Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,4,Mod(29,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.29");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.l (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: | \(6.72621774065\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.6 | ||
Character | \(\chi\) | \(=\) | 114.29 |
Dual form | 114.4.l.b.59.6 |
$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.347296 | + | 1.96962i | 0.122788 | + | 0.696364i | ||||
\(3\) | 0.999139 | + | 5.09919i | 0.192284 | + | 0.981339i | ||||
\(4\) | −3.75877 | + | 1.36808i | −0.469846 | + | 0.171010i | ||||
\(5\) | 2.49532 | − | 6.85584i | 0.223188 | − | 0.613205i | −0.776672 | − | 0.629905i | \(-0.783094\pi\) |
0.999861 | + | 0.0167000i | \(0.00531602\pi\) | |||||||
\(6\) | −9.69644 | + | 3.73885i | −0.659759 | + | 0.254396i | ||||
\(7\) | −13.0267 | + | 22.5629i | −0.703376 | + | 1.21828i | 0.263899 | + | 0.964550i | \(0.414992\pi\) |
−0.967275 | + | 0.253732i | \(0.918342\pi\) | |||||||
\(8\) | −4.00000 | − | 6.92820i | −0.176777 | − | 0.306186i | ||||
\(9\) | −25.0034 | + | 10.1896i | −0.926053 | + | 0.377392i | ||||
\(10\) | 14.3700 | + | 2.53382i | 0.454419 | + | 0.0801263i | ||||
\(11\) | 1.59600 | − | 0.921452i | 0.0437466 | − | 0.0252571i | −0.477967 | − | 0.878378i | \(-0.658626\pi\) |
0.521714 | + | 0.853121i | \(0.325293\pi\) | |||||||
\(12\) | −10.7316 | − | 17.7998i | −0.258163 | − | 0.428196i | ||||
\(13\) | −33.5080 | + | 39.9333i | −0.714881 | + | 0.851962i | −0.994123 | − | 0.108259i | \(-0.965472\pi\) |
0.279242 | + | 0.960221i | \(0.409917\pi\) | |||||||
\(14\) | −48.9644 | − | 17.8216i | −0.934734 | − | 0.340215i | ||||
\(15\) | 37.4524 | + | 5.87418i | 0.644678 | + | 0.101114i | ||||
\(16\) | 12.2567 | − | 10.2846i | 0.191511 | − | 0.160697i | ||||
\(17\) | −9.49454 | + | 1.67414i | −0.135457 | + | 0.0238847i | −0.240965 | − | 0.970534i | \(-0.577464\pi\) |
0.105509 | + | 0.994418i | \(0.466353\pi\) | |||||||
\(18\) | −28.7532 | − | 45.7084i | −0.376511 | − | 0.598531i | ||||
\(19\) | 27.9917 | − | 77.9453i | 0.337986 | − | 0.941151i | ||||
\(20\) | 29.1833i | 0.326280i | ||||||||
\(21\) | −128.068 | − | 43.8821i | −1.33080 | − | 0.455993i | ||||
\(22\) | 2.36919 | + | 2.82349i | 0.0229597 | + | 0.0273623i | ||||
\(23\) | −26.1337 | − | 71.8017i | −0.236924 | − | 0.650943i | −0.999989 | − | 0.00462191i | \(-0.998529\pi\) |
0.763065 | − | 0.646321i | \(-0.223693\pi\) | |||||||
\(24\) | 31.3317 | − | 27.3190i | 0.266481 | − | 0.232353i | ||||
\(25\) | 54.9796 | + | 46.1334i | 0.439837 | + | 0.369067i | ||||
\(26\) | −90.2904 | − | 52.1292i | −0.681054 | − | 0.393207i | ||||
\(27\) | −76.9406 | − | 117.316i | −0.548416 | − | 0.836206i | ||||
\(28\) | 18.0965 | − | 102.630i | 0.122140 | − | 0.692690i | ||||
\(29\) | −48.6924 | + | 276.148i | −0.311791 | + | 1.76826i | 0.277884 | + | 0.960615i | \(0.410367\pi\) |
−0.589675 | + | 0.807641i | \(0.700744\pi\) | |||||||
\(30\) | 1.43721 | + | 75.8069i | 0.00874657 | + | 0.461346i | ||||
\(31\) | 199.067 | + | 114.931i | 1.15334 | + | 0.665879i | 0.949698 | − | 0.313167i | \(-0.101390\pi\) |
0.203638 | + | 0.979046i | \(0.434723\pi\) | |||||||
\(32\) | 24.5134 | + | 20.5692i | 0.135419 | + | 0.113630i | ||||
\(33\) | 6.29329 | + | 7.21765i | 0.0331976 | + | 0.0380737i | ||||
\(34\) | −6.59484 | − | 18.1192i | −0.0332649 | − | 0.0913945i | ||||
\(35\) | 122.182 | + | 145.611i | 0.590072 | + | 0.703220i | ||||
\(36\) | 80.0420 | − | 72.5071i | 0.370565 | − | 0.335681i | ||||
\(37\) | 150.045i | 0.666682i | 0.942806 | + | 0.333341i | \(0.108176\pi\) | ||||
−0.942806 | + | 0.333341i | \(0.891824\pi\) | |||||||
\(38\) | 163.244 | + | 28.0627i | 0.696885 | + | 0.119799i | ||||
\(39\) | −237.106 | − | 130.965i | −0.973524 | − | 0.537721i | ||||
\(40\) | −57.4799 | + | 10.1353i | −0.227209 | + | 0.0400632i | ||||
\(41\) | −170.197 | + | 142.812i | −0.648298 | + | 0.543987i | −0.906554 | − | 0.422090i | \(-0.861297\pi\) |
0.258256 | + | 0.966077i | \(0.416852\pi\) | |||||||
\(42\) | 41.9534 | − | 267.485i | 0.154132 | − | 0.982710i | ||||
\(43\) | −71.9175 | − | 26.1758i | −0.255054 | − | 0.0928321i | 0.211329 | − | 0.977415i | \(-0.432221\pi\) |
−0.466383 | + | 0.884583i | \(0.654443\pi\) | |||||||
\(44\) | −4.73838 | + | 5.64699i | −0.0162350 | + | 0.0193481i | ||||
\(45\) | 7.46661 | + | 196.846i | 0.0247346 | + | 0.652090i | ||||
\(46\) | 132.346 | − | 76.4098i | 0.424202 | − | 0.244913i | ||||
\(47\) | 499.385 | + | 88.0551i | 1.54985 | + | 0.273280i | 0.882084 | − | 0.471093i | \(-0.156140\pi\) |
0.667764 | + | 0.744373i | \(0.267251\pi\) | |||||||
\(48\) | 64.6893 | + | 52.2235i | 0.194523 | + | 0.157038i | ||||
\(49\) | −167.890 | − | 290.794i | −0.489475 | − | 0.847795i | ||||
\(50\) | −71.7708 | + | 124.311i | −0.202999 | + | 0.351604i | ||||
\(51\) | −18.0231 | − | 46.7417i | −0.0494852 | − | 0.128336i | ||||
\(52\) | 71.3169 | − | 195.942i | 0.190190 | − | 0.522543i | ||||
\(53\) | 418.944 | − | 152.483i | 1.08578 | − | 0.395192i | 0.263725 | − | 0.964598i | \(-0.415049\pi\) |
0.822056 | + | 0.569406i | \(0.192827\pi\) | |||||||
\(54\) | 204.347 | − | 192.287i | 0.514965 | − | 0.484573i | ||||
\(55\) | −2.33479 | − | 13.2413i | −0.00572406 | − | 0.0324627i | ||||
\(56\) | 208.427 | 0.497362 | ||||||||
\(57\) | 425.425 | + | 64.8566i | 0.988578 | + | 0.150710i | ||||
\(58\) | −560.816 | −1.26963 | ||||||||
\(59\) | 98.7105 | + | 559.815i | 0.217814 | + | 1.23528i | 0.875957 | + | 0.482390i | \(0.160231\pi\) |
−0.658143 | + | 0.752893i | \(0.728658\pi\) | |||||||
\(60\) | −148.811 | + | 29.1582i | −0.320191 | + | 0.0627385i | ||||
\(61\) | −30.5529 | + | 11.1204i | −0.0641295 | + | 0.0233412i | −0.373886 | − | 0.927475i | \(-0.621975\pi\) |
0.309756 | + | 0.950816i | \(0.399753\pi\) | |||||||
\(62\) | −157.235 | + | 432.000i | −0.322079 | + | 0.884904i | ||||
\(63\) | 95.8054 | − | 696.887i | 0.191593 | − | 1.39364i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 190.163 | + | 329.372i | 0.362874 | + | 0.628516i | ||||
\(66\) | −12.0304 | + | 14.9020i | −0.0224369 | + | 0.0277926i | ||||
\(67\) | 689.595 | + | 121.594i | 1.25742 | + | 0.221718i | 0.762368 | − | 0.647143i | \(-0.224036\pi\) |
0.495056 | + | 0.868861i | \(0.335148\pi\) | |||||||
\(68\) | 33.3974 | − | 19.2820i | 0.0595593 | − | 0.0343866i | ||||
\(69\) | 340.019 | − | 205.001i | 0.593239 | − | 0.357669i | ||||
\(70\) | −244.364 | + | 291.221i | −0.417244 | + | 0.497252i | ||||
\(71\) | −639.828 | − | 232.879i | −1.06949 | − | 0.389262i | −0.253503 | − | 0.967335i | \(-0.581583\pi\) |
−0.815985 | + | 0.578073i | \(0.803805\pi\) | |||||||
\(72\) | 170.609 | + | 132.471i | 0.279257 | + | 0.216831i | ||||
\(73\) | 33.0831 | − | 27.7601i | 0.0530423 | − | 0.0445078i | −0.615881 | − | 0.787839i | \(-0.711200\pi\) |
0.668923 | + | 0.743331i | \(0.266755\pi\) | |||||||
\(74\) | −295.531 | + | 52.1101i | −0.464254 | + | 0.0818605i | ||||
\(75\) | −180.311 | + | 326.445i | −0.277606 | + | 0.502595i | ||||
\(76\) | 1.42117 | + | 331.273i | 0.00214499 | + | 0.499995i | ||||
\(77\) | 48.0139i | 0.0710610i | ||||||||
\(78\) | 175.604 | − | 512.492i | 0.254913 | − | 0.743953i | ||||
\(79\) | 24.9928 | + | 29.7853i | 0.0355938 | + | 0.0424191i | 0.783548 | − | 0.621332i | \(-0.213408\pi\) |
−0.747954 | + | 0.663751i | \(0.768964\pi\) | |||||||
\(80\) | −39.9252 | − | 109.693i | −0.0557971 | − | 0.153301i | ||||
\(81\) | 521.344 | − | 509.550i | 0.715150 | − | 0.698971i | ||||
\(82\) | −340.393 | − | 285.624i | −0.458416 | − | 0.384657i | ||||
\(83\) | −329.185 | − | 190.055i | −0.435335 | − | 0.251341i | 0.266282 | − | 0.963895i | \(-0.414205\pi\) |
−0.701617 | + | 0.712555i | \(0.747538\pi\) | |||||||
\(84\) | 541.413 | − | 10.2645i | 0.703249 | − | 0.0133328i | ||||
\(85\) | −12.2143 | + | 69.2706i | −0.0155862 | + | 0.0883935i | ||||
\(86\) | 26.5797 | − | 150.741i | 0.0333274 | − | 0.189009i | ||||
\(87\) | −1456.78 | + | 27.6188i | −1.79521 | + | 0.0340351i | ||||
\(88\) | −12.7680 | − | 7.37162i | −0.0154668 | − | 0.00892974i | ||||
\(89\) | −949.601 | − | 796.810i | −1.13098 | − | 0.949008i | −0.131877 | − | 0.991266i | \(-0.542100\pi\) |
−0.999107 | + | 0.0422582i | \(0.986545\pi\) | |||||||
\(90\) | −385.118 | + | 83.0702i | −0.451055 | + | 0.0972930i | ||||
\(91\) | −464.512 | − | 1276.24i | −0.535100 | − | 1.47018i | ||||
\(92\) | 196.461 | + | 234.133i | 0.222636 | + | 0.265327i | ||||
\(93\) | −387.161 | + | 1129.91i | −0.431685 | + | 1.25985i | ||||
\(94\) | 1014.18i | 1.11281i | ||||||||
\(95\) | −464.532 | − | 386.405i | −0.501684 | − | 0.417309i | ||||
\(96\) | −80.3939 | + | 145.550i | −0.0854705 | + | 0.154741i | ||||
\(97\) | −657.140 | + | 115.872i | −0.687860 | + | 0.121288i | −0.506645 | − | 0.862155i | \(-0.669114\pi\) |
−0.181216 | + | 0.983443i | \(0.558003\pi\) | |||||||
\(98\) | 514.445 | − | 431.670i | 0.530273 | − | 0.444952i | ||||
\(99\) | −30.5163 | + | 39.3021i | −0.0309798 | + | 0.0398991i | ||||
\(100\) | −269.770 | − | 98.1883i | −0.269770 | − | 0.0981883i | ||||
\(101\) | 103.855 | − | 123.770i | 0.102317 | − | 0.121936i | −0.712456 | − | 0.701717i | \(-0.752417\pi\) |
0.814773 | + | 0.579780i | \(0.196862\pi\) | |||||||
\(102\) | 85.8039 | − | 51.7319i | 0.0832927 | − | 0.0502179i | ||||
\(103\) | 1518.05 | − | 876.446i | 1.45221 | − | 0.838434i | 0.453604 | − | 0.891203i | \(-0.350138\pi\) |
0.998607 | + | 0.0527687i | \(0.0168046\pi\) | |||||||
\(104\) | 410.698 | + | 72.4171i | 0.387233 | + | 0.0682796i | ||||
\(105\) | −620.420 | + | 768.514i | −0.576636 | + | 0.714279i | ||||
\(106\) | 445.831 | + | 772.202i | 0.408518 | + | 0.707574i | ||||
\(107\) | −151.006 | + | 261.550i | −0.136433 | + | 0.236309i | −0.926144 | − | 0.377170i | \(-0.876897\pi\) |
0.789711 | + | 0.613479i | \(0.210230\pi\) | |||||||
\(108\) | 449.700 | + | 335.705i | 0.400671 | + | 0.299104i | ||||
\(109\) | −92.0576 | + | 252.926i | −0.0808947 | + | 0.222256i | −0.973546 | − | 0.228492i | \(-0.926621\pi\) |
0.892651 | + | 0.450748i | \(0.148843\pi\) | |||||||
\(110\) | 25.2693 | − | 9.19728i | 0.0219030 | − | 0.00797205i | ||||
\(111\) | −765.108 | + | 149.916i | −0.654242 | + | 0.128193i | ||||
\(112\) | 72.3860 | + | 410.521i | 0.0610700 | + | 0.346345i | ||||
\(113\) | 458.861 | 0.382000 | 0.191000 | − | 0.981590i | \(-0.438827\pi\) | ||||
0.191000 | + | 0.981590i | \(0.438827\pi\) | |||||||
\(114\) | 20.0061 | + | 860.449i | 0.0164363 | + | 0.706916i | ||||
\(115\) | −557.473 | −0.452040 | ||||||||
\(116\) | −194.769 | − | 1104.59i | −0.155896 | − | 0.884128i | ||||
\(117\) | 430.911 | − | 1339.90i | 0.340494 | − | 1.05875i | ||||
\(118\) | −1068.34 | + | 388.843i | −0.833462 | + | 0.303355i | ||||
\(119\) | 85.9090 | − | 236.033i | 0.0661787 | − | 0.181824i | ||||
\(120\) | −109.112 | − | 282.975i | −0.0830044 | − | 0.215266i | ||||
\(121\) | −663.802 | + | 1149.74i | −0.498724 | + | 0.863816i | ||||
\(122\) | −32.5137 | − | 56.3155i | −0.0241283 | − | 0.0417915i | ||||
\(123\) | −898.275 | − | 725.175i | −0.658493 | − | 0.531600i | ||||
\(124\) | −905.481 | − | 159.661i | −0.655763 | − | 0.115629i | ||||
\(125\) | 1243.27 | − | 717.804i | 0.889613 | − | 0.513618i | ||||
\(126\) | 1405.87 | − | 53.3265i | 0.994009 | − | 0.0377040i | ||||
\(127\) | 1724.47 | − | 2055.15i | 1.20490 | − | 1.43594i | 0.335353 | − | 0.942093i | \(-0.391145\pi\) |
0.869547 | − | 0.493850i | \(-0.164411\pi\) | |||||||
\(128\) | −120.281 | − | 43.7786i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | 61.6199 | − | 392.874i | 0.0420568 | − | 0.268145i | ||||
\(130\) | −582.693 | + | 488.938i | −0.393120 | + | 0.329867i | ||||
\(131\) | −2684.77 | + | 473.397i | −1.79060 | + | 0.315732i | −0.967635 | − | 0.252355i | \(-0.918795\pi\) |
−0.822969 | + | 0.568087i | \(0.807684\pi\) | |||||||
\(132\) | −33.5293 | − | 18.5198i | −0.0221088 | − | 0.0122117i | ||||
\(133\) | 1394.03 | + | 1646.94i | 0.908857 | + | 1.07375i | ||||
\(134\) | 1400.47i | 0.902850i | ||||||||
\(135\) | −996.294 | + | 234.750i | −0.635166 | + | 0.149660i | ||||
\(136\) | 49.5770 | + | 59.0835i | 0.0312588 | + | 0.0372527i | ||||
\(137\) | 420.965 | + | 1156.59i | 0.262522 | + | 0.721272i | 0.998996 | + | 0.0448065i | \(0.0142671\pi\) |
−0.736474 | + | 0.676466i | \(0.763511\pi\) | |||||||
\(138\) | 521.860 | + | 598.511i | 0.321910 | + | 0.369193i | ||||
\(139\) | −575.484 | − | 482.889i | −0.351165 | − | 0.294663i | 0.450093 | − | 0.892982i | \(-0.351391\pi\) |
−0.801258 | + | 0.598319i | \(0.795835\pi\) | |||||||
\(140\) | −658.461 | − | 380.163i | −0.397501 | − | 0.229497i | ||||
\(141\) | 49.9458 | + | 2634.44i | 0.0298312 | + | 1.57347i | ||||
\(142\) | 236.471 | − | 1341.09i | 0.139748 | − | 0.792550i | ||||
\(143\) | −16.6822 | + | 94.6096i | −0.00975551 | + | 0.0553262i | ||||
\(144\) | −201.664 | + | 382.041i | −0.116704 | + | 0.221089i | ||||
\(145\) | 1771.72 | + | 1022.91i | 1.01471 | + | 0.585846i | ||||
\(146\) | 66.1663 | + | 55.5201i | 0.0375066 | + | 0.0314718i | ||||
\(147\) | 1315.07 | − | 1146.65i | 0.737857 | − | 0.643359i | ||||
\(148\) | −205.274 | − | 563.985i | −0.114009 | − | 0.313238i | ||||
\(149\) | −1204.45 | − | 1435.41i | −0.662231 | − | 0.789216i | 0.325473 | − | 0.945551i | \(-0.394477\pi\) |
−0.987704 | + | 0.156335i | \(0.950032\pi\) | |||||||
\(150\) | −705.593 | − | 241.769i | −0.384076 | − | 0.131603i | ||||
\(151\) | − | 229.837i | − | 0.123867i | −0.998080 | − | 0.0619334i | \(-0.980273\pi\) | ||
0.998080 | − | 0.0619334i | \(-0.0197266\pi\) | |||||||
\(152\) | −651.987 | + | 117.849i | −0.347916 | + | 0.0628870i | ||||
\(153\) | 220.337 | − | 138.605i | 0.116426 | − | 0.0732388i | ||||
\(154\) | −94.5690 | + | 16.6751i | −0.0494843 | + | 0.00872542i | ||||
\(155\) | 1284.69 | − | 1077.98i | 0.665732 | − | 0.558615i | ||||
\(156\) | 1070.40 | + | 167.886i | 0.549362 | + | 0.0861641i | ||||
\(157\) | 2057.27 | + | 748.786i | 1.04579 | + | 0.380635i | 0.807071 | − | 0.590455i | \(-0.201052\pi\) |
0.238715 | + | 0.971090i | \(0.423274\pi\) | |||||||
\(158\) | −49.9857 | + | 59.5706i | −0.0251687 | + | 0.0299948i | ||||
\(159\) | 1196.12 | + | 1983.92i | 0.596596 | + | 0.989530i | ||||
\(160\) | 202.188 | − | 116.733i | 0.0999023 | − | 0.0576786i | ||||
\(161\) | 1960.49 | + | 345.688i | 0.959679 | + | 0.169217i | ||||
\(162\) | 1184.68 | + | 849.883i | 0.574550 | + | 0.412180i | ||||
\(163\) | −795.791 | − | 1378.35i | −0.382400 | − | 0.662335i | 0.609005 | − | 0.793166i | \(-0.291569\pi\) |
−0.991405 | + | 0.130831i | \(0.958236\pi\) | |||||||
\(164\) | 444.352 | − | 769.640i | 0.211573 | − | 0.366456i | ||||
\(165\) | 65.1869 | − | 25.1354i | 0.0307563 | − | 0.0118593i | ||||
\(166\) | 260.011 | − | 714.374i | 0.121571 | − | 0.334013i | ||||
\(167\) | 2890.56 | − | 1052.08i | 1.33939 | − | 0.487498i | 0.429769 | − | 0.902939i | \(-0.358595\pi\) |
0.909620 | + | 0.415441i | \(0.136373\pi\) | |||||||
\(168\) | 208.248 | + | 1062.81i | 0.0956349 | + | 0.488081i | ||||
\(169\) | −90.3758 | − | 512.547i | −0.0411360 | − | 0.233294i | ||||
\(170\) | −140.678 | −0.0634679 | ||||||||
\(171\) | 94.3429 | + | 2234.12i | 0.0421906 | + | 0.999110i | ||||
\(172\) | 306.132 | 0.135711 | ||||||||
\(173\) | −573.581 | − | 3252.94i | −0.252073 | − | 1.42958i | −0.803476 | − | 0.595337i | \(-0.797019\pi\) |
0.551404 | − | 0.834239i | \(-0.314092\pi\) | |||||||
\(174\) | −560.333 | − | 2859.71i | −0.244131 | − | 1.24594i | ||||
\(175\) | −1757.11 | + | 639.535i | −0.758999 | + | 0.276253i | ||||
\(176\) | 10.0850 | − | 27.7082i | 0.00431922 | − | 0.0118670i | ||||
\(177\) | −2755.98 | + | 1062.68i | −1.17035 | + | 0.451275i | ||||
\(178\) | 1239.62 | − | 2147.08i | 0.521984 | − | 0.904103i | ||||
\(179\) | 747.398 | + | 1294.53i | 0.312085 | + | 0.540546i | 0.978813 | − | 0.204754i | \(-0.0656394\pi\) |
−0.666729 | + | 0.745300i | \(0.732306\pi\) | |||||||
\(180\) | −297.366 | − | 729.684i | −0.123135 | − | 0.302152i | ||||
\(181\) | 1434.08 | + | 252.866i | 0.588917 | + | 0.103842i | 0.460163 | − | 0.887835i | \(-0.347791\pi\) |
0.128754 | + | 0.991677i | \(0.458902\pi\) | |||||||
\(182\) | 2352.37 | − | 1358.14i | 0.958074 | − | 0.553144i | ||||
\(183\) | −87.2314 | − | 144.684i | −0.0352368 | − | 0.0584447i | ||||
\(184\) | −392.922 | + | 468.266i | −0.157427 | + | 0.187614i | ||||
\(185\) | 1028.68 | + | 374.411i | 0.408813 | + | 0.148796i | ||||
\(186\) | −2359.95 | − | 370.143i | −0.930322 | − | 0.145915i | ||||
\(187\) | −13.6107 | + | 11.4207i | −0.00532251 | + | 0.00446612i | ||||
\(188\) | −1997.54 | + | 352.221i | −0.774924 | + | 0.136640i | ||||
\(189\) | 3649.28 | − | 207.757i | 1.40448 | − | 0.0799583i | ||||
\(190\) | 599.739 | − | 1049.15i | 0.228998 | − | 0.400595i | ||||
\(191\) | 2265.46i | 0.858235i | 0.903249 | + | 0.429117i | \(0.141175\pi\) | ||||
−0.903249 | + | 0.429117i | \(0.858825\pi\) | |||||||
\(192\) | −314.598 | − | 107.796i | −0.118251 | − | 0.0405183i | ||||
\(193\) | −458.568 | − | 546.500i | −0.171028 | − | 0.203823i | 0.673721 | − | 0.738986i | \(-0.264695\pi\) |
−0.844749 | + | 0.535162i | \(0.820250\pi\) | |||||||
\(194\) | −456.445 | − | 1254.07i | −0.168922 | − | 0.464109i | ||||
\(195\) | −1489.53 | + | 1298.77i | −0.547013 | + | 0.476956i | ||||
\(196\) | 1028.89 | + | 863.340i | 0.374960 | + | 0.314628i | ||||
\(197\) | 1446.76 | + | 835.287i | 0.523235 | + | 0.302090i | 0.738257 | − | 0.674519i | \(-0.235649\pi\) |
−0.215022 | + | 0.976609i | \(0.568982\pi\) | |||||||
\(198\) | −88.0082 | − | 46.4559i | −0.0315882 | − | 0.0166741i | ||||
\(199\) | 650.830 | − | 3691.04i | 0.231840 | − | 1.31483i | −0.617328 | − | 0.786706i | \(-0.711785\pi\) |
0.849168 | − | 0.528123i | \(-0.177104\pi\) | |||||||
\(200\) | 99.7030 | − | 565.444i | 0.0352503 | − | 0.199915i | ||||
\(201\) | 68.9696 | + | 3637.86i | 0.0242027 | + | 1.27659i | ||||
\(202\) | 279.847 | + | 161.570i | 0.0974752 | + | 0.0562774i | ||||
\(203\) | −5596.40 | − | 4695.94i | −1.93493 | − | 1.62360i | ||||
\(204\) | 131.691 | + | 151.034i | 0.0451972 | + | 0.0518359i | ||||
\(205\) | 554.400 | + | 1523.20i | 0.188883 | + | 0.518951i | ||||
\(206\) | 2253.47 | + | 2685.59i | 0.762170 | + | 0.908318i | ||||
\(207\) | 1385.06 | + | 1529.00i | 0.465065 | + | 0.513395i | ||||
\(208\) | 834.067i | 0.278039i | ||||||||
\(209\) | −27.1481 | − | 150.194i | −0.00898504 | − | 0.0497087i | ||||
\(210\) | −1729.15 | − | 955.086i | −0.568202 | − | 0.313844i | ||||
\(211\) | −1160.31 | + | 204.595i | −0.378575 | + | 0.0667530i | −0.359698 | − | 0.933069i | \(-0.617120\pi\) |
−0.0188771 | + | 0.999822i | \(0.506009\pi\) | |||||||
\(212\) | −1366.11 | + | 1146.30i | −0.442568 | + | 0.371359i | ||||
\(213\) | 548.214 | − | 3495.28i | 0.176352 | − | 1.12438i | ||||
\(214\) | −567.598 | − | 206.589i | −0.181309 | − | 0.0659912i | ||||
\(215\) | −358.915 | + | 427.738i | −0.113850 | + | 0.135681i | ||||
\(216\) | −505.030 | + | 1002.33i | −0.159088 | + | 0.315739i | ||||
\(217\) | −5186.36 | + | 2994.35i | −1.62246 | + | 0.936726i | ||||
\(218\) | −530.139 | − | 93.4777i | −0.164704 | − | 0.0290418i | ||||
\(219\) | 174.608 | + | 140.961i | 0.0538765 | + | 0.0434944i | ||||
\(220\) | 26.8910 | + | 46.5766i | 0.00824088 | + | 0.0142736i | ||||
\(221\) | 251.289 | − | 435.245i | 0.0764866 | − | 0.132479i | ||||
\(222\) | −560.996 | − | 1454.90i | −0.169602 | − | 0.439850i | ||||
\(223\) | −2007.13 | + | 5514.55i | −0.602725 | + | 1.65597i | 0.143004 | + | 0.989722i | \(0.454324\pi\) |
−0.745729 | + | 0.666250i | \(0.767898\pi\) | |||||||
\(224\) | −783.430 | + | 285.145i | −0.233684 | + | 0.0850539i | ||||
\(225\) | −1844.76 | − | 593.273i | −0.546596 | − | 0.175785i | ||||
\(226\) | 159.361 | + | 903.779i | 0.0469049 | + | 0.266011i | ||||
\(227\) | 1868.57 | 0.546350 | 0.273175 | − | 0.961964i | \(-0.411926\pi\) | ||||
0.273175 | + | 0.961964i | \(0.411926\pi\) | |||||||
\(228\) | −1687.80 | + | 338.235i | −0.490253 | + | 0.0982463i | ||||
\(229\) | −3705.31 | −1.06923 | −0.534616 | − | 0.845095i | \(-0.679544\pi\) | ||||
−0.534616 | + | 0.845095i | \(0.679544\pi\) | |||||||
\(230\) | −193.608 | − | 1098.01i | −0.0555050 | − | 0.314785i | ||||
\(231\) | −244.832 | + | 47.9726i | −0.0697349 | + | 0.0136639i | ||||
\(232\) | 2107.98 | − | 767.242i | 0.596533 | − | 0.217120i | ||||
\(233\) | −653.389 | + | 1795.17i | −0.183712 | + | 0.504745i | −0.997025 | − | 0.0770820i | \(-0.975440\pi\) |
0.813313 | + | 0.581827i | \(0.197662\pi\) | |||||||
\(234\) | 2788.75 | + | 383.386i | 0.779086 | + | 0.107106i | ||||
\(235\) | 1849.82 | − | 3203.98i | 0.513485 | − | 0.889382i | ||||
\(236\) | −1136.90 | − | 1969.17i | −0.313585 | − | 0.543145i | ||||
\(237\) | −126.910 | + | 157.203i | −0.0347834 | + | 0.0430862i | ||||
\(238\) | 494.730 | + | 87.2343i | 0.134742 | + | 0.0237586i | ||||
\(239\) | −2956.42 | + | 1706.89i | −0.800147 | + | 0.461965i | −0.843523 | − | 0.537094i | \(-0.819522\pi\) |
0.0433756 | + | 0.999059i | \(0.486189\pi\) | |||||||
\(240\) | 519.457 | − | 313.185i | 0.139712 | − | 0.0842333i | ||||
\(241\) | −3662.24 | + | 4364.49i | −0.978862 | + | 1.16656i | 0.00716438 | + | 0.999974i | \(0.497719\pi\) |
−0.986027 | + | 0.166588i | \(0.946725\pi\) | |||||||
\(242\) | −2495.08 | − | 908.134i | −0.662768 | − | 0.241228i | ||||
\(243\) | 3119.19 | + | 2149.32i | 0.823440 | + | 0.567403i | ||||
\(244\) | 99.6279 | − | 83.5977i | 0.0261394 | − | 0.0219336i | ||||
\(245\) | −2412.58 | + | 425.402i | −0.629118 | + | 0.110930i | ||||
\(246\) | 1116.35 | − | 2021.11i | 0.289333 | − | 0.523825i | ||||
\(247\) | 2174.67 | + | 3729.59i | 0.560205 | + | 0.960762i | ||||
\(248\) | − | 1838.90i | − | 0.470848i | ||||||
\(249\) | 640.225 | − | 1868.47i | 0.162942 | − | 0.475540i | ||||
\(250\) | 1845.58 | + | 2199.48i | 0.466899 | + | 0.556429i | ||||
\(251\) | −8.55188 | − | 23.4961i | −0.00215056 | − | 0.00590861i | 0.938613 | − | 0.344973i | \(-0.112112\pi\) |
−0.940763 | + | 0.339064i | \(0.889890\pi\) | |||||||
\(252\) | 593.287 | + | 2750.51i | 0.148308 | + | 0.687563i | ||||
\(253\) | −107.871 | − | 90.5147i | −0.0268056 | − | 0.0224925i | ||||
\(254\) | 4646.75 | + | 2682.80i | 1.14789 | + | 0.662733i | ||||
\(255\) | −365.428 | + | 6.92807i | −0.0897410 | + | 0.00170138i | ||||
\(256\) | 44.4539 | − | 252.111i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −1168.14 | + | 6624.85i | −0.283527 | + | 1.60796i | 0.426971 | + | 0.904265i | \(0.359581\pi\) |
−0.710499 | + | 0.703699i | \(0.751531\pi\) | |||||||
\(258\) | 795.212 | − | 15.0763i | 0.191890 | − | 0.00363801i | ||||
\(259\) | −3385.45 | − | 1954.59i | −0.812208 | − | 0.468928i | ||||
\(260\) | −1165.39 | − | 977.875i | −0.277978 | − | 0.233251i | ||||
\(261\) | −1596.36 | − | 7400.81i | −0.378591 | − | 1.75517i | ||||
\(262\) | −1864.82 | − | 5123.55i | −0.439729 | − | 1.20814i | ||||
\(263\) | 15.9873 | + | 19.0530i | 0.00374837 | + | 0.00446714i | 0.767915 | − | 0.640551i | \(-0.221294\pi\) |
−0.764167 | + | 0.645018i | \(0.776850\pi\) | |||||||
\(264\) | 24.8322 | − | 72.4718i | 0.00578909 | − | 0.0168952i | ||||
\(265\) | − | 3252.71i | − | 0.754009i | ||||||
\(266\) | −2759.70 | + | 3317.69i | −0.636121 | + | 0.764738i | ||||
\(267\) | 3114.30 | − | 5638.32i | 0.713828 | − | 1.29236i | ||||
\(268\) | −2758.38 | + | 486.377i | −0.628712 | + | 0.110859i | ||||
\(269\) | −3545.46 | + | 2974.99i | −0.803608 | + | 0.674307i | −0.949073 | − | 0.315056i | \(-0.897977\pi\) |
0.145465 | + | 0.989363i | \(0.453532\pi\) | |||||||
\(270\) | −808.377 | − | 1880.79i | −0.182208 | − | 0.423930i | ||||
\(271\) | 6155.80 | + | 2240.53i | 1.37985 | + | 0.502223i | 0.922131 | − | 0.386877i | \(-0.126446\pi\) |
0.457714 | + | 0.889100i | \(0.348668\pi\) | |||||||
\(272\) | −99.1539 | + | 118.167i | −0.0221033 | + | 0.0263417i | ||||
\(273\) | 6043.66 | − | 3643.77i | 1.33985 | − | 0.807807i | ||||
\(274\) | −2131.84 | + | 1230.82i | −0.470034 | + | 0.271374i | ||||
\(275\) | 130.257 | + | 22.9679i | 0.0285629 | + | 0.00503642i | ||||
\(276\) | −997.597 | + | 1235.72i | −0.217566 | + | 0.269499i | ||||
\(277\) | −1907.66 | − | 3304.17i | −0.413792 | − | 0.716709i | 0.581509 | − | 0.813540i | \(-0.302463\pi\) |
−0.995301 | + | 0.0968312i | \(0.969129\pi\) | |||||||
\(278\) | 751.242 | − | 1301.19i | 0.162074 | − | 0.280720i | ||||
\(279\) | −6148.45 | − | 845.266i | −1.31935 | − | 0.181379i | ||||
\(280\) | 520.093 | − | 1428.94i | 0.111005 | − | 0.304985i | ||||
\(281\) | 7863.86 | − | 2862.21i | 1.66946 | − | 0.607634i | 0.677654 | − | 0.735381i | \(-0.262997\pi\) |
0.991807 | + | 0.127747i | \(0.0407745\pi\) | |||||||
\(282\) | −5171.49 | + | 1013.31i | −1.09205 | + | 0.213977i | ||||
\(283\) | −1067.42 | − | 6053.63i | −0.224210 | − | 1.27156i | −0.864190 | − | 0.503166i | \(-0.832168\pi\) |
0.639980 | − | 0.768392i | \(-0.278943\pi\) | |||||||
\(284\) | 2723.57 | 0.569063 | ||||||||
\(285\) | 1506.22 | − | 2754.81i | 0.313055 | − | 0.572564i | ||||
\(286\) | −192.138 | −0.0397251 | ||||||||
\(287\) | −1005.15 | − | 5700.50i | −0.206732 | − | 1.17244i | ||||
\(288\) | −822.512 | − | 264.519i | −0.168288 | − | 0.0541213i | ||||
\(289\) | −4529.37 | + | 1648.55i | −0.921915 | + | 0.335549i | ||||
\(290\) | −1399.42 | + | 3844.87i | −0.283368 | + | 0.778546i | ||||
\(291\) | −1247.42 | − | 3235.11i | −0.251290 | − | 0.651703i | ||||
\(292\) | −86.3740 | + | 149.604i | −0.0173105 | + | 0.0299826i | ||||
\(293\) | −3269.15 | − | 5662.33i | −0.651828 | − | 1.12900i | −0.982679 | − | 0.185316i | \(-0.940669\pi\) |
0.330851 | − | 0.943683i | \(-0.392664\pi\) | |||||||
\(294\) | 2715.17 | + | 2191.95i | 0.538612 | + | 0.434820i | ||||
\(295\) | 4084.32 | + | 720.175i | 0.806095 | + | 0.142136i | ||||
\(296\) | 1039.54 | − | 600.180i | 0.204129 | − | 0.117854i | ||||
\(297\) | −230.899 | − | 116.340i | −0.0451115 | − | 0.0227298i | ||||
\(298\) | 2408.90 | − | 2870.82i | 0.468268 | − | 0.558060i | ||||
\(299\) | 3742.97 | + | 1362.33i | 0.723951 | + | 0.263497i | ||||
\(300\) | 231.143 | − | 1473.71i | 0.0444834 | − | 0.283616i | ||||
\(301\) | 1527.45 | − | 1281.68i | 0.292495 | − | 0.245432i | ||||
\(302\) | 452.691 | − | 79.8217i | 0.0862565 | − | 0.0152093i | ||||
\(303\) | 734.891 | + | 405.914i | 0.139335 | + | 0.0769609i | ||||
\(304\) | −458.550 | − | 1243.24i | −0.0865121 | − | 0.234554i | ||||
\(305\) | 237.215i | 0.0445341i | ||||||||
\(306\) | 349.521 | + | 385.843i | 0.0652966 | + | 0.0720823i | ||||
\(307\) | 2570.31 | + | 3063.18i | 0.477836 | + | 0.569463i | 0.950080 | − | 0.312005i | \(-0.101001\pi\) |
−0.472245 | + | 0.881468i | \(0.656556\pi\) | |||||||
\(308\) | −65.6869 | − | 180.473i | −0.0121521 | − | 0.0333877i | ||||
\(309\) | 5985.90 | + | 6865.12i | 1.10203 | + | 1.26389i | ||||
\(310\) | 2569.37 | + | 2155.96i | 0.470743 | + | 0.395001i | ||||
\(311\) | 8841.61 | + | 5104.71i | 1.61210 | + | 0.930744i | 0.988884 | + | 0.148692i | \(0.0475062\pi\) |
0.623213 | + | 0.782053i | \(0.285827\pi\) | |||||||
\(312\) | 41.0758 | + | 2166.58i | 0.00745339 | + | 0.393136i | ||||
\(313\) | −331.082 | + | 1877.66i | −0.0597887 | + | 0.339078i | −0.999999 | − | 0.00151643i | \(-0.999517\pi\) |
0.940210 | + | 0.340595i | \(0.110628\pi\) | |||||||
\(314\) | −760.338 | + | 4312.09i | −0.136651 | + | 0.774985i | ||||
\(315\) | −4538.68 | − | 2395.78i | −0.811828 | − | 0.428531i | ||||
\(316\) | −134.691 | − | 77.7639i | −0.0239777 | − | 0.0138435i | ||||
\(317\) | 8170.35 | + | 6855.74i | 1.44761 | + | 1.21469i | 0.934301 | + | 0.356486i | \(0.116025\pi\) |
0.513309 | + | 0.858204i | \(0.328419\pi\) | |||||||
\(318\) | −3492.16 | + | 3044.91i | −0.615819 | + | 0.536950i | ||||
\(319\) | 176.744 | + | 485.600i | 0.0310212 | + | 0.0852301i | ||||
\(320\) | 300.139 | + | 357.692i | 0.0524321 | + | 0.0624862i | ||||
\(321\) | −1484.57 | − | 508.684i | −0.258133 | − | 0.0884485i | ||||
\(322\) | 3981.47i | 0.689064i | ||||||||
\(323\) | −135.276 | + | 786.917i | −0.0233033 | + | 0.135558i | ||||
\(324\) | −1262.51 | + | 2628.52i | −0.216479 | + | 0.450707i | ||||
\(325\) | −3684.52 | + | 649.680i | −0.628862 | + | 0.110885i | ||||
\(326\) | 2438.44 | − | 2046.10i | 0.414273 | − | 0.347616i | ||||
\(327\) | −1381.70 | − | 216.711i | −0.233664 | − | 0.0366487i | ||||
\(328\) | 1670.22 | + | 607.909i | 0.281165 | + | 0.102336i | ||||
\(329\) | −8492.12 | + | 10120.5i | −1.42306 | + | 1.69593i | ||||
\(330\) | 72.1462 | + | 119.664i | 0.0120349 | + | 0.0199614i | ||||
\(331\) | 5162.25 | − | 2980.43i | 0.857229 | − | 0.494921i | −0.00585426 | − | 0.999983i | \(-0.501863\pi\) |
0.863083 | + | 0.505061i | \(0.168530\pi\) | |||||||
\(332\) | 1497.34 | + | 264.022i | 0.247522 | + | 0.0436448i | ||||
\(333\) | −1528.90 | − | 3751.64i | −0.251601 | − | 0.617384i | ||||
\(334\) | 3076.07 | + | 5327.90i | 0.503937 | + | 0.872844i | ||||
\(335\) | 2554.39 | − | 4424.34i | 0.416601 | − | 0.721574i | ||||
\(336\) | −2021.00 | + | 779.278i | −0.328139 | + | 0.126527i | ||||
\(337\) | 2122.42 | − | 5831.30i | 0.343073 | − | 0.942586i | −0.641424 | − | 0.767186i | \(-0.721656\pi\) |
0.984497 | − | 0.175399i | \(-0.0561217\pi\) | |||||||
\(338\) | 978.133 | − | 356.011i | 0.157407 | − | 0.0572913i | ||||
\(339\) | 458.466 | + | 2339.82i | 0.0734526 | + | 0.374871i | ||||
\(340\) | −48.8571 | − | 277.082i | −0.00779308 | − | 0.0441968i | ||||
\(341\) | 423.614 | 0.0672727 | ||||||||
\(342\) | −4367.60 | + | 961.722i | −0.690564 | + | 0.152058i | ||||
\(343\) | −188.111 | −0.0296123 | ||||||||
\(344\) | 106.319 | + | 602.963i | 0.0166637 | + | 0.0945046i | ||||
\(345\) | −556.993 | − | 2842.66i | −0.0869203 | − | 0.443605i | ||||
\(346\) | 6207.84 | − | 2259.47i | 0.964554 | − | 0.351069i | ||||
\(347\) | −2068.78 | + | 5683.93i | −0.320052 | + | 0.879335i | 0.670465 | + | 0.741941i | \(0.266095\pi\) |
−0.990517 | + | 0.137394i | \(0.956127\pi\) | |||||||
\(348\) | 5437.92 | − | 2096.81i | 0.837653 | − | 0.322990i | ||||
\(349\) | 2304.74 | − | 3991.92i | 0.353495 | − | 0.612271i | −0.633364 | − | 0.773854i | \(-0.718326\pi\) |
0.986859 | + | 0.161582i | \(0.0516598\pi\) | |||||||
\(350\) | −1869.87 | − | 3238.72i | −0.285568 | − | 0.494619i | ||||
\(351\) | 7262.96 | + | 858.549i | 1.10447 | + | 0.130558i | ||||
\(352\) | 58.0770 | + | 10.2405i | 0.00879408 | + | 0.00155063i | ||||
\(353\) | 1407.22 | − | 812.458i | 0.212178 | − | 0.122501i | −0.390145 | − | 0.920753i | \(-0.627575\pi\) |
0.602323 | + | 0.798252i | \(0.294242\pi\) | |||||||
\(354\) | −3050.20 | − | 5059.15i | −0.457956 | − | 0.759578i | ||||
\(355\) | −3193.16 | + | 3805.46i | −0.477395 | + | 0.568937i | ||||
\(356\) | 4659.43 | + | 1695.90i | 0.693678 | + | 0.252478i | ||||
\(357\) | 1289.41 | + | 202.236i | 0.191157 | + | 0.0299817i | ||||
\(358\) | −2290.16 | + | 1921.67i | −0.338097 | + | 0.283697i | ||||
\(359\) | −9516.37 | + | 1677.99i | −1.39904 | + | 0.246688i | −0.821748 | − | 0.569851i | \(-0.807001\pi\) |
−0.577290 | + | 0.816539i | \(0.695890\pi\) | |||||||
\(360\) | 1333.92 | − | 839.114i | 0.195289 | − | 0.122848i | ||||
\(361\) | −5291.93 | − | 4363.64i | −0.771531 | − | 0.636191i | ||||
\(362\) | 2912.40i | 0.422851i | ||||||||
\(363\) | −6525.96 | − | 2236.10i | −0.943593 | − | 0.323319i | ||||
\(364\) | 3491.99 | + | 4161.59i | 0.502830 | + | 0.599249i | ||||
\(365\) | −107.765 | − | 296.083i | −0.0154540 | − | 0.0424594i | ||||
\(366\) | 254.677 | − | 222.061i | 0.0363721 | − | 0.0317139i | ||||
\(367\) | 8259.29 | + | 6930.37i | 1.17475 | + | 0.985728i | 0.999999 | + | 0.00111450i | \(0.000354758\pi\) |
0.174746 | + | 0.984614i | \(0.444090\pi\) | |||||||
\(368\) | −1058.77 | − | 611.278i | −0.149978 | − | 0.0865899i | ||||
\(369\) | 2800.30 | − | 5305.02i | 0.395062 | − | 0.748424i | ||||
\(370\) | −380.187 | + | 2156.15i | −0.0534188 | + | 0.302953i | ||||
\(371\) | −2017.00 | + | 11438.9i | −0.282257 | + | 1.60076i | ||||
\(372\) | −90.5613 | − | 4776.74i | −0.0126220 | − | 0.665759i | ||||
\(373\) | −9406.99 | − | 5431.13i | −1.30583 | − | 0.753923i | −0.324435 | − | 0.945908i | \(-0.605174\pi\) |
−0.981398 | + | 0.191985i | \(0.938507\pi\) | |||||||
\(374\) | −27.2213 | − | 22.8414i | −0.00376359 | − | 0.00315802i | ||||
\(375\) | 4902.42 | + | 5622.49i | 0.675093 | + | 0.774251i | ||||
\(376\) | −1387.48 | − | 3812.06i | −0.190302 | − | 0.522852i | ||||
\(377\) | −9395.92 | − | 11197.6i | −1.28359 | − | 1.52973i | ||||
\(378\) | 1676.58 | + | 7115.53i | 0.228133 | + | 0.968210i | ||||
\(379\) | − | 10076.9i | − | 1.36574i | −0.730540 | − | 0.682869i | \(-0.760732\pi\) | ||
0.730540 | − | 0.682869i | \(-0.239268\pi\) | |||||||
\(380\) | 2274.70 | + | 816.890i | 0.307078 | + | 0.110278i | ||||
\(381\) | 12202.6 | + | 6740.03i | 1.64083 | + | 0.906306i | ||||
\(382\) | −4462.08 | + | 786.786i | −0.597644 | + | 0.105381i | ||||
\(383\) | 9039.34 | − | 7584.91i | 1.20598 | − | 1.01193i | 0.206537 | − | 0.978439i | \(-0.433781\pi\) |
0.999439 | − | 0.0334950i | \(-0.0106638\pi\) | |||||||
\(384\) | 103.058 | − | 657.075i | 0.0136957 | − | 0.0873208i | ||||
\(385\) | 329.176 | + | 119.810i | 0.0435749 | + | 0.0158600i | ||||
\(386\) | 917.135 | − | 1093.00i | 0.120935 | − | 0.144125i | ||||
\(387\) | 2064.91 | − | 78.3245i | 0.271228 | − | 0.0102880i | ||||
\(388\) | 2311.52 | − | 1334.55i | 0.302447 | − | 0.174618i | ||||
\(389\) | 7480.61 | + | 1319.03i | 0.975017 | + | 0.171922i | 0.638387 | − | 0.769715i | \(-0.279602\pi\) |
0.336630 | + | 0.941637i | \(0.390713\pi\) | |||||||
\(390\) | −3075.38 | − | 2482.75i | −0.399302 | − | 0.322356i | ||||
\(391\) | 368.334 | + | 637.973i | 0.0476405 | + | 0.0825158i | ||||
\(392\) | −1343.12 | + | 2326.35i | −0.173056 | + | 0.299741i | ||||
\(393\) | −5096.39 | − | 13217.1i | −0.654145 | − | 1.69648i | ||||
\(394\) | −1142.74 | + | 3139.65i | −0.146118 | + | 0.401455i | ||||
\(395\) | 266.568 | − | 97.0230i | 0.0339557 | − | 0.0123589i | ||||
\(396\) | 60.9354 | − | 189.476i | 0.00773262 | − | 0.0240443i | ||||
\(397\) | 881.501 | + | 4999.24i | 0.111439 | + | 0.632001i | 0.988452 | + | 0.151535i | \(0.0484216\pi\) |
−0.877013 | + | 0.480467i | \(0.840467\pi\) | |||||||
\(398\) | 7495.96 | 0.944067 | ||||||||
\(399\) | −7005.24 | + | 8753.96i | −0.878949 | + | 1.09836i | ||||
\(400\) | 1148.33 | 0.143542 | ||||||||
\(401\) | −1415.45 | − | 8027.42i | −0.176270 | − | 0.999676i | −0.936668 | − | 0.350219i | \(-0.886107\pi\) |
0.760398 | − | 0.649457i | \(-0.225004\pi\) | |||||||
\(402\) | −7141.24 | + | 1399.26i | −0.886002 | + | 0.173604i | ||||
\(403\) | −11259.9 | + | 4098.27i | −1.39180 | + | 0.506574i | ||||
\(404\) | −221.041 | + | 607.305i | −0.0272208 | + | 0.0747884i | ||||
\(405\) | −2192.47 | − | 4845.74i | −0.269000 | − | 0.594536i | ||||
\(406\) | 7305.58 | − | 12653.6i | 0.893030 | − | 1.54677i | ||||
\(407\) | 138.259 | + | 239.472i | 0.0168385 | + | 0.0291651i | ||||
\(408\) | −251.744 | + | 311.835i | −0.0305470 | + | 0.0378386i | ||||
\(409\) | 12561.5 | + | 2214.93i | 1.51865 | + | 0.267778i | 0.869901 | − | 0.493227i | \(-0.164183\pi\) |
0.648746 | + | 0.761005i | \(0.275294\pi\) | |||||||
\(410\) | −2807.58 | + | 1620.96i | −0.338187 | + | 0.195252i | ||||
\(411\) | −5477.08 | + | 3302.18i | −0.657334 | + | 0.396312i | ||||
\(412\) | −4506.95 | + | 5371.17i | −0.538935 | + | 0.642278i | ||||
\(413\) | −13916.9 | − | 5065.35i | −1.65813 | − | 0.603509i | ||||
\(414\) | −2530.51 | + | 3259.06i | −0.300405 | + | 0.386893i | ||||
\(415\) | −2124.41 | + | 1782.59i | −0.251285 | + | 0.210853i | ||||
\(416\) | −1642.79 | + | 289.668i | −0.193617 | + | 0.0341398i | ||||
\(417\) | 1887.35 | − | 3416.98i | 0.221640 | − | 0.401271i | ||||
\(418\) | 286.396 | − | 105.633i | 0.0335121 | − | 0.0123605i | ||||
\(419\) | − | 2352.24i | − | 0.274259i | −0.990553 | − | 0.137130i | \(-0.956212\pi\) | ||
0.990553 | − | 0.137130i | \(-0.0437877\pi\) | |||||||
\(420\) | 1280.63 | − | 3737.45i | 0.148781 | − | 0.434212i | ||||
\(421\) | −1977.76 | − | 2357.00i | −0.228955 | − | 0.272858i | 0.639321 | − | 0.768940i | \(-0.279216\pi\) |
−0.868275 | + | 0.496083i | \(0.834771\pi\) | |||||||
\(422\) | −805.946 | − | 2214.32i | −0.0929688 | − | 0.255430i | ||||
\(423\) | −13383.6 | + | 2886.85i | −1.53838 | + | 0.331829i | ||||
\(424\) | −2732.21 | − | 2292.60i | −0.312943 | − | 0.262590i | ||||
\(425\) | −599.240 | − | 345.972i | −0.0683939 | − | 0.0394873i | ||||
\(426\) | 7074.76 | − | 134.129i | 0.804632 | − | 0.0152549i | ||||
\(427\) | 147.096 | − | 834.225i | 0.0166709 | − | 0.0945456i | ||||
\(428\) | 209.776 | − | 1189.70i | 0.0236913 | − | 0.134360i | ||||
\(429\) | −499.100 | + | 9.46234i | −0.0561696 | + | 0.00106491i | ||||
\(430\) | −967.129 | − | 558.372i | −0.108463 | − | 0.0626212i | ||||
\(431\) | 2810.35 | + | 2358.16i | 0.314083 | + | 0.263547i | 0.786177 | − | 0.618001i | \(-0.212057\pi\) |
−0.472094 | + | 0.881548i | \(0.656502\pi\) | |||||||
\(432\) | −2149.59 | − | 646.610i | −0.239403 | − | 0.0720140i | ||||
\(433\) | 3448.18 | + | 9473.80i | 0.382700 | + | 1.05146i | 0.970215 | + | 0.242246i | \(0.0778841\pi\) |
−0.587515 | + | 0.809213i | \(0.699894\pi\) | |||||||
\(434\) | −7698.92 | − | 9175.22i | −0.851521 | − | 1.01480i | ||||
\(435\) | −3445.79 | + | 10056.4i | −0.379800 | + | 1.10843i | ||||
\(436\) | − | 1076.63i | − | 0.118260i | ||||||
\(437\) | −6328.13 | + | 27.1478i | −0.692713 | + | 0.00297175i | ||||
\(438\) | −216.998 | + | 392.867i | −0.0236725 | + | 0.0428582i | ||||
\(439\) | 3950.00 | − | 696.491i | 0.429438 | − | 0.0757214i | 0.0452483 | − | 0.998976i | \(-0.485592\pi\) |
0.384189 | + | 0.923254i | \(0.374481\pi\) | |||||||
\(440\) | −82.3989 | + | 69.1409i | −0.00892776 | + | 0.00749128i | ||||
\(441\) | 7160.90 | + | 5560.12i | 0.773232 | + | 0.600380i | ||||
\(442\) | 944.538 | + | 343.784i | 0.101645 | + | 0.0369958i | ||||
\(443\) | 6999.42 | − | 8341.58i | 0.750683 | − | 0.894629i | −0.246538 | − | 0.969133i | \(-0.579293\pi\) |
0.997221 | + | 0.0745043i | \(0.0237375\pi\) | |||||||
\(444\) | 2670.77 | − | 1610.23i | 0.285471 | − | 0.172113i | ||||
\(445\) | −7832.36 | + | 4522.02i | −0.834359 | + | 0.481717i | ||||
\(446\) | −11558.6 | − | 2038.10i | −1.22717 | − | 0.216383i | ||||
\(447\) | 6116.00 | − | 7575.89i | 0.647152 | − | 0.801627i | ||||
\(448\) | −833.709 | − | 1444.03i | −0.0879220 | − | 0.152285i | ||||
\(449\) | 5877.56 | − | 10180.2i | 0.617771 | − | 1.07001i | −0.372120 | − | 0.928184i | \(-0.621369\pi\) |
0.989892 | − | 0.141826i | \(-0.0452975\pi\) | |||||||
\(450\) | 527.842 | − | 3839.51i | 0.0552949 | − | 0.402214i | ||||
\(451\) | −140.040 | + | 384.756i | −0.0146213 | + | 0.0401717i | ||||
\(452\) | −1724.75 | + | 627.758i | −0.179481 | + | 0.0653258i | ||||
\(453\) | 1171.98 | − | 229.639i | 0.121555 | − | 0.0238177i | ||||
\(454\) | 648.948 | + | 3680.37i | 0.0670851 | + | 0.380458i | ||||
\(455\) | −9908.79 | −1.02095 | ||||||||
\(456\) | −1252.36 | − | 3206.86i | −0.128612 | − | 0.329331i | ||||
\(457\) | 5566.95 | 0.569827 | 0.284914 | − | 0.958553i | \(-0.408035\pi\) | ||||
0.284914 | + | 0.958553i | \(0.408035\pi\) | |||||||
\(458\) | −1286.84 | − | 7298.04i | −0.131289 | − | 0.744575i | ||||
\(459\) | 926.920 | + | 985.056i | 0.0942591 | + | 0.100171i | ||||
\(460\) | 2095.41 | − | 762.668i | 0.212389 | − | 0.0773035i | ||||
\(461\) | −1892.70 | + | 5200.16i | −0.191219 | + | 0.525370i | −0.997839 | − | 0.0657000i | \(-0.979072\pi\) |
0.806621 | + | 0.591070i | \(0.201294\pi\) | |||||||
\(462\) | −179.517 | − | 465.564i | −0.0180777 | − | 0.0468831i | ||||
\(463\) | −5971.20 | + | 10342.4i | −0.599363 | + | 1.03813i | 0.393552 | + | 0.919302i | \(0.371246\pi\) |
−0.992915 | + | 0.118825i | \(0.962087\pi\) | |||||||
\(464\) | 2243.26 | + | 3885.45i | 0.224442 | + | 0.388744i | ||||
\(465\) | 6780.40 | + | 5473.80i | 0.676201 | + | 0.545896i | ||||
\(466\) | −3762.72 | − | 663.468i | −0.374044 | − | 0.0659540i | ||||
\(467\) | 2570.98 | − | 1484.35i | 0.254755 | − | 0.147083i | −0.367185 | − | 0.930148i | \(-0.619678\pi\) |
0.621940 | + | 0.783065i | \(0.286345\pi\) | |||||||
\(468\) | 213.398 | + | 5625.91i | 0.0210776 | + | 0.555679i | ||||
\(469\) | −11726.7 | + | 13975.3i | −1.15456 | + | 1.37595i | ||||
\(470\) | 6953.05 | + | 2530.70i | 0.682383 | + | 0.248367i | ||||
\(471\) | −1762.70 | + | 11238.6i | −0.172444 | + | 1.09946i | ||||
\(472\) | 3483.67 | − | 2923.15i | 0.339722 | − | 0.285061i | ||||
\(473\) | −138.900 | + | 24.4919i | −0.0135024 | + | 0.00238084i | ||||
\(474\) | −353.704 | − | 195.367i | −0.0342746 | − | 0.0189314i | ||||
\(475\) | 5134.85 | − | 2994.05i | 0.496007 | − | 0.289214i | ||||
\(476\) | 1004.72i | 0.0967468i | ||||||||
\(477\) | −8921.30 | + | 8081.47i | −0.856349 | + | 0.775734i | ||||
\(478\) | −4388.68 | − | 5230.22i | −0.419944 | − | 0.500470i | ||||
\(479\) | 1295.84 | + | 3560.28i | 0.123608 | + | 0.339610i | 0.986027 | − | 0.166585i | \(-0.0532739\pi\) |
−0.862419 | + | 0.506195i | \(0.831052\pi\) | |||||||
\(480\) | 797.259 | + | 914.362i | 0.0758120 | + | 0.0869474i | ||||
\(481\) | −5991.79 | − | 5027.71i | −0.567988 | − | 0.476598i | ||||
\(482\) | −9868.25 | − | 5697.44i | −0.932545 | − | 0.538405i | ||||
\(483\) | 196.078 | + | 10342.3i | 0.0184717 | + | 0.974309i | ||||
\(484\) | 922.144 | − | 5229.74i | 0.0866025 | − | 0.491147i | ||||
\(485\) | −845.379 | + | 4794.38i | −0.0791478 | + | 0.448870i | ||||
\(486\) | −3150.05 | + | 6890.05i | −0.294011 | + | 0.643084i | ||||
\(487\) | 8621.41 | + | 4977.58i | 0.802204 | + | 0.463153i | 0.844241 | − | 0.535963i | \(-0.180051\pi\) |
−0.0420370 | + | 0.999116i | \(0.513385\pi\) | |||||||
\(488\) | 199.256 | + | 167.195i | 0.0184834 | + | 0.0155094i | ||||
\(489\) | 6233.36 | − | 5435.05i | 0.576446 | − | 0.502620i | ||||
\(490\) | −1675.76 | − | 4604.11i | −0.154496 | − | 0.424474i | ||||
\(491\) | −3678.26 | − | 4383.58i | −0.338080 | − | 0.402908i | 0.570041 | − | 0.821617i | \(-0.306927\pi\) |
−0.908121 | + | 0.418708i | \(0.862483\pi\) | |||||||
\(492\) | 4368.51 | + | 1496.86i | 0.400300 | + | 0.137161i | ||||
\(493\) | − | 2703.42i | − | 0.246969i | ||||||
\(494\) | −6590.60 | + | 5578.53i | −0.600254 | + | 0.508077i | ||||
\(495\) | 193.301 | + | 307.286i | 0.0175520 | + | 0.0279020i | ||||
\(496\) | 3621.92 | − | 638.643i | 0.327881 | − | 0.0578143i | ||||
\(497\) | 13589.3 | − | 11402.8i | 1.22648 | − | 1.02914i | ||||
\(498\) | 3902.51 | + | 612.085i | 0.351156 | + | 0.0550767i | ||||
\(499\) | −7888.36 | − | 2871.13i | −0.707678 | − | 0.257574i | −0.0369927 | − | 0.999316i | \(-0.511778\pi\) |
−0.670686 | + | 0.741742i | \(0.734000\pi\) | |||||||
\(500\) | −3691.16 | + | 4398.96i | −0.330148 | + | 0.393455i | ||||
\(501\) | 8252.81 | + | 13688.3i | 0.735945 | + | 1.22066i | ||||
\(502\) | 43.3082 | − | 25.0040i | 0.00385048 | − | 0.00222308i | ||||
\(503\) | 5609.14 | + | 989.043i | 0.497215 | + | 0.0876725i | 0.416632 | − | 0.909075i | \(-0.363210\pi\) |
0.0805837 | + | 0.996748i | \(0.474322\pi\) | |||||||
\(504\) | −5211.40 | + | 2123.79i | −0.460584 | + | 0.187701i | ||||
\(505\) | −589.394 | − | 1020.86i | −0.0519360 | − | 0.0899558i | ||||
\(506\) | 140.816 | − | 243.900i | 0.0123716 | − | 0.0214282i | ||||
\(507\) | 2523.27 | − | 972.949i | 0.221031 | − | 0.0852272i | ||||
\(508\) | −3670.29 | + | 10084.0i | −0.320557 | + | 0.880723i | ||||
\(509\) | −1417.48 | + | 515.919i | −0.123435 | + | 0.0449267i | −0.402999 | − | 0.915200i | \(-0.632032\pi\) |
0.279564 | + | 0.960127i | \(0.409810\pi\) | |||||||
\(510\) | −140.557 | − | 717.346i | −0.0122039 | − | 0.0622835i | ||||
\(511\) | 195.383 | + | 1108.07i | 0.0169144 | + | 0.0959262i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | −11298.0 | + | 2713.27i | −0.972353 | + | 0.233516i | ||||
\(514\) | −13454.1 | −1.15454 | ||||||||
\(515\) | −2220.75 | − | 12594.5i | −0.190016 | − | 1.07763i | ||||
\(516\) | 305.869 | + | 1561.03i | 0.0260952 | + | 0.133179i | ||||
\(517\) | 878.159 | − | 319.624i | 0.0747028 | − | 0.0271896i | ||||
\(518\) | 2674.04 | − | 7346.86i | 0.226816 | − | 0.623171i | ||||
\(519\) | 16014.3 | − | 6174.94i | 1.35443 | − | 0.522254i | ||||
\(520\) | 1521.30 | − | 2634.98i | 0.128295 | − | 0.222214i | ||||
\(521\) | 6705.51 | + | 11614.3i | 0.563865 | + | 0.976643i | 0.997154 | + | 0.0753881i | \(0.0240196\pi\) |
−0.433289 | + | 0.901255i | \(0.642647\pi\) | |||||||
\(522\) | 14022.3 | − | 5714.49i | 1.17575 | − | 0.479150i | ||||
\(523\) | 9771.41 | + | 1722.96i | 0.816968 | + | 0.144053i | 0.566490 | − | 0.824069i | \(-0.308301\pi\) |
0.250478 | + | 0.968122i | \(0.419412\pi\) | |||||||
\(524\) | 9443.77 | − | 5452.36i | 0.787315 | − | 0.454557i | ||||
\(525\) | −5016.70 | − | 8320.83i | −0.417042 | − | 0.691716i | ||||
\(526\) | −31.9747 | + | 38.1059i | −0.00265050 | + | 0.00315874i | ||||
\(527\) | −2082.46 | − | 757.953i | −0.172131 | − | 0.0626507i | ||||
\(528\) | 151.366 | + | 23.7408i | 0.0124760 | + | 0.00195679i | ||||
\(529\) | 4847.94 | − | 4067.91i | 0.398450 | − | 0.334340i | ||||
\(530\) | 6406.58 | − | 1129.65i | 0.525065 | − | 0.0925831i | ||||
\(531\) | −8172.39 | − | 12991.5i | −0.667894 | − | 1.06174i | ||||
\(532\) | −7493.00 | − | 4283.33i | −0.610644 | − | 0.349071i | ||||
\(533\) | − | 11581.8i | − | 0.941211i | ||||||
\(534\) | 12186.9 | + | 4175.81i | 0.987601 | + | 0.338399i | ||||
\(535\) | 1416.34 | + | 1687.93i | 0.114455 | + | 0.136403i | ||||
\(536\) | −1915.95 | − | 5264.03i | −0.154396 | − | 0.424201i | ||||
\(537\) | −5854.30 | + | 5104.54i | −0.470450 | + | 0.410199i | ||||
\(538\) | −7090.92 | − | 5949.99i | −0.568237 | − | 0.476807i | ||||
\(539\) | −535.905 | − | 309.405i | −0.0428257 | − | 0.0247254i | ||||
\(540\) | 3423.68 | − | 2245.38i | 0.272837 | − | 0.178937i | ||||
\(541\) | 1238.37 | − | 7023.16i | 0.0984136 | − | 0.558131i | −0.895234 | − | 0.445596i | \(-0.852992\pi\) |
0.993648 | − | 0.112535i | \(-0.0358971\pi\) | |||||||
\(542\) | −2275.09 | + | 12902.7i | −0.180302 | + | 1.02254i | ||||
\(543\) | 143.429 | + | 7565.27i | 0.0113354 | + | 0.597895i | ||||
\(544\) | −267.179 | − | 154.256i | −0.0210574 | − | 0.0121575i | ||||
\(545\) | 1504.31 | + | 1262.26i | 0.118234 | + | 0.0992100i | ||||
\(546\) | 9275.77 | + | 10638.2i | 0.727045 | + | 0.833835i | ||||
\(547\) | −6756.20 | − | 18562.5i | −0.528107 | − | 1.45096i | −0.861297 | − | 0.508101i | \(-0.830347\pi\) |
0.333191 | − | 0.942859i | \(-0.391875\pi\) | |||||||
\(548\) | −3164.62 | − | 3771.45i | −0.246690 | − | 0.293993i | ||||
\(549\) | 650.616 | − | 589.369i | 0.0505786 | − | 0.0458172i | ||||
\(550\) | 264.533i | 0.0205086i | ||||||||
\(551\) | 20161.5 | + | 11525.2i | 1.55881 | + | 0.891088i | ||||
\(552\) | −2780.36 | − | 1535.72i | −0.214384 | − | 0.118414i | ||||
\(553\) | −997.617 | + | 175.907i | −0.0767143 | + | 0.0135268i | ||||
\(554\) | 5845.42 | − | 4904.89i | 0.448282 | − | 0.376153i | ||||
\(555\) | −881.391 | + | 5619.55i | −0.0674108 | + | 0.429795i | ||||
\(556\) | 2823.74 | + | 1027.76i | 0.215384 | + | 0.0783933i | ||||
\(557\) | −10197.8 | + | 12153.3i | −0.775756 | + | 0.924509i | −0.998733 | − | 0.0503141i | \(-0.983978\pi\) |
0.222978 | + | 0.974823i | \(0.428422\pi\) | |||||||
\(558\) | −470.486 | − | 12403.6i | −0.0356940 | − | 0.941019i | ||||
\(559\) | 3455.10 | − | 1994.80i | 0.261423 | − | 0.150932i | ||||
\(560\) | 2995.10 | + | 528.116i | 0.226011 | + | 0.0398518i | ||||
\(561\) | −71.8352 | − | 57.9925i | −0.00540621 | − | 0.00436443i | ||||
\(562\) | 8368.54 | + | 14494.7i | 0.628124 | + | 1.08794i | ||||
\(563\) | −7455.78 | + | 12913.8i | −0.558124 | + | 0.966699i | 0.439529 | + | 0.898228i | \(0.355145\pi\) |
−0.997653 | + | 0.0684709i | \(0.978188\pi\) | |||||||
\(564\) | −3791.86 | − | 9833.92i | −0.283096 | − | 0.734190i | ||||
\(565\) | 1145.00 | − | 3145.87i | 0.0852579 | − | 0.234244i | ||||
\(566\) | 11552.6 | − | 4204.81i | 0.857937 | − | 0.312264i | ||||
\(567\) | 4705.53 | + | 18400.8i | 0.348525 | + | 1.36289i | ||||
\(568\) | 945.884 | + | 5364.38i | 0.0698740 | + | 0.396275i | ||||
\(569\) | 4442.10 | 0.327280 | 0.163640 | − | 0.986520i | \(-0.447676\pi\) | ||||
0.163640 | + | 0.986520i | \(0.447676\pi\) | |||||||
\(570\) | 5949.02 | + | 2009.94i | 0.437153 | + | 0.147697i | ||||
\(571\) | 12656.5 | 0.927594 | 0.463797 | − | 0.885941i | \(-0.346487\pi\) | ||||
0.463797 | + | 0.885941i | \(0.346487\pi\) | |||||||
\(572\) | −66.7289 | − | 378.438i | −0.00487775 | − | 0.0276631i | ||||
\(573\) | −11552.0 | + | 2263.51i | −0.842219 | + | 0.165025i | ||||
\(574\) | 10878.7 | − | 3959.52i | 0.791060 | − | 0.287922i | ||||
\(575\) | 1875.64 | − | 5153.27i | 0.136034 | − | 0.373750i | ||||
\(576\) | 235.345 | − | 1711.90i | 0.0170244 | − | 0.123835i | ||||
\(577\) | −5981.71 | + | 10360.6i | −0.431580 | + | 0.747519i | −0.997010 | − | 0.0772780i | \(-0.975377\pi\) |
0.565429 | + | 0.824797i | \(0.308710\pi\) | |||||||
\(578\) | −4820.05 | − | 8348.57i | −0.346865 | − | 0.600787i | ||||
\(579\) | 2328.53 | − | 2884.35i | 0.167134 | − | 0.207029i | ||||
\(580\) | −8058.92 | − | 1421.01i | −0.576946 | − | 0.101731i | ||||
\(581\) | 8576.40 | − | 4951.59i | 0.612408 | − | 0.353574i | ||||
\(582\) | 5938.69 | − | 3580.49i | 0.422967 | − | 0.255010i | ||||
\(583\) | 528.129 | − | 629.400i | 0.0375178 | − | 0.0447120i | ||||
\(584\) | −324.660 | − | 118.167i | −0.0230043 | − | 0.00837289i | ||||
\(585\) | −8110.90 | − | 6297.75i | −0.573238 | − | 0.445094i | ||||
\(586\) | 10017.2 | − | 8405.47i | 0.706158 | − | 0.592537i | ||||
\(587\) | −5946.45 | + | 1048.52i | −0.418120 | + | 0.0737258i | −0.378750 | − | 0.925499i | \(-0.623646\pi\) |
−0.0393694 | + | 0.999225i | \(0.512535\pi\) | |||||||
\(588\) | −3374.33 | + | 6109.10i | −0.236658 | + | 0.428461i | ||||
\(589\) | 14530.6 | − | 12299.2i | 1.01650 | − | 0.860406i | ||||
\(590\) | 8294.65i | 0.578788i | ||||||||
\(591\) | −2813.77 | + | 8211.87i | −0.195843 | + | 0.571558i | ||||
\(592\) | 1543.15 | + | 1839.06i | 0.107134 | + | 0.127677i | ||||
\(593\) | 416.599 | + | 1144.60i | 0.0288494 | + | 0.0792630i | 0.953281 | − | 0.302084i | \(-0.0976824\pi\) |
−0.924432 | + | 0.381347i | \(0.875460\pi\) | |||||||
\(594\) | 148.955 | − | 495.186i | 0.0102891 | − | 0.0342050i | ||||
\(595\) | −1403.83 | − | 1177.96i | −0.0967254 | − | 0.0811622i | ||||
\(596\) | 6491.01 | + | 3747.59i | 0.446111 | + | 0.257562i | ||||
\(597\) | 19471.6 | − | 369.158i | 1.33487 | − | 0.0253076i | ||||
\(598\) | −1383.34 | + | 7845.34i | −0.0945973 | + | 0.536488i | ||||
\(599\) | 2303.81 | − | 13065.6i | 0.157147 | − | 0.891227i | −0.799649 | − | 0.600468i | \(-0.794981\pi\) |
0.956796 | − | 0.290759i | \(-0.0939079\pi\) | |||||||
\(600\) | 2982.92 | − | 56.5526i | 0.202962 | − | 0.00384792i | ||||
\(601\) | 4644.84 | + | 2681.70i | 0.315253 | + | 0.182011i | 0.649275 | − | 0.760554i | \(-0.275073\pi\) |
−0.334022 | + | 0.942565i | \(0.608406\pi\) | |||||||
\(602\) | 3054.90 | + | 2563.37i | 0.206825 | + | 0.173547i | ||||
\(603\) | −18481.2 | + | 3986.42i | −1.24812 | + | 0.269220i | ||||
\(604\) | 314.436 | + | 863.906i | 0.0211825 | + | 0.0581984i | ||||
\(605\) | 6226.02 | + | 7419.89i | 0.418387 | + | 0.498614i | ||||
\(606\) | −544.269 | + | 1588.43i | −0.0364842 | + | 0.106478i | ||||
\(607\) | − | 7569.51i | − | 0.506156i | −0.967446 | − | 0.253078i | \(-0.918557\pi\) | ||
0.967446 | − | 0.253078i | \(-0.0814430\pi\) | |||||||
\(608\) | 2289.44 | − | 1334.94i | 0.152713 | − | 0.0890443i | ||||
\(609\) | 18353.9 | − | 33229.0i | 1.22124 | − | 2.21101i | ||||
\(610\) | −467.222 | + | 82.3839i | −0.0310119 | + | 0.00546824i | ||||
\(611\) | −20249.7 | + | 16991.5i | −1.34078 | + | 1.12505i | ||||
\(612\) | −638.575 | + | 822.423i | −0.0421779 | + | 0.0543211i | ||||
\(613\) | 1160.49 | + | 422.383i | 0.0764627 | + | 0.0278301i | 0.379968 | − | 0.925000i | \(-0.375935\pi\) |
−0.303506 | + | 0.952830i | \(0.598157\pi\) | |||||||
\(614\) | −5140.63 | + | 6126.36i | −0.337881 | + | 0.402671i | ||||
\(615\) | −7213.17 | + | 4348.88i | −0.472948 | + | 0.285144i | ||||
\(616\) | 332.650 | − | 192.056i | 0.0217579 | − | 0.0125619i | ||||
\(617\) | −27257.9 | − | 4806.31i | −1.77855 | − | 0.313606i | −0.814664 | − | 0.579933i | \(-0.803079\pi\) |
−0.963883 | + | 0.266328i | \(0.914190\pi\) | |||||||
\(618\) | −11442.8 | + | 14174.2i | −0.744815 | + | 0.922602i | ||||
\(619\) | −3880.90 | − | 6721.92i | −0.251998 | − | 0.436473i | 0.712078 | − | 0.702100i | \(-0.247754\pi\) |
−0.964076 | + | 0.265628i | \(0.914421\pi\) | |||||||
\(620\) | −3354.08 | + | 5809.43i | −0.217263 | + | 0.376310i | ||||
\(621\) | −6412.78 | + | 8590.38i | −0.414390 | + | 0.555105i | ||||
\(622\) | −6983.65 | + | 19187.4i | −0.450191 | + | 1.23689i | ||||
\(623\) | 30348.5 | − | 11046.0i | 1.95167 | − | 0.710348i | ||||
\(624\) | −4253.07 | + | 833.349i | −0.272851 | + | 0.0534626i | ||||
\(625\) | −260.923 | − | 1479.77i | −0.0166991 | − | 0.0947052i | ||||
\(626\) | −3813.25 | −0.243463 | ||||||||
\(627\) | 738.742 | − | 288.498i | 0.0470534 | − | 0.0183756i | ||||
\(628\) | −8757.22 | −0.556451 | ||||||||
\(629\) | −251.197 | − | 1424.61i | −0.0159235 | − | 0.0903066i | ||||
\(630\) | 3142.51 | − | 9771.51i | 0.198731 | − | 0.617946i | ||||
\(631\) | −17850.1 | + | 6496.90i | −1.12615 | + | 0.409885i | −0.836893 | − | 0.547367i | \(-0.815630\pi\) |
−0.289257 | + | 0.957252i | \(0.593408\pi\) | |||||||
\(632\) | 106.387 | − | 292.297i | 0.00669598 | − | 0.0183971i | ||||
\(633\) | −2202.58 | − | 5712.24i | −0.138301 | − | 0.358675i | ||||
\(634\) | −10665.6 | + | 18473.4i | −0.668117 | + | 1.15721i | ||||
\(635\) | −9786.64 | − | 16951.0i | −0.611608 | − | 1.05934i | ||||
\(636\) | −7210.12 | − | 5820.72i | −0.449528 | − | 0.362903i | ||||
\(637\) | 17238.0 | + | 3039.53i | 1.07221 | + | 0.189059i | ||||
\(638\) | −895.064 | + | 516.765i | −0.0555422 | + | 0.0320673i | ||||
\(639\) | 18370.9 | − | 696.830i | 1.13731 | − | 0.0431395i | ||||
\(640\) | −600.278 | + | 715.383i | −0.0370751 | + | 0.0441844i | ||||
\(641\) | −2448.35 | − | 891.127i | −0.150864 | − | 0.0549101i | 0.265484 | − | 0.964115i | \(-0.414468\pi\) |
−0.416349 | + | 0.909205i | \(0.636690\pi\) | |||||||
\(642\) | 486.326 | − | 3100.70i | 0.0298968 | − | 0.190615i | ||||
\(643\) | 19686.4 | − | 16518.8i | 1.20739 | − | 1.01312i | 0.208007 | − | 0.978127i | \(-0.433302\pi\) |
0.999387 | − | 0.0349971i | \(-0.0111422\pi\) | |||||||
\(644\) | −7841.97 | + | 1382.75i | −0.479840 | + | 0.0846087i | ||||
\(645\) | −2539.72 | − | 1402.80i | −0.155041 | − | 0.0856362i | ||||
\(646\) | −1596.90 | + | 6.85076i | −0.0972591 | + | 0.000417244i | ||||
\(647\) | 12093.0i | 0.734816i | 0.930060 | + | 0.367408i | \(0.119755\pi\) | ||||
−0.930060 | + | 0.367408i | \(0.880245\pi\) | |||||||
\(648\) | −5615.64 | − | 1573.78i | −0.340437 | − | 0.0954072i | ||||
\(649\) | 673.385 | + | 802.509i | 0.0407283 | + | 0.0485381i | ||||
\(650\) | −2559.24 | − | 7031.45i | −0.154433 | − | 0.424302i | ||||
\(651\) | −20450.6 | − | 23454.5i | −1.23122 | − | 1.41206i | ||||
\(652\) | 4876.89 | + | 4092.19i | 0.292935 | + | 0.245802i | ||||
\(653\) | −12019.1 | − | 6939.20i | −0.720279 | − | 0.415853i | 0.0945766 | − | 0.995518i | \(-0.469850\pi\) |
−0.814855 | + | 0.579665i | \(0.803184\pi\) | |||||||
\(654\) | −53.0216 | − | 2796.67i | −0.00317020 | − | 0.167215i | ||||
\(655\) | −3453.82 | + | 19587.6i | −0.206034 | + | 1.16847i | ||||
\(656\) | −617.287 | + | 3500.81i | −0.0367393 | + | 0.208359i | ||||
\(657\) | −544.329 | + | 1031.20i | −0.0323231 | + | 0.0612344i | ||||
\(658\) | −22882.8 | − | 13211.4i | −1.35572 | − | 0.782726i | ||||
\(659\) | 10344.0 | + | 8679.66i | 0.611450 | + | 0.513068i | 0.895103 | − | 0.445859i | \(-0.147102\pi\) |
−0.283653 | + | 0.958927i | \(0.591546\pi\) | |||||||
\(660\) | −210.635 | + | 183.659i | −0.0124227 | + | 0.0108317i | ||||
\(661\) | −4733.54 | − | 13005.3i | −0.278537 | − | 0.765275i | −0.997529 | − | 0.0702564i | \(-0.977618\pi\) |
0.718992 | − | 0.695019i | \(-0.244604\pi\) | |||||||
\(662\) | 7663.12 | + | 9132.55i | 0.449903 | + | 0.536173i | ||||
\(663\) | 2470.47 | + | 846.499i | 0.144714 | + | 0.0495857i | ||||
\(664\) | 3040.88i | 0.177725i | ||||||||
\(665\) | 14769.7 | − | 5447.62i | 0.861272 | − | 0.317668i | ||||
\(666\) | 6858.31 | − | 4314.27i | 0.399030 | − | 0.251013i | ||||
\(667\) | 21100.4 | − | 3720.57i | 1.22490 | − | 0.215984i | ||||
\(668\) | −9425.62 | + | 7909.03i | −0.545940 | + | 0.458098i | ||||
\(669\) | −30125.1 | − | 4724.94i | −1.74096 | − | 0.273060i | ||||
\(670\) | 9601.37 | + | 3494.61i | 0.553632 | + | 0.201506i | ||||
\(671\) | −38.5157 | + | 45.9012i | −0.00221592 | + | 0.00264083i | ||||
\(672\) | −2236.76 | − | 3709.96i | −0.128400 | − | 0.212968i | ||||
\(673\) | −19334.0 | + | 11162.5i | −1.10739 | + | 0.639350i | −0.938151 | − | 0.346225i | \(-0.887463\pi\) |
−0.169236 | + | 0.985576i | \(0.554130\pi\) | |||||||
\(674\) | 12222.5 | + | 2155.16i | 0.698508 | + | 0.123166i | ||||
\(675\) | 1182.04 | − | 9999.55i | 0.0674026 | − | 0.570197i | ||||
\(676\) | 1040.91 | + | 1802.90i | 0.0592232 | + | 0.102578i | ||||
\(677\) | −9604.94 | + | 16636.2i | −0.545270 | + | 0.944435i | 0.453320 | + | 0.891348i | \(0.350240\pi\) |
−0.998590 | + | 0.0530875i | \(0.983094\pi\) | |||||||
\(678\) | −4449.32 | + | 1715.61i | −0.252028 | + | 0.0971794i | ||||
\(679\) | 5945.97 | − | 16336.4i | 0.336061 | − | 0.923320i | ||||
\(680\) | 528.778 | − | 192.459i | 0.0298202 | − | 0.0108536i | ||||
\(681\) | 1866.96 | + | 9528.19i | 0.105055 | + | 0.536154i | ||||
\(682\) | 147.120 | + | 834.357i | 0.00826027 | + | 0.0468463i | ||||
\(683\) | −19310.6 | −1.08184 | −0.540922 | − | 0.841073i | \(-0.681925\pi\) | ||||
−0.540922 | + | 0.841073i | \(0.681925\pi\) | |||||||
\(684\) | −3411.08 | − | 8268.49i | −0.190681 | − | 0.462213i | ||||
\(685\) | 8979.85 | 0.500880 | ||||||||
\(686\) | −65.3301 | − | 370.505i | −0.00363603 | − | 0.0206209i | ||||
\(687\) | −3702.12 | − | 18894.1i | −0.205597 | − | 1.04928i | ||||
\(688\) | −1150.68 | + | 418.814i | −0.0637635 | + | 0.0232080i | ||||
\(689\) | −7948.82 | + | 21839.2i | −0.439515 | + | 1.20756i | ||||
\(690\) | 5405.51 | − | 2084.31i | 0.298238 | − | 0.114997i | ||||
\(691\) | −764.120 | + | 1323.49i | −0.0420673 | + | 0.0728627i | −0.886292 | − | 0.463126i | \(-0.846728\pi\) |
0.844225 | + | 0.535989i | \(0.180061\pi\) | |||||||
\(692\) | 6606.25 | + | 11442.4i | 0.362907 | + | 0.628574i | ||||
\(693\) | −489.243 | − | 1200.51i | −0.0268179 | − | 0.0658062i | ||||
\(694\) | −11913.6 | − | 2100.70i | −0.651636 | − | 0.114901i | ||||
\(695\) | −4746.63 | + | 2740.47i | −0.259064 | + | 0.149571i | ||||
\(696\) | 6018.47 | + | 9982.40i | 0.327773 | + | 0.543652i | ||||
\(697\) | 1376.85 | − | 1640.87i | 0.0748234 | − | 0.0891711i | ||||
\(698\) | 8662.98 | + | 3153.07i | 0.469769 | + | 0.170982i | ||||
\(699\) | −9806.74 | − | 1538.13i | −0.530651 | − | 0.0832293i | ||||
\(700\) | 5729.63 | − | 4807.73i | 0.309371 | − | 0.259593i | ||||
\(701\) | 7400.37 | − | 1304.89i | 0.398728 | − | 0.0703065i | 0.0293112 | − | 0.999570i | \(-0.490669\pi\) |
0.369417 | + | 0.929264i | \(0.379558\pi\) | |||||||
\(702\) | 831.386 | + | 14603.4i | 0.0446989 | + | 0.785142i | ||||
\(703\) | 11695.3 | + | 4200.01i | 0.627449 | + | 0.225329i | ||||
\(704\) | 117.946i | 0.00631428i | ||||||||
\(705\) | 18185.9 | + | 6231.35i | 0.971520 | + | 0.332888i | ||||
\(706\) | 2088.95 | + | 2489.52i | 0.111358 | + | 0.132711i | ||||
\(707\) | 1439.72 | + | 3955.59i | 0.0765857 | + | 0.210418i | ||||
\(708\) | 8905.25 | − | 7764.75i | 0.472712 | − | 0.412171i | ||||
\(709\) | −3344.94 | − | 2806.74i | −0.177182 | − | 0.148673i | 0.549884 | − | 0.835241i | \(-0.314672\pi\) |
−0.727066 | + | 0.686568i | \(0.759116\pi\) | |||||||
\(710\) | −8604.26 | − | 4967.67i | −0.454806 | − | 0.262582i | ||||
\(711\) | −928.407 | − | 490.068i | −0.0489704 | − | 0.0258495i | ||||
\(712\) | −1722.06 | + | 9766.27i | −0.0906416 | + | 0.514054i | ||||
\(713\) | 3049.91 | − | 17296.9i | 0.160196 | − | 0.908519i | ||||
\(714\) | 49.4803 | + | 2609.88i | 0.00259349 | + | 0.136796i | ||||
\(715\) | 607.001 | + | 350.452i | 0.0317490 | + | 0.0183303i | ||||
\(716\) | −4580.32 | − | 3843.34i | −0.239071 | − | 0.200604i | ||||
\(717\) | −11657.6 | − | 13369.9i | −0.607200 | − | 0.696387i | ||||
\(718\) | −6610.00 | − | 18160.8i | −0.343570 | − | 0.943950i | ||||
\(719\) | −2019.40 | − | 2406.63i | −0.104744 | − | 0.124829i | 0.711126 | − | 0.703065i | \(-0.248186\pi\) |
−0.815870 | + | 0.578236i | \(0.803741\pi\) | |||||||
\(720\) | 2116.00 | + | 2335.89i | 0.109526 | + | 0.120908i | ||||
\(721\) | 45668.8i | 2.35894i | ||||||||
\(722\) | 6756.82 | − | 11938.5i | 0.348286 | − | 0.615383i | ||||
\(723\) | −25914.5 | − | 14313.7i | −1.33301 | − | 0.736284i | ||||
\(724\) | −5736.30 | + | 1011.47i | −0.294459 | + | 0.0519210i | ||||
\(725\) | −15416.7 | + | 12936.2i | −0.789742 | + | 0.662672i | ||||
\(726\) | 2137.82 | − | 13630.2i | 0.109286 | − | 0.696784i | ||||
\(727\) | 14755.6 | + | 5370.58i | 0.752755 | + | 0.273981i | 0.689765 | − | 0.724034i | \(-0.257714\pi\) |
0.0629906 | + | 0.998014i | \(0.479936\pi\) | |||||||
\(728\) | −6983.98 | + | 8323.18i | −0.355554 | + | 0.423733i | ||||
\(729\) | −7843.29 | + | 18052.8i | −0.398480 | + | 0.917177i | ||||
\(730\) | 545.743 | − | 315.085i | 0.0276697 | − | 0.0159751i | ||||
\(731\) | 726.646 | + | 128.127i | 0.0367660 | + | 0.00648285i | ||||
\(732\) | 525.823 | + | 424.496i | 0.0265505 | + | 0.0214342i | ||||
\(733\) | 521.489 | + | 903.245i | 0.0262778 | + | 0.0455145i | 0.878865 | − | 0.477070i | \(-0.158301\pi\) |
−0.852587 | + | 0.522585i | \(0.824968\pi\) | |||||||
\(734\) | −10781.7 | + | 18674.5i | −0.542181 | + | 0.939086i | ||||
\(735\) | −4579.70 | − | 11877.1i | −0.229830 | − | 0.596048i | ||||
\(736\) | 836.278 | − | 2297.66i | 0.0418826 | − | 0.115072i | ||||
\(737\) | 1212.64 | − | 441.364i | 0.0606080 | − | 0.0220595i | ||||
\(738\) | 11421.4 | + | 3673.11i | 0.569684 | + | 0.183210i | ||||
\(739\) | −4532.52 | − | 25705.2i | −0.225618 | − | 1.27954i | −0.861501 | − | 0.507756i | \(-0.830475\pi\) |
0.635884 | − | 0.771785i | \(-0.280636\pi\) | |||||||
\(740\) | −4378.81 | −0.217525 | ||||||||
\(741\) | −16845.1 | + | 14815.4i | −0.835114 | + | 0.734491i | ||||
\(742\) | −23230.8 | −1.14937 | ||||||||
\(743\) | −3009.63 | − | 17068.5i | −0.148604 | − | 0.842774i | −0.964403 | − | 0.264438i | \(-0.914814\pi\) |
0.815799 | − | 0.578336i | \(-0.196298\pi\) | |||||||
\(744\) | 9376.89 | − | 1837.32i | 0.462061 | − | 0.0905367i | ||||
\(745\) | −12846.4 | + | 4675.72i | −0.631754 | + | 0.229940i | ||||
\(746\) | 7430.22 | − | 20414.4i | 0.364665 | − | 1.00191i | ||||
\(747\) | 10167.4 | + | 1397.77i | 0.497997 | + | 0.0684628i | ||||
\(748\) | 35.5349 | − | 61.5483i | 0.00173701 | − | 0.00300859i | ||||
\(749\) | −3934.23 | − | 6814.28i | −0.191927 | − | 0.332428i | ||||
\(750\) | −9371.56 | + | 11608.5i | −0.456268 | + | 0.565179i | ||||
\(751\) | −4733.90 | − | 834.714i | −0.230016 | − | 0.0405581i | 0.0574518 | − | 0.998348i | \(-0.481702\pi\) |
−0.287468 | + | 0.957790i | \(0.592814\pi\) | |||||||
\(752\) | 7026.43 | − | 4056.71i | 0.340728 | − | 0.196720i | ||||
\(753\) | 111.266 | − | 67.0835i | 0.00538483 | − | 0.00324656i | ||||
\(754\) | 18791.8 | − | 22395.2i | 0.907637 | − | 1.08168i | ||||
\(755\) | −1575.73 | − | 573.518i | −0.0759558 | − | 0.0276456i | ||||
\(756\) | −13432.6 | + | 5773.42i | −0.646215 | + | 0.277748i | ||||
\(757\) | −6250.34 | + | 5244.65i | −0.300096 | + | 0.251810i | −0.780384 | − | 0.625301i | \(-0.784976\pi\) |
0.480289 | + | 0.877111i | \(0.340532\pi\) | |||||||
\(758\) | 19847.6 | − | 3499.67i | 0.951052 | − | 0.167696i | ||||
\(759\) | 353.773 | − | 640.493i | 0.0169185 | − | 0.0306303i | ||||
\(760\) | −818.963 | + | 4763.99i | −0.0390881 | + | 0.227379i | ||||
\(761\) | 21879.1i | 1.04220i | 0.853495 | + | 0.521101i | \(0.174479\pi\) | ||||
−0.853495 | + | 0.521101i | \(0.825521\pi\) | |||||||
\(762\) | −9037.37 | + | 26375.2i | −0.429645 | + | 1.25390i | ||||
\(763\) | −4507.54 | − | 5371.88i | −0.213872 | − | 0.254882i | ||||
\(764\) | −3099.33 | − | 8515.34i | −0.146767 | − | 0.403238i | ||||
\(765\) | −400.440 | − | 1856.46i | −0.0189254 | − | 0.0877392i | ||||
\(766\) | 18078.7 | + | 15169.8i | 0.852754 | + | 0.715545i | ||||
\(767\) | −25662.8 | − | 14816.4i | −1.20812 | − | 0.697511i | ||||
\(768\) | 1329.98 | − | 25.2148i | 0.0624888 | − | 0.00118471i | ||||
\(769\) | 1302.91 | − | 7389.19i | 0.0610979 | − | 0.346503i | −0.938899 | − | 0.344192i | \(-0.888153\pi\) |
0.999997 | − | 0.00231175i | \(-0.000735852\pi\) | |||||||
\(770\) | −121.658 | + | 689.959i | −0.00569385 | + | 0.0322914i | ||||
\(771\) | −34948.5 | + | 662.582i | −1.63248 | + | 0.0309498i | ||||
\(772\) | 2471.31 | + | 1426.81i | 0.115213 | + | 0.0665181i | ||||
\(773\) | 23112.1 | + | 19393.4i | 1.07540 | + | 0.902369i | 0.995531 | − | 0.0944366i | \(-0.0301050\pi\) |
0.0798702 | + | 0.996805i | \(0.474549\pi\) | |||||||
\(774\) | 871.404 | + | 4039.87i | 0.0404677 | + | 0.187610i | ||||
\(775\) | 5642.45 | + | 15502.5i | 0.261526 | + | 0.718537i | ||||
\(776\) | 3431.34 | + | 4089.31i | 0.158735 | + | 0.189172i | ||||
\(777\) | 6584.29 | − | 19216.0i | 0.304003 | − | 0.887219i | ||||
\(778\) | 15192.0i | 0.700077i | ||||||||
\(779\) | 6367.42 | + | 17263.6i | 0.292858 | + | 0.794007i | ||||
\(780\) | 3821.99 | − | 6919.56i | 0.175448 | − | 0.317641i | ||||
\(781\) | −1235.75 | + | 217.897i | −0.0566181 | + | 0.00998330i | ||||
\(782\) | −1128.64 | + | 947.042i | −0.0516114 | + | 0.0433071i | ||||
\(783\) | 36143.1 | − | 15534.6i | 1.64962 | − | 0.709017i | ||||
\(784\) | −5048.48 | − | 1837.50i | −0.229978 | − | 0.0837051i | ||||
\(785\) | 10267.1 | − | 12235.9i | 0.466814 | − | 0.556328i | ||||
\(786\) | 24262.7 | − | 14628.2i | 1.10105 | − | 0.663830i | ||||
\(787\) | 24169.1 | − | 13954.0i | 1.09471 | − | 0.632030i | 0.159882 | − | 0.987136i | \(-0.448889\pi\) |
0.934826 | + | 0.355106i | \(0.115555\pi\) | |||||||
\(788\) | −6580.78 | − | 1160.37i | −0.297501 | − | 0.0524574i | ||||
\(789\) | −81.1811 | + | 100.559i | −0.00366302 | + | 0.00453738i | ||||
\(790\) | 283.676 | + | 491.342i | 0.0127756 | + | 0.0221280i | ||||
\(791\) | −5977.44 | + | 10353.2i | −0.268689 | + | 0.465384i | ||||
\(792\) | 394.358 | + | 54.2149i | 0.0176931 | + | 0.00243238i | ||||
\(793\) | 579.695 | − | 1592.70i | 0.0259591 | − | 0.0713221i | ||||
\(794\) | −9540.44 | + | 3472.43i | −0.426420 | + | 0.155204i | ||||
\(795\) | 16586.2 | − | 3249.91i | 0.739938 | − | 0.144984i | ||||
\(796\) | 2603.32 | + | 14764.2i | 0.115920 | + | 0.657414i | ||||
\(797\) | 42843.0 | 1.90411 | 0.952056 | − | 0.305923i | \(-0.0989650\pi\) | ||||
0.952056 | + | 0.305923i | \(0.0989650\pi\) | |||||||
\(798\) | −19674.8 | − | 10757.4i | −0.872784 | − | 0.477203i | ||||
\(799\) | −4888.85 | −0.216465 | ||||||||
\(800\) | 398.812 | + | 2261.77i | 0.0176252 | + | 0.0999573i | ||||
\(801\) | 31862.5 | + | 10246.9i | 1.40550 | + | 0.452007i | ||||
\(802\) | 15319.3 | − | 5575.79i | 0.674495 | − | 0.245496i | ||||
\(803\) | 27.2212 | − | 74.7896i | 0.00119628 | − | 0.00328676i | ||||
\(804\) | −5236.13 | − | 13579.5i | −0.229682 | − | 0.595664i | ||||
\(805\) | 7262.04 | − | 12578.2i | 0.317954 | − | 0.550713i | ||||
\(806\) | −11982.5 | − | 20754.4i | −0.523656 | − | 0.906999i | ||||
\(807\) | −18712.5 | − | 15106.5i | −0.816245 | − | 0.658953i | ||||
\(808\) | −1272.92 | − | 224.451i | −0.0554224 | − | 0.00977246i | ||||
\(809\) | 16229.0 | − | 9369.81i | 0.705292 | − | 0.407200i | −0.104024 | − | 0.994575i | \(-0.533172\pi\) |
0.809315 | + | 0.587375i | \(0.199838\pi\) | |||||||
\(810\) | 8782.82 | − | 6001.24i | 0.380984 | − | 0.260323i | ||||
\(811\) | −15998.4 | + | 19066.2i | −0.692700 | + | 0.825528i | −0.991679 | − | 0.128732i | \(-0.958909\pi\) |
0.298979 | + | 0.954260i | \(0.403354\pi\) | |||||||
\(812\) | 27460.0 | + | 9994.63i | 1.18677 | + | 0.431949i | ||||
\(813\) | −5274.37 | + | 33628.2i | −0.227528 | + | 1.45067i | ||||
\(814\) | −423.651 | + | 355.485i | −0.0182420 | + | 0.0153068i | ||||
\(815\) | −11435.5 | + | 2016.39i | −0.491495 | + | 0.0866638i | ||||
\(816\) | −701.625 | − | 387.539i | −0.0301002 | − | 0.0166257i | ||||
\(817\) | −4053.38 | + | 4872.93i | −0.173574 | + | 0.208669i | ||||
\(818\) | 25510.6i | 1.09041i | ||||||||
\(819\) | 24618.7 | + | 27177.1i | 1.05036 | + | 1.15952i | ||||
\(820\) | −4167.73 | − | 4966.90i | −0.177492 | − | 0.211527i | ||||
\(821\) | 9364.26 | + | 25728.1i | 0.398069 | + | 1.09369i | 0.963224 | + | 0.268701i | \(0.0865944\pi\) |
−0.565154 | + | 0.824985i | \(0.691183\pi\) | |||||||
\(822\) | −8406.18 | − | 9640.90i | −0.356690 | − | 0.409082i | ||||
\(823\) | −30943.9 | − | 25965.1i | −1.31062 | − | 1.09974i | −0.988205 | − | 0.153140i | \(-0.951062\pi\) |
−0.322413 | − | 0.946599i | \(-0.604494\pi\) | |||||||
\(824\) | −12144.4 | − | 7011.56i | −0.513434 | − | 0.296431i | ||||
\(825\) | 13.0276 | + | 687.155i | 0.000549775 | + | 0.0289984i | ||||
\(826\) | 5143.49 | − | 29170.2i | 0.216664 | − | 1.22877i | ||||
\(827\) | 4985.03 | − | 28271.5i | 0.209609 | − | 1.18875i | −0.680412 | − | 0.732830i | \(-0.738199\pi\) |
0.890021 | − | 0.455920i | \(-0.150690\pi\) | |||||||
\(828\) | −7297.93 | − | 3852.28i | −0.306305 | − | 0.161686i | ||||
\(829\) | 30225.7 | + | 17450.8i | 1.26632 | + | 0.731112i | 0.974290 | − | 0.225297i | \(-0.0723351\pi\) |
0.292033 | + | 0.956408i | \(0.405668\pi\) | |||||||
\(830\) | −4248.82 | − | 3565.19i | −0.177685 | − | 0.149096i | ||||
\(831\) | 14942.6 | − | 13028.9i | 0.623769 | − | 0.543882i | ||||
\(832\) | −1141.07 | − | 3135.07i | −0.0475475 | − | 0.130636i | ||||
\(833\) | 2080.87 | + | 2479.88i | 0.0865520 | + | 0.103149i | ||||
\(834\) | 7385.60 | + | 2530.65i | 0.306646 | + | 0.105071i | ||||
\(835\) | − | 22442.5i | − | 0.930124i | ||||||
\(836\) | 307.521 | + | 527.403i | 0.0127223 | + | 0.0218189i | ||||
\(837\) | −1832.99 | − | 32196.7i | −0.0756958 | − | 1.32961i | ||||
\(838\) | 4633.02 | − | 816.926i | 0.190984 | − | 0.0336757i | ||||
\(839\) | −1698.29 | + | 1425.04i | −0.0698827 | + | 0.0586385i | −0.677060 | − | 0.735928i | \(-0.736746\pi\) |
0.607177 | + | 0.794566i | \(0.292302\pi\) | |||||||
\(840\) | 7806.10 | + | 1224.34i | 0.320638 | + | 0.0502901i | ||||
\(841\) | −50968.6 | − | 18551.1i | −2.08982 | − | 0.760633i | ||||
\(842\) | 3955.51 | − | 4714.00i | 0.161895 | − | 0.192939i | ||||
\(843\) | 22452.0 | + | 37239.6i | 0.917306 | + | 1.52147i | ||||
\(844\) | 4081.45 | − | 2356.43i | 0.166457 | − | 0.0961038i | ||||
\(845\) | −3739.45 | − | 659.367i | −0.152238 | − | 0.0268437i | ||||
\(846\) | −10334.1 | − | 25358.0i | −0.419968 | − | 1.03053i | ||||
\(847\) | −17294.3 | − | 29954.6i | −0.701581 | − | 1.21517i | ||||
\(848\) | 3566.65 | − | 6177.61i | 0.144433 | − | 0.250165i | ||||
\(849\) | 29802.1 | − | 11491.4i | 1.20472 | − | 0.464527i | ||||
\(850\) | 473.317 | − | 1300.43i | 0.0190996 | − | 0.0524757i | ||||
\(851\) | 10773.5 | − | 3921.23i | 0.433972 | − | 0.157953i | ||||
\(852\) | 2721.22 | + | 13888.0i | 0.109422 | + | 0.558444i | ||||
\(853\) | −3234.91 | − | 18346.1i | −0.129849 | − | 0.736410i | −0.978309 | − | 0.207151i | \(-0.933581\pi\) |
0.848460 | − | 0.529260i | \(-0.177530\pi\) | |||||||
\(854\) | 1694.19 | 0.0678851 | ||||||||
\(855\) | 15552.2 | + | 4928.06i | 0.622075 | + | 0.197118i | ||||
\(856\) | 2416.10 | 0.0964727 | ||||||||
\(857\) | 7819.07 | + | 44344.1i | 0.311662 | + | 1.76752i | 0.590356 | + | 0.807143i | \(0.298987\pi\) |
−0.278694 | + | 0.960380i | \(0.589902\pi\) | |||||||
\(858\) | −191.973 | − | 979.749i | −0.00763851 | − | 0.0389838i | ||||
\(859\) | −9401.91 | + | 3422.01i | −0.373445 | + | 0.135923i | −0.521922 | − | 0.852993i | \(-0.674785\pi\) |
0.148478 | + | 0.988916i | \(0.452563\pi\) | |||||||
\(860\) | 763.898 | − | 2098.79i | 0.0302892 | − | 0.0832189i | ||||
\(861\) | 28063.6 | − | 10821.0i | 1.11081 | − | 0.428316i | ||||
\(862\) | −3668.64 | + | 6354.28i | −0.144959 | + | 0.251076i | ||||
\(863\) | 7502.95 | + | 12995.5i | 0.295948 | + | 0.512598i | 0.975205 | − | 0.221303i | \(-0.0710310\pi\) |
−0.679257 | + | 0.733901i | \(0.737698\pi\) | |||||||
\(864\) | 527.028 | − | 4458.43i | 0.0207522 | − | 0.175554i | ||||
\(865\) | −23732.9 | − | 4184.75i | −0.932883 | − | 0.164492i | ||||
\(866\) | −17462.2 | + | 10081.8i | −0.685208 | + | 0.395605i | ||||
\(867\) | −12931.8 | − | 21449.0i | −0.506558 | − | 0.840190i | ||||
\(868\) | 15397.8 | − | 18350.4i | 0.602116 | − | 0.717574i | ||||
\(869\) | 67.3343 | + | 24.5077i | 0.00262849 | + | 0.000956693i | ||||
\(870\) | −21003.9 | − | 3294.33i | −0.818505 | − | 0.128377i | ||||
\(871\) | −27962.6 | + | 23463.4i | −1.08780 | + | 0.912775i | ||||
\(872\) | 2120.55 | − | 373.911i | 0.0823521 | − | 0.0145209i | ||||
\(873\) | 15250.1 | − | 9593.18i | 0.591222 | − | 0.371913i | ||||
\(874\) | −2251.21 | − | 12454.6i | −0.0871261 | − | 0.482016i | ||||
\(875\) | 37402.4i | 1.44507i | ||||||||
\(876\) | −849.159 | − | 290.962i | −0.0327516 | − | 0.0112222i | ||||
\(877\) | 7621.64 | + | 9083.11i | 0.293460 | + | 0.349732i | 0.892549 | − | 0.450950i | \(-0.148915\pi\) |
−0.599089 | + | 0.800682i | \(0.704470\pi\) | |||||||
\(878\) | 2743.64 | + | 7538.09i | 0.105459 | + | 0.289747i | ||||
\(879\) | 25607.0 | − | 22327.5i | 0.982595 | − | 0.856754i | ||||
\(880\) | −164.798 | − | 138.282i | −0.00631288 | − | 0.00529714i | ||||
\(881\) | −15221.4 | − | 8788.06i | −0.582090 | − | 0.336070i | 0.179874 | − | 0.983690i | \(-0.442431\pi\) |
−0.761963 | + | 0.647620i | \(0.775764\pi\) | |||||||
\(882\) | −8464.34 | + | 16035.2i | −0.323140 | + | 0.612170i | ||||
\(883\) | −7184.86 | + | 40747.4i | −0.273828 | + | 1.55295i | 0.468834 | + | 0.883286i | \(0.344674\pi\) |
−0.742662 | + | 0.669667i | \(0.766437\pi\) | |||||||
\(884\) | −349.087 | + | 1979.77i | −0.0132818 | + | 0.0753246i | ||||
\(885\) | 408.491 | + | 21546.3i | 0.0155156 | + | 0.818383i | ||||
\(886\) | 18860.6 | + | 10889.2i | 0.715162 | + | 0.412899i | ||||
\(887\) | 26958.9 | + | 22621.2i | 1.02051 | + | 0.856310i | 0.989692 | − | 0.143215i | \(-0.0457441\pi\) |
0.0308188 | + | 0.999525i | \(0.490189\pi\) | |||||||
\(888\) | 4099.08 | + | 4701.16i | 0.154906 | + | 0.177658i | ||||
\(889\) | 23905.9 | + | 65680.9i | 0.901888 | + | 2.47792i | ||||
\(890\) | −11626.8 | − | 13856.3i | −0.437900 | − | 0.521869i | ||||
\(891\) | 362.540 | − | 1293.64i | 0.0136314 | − | 0.0486402i | ||||
\(892\) | − | 23473.9i | − | 0.881124i | ||||||
\(893\) | 20842.1 | − | 36459.9i | 0.781024 | − | 1.36628i | ||||
\(894\) | 17045.7 | + | 9415.10i | 0.637687 | + | 0.352224i | ||||
\(895\) | 10740.1 | − | 1893.77i | 0.401119 | − | 0.0707282i | ||||
\(896\) | 2554.63 | − | 2143.59i | 0.0952503 | − | 0.0799245i | ||||
\(897\) | −3207.02 | + | 20447.2i | −0.119375 | + | 0.761108i | ||||
\(898\) | 22092.4 | + | 8040.98i | 0.820972 | + | 0.298809i | ||||
\(899\) | −41431.0 | + | 49375.6i | −1.53704 | + | 1.83178i | ||||
\(900\) | 7745.68 | − | 293.803i | 0.286877 | − | 0.0108816i | ||||
\(901\) | −3722.40 | + | 2149.13i | −0.137637 | + | 0.0794649i | ||||
\(902\) | −806.456 | − | 142.200i | −0.0297695 | − | 0.00524916i | ||||
\(903\) | 8061.69 | + | 6508.18i | 0.297094 | + | 0.239844i | ||||
\(904\) | −1835.44 | − | 3179.08i | −0.0675287 | − | 0.116963i | ||||
\(905\) | 5312.09 | − | 9200.81i | 0.195116 | − | 0.337951i | ||||
\(906\) | 859.327 | + | 2228.60i | 0.0315113 | + | 0.0817223i | ||||
\(907\) | 3952.05 | − | 10858.2i | 0.144681 | − | 0.397508i | −0.846092 | − | 0.533036i | \(-0.821051\pi\) |
0.990773 | + | 0.135528i | \(0.0432732\pi\) | |||||||
\(908\) | −7023.53 | + | 2556.35i | −0.256700 | + | 0.0934313i | ||||
\(909\) | −1335.57 | + | 4152.91i | −0.0487328 | + | 0.151533i | ||||
\(910\) | −3441.28 | − | 19516.5i | −0.125360 | − | 0.710951i | ||||
\(911\) | −20722.9 | −0.753654 | −0.376827 | − | 0.926284i | \(-0.622985\pi\) | ||||
−0.376827 | + | 0.926284i | \(0.622985\pi\) | |||||||
\(912\) | 5881.34 | − | 3580.40i | 0.213542 | − | 0.129999i | ||||
\(913\) | −700.507 | −0.0253926 | ||||||||
\(914\) | 1933.38 | + | 10964.8i | 0.0699678 | + | 0.396807i | ||||
\(915\) | −1209.60 | + | 237.011i | −0.0437030 | + | 0.00856320i | ||||
\(916\) | 13927.4 | − | 5069.17i | 0.502375 | − | 0.182849i | ||||
\(917\) | 24292.4 | − | 66742.9i | 0.874817 | − | 2.40354i | ||||
\(918\) | −1618.27 | + | 2167.78i | −0.0581816 | + | 0.0779384i | ||||
\(919\) | −4468.90 | + | 7740.36i | −0.160408 | + | 0.277835i | −0.935015 | − | 0.354608i | \(-0.884614\pi\) |
0.774607 | + | 0.632443i | \(0.217948\pi\) | |||||||
\(920\) | 2229.89 | + | 3862.29i | 0.0799102 | + | 0.138409i | ||||
\(921\) | −13051.6 | + | 16167.1i | −0.466956 | + | 0.578418i | ||||
\(922\) | −10899.6 | − | 1921.90i | −0.389328 | − | 0.0686490i | ||||
\(923\) | 30739.0 | − | 17747.2i | 1.09619 | − | 0.632887i | ||||
\(924\) | 854.637 | − | 515.268i | 0.0304280 | − | 0.0183453i | ||||
\(925\) | −6922.09 | + | 8249.42i | −0.246051 | + | 0.293232i | ||||
\(926\) | −22444.4 | − | 8169.08i | −0.796509 | − | 0.289906i | ||||
\(927\) | −29025.8 | + | 37382.5i | −1.02841 | + | 1.32449i | ||||
\(928\) | −6873.76 | + | 5767.77i | −0.243149 | + | 0.204026i | ||||
\(929\) | −10306.9 | + | 1817.39i | −0.364003 | + | 0.0641836i | −0.352659 | − | 0.935752i | \(-0.614722\pi\) |
−0.0113447 | + | 0.999936i | \(0.503611\pi\) | |||||||
\(930\) | −8426.48 | + | 15255.8i | −0.297113 | + | 0.537911i | ||||
\(931\) | −27365.5 | + | 4946.42i | −0.963339 | + | 0.174127i | ||||
\(932\) | − | 7641.52i | − | 0.268569i | ||||||
\(933\) | −17195.9 | + | 50185.4i | −0.603395 | + | 1.76098i | ||||
\(934\) | 3816.50 | + | 4548.32i | 0.133704 | + | 0.159342i | ||||
\(935\) | 44.3355 | + | 121.811i | 0.00155072 | + | 0.00426058i | ||||
\(936\) | −11006.8 | + | 2374.17i | −0.384367 | + | 0.0829083i | ||||
\(937\) | 14981.6 | + | 12571.0i | 0.522334 | + | 0.438290i | 0.865445 | − | 0.501005i | \(-0.167036\pi\) |
−0.343110 | + | 0.939295i | \(0.611480\pi\) | |||||||
\(938\) | −31598.6 | − | 18243.5i | −1.09993 | − | 0.635043i | ||||
\(939\) | −9905.33 | + | 187.793i | −0.344247 | + | 0.00652652i | ||||
\(940\) | −2569.74 | + | 14573.7i | −0.0891657 | + | 0.505684i | ||||
\(941\) | 8277.58 | − | 46944.5i | 0.286760 | − | 1.62630i | −0.412170 | − | 0.911107i | \(-0.635229\pi\) |
0.698930 | − | 0.715190i | \(-0.253660\pi\) | |||||||
\(942\) | −22747.8 | + | 431.272i | −0.786799 | + | 0.0149168i | ||||
\(943\) | 14702.0 | + | 8488.20i | 0.507702 | + | 0.293122i | ||||
\(944\) | 6967.34 | + | 5846.29i | 0.240220 | + | 0.201568i | ||||
\(945\) | 7681.78 | − | 25537.3i | 0.264432 | − | 0.879078i | ||||
\(946\) | −96.4792 | − | 265.074i | −0.00331586 | − | 0.00911026i | ||||
\(947\) | −7301.71 | − | 8701.84i | −0.250553 | − | 0.298597i | 0.626078 | − | 0.779760i | \(-0.284659\pi\) |
−0.876631 | + | 0.481163i | \(0.840215\pi\) | |||||||
\(948\) | 261.958 | − | 764.512i | 0.00897467 | − | 0.0261922i | ||||
\(949\) | 2251.30i | 0.0770078i | ||||||||
\(950\) | 7680.45 | + | 9073.86i | 0.262302 | + | 0.309889i | ||||
\(951\) | −26795.4 | + | 48512.0i | −0.913669 | + | 1.65416i | ||||
\(952\) | −1978.92 | + | 348.937i | −0.0673710 | + | 0.0118793i | ||||
\(953\) | −774.983 | + | 650.288i | −0.0263422 | + | 0.0221038i | −0.655864 | − | 0.754879i | \(-0.727695\pi\) |
0.629521 | + | 0.776983i | \(0.283251\pi\) | |||||||
\(954\) | −19015.7 | − | 14764.9i | −0.645343 | − | 0.501080i | ||||
\(955\) | 15531.6 | + | 5653.05i | 0.526274 | + | 0.191548i | ||||
\(956\) | 8777.35 | − | 10460.4i | 0.296945 | − | 0.353886i | ||||
\(957\) | −2299.58 | + | 1386.43i | −0.0776748 | + | 0.0468308i | ||||
\(958\) | −6562.34 | + | 3788.77i | −0.221315 | + | 0.127776i | ||||
\(959\) | −31579.9 | − | 5568.38i | −1.06336 | − | 0.187500i | ||||
\(960\) | −1524.06 | + | 1887.85i | −0.0512382 | + | 0.0634688i | ||||
\(961\) | 11522.9 | + | 19958.2i | 0.386790 | + | 0.669940i | ||||
\(962\) | 7821.73 | − | 13547.6i | 0.262144 | − | 0.454047i | ||||
\(963\) | 1110.58 | − | 8078.36i | 0.0371630 | − | 0.270323i | ||||
\(964\) | 7794.55 | − | 21415.4i | 0.260421 | − | 0.715500i | ||||
\(965\) | −4890.99 | + | 1780.17i | −0.163157 | + | 0.0593843i | ||||
\(966\) | −20302.3 | + | 3978.04i | −0.676206 | + | 0.132496i | ||||
\(967\) | −3173.36 | − | 17997.0i | −0.105531 | − | 0.598496i | −0.991007 | − | 0.133811i | \(-0.957279\pi\) |
0.885476 | − | 0.464685i | \(-0.153832\pi\) | |||||||
\(968\) | 10620.8 | 0.352651 | ||||||||
\(969\) | −4147.80 | + | 96.4393i | −0.137509 | + | 0.00319719i | ||||
\(970\) | −9736.69 | −0.322295 | ||||||||
\(971\) | −8372.56 | − | 47483.2i | −0.276713 | − | 1.56932i | −0.733467 | − | 0.679725i | \(-0.762099\pi\) |
0.456755 | − | 0.889593i | \(-0.349012\pi\) | |||||||
\(972\) | −14664.8 | − | 3811.51i | −0.483922 | − | 0.125776i | ||||
\(973\) | 18392.0 | − | 6694.15i | 0.605983 | − | 0.220560i | ||||
\(974\) | −6809.72 | + | 18709.6i | −0.224022 | + | 0.615496i | ||||
\(975\) | −6994.18 | − | 18138.9i | −0.229737 | − | 0.595805i | ||||
\(976\) | −260.110 | + | 450.524i | −0.00853065 | + | 0.0147755i | ||||
\(977\) | −20159.4 | − | 34917.1i | −0.660140 | − | 1.14340i | −0.980579 | − | 0.196126i | \(-0.937164\pi\) |
0.320439 | − | 0.947269i | \(-0.396170\pi\) | |||||||
\(978\) | 12869.8 | + | 10389.7i | 0.420787 | + | 0.339701i | ||||
\(979\) | −2249.79 | − | 396.698i | −0.0734459 | − | 0.0129505i | ||||
\(980\) | 8486.33 | − | 4899.59i | 0.276618 | − | 0.159706i | ||||
\(981\) | −275.459 | − | 7262.06i | −0.00896506 | − | 0.236350i | ||||
\(982\) | 7356.51 | − | 8767.15i | 0.239059 | − | 0.284899i | ||||
\(983\) | −1025.97 | − | 373.421i | −0.0332892 | − | 0.0121163i | 0.325322 | − | 0.945603i | \(-0.394527\pi\) |
−0.358611 | + | 0.933487i | \(0.616750\pi\) | |||||||
\(984\) | −1431.06 | + | 9124.13i | −0.0463624 | + | 0.295596i | ||||
\(985\) | 9336.72 | − | 7834.44i | 0.302023 | − | 0.253427i | ||||
\(986\) | 5324.69 | − | 938.887i | 0.171980 | − | 0.0303248i | ||||
\(987\) | −60091.3 | − | 33191.1i | −1.93792 | − | 1.07040i | ||||
\(988\) | −13276.5 | − | 11043.6i | −0.427510 | − | 0.355610i | ||||
\(989\) | 5847.88i | 0.188020i | ||||||||
\(990\) | −538.103 | + | 487.448i | −0.0172748 | + | 0.0156486i | ||||
\(991\) | 17862.2 | + | 21287.3i | 0.572563 | + | 0.682354i | 0.972155 | − | 0.234339i | \(-0.0752925\pi\) |
−0.399592 | + | 0.916693i | \(0.630848\pi\) | |||||||
\(992\) | 2515.76 | + | 6912.00i | 0.0805197 | + | 0.221226i | ||||
\(993\) | 20355.6 | + | 23345.4i | 0.650518 | + | 0.746067i | ||||
\(994\) | 27178.5 | + | 22805.5i | 0.867255 | + | 0.727713i | ||||
\(995\) | −23681.2 | − | 13672.3i | −0.754516 | − | 0.435620i | ||||
\(996\) | 149.756 | + | 7899.03i | 0.00476426 | + | 0.251295i | ||||
\(997\) | 7563.82 | − | 42896.5i | 0.240269 | − | 1.36263i | −0.590958 | − | 0.806702i | \(-0.701250\pi\) |
0.831227 | − | 0.555932i | \(-0.187639\pi\) | |||||||
\(998\) | 2915.42 | − | 16534.2i | 0.0924710 | − | 0.524429i | ||||
\(999\) | 17602.7 | − | 11544.6i | 0.557484 | − | 0.365619i |
(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 | 114.4.l.b.29.6 | yes | 60 | |
3.2 | odd | 2 | 114.4.l.a.29.9 | ✓ | 60 | ||
19.2 | odd | 18 | 114.4.l.a.59.9 | yes | 60 | ||
57.2 | even | 18 | inner | 114.4.l.b.59.6 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.4.l.a.29.9 | ✓ | 60 | 3.2 | odd | 2 | ||
114.4.l.a.59.9 | yes | 60 | 19.2 | odd | 18 | ||
114.4.l.b.29.6 | yes | 60 | 1.1 | even | 1 | trivial | |
114.4.l.b.59.6 | yes | 60 | 57.2 | even | 18 | inner |