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 | 29.9 | ||
Character | \(\chi\) | \(=\) | 114.29 |
Dual form | 114.4.l.a.59.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) |
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 | ||||
\(3\) | 4.84822 | + | 1.86942i | 0.933041 | + | 0.359771i | ||||
\(4\) | −3.75877 | + | 1.36808i | −0.469846 | + | 0.171010i | ||||
\(5\) | −2.49532 | + | 6.85584i | −0.223188 | + | 0.613205i | −0.999861 | − | 0.0167000i | \(-0.994684\pi\) |
0.776672 | + | 0.629905i | \(0.216906\pi\) | |||||||
\(6\) | 1.99828 | − | 10.1984i | 0.135966 | − | 0.693912i | ||||
\(7\) | −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 | ||||
\(9\) | 20.0105 | + | 18.1268i | 0.741130 | + | 0.671362i | ||||
\(10\) | 14.3700 | + | 2.53382i | 0.454419 | + | 0.0801263i | ||||
\(11\) | −1.59600 | + | 0.921452i | −0.0437466 | + | 0.0252571i | −0.521714 | − | 0.853121i | \(-0.674707\pi\) |
0.477967 | + | 0.878378i | \(0.341374\pi\) | |||||||
\(12\) | −20.7809 | − | 0.393981i | −0.499910 | − | 0.00947770i | ||||
\(13\) | −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 | ||||
\(15\) | −24.9144 | + | 28.5738i | −0.428857 | + | 0.491849i | ||||
\(16\) | 12.2567 | − | 10.2846i | 0.191511 | − | 0.160697i | ||||
\(17\) | 9.49454 | − | 1.67414i | 0.135457 | − | 0.0238847i | −0.105509 | − | 0.994418i | \(-0.533647\pi\) |
0.240965 | + | 0.970534i | \(0.422536\pi\) | |||||||
\(18\) | 28.7532 | − | 45.7084i | 0.376511 | − | 0.598531i | ||||
\(19\) | 27.9917 | − | 77.9453i | 0.337986 | − | 0.941151i | ||||
\(20\) | − | 29.1833i | − | 0.326280i | ||||||
\(21\) | −105.336 | + | 85.0375i | −1.09458 | + | 0.883653i | ||||
\(22\) | 2.36919 | + | 2.82349i | 0.0229597 | + | 0.0273623i | ||||
\(23\) | 26.1337 | + | 71.8017i | 0.236924 | + | 0.650943i | 0.999989 | + | 0.00462191i | \(0.00147121\pi\) |
−0.763065 | + | 0.646321i | \(0.776307\pi\) | |||||||
\(24\) | 6.44113 | + | 41.0672i | 0.0547829 | + | 0.349283i | ||||
\(25\) | 54.9796 | + | 46.1334i | 0.439837 | + | 0.369067i | ||||
\(26\) | 90.2904 | + | 52.1292i | 0.681054 | + | 0.393207i | ||||
\(27\) | 63.1287 | + | 125.291i | 0.449968 | + | 0.893045i | ||||
\(28\) | 18.0965 | − | 102.630i | 0.122140 | − | 0.692690i | ||||
\(29\) | 48.6924 | − | 276.148i | 0.311791 | − | 1.76826i | −0.277884 | − | 0.960615i | \(-0.589633\pi\) |
0.589675 | − | 0.807641i | \(-0.299256\pi\) | |||||||
\(30\) | 64.9321 | + | 39.1481i | 0.395164 | + | 0.238248i | ||||
\(31\) | 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 | ||||
\(33\) | −9.46036 | + | 1.48380i | −0.0499041 | + | 0.00782716i | ||||
\(34\) | −6.59484 | − | 18.1192i | −0.0332649 | − | 0.0913945i | ||||
\(35\) | −122.182 | − | 145.611i | −0.590072 | − | 0.703220i | ||||
\(36\) | −100.014 | − | 40.7584i | −0.463027 | − | 0.188696i | ||||
\(37\) | 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 | −0.258256 | − | 0.966077i | \(-0.583148\pi\) |
0.906554 | + | 0.422090i | \(0.138703\pi\) | |||||||
\(42\) | 204.074 | + | 177.938i | 0.749746 | + | 0.653725i | ||||
\(43\) | −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 | ||||
\(45\) | −174.207 | + | 91.9567i | −0.577094 | + | 0.304624i | ||||
\(46\) | 132.346 | − | 76.4098i | 0.424202 | − | 0.244913i | ||||
\(47\) | −499.385 | − | 88.0551i | −1.54985 | − | 0.273280i | −0.667764 | − | 0.744373i | \(-0.732749\pi\) |
−0.882084 | + | 0.471093i | \(0.843860\pi\) | |||||||
\(48\) | 78.6495 | − | 26.9490i | 0.236502 | − | 0.0810366i | ||||
\(49\) | −167.890 | − | 290.794i | −0.489475 | − | 0.847795i | ||||
\(50\) | 71.7708 | − | 124.311i | 0.202999 | − | 0.351604i | ||||
\(51\) | 49.1613 | + | 9.63271i | 0.134980 | + | 0.0264480i | ||||
\(52\) | 71.3169 | − | 195.942i | 0.190190 | − | 0.522543i | ||||
\(53\) | −418.944 | + | 152.483i | −1.08578 | + | 0.395192i | −0.822056 | − | 0.569406i | \(-0.807173\pi\) |
−0.263725 | + | 0.964598i | \(0.584951\pi\) | |||||||
\(54\) | 224.850 | − | 167.852i | 0.566634 | − | 0.422996i | ||||
\(55\) | −2.33479 | − | 13.2413i | −0.00572406 | − | 0.0324627i | ||||
\(56\) | −208.427 | −0.497362 | ||||||||
\(57\) | 281.423 | − | 325.568i | 0.653953 | − | 0.756535i | ||||
\(58\) | −560.816 | −1.26963 | ||||||||
\(59\) | −98.7105 | − | 559.815i | −0.217814 | − | 1.23528i | −0.875957 | − | 0.482390i | \(-0.839769\pi\) |
0.658143 | − | 0.752893i | \(-0.271342\pi\) | |||||||
\(60\) | 54.5560 | − | 141.487i | 0.117386 | − | 0.304432i | ||||
\(61\) | −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 | ||||
\(63\) | −669.663 | + | 215.363i | −1.33920 | + | 0.430686i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −190.163 | − | 329.372i | −0.362874 | − | 0.628516i | ||||
\(66\) | 6.20806 | + | 18.1179i | 0.0115782 | + | 0.0337904i | ||||
\(67\) | 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 | ||||
\(69\) | −7.52600 | + | 396.966i | −0.0131308 | + | 0.692595i | ||||
\(70\) | −244.364 | + | 291.221i | −0.417244 | + | 0.497252i | ||||
\(71\) | 639.828 | + | 232.879i | 1.06949 | + | 0.389262i | 0.815985 | − | 0.578073i | \(-0.196195\pi\) |
0.253503 | + | 0.967335i | \(0.418417\pi\) | |||||||
\(72\) | −45.5439 | + | 211.144i | −0.0745473 | + | 0.345605i | ||||
\(73\) | 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 | ||||||
\(78\) | 340.296 | + | 421.525i | 0.493987 | + | 0.611901i | ||||
\(79\) | 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 | ||||
\(81\) | 71.8404 | + | 725.452i | 0.0985466 | + | 0.995132i | ||||
\(82\) | −340.393 | − | 285.624i | −0.458416 | − | 0.384657i | ||||
\(83\) | 329.185 | + | 190.055i | 0.435335 | + | 0.251341i | 0.701617 | − | 0.712555i | \(-0.252462\pi\) |
−0.266282 | + | 0.963895i | \(0.585795\pi\) | |||||||
\(84\) | 279.596 | − | 463.745i | 0.363171 | − | 0.602365i | ||||
\(85\) | −12.2143 | + | 69.2706i | −0.0155862 | + | 0.0883935i | ||||
\(86\) | −26.5797 | + | 150.741i | −0.0333274 | + | 0.189009i | ||||
\(87\) | 752.309 | − | 1247.80i | 0.927081 | − | 1.53768i | ||||
\(88\) | −12.7680 | − | 7.37162i | −0.0154668 | − | 0.00892974i | ||||
\(89\) | 949.601 | + | 796.810i | 1.13098 | + | 0.949008i | 0.999107 | − | 0.0422582i | \(-0.0134552\pi\) |
0.131877 | + | 0.991266i | \(0.457900\pi\) | |||||||
\(90\) | 241.621 | + | 311.184i | 0.282990 | + | 0.364463i | ||||
\(91\) | −464.512 | − | 1276.24i | −0.535100 | − | 1.47018i | ||||
\(92\) | −196.461 | − | 234.133i | −0.222636 | − | 0.265327i | ||||
\(93\) | 750.264 | + | 929.352i | 0.836546 | + | 1.03623i | ||||
\(94\) | 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 | ||||
\(99\) | −48.6397 | − | 10.4916i | −0.0493786 | − | 0.0106510i | ||||
\(100\) | −269.770 | − | 98.1883i | −0.269770 | − | 0.0981883i | ||||
\(101\) | −103.855 | + | 123.770i | −0.102317 | + | 0.121936i | −0.814773 | − | 0.579780i | \(-0.803138\pi\) |
0.712456 | + | 0.701717i | \(0.247583\pi\) | |||||||
\(102\) | 1.89919 | − | 100.174i | 0.00184360 | − | 0.0972425i | ||||
\(103\) | 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 | ||||
\(105\) | −320.157 | − | 934.363i | −0.297563 | − | 0.868424i | ||||
\(106\) | 445.831 | + | 772.202i | 0.408518 | + | 0.707574i | ||||
\(107\) | 151.006 | − | 261.550i | 0.136433 | − | 0.236309i | −0.789711 | − | 0.613479i | \(-0.789770\pi\) |
0.926144 | + | 0.377170i | \(0.123103\pi\) | |||||||
\(108\) | −408.694 | − | 384.574i | −0.364135 | − | 0.342645i | ||||
\(109\) | −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 | ||||
\(111\) | −280.498 | + | 727.452i | −0.239853 | + | 0.622042i | ||||
\(112\) | 72.3860 | + | 410.521i | 0.0610700 | + | 0.346345i | ||||
\(113\) | −458.861 | −0.382000 | −0.191000 | − | 0.981590i | \(-0.561173\pi\) | ||||
−0.191000 | + | 0.981590i | \(0.561173\pi\) | |||||||
\(114\) | −738.980 | − | 441.226i | −0.607121 | − | 0.362496i | ||||
\(115\) | −557.473 | −0.452040 | ||||||||
\(116\) | 194.769 | + | 1104.59i | 0.155896 | + | 0.884128i | ||||
\(117\) | −1394.37 | + | 191.693i | −1.10179 | + | 0.151470i | ||||
\(118\) | −1068.34 | + | 388.843i | −0.833462 | + | 0.303355i | ||||
\(119\) | −85.9090 | + | 236.033i | −0.0661787 | + | 0.181824i | ||||
\(120\) | −297.623 | − | 58.3164i | −0.226409 | − | 0.0443628i | ||||
\(121\) | −663.802 | + | 1149.74i | −0.498724 | + | 0.863816i | ||||
\(122\) | 32.5137 | + | 56.3155i | 0.0241283 | + | 0.0417915i | ||||
\(123\) | 1092.13 | − | 374.214i | 0.800599 | − | 0.274323i | ||||
\(124\) | −905.481 | − | 159.661i | −0.655763 | − | 0.115629i | ||||
\(125\) | −1243.27 | + | 717.804i | −0.889613 | + | 0.513618i | ||||
\(126\) | 656.754 | + | 1244.18i | 0.464352 | + | 0.879689i | ||||
\(127\) | 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 | ||||
\(129\) | −299.738 | − | 261.351i | −0.204577 | − | 0.178377i | ||||
\(130\) | −582.693 | + | 488.938i | −0.393120 | + | 0.329867i | ||||
\(131\) | 2684.77 | − | 473.397i | 1.79060 | − | 0.315732i | 0.822969 | − | 0.568087i | \(-0.192316\pi\) |
0.967635 | + | 0.252355i | \(0.0812050\pi\) | |||||||
\(132\) | 33.5293 | − | 18.5198i | 0.0221088 | − | 0.0122117i | ||||
\(133\) | 1394.03 | + | 1646.94i | 0.908857 | + | 1.07375i | ||||
\(134\) | − | 1400.47i | − | 0.902850i | ||||||
\(135\) | −1016.50 | + | 120.160i | −0.648047 | + | 0.0766052i | ||||
\(136\) | 49.5770 | + | 59.0835i | 0.0312588 | + | 0.0372527i | ||||
\(137\) | −420.965 | − | 1156.59i | −0.262522 | − | 0.721272i | −0.998996 | − | 0.0448065i | \(-0.985733\pi\) |
0.736474 | − | 0.676466i | \(-0.236489\pi\) | |||||||
\(138\) | 784.483 | − | 123.041i | 0.483911 | − | 0.0758984i | ||||
\(139\) | −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 | ||||
\(141\) | −2256.52 | − | 1360.47i | −1.34775 | − | 0.812572i | ||||
\(142\) | 236.471 | − | 1341.09i | 0.139748 | − | 0.792550i | ||||
\(143\) | 16.6822 | − | 94.6096i | 0.00975551 | − | 0.0553262i | ||||
\(144\) | 431.690 | + | 16.3745i | 0.249820 | + | 0.00947600i | ||||
\(145\) | 1771.72 | + | 1022.91i | 1.01471 | + | 0.585846i | ||||
\(146\) | −66.1663 | − | 55.5201i | −0.0375066 | − | 0.0314718i | ||||
\(147\) | −270.350 | − | 1723.69i | −0.151688 | − | 0.967127i | ||||
\(148\) | −205.274 | − | 563.985i | −0.114009 | − | 0.313238i | ||||
\(149\) | 1204.45 | + | 1435.41i | 0.662231 | + | 0.789216i | 0.987704 | − | 0.156335i | \(-0.0499679\pi\) |
−0.325473 | + | 0.945551i | \(0.605523\pi\) | |||||||
\(150\) | 580.350 | − | 468.516i | 0.315903 | − | 0.255028i | ||||
\(151\) | − | 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 | ||||
\(156\) | 712.059 | − | 816.647i | 0.365451 | − | 0.419129i | ||||
\(157\) | 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 | ||||
\(159\) | −2316.19 | − | 43.9122i | −1.15526 | − | 0.0219023i | ||||
\(160\) | 202.188 | − | 116.733i | 0.0999023 | − | 0.0576786i | ||||
\(161\) | −1960.49 | − | 345.688i | −0.959679 | − | 0.169217i | ||||
\(162\) | 1403.91 | − | 393.445i | 0.680874 | − | 0.190814i | ||||
\(163\) | −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 | ||||
\(165\) | 13.4339 | − | 68.5612i | 0.00633837 | − | 0.0323484i | ||||
\(166\) | 260.011 | − | 714.374i | 0.121571 | − | 0.334013i | ||||
\(167\) | −2890.56 | + | 1052.08i | −1.33939 | + | 0.487498i | −0.909620 | − | 0.415441i | \(-0.863627\pi\) |
−0.429769 | + | 0.902939i | \(0.641405\pi\) | |||||||
\(168\) | −1010.50 | − | 389.639i | −0.464059 | − | 0.178936i | ||||
\(169\) | −90.3758 | − | 512.547i | −0.0411360 | − | 0.233294i | ||||
\(170\) | 140.678 | 0.0634679 | ||||||||
\(171\) | 1973.02 | − | 1052.33i | 0.882344 | − | 0.470604i | ||||
\(172\) | 306.132 | 0.135711 | ||||||||
\(173\) | 573.581 | + | 3252.94i | 0.252073 | + | 1.42958i | 0.803476 | + | 0.595337i | \(0.202981\pi\) |
−0.551404 | + | 0.834239i | \(0.685908\pi\) | |||||||
\(174\) | −2718.96 | − | 1048.40i | −1.18462 | − | 0.456777i | ||||
\(175\) | −1757.11 | + | 639.535i | −0.758999 | + | 0.276253i | ||||
\(176\) | −10.0850 | + | 27.7082i | −0.00431922 | + | 0.0118670i | ||||
\(177\) | 567.962 | − | 2898.64i | 0.241190 | − | 1.23093i | ||||
\(178\) | 1239.62 | − | 2147.08i | 0.521984 | − | 0.904103i | ||||
\(179\) | −747.398 | − | 1294.53i | −0.312085 | − | 0.540546i | 0.666729 | − | 0.745300i | \(-0.267694\pi\) |
−0.978813 | + | 0.204754i | \(0.934361\pi\) | |||||||
\(180\) | 529.000 | − | 583.973i | 0.219052 | − | 0.241815i | ||||
\(181\) | 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 | ||||
\(183\) | −168.916 | − | 3.20245i | −0.0682330 | − | 0.00129362i | ||||
\(184\) | −392.922 | + | 468.266i | −0.157427 | + | 0.187614i | ||||
\(185\) | −1028.68 | − | 374.411i | −0.408813 | − | 0.148796i | ||||
\(186\) | 1569.90 | − | 1800.49i | 0.618875 | − | 0.709777i | ||||
\(187\) | −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 | \(-0.858825\pi\) | ||
0.903249 | − | 0.429117i | \(-0.141175\pi\) | |||||||
\(192\) | −258.757 | + | 208.894i | −0.0972614 | + | 0.0785189i | ||||
\(193\) | −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 | ||||
\(195\) | −306.216 | − | 1952.36i | −0.112454 | − | 0.716983i | ||||
\(196\) | 1028.89 | + | 863.340i | 0.374960 | + | 0.314628i | ||||
\(197\) | −1446.76 | − | 835.287i | −0.523235 | − | 0.302090i | 0.215022 | − | 0.976609i | \(-0.431018\pi\) |
−0.738257 | + | 0.674519i | \(0.764351\pi\) | |||||||
\(198\) | −3.77209 | + | 99.4453i | −0.00135389 | + | 0.0356933i | ||||
\(199\) | 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 | ||||
\(201\) | 3116.00 | + | 1878.66i | 1.09346 | + | 0.659257i | ||||
\(202\) | 279.847 | + | 161.570i | 0.0974752 | + | 0.0562774i | ||||
\(203\) | 5596.40 | + | 4695.94i | 1.93493 | + | 1.62360i | ||||
\(204\) | −197.964 | + | 31.0495i | −0.0679426 | + | 0.0106564i | ||||
\(205\) | 554.400 | + | 1523.20i | 0.188883 | + | 0.518951i | ||||
\(206\) | −2253.47 | − | 2685.59i | −0.762170 | − | 0.908318i | ||||
\(207\) | −778.585 | + | 1910.51i | −0.261427 | + | 0.641495i | ||||
\(208\) | 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 | ||||
\(213\) | 2666.68 | + | 2325.16i | 0.857831 | + | 0.747968i | ||||
\(214\) | −567.598 | − | 206.589i | −0.181309 | − | 0.0659912i | ||||
\(215\) | 358.915 | − | 427.738i | 0.113850 | − | 0.135681i | ||||
\(216\) | −615.525 | + | 938.531i | −0.193894 | + | 0.295643i | ||||
\(217\) | −5186.36 | + | 2994.35i | −1.62246 | + | 0.936726i | ||||
\(218\) | 530.139 | + | 93.4777i | 0.164704 | + | 0.0290418i | ||||
\(219\) | 212.290 | − | 72.7404i | 0.0655032 | − | 0.0224445i | ||||
\(220\) | 26.8910 | + | 46.5766i | 0.00824088 | + | 0.0142736i | ||||
\(221\) | −251.289 | + | 435.245i | −0.0764866 | + | 0.132479i | ||||
\(222\) | 1530.22 | + | 299.832i | 0.462619 | + | 0.0906459i | ||||
\(223\) | −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 | ||||
\(225\) | 263.921 | + | 1919.76i | 0.0781987 | + | 0.568816i | ||||
\(226\) | 159.361 | + | 903.779i | 0.0469049 | + | 0.266011i | ||||
\(227\) | −1868.57 | −0.546350 | −0.273175 | − | 0.961964i | \(-0.588074\pi\) | ||||
−0.273175 | + | 0.961964i | \(0.588074\pi\) | |||||||
\(228\) | −612.400 | + | 1608.74i | −0.177882 | + | 0.467288i | ||||
\(229\) | −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 | ||||
\(231\) | 89.7584 | − | 232.782i | 0.0255657 | − | 0.0663028i | ||||
\(232\) | 2107.98 | − | 767.242i | 0.596533 | − | 0.217120i | ||||
\(233\) | 653.389 | − | 1795.17i | 0.183712 | − | 0.504745i | −0.813313 | − | 0.581827i | \(-0.802338\pi\) |
0.997025 | + | 0.0770820i | \(0.0245603\pi\) | |||||||
\(234\) | 861.823 | + | 2679.81i | 0.240765 | + | 0.748651i | ||||
\(235\) | 1849.82 | − | 3203.98i | 0.513485 | − | 0.889382i | ||||
\(236\) | 1136.90 | + | 1969.17i | 0.313585 | + | 0.543145i | ||||
\(237\) | 65.4894 | + | 191.128i | 0.0179493 | + | 0.0523844i | ||||
\(238\) | 494.730 | + | 87.2343i | 0.134742 | + | 0.0237586i | ||||
\(239\) | 2956.42 | − | 1706.89i | 0.800147 | − | 0.461965i | −0.0433756 | − | 0.999059i | \(-0.513811\pi\) |
0.843523 | + | 0.537094i | \(0.180478\pi\) | |||||||
\(240\) | −11.4977 | + | 606.455i | −0.00309238 | + | 0.163110i | ||||
\(241\) | −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 | ||||
\(243\) | −1007.88 | + | 3651.45i | −0.266072 | + | 0.963953i | ||||
\(244\) | 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 | ||||||||
\(249\) | 1240.67 | + | 1536.82i | 0.315760 | + | 0.391132i | ||||
\(250\) | 1845.58 | + | 2199.48i | 0.466899 | + | 0.556429i | ||||
\(251\) | 8.55188 | + | 23.4961i | 0.00215056 | + | 0.00590861i | 0.940763 | − | 0.339064i | \(-0.110110\pi\) |
−0.938613 | + | 0.344973i | \(0.887888\pi\) | |||||||
\(252\) | 2222.48 | − | 1725.65i | 0.555567 | − | 0.431373i | ||||
\(253\) | −107.871 | − | 90.5147i | −0.0268056 | − | 0.0224925i | ||||
\(254\) | −4646.75 | − | 2682.80i | −1.14789 | − | 0.662733i | ||||
\(255\) | −188.714 | + | 313.005i | −0.0463439 | + | 0.0768673i | ||||
\(256\) | 44.4539 | − | 252.111i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 1168.14 | − | 6624.85i | 0.283527 | − | 1.60796i | −0.426971 | − | 0.904265i | \(-0.640419\pi\) |
0.710499 | − | 0.703699i | \(-0.248469\pi\) | |||||||
\(258\) | −410.662 | + | 681.136i | −0.0990958 | + | 0.164363i | ||||
\(259\) | −3385.45 | − | 1954.59i | −0.812208 | − | 0.468928i | ||||
\(260\) | 1165.39 | + | 977.875i | 0.277978 | + | 0.233251i | ||||
\(261\) | 5980.03 | − | 4643.23i | 1.41822 | − | 1.10118i | ||||
\(262\) | −1864.82 | − | 5123.55i | −0.439729 | − | 1.20814i | ||||
\(263\) | −15.9873 | − | 19.0530i | −0.00374837 | − | 0.00446714i | 0.764167 | − | 0.645018i | \(-0.223150\pi\) |
−0.767915 | + | 0.640551i | \(0.778706\pi\) | |||||||
\(264\) | −48.1215 | − | 59.6081i | −0.0112185 | − | 0.0138963i | ||||
\(265\) | − | 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 | −0.145465 | − | 0.989363i | \(-0.546468\pi\) |
0.949073 | + | 0.315056i | \(0.102023\pi\) | |||||||
\(270\) | 589.695 | + | 1960.38i | 0.132917 | + | 0.441871i | ||||
\(271\) | 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 | ||||
\(273\) | 133.771 | − | 7055.85i | 0.0296563 | − | 1.56425i | ||||
\(274\) | −2131.84 | + | 1230.82i | −0.470034 | + | 0.271374i | ||||
\(275\) | −130.257 | − | 22.9679i | −0.0285629 | − | 0.00503642i | ||||
\(276\) | −514.792 | − | 1502.40i | −0.112271 | − | 0.327659i | ||||
\(277\) | −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 | ||||
\(279\) | 1900.09 | + | 5908.27i | 0.407726 | + | 1.26781i | ||||
\(280\) | 520.093 | − | 1428.94i | 0.111005 | − | 0.304985i | ||||
\(281\) | −7863.86 | + | 2862.21i | −1.66946 | + | 0.607634i | −0.991807 | − | 0.127747i | \(-0.959226\pi\) |
−0.677654 | + | 0.735381i | \(0.737003\pi\) | |||||||
\(282\) | −1895.93 | + | 4916.96i | −0.400358 | + | 1.03830i | ||||
\(283\) | −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 | ||||||||
\(285\) | 1529.80 | + | 2741.78i | 0.317956 | + | 0.569857i | ||||
\(286\) | −192.138 | −0.0397251 | ||||||||
\(287\) | 1005.15 | + | 5700.50i | 0.206732 | + | 1.17244i | ||||
\(288\) | −117.673 | − | 855.949i | −0.0240761 | − | 0.175129i | ||||
\(289\) | −4529.37 | + | 1648.55i | −0.921915 | + | 0.335549i | ||||
\(290\) | 1399.42 | − | 3844.87i | 0.283368 | − | 0.778546i | ||||
\(291\) | −3402.57 | − | 666.703i | −0.685438 | − | 0.134305i | ||||
\(292\) | −86.3740 | + | 149.604i | −0.0173105 | + | 0.0299826i | ||||
\(293\) | 3269.15 | + | 5662.33i | 0.651828 | + | 1.12900i | 0.982679 | + | 0.185316i | \(0.0593310\pi\) |
−0.330851 | + | 0.943683i | \(0.607336\pi\) | |||||||
\(294\) | −3301.12 | + | 1131.12i | −0.654847 | + | 0.224381i | ||||
\(295\) | 4084.32 | + | 720.175i | 0.806095 | + | 0.142136i | ||||
\(296\) | −1039.54 | + | 600.180i | −0.204129 | + | 0.117854i | ||||
\(297\) | −216.203 | − | 141.794i | −0.0422403 | − | 0.0277028i | ||||
\(298\) | 2408.90 | − | 2870.82i | 0.468268 | − | 0.558060i | ||||
\(299\) | −3742.97 | − | 1362.33i | −0.723951 | − | 0.263497i | ||||
\(300\) | −1124.35 | − | 980.353i | −0.216381 | − | 0.188669i | ||||
\(301\) | 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 | ||||||
\(306\) | 196.476 | − | 482.117i | 0.0367052 | − | 0.0900679i | ||||
\(307\) | 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 | ||||
\(309\) | 8998.28 | − | 1411.33i | 1.65662 | − | 0.259830i | ||||
\(310\) | 2569.37 | + | 2155.96i | 0.470743 | + | 0.395001i | ||||
\(311\) | −8841.61 | − | 5104.71i | −1.61210 | − | 0.930744i | −0.988884 | − | 0.148692i | \(-0.952494\pi\) |
−0.623213 | − | 0.782053i | \(-0.714173\pi\) | |||||||
\(312\) | −1855.78 | − | 1118.86i | −0.336739 | − | 0.203023i | ||||
\(313\) | −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 | ||||
\(315\) | 194.531 | − | 5128.51i | 0.0347954 | − | 0.917329i | ||||
\(316\) | −134.691 | − | 77.7639i | −0.0239777 | − | 0.0138435i | ||||
\(317\) | −8170.35 | − | 6855.74i | −1.44761 | − | 1.21469i | −0.934301 | − | 0.356486i | \(-0.883975\pi\) |
−0.513309 | − | 0.858204i | \(-0.671581\pi\) | |||||||
\(318\) | 717.914 | + | 4577.25i | 0.126599 | + | 0.807168i | ||||
\(319\) | 176.744 | + | 485.600i | 0.0310212 | + | 0.0852301i | ||||
\(320\) | −300.139 | − | 357.692i | −0.0524321 | − | 0.0624862i | ||||
\(321\) | 1221.06 | − | 985.760i | 0.212315 | − | 0.171401i | ||||
\(322\) | 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 | ||||
\(327\) | −919.142 | + | 1054.15i | −0.155439 | + | 0.178271i | ||||
\(328\) | 1670.22 | + | 607.909i | 0.281165 | + | 0.102336i | ||||
\(329\) | 8492.12 | − | 10120.5i | 1.42306 | − | 1.69593i | ||||
\(330\) | −139.705 | − | 2.64864i | −0.0233045 | − | 0.000441826i | ||||
\(331\) | 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 | ||||
\(333\) | −2719.83 | + | 3002.48i | −0.447585 | + | 0.494098i | ||||
\(334\) | 3076.07 | + | 5327.90i | 0.503937 | + | 0.872844i | ||||
\(335\) | −2554.39 | + | 4424.34i | −0.416601 | + | 0.721574i | ||||
\(336\) | −416.496 | + | 2125.62i | −0.0676241 | + | 0.345125i | ||||
\(337\) | 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 | ||||
\(339\) | −2224.66 | − | 857.805i | −0.356421 | − | 0.137432i | ||||
\(340\) | −48.8571 | − | 277.082i | −0.00779308 | − | 0.0441968i | ||||
\(341\) | −423.614 | −0.0672727 | ||||||||
\(342\) | −2757.90 | − | 3520.63i | −0.436053 | − | 0.556649i | ||||
\(343\) | −188.111 | −0.0296123 | ||||||||
\(344\) | −106.319 | − | 602.963i | −0.0166637 | − | 0.0945046i | ||||
\(345\) | −2702.75 | − | 1042.15i | −0.421772 | − | 0.162631i | ||||
\(346\) | 6207.84 | − | 2259.47i | 0.964554 | − | 0.351069i | ||||
\(347\) | 2068.78 | − | 5683.93i | 0.320052 | − | 0.879335i | −0.670465 | − | 0.741941i | \(-0.733905\pi\) |
0.990517 | − | 0.137394i | \(-0.0438725\pi\) | |||||||
\(348\) | −1120.67 | + | 5719.41i | −0.172627 | + | 0.881014i | ||||
\(349\) | 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 | ||||
\(351\) | −7118.59 | − | 1677.30i | −1.08251 | − | 0.255065i | ||||
\(352\) | 58.0770 | + | 10.2405i | 0.00879408 | + | 0.00155063i | ||||
\(353\) | −1407.22 | + | 812.458i | −0.212178 | + | 0.122501i | −0.602323 | − | 0.798252i | \(-0.705758\pi\) |
0.390145 | + | 0.920753i | \(0.372425\pi\) | |||||||
\(354\) | −5906.45 | − | 111.979i | −0.886792 | − | 0.0168125i | ||||
\(355\) | −3193.16 | + | 3805.46i | −0.477395 | + | 0.568937i | ||||
\(356\) | −4659.43 | − | 1695.90i | −0.693678 | − | 0.252478i | ||||
\(357\) | −857.752 | + | 983.740i | −0.127163 | + | 0.145840i | ||||
\(358\) | −2290.16 | + | 1921.67i | −0.338097 | + | 0.283697i | ||||
\(359\) | 9516.37 | − | 1677.99i | 1.39904 | − | 0.246688i | 0.577290 | − | 0.816539i | \(-0.304110\pi\) |
0.821748 | + | 0.569851i | \(0.192999\pi\) | |||||||
\(360\) | −1333.92 | − | 839.114i | −0.195289 | − | 0.122848i | ||||
\(361\) | −5291.93 | − | 4363.64i | −0.771531 | − | 0.636191i | ||||
\(362\) | − | 2912.40i | − | 0.422851i | ||||||
\(363\) | −5367.61 | + | 4333.26i | −0.776106 | + | 0.626549i | ||||
\(364\) | 3491.99 | + | 4161.59i | 0.502830 | + | 0.599249i | ||||
\(365\) | 107.765 | + | 296.083i | 0.0154540 | + | 0.0424594i | ||||
\(366\) | 52.3563 | + | 333.812i | 0.00747735 | + | 0.0476738i | ||||
\(367\) | 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 | ||||
\(369\) | 5994.44 | + | 227.376i | 0.845685 | + | 0.0320779i | ||||
\(370\) | −380.187 | + | 2156.15i | −0.0534188 | + | 0.302953i | ||||
\(371\) | 2017.00 | − | 11438.9i | 0.282257 | − | 1.60076i | ||||
\(372\) | −4091.50 | − | 2466.80i | −0.570254 | − | 0.343811i | ||||
\(373\) | −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 | ||||
\(375\) | −7369.54 | + | 1155.87i | −1.01483 | + | 0.159170i | ||||
\(376\) | −1387.48 | − | 3812.06i | −0.190302 | − | 0.522852i | ||||
\(377\) | 9395.92 | + | 11197.6i | 1.28359 | + | 1.52973i | ||||
\(378\) | 858.180 | + | 7259.84i | 0.116773 | + | 0.987846i | ||||
\(379\) | − | 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 | \(0.566219\pi\) |
−0.999439 | + | 0.0334950i | \(0.989336\pi\) | |||||||
\(384\) | 501.307 | + | 437.104i | 0.0666203 | + | 0.0580882i | ||||
\(385\) | 329.176 | + | 119.810i | 0.0435749 | + | 0.0158600i | ||||
\(386\) | −917.135 | + | 1093.00i | −0.120935 | + | 0.144125i | ||||
\(387\) | −964.623 | − | 1827.42i | −0.126704 | − | 0.240034i | ||||
\(388\) | 2311.52 | − | 1334.55i | 0.302447 | − | 0.174618i | ||||
\(389\) | −7480.61 | − | 1319.03i | −0.975017 | − | 0.171922i | −0.336630 | − | 0.941637i | \(-0.609287\pi\) |
−0.638387 | + | 0.769715i | \(0.720398\pi\) | |||||||
\(390\) | −3739.06 | + | 1281.18i | −0.485473 | + | 0.166346i | ||||
\(391\) | 368.334 | + | 637.973i | 0.0476405 | + | 0.0825158i | ||||
\(392\) | 1343.12 | − | 2326.35i | 0.173056 | − | 0.299741i | ||||
\(393\) | 13901.3 | + | 2723.84i | 1.78430 | + | 0.349617i | ||||
\(394\) | −1142.74 | + | 3139.65i | −0.146118 | + | 0.401455i | ||||
\(395\) | −266.568 | + | 97.0230i | −0.0339557 | + | 0.0123589i | ||||
\(396\) | 197.179 | − | 27.1074i | 0.0250218 | − | 0.00343990i | ||||
\(397\) | 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 | ||||||||
\(399\) | 3679.74 | + | 10590.8i | 0.461698 | + | 1.32883i | ||||
\(400\) | 1148.33 | 0.143542 | ||||||||
\(401\) | 1415.45 | + | 8027.42i | 0.176270 | + | 0.999676i | 0.936668 | + | 0.350219i | \(0.113893\pi\) |
−0.760398 | + | 0.649457i | \(0.774996\pi\) | |||||||
\(402\) | 2618.07 | − | 6789.77i | 0.324819 | − | 0.842395i | ||||
\(403\) | −11259.9 | + | 4098.27i | −1.39180 | + | 0.506574i | ||||
\(404\) | 221.041 | − | 607.305i | 0.0272208 | − | 0.0747884i | ||||
\(405\) | −5152.85 | − | 1317.71i | −0.632215 | − | 0.161673i | ||||
\(406\) | 7305.58 | − | 12653.6i | 0.893030 | − | 1.54677i | ||||
\(407\) | −138.259 | − | 239.472i | −0.0168385 | − | 0.0291651i | ||||
\(408\) | 129.908 | + | 379.130i | 0.0157632 | + | 0.0460043i | ||||
\(409\) | 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 | ||||
\(411\) | 121.230 | − | 6394.37i | 0.0145494 | − | 0.767424i | ||||
\(412\) | −4506.95 | + | 5371.17i | −0.538935 | + | 0.642278i | ||||
\(413\) | 13916.9 | + | 5065.35i | 1.65813 | + | 0.603509i | ||||
\(414\) | 4033.37 | + | 870.001i | 0.478814 | + | 0.103281i | ||||
\(415\) | −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 | \(0.0437877\pi\) | ||||
−0.990553 | + | 0.137130i | \(0.956212\pi\) | |||||||
\(420\) | 2481.68 | + | 3074.06i | 0.288318 | + | 0.357139i | ||||
\(421\) | −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 | ||||
\(423\) | −8396.80 | − | 10814.3i | −0.965169 | − | 1.24304i | ||||
\(424\) | −2732.21 | − | 2292.60i | −0.312943 | − | 0.262590i | ||||
\(425\) | 599.240 | + | 345.972i | 0.0683939 | + | 0.0394873i | ||||
\(426\) | 3653.54 | − | 6059.86i | 0.415527 | − | 0.689204i | ||||
\(427\) | 147.096 | − | 834.225i | 0.0166709 | − | 0.0945456i | ||||
\(428\) | −209.776 | + | 1189.70i | −0.0236913 | + | 0.134360i | ||||
\(429\) | 257.745 | − | 427.502i | 0.0290071 | − | 0.0481119i | ||||
\(430\) | −967.129 | − | 558.372i | −0.108463 | − | 0.0626212i | ||||
\(431\) | −2810.35 | − | 2358.16i | −0.314083 | − | 0.263547i | 0.472094 | − | 0.881548i | \(-0.343498\pi\) |
−0.786177 | + | 0.618001i | \(0.787943\pi\) | |||||||
\(432\) | 2062.32 | + | 886.398i | 0.229683 | + | 0.0987196i | ||||
\(433\) | 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 | ||||
\(435\) | 6677.47 | + | 8271.38i | 0.736000 | + | 0.911683i | ||||
\(436\) | − | 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 | ||||
\(441\) | 1911.59 | − | 8862.23i | 0.206413 | − | 0.956941i | ||||
\(442\) | 944.538 | + | 343.784i | 0.101645 | + | 0.0369958i | ||||
\(443\) | −6999.42 | + | 8341.58i | −0.750683 | + | 0.894629i | −0.997221 | − | 0.0745043i | \(-0.976263\pi\) |
0.246538 | + | 0.969133i | \(0.420707\pi\) | |||||||
\(444\) | 59.1149 | − | 3118.07i | 0.00631862 | − | 0.333281i | ||||
\(445\) | −7832.36 | + | 4522.02i | −0.834359 | + | 0.481717i | ||||
\(446\) | 11558.6 | + | 2038.10i | 1.22717 | + | 0.216383i | ||||
\(447\) | 3156.06 | + | 9210.81i | 0.333951 | + | 0.974623i | ||||
\(448\) | −833.709 | − | 1444.03i | −0.0879220 | − | 0.152285i | ||||
\(449\) | −5877.56 | + | 10180.2i | −0.617771 | + | 1.07001i | 0.372120 | + | 0.928184i | \(0.378631\pi\) |
−0.989892 | + | 0.141826i | \(0.954702\pi\) | |||||||
\(450\) | 3689.52 | − | 1186.55i | 0.386502 | − | 0.124299i | ||||
\(451\) | −140.040 | + | 384.756i | −0.0146213 | + | 0.0401717i | ||||
\(452\) | 1724.75 | − | 627.758i | 0.179481 | − | 0.0653258i | ||||
\(453\) | 429.664 | − | 1114.30i | 0.0445637 | − | 0.115573i | ||||
\(454\) | 648.948 | + | 3680.37i | 0.0670851 | + | 0.380458i | ||||
\(455\) | 9908.79 | 1.02095 | ||||||||
\(456\) | 3381.29 | + | 647.483i | 0.347244 | + | 0.0664937i | ||||
\(457\) | 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 | ||||
\(459\) | 809.133 | + | 1083.89i | 0.0822812 | + | 0.110222i | ||||
\(460\) | 2095.41 | − | 762.668i | 0.212389 | − | 0.0773035i | ||||
\(461\) | 1892.70 | − | 5200.16i | 0.191219 | − | 0.525370i | −0.806621 | − | 0.591070i | \(-0.798706\pi\) |
0.997839 | + | 0.0657000i | \(0.0209280\pi\) | |||||||
\(462\) | −489.664 | − | 95.9452i | −0.0493100 | − | 0.00966185i | ||||
\(463\) | −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 | ||||
\(465\) | −8243.64 | + | 2824.66i | −0.822128 | + | 0.281700i | ||||
\(466\) | −3762.72 | − | 663.468i | −0.374044 | − | 0.0659540i | ||||
\(467\) | −2570.98 | + | 1484.35i | −0.254755 | + | 0.147083i | −0.621940 | − | 0.783065i | \(-0.713655\pi\) |
0.367185 | + | 0.930148i | \(0.380322\pi\) | |||||||
\(468\) | 4978.88 | − | 2628.15i | 0.491771 | − | 0.259586i | ||||
\(469\) | −11726.7 | + | 13975.3i | −1.15456 | + | 1.37595i | ||||
\(470\) | −6953.05 | − | 2530.70i | −0.682383 | − | 0.248367i | ||||
\(471\) | 8574.32 | + | 7476.20i | 0.838819 | + | 0.731391i | ||||
\(472\) | 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 | ||||||
\(477\) | −11147.3 | − | 4542.84i | −1.07002 | − | 0.436063i | ||||
\(478\) | −4388.68 | − | 5230.22i | −0.419944 | − | 0.500470i | ||||
\(479\) | −1295.84 | − | 3560.28i | −0.123608 | − | 0.339610i | 0.862419 | − | 0.506195i | \(-0.168948\pi\) |
−0.986027 | + | 0.166585i | \(0.946726\pi\) | |||||||
\(480\) | 1198.48 | − | 187.974i | 0.113964 | − | 0.0178746i | ||||
\(481\) | −5991.79 | − | 5027.71i | −0.567988 | − | 0.476598i | ||||
\(482\) | 9868.25 | + | 5697.44i | 0.932545 | + | 0.538405i | ||||
\(483\) | −8858.66 | − | 5340.96i | −0.834540 | − | 0.503151i | ||||
\(484\) | 922.144 | − | 5229.74i | 0.0866025 | − | 0.491147i | ||||
\(485\) | 845.379 | − | 4794.38i | 0.0791478 | − | 0.448870i | ||||
\(486\) | 7541.99 | + | 716.998i | 0.703933 | + | 0.0669212i | ||||
\(487\) | 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 | ||||
\(489\) | −1281.45 | − | 8170.21i | −0.118505 | − | 0.755562i | ||||
\(490\) | −1675.76 | − | 4604.11i | −0.154496 | − | 0.424474i | ||||
\(491\) | 3678.26 | + | 4383.58i | 0.338080 | + | 0.402908i | 0.908121 | − | 0.418708i | \(-0.137517\pi\) |
−0.570041 | + | 0.821617i | \(0.693073\pi\) | |||||||
\(492\) | −3593.10 | + | 2900.70i | −0.329247 | + | 0.265800i | ||||
\(493\) | − | 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 | ||||
\(498\) | 2596.06 | − | 2977.37i | 0.233599 | − | 0.267910i | ||||
\(499\) | −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 | ||||
\(501\) | −15980.8 | − | 302.978i | −1.42509 | − | 0.0270181i | ||||
\(502\) | 43.3082 | − | 25.0040i | 0.00385048 | − | 0.00222308i | ||||
\(503\) | −5609.14 | − | 989.043i | −0.497215 | − | 0.0876725i | −0.0805837 | − | 0.996748i | \(-0.525678\pi\) |
−0.416632 | + | 0.909075i | \(0.636790\pi\) | |||||||
\(504\) | −4170.73 | − | 3778.11i | −0.368610 | − | 0.333910i | ||||
\(505\) | −589.394 | − | 1020.86i | −0.0519360 | − | 0.0899558i | ||||
\(506\) | −140.816 | + | 243.900i | −0.0123716 | + | 0.0214282i | ||||
\(507\) | 520.005 | − | 2653.89i | 0.0455508 | − | 0.232472i | ||||
\(508\) | −3670.29 | + | 10084.0i | −0.320557 | + | 0.880723i | ||||
\(509\) | 1417.48 | − | 515.919i | 0.123435 | − | 0.0449267i | −0.279564 | − | 0.960127i | \(-0.590190\pi\) |
0.402999 | + | 0.915200i | \(0.367968\pi\) | |||||||
\(510\) | 682.040 | + | 262.988i | 0.0592181 | + | 0.0228339i | ||||
\(511\) | 195.383 | + | 1108.07i | 0.0169144 | + | 0.0959262i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 11532.9 | − | 1413.49i | 0.992573 | − | 0.121651i | ||||
\(514\) | −13454.1 | −1.15454 | ||||||||
\(515\) | 2220.75 | + | 12594.5i | 0.190016 | + | 1.07763i | ||||
\(516\) | 1484.20 | + | 572.291i | 0.126624 | + | 0.0488250i | ||||
\(517\) | 878.159 | − | 319.624i | 0.0747028 | − | 0.0271896i | ||||
\(518\) | −2674.04 | + | 7346.86i | −0.226816 | + | 0.623171i | ||||
\(519\) | −3300.28 | + | 16843.2i | −0.279126 | + | 1.42454i | ||||
\(520\) | 1521.30 | − | 2634.98i | 0.128295 | − | 0.222214i | ||||
\(521\) | −6705.51 | − | 11614.3i | −0.563865 | − | 0.976643i | −0.997154 | − | 0.0753881i | \(-0.975980\pi\) |
0.433289 | − | 0.901255i | \(-0.357353\pi\) | |||||||
\(522\) | −11222.2 | − | 10165.8i | −0.940963 | − | 0.852384i | ||||
\(523\) | 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 | ||||
\(525\) | −9714.40 | − | 184.174i | −0.807565 | − | 0.0153105i | ||||
\(526\) | −31.9747 | + | 38.1059i | −0.00265050 | + | 0.00315874i | ||||
\(527\) | 2082.46 | + | 757.953i | 0.172131 | + | 0.0626507i | ||||
\(528\) | −100.693 | + | 115.482i | −0.00829940 | + | 0.00951843i | ||||
\(529\) | 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 | ||||||||
\(534\) | 10023.7 | − | 8092.14i | 0.812302 | − | 0.655770i | ||||
\(535\) | 1416.34 | + | 1687.93i | 0.114455 | + | 0.136403i | ||||
\(536\) | 1915.95 | + | 5264.03i | 0.154396 | + | 0.424201i | ||||
\(537\) | −1203.52 | − | 7673.38i | −0.0967147 | − | 0.616631i | ||||
\(538\) | −7090.92 | − | 5949.99i | −0.568237 | − | 0.476807i | ||||
\(539\) | 535.905 | + | 309.405i | 0.0428257 | + | 0.0247254i | ||||
\(540\) | 3656.40 | − | 1842.31i | 0.291382 | − | 0.146815i | ||||
\(541\) | 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 | ||||
\(543\) | 6480.00 | + | 3906.85i | 0.512124 | + | 0.308764i | ||||
\(544\) | −267.179 | − | 154.256i | −0.0210574 | − | 0.0121575i | ||||
\(545\) | −1504.31 | − | 1262.26i | −0.118234 | − | 0.0992100i | ||||
\(546\) | −13943.8 | + | 2186.99i | −1.09293 | + | 0.171419i | ||||
\(547\) | −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 | ||||
\(549\) | −812.956 | − | 331.302i | −0.0631987 | − | 0.0257552i | ||||
\(550\) | 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 | ||||
\(555\) | −4287.36 | − | 3738.27i | −0.327907 | − | 0.285912i | ||||
\(556\) | 2823.74 | + | 1027.76i | 0.215384 | + | 0.0783933i | ||||
\(557\) | 10197.8 | − | 12153.3i | 0.775756 | − | 0.924509i | −0.222978 | − | 0.974823i | \(-0.571578\pi\) |
0.998733 | + | 0.0503141i | \(0.0160222\pi\) | |||||||
\(558\) | 10977.1 | − | 5794.37i | 0.832793 | − | 0.439597i | ||||
\(559\) | 3455.10 | − | 1994.80i | 0.261423 | − | 0.150932i | ||||
\(560\) | −2995.10 | − | 528.116i | −0.226011 | − | 0.0398518i | ||||
\(561\) | −87.3376 | + | 29.9260i | −0.00657290 | + | 0.00225219i | ||||
\(562\) | 8368.54 | + | 14494.7i | 0.628124 | + | 1.08794i | ||||
\(563\) | 7455.78 | − | 12913.8i | 0.558124 | − | 0.966699i | −0.439529 | − | 0.898228i | \(-0.644855\pi\) |
0.997653 | − | 0.0684709i | \(-0.0218120\pi\) | |||||||
\(564\) | 10343.0 | + | 2026.61i | 0.772195 | + | 0.151304i | ||||
\(565\) | 1145.00 | − | 3145.87i | 0.0852579 | − | 0.234244i | ||||
\(566\) | −11552.6 | + | 4204.81i | −0.857937 | + | 0.312264i | ||||
\(567\) | −17304.1 | − | 7829.31i | −1.28167 | − | 0.579894i | ||||
\(568\) | 945.884 | + | 5364.38i | 0.0698740 | + | 0.396275i | ||||
\(569\) | −4442.10 | −0.327280 | −0.163640 | − | 0.986520i | \(-0.552324\pi\) | ||||
−0.163640 | + | 0.986520i | \(0.552324\pi\) | |||||||
\(570\) | 4868.97 | − | 3965.33i | 0.357787 | − | 0.291385i | ||||
\(571\) | 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 | ||||
\(573\) | 4235.10 | − | 10983.4i | 0.308768 | − | 0.800768i | ||||
\(574\) | 10878.7 | − | 3959.52i | 0.791060 | − | 0.287922i | ||||
\(575\) | −1875.64 | + | 5153.27i | −0.136034 | + | 0.373750i | ||||
\(576\) | −1645.02 | + | 529.038i | −0.118998 | + | 0.0382695i | ||||
\(577\) | −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 | ||||
\(579\) | −1201.60 | − | 3506.81i | −0.0862464 | − | 0.251706i | ||||
\(580\) | −8058.92 | − | 1421.01i | −0.576946 | − | 0.101731i | ||||
\(581\) | −8576.40 | + | 4951.59i | −0.612408 | + | 0.353574i | ||||
\(582\) | −131.447 | + | 6933.30i | −0.00936196 | + | 0.493805i | ||||
\(583\) | 528.129 | − | 629.400i | 0.0375178 | − | 0.0447120i | ||||
\(584\) | 324.660 | + | 118.167i | 0.0230043 | + | 0.00837289i | ||||
\(585\) | 2165.19 | − | 10037.9i | 0.153025 | − | 0.709432i | ||||
\(586\) | 10017.2 | − | 8405.47i | 0.706158 | − | 0.592537i | ||||
\(587\) | 5946.45 | − | 1048.52i | 0.418120 | − | 0.0737258i | 0.0393694 | − | 0.999225i | \(-0.487465\pi\) |
0.378750 | + | 0.925499i | \(0.376354\pi\) | |||||||
\(588\) | 3374.33 | + | 6109.10i | 0.236658 | + | 0.428461i | ||||
\(589\) | 14530.6 | − | 12299.2i | 1.01650 | − | 0.860406i | ||||
\(590\) | − | 8294.65i | − | 0.578788i | ||||||
\(591\) | −5452.70 | − | 6754.26i | −0.379517 | − | 0.470107i | ||||
\(592\) | 1543.15 | + | 1839.06i | 0.107134 | + | 0.127677i | ||||
\(593\) | −416.599 | − | 1144.60i | −0.0288494 | − | 0.0792630i | 0.924432 | − | 0.381347i | \(-0.124540\pi\) |
−0.953281 | + | 0.302084i | \(0.902318\pi\) | |||||||
\(594\) | −204.193 | + | 475.081i | −0.0141046 | + | 0.0328162i | ||||
\(595\) | −1403.83 | − | 1177.96i | −0.0967254 | − | 0.0811622i | ||||
\(596\) | −6491.01 | − | 3747.59i | −0.446111 | − | 0.257562i | ||||
\(597\) | 10055.5 | − | 16678.3i | 0.689353 | − | 1.14338i | ||||
\(598\) | −1383.34 | + | 7845.34i | −0.0945973 | + | 0.536488i | ||||
\(599\) | −2303.81 | + | 13065.6i | −0.157147 | + | 0.891227i | 0.799649 | + | 0.600468i | \(0.205019\pi\) |
−0.956796 | + | 0.290759i | \(0.906092\pi\) | |||||||
\(600\) | −1540.44 | + | 2555.01i | −0.104813 | + | 0.173846i | ||||
\(601\) | 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 | ||||
\(603\) | 11595.0 | + | 14933.3i | 0.783062 | + | 1.00851i | ||||
\(604\) | 314.436 | + | 863.906i | 0.0211825 | + | 0.0581984i | ||||
\(605\) | −6226.02 | − | 7419.89i | −0.418387 | − | 0.498614i | ||||
\(606\) | 1054.72 | + | 1306.48i | 0.0707014 | + | 0.0875778i | ||||
\(607\) | − | 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 | ||||
\(612\) | −1017.82 | − | 219.545i | −0.0672270 | − | 0.0145009i | ||||
\(613\) | 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 | ||||
\(615\) | −159.657 | + | 8421.23i | −0.0104682 | + | 0.552157i | ||||
\(616\) | 332.650 | − | 192.056i | 0.0217579 | − | 0.0125619i | ||||
\(617\) | 27257.9 | + | 4806.31i | 1.77855 | + | 0.313606i | 0.963883 | − | 0.266328i | \(-0.0858103\pi\) |
0.814664 | + | 0.579933i | \(0.196921\pi\) | |||||||
\(618\) | −5904.84 | − | 17233.0i | −0.384349 | − | 1.12170i | ||||
\(619\) | −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 | ||||
\(621\) | −7346.30 | + | 7807.06i | −0.474713 | + | 0.504487i | ||||
\(622\) | −6983.65 | + | 19187.4i | −0.450191 | + | 1.23689i | ||||
\(623\) | −30348.5 | + | 11046.0i | −1.95167 | + | 0.710348i | ||||
\(624\) | −1559.23 | + | 4043.74i | −0.100030 | + | 0.259422i | ||||
\(625\) | −260.923 | − | 1479.77i | −0.0166991 | − | 0.0947052i | ||||
\(626\) | 3813.25 | 0.243463 | ||||||||
\(627\) | −149.156 | + | 778.924i | −0.00950035 | + | 0.0496128i | ||||
\(628\) | −8757.22 | −0.556451 | ||||||||
\(629\) | 251.197 | + | 1424.61i | 0.0159235 | + | 0.0903066i | ||||
\(630\) | −10168.7 | + | 1397.96i | −0.643068 | + | 0.0884065i | ||||
\(631\) | −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 | ||||
\(633\) | −6007.94 | − | 1177.20i | −0.377242 | − | 0.0739170i | ||||
\(634\) | −10665.6 | + | 18473.4i | −0.668117 | + | 1.15721i | ||||
\(635\) | 9786.64 | + | 16951.0i | 0.611608 | + | 1.05934i | ||||
\(636\) | 8766.10 | − | 3003.68i | 0.546538 | − | 0.187270i | ||||
\(637\) | 17238.0 | + | 3039.53i | 1.07221 | + | 0.189059i | ||||
\(638\) | 895.064 | − | 516.765i | 0.0555422 | − | 0.0320673i | ||||
\(639\) | 8581.95 | + | 16258.0i | 0.531294 | + | 1.00651i | ||||
\(640\) | −600.278 | + | 715.383i | −0.0370751 | + | 0.0441844i | ||||
\(641\) | 2448.35 | + | 891.127i | 0.150864 | + | 0.0549101i | 0.416349 | − | 0.909205i | \(-0.363310\pi\) |
−0.265484 | + | 0.964115i | \(0.585532\pi\) | |||||||
\(642\) | −2365.64 | − | 2062.67i | −0.145427 | − | 0.126802i | ||||
\(643\) | 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 | \(-0.880245\pi\) | ||
0.930060 | − | 0.367408i | \(-0.119755\pi\) | |||||||
\(648\) | −4738.71 | + | 3399.53i | −0.287275 | + | 0.206090i | ||||
\(649\) | 673.385 | + | 802.509i | 0.0407283 | + | 0.0485381i | ||||
\(650\) | 2559.24 | + | 7031.45i | 0.154433 | + | 0.424302i | ||||
\(651\) | −30742.4 | + | 4821.75i | −1.85083 | + | 0.290291i | ||||
\(652\) | 4876.89 | + | 4092.19i | 0.292935 | + | 0.245802i | ||||
\(653\) | 12019.1 | + | 6939.20i | 0.720279 | + | 0.415853i | 0.814855 | − | 0.579665i | \(-0.196816\pi\) |
−0.0945766 | + | 0.995518i | \(0.530150\pi\) | |||||||
\(654\) | 2395.48 | + | 1444.26i | 0.143227 | + | 0.0863530i | ||||
\(655\) | −3453.82 | + | 19587.6i | −0.206034 | + | 1.16847i | ||||
\(656\) | 617.287 | − | 3500.81i | 0.0367393 | − | 0.208359i | ||||
\(657\) | 1165.21 | + | 44.1979i | 0.0691921 | + | 0.00262454i | ||||
\(658\) | −22882.8 | − | 13211.4i | −1.35572 | − | 0.782726i | ||||
\(659\) | −10344.0 | − | 8679.66i | −0.611450 | − | 0.513068i | 0.283653 | − | 0.958927i | \(-0.408454\pi\) |
−0.895103 | + | 0.445859i | \(0.852898\pi\) | |||||||
\(660\) | 43.3022 | + | 276.085i | 0.00255384 | + | 0.0162827i | ||||
\(661\) | −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 | ||||
\(663\) | −2031.96 | + | 1640.40i | −0.119027 | + | 0.0960903i | ||||
\(664\) | 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 | ||||
\(669\) | −20040.1 | + | 22983.6i | −1.15814 | + | 1.32825i | ||||
\(670\) | 9601.37 | + | 3494.61i | 0.553632 | + | 0.201506i | ||||
\(671\) | 38.5157 | − | 45.9012i | 0.00221592 | − | 0.00264083i | ||||
\(672\) | 4331.30 | + | 82.1163i | 0.248636 | + | 0.00471385i | ||||
\(673\) | −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 | ||||
\(675\) | −2309.29 | + | 9800.78i | −0.131681 | + | 0.558863i | ||||
\(676\) | 1040.91 | + | 1802.90i | 0.0592232 | + | 0.102578i | ||||
\(677\) | 9604.94 | − | 16636.2i | 0.545270 | − | 0.944435i | −0.453320 | − | 0.891348i | \(-0.649760\pi\) |
0.998590 | − | 0.0530875i | \(-0.0169062\pi\) | |||||||
\(678\) | −916.931 | + | 4679.63i | −0.0519388 | + | 0.265074i | ||||
\(679\) | 5945.97 | − | 16336.4i | 0.336061 | − | 0.923320i | ||||
\(680\) | −528.778 | + | 192.459i | −0.0298202 | + | 0.0108536i | ||||
\(681\) | −9059.24 | − | 3493.15i | −0.509766 | − | 0.196561i | ||||
\(682\) | 147.120 | + | 834.357i | 0.00826027 | + | 0.0468463i | ||||
\(683\) | 19310.6 | 1.08184 | 0.540922 | − | 0.841073i | \(-0.318075\pi\) | ||||
0.540922 | + | 0.841073i | \(0.318075\pi\) | |||||||
\(684\) | −5976.48 | + | 6654.71i | −0.334088 | + | 0.372002i | ||||
\(685\) | 8979.85 | 0.500880 | ||||||||
\(686\) | 65.3301 | + | 370.505i | 0.00363603 | + | 0.0206209i | ||||
\(687\) | −17964.2 | − | 6926.81i | −0.997637 | − | 0.384678i | ||||
\(688\) | −1150.68 | + | 418.814i | −0.0637635 | + | 0.0232080i | ||||
\(689\) | 7948.82 | − | 21839.2i | 0.439515 | − | 1.20756i | ||||
\(690\) | −1113.99 | + | 5685.32i | −0.0614619 | + | 0.313676i | ||||
\(691\) | −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 | ||||
\(693\) | 870.337 | − | 960.783i | 0.0477076 | − | 0.0526654i | ||||
\(694\) | −11913.6 | − | 2100.70i | −0.651636 | − | 0.114901i | ||||
\(695\) | 4746.63 | − | 2740.47i | 0.259064 | − | 0.149571i | ||||
\(696\) | 11654.3 | + | 220.951i | 0.634703 | + | 0.0120332i | ||||
\(697\) | 1376.85 | − | 1640.87i | 0.0748234 | − | 0.0891711i | ||||
\(698\) | −8662.98 | − | 3153.07i | −0.469769 | − | 0.170982i | ||||
\(699\) | 6523.71 | − | 7481.93i | 0.353003 | − | 0.404853i | ||||
\(700\) | 5729.63 | − | 4807.73i | 0.309371 | − | 0.259593i | ||||
\(701\) | −7400.37 | + | 1304.89i | −0.398728 | + | 0.0703065i | −0.369417 | − | 0.929264i | \(-0.620442\pi\) |
−0.0293112 | + | 0.999570i | \(0.509331\pi\) | |||||||
\(702\) | −831.386 | + | 14603.4i | −0.0446989 | + | 0.785142i | ||||
\(703\) | 11695.3 | + | 4200.01i | 0.627449 | + | 0.225329i | ||||
\(704\) | − | 117.946i | − | 0.00631428i | ||||||
\(705\) | 14957.9 | − | 12075.5i | 0.799076 | − | 0.645092i | ||||
\(706\) | 2088.95 | + | 2489.52i | 0.111358 | + | 0.132711i | ||||
\(707\) | −1439.72 | − | 3955.59i | −0.0765857 | − | 0.210418i | ||||
\(708\) | 1830.73 | + | 11672.3i | 0.0971796 | + | 0.619595i | ||||
\(709\) | −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 | ||||
\(711\) | −39.7921 | + | 1049.06i | −0.00209890 | + | 0.0553344i | ||||
\(712\) | −1722.06 | + | 9766.27i | −0.0906416 | + | 0.514054i | ||||
\(713\) | −3049.91 | + | 17296.9i | −0.160196 | + | 0.908519i | ||||
\(714\) | 2235.48 | + | 1347.79i | 0.117172 | + | 0.0706440i | ||||
\(715\) | 607.001 | + | 350.452i | 0.0317490 | + | 0.0183303i | ||||
\(716\) | 4580.32 | + | 3843.34i | 0.239071 | + | 0.200604i | ||||
\(717\) | 17524.3 | − | 2748.58i | 0.912771 | − | 0.143163i | ||||
\(718\) | −6610.00 | − | 18160.8i | −0.343570 | − | 0.943950i | ||||
\(719\) | 2019.40 | + | 2406.63i | 0.104744 | + | 0.124829i | 0.815870 | − | 0.578236i | \(-0.196259\pi\) |
−0.711126 | + | 0.703065i | \(0.751814\pi\) | |||||||
\(720\) | −1189.47 | + | 2918.74i | −0.0615677 | + | 0.151076i | ||||
\(721\) | 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 | ||||
\(726\) | 10399.0 | + | 9067.20i | 0.531602 | + | 0.463520i | ||||
\(727\) | 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 | ||||
\(729\) | −11712.5 | + | 15818.9i | −0.595058 | + | 0.803683i | ||||
\(730\) | 545.743 | − | 315.085i | 0.0276697 | − | 0.0159751i | ||||
\(731\) | −726.646 | − | 128.127i | −0.0367660 | − | 0.00648285i | ||||
\(732\) | 639.298 | − | 219.053i | 0.0322802 | − | 0.0110607i | ||||
\(733\) | 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 | ||||
\(735\) | 12492.0 | + | 2447.68i | 0.626902 | + | 0.122836i | ||||
\(736\) | 836.278 | − | 2297.66i | 0.0418826 | − | 0.115072i | ||||
\(737\) | −1212.64 | + | 441.364i | −0.0606080 | + | 0.0220595i | ||||
\(738\) | −1634.00 | − | 11885.7i | −0.0815019 | − | 0.592844i | ||||
\(739\) | −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 | ||||||||
\(741\) | 3571.08 | + | 22147.3i | 0.177040 | + | 1.09798i | ||||
\(742\) | −23230.8 | −1.14937 | ||||||||
\(743\) | 3009.63 | + | 17068.5i | 0.148604 | + | 0.842774i | 0.964403 | + | 0.264438i | \(0.0851865\pi\) |
−0.815799 | + | 0.578336i | \(0.803702\pi\) | |||||||
\(744\) | −3437.68 | + | 8915.39i | −0.169397 | + | 0.439320i | ||||
\(745\) | −12846.4 | + | 4675.72i | −0.631754 | + | 0.229940i | ||||
\(746\) | −7430.22 | + | 20414.4i | −0.364665 | + | 1.00191i | ||||
\(747\) | 3142.08 | + | 9770.17i | 0.153899 | + | 0.478543i | ||||
\(748\) | 35.5349 | − | 61.5483i | 0.00173701 | − | 0.00300859i | ||||
\(749\) | 3934.23 | + | 6814.28i | 0.191927 | + | 0.332428i | ||||
\(750\) | 4836.03 | + | 14113.7i | 0.235449 | + | 0.687147i | ||||
\(751\) | −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 | ||||
\(753\) | −2.46278 | + | 129.901i | −0.000119188 | + | 0.00628668i | ||||
\(754\) | 18791.8 | − | 22395.2i | 0.907637 | − | 1.08168i | ||||
\(755\) | 1575.73 | + | 573.518i | 0.0759558 | + | 0.0276456i | ||||
\(756\) | 14001.0 | − | 4211.60i | 0.673562 | − | 0.202612i | ||||
\(757\) | −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 | \(-0.825521\pi\) | ||
0.853495 | − | 0.521101i | \(-0.174479\pi\) | |||||||
\(762\) | −17513.2 | − | 21693.6i | −0.832593 | − | 1.03133i | ||||
\(763\) | −4507.54 | − | 5371.88i | −0.213872 | − | 0.254882i | ||||
\(764\) | 3099.33 | + | 8515.34i | 0.146767 | + | 0.403238i | ||||
\(765\) | −1500.07 | + | 1164.73i | −0.0708954 | + | 0.0550471i | ||||
\(766\) | 18078.7 | + | 15169.8i | 0.852754 | + | 0.715545i | ||||
\(767\) | 25662.8 | + | 14816.4i | 1.20812 | + | 0.697511i | ||||
\(768\) | 686.825 | − | 1139.19i | 0.0322704 | − | 0.0535245i | ||||
\(769\) | 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 | ||||
\(771\) | 18048.1 | − | 29935.0i | 0.843041 | − | 1.39829i | ||||
\(772\) | 2471.31 | + | 1426.81i | 0.115213 | + | 0.0665181i | ||||
\(773\) | −23112.1 | − | 19393.4i | −1.07540 | − | 0.902369i | −0.0798702 | − | 0.996805i | \(-0.525451\pi\) |
−0.995531 | + | 0.0944366i | \(0.969895\pi\) | |||||||
\(774\) | −3264.31 | + | 2534.59i | −0.151593 | + | 0.117706i | ||||
\(775\) | 5642.45 | + | 15502.5i | 0.261526 | + | 0.718537i | ||||
\(776\) | −3431.34 | − | 4089.31i | −0.158735 | − | 0.189172i | ||||
\(777\) | −12759.5 | − | 15805.1i | −0.589116 | − | 0.729738i | ||||
\(778\) | 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 | ||||
\(783\) | 37672.7 | − | 11332.2i | 1.71943 | − | 0.517214i | ||||
\(784\) | −5048.48 | − | 1837.50i | −0.229978 | − | 0.0837051i | ||||
\(785\) | −10267.1 | + | 12235.9i | −0.466814 | + | 0.556328i | ||||
\(786\) | 537.032 | − | 28326.2i | 0.0243706 | − | 1.28545i | ||||
\(787\) | 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 | ||||
\(789\) | −41.8921 | − | 122.260i | −0.00189024 | − | 0.00551657i | ||||
\(790\) | 283.676 | + | 491.342i | 0.0127756 | + | 0.0221280i | ||||
\(791\) | 5977.44 | − | 10353.2i | 0.268689 | − | 0.465384i | ||||
\(792\) | −121.871 | − | 378.953i | −0.00546779 | − | 0.0170019i | ||||
\(793\) | 579.695 | − | 1592.70i | 0.0259591 | − | 0.0713221i | ||||
\(794\) | 9540.44 | − | 3472.43i | 0.426420 | − | 0.155204i | ||||
\(795\) | 6080.69 | − | 15769.8i | 0.271270 | − | 0.703521i | ||||
\(796\) | 2603.32 | + | 14764.2i | 0.115920 | + | 0.657414i | ||||
\(797\) | −42843.0 | −1.90411 | −0.952056 | − | 0.305923i | \(-0.901035\pi\) | ||||
−0.952056 | + | 0.305923i | \(0.901035\pi\) | |||||||
\(798\) | 19581.8 | − | 10925.8i | 0.868658 | − | 0.484674i | ||||
\(799\) | −4888.85 | −0.216465 | ||||||||
\(800\) | −398.812 | − | 2261.77i | −0.0176252 | − | 0.0999573i | ||||
\(801\) | 4558.41 | + | 33157.8i | 0.201078 | + | 1.46264i | ||||
\(802\) | 15319.3 | − | 5575.79i | 0.674495 | − | 0.245496i | ||||
\(803\) | −27.2212 | + | 74.7896i | −0.00119628 | + | 0.00328676i | ||||
\(804\) | −14282.5 | − | 2798.52i | −0.626498 | − | 0.122757i | ||||
\(805\) | 7262.04 | − | 12578.2i | 0.317954 | − | 0.550713i | ||||
\(806\) | 11982.5 | + | 20754.4i | 0.523656 | + | 0.906999i | ||||
\(807\) | 22750.7 | − | 7795.46i | 0.992395 | − | 0.340041i | ||||
\(808\) | −1272.92 | − | 224.451i | −0.0554224 | − | 0.00977246i | ||||
\(809\) | −16229.0 | + | 9369.81i | −0.705292 | + | 0.407200i | −0.809315 | − | 0.587375i | \(-0.800162\pi\) |
0.104024 | + | 0.994575i | \(0.466828\pi\) | |||||||
\(810\) | −805.815 | + | 10606.8i | −0.0349549 | + | 0.460103i | ||||
\(811\) | −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 | ||||
\(813\) | 25656.2 | + | 22370.4i | 1.10677 | + | 0.965022i | ||||
\(814\) | −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 | ||||||
\(819\) | 13838.9 | − | 33958.3i | 0.590441 | − | 1.44884i | ||||
\(820\) | −4167.73 | − | 4966.90i | −0.177492 | − | 0.211527i | ||||
\(821\) | −9364.26 | − | 25728.1i | −0.398069 | − | 1.09369i | −0.963224 | − | 0.268701i | \(-0.913406\pi\) |
0.565154 | − | 0.824985i | \(-0.308817\pi\) | |||||||
\(822\) | −12636.6 | + | 1981.97i | −0.536193 | + | 0.0840986i | ||||
\(823\) | −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 | ||||
\(825\) | −588.580 | − | 354.860i | −0.0248384 | − | 0.0149753i | ||||
\(826\) | 5143.49 | − | 29170.2i | 0.216664 | − | 1.22877i | ||||
\(827\) | −4985.03 | + | 28271.5i | −0.209609 | + | 1.18875i | 0.680412 | + | 0.732830i | \(0.261801\pi\) |
−0.890021 | + | 0.455920i | \(0.849310\pi\) | |||||||
\(828\) | 312.794 | − | 8246.33i | 0.0131284 | − | 0.346111i | ||||
\(829\) | 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 | ||||
\(831\) | −3071.88 | − | 19585.6i | −0.128234 | − | 0.817589i | ||||
\(832\) | −1141.07 | − | 3135.07i | −0.0475475 | − | 0.130636i | ||||
\(833\) | −2080.87 | − | 2479.88i | −0.0865520 | − | 0.103149i | ||||
\(834\) | −6074.66 | + | 4904.06i | −0.252216 | + | 0.203614i | ||||
\(835\) | − | 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 | −0.607177 | − | 0.794566i | \(-0.707698\pi\) |
0.677060 | + | 0.735928i | \(0.263254\pi\) | |||||||
\(840\) | 5192.83 | − | 5955.56i | 0.213297 | − | 0.244627i | ||||
\(841\) | −50968.6 | − | 18551.1i | −2.08982 | − | 0.760633i | ||||
\(842\) | −3955.51 | + | 4714.00i | −0.161895 | + | 0.192939i | ||||
\(843\) | −43476.4 | − | 824.261i | −1.77628 | − | 0.0336762i | ||||
\(844\) | 4081.45 | − | 2356.43i | 0.166457 | − | 0.0961038i | ||||
\(845\) | 3739.45 | + | 659.367i | 0.152238 | + | 0.0268437i | ||||
\(846\) | −18383.8 | + | 20294.2i | −0.747101 | + | 0.824740i | ||||
\(847\) | −17294.3 | − | 29954.6i | −0.701581 | − | 1.21517i | ||||
\(848\) | −3566.65 | + | 6177.61i | −0.144433 | + | 0.250165i | ||||
\(849\) | 6141.73 | − | 31344.8i | 0.248273 | − | 1.26708i | ||||
\(850\) | 473.317 | − | 1300.43i | 0.0190996 | − | 0.0524757i | ||||
\(851\) | −10773.5 | + | 3921.23i | −0.433972 | + | 0.157953i | ||||
\(852\) | −13204.4 | − | 5091.50i | −0.530959 | − | 0.204732i | ||||
\(853\) | −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 | ||||||||
\(855\) | 2291.25 | + | 16152.6i | 0.0916480 | + | 0.646091i | ||||
\(856\) | 2416.10 | 0.0964727 | ||||||||
\(857\) | −7819.07 | − | 44344.1i | −0.311662 | − | 1.76752i | −0.590356 | − | 0.807143i | \(-0.701013\pi\) |
0.278694 | − | 0.960380i | \(-0.410098\pi\) | |||||||
\(858\) | −931.529 | − | 359.188i | −0.0370651 | − | 0.0142919i | ||||
\(859\) | −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 | ||||
\(861\) | −5783.45 | + | 29516.3i | −0.228919 | + | 1.16831i | ||||
\(862\) | −3668.64 | + | 6354.28i | −0.144959 | + | 0.251076i | ||||
\(863\) | −7502.95 | − | 12995.5i | −0.295948 | − | 0.512598i | 0.679257 | − | 0.733901i | \(-0.262302\pi\) |
−0.975205 | + | 0.221303i | \(0.928969\pi\) | |||||||
\(864\) | 1029.63 | − | 4369.81i | 0.0405425 | − | 0.172065i | ||||
\(865\) | −23732.9 | − | 4184.75i | −0.932883 | − | 0.164492i | ||||
\(866\) | 17462.2 | − | 10081.8i | 0.685208 | − | 0.395605i | ||||
\(867\) | −25041.2 | − | 474.752i | −0.980905 | − | 0.0185968i | ||||
\(868\) | 15397.8 | − | 18350.4i | 0.602116 | − | 0.717574i | ||||
\(869\) | −67.3343 | − | 24.5077i | −0.00262849 | − | 0.000956693i | ||||
\(870\) | 13972.4 | − | 16024.7i | 0.544492 | − | 0.624468i | ||||
\(871\) | −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 | ||||||
\(876\) | −698.434 | + | 563.844i | −0.0269382 | + | 0.0217472i | ||||
\(877\) | 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 | ||||
\(879\) | 5264.25 | + | 33563.7i | 0.202001 | + | 1.28791i | ||||
\(880\) | −164.798 | − | 138.282i | −0.00631288 | − | 0.00529714i | ||||
\(881\) | 15221.4 | + | 8788.06i | 0.582090 | + | 0.336070i | 0.761963 | − | 0.647620i | \(-0.224236\pi\) |
−0.179874 | + | 0.983690i | \(0.557569\pi\) | |||||||
\(882\) | −18119.1 | − | 687.280i | −0.691725 | − | 0.0262380i | ||||
\(883\) | −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 | ||||
\(885\) | 18455.4 | + | 11126.9i | 0.700983 | + | 0.422629i | ||||
\(886\) | 18860.6 | + | 10889.2i | 0.715162 | + | 0.412899i | ||||
\(887\) | −26958.9 | − | 22621.2i | −1.02051 | − | 0.856310i | −0.0308188 | − | 0.999525i | \(-0.509811\pi\) |
−0.989692 | + | 0.143215i | \(0.954256\pi\) | |||||||
\(888\) | −6161.92 | + | 966.460i | −0.232861 | + | 0.0365228i | ||||
\(889\) | 23905.9 | + | 65680.9i | 0.901888 | + | 2.47792i | ||||
\(890\) | 11626.8 | + | 13856.3i | 0.437900 | + | 0.521869i | ||||
\(891\) | −783.126 | − | 1091.62i | −0.0294452 | − | 0.0410447i | ||||
\(892\) | − | 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 | ||||
\(897\) | −15600.0 | − | 13602.1i | −0.580677 | − | 0.506310i | ||||
\(898\) | 22092.4 | + | 8040.98i | 0.820972 | + | 0.298809i | ||||
\(899\) | 41431.0 | − | 49375.6i | 1.53704 | − | 1.83178i | ||||
\(900\) | −3618.40 | − | 6854.86i | −0.134015 | − | 0.253884i | ||||
\(901\) | −3722.40 | + | 2149.13i | −0.137637 | + | 0.0794649i | ||||
\(902\) | 806.456 | + | 142.200i | 0.0297695 | + | 0.00524916i | ||||
\(903\) | 9801.44 | − | 3358.43i | 0.361209 | − | 0.123767i | ||||
\(904\) | −1835.44 | − | 3179.08i | −0.0675287 | − | 0.116963i | ||||
\(905\) | −5312.09 | + | 9200.81i | −0.195116 | + | 0.337951i | ||||
\(906\) | −2343.97 | − | 459.279i | −0.0859527 | − | 0.0168416i | ||||
\(907\) | 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 | ||||
\(909\) | −4321.74 | + | 594.137i | −0.157693 | + | 0.0216791i | ||||
\(910\) | −3441.28 | − | 19516.5i | −0.125360 | − | 0.710951i | ||||
\(911\) | 20722.9 | 0.753654 | 0.376827 | − | 0.926284i | \(-0.377015\pi\) | ||||
0.376827 | + | 0.926284i | \(0.377015\pi\) | |||||||
\(912\) | 100.982 | − | 6884.71i | 0.00366650 | − | 0.249973i | ||||
\(913\) | −700.507 | −0.0253926 | ||||||||
\(914\) | −1933.38 | − | 10964.8i | −0.0699678 | − | 0.396807i | ||||
\(915\) | 443.455 | − | 1150.07i | 0.0160221 | − | 0.0415521i | ||||
\(916\) | 13927.4 | − | 5069.17i | 0.502375 | − | 0.182849i | ||||
\(917\) | −24292.4 | + | 66742.9i | −0.874817 | + | 2.40354i | ||||
\(918\) | 1853.84 | − | 1970.11i | 0.0666512 | − | 0.0708316i | ||||
\(919\) | −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 | ||||
\(921\) | 6735.07 | + | 19656.0i | 0.240964 | + | 0.703243i | ||||
\(922\) | −10899.6 | − | 1921.90i | −0.389328 | − | 0.0686490i | ||||
\(923\) | −30739.0 | + | 17747.2i | −1.09619 | + | 0.632887i | ||||
\(924\) | −18.9166 | + | 997.771i | −0.000673495 | + | 0.0355241i | ||||
\(925\) | −6922.09 | + | 8249.42i | −0.246051 | + | 0.293232i | ||||
\(926\) | 22444.4 | + | 8169.08i | 0.796509 | + | 0.289906i | ||||
\(927\) | 46264.0 | + | 9979.19i | 1.63917 | + | 0.353570i | ||||
\(928\) | −6873.76 | + | 5767.77i | −0.243149 | + | 0.204026i | ||||
\(929\) | 10306.9 | − | 1817.39i | 0.364003 | − | 0.0641836i | 0.0113447 | − | 0.999936i | \(-0.496389\pi\) |
0.352659 | + | 0.935752i | \(0.385278\pi\) | |||||||
\(930\) | 8426.48 | + | 15255.8i | 0.297113 | + | 0.537911i | ||||
\(931\) | −27365.5 | + | 4946.42i | −0.963339 | + | 0.174127i | ||||
\(932\) | 7641.52i | 0.268569i | ||||||||
\(933\) | −33323.2 | − | 41277.5i | −1.16930 | − | 1.44841i | ||||
\(934\) | 3816.50 | + | 4548.32i | 0.133704 | + | 0.159342i | ||||
\(935\) | −44.3355 | − | 121.811i | −0.00155072 | − | 0.00426058i | ||||
\(936\) | −6905.58 | − | 8893.73i | −0.241150 | − | 0.310578i | ||||
\(937\) | 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 | ||||
\(939\) | −5115.30 | + | 8484.37i | −0.177776 | + | 0.294864i | ||||
\(940\) | −2569.74 | + | 14573.7i | −0.0891657 | + | 0.505684i | ||||
\(941\) | −8277.58 | + | 46944.5i | −0.286760 | + | 1.62630i | 0.412170 | + | 0.911107i | \(0.364771\pi\) |
−0.698930 | + | 0.715190i | \(0.746340\pi\) | |||||||
\(942\) | 11747.4 | − | 19484.6i | 0.406318 | − | 0.673929i | ||||
\(943\) | 14702.0 | + | 8488.20i | 0.507702 | + | 0.293122i | ||||
\(944\) | −6967.34 | − | 5846.29i | −0.240220 | − | 0.201568i | ||||
\(945\) | 10530.5 | − | 24500.5i | 0.362494 | − | 0.843387i | ||||
\(946\) | −96.4792 | − | 265.074i | −0.00331586 | − | 0.00911026i | ||||
\(947\) | 7301.71 | + | 8701.84i | 0.250553 | + | 0.298597i | 0.876631 | − | 0.481163i | \(-0.159785\pi\) |
−0.626078 | + | 0.779760i | \(0.715341\pi\) | |||||||
\(948\) | −507.638 | − | 628.811i | −0.0173917 | − | 0.0215431i | ||||
\(949\) | 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 | −0.629521 | − | 0.776983i | \(-0.716749\pi\) |
0.655864 | + | 0.754879i | \(0.272305\pi\) | |||||||
\(954\) | −5076.22 | + | 23533.6i | −0.172273 | + | 0.798668i | ||||
\(955\) | 15531.6 | + | 5653.05i | 0.526274 | + | 0.191548i | ||||
\(956\) | −8777.35 | + | 10460.4i | −0.296945 | + | 0.353886i | ||||
\(957\) | −50.8989 | + | 2684.71i | −0.00171926 | + | 0.0906837i | ||||
\(958\) | −6562.34 | + | 3788.77i | −0.221315 | + | 0.127776i | ||||
\(959\) | 31579.9 | + | 5568.38i | 1.06336 | + | 0.187500i | ||||
\(960\) | −786.462 | − | 2295.26i | −0.0264406 | − | 0.0771657i | ||||
\(961\) | 11522.9 | + | 19958.2i | 0.386790 | + | 0.669940i | ||||
\(962\) | −7821.73 | + | 13547.6i | −0.262144 | + | 0.454047i | ||||
\(963\) | 7762.78 | − | 2496.50i | 0.259763 | − | 0.0835396i | ||||
\(964\) | 7794.55 | − | 21415.4i | 0.260421 | − | 0.715500i | ||||
\(965\) | 4890.99 | − | 1780.17i | 0.163157 | − | 0.0593843i | ||||
\(966\) | −7443.06 | + | 19303.1i | −0.247905 | + | 0.642925i | ||||
\(967\) | −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 | ||||||||
\(969\) | 2126.93 | − | 3562.26i | 0.0705128 | − | 0.118097i | ||||
\(970\) | −9736.69 | −0.322295 | ||||||||
\(971\) | 8372.56 | + | 47483.2i | 0.276713 | + | 1.56932i | 0.733467 | + | 0.679725i | \(0.237901\pi\) |
−0.456755 | + | 0.889593i | \(0.650988\pi\) | |||||||
\(972\) | −1207.09 | − | 15103.8i | −0.0398329 | − | 0.498411i | ||||
\(973\) | 18392.0 | − | 6694.15i | 0.605983 | − | 0.220560i | ||||
\(974\) | 6809.72 | − | 18709.6i | 0.224022 | − | 0.615496i | ||||
\(975\) | −19077.9 | − | 3738.13i | −0.626647 | − | 0.122786i | ||||
\(976\) | −260.110 | + | 450.524i | −0.00853065 | + | 0.0147755i | ||||
\(977\) | 20159.4 | + | 34917.1i | 0.660140 | + | 1.14340i | 0.980579 | + | 0.196126i | \(0.0628363\pi\) |
−0.320439 | + | 0.947269i | \(0.603830\pi\) | |||||||
\(978\) | −15647.1 | + | 5361.45i | −0.511595 | + | 0.175297i | ||||
\(979\) | −2249.79 | − | 396.698i | −0.0734459 | − | 0.0129505i | ||||
\(980\) | −8486.33 | + | 4899.59i | −0.276618 | + | 0.159706i | ||||
\(981\) | −6426.85 | + | 3392.47i | −0.209168 | + | 0.110411i | ||||
\(982\) | 7356.51 | − | 8767.15i | 0.239059 | − | 0.284899i | ||||
\(983\) | 1025.97 | + | 373.421i | 0.0332892 | + | 0.0121163i | 0.358611 | − | 0.933487i | \(-0.383250\pi\) |
−0.325322 | + | 0.945603i | \(0.605473\pi\) | |||||||
\(984\) | 6961.14 | + | 6069.62i | 0.225521 | + | 0.196639i | ||||
\(985\) | 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 | ||||||
\(990\) | −672.369 | − | 274.009i | −0.0215851 | − | 0.00879654i | ||||
\(991\) | 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 | ||||
\(993\) | 30599.4 | − | 4799.33i | 0.977888 | − | 0.153376i | ||||
\(994\) | 27178.5 | + | 22805.5i | 0.867255 | + | 0.727713i | ||||
\(995\) | 23681.2 | + | 13672.3i | 0.754516 | + | 0.435620i | ||||
\(996\) | −6765.88 | − | 4079.21i | −0.215246 | − | 0.129774i | ||||
\(997\) | 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 | ||||
\(999\) | −18799.3 | + | 9472.15i | −0.595377 | + | 0.299986i |
(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.a.29.9 | ✓ | 60 | |
3.2 | odd | 2 | 114.4.l.b.29.6 | yes | 60 | ||
19.2 | odd | 18 | 114.4.l.b.59.6 | yes | 60 | ||
57.2 | even | 18 | inner | 114.4.l.a.59.9 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.4.l.a.29.9 | ✓ | 60 | 1.1 | even | 1 | trivial | |
114.4.l.a.59.9 | yes | 60 | 57.2 | even | 18 | inner | |
114.4.l.b.29.6 | yes | 60 | 3.2 | odd | 2 | ||
114.4.l.b.59.6 | yes | 60 | 19.2 | odd | 18 |