659790 | + | 0.751450i | \(0.270645\pi\) | |||||||
\(812\) | 1.92102e6 | − | 2.28939e6i | 0.102245 | − | 0.121851i | ||||
\(813\) | −2.02695e6 | −0.107552 | ||||||||
\(814\) | −2.48162e6 | − | 718341.i | −0.131273 | − | 0.0379988i | ||||
\(815\) | 2.82740e7 | 1.49105 | ||||||||
\(816\) | −1.44406e6 | + | 1.72096e6i | −0.0759204 | + | 0.0904784i | ||||
\(817\) | 1.63721e6 | − | 1.37378e6i | 0.0858121 | − | 0.0720049i | ||||
\(818\) | 1.77462e6 | + | 1.00643e7i | 0.0927302 | + | 0.525899i | ||||
\(819\) | 616585. | − | 1.69405e6i | 0.0321206 | − | 0.0882506i | ||||
\(820\) | 2.60930e7i | 1.35516i | ||||||||
\(821\) | 2.49188e7 | + | 9.06970e6i | 1.29024 | + | 0.469608i | 0.893805 | − | 0.448457i | \(-0.148026\pi\) |
0.396432 | + | 0.918064i | \(0.370248\pi\) | |||||||
\(822\) | 2.80942e6 | + | 1.62202e6i | 0.145023 | + | 0.0837292i | ||||
\(823\) | −694452. | + | 3.93843e6i | −0.0357390 | + | 0.202686i | −0.997449 | − | 0.0713833i | \(-0.977259\pi\) |
0.961710 | + | 0.274069i | \(0.0883698\pi\) | |||||||
\(824\) | −6.06211e6 | − | 1.04999e7i | −0.311033 | − | 0.538724i | ||||
\(825\) | 2.19069e6 | − | 3.79439e6i | 0.112059 | − | 0.194092i | ||||
\(826\) | −1.37373e6 | − | 1.15270e6i | −0.0700571 | − | 0.0587849i | ||||
\(827\) | 3.03542e7 | − | 5.35227e6i | 1.54332 | − | 0.272128i | 0.663769 | − | 0.747938i | \(-0.268956\pi\) |
0.879548 | + | 0.475809i | \(0.157845\pi\) | |||||||
\(828\) | 5.55087e6 | − | 3.20480e6i | 0.281375 | − | 0.162452i | ||||
\(829\) | −5.86726e6 | − | 1.61202e7i | −0.296517 | − | 0.814672i | −0.995075 | − | 0.0991199i | \(-0.968397\pi\) |
0.698559 | − | 0.715552i | \(-0.253825\pi\) | |||||||
\(830\) | −1.42812e6 | + | 519793.i | −0.0719564 | + | 0.0261900i | ||||
\(831\) | −2.97203e6 | − | 524049.i | −0.149297 | − | 0.0263250i | ||||
\(832\) | −310001. | − | 369444.i | −0.0155258 | − | 0.0185029i | ||||
\(833\) | 8.26223e6 | + | 9.84654e6i | 0.412558 | + | 0.491667i | ||||
\(834\) | 8.95068e6 | + | 1.57825e6i | 0.445595 | + | 0.0785705i | ||||
\(835\) | 3.03968e7 | − | 1.10635e7i | 1.50873 | − | 0.549132i | ||||
\(836\) | 80552.9 | + | 221317.i | 0.00398626 | + | 0.0109522i | ||||
\(837\) | −2.61418e7 | + | 1.50930e7i | −1.28980 | + | 0.744666i | ||||
\(838\) | 1.17741e7 | − | 2.07609e6i | 0.579184 | − | 0.102126i | ||||
\(839\) | 2.39326e7 | + | 2.00819e7i | 1.17378 | + | 0.984916i | 1.00000 | 0.000130692i | \(4.16005e-5\pi\) | |
0.173777 | + | 0.984785i | \(0.444403\pi\) | |||||||
\(840\) | 1.91276e6 | − | 3.31299e6i | 0.0935322 | − | 0.162003i | ||||
\(841\) | −7.51031e6 | − | 1.30082e7i | −0.366158 | − | 0.634203i | ||||
\(842\) | 4.50814e6 | − | 2.55669e7i | 0.219138 | − | 1.24279i | ||||
\(843\) | 1.08215e7 | + | 6.24781e6i | 0.524469 | + | 0.302802i | ||||
\(844\) | 9.57599e6 | + | 3.48537e6i | 0.462730 | + | 0.168420i | ||||
\(845\) | − | 3.75571e7i | − | 1.80946i | ||||||
\(846\) | 3.19764e6 | − | 8.78544e6i | 0.153604 | − | 0.422024i | ||||
\(847\) | 2.14605e6 | + | 1.21708e7i | 0.102785 | + | 0.582923i | ||||
\(848\) | −4.21548e6 | + | 3.53721e6i | −0.201306 | + | 0.168916i | ||||
\(849\) | −1.01955e7 | + | 1.21505e7i | −0.485443 | + | 0.578528i | ||||
\(850\) | −3.89371e7 | −1.84849 | ||||||||
\(851\) | −1.85879e6 | + | 1.72681e7i | −0.0879846 | + | 0.817375i | ||||
\(852\) | −7.69576e6 | −0.363205 | ||||||||
\(853\) | 6.67484e6 | − | 7.95476e6i | 0.314100 | − | 0.374330i | −0.585778 | − | 0.810472i | \(-0.699211\pi\) |
0.899878 | + | 0.436142i | \(0.143655\pi\) | |||||||
\(854\) | 1.56826e6 | − | 1.31592e6i | 0.0735821 | − | 0.0617427i | ||||
\(855\) | 665128. | + | 3.77213e6i | 0.0311164 | + | 0.176470i | ||||
\(856\) | −2.93969e6 | + | 8.07673e6i | −0.137125 | + | 0.376748i | ||||
\(857\) | 2.00260e7i | 0.931414i | 0.884939 | + | 0.465707i | \(0.154200\pi\) | ||||
−0.884939 | + | 0.465707i | \(0.845800\pi\) | |||||||
\(858\) | 244960. | + | 89158.2i | 0.0113600 | + | 0.00413469i | ||||
\(859\) | 1.50433e7 | + | 8.68528e6i | 0.695603 | + | 0.401607i | 0.805708 | − | 0.592313i | \(-0.201785\pi\) |
−0.110105 | + | 0.993920i | \(0.535119\pi\) | |||||||
\(860\) | −3.28758e6 | + | 1.86448e7i | −0.151576 | + | 0.859629i | ||||
\(861\) | −4.41450e6 | − | 7.64614e6i | −0.202943 | − | 0.351507i | ||||
\(862\) | 4.30174e6 | − | 7.45084e6i | 0.197186 | − | 0.341536i | ||||
\(863\) | 1.97051e7 | + | 1.65346e7i | 0.900643 | + | 0.755729i | 0.970316 | − | 0.241841i | \(-0.0777511\pi\) |
−0.0696729 | + | 0.997570i | \(0.522196\pi\) | |||||||
\(864\) | −3.13101e6 | + | 552082.i | −0.142692 | + | 0.0251605i | ||||
\(865\) | −2.85814e7 | + | 1.65015e7i | −1.29880 | + | 0.749864i | ||||
\(866\) | 4.60982e6 | + | 1.26654e7i | 0.208876 | + | 0.573883i | ||||
\(867\) | −619320. | + | 225414.i | −0.0279813 | + | 0.0101844i | ||||
\(868\) | −1.22118e7 | − | 2.15328e6i | −0.550151 | − | 0.0970065i | ||||
\(869\) | 1.27294e6 | + | 1.51703e6i | 0.0571819 | + | 0.0681468i | ||||
\(870\) | 4.51758e6 | + | 5.38384e6i | 0.202352 | + | 0.241154i | ||||
\(871\) | 2.93629e6 | + | 517746.i | 0.131145 | + | 0.0231245i | ||||
\(872\) | −4.44226e6 | + | 1.61685e6i | −0.197840 | + | 0.0720077i | ||||
\(873\) | 577708. | + | 1.58724e6i | 0.0256550 | + | 0.0704866i | ||||
\(874\) | 1.37119e6 | − | 791658.i | 0.0607183 | − | 0.0350557i | ||||
\(875\) | 3.95187e7 | − | 6.96822e6i | 1.74495 | − | 0.307682i | ||||
\(876\) | 3.73796e6 | + | 3.13652e6i | 0.164579 | + | 0.138098i | ||||
\(877\) | −1.18898e6 | + | 2.05938e6i | −0.0522007 | + | 0.0904143i | −0.890945 | − | 0.454111i | \(-0.849957\pi\) |
0.838744 | + | 0.544525i | \(0.183290\pi\) | |||||||
\(878\) | 3.26696e6 | + | 5.65854e6i | 0.143024 | + | 0.247724i | ||||
\(879\) | −1.65530e6 | + | 9.38766e6i | −0.0722610 | + | 0.409812i | ||||
\(880\) | −1.80682e6 | − | 1.04317e6i | −0.0786519 | − | 0.0454097i | ||||
\(881\) | 695623. | + | 253186.i | 0.0301949 | + | 0.0109901i | 0.357073 | − | 0.934076i | \(-0.383775\pi\) |
−0.326879 | + | 0.945066i | \(0.605997\pi\) | |||||||
\(882\) | 8.03067e6i | 0.347600i | ||||||||
\(883\) | 1.35676e6 | − | 3.72766e6i | 0.0585599 | − | 0.160892i | −0.906963 | − | 0.421211i | \(-0.861605\pi\) |
0.965523 | + | 0.260318i | \(0.0838276\pi\) | |||||||
\(884\) | −402283. | − | 2.28146e6i | −0.0173141 | − | 0.0981934i | ||||
\(885\) | 3.23054e6 | − | 2.71075e6i | 0.138649 | − | 0.116340i | ||||
\(886\) | −1.86008e6 | + | 2.21676e6i | −0.0796065 | + | 0.0948713i | ||||
\(887\) | −2.52256e7 | −1.07654 | −0.538272 | − | 0.842771i | \(-0.680923\pi\) | ||||
−0.538272 | + | 0.842771i | \(0.680923\pi\) | |||||||
\(888\) | 1.67581e6 | − | 3.41414e6i | 0.0713169 | − | 0.145294i | ||||
\(889\) | 2.41631e7 | 1.02541 | ||||||||
\(890\) | −2.49180e7 | + | 2.96961e7i | −1.05448 | + | 1.25668i | ||||
\(891\) | −1.45670e6 | + | 1.22232e6i | −0.0614720 | + | 0.0515811i | ||||
\(892\) | 408860. | + | 2.31876e6i | 0.0172053 | + | 0.0975761i | ||||
\(893\) | 789890. | − | 2.17020e6i | 0.0331465 | − | 0.0910693i | ||||
\(894\) | 1.11167e7i | 0.465190i | ||||||||
\(895\) | −4.04449e7 | − | 1.47208e7i | −1.68774 | − | 0.614289i | ||||
\(896\) | −1.13107e6 | − | 653022.i | −0.0470672 | − | 0.0271743i | ||||
\(897\) | 304311. | − | 1.72583e6i | 0.0126281 | − | 0.0716173i | ||||
\(898\) | −4.06028e6 | − | 7.03261e6i | −0.168022 | − | 0.291022i | ||||
\(899\) | 1.13907e7 | − | 1.97292e7i | 0.470056 | − | 0.814161i | ||||
\(900\) | −1.86354e7 | − | 1.56370e7i | −0.766891 | − | 0.643498i | ||||
\(901\) | −2.60322e7 | + | 4.59018e6i | −1.06831 | + | 0.188372i | ||||
\(902\) | −4.17002e6 | + | 2.40756e6i | −0.170656 | + | 0.0985283i | ||||
\(903\) | −2.19101e6 | − | 6.01975e6i | −0.0894180 | − | 0.245674i | ||||
\(904\) | −4.73000e6 | + | 1.72158e6i | −0.192504 | + | 0.0700657i | ||||
\(905\) | 1.81318e7 | + | 3.19713e6i | 0.735903 | + | 0.129760i | ||||
\(906\) | 9.79138e6 | + | 1.16689e7i | 0.396299 | + | 0.472291i | ||||
\(907\) | −2.05588e7 | − | 2.45010e7i | −0.829812 | − | 0.988931i | −0.999994 | − | 0.00351835i | \(-0.998880\pi\) |
0.170182 | − | 0.985413i | \(-0.445564\pi\) | |||||||
\(908\) | 1.79229e6 | + | 316029.i | 0.0721430 | + | 0.0127207i | ||||
\(909\) | 1.49643e7 | − | 5.44657e6i | 0.600685 | − | 0.218632i | ||||
\(910\) | 1.34923e6 | + | 3.70698e6i | 0.0540110 | + | 0.148394i | ||||
\(911\) | 1.63006e7 | − | 9.41117e6i | 0.650741 | − | 0.375705i | −0.137999 | − | 0.990432i | \(-0.544067\pi\) |
0.788740 | + | 0.614727i | \(0.210734\pi\) | |||||||
\(912\) | −341450. | + | 60206.8i | −0.0135938 | + | 0.00239695i | ||||
\(913\) | −214840. | − | 180272.i | −0.00852980 | − | 0.00715735i | ||||
\(914\) | 1.90620e6 | − | 3.30164e6i | 0.0754751 | − | 0.130727i | ||||
\(915\) | 2.40717e6 | + | 4.16933e6i | 0.0950503 | + | 0.164632i | ||||
\(916\) | 3.71633e6 | − | 2.10764e7i | 0.146344 | − | 0.829959i | ||||
\(917\) | 1.11672e7 | + | 6.44741e6i | 0.438553 | + | 0.253199i | ||||
\(918\) | −1.43511e7 | − | 5.22338e6i | −0.562055 | − | 0.204571i | ||||
\(919\) | 4.13215e7i | 1.61394i | 0.590591 | + | 0.806971i | \(0.298895\pi\) | ||||
−0.590591 | + | 0.806971i | \(0.701105\pi\) | |||||||
\(920\) | −4.79706e6 | + | 1.31798e7i | −0.186855 | + | 0.513381i | ||||
\(921\) | 2.68816e6 | + | 1.52453e7i | 0.104425 | + | 0.592226i | ||||
\(922\) | 3.34479e6 | − | 2.80661e6i | 0.129581 | − | 0.108731i | ||||
\(923\) | 5.10110e6 | − | 6.07925e6i | 0.197088 | − | 0.234880i | ||||
\(924\) | 705948. | 0.0272015 | ||||||||
\(925\) | 6.39994e7 | − | 1.57863e7i | 2.45936 | − | 0.606633i | ||||
\(926\) | 3.17349e7 | 1.21621 | ||||||||
\(927\) | 2.33889e7 | − | 2.78738e7i | 0.893944 | − | 1.06536i | ||||
\(928\) | 1.83807e6 | − | 1.54232e6i | 0.0700634 | − | 0.0587901i | ||||
\(929\) | −1.23691e6 | − | 7.01487e6i | −0.0470218 | − | 0.266674i | 0.952229 | − | 0.305386i | \(-0.0987855\pi\) |
−0.999250 | + | 0.0387124i | \(0.987674\pi\) | |||||||
\(930\) | 9.97367e6 | − | 2.74024e7i | 0.378136 | − | 1.03892i | ||||
\(931\) | 1.98376e6i | 0.0750092i | ||||||||
\(932\) | −3.54476e6 | − | 1.29019e6i | −0.133674 | − | 0.0486534i | ||||
\(933\) | −1.77731e7 | − | 1.02613e7i | −0.668436 | − | 0.385922i | ||||
\(934\) | 1.13037e6 | − | 6.41063e6i | 0.0423987 | − | 0.240455i | ||||
\(935\) | −5.01097e6 | − | 8.67925e6i | −0.187453 | − | 0.324678i | ||||
\(936\) | 723691. | − | 1.25347e6i | 0.0270000 | − | 0.0467654i | ||||
\(937\) | 5.76231e6 | + | 4.83515e6i | 0.214411 | + | 0.179913i | 0.743668 | − | 0.668550i | \(-0.233085\pi\) |
−0.529256 | + | 0.848462i | \(0.677529\pi\) | |||||||
\(938\) | 7.95172e6 | − | 1.40210e6i | 0.295090 | − | 0.0520323i | ||||
\(939\) | 3.38789e6 | − | 1.95600e6i | 0.125391 | − | 0.0723943i | ||||
\(940\) | 6.99717e6 | + | 1.92246e7i | 0.258287 | + | 0.709638i | ||||
\(941\) | −1.15983e7 | + | 4.22145e6i | −0.426994 | + | 0.155413i | −0.546573 | − | 0.837412i | \(-0.684068\pi\) |
0.119579 | + | 0.992825i | \(0.461846\pi\) | |||||||
\(942\) | 4.92209e6 | + | 867896.i | 0.180727 | + | 0.0318670i | ||||
\(943\) | 2.08072e7 | + | 2.47970e7i | 0.761963 | + | 0.908072i | ||||
\(944\) | −925460. | − | 1.10292e6i | −0.0338008 | − | 0.0402823i | ||||
\(945\) | 2.56108e7 | + | 4.51588e6i | 0.932920 | + | 0.164499i | ||||
\(946\) | −3.28303e6 | + | 1.19492e6i | −0.119274 | + | 0.0434123i | ||||
\(947\) | 6.45724e6 | + | 1.77411e7i | 0.233976 | + | 0.642845i | 1.00000 | 3.24476e-5i | \(1.03284e-5\pi\) | |
−0.766024 | + | 0.642812i | \(0.777767\pi\) | |||||||
\(948\) | −2.52474e6 | + | 1.45766e6i | −0.0912424 | + | 0.0526788i | ||||
\(949\) | −4.95538e6 | + | 873767.i | −0.178612 | + | 0.0314942i | ||||
\(950\) | −4.60338e6 | − | 3.86269e6i | −0.165488 | − | 0.138861i | ||||
\(951\) | 8.57675e6 | − | 1.48554e7i | 0.307519 | − | 0.532638i | ||||
\(952\) | −3.13685e6 | − | 5.43319e6i | −0.112177 | − | 0.194295i | ||||
\(953\) | −830417. | + | 4.70953e6i | −0.0296186 | + | 0.167975i | −0.996029 | − | 0.0890279i | \(-0.971624\pi\) |
0.966411 | + | 0.257003i | \(0.0827351\pi\) | |||||||
\(954\) | −1.43025e7 | − | 8.25755e6i | −0.508793 | − | 0.293752i | ||||
\(955\) | −4.08004e7 | − | 1.48501e7i | −1.44762 | − | 0.526892i | ||||
\(956\) | 1.82980e7i | 0.647529i | ||||||||
\(957\) | −443581. | + | 1.21873e6i | −0.0156564 | + | 0.0430157i | ||||
\(958\) | −4.62393e6 | − | 2.62236e7i | −0.162779 | − | 0.923163i | ||||
\(959\) | −6.93982e6 | + | 5.82320e6i | −0.243670 | + | 0.204463i | ||||
\(960\) | 1.97423e6 | − | 2.35280e6i | 0.0691386 | − | 0.0823962i | ||||
\(961\) | −6.58952e7 | −2.30168 | ||||||||
\(962\) | 1.58619e6 | + | 3.58685e6i | 0.0552609 | + | 0.124961i | ||||
\(963\) | −2.57952e7 | −0.896340 | ||||||||
\(964\) | 7.83687e6 | − | 9.33961e6i | 0.271613 | − | 0.323695i | ||||
\(965\) | 7.36874e7 | − | 6.18311e7i | 2.54727 | − | 2.13741i | ||||
\(966\) | −824102. | − | 4.67371e6i | −0.0284144 | − | 0.161146i | ||||
\(967\) | −9.66870e6 | + | 2.65645e7i | −0.332508 | + | 0.913558i | 0.654950 | + | 0.755673i | \(0.272690\pi\) |
−0.987457 | + | 0.157885i | \(0.949532\pi\) | |||||||
\(968\) | 9.92226e6i | 0.340347i | ||||||||
\(969\) | −1.56505e6 | − | 569631.i | −0.0535449 | − | 0.0194888i | ||||
\(970\) | −3.20096e6 | − | 1.84807e6i | −0.109232 | − | 0.0630652i | ||||
\(971\) | −3.95571e6 | + | 2.24340e7i | −0.134641 | + | 0.763586i | 0.840468 | + | 0.541860i | \(0.182280\pi\) |
−0.975109 | + | 0.221725i | \(0.928831\pi\) | |||||||
\(972\) | −7.43542e6 | − | 1.28785e7i | −0.252429 | − | 0.437221i | ||||
\(973\) | −1.26906e7 | + | 2.19808e7i | −0.429734 | + | 0.744322i | ||||
\(974\) | 1.70088e7 | + | 1.42721e7i | 0.574483 | + | 0.482048i | ||||
\(975\) | −6.55019e6 | + | 1.15498e6i | −0.220670 | + | 0.0389100i | ||||
\(976\) | 1.42343e6 | − | 821816.i | 0.0478311 | − | 0.0276153i | ||||
\(977\) | −4.55812e6 | − | 1.25233e7i | −0.152774 | − | 0.419743i | 0.839570 | − | 0.543252i | \(-0.182807\pi\) |
−0.992343 | + | 0.123510i | \(0.960585\pi\) | |||||||
\(978\) | −7.21776e6 | + | 2.62705e6i | −0.241299 | + | 0.0878256i | ||||
\(979\) | −7.04499e6 | − | 1.24222e6i | −0.234922 | − | 0.0414231i | ||||
\(980\) | −1.12957e7 | − | 1.34617e7i | −0.375705 | − | 0.447748i | ||||
\(981\) | −9.11957e6 | − | 1.08683e7i | −0.302553 | − | 0.360569i | ||||
\(982\) | −1.77555e7 | − | 3.13078e6i | −0.587564 | − | 0.103603i | ||||
\(983\) | 1.91054e7 | − | 6.95379e6i | 0.630626 | − | 0.229529i | −0.00687793 | − | 0.999976i | \(-0.502189\pi\) |
0.637504 | + | 0.770447i | \(0.279967\pi\) | |||||||
\(984\) | −2.42440e6 | − | 6.66099e6i | −0.0798210 | − | 0.219306i | ||||
\(985\) | −5.45921e7 | + | 3.15188e7i | −1.79283 | + | 1.03509i | ||||
\(986\) | 1.13508e7 | − | 2.00144e6i | 0.371820 | − | 0.0655619i | ||||
\(987\) | −5.30288e6 | − | 4.44964e6i | −0.173268 | − | 0.145389i | ||||
\(988\) | 178768. | − | 309636.i | 0.00582637 | − | 0.0100916i | ||||
\(989\) | 1.17435e7 | + | 2.03403e7i | 0.381774 | + | 0.661252i | ||||
\(990\) | 1.08729e6 | − | 6.16631e6i | 0.0352579 | − | 0.199957i | ||||
\(991\) | −2.07661e7 | − | 1.19893e7i | −0.671693 | − | 0.387802i | 0.125025 | − | 0.992154i | \(-0.460099\pi\) |
−0.796718 | + | 0.604351i | \(0.793432\pi\) | |||||||
\(992\) | −9.35530e6 | − | 3.40505e6i | −0.301841 | − | 0.109861i | ||||
\(993\) | 2.44848e7i | 0.787993i | ||||||||
\(994\) | 7.35040e6 | − | 2.01951e7i | 0.235964 | − | 0.648304i | ||||
\(995\) | 7.12648e6 | + | 4.04163e7i | 0.228201 | + | 1.29419i | ||||
\(996\) | 316273. | − | 265384.i | 0.0101021 | − | 0.00847670i | ||||
\(997\) | −2.00074e7 | + | 2.38439e7i | −0.637459 | + | 0.759694i | −0.983967 | − | 0.178353i | \(-0.942923\pi\) |
0.346508 | + | 0.938047i | \(0.387368\pi\) | |||||||
\(998\) | −2.74285e7 | −0.871717 | ||||||||
\(999\) | 2.57061e7 | + | 2.76708e6i | 0.814934 | + | 0.0877219i |
(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 | 74.6.h.a.3.3 | ✓ | 96 | |
37.25 | even | 18 | inner | 74.6.h.a.25.3 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.6.h.a.3.3 | ✓ | 96 | 1.1 | even | 1 | trivial | |
74.6.h.a.25.3 | yes | 96 | 37.25 | even | 18 | inner |