Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.100 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.100 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.81868 | + | 0.832105i | 0.909341 | + | 0.416053i | ||||
\(3\) | 2.70161 | + | 1.30434i | 0.900537 | + | 0.434780i | ||||
\(4\) | 2.61520 | + | 3.02667i | 0.653801 | + | 0.756667i | ||||
\(5\) | 1.23074 | + | 4.84616i | 0.246148 | + | 0.969232i | ||||
\(6\) | 3.82802 | + | 4.62020i | 0.638003 | + | 0.770034i | ||||
\(7\) | 7.10365 | − | 7.10365i | 1.01481 | − | 1.01481i | 0.0149189 | − | 0.999889i | \(-0.495251\pi\) |
0.999889 | − | 0.0149189i | \(-0.00474902\pi\) | |||||||
\(8\) | 2.23771 | + | 7.68067i | 0.279714 | + | 0.960083i | ||||
\(9\) | 5.59740 | + | 7.04763i | 0.621933 | + | 0.783071i | ||||
\(10\) | −1.79419 | + | 9.83773i | −0.179419 | + | 0.983773i | ||||
\(11\) | −16.9403 | − | 12.3079i | −1.54003 | − | 1.11890i | −0.950316 | − | 0.311288i | \(-0.899240\pi\) |
−0.589716 | − | 0.807611i | \(-0.700760\pi\) | |||||||
\(12\) | 3.11745 | + | 11.5880i | 0.259788 | + | 0.965666i | ||||
\(13\) | 0.159706 | − | 1.00834i | 0.0122851 | − | 0.0775648i | −0.980784 | − | 0.195096i | \(-0.937498\pi\) |
0.993069 | + | 0.117531i | \(0.0374981\pi\) | |||||||
\(14\) | 18.8303 | − | 7.00829i | 1.34502 | − | 0.500592i | ||||
\(15\) | −2.99606 | + | 14.6977i | −0.199737 | + | 0.979850i | ||||
\(16\) | −2.32144 | + | 15.8307i | −0.145090 | + | 0.989419i | ||||
\(17\) | −4.70045 | − | 9.22514i | −0.276497 | − | 0.542656i | 0.710441 | − | 0.703757i | \(-0.248495\pi\) |
−0.986938 | + | 0.161101i | \(0.948495\pi\) | |||||||
\(18\) | 4.31551 | + | 17.4750i | 0.239750 | + | 0.970835i | ||||
\(19\) | 8.42339 | − | 25.9245i | 0.443336 | − | 1.36445i | −0.440962 | − | 0.897526i | \(-0.645363\pi\) |
0.884298 | − | 0.466923i | \(-0.154637\pi\) | |||||||
\(20\) | −11.4491 | + | 16.3987i | −0.572454 | + | 0.819937i | ||||
\(21\) | 28.4569 | − | 9.92573i | 1.35509 | − | 0.472654i | ||||
\(22\) | −20.5676 | − | 36.4803i | −0.934893 | − | 1.65819i | ||||
\(23\) | −32.9427 | + | 5.21761i | −1.43229 | + | 0.226853i | −0.823877 | − | 0.566768i | \(-0.808194\pi\) |
−0.608413 | + | 0.793621i | \(0.708194\pi\) | |||||||
\(24\) | −3.97277 | + | 23.6689i | −0.165532 | + | 0.986204i | ||||
\(25\) | −21.9706 | + | 11.9287i | −0.878822 | + | 0.477150i | ||||
\(26\) | 1.12950 | − | 1.70096i | 0.0434423 | − | 0.0654216i | ||||
\(27\) | 5.92948 | + | 26.3409i | 0.219610 | + | 0.975588i | ||||
\(28\) | 40.0779 | + | 2.92291i | 1.43135 | + | 0.104390i | ||||
\(29\) | 3.21887 | + | 9.90668i | 0.110996 | + | 0.341610i | 0.991091 | − | 0.133188i | \(-0.0425213\pi\) |
−0.880095 | + | 0.474797i | \(0.842521\pi\) | |||||||
\(30\) | −17.6789 | + | 24.2375i | −0.589298 | + | 0.807916i | ||||
\(31\) | 17.9030 | + | 5.81703i | 0.577516 | + | 0.187646i | 0.583187 | − | 0.812338i | \(-0.301805\pi\) |
−0.00567165 | + | 0.999984i | \(0.501805\pi\) | |||||||
\(32\) | −17.3948 | + | 26.8593i | −0.543586 | + | 0.839353i | ||||
\(33\) | −29.7126 | − | 55.3471i | −0.900381 | − | 1.67718i | ||||
\(34\) | −0.872322 | − | 20.6889i | −0.0256565 | − | 0.608496i | ||||
\(35\) | 43.1682 | + | 25.6827i | 1.23338 | + | 0.733791i | ||||
\(36\) | −6.69253 | + | 35.3724i | −0.185903 | + | 0.982568i | ||||
\(37\) | −7.49131 | − | 1.18651i | −0.202468 | − | 0.0320678i | 0.0543766 | − | 0.998520i | \(-0.482683\pi\) |
−0.256845 | + | 0.966453i | \(0.582683\pi\) | |||||||
\(38\) | 36.8914 | − | 40.1393i | 0.970826 | − | 1.05630i | ||||
\(39\) | 1.74668 | − | 2.51584i | 0.0447868 | − | 0.0645087i | ||||
\(40\) | −34.4677 | + | 20.2972i | −0.861693 | + | 0.507431i | ||||
\(41\) | 30.4080 | + | 41.8530i | 0.741659 | + | 1.02081i | 0.998522 | + | 0.0543577i | \(0.0173111\pi\) |
−0.256863 | + | 0.966448i | \(0.582689\pi\) | |||||||
\(42\) | 60.0132 | + | 5.62738i | 1.42889 | + | 0.133985i | ||||
\(43\) | −31.4182 | − | 31.4182i | −0.730656 | − | 0.730656i | 0.240094 | − | 0.970750i | \(-0.422822\pi\) |
−0.970750 | + | 0.240094i | \(0.922822\pi\) | |||||||
\(44\) | −7.05056 | − | 83.4604i | −0.160240 | − | 1.89683i | ||||
\(45\) | −27.2650 | + | 35.7997i | −0.605889 | + | 0.795549i | ||||
\(46\) | −64.2538 | − | 17.9226i | −1.39682 | − | 0.389622i | ||||
\(47\) | 20.4625 | − | 40.1599i | 0.435373 | − | 0.854467i | −0.564211 | − | 0.825630i | \(-0.690820\pi\) |
0.999584 | − | 0.0288366i | \(-0.00918026\pi\) | |||||||
\(48\) | −26.9202 | + | 39.7404i | −0.560838 | + | 0.827926i | ||||
\(49\) | − | 51.9238i | − | 1.05967i | ||||||
\(50\) | −49.8834 | + | 3.41277i | −0.997668 | + | 0.0682554i | ||||
\(51\) | −0.666052 | − | 31.0537i | −0.0130598 | − | 0.608896i | ||||
\(52\) | 3.46958 | − | 2.15364i | 0.0667227 | − | 0.0414162i | ||||
\(53\) | −6.10178 | + | 11.9754i | −0.115128 | + | 0.225951i | −0.941379 | − | 0.337351i | \(-0.890469\pi\) |
0.826251 | + | 0.563302i | \(0.190469\pi\) | |||||||
\(54\) | −11.1345 | + | 52.8396i | −0.206195 | + | 0.978511i | ||||
\(55\) | 38.7968 | − | 97.2435i | 0.705396 | − | 1.76806i | ||||
\(56\) | 70.4567 | + | 38.6649i | 1.25816 | + | 0.690444i | ||||
\(57\) | 56.5711 | − | 59.0510i | 0.992475 | − | 1.03598i | ||||
\(58\) | −2.38929 | + | 20.6955i | −0.0411947 | + | 0.356819i | ||||
\(59\) | 14.9584 | + | 20.5885i | 0.253533 | + | 0.348958i | 0.916745 | − | 0.399474i | \(-0.130807\pi\) |
−0.663212 | + | 0.748432i | \(0.730807\pi\) | |||||||
\(60\) | −52.3205 | + | 29.3695i | −0.872008 | + | 0.489492i | ||||
\(61\) | 25.7256 | + | 18.6907i | 0.421731 | + | 0.306405i | 0.778334 | − | 0.627851i | \(-0.216065\pi\) |
−0.356603 | + | 0.934256i | \(0.616065\pi\) | |||||||
\(62\) | 27.7194 | + | 25.4765i | 0.447088 | + | 0.410911i | ||||
\(63\) | 89.8259 | + | 10.3020i | 1.42581 | + | 0.163524i | ||||
\(64\) | −53.9853 | + | 34.3743i | −0.843520 | + | 0.537098i | ||||
\(65\) | 5.08315 | − | 0.467049i | 0.0782022 | − | 0.00718537i | ||||
\(66\) | −7.98309 | − | 125.383i | −0.120956 | − | 1.89974i | ||||
\(67\) | 26.0255 | + | 51.0780i | 0.388441 | + | 0.762358i | 0.999574 | − | 0.0291696i | \(-0.00928630\pi\) |
−0.611134 | + | 0.791527i | \(0.709286\pi\) | |||||||
\(68\) | 15.6288 | − | 38.3523i | 0.229836 | − | 0.564004i | ||||
\(69\) | −95.8038 | − | 28.8725i | −1.38846 | − | 0.418442i | ||||
\(70\) | 57.1385 | + | 82.6291i | 0.816264 | + | 1.18042i | ||||
\(71\) | −16.3795 | − | 50.4110i | −0.230697 | − | 0.710013i | −0.997663 | − | 0.0683254i | \(-0.978234\pi\) |
0.766966 | − | 0.641688i | \(-0.221766\pi\) | |||||||
\(72\) | −41.6052 | + | 58.7623i | −0.577850 | + | 0.816143i | ||||
\(73\) | −5.16496 | + | 0.818050i | −0.0707529 | + | 0.0112062i | −0.191711 | − | 0.981452i | \(-0.561403\pi\) |
0.120958 | + | 0.992658i | \(0.461403\pi\) | |||||||
\(74\) | −12.6370 | − | 8.39144i | −0.170770 | − | 0.113398i | ||||
\(75\) | −74.9150 | + | 3.56976i | −0.998867 | + | 0.0475967i | ||||
\(76\) | 100.494 | − | 42.3031i | 1.32229 | − | 0.556619i | ||||
\(77\) | −207.769 | + | 32.9074i | −2.69830 | + | 0.427369i | ||||
\(78\) | 5.27010 | − | 3.12208i | 0.0675654 | − | 0.0400267i | ||||
\(79\) | −4.24828 | − | 13.0749i | −0.0537757 | − | 0.165505i | 0.920562 | − | 0.390597i | \(-0.127731\pi\) |
−0.974337 | + | 0.225093i | \(0.927731\pi\) | |||||||
\(80\) | −79.5752 | + | 8.23344i | −0.994690 | + | 0.102918i | ||||
\(81\) | −18.3383 | + | 78.8968i | −0.226399 | + | 0.974035i | ||||
\(82\) | 20.4763 | + | 101.420i | 0.249712 | + | 1.23683i | ||||
\(83\) | 45.7870 | + | 89.8621i | 0.551651 | + | 1.08268i | 0.983530 | + | 0.180744i | \(0.0578507\pi\) |
−0.431879 | + | 0.901931i | \(0.642149\pi\) | |||||||
\(84\) | 104.462 | + | 60.1717i | 1.24360 | + | 0.716330i | ||||
\(85\) | 38.9215 | − | 34.1329i | 0.457900 | − | 0.401563i | ||||
\(86\) | −30.9964 | − | 83.2829i | −0.360424 | − | 0.968406i | ||||
\(87\) | −4.22553 | + | 30.9625i | −0.0485693 | + | 0.355891i | ||||
\(88\) | 56.6251 | − | 157.655i | 0.643467 | − | 1.79153i | ||||
\(89\) | −75.3673 | − | 54.7576i | −0.846824 | − | 0.615254i | 0.0774446 | − | 0.996997i | \(-0.475324\pi\) |
−0.924268 | + | 0.381743i | \(0.875324\pi\) | |||||||
\(90\) | −79.3755 | + | 42.4209i | −0.881950 | + | 0.471343i | ||||
\(91\) | −6.02842 | − | 8.29741i | −0.0662464 | − | 0.0911803i | ||||
\(92\) | −101.944 | − | 86.0614i | −1.10808 | − | 0.935450i | ||||
\(93\) | 40.7795 | + | 39.0669i | 0.438489 | + | 0.420075i | ||||
\(94\) | 70.6321 | − | 56.0112i | 0.751405 | − | 0.595864i | ||||
\(95\) | 136.001 | + | 8.91471i | 1.43159 | + | 0.0938390i | ||||
\(96\) | −82.0275 | + | 49.8747i | −0.854453 | + | 0.519528i | ||||
\(97\) | 21.8908 | − | 42.9631i | 0.225678 | − | 0.442919i | −0.750207 | − | 0.661203i | \(-0.770046\pi\) |
0.975885 | + | 0.218285i | \(0.0700461\pi\) | |||||||
\(98\) | 43.2060 | − | 94.4328i | 0.440878 | − | 0.963600i | ||||
\(99\) | −8.08038 | − | 188.281i | −0.0816200 | − | 1.90183i | ||||
\(100\) | −93.5618 | − | 35.3015i | −0.935618 | − | 0.353015i | ||||
\(101\) | − | 98.9830i | − | 0.980030i | −0.871714 | − | 0.490015i | \(-0.836991\pi\) | ||
0.871714 | − | 0.490015i | \(-0.163009\pi\) | |||||||
\(102\) | 24.6286 | − | 57.0310i | 0.241457 | − | 0.559128i | ||||
\(103\) | −0.591793 | + | 1.16146i | −0.00574556 | + | 0.0112763i | −0.893861 | − | 0.448343i | \(-0.852014\pi\) |
0.888116 | + | 0.459620i | \(0.152014\pi\) | |||||||
\(104\) | 8.10212 | − | 1.02973i | 0.0779050 | − | 0.00990129i | ||||
\(105\) | 83.1247 | + | 125.691i | 0.791664 | + | 1.19705i | ||||
\(106\) | −21.0620 | + | 16.7021i | −0.198698 | + | 0.157567i | ||||
\(107\) | −2.20628 | − | 2.20628i | −0.0206194 | − | 0.0206194i | 0.696722 | − | 0.717341i | \(-0.254641\pi\) |
−0.717341 | + | 0.696722i | \(0.754641\pi\) | |||||||
\(108\) | −64.2183 | + | 86.8332i | −0.594614 | + | 0.804012i | ||||
\(109\) | −84.2130 | − | 115.909i | −0.772597 | − | 1.06339i | −0.996061 | − | 0.0886759i | \(-0.971736\pi\) |
0.223464 | − | 0.974712i | \(-0.428264\pi\) | |||||||
\(110\) | 151.476 | − | 144.572i | 1.37705 | − | 1.31429i | ||||
\(111\) | −18.6910 | − | 12.9767i | −0.168387 | − | 0.116907i | ||||
\(112\) | 95.9651 | + | 128.946i | 0.856831 | + | 1.15131i | ||||
\(113\) | 148.639 | + | 23.5421i | 1.31539 | + | 0.208337i | 0.774401 | − | 0.632695i | \(-0.218051\pi\) |
0.540986 | + | 0.841032i | \(0.318051\pi\) | |||||||
\(114\) | 152.021 | − | 60.3218i | 1.33352 | − | 0.529139i | ||||
\(115\) | −65.8293 | − | 153.224i | −0.572429 | − | 1.33238i | ||||
\(116\) | −21.5662 | + | 35.6504i | −0.185916 | + | 0.307331i | ||||
\(117\) | 8.00036 | − | 4.51854i | 0.0683792 | − | 0.0386200i | ||||
\(118\) | 10.0728 | + | 49.8909i | 0.0853628 | + | 0.422804i | ||||
\(119\) | −98.9226 | − | 32.1419i | −0.831282 | − | 0.270100i | ||||
\(120\) | −119.593 | + | 9.87763i | −0.996606 | + | 0.0823136i | ||||
\(121\) | 98.1003 | + | 301.922i | 0.810747 | + | 2.49522i | ||||
\(122\) | 31.2340 | + | 55.3988i | 0.256016 | + | 0.454089i | ||||
\(123\) | 27.5600 | + | 152.733i | 0.224065 | + | 1.24173i | ||||
\(124\) | 29.2137 | + | 69.3991i | 0.235594 | + | 0.559670i | ||||
\(125\) | −84.8487 | − | 91.7916i | −0.678789 | − | 0.734333i | ||||
\(126\) | 154.792 | + | 93.4806i | 1.22851 | + | 0.741910i | ||||
\(127\) | 87.2438 | − | 13.8181i | 0.686959 | − | 0.108804i | 0.196809 | − | 0.980442i | \(-0.436942\pi\) |
0.490150 | + | 0.871638i | \(0.336942\pi\) | |||||||
\(128\) | −126.785 | + | 17.5944i | −0.990508 | + | 0.137456i | ||||
\(129\) | −43.8997 | − | 125.860i | −0.340308 | − | 0.975657i | ||||
\(130\) | 9.63326 | + | 3.38030i | 0.0741020 | + | 0.0260023i | ||||
\(131\) | −72.4036 | + | 222.835i | −0.552699 | + | 1.70103i | 0.149245 | + | 0.988800i | \(0.452316\pi\) |
−0.701944 | + | 0.712233i | \(0.747684\pi\) | |||||||
\(132\) | 89.8129 | − | 234.674i | 0.680400 | − | 1.77783i | ||||
\(133\) | −124.322 | − | 243.996i | −0.934752 | − | 1.83455i | ||||
\(134\) | 4.82989 | + | 114.550i | 0.0360440 | + | 0.854854i | ||||
\(135\) | −120.354 | + | 61.1540i | −0.891514 | + | 0.452993i | ||||
\(136\) | 60.3370 | − | 56.7458i | 0.443654 | − | 0.417248i | ||||
\(137\) | 7.67562 | − | 48.4620i | 0.0560264 | − | 0.353737i | −0.943710 | − | 0.330774i | \(-0.892690\pi\) |
0.999736 | − | 0.0229626i | \(-0.00730987\pi\) | |||||||
\(138\) | −150.212 | − | 132.229i | −1.08849 | − | 0.958179i | ||||
\(139\) | −121.105 | − | 87.9876i | −0.871256 | − | 0.633004i | 0.0596677 | − | 0.998218i | \(-0.480996\pi\) |
−0.930924 | + | 0.365214i | \(0.880996\pi\) | |||||||
\(140\) | 35.1606 | + | 197.821i | 0.251147 | + | 1.41301i | ||||
\(141\) | 107.664 | − | 81.8065i | 0.763574 | − | 0.580188i | ||||
\(142\) | 12.1581 | − | 105.311i | 0.0856205 | − | 0.741626i | ||||
\(143\) | −15.1160 | + | 15.1160i | −0.105707 | + | 0.105707i | ||||
\(144\) | −124.563 | + | 72.2501i | −0.865021 | + | 0.501736i | ||||
\(145\) | −44.0478 | + | 27.7917i | −0.303778 | + | 0.191667i | ||||
\(146\) | −10.0741 | − | 2.81002i | −0.0690009 | − | 0.0192467i | ||||
\(147\) | 67.7262 | − | 140.278i | 0.460723 | − | 0.954271i | ||||
\(148\) | −16.0001 | − | 25.7767i | −0.108109 | − | 0.174167i | ||||
\(149\) | 83.4330 | 0.559953 | 0.279977 | − | 0.960007i | \(-0.409673\pi\) | ||||
0.279977 | + | 0.960007i | \(0.409673\pi\) | |||||||
\(150\) | −139.217 | − | 55.8449i | −0.928113 | − | 0.372299i | ||||
\(151\) | 112.461i | 0.744774i | 0.928077 | + | 0.372387i | \(0.121461\pi\) | ||||
−0.928077 | + | 0.372387i | \(0.878539\pi\) | |||||||
\(152\) | 217.967 | + | 6.68559i | 1.43399 | + | 0.0439842i | ||||
\(153\) | 38.7052 | − | 84.7638i | 0.252975 | − | 0.554012i | ||||
\(154\) | −405.249 | − | 113.038i | −2.63148 | − | 0.734012i | ||||
\(155\) | −6.15633 | + | 93.9200i | −0.0397182 | + | 0.605936i | ||||
\(156\) | 12.1825 | − | 1.29279i | 0.0780932 | − | 0.00828713i | ||||
\(157\) | 111.011 | + | 111.011i | 0.707075 | + | 0.707075i | 0.965919 | − | 0.258844i | \(-0.0833415\pi\) |
−0.258844 | + | 0.965919i | \(0.583342\pi\) | |||||||
\(158\) | 3.15339 | − | 27.3140i | 0.0199582 | − | 0.172874i | ||||
\(159\) | −32.1046 | + | 24.3941i | −0.201916 | + | 0.153422i | ||||
\(160\) | −151.573 | − | 51.2409i | −0.947331 | − | 0.320256i | ||||
\(161\) | −196.949 | + | 271.077i | −1.22329 | + | 1.68371i | ||||
\(162\) | −99.0020 | + | 128.229i | −0.611123 | + | 0.791535i | ||||
\(163\) | −143.651 | − | 22.7521i | −0.881297 | − | 0.139584i | −0.300645 | − | 0.953736i | \(-0.597202\pi\) |
−0.580651 | + | 0.814152i | \(0.697202\pi\) | |||||||
\(164\) | −47.1521 | + | 201.489i | −0.287513 | + | 1.22859i | ||||
\(165\) | 231.652 | − | 212.110i | 1.40395 | − | 1.28551i | ||||
\(166\) | 8.49729 | + | 201.530i | 0.0511885 | + | 1.21404i | ||||
\(167\) | 172.956 | − | 88.1256i | 1.03567 | − | 0.527698i | 0.148386 | − | 0.988930i | \(-0.452592\pi\) |
0.887280 | + | 0.461232i | \(0.152592\pi\) | |||||||
\(168\) | 139.915 | + | 196.357i | 0.832825 | + | 1.16879i | ||||
\(169\) | 159.737 | + | 51.9018i | 0.945191 | + | 0.307111i | ||||
\(170\) | 99.1879 | − | 29.6901i | 0.583458 | − | 0.174647i | ||||
\(171\) | 229.856 | − | 85.7449i | 1.34418 | − | 0.501432i | ||||
\(172\) | 12.9275 | − | 177.257i | 0.0751600 | − | 1.03057i | ||||
\(173\) | 15.9975 | + | 101.004i | 0.0924713 | + | 0.583841i | 0.989798 | + | 0.142475i | \(0.0455060\pi\) |
−0.897327 | + | 0.441366i | \(0.854494\pi\) | |||||||
\(174\) | −33.4489 | + | 52.7948i | −0.192235 | + | 0.303418i | ||||
\(175\) | −71.3335 | + | 240.809i | −0.407620 | + | 1.37605i | ||||
\(176\) | 234.168 | − | 239.606i | 1.33050 | − | 1.36140i | ||||
\(177\) | 13.5574 | + | 75.1330i | 0.0765957 | + | 0.424480i | ||||
\(178\) | −91.5051 | − | 162.300i | −0.514073 | − | 0.911798i | ||||
\(179\) | −248.632 | + | 80.7854i | −1.38901 | + | 0.451315i | −0.905619 | − | 0.424092i | \(-0.860593\pi\) |
−0.483386 | + | 0.875407i | \(0.660593\pi\) | |||||||
\(180\) | −179.657 | + | 11.1013i | −0.998096 | + | 0.0616738i | ||||
\(181\) | 46.5234 | − | 143.184i | 0.257035 | − | 0.791074i | −0.736386 | − | 0.676561i | \(-0.763469\pi\) |
0.993422 | − | 0.114513i | \(-0.0365306\pi\) | |||||||
\(182\) | −4.05946 | − | 20.1066i | −0.0223047 | − | 0.110476i | ||||
\(183\) | 45.1214 | + | 84.0499i | 0.246565 | + | 0.459289i | ||||
\(184\) | −113.791 | − | 241.346i | −0.618429 | − | 1.31166i | ||||
\(185\) | −3.46986 | − | 37.7644i | −0.0187560 | − | 0.204132i | ||||
\(186\) | 41.6571 | + | 104.983i | 0.223963 | + | 0.564425i | ||||
\(187\) | −33.9148 | + | 214.130i | −0.181363 | + | 1.14508i | ||||
\(188\) | 175.064 | − | 43.0931i | 0.931194 | − | 0.229219i | ||||
\(189\) | 229.237 | + | 144.995i | 1.21290 | + | 0.767172i | ||||
\(190\) | 239.925 | + | 129.380i | 1.26276 | + | 0.680950i | ||||
\(191\) | −103.961 | + | 75.5317i | −0.544296 | + | 0.395454i | −0.825678 | − | 0.564142i | \(-0.809207\pi\) |
0.281382 | + | 0.959596i | \(0.409207\pi\) | |||||||
\(192\) | −190.683 | + | 22.4507i | −0.993140 | + | 0.116931i | ||||
\(193\) | −63.3391 | + | 63.3391i | −0.328182 | + | 0.328182i | −0.851895 | − | 0.523713i | \(-0.824546\pi\) |
0.523713 | + | 0.851895i | \(0.324546\pi\) | |||||||
\(194\) | 75.5622 | − | 59.9207i | 0.389496 | − | 0.308870i | ||||
\(195\) | 14.3419 | + | 5.36836i | 0.0735481 | + | 0.0275301i | ||||
\(196\) | 157.156 | − | 135.791i | 0.801817 | − | 0.692812i | ||||
\(197\) | 118.918 | + | 60.5918i | 0.603645 | + | 0.307572i | 0.728972 | − | 0.684543i | \(-0.239998\pi\) |
−0.125328 | + | 0.992115i | \(0.539998\pi\) | |||||||
\(198\) | 141.974 | − | 349.148i | 0.717042 | − | 1.76337i | ||||
\(199\) | 165.159 | 0.829944 | 0.414972 | − | 0.909834i | \(-0.363791\pi\) | ||||
0.414972 | + | 0.909834i | \(0.363791\pi\) | |||||||
\(200\) | −140.784 | − | 142.055i | −0.703922 | − | 0.710277i | ||||
\(201\) | 3.68781 | + | 171.939i | 0.0183473 | + | 0.855417i | ||||
\(202\) | 82.3643 | − | 180.019i | 0.407744 | − | 0.891181i | ||||
\(203\) | 93.2394 | + | 47.5078i | 0.459307 | + | 0.234029i | ||||
\(204\) | 92.2474 | − | 83.2277i | 0.452193 | − | 0.407979i | ||||
\(205\) | −165.402 | + | 198.872i | −0.806840 | + | 0.970109i | ||||
\(206\) | −2.04274 | + | 1.61989i | −0.00991620 | + | 0.00786354i | ||||
\(207\) | −221.165 | − | 202.963i | −1.06843 | − | 0.980497i | ||||
\(208\) | 15.5920 | + | 4.86906i | 0.0749616 | + | 0.0234089i | ||||
\(209\) | −461.771 | + | 335.496i | −2.20943 | + | 1.60525i | ||||
\(210\) | 46.5896 | + | 297.760i | 0.221855 | + | 1.41790i | ||||
\(211\) | −235.373 | + | 323.963i | −1.11551 | + | 1.53537i | −0.302475 | + | 0.953157i | \(0.597813\pi\) |
−0.813037 | + | 0.582213i | \(0.802187\pi\) | |||||||
\(212\) | −52.2030 | + | 12.8501i | −0.246240 | + | 0.0606135i | ||||
\(213\) | 21.5019 | − | 157.555i | 0.100948 | − | 0.739696i | ||||
\(214\) | −2.17666 | − | 5.84837i | −0.0101713 | − | 0.0273288i | ||||
\(215\) | 113.590 | − | 190.925i | 0.528325 | − | 0.888025i | ||||
\(216\) | −189.047 | + | 104.486i | −0.875217 | + | 0.483730i | ||||
\(217\) | 168.499 | − | 85.8544i | 0.776492 | − | 0.395643i | ||||
\(218\) | −56.7079 | − | 280.876i | −0.260128 | − | 1.28842i | ||||
\(219\) | −15.0207 | − | 4.52681i | −0.0685878 | − | 0.0206704i | ||||
\(220\) | 395.785 | − | 136.886i | 1.79902 | − | 0.622211i | ||||
\(221\) | −10.0528 | + | 3.26635i | −0.0454877 | + | 0.0147799i | ||||
\(222\) | −23.1950 | − | 39.1534i | −0.104482 | − | 0.176366i | ||||
\(223\) | −5.75587 | − | 36.3411i | −0.0258111 | − | 0.162965i | 0.971416 | − | 0.237384i | \(-0.0762898\pi\) |
−0.997227 | + | 0.0744188i | \(0.976290\pi\) | |||||||
\(224\) | 67.2329 | + | 314.366i | 0.300147 | + | 1.40342i | ||||
\(225\) | −207.047 | − | 88.0705i | −0.920210 | − | 0.391424i | ||||
\(226\) | 250.737 | + | 166.499i | 1.10946 | + | 0.736720i | ||||
\(227\) | 34.8739 | + | 220.185i | 0.153630 | + | 0.969979i | 0.937230 | + | 0.348713i | \(0.113381\pi\) |
−0.783600 | + | 0.621266i | \(0.786619\pi\) | |||||||
\(228\) | 326.673 | + | 16.7916i | 1.43277 | + | 0.0736474i | ||||
\(229\) | −278.382 | + | 90.4517i | −1.21564 | + | 0.394986i | −0.845493 | − | 0.533987i | \(-0.820693\pi\) |
−0.370148 | + | 0.928973i | \(0.620693\pi\) | |||||||
\(230\) | 7.77598 | − | 333.442i | 0.0338086 | − | 1.44975i | ||||
\(231\) | −604.234 | − | 182.099i | −2.61573 | − | 0.788306i | ||||
\(232\) | −68.8870 | + | 46.8914i | −0.296927 | + | 0.202118i | ||||
\(233\) | 35.2712 | − | 17.9716i | 0.151379 | − | 0.0771313i | −0.376660 | − | 0.926352i | \(-0.622928\pi\) |
0.528039 | + | 0.849220i | \(0.322928\pi\) | |||||||
\(234\) | 18.3100 | − | 1.56065i | 0.0782479 | − | 0.00666943i | ||||
\(235\) | 219.806 | + | 49.7381i | 0.935343 | + | 0.211652i | ||||
\(236\) | −23.1953 | + | 99.1173i | −0.0982850 | + | 0.419989i | ||||
\(237\) | 5.57686 | − | 40.8644i | 0.0235311 | − | 0.172424i | ||||
\(238\) | −153.163 | − | 140.770i | −0.643543 | − | 0.591470i | ||||
\(239\) | 177.640 | − | 244.501i | 0.743265 | − | 1.02302i | −0.255159 | − | 0.966899i | \(-0.582128\pi\) |
0.998424 | − | 0.0561179i | \(-0.0178723\pi\) | |||||||
\(240\) | −225.720 | − | 81.5495i | −0.940501 | − | 0.339790i | ||||
\(241\) | 52.3753 | − | 38.0529i | 0.217325 | − | 0.157896i | −0.473797 | − | 0.880634i | \(-0.657117\pi\) |
0.691122 | + | 0.722738i | \(0.257117\pi\) | |||||||
\(242\) | −72.8174 | + | 630.729i | −0.300899 | + | 2.60632i | ||||
\(243\) | −152.451 | + | 189.229i | −0.627371 | + | 0.778720i | ||||
\(244\) | 10.7070 | + | 126.743i | 0.0438810 | + | 0.519437i | ||||
\(245\) | 251.631 | − | 63.9048i | 1.02707 | − | 0.260836i | ||||
\(246\) | −76.9670 | + | 300.705i | −0.312874 | + | 1.22238i | ||||
\(247\) | −24.7955 | − | 12.6340i | −0.100387 | − | 0.0511496i | ||||
\(248\) | −4.61695 | + | 150.524i | −0.0186167 | + | 0.606950i | ||||
\(249\) | 6.48801 | + | 302.494i | 0.0260563 | + | 1.21484i | ||||
\(250\) | −77.9324 | − | 237.543i | −0.311730 | − | 0.950171i | ||||
\(251\) | −371.373 | −1.47957 | −0.739787 | − | 0.672841i | \(-0.765074\pi\) | ||||
−0.739787 | + | 0.672841i | \(0.765074\pi\) | |||||||
\(252\) | 203.732 | + | 298.815i | 0.808461 | + | 1.18577i | ||||
\(253\) | 622.278 | + | 317.067i | 2.45960 | + | 1.25323i | ||||
\(254\) | 170.167 | + | 47.4654i | 0.669948 | + | 0.186872i | ||||
\(255\) | 149.672 | − | 41.4469i | 0.586947 | − | 0.162537i | ||||
\(256\) | −245.222 | − | 73.4999i | −0.957898 | − | 0.287109i | ||||
\(257\) | 59.7342 | − | 59.7342i | 0.232429 | − | 0.232429i | −0.581277 | − | 0.813706i | \(-0.697447\pi\) |
0.813706 | + | 0.581277i | \(0.197447\pi\) | |||||||
\(258\) | 24.8889 | − | 265.428i | 0.0964687 | − | 1.02879i | ||||
\(259\) | −61.6442 | + | 44.7872i | −0.238009 | + | 0.172923i | ||||
\(260\) | 14.7071 | + | 14.1636i | 0.0565656 | + | 0.0544753i | ||||
\(261\) | −51.8013 | + | 78.1371i | −0.198473 | + | 0.299376i | ||||
\(262\) | −317.101 | + | 345.019i | −1.21031 | + | 1.31687i | ||||
\(263\) | −24.2082 | + | 152.844i | −0.0920463 | + | 0.581158i | 0.897954 | + | 0.440090i | \(0.145053\pi\) |
−0.990000 | + | 0.141068i | \(0.954947\pi\) | |||||||
\(264\) | 358.614 | − | 352.063i | 1.35839 | − | 1.33357i | ||||
\(265\) | −65.5445 | − | 14.8316i | −0.247338 | − | 0.0559681i | ||||
\(266\) | −23.0720 | − | 547.199i | −0.0867369 | − | 2.05714i | ||||
\(267\) | −132.191 | − | 246.238i | −0.495096 | − | 0.922240i | ||||
\(268\) | −86.5340 | + | 212.350i | −0.322888 | + | 0.792350i | ||||
\(269\) | −106.141 | + | 326.670i | −0.394578 | + | 1.21439i | 0.534712 | + | 0.845035i | \(0.320420\pi\) |
−0.929290 | + | 0.369352i | \(0.879580\pi\) | |||||||
\(270\) | −269.773 | + | 11.0721i | −0.999159 | + | 0.0410077i | ||||
\(271\) | 189.773 | − | 61.6610i | 0.700270 | − | 0.227531i | 0.0628217 | − | 0.998025i | \(-0.479990\pi\) |
0.637448 | + | 0.770493i | \(0.279990\pi\) | |||||||
\(272\) | 156.952 | − | 52.9957i | 0.577030 | − | 0.194837i | ||||
\(273\) | −5.46380 | − | 30.2795i | −0.0200139 | − | 0.110914i | ||||
\(274\) | 54.2849 | − | 81.7499i | 0.198120 | − | 0.298357i | ||||
\(275\) | 519.006 | + | 68.3339i | 1.88730 | + | 0.248487i | ||||
\(276\) | −163.159 | − | 365.474i | −0.591155 | − | 1.32418i | ||||
\(277\) | 7.87859 | + | 49.7435i | 0.0284426 | + | 0.179579i | 0.997820 | − | 0.0659970i | \(-0.0210228\pi\) |
−0.969377 | + | 0.245576i | \(0.921023\pi\) | |||||||
\(278\) | −147.036 | − | 260.793i | −0.528905 | − | 0.938105i | ||||
\(279\) | 59.2138 | + | 158.734i | 0.212236 | + | 0.568939i | ||||
\(280\) | −100.662 | + | 389.031i | −0.359507 | + | 1.38940i | ||||
\(281\) | 368.536 | + | 119.745i | 1.31152 | + | 0.426138i | 0.879573 | − | 0.475763i | \(-0.157828\pi\) |
0.431943 | + | 0.901901i | \(0.357828\pi\) | |||||||
\(282\) | 263.878 | − | 59.1921i | 0.935737 | − | 0.209901i | ||||
\(283\) | 146.388 | − | 74.5883i | 0.517272 | − | 0.263563i | −0.175808 | − | 0.984425i | \(-0.556254\pi\) |
0.693079 | + | 0.720862i | \(0.256254\pi\) | |||||||
\(284\) | 109.741 | − | 181.410i | 0.386414 | − | 0.638768i | ||||
\(285\) | 355.795 | + | 201.476i | 1.24840 | + | 0.706934i | ||||
\(286\) | −40.0694 | + | 14.9131i | −0.140103 | + | 0.0521438i | ||||
\(287\) | 513.317 | + | 81.3015i | 1.78856 | + | 0.283280i | ||||
\(288\) | −286.660 | + | 27.7503i | −0.995347 | + | 0.0963553i | ||||
\(289\) | 106.861 | − | 147.081i | 0.369761 | − | 0.508932i | ||||
\(290\) | −103.234 | + | 13.8920i | −0.355981 | + | 0.0479033i | ||||
\(291\) | 115.179 | − | 87.5165i | 0.395804 | − | 0.300744i | ||||
\(292\) | −15.9834 | − | 13.4933i | −0.0547376 | − | 0.0462098i | ||||
\(293\) | −203.544 | − | 203.544i | −0.694688 | − | 0.694688i | 0.268571 | − | 0.963260i | \(-0.413448\pi\) |
−0.963260 | + | 0.268571i | \(0.913448\pi\) | |||||||
\(294\) | 239.898 | − | 198.765i | 0.815981 | − | 0.676072i | ||||
\(295\) | −81.3653 | + | 97.8301i | −0.275815 | + | 0.331627i | ||||
\(296\) | −7.65024 | − | 60.1933i | −0.0258454 | − | 0.203356i | ||||
\(297\) | 223.753 | − | 519.203i | 0.753377 | − | 1.74816i | ||||
\(298\) | 151.738 | + | 69.4251i | 0.509188 | + | 0.232970i | ||||
\(299\) | 34.0508i | 0.113882i | ||||||||
\(300\) | −206.722 | − | 217.407i | −0.689074 | − | 0.724691i | ||||
\(301\) | −446.368 | −1.48295 | ||||||||
\(302\) | −93.5793 | + | 204.531i | −0.309865 | + | 0.677254i | ||||
\(303\) | 129.107 | − | 267.413i | 0.426097 | − | 0.882553i | ||||
\(304\) | 390.849 | + | 193.530i | 1.28569 | + | 0.636612i | ||||
\(305\) | −58.9167 | + | 147.674i | −0.193169 | + | 0.484176i | ||||
\(306\) | 140.925 | − | 121.952i | 0.460539 | − | 0.398534i | ||||
\(307\) | −183.423 | + | 183.423i | −0.597470 | + | 0.597470i | −0.939639 | − | 0.342169i | \(-0.888839\pi\) |
0.342169 | + | 0.939639i | \(0.388839\pi\) | |||||||
\(308\) | −642.959 | − | 542.789i | −2.08753 | − | 1.76230i | ||||
\(309\) | −3.11373 | + | 2.36591i | −0.0100768 | + | 0.00765667i | ||||
\(310\) | −89.3477 | + | 165.688i | −0.288218 | + | 0.534477i | ||||
\(311\) | −432.497 | − | 314.228i | −1.39067 | − | 1.01038i | −0.995792 | − | 0.0916441i | \(-0.970788\pi\) |
−0.394875 | − | 0.918735i | \(-0.629212\pi\) | |||||||
\(312\) | 23.2319 | + | 7.78597i | 0.0744612 | + | 0.0249550i | ||||
\(313\) | −21.4797 | + | 135.617i | −0.0686251 | + | 0.433282i | 0.929324 | + | 0.369266i | \(0.120391\pi\) |
−0.997949 | + | 0.0640160i | \(0.979609\pi\) | |||||||
\(314\) | 109.521 | + | 294.266i | 0.348792 | + | 0.937153i | ||||
\(315\) | 60.6274 | + | 447.990i | 0.192468 | + | 1.42219i | ||||
\(316\) | 28.4631 | − | 47.0515i | 0.0900733 | − | 0.148897i | ||||
\(317\) | −206.710 | − | 405.692i | −0.652083 | − | 1.27979i | −0.946066 | − | 0.323975i | \(-0.894981\pi\) |
0.293982 | − | 0.955811i | \(-0.405019\pi\) | |||||||
\(318\) | −78.6865 | + | 17.6507i | −0.247442 | + | 0.0555053i | ||||
\(319\) | 67.4014 | − | 207.440i | 0.211290 | − | 0.650282i | ||||
\(320\) | −233.025 | − | 219.316i | −0.728203 | − | 0.685361i | ||||
\(321\) | −3.08277 | − | 8.83823i | −0.00960363 | − | 0.0275334i | ||||
\(322\) | −583.753 | + | 329.121i | −1.81290 | + | 1.02211i | ||||
\(323\) | −278.751 | + | 44.1498i | −0.863006 | + | 0.136687i | ||||
\(324\) | −286.753 | + | 150.827i | −0.885040 | + | 0.465516i | ||||
\(325\) | 8.51943 | + | 24.0589i | 0.0262136 | + | 0.0740275i | ||||
\(326\) | −242.324 | − | 160.912i | −0.743325 | − | 0.493595i | ||||
\(327\) | −76.3257 | − | 422.984i | −0.233412 | − | 1.29353i | ||||
\(328\) | −253.415 | + | 327.209i | −0.772606 | + | 0.997588i | ||||
\(329\) | −139.924 | − | 430.641i | −0.425300 | − | 1.30894i | ||||
\(330\) | 597.799 | − | 193.001i | 1.81151 | − | 0.584851i | ||||
\(331\) | 330.925 | + | 107.524i | 0.999772 | + | 0.324846i | 0.762774 | − | 0.646665i | \(-0.223837\pi\) |
0.236998 | + | 0.971510i | \(0.423837\pi\) | |||||||
\(332\) | −152.240 | + | 373.590i | −0.458555 | + | 1.12527i | ||||
\(333\) | −33.5698 | − | 59.4374i | −0.100810 | − | 0.178491i | ||||
\(334\) | 387.882 | − | 16.3546i | 1.16132 | − | 0.0489658i | ||||
\(335\) | −215.501 | + | 188.988i | −0.643288 | + | 0.564142i | ||||
\(336\) | 91.0703 | + | 473.534i | 0.271043 | + | 1.40933i | ||||
\(337\) | −237.745 | − | 37.6551i | −0.705475 | − | 0.111736i | −0.206619 | − | 0.978421i | \(-0.566246\pi\) |
−0.498855 | + | 0.866685i | \(0.666246\pi\) | |||||||
\(338\) | 247.323 | + | 227.311i | 0.731726 | + | 0.672518i | ||||
\(339\) | 370.857 | + | 257.477i | 1.09397 | + | 0.759519i | ||||
\(340\) | 205.096 | + | 28.5381i | 0.603225 | + | 0.0839355i | ||||
\(341\) | −231.687 | − | 318.890i | −0.679435 | − | 0.935163i | ||||
\(342\) | 489.383 | + | 35.3214i | 1.43094 | + | 0.103279i | ||||
\(343\) | −20.7695 | − | 20.7695i | −0.0605526 | − | 0.0605526i | ||||
\(344\) | 171.008 | − | 311.618i | 0.497116 | − | 0.905865i | ||||
\(345\) | 22.0110 | − | 499.815i | 0.0638001 | − | 1.44874i | ||||
\(346\) | −54.9519 | + | 197.007i | −0.158821 | + | 0.569383i | ||||
\(347\) | 194.708 | − | 382.137i | 0.561120 | − | 1.10126i | −0.419940 | − | 0.907552i | \(-0.637949\pi\) |
0.981059 | − | 0.193707i | \(-0.0620512\pi\) | |||||||
\(348\) | −104.764 | + | 68.1839i | −0.301045 | + | 0.195931i | ||||
\(349\) | 152.478i | 0.436899i | 0.975848 | + | 0.218449i | \(0.0700999\pi\) | ||||
−0.975848 | + | 0.218449i | \(0.929900\pi\) | |||||||
\(350\) | −330.111 | + | 378.597i | −0.943175 | + | 1.08171i | ||||
\(351\) | 27.5076 | − | 1.77215i | 0.0783692 | − | 0.00504887i | ||||
\(352\) | 625.254 | − | 240.913i | 1.77629 | − | 0.684413i | ||||
\(353\) | 229.076 | − | 449.587i | 0.648941 | − | 1.27362i | −0.298720 | − | 0.954341i | \(-0.596560\pi\) |
0.947661 | − | 0.319278i | \(-0.103440\pi\) | |||||||
\(354\) | −37.8619 | + | 147.924i | −0.106955 | + | 0.417865i | ||||
\(355\) | 224.141 | − | 141.421i | 0.631382 | − | 0.398368i | ||||
\(356\) | −31.3678 | − | 371.314i | −0.0881119 | − | 1.04302i | ||||
\(357\) | −225.326 | − | 215.863i | −0.631166 | − | 0.604660i | ||||
\(358\) | −519.404 | − | 59.9650i | −1.45085 | − | 0.167500i | ||||
\(359\) | −238.193 | − | 327.844i | −0.663490 | − | 0.913216i | 0.336101 | − | 0.941826i | \(-0.390892\pi\) |
−0.999591 | + | 0.0286105i | \(0.990892\pi\) | |||||||
\(360\) | −335.977 | − | 129.304i | −0.933269 | − | 0.359178i | ||||
\(361\) | −309.072 | − | 224.554i | −0.856155 | − | 0.622033i | ||||
\(362\) | 203.756 | − | 221.694i | 0.562861 | − | 0.612415i | ||||
\(363\) | −128.780 | + | 943.631i | −0.354765 | + | 2.59954i | ||||
\(364\) | 9.34796 | − | 39.9454i | 0.0256812 | − | 0.109740i | ||||
\(365\) | −10.3211 | − | 24.0234i | −0.0282771 | − | 0.0658176i | ||||
\(366\) | 12.1231 | + | 190.406i | 0.0331232 | + | 0.520234i | ||||
\(367\) | −157.242 | − | 308.605i | −0.428453 | − | 0.840887i | −0.999796 | − | 0.0201756i | \(-0.993577\pi\) |
0.571343 | − | 0.820711i | \(-0.306423\pi\) | |||||||
\(368\) | −6.12405 | − | 533.618i | −0.0166414 | − | 1.45005i | ||||
\(369\) | −124.759 | + | 448.572i | −0.338101 | + | 1.21564i | ||||
\(370\) | 25.1134 | − | 71.5687i | 0.0678740 | − | 0.193429i | ||||
\(371\) | 41.7243 | + | 128.414i | 0.112464 | + | 0.346130i | ||||
\(372\) | −11.5960 | + | 225.594i | −0.0311720 | + | 0.606435i | ||||
\(373\) | 57.3282 | − | 9.07989i | 0.153695 | − | 0.0243429i | −0.0791128 | − | 0.996866i | \(-0.525209\pi\) |
0.232808 | + | 0.972523i | \(0.425209\pi\) | |||||||
\(374\) | −239.859 | + | 361.213i | −0.641333 | + | 0.965810i | ||||
\(375\) | −109.501 | − | 358.657i | −0.292002 | − | 0.956418i | ||||
\(376\) | 354.244 | + | 67.2993i | 0.942139 | + | 0.178988i | ||||
\(377\) | 10.5034 | − | 1.66357i | 0.0278605 | − | 0.00441266i | ||||
\(378\) | 296.258 | + | 454.450i | 0.783752 | + | 1.20225i | ||||
\(379\) | −12.0451 | − | 37.0711i | −0.0317814 | − | 0.0978130i | 0.933908 | − | 0.357515i | \(-0.116376\pi\) |
−0.965689 | + | 0.259702i | \(0.916376\pi\) | |||||||
\(380\) | 328.689 | + | 434.945i | 0.864972 | + | 1.14459i | ||||
\(381\) | 253.722 | + | 76.4645i | 0.665938 | + | 0.200694i | ||||
\(382\) | −251.921 | + | 50.8621i | −0.659480 | + | 0.133147i | ||||
\(383\) | −193.099 | − | 378.978i | −0.504175 | − | 0.989499i | −0.993111 | − | 0.117179i | \(-0.962615\pi\) |
0.488936 | − | 0.872320i | \(-0.337385\pi\) | |||||||
\(384\) | −365.473 | − | 117.838i | −0.951752 | − | 0.306869i | ||||
\(385\) | −415.185 | − | 966.383i | −1.07840 | − | 2.51009i | ||||
\(386\) | −167.898 | + | 62.4888i | −0.434970 | + | 0.161888i | ||||
\(387\) | 45.5639 | − | 397.284i | 0.117736 | − | 1.02657i | ||||
\(388\) | 187.284 | − | 46.1010i | 0.482690 | − | 0.118817i | ||||
\(389\) | −315.882 | − | 229.502i | −0.812036 | − | 0.589979i | 0.102384 | − | 0.994745i | \(-0.467353\pi\) |
−0.914420 | + | 0.404766i | \(0.867353\pi\) | |||||||
\(390\) | 21.6162 | + | 21.6973i | 0.0554263 | + | 0.0556341i | ||||
\(391\) | 202.978 | + | 279.376i | 0.519126 | + | 0.714516i | ||||
\(392\) | 398.809 | − | 116.191i | 1.01737 | − | 0.296404i | ||||
\(393\) | −486.259 | + | 507.575i | −1.23730 | + | 1.29154i | ||||
\(394\) | 165.855 | + | 209.149i | 0.420952 | + | 0.530836i | ||||
\(395\) | 58.1343 | − | 36.6796i | 0.147176 | − | 0.0928598i | ||||
\(396\) | 548.734 | − | 516.851i | 1.38569 | − | 1.30518i | ||||
\(397\) | −194.431 | + | 381.592i | −0.489750 | + | 0.961189i | 0.505406 | + | 0.862882i | \(0.331343\pi\) |
−0.995156 | + | 0.0983072i | \(0.968657\pi\) | |||||||
\(398\) | 300.371 | + | 137.429i | 0.754701 | + | 0.345300i | ||||
\(399\) | −17.6164 | − | 821.339i | −0.0441513 | − | 2.05849i | ||||
\(400\) | −137.837 | − | 375.501i | −0.344593 | − | 0.938752i | ||||
\(401\) | 84.5627i | 0.210879i | 0.994426 | + | 0.105440i | \(0.0336250\pi\) | ||||
−0.994426 | + | 0.105440i | \(0.966375\pi\) | |||||||
\(402\) | −136.364 | + | 315.771i | −0.339215 | + | 0.785499i | ||||
\(403\) | 8.72477 | − | 17.1233i | 0.0216496 | − | 0.0424896i | ||||
\(404\) | 299.589 | − | 258.861i | 0.741556 | − | 0.640744i | ||||
\(405\) | −404.916 | + | 8.23120i | −0.999793 | + | 0.0203239i | ||||
\(406\) | 130.041 | + | 163.987i | 0.320298 | + | 0.403908i | ||||
\(407\) | 112.302 | + | 112.302i | 0.275926 | + | 0.275926i | ||||
\(408\) | 237.023 | − | 74.6050i | 0.580938 | − | 0.182855i | ||||
\(409\) | −74.8450 | − | 103.015i | −0.182995 | − | 0.251871i | 0.707658 | − | 0.706556i | \(-0.249752\pi\) |
−0.890653 | + | 0.454685i | \(0.849752\pi\) | |||||||
\(410\) | −466.296 | + | 224.053i | −1.13731 | + | 0.546472i | ||||
\(411\) | 83.9474 | − | 120.914i | 0.204252 | − | 0.294194i | ||||
\(412\) | −5.06301 | + | 1.24629i | −0.0122889 | + | 0.00302497i | ||||
\(413\) | 252.513 | + | 39.9942i | 0.611412 | + | 0.0968382i | ||||
\(414\) | −233.342 | − | 553.157i | −0.563628 | − | 1.33613i | ||||
\(415\) | −379.134 | + | 332.488i | −0.913576 | + | 0.801177i | ||||
\(416\) | 24.3053 | + | 21.8295i | 0.0584263 | + | 0.0524746i | ||||
\(417\) | −212.412 | − | 395.670i | −0.509380 | − | 0.948848i | ||||
\(418\) | −1118.98 | + | 225.919i | −2.67699 | + | 0.540475i | ||||
\(419\) | 439.396 | + | 142.768i | 1.04868 | + | 0.340736i | 0.782149 | − | 0.623091i | \(-0.214123\pi\) |
0.266528 | + | 0.963827i | \(0.414123\pi\) | |||||||
\(420\) | −163.036 | + | 580.297i | −0.388180 | + | 1.38166i | ||||
\(421\) | −215.636 | − | 663.659i | −0.512199 | − | 1.57639i | −0.788320 | − | 0.615265i | \(-0.789049\pi\) |
0.276121 | − | 0.961123i | \(-0.410951\pi\) | |||||||
\(422\) | −697.640 | + | 393.330i | −1.65317 | + | 0.932063i | ||||
\(423\) | 397.569 | − | 80.5788i | 0.939880 | − | 0.190494i | ||||
\(424\) | −105.633 | − | 20.0682i | −0.249135 | − | 0.0473306i | ||||
\(425\) | 213.316 | + | 146.611i | 0.501919 | + | 0.344967i | ||||
\(426\) | 170.208 | − | 268.651i | 0.399549 | − | 0.630636i | ||||
\(427\) | 315.518 | − | 49.9731i | 0.738918 | − | 0.117033i | ||||
\(428\) | 0.907807 | − | 12.4475i | 0.00212104 | − | 0.0290830i | ||||
\(429\) | −60.5541 | + | 21.1212i | −0.141152 | + | 0.0492335i | ||||
\(430\) | 365.454 | − | 252.714i | 0.849893 | − | 0.587706i | ||||
\(431\) | 98.2057 | − | 302.246i | 0.227855 | − | 0.701267i | −0.770134 | − | 0.637883i | \(-0.779811\pi\) |
0.997989 | − | 0.0633846i | \(-0.0201895\pi\) | |||||||
\(432\) | −430.759 | + | 32.7191i | −0.997128 | + | 0.0757386i | ||||
\(433\) | 63.1012 | + | 123.843i | 0.145730 | + | 0.286012i | 0.952321 | − | 0.305099i | \(-0.0986896\pi\) |
−0.806590 | + | 0.591111i | \(0.798690\pi\) | |||||||
\(434\) | 377.885 | − | 15.9331i | 0.870704 | − | 0.0367122i | ||||
\(435\) | −155.250 | + | 17.6292i | −0.356896 | + | 0.0405270i | ||||
\(436\) | 130.585 | − | 558.011i | 0.299507 | − | 1.27984i | ||||
\(437\) | −142.225 | + | 897.973i | −0.325458 | + | 2.05486i | ||||
\(438\) | −23.5511 | − | 20.7317i | −0.0537697 | − | 0.0473326i | ||||
\(439\) | −274.854 | − | 199.693i | −0.626091 | − | 0.454882i | 0.228953 | − | 0.973437i | \(-0.426470\pi\) |
−0.855044 | + | 0.518556i | \(0.826470\pi\) | |||||||
\(440\) | 833.711 | + | 80.3822i | 1.89480 | + | 0.182687i | ||||
\(441\) | 365.940 | − | 290.638i | 0.829796 | − | 0.659043i | ||||
\(442\) | −21.0008 | − | 2.42453i | −0.0475131 | − | 0.00548536i | ||||
\(443\) | 61.0084 | − | 61.0084i | 0.137716 | − | 0.137716i | −0.634888 | − | 0.772604i | \(-0.718954\pi\) |
0.772604 | + | 0.634888i | \(0.218954\pi\) | |||||||
\(444\) | −9.60459 | − | 90.5081i | −0.0216320 | − | 0.203847i | ||||
\(445\) | 172.606 | − | 432.635i | 0.387879 | − | 0.972213i | ||||
\(446\) | 19.7716 | − | 70.8824i | 0.0443308 | − | 0.158929i | ||||
\(447\) | 225.404 | + | 108.825i | 0.504259 | + | 0.243456i | ||||
\(448\) | −139.310 | + | 627.676i | −0.310960 | + | 1.40106i | ||||
\(449\) | 555.729 | 1.23770 | 0.618852 | − | 0.785508i | \(-0.287598\pi\) | ||||
0.618852 | + | 0.785508i | \(0.287598\pi\) | |||||||
\(450\) | −303.269 | − | 332.457i | −0.673931 | − | 0.738794i | ||||
\(451\) | − | 1083.26i | − | 2.40191i | ||||||
\(452\) | 317.466 | + | 511.448i | 0.702359 | + | 1.13152i | ||||
\(453\) | −146.687 | + | 303.826i | −0.323813 | + | 0.670697i | ||||
\(454\) | −119.793 | + | 429.465i | −0.263861 | + | 0.945959i | ||||
\(455\) | 32.7912 | − | 39.4267i | 0.0720685 | − | 0.0866520i | ||||
\(456\) | 580.141 | + | 302.364i | 1.27224 | + | 0.663080i | ||||
\(457\) | 379.227 | + | 379.227i | 0.829817 | + | 0.829817i | 0.987491 | − | 0.157674i | \(-0.0503995\pi\) |
−0.157674 | + | 0.987491i | \(0.550399\pi\) | |||||||
\(458\) | −581.553 | − | 67.1401i | −1.26977 | − | 0.146594i | ||||
\(459\) | 215.127 | − | 178.514i | 0.468687 | − | 0.388920i | ||||
\(460\) | 291.601 | − | 599.955i | 0.633916 | − | 1.30425i | ||||
\(461\) | −39.7469 | + | 54.7069i | −0.0862188 | + | 0.118670i | −0.849948 | − | 0.526867i | \(-0.823367\pi\) |
0.763729 | + | 0.645537i | \(0.223367\pi\) | |||||||
\(462\) | −947.384 | − | 833.966i | −2.05061 | − | 1.80512i | ||||
\(463\) | 267.730 | + | 42.4043i | 0.578251 | + | 0.0915860i | 0.438707 | − | 0.898630i | \(-0.355436\pi\) |
0.139544 | + | 0.990216i | \(0.455436\pi\) | |||||||
\(464\) | −164.302 | + | 27.9593i | −0.354099 | + | 0.0602571i | ||||
\(465\) | −139.136 | + | 245.705i | −0.299216 | + | 0.528399i | ||||
\(466\) | 79.1014 | − | 3.33522i | 0.169745 | − | 0.00715713i | ||||
\(467\) | −518.172 | + | 264.022i | −1.10958 | + | 0.565357i | −0.910034 | − | 0.414533i | \(-0.863945\pi\) |
−0.199541 | + | 0.979890i | \(0.563945\pi\) | |||||||
\(468\) | 34.5987 | + | 12.3975i | 0.0739289 | + | 0.0264905i | ||||
\(469\) | 547.716 | + | 177.964i | 1.16784 | + | 0.379454i | ||||
\(470\) | 358.369 | + | 273.359i | 0.762487 | + | 0.581615i | ||||
\(471\) | 155.112 | + | 444.704i | 0.329325 | + | 0.944169i | ||||
\(472\) | −124.661 | + | 160.962i | −0.264112 | + | 0.341021i | ||||
\(473\) | 145.544 | + | 918.927i | 0.307703 | + | 1.94276i | ||||
\(474\) | 44.1460 | − | 69.6787i | 0.0931350 | − | 0.147002i | ||||
\(475\) | 124.180 | + | 670.056i | 0.261433 | + | 1.41064i | ||||
\(476\) | −161.420 | − | 383.463i | −0.339117 | − | 0.805595i | ||||
\(477\) | −118.552 | + | 24.0280i | −0.248538 | + | 0.0503732i | ||||
\(478\) | 526.522 | − | 296.854i | 1.10151 | − | 0.621033i | ||||
\(479\) | −318.143 | + | 103.371i | −0.664182 | + | 0.215806i | −0.621657 | − | 0.783290i | \(-0.713540\pi\) |
−0.0425248 | + | 0.999095i | \(0.513540\pi\) | |||||||
\(480\) | −342.656 | − | 336.136i | −0.713866 | − | 0.700283i | ||||
\(481\) | −2.39281 | + | 7.36432i | −0.00497466 | + | 0.0153104i | ||||
\(482\) | 126.918 | − | 25.6243i | 0.263315 | − | 0.0531625i | ||||
\(483\) | −885.657 | + | 475.457i | −1.83366 | + | 0.984383i | ||||
\(484\) | −657.265 | + | 1086.50i | −1.35799 | + | 2.24484i | ||||
\(485\) | 235.148 | + | 53.2098i | 0.484841 | + | 0.109711i | ||||
\(486\) | −434.719 | + | 217.292i | −0.894483 | + | 0.447103i | ||||
\(487\) | 95.5051 | − | 602.996i | 0.196109 | − | 1.23818i | −0.671526 | − | 0.740981i | \(-0.734361\pi\) |
0.867635 | − | 0.497202i | \(-0.165639\pi\) | |||||||
\(488\) | −85.9907 | + | 239.414i | −0.176211 | + | 0.490602i | ||||
\(489\) | −358.413 | − | 248.838i | −0.732952 | − | 0.508870i | ||||
\(490\) | 510.812 | + | 93.1611i | 1.04247 | + | 0.190125i | ||||
\(491\) | −442.085 | + | 321.193i | −0.900376 | + | 0.654162i | −0.938563 | − | 0.345109i | \(-0.887842\pi\) |
0.0381862 | + | 0.999271i | \(0.487842\pi\) | |||||||
\(492\) | −390.197 | + | 482.842i | −0.793083 | + | 0.981387i | ||||
\(493\) | 76.2604 | − | 76.2604i | 0.154686 | − | 0.154686i | ||||
\(494\) | −34.5824 | − | 43.6096i | −0.0700048 | − | 0.0882786i | ||||
\(495\) | 902.498 | − | 270.885i | 1.82323 | − | 0.547242i | ||||
\(496\) | −133.648 | + | 269.913i | −0.269452 | + | 0.544179i | ||||
\(497\) | −474.456 | − | 241.748i | −0.954641 | − | 0.486414i | ||||
\(498\) | −239.907 | + | 555.539i | −0.481742 | + | 1.11554i | ||||
\(499\) | −277.627 | −0.556366 | −0.278183 | − | 0.960528i | \(-0.589732\pi\) | ||||
−0.278183 | + | 0.960528i | \(0.589732\pi\) | |||||||
\(500\) | 55.9263 | − | 496.862i | 0.111853 | − | 0.993725i | ||||
\(501\) | 582.206 | − | 12.4874i | 1.16209 | − | 0.0249249i | ||||
\(502\) | −675.409 | − | 309.021i | −1.34544 | − | 0.615581i | ||||
\(503\) | 436.652 | + | 222.486i | 0.868096 | + | 0.442317i | 0.830528 | − | 0.556977i | \(-0.188039\pi\) |
0.0375683 | + | 0.999294i | \(0.488039\pi\) | |||||||
\(504\) | 121.878 | + | 712.976i | 0.241822 | + | 1.41463i | ||||
\(505\) | 479.688 | − | 121.822i | 0.949876 | − | 0.241233i | ||||
\(506\) | 867.893 | + | 1094.44i | 1.71520 | + | 2.16293i | ||||
\(507\) | 363.850 | + | 348.570i | 0.717654 | + | 0.687515i | ||||
\(508\) | 269.983 | + | 227.921i | 0.531462 | + | 0.448663i | ||||
\(509\) | 650.474 | − | 472.597i | 1.27795 | − | 0.928482i | 0.278457 | − | 0.960449i | \(-0.410177\pi\) |
0.999489 | + | 0.0319670i | \(0.0101772\pi\) | |||||||
\(510\) | 306.693 | + | 49.1638i | 0.601359 | + | 0.0963996i | ||||
\(511\) | −30.8790 | + | 42.5013i | −0.0604285 | + | 0.0831727i | ||||
\(512\) | −384.821 | − | 337.723i | −0.751603 | − | 0.659616i | ||||
\(513\) | 732.821 | + | 68.1605i | 1.42850 | + | 0.132867i | ||||
\(514\) | 158.343 | − | 58.9324i | 0.308060 | − | 0.114654i | ||||
\(515\) | −6.35696 | − | 1.43847i | −0.0123436 | − | 0.00279314i | ||||
\(516\) | 266.129 | − | 462.019i | 0.515754 | − | 0.895385i | ||||
\(517\) | −840.926 | + | 428.473i | −1.62655 | + | 0.828768i | ||||
\(518\) | −149.379 | + | 30.1591i | −0.288376 | + | 0.0582222i | ||||
\(519\) | −88.5250 | + | 293.741i | −0.170568 | + | 0.565975i | ||||
\(520\) | 14.9619 | + | 37.9968i | 0.0287728 | + | 0.0730708i | ||||
\(521\) | 93.7899 | − | 30.4742i | 0.180019 | − | 0.0584917i | −0.217620 | − | 0.976033i | \(-0.569829\pi\) |
0.397639 | + | 0.917542i | \(0.369829\pi\) | |||||||
\(522\) | −159.228 | + | 99.0022i | −0.305035 | + | 0.189659i | ||||
\(523\) | −104.160 | − | 657.642i | −0.199159 | − | 1.25744i | −0.861313 | − | 0.508074i | \(-0.830358\pi\) |
0.662154 | − | 0.749368i | \(-0.269642\pi\) | |||||||
\(524\) | −863.798 | + | 363.618i | −1.64847 | + | 0.693927i | ||||
\(525\) | −506.812 | + | 557.528i | −0.965356 | + | 1.06196i | ||||
\(526\) | −171.210 | + | 257.832i | −0.325494 | + | 0.490174i | ||||
\(527\) | −30.4890 | − | 192.500i | −0.0578540 | − | 0.365276i | ||||
\(528\) | 945.158 | − | 341.886i | 1.79007 | − | 0.647511i | ||||
\(529\) | 554.888 | − | 180.294i | 1.04894 | − | 0.340820i | ||||
\(530\) | −106.863 | − | 81.5138i | −0.201628 | − | 0.153800i | ||||
\(531\) | −61.3721 | + | 220.664i | −0.115578 | + | 0.415562i | ||||
\(532\) | 413.367 | − | 1014.38i | 0.777005 | − | 1.90673i | ||||
\(533\) | 47.0585 | − | 23.9775i | 0.0882899 | − | 0.0449859i | ||||
\(534\) | −35.5166 | − | 557.825i | −0.0665105 | − | 1.04462i | ||||
\(535\) | 7.97661 | − | 13.4073i | 0.0149096 | − | 0.0250604i | ||||
\(536\) | −334.075 | + | 314.191i | −0.623275 | + | 0.586178i | ||||
\(537\) | −777.078 | − | 106.050i | −1.44707 | − | 0.197486i | ||||
\(538\) | −464.861 | + | 505.788i | −0.864054 | + | 0.940126i | ||||
\(539\) | −639.072 | + | 879.607i | −1.18566 | + | 1.63192i | ||||
\(540\) | −499.844 | − | 204.343i | −0.925637 | − | 0.378413i | ||||
\(541\) | −751.057 | + | 545.675i | −1.38827 | + | 1.00864i | −0.392223 | + | 0.919870i | \(0.628294\pi\) |
−0.996052 | + | 0.0887703i | \(0.971706\pi\) | |||||||
\(542\) | 396.445 | + | 45.7694i | 0.731449 | + | 0.0844455i | ||||
\(543\) | 312.449 | − | 326.146i | 0.575413 | − | 0.600637i | ||||
\(544\) | 329.544 | + | 34.2184i | 0.605780 | + | 0.0629015i | ||||
\(545\) | 458.071 | − | 550.764i | 0.840497 | − | 1.01058i | ||||
\(546\) | 15.2588 | − | 59.6152i | 0.0279465 | − | 0.109185i | ||||
\(547\) | 525.796 | + | 267.906i | 0.961235 | + | 0.489774i | 0.862897 | − | 0.505379i | \(-0.168647\pi\) |
0.0983378 | + | 0.995153i | \(0.468647\pi\) | |||||||
\(548\) | 166.752 | − | 103.506i | 0.304291 | − | 0.188880i | ||||
\(549\) | 12.2708 | + | 285.924i | 0.0223513 | + | 0.520808i | ||||
\(550\) | 887.046 | + | 556.145i | 1.61281 | + | 1.01117i | ||||
\(551\) | 283.940 | 0.515317 | ||||||||
\(552\) | 7.37859 | − | 800.445i | 0.0133670 | − | 1.45008i | ||||
\(553\) | −123.058 | − | 62.7010i | −0.222527 | − | 0.113383i | ||||
\(554\) | −27.0632 | + | 97.0233i | −0.0488505 | + | 0.175132i | ||||
\(555\) | 39.8834 | − | 106.551i | 0.0718619 | − | 0.191983i | ||||
\(556\) | −50.4036 | − | 596.649i | −0.0906540 | − | 1.07311i | ||||
\(557\) | 142.555 | − | 142.555i | 0.255934 | − | 0.255934i | −0.567464 | − | 0.823398i | \(-0.692075\pi\) |
0.823398 | + | 0.567464i | \(0.192075\pi\) | |||||||
\(558\) | −24.3923 | + | 337.959i | −0.0437138 | + | 0.605660i | ||||
\(559\) | −36.6980 | + | 26.6626i | −0.0656493 | + | 0.0476970i | ||||
\(560\) | −506.787 | + | 623.762i | −0.904977 | + | 1.11386i | ||||
\(561\) | −370.922 | + | 534.259i | −0.661181 | + | 0.952332i | ||||
\(562\) | 570.610 | + | 524.438i | 1.01532 | + | 0.933164i | ||||
\(563\) | 151.804 | − | 958.451i | 0.269634 | − | 1.70240i | −0.366169 | − | 0.930549i | \(-0.619331\pi\) |
0.635802 | − | 0.771852i | \(-0.280669\pi\) | |||||||
\(564\) | 529.164 | + | 111.923i | 0.938234 | + | 0.198444i | ||||
\(565\) | 68.8473 | + | 749.302i | 0.121854 | + | 1.32620i | ||||
\(566\) | 328.298 | − | 13.8423i | 0.580032 | − | 0.0244564i | ||||
\(567\) | 430.187 | + | 690.725i | 0.758707 | + | 1.21821i | ||||
\(568\) | 350.537 | − | 238.611i | 0.617143 | − | 0.420089i | ||||
\(569\) | 32.0236 | − | 98.5587i | 0.0562806 | − | 0.173214i | −0.918965 | − | 0.394340i | \(-0.870973\pi\) |
0.975245 | + | 0.221126i | \(0.0709733\pi\) | |||||||
\(570\) | 479.428 | + | 662.480i | 0.841102 | + | 1.16224i | ||||
\(571\) | −323.741 | + | 105.190i | −0.566972 | + | 0.184220i | −0.578456 | − | 0.815714i | \(-0.696344\pi\) |
0.0114841 | + | 0.999934i | \(0.496344\pi\) | |||||||
\(572\) | −85.2827 | − | 6.21973i | −0.149096 | − | 0.0108737i | ||||
\(573\) | −379.380 | + | 68.4575i | −0.662094 | + | 0.119472i | ||||
\(574\) | 865.909 | + | 574.995i | 1.50855 | + | 1.00173i | ||||
\(575\) | 661.529 | − | 507.598i | 1.15049 | − | 0.882780i | ||||
\(576\) | −544.434 | − | 188.062i | −0.945198 | − | 0.326497i | ||||
\(577\) | 26.4082 | + | 166.735i | 0.0457682 | + | 0.288969i | 0.999947 | − | 0.0102672i | \(-0.00326819\pi\) |
−0.954179 | + | 0.299236i | \(0.903268\pi\) | |||||||
\(578\) | 316.733 | − | 178.575i | 0.547981 | − | 0.308953i | ||||
\(579\) | −253.733 | + | 88.5018i | −0.438227 | + | 0.152853i | ||||
\(580\) | −199.310 | − | 60.6369i | −0.343638 | − | 0.104546i | ||||
\(581\) | 963.604 | + | 313.094i | 1.65853 | + | 0.538888i | ||||
\(582\) | 282.297 | − | 63.3237i | 0.485046 | − | 0.108804i | ||||
\(583\) | 250.758 | − | 127.768i | 0.430117 | − | 0.219156i | ||||
\(584\) | −17.8409 | − | 37.8398i | −0.0305494 | − | 0.0647942i | ||||
\(585\) | 31.7440 | + | 33.2099i | 0.0542632 | + | 0.0567691i | ||||
\(586\) | −200.811 | − | 539.551i | −0.342681 | − | 0.920735i | ||||
\(587\) | 354.368 | + | 56.1264i | 0.603694 | + | 0.0956157i | 0.450797 | − | 0.892626i | \(-0.351140\pi\) |
0.152897 | + | 0.988242i | \(0.451140\pi\) | |||||||
\(588\) | 601.692 | − | 161.870i | 1.02329 | − | 0.275289i | ||||
\(589\) | 301.608 | − | 415.127i | 0.512067 | − | 0.704800i | ||||
\(590\) | −229.382 | + | 110.217i | −0.388784 | + | 0.186809i | ||||
\(591\) | 242.238 | + | 318.805i | 0.409878 | + | 0.539433i | ||||
\(592\) | 36.1738 | − | 115.838i | 0.0611045 | − | 0.195673i | ||||
\(593\) | 591.714 | + | 591.714i | 0.997832 | + | 0.997832i | 0.999998 | − | 0.00216575i | \(-0.000689381\pi\) |
−0.00216575 | + | 0.999998i | \(0.500689\pi\) | |||||||
\(594\) | 838.967 | − | 758.078i | 1.41240 | − | 1.27623i | ||||
\(595\) | 34.0167 | − | 518.953i | 0.0571709 | − | 0.872190i | ||||
\(596\) | 218.194 | + | 252.524i | 0.366098 | + | 0.423698i | ||||
\(597\) | 446.195 | + | 215.423i | 0.747395 | + | 0.360843i | ||||
\(598\) | −28.3338 | + | 61.9275i | −0.0473810 | + | 0.103558i | ||||
\(599\) | 406.073i | 0.677919i | 0.940801 | + | 0.338959i | \(0.110075\pi\) | ||||
−0.940801 | + | 0.338959i | \(0.889925\pi\) | |||||||
\(600\) | −195.056 | − | 567.409i | −0.325094 | − | 0.945682i | ||||
\(601\) | −414.848 | −0.690264 | −0.345132 | − | 0.938554i | \(-0.612166\pi\) | ||||
−0.345132 | + | 0.938554i | \(0.612166\pi\) | |||||||
\(602\) | −811.801 | − | 371.425i | −1.34851 | − | 0.616985i | ||||
\(603\) | −214.304 | + | 469.322i | −0.355396 | + | 0.778312i | ||||
\(604\) | −340.382 | + | 294.108i | −0.563546 | + | 0.486934i | ||||
\(605\) | −1342.43 | + | 846.998i | −2.21889 | + | 1.40000i | ||||
\(606\) | 457.321 | − | 378.909i | 0.754656 | − | 0.625262i | ||||
\(607\) | −217.378 | + | 217.378i | −0.358118 | + | 0.358118i | −0.863119 | − | 0.505001i | \(-0.831492\pi\) |
0.505001 | + | 0.863119i | \(0.331492\pi\) | |||||||
\(608\) | 549.792 | + | 677.197i | 0.904263 | + | 1.11381i | ||||
\(609\) | 189.930 | + | 249.963i | 0.311872 | + | 0.410449i | ||||
\(610\) | −230.031 | + | 219.546i | −0.377099 | + | 0.359912i | ||||
\(611\) | −37.2270 | − | 27.0470i | −0.0609280 | − | 0.0442668i | ||||
\(612\) | 357.774 | − | 104.527i | 0.584598 | − | 0.170795i | ||||
\(613\) | −34.6086 | + | 218.510i | −0.0564578 | + | 0.356461i | 0.943245 | + | 0.332097i | \(0.107756\pi\) |
−0.999703 | + | 0.0243639i | \(0.992244\pi\) | |||||||
\(614\) | −486.216 | + | 180.961i | −0.791883 | + | 0.294725i | ||||
\(615\) | −706.249 | + | 321.535i | −1.14837 | + | 0.522821i | ||||
\(616\) | −717.679 | − | 1522.17i | −1.16506 | − | 2.47105i | ||||
\(617\) | −19.9122 | − | 39.0798i | −0.0322726 | − | 0.0633385i | 0.874307 | − | 0.485373i | \(-0.161316\pi\) |
−0.906580 | + | 0.422034i | \(0.861316\pi\) | |||||||
\(618\) | −7.63157 | + | 1.71189i | −0.0123488 | + | 0.00277004i | ||||
\(619\) | −233.771 | + | 719.473i | −0.377659 | + | 1.16231i | 0.564008 | + | 0.825769i | \(0.309259\pi\) |
−0.941667 | + | 0.336546i | \(0.890741\pi\) | |||||||
\(620\) | −300.365 | + | 226.987i | −0.484459 | + | 0.366108i | ||||
\(621\) | −332.769 | − | 836.801i | −0.535860 | − | 1.34751i | ||||
\(622\) | −525.104 | − | 931.364i | −0.844219 | − | 1.49737i | ||||
\(623\) | −924.362 | + | 146.405i | −1.48373 | + | 0.234999i | ||||
\(624\) | 35.7726 | + | 33.4916i | 0.0573280 | + | 0.0536724i | ||||
\(625\) | 340.410 | − | 524.162i | 0.544656 | − | 0.838659i | ||||
\(626\) | −151.912 | + | 228.771i | −0.242672 | + | 0.365449i | ||||
\(627\) | −1685.13 | + | 304.074i | −2.68760 | + | 0.484967i | ||||
\(628\) | −45.6771 | + | 626.309i | −0.0727343 | + | 0.997307i | ||||
\(629\) | 24.2668 | + | 74.6856i | 0.0385800 | + | 0.118737i | ||||
\(630\) | −262.513 | + | 865.199i | −0.416687 | + | 1.37333i | ||||
\(631\) | 134.165 | + | 43.5927i | 0.212622 | + | 0.0690852i | 0.413391 | − | 0.910553i | \(-0.364344\pi\) |
−0.200769 | + | 0.979639i | \(0.564344\pi\) | |||||||
\(632\) | 90.9172 | − | 61.8874i | 0.143856 | − | 0.0979231i | ||||
\(633\) | −1058.44 | + | 568.216i | −1.67211 | + | 0.897655i | ||||
\(634\) | −38.3619 | − | 909.829i | −0.0605078 | − | 1.43506i | ||||
\(635\) | 174.339 | + | 405.791i | 0.274550 | + | 0.639041i | ||||
\(636\) | −157.793 | − | 33.3745i | −0.248102 | − | 0.0524757i | ||||
\(637\) | −52.3570 | − | 8.29253i | −0.0821930 | − | 0.0130181i | ||||
\(638\) | 295.194 | − | 321.182i | 0.462686 | − | 0.503421i | ||||
\(639\) | 263.595 | − | 397.607i | 0.412512 | − | 0.622233i | ||||
\(640\) | −241.305 | − | 592.766i | −0.377039 | − | 0.926198i | ||||
\(641\) | −564.188 | − | 776.538i | −0.880168 | − | 1.21145i | −0.976374 | − | 0.216086i | \(-0.930671\pi\) |
0.0962067 | − | 0.995361i | \(-0.469329\pi\) | |||||||
\(642\) | 1.74777 | − | 18.6391i | 0.00272239 | − | 0.0290329i | ||||
\(643\) | 492.661 | + | 492.661i | 0.766191 | + | 0.766191i | 0.977434 | − | 0.211243i | \(-0.0677511\pi\) |
−0.211243 | + | 0.977434i | \(0.567751\pi\) | |||||||
\(644\) | −1335.52 | + | 112.822i | −2.07379 | + | 0.175190i | ||||
\(645\) | 555.907 | − | 367.646i | 0.861872 | − | 0.569994i | ||||
\(646\) | −543.697 | − | 151.656i | −0.841636 | − | 0.234761i | ||||
\(647\) | −98.2851 | + | 192.895i | −0.151909 | + | 0.298138i | −0.954403 | − | 0.298523i | \(-0.903506\pi\) |
0.802494 | + | 0.596661i | \(0.203506\pi\) | |||||||
\(648\) | −647.016 | + | 35.6980i | −0.998481 | + | 0.0550895i | ||||
\(649\) | − | 532.883i | − | 0.821084i | ||||||
\(650\) | −4.52542 | + | 50.8446i | −0.00696219 | + | 0.0782224i | ||||
\(651\) | 567.201 | − | 12.1655i | 0.871277 | − | 0.0186875i | ||||
\(652\) | −306.814 | − | 494.286i | −0.470574 | − | 0.758108i | ||||
\(653\) | 362.153 | − | 710.764i | 0.554598 | − | 1.08846i | −0.428184 | − | 0.903692i | \(-0.640847\pi\) |
0.982782 | − | 0.184768i | \(-0.0591535\pi\) | |||||||
\(654\) | 213.155 | − | 832.784i | 0.325925 | − | 1.27337i | ||||
\(655\) | −1169.01 | − | 76.6267i | −1.78474 | − | 0.116987i | ||||
\(656\) | −733.153 | + | 384.221i | −1.11761 | + | 0.585702i | ||||
\(657\) | −34.6757 | − | 31.8218i | −0.0527788 | − | 0.0484350i | ||||
\(658\) | 103.862 | − | 899.630i | 0.157845 | − | 1.36722i | ||||
\(659\) | −269.395 | − | 370.791i | −0.408794 | − | 0.562657i | 0.554130 | − | 0.832430i | \(-0.313051\pi\) |
−0.962924 | + | 0.269773i | \(0.913051\pi\) | |||||||
\(660\) | 1247.80 | + | 146.425i | 1.89061 | + | 0.221856i | ||||
\(661\) | 906.305 | + | 658.469i | 1.37111 | + | 0.996171i | 0.997649 | + | 0.0685262i | \(0.0218297\pi\) |
0.373463 | + | 0.927645i | \(0.378170\pi\) | |||||||
\(662\) | 512.375 | + | 470.916i | 0.773980 | + | 0.711353i | ||||
\(663\) | −31.4192 | − | 4.28785i | −0.0473894 | − | 0.00646734i | ||||
\(664\) | −587.743 | + | 552.760i | −0.885155 | + | 0.832471i | ||||
\(665\) | 1029.43 | − | 902.780i | 1.54802 | − | 1.35756i | ||||
\(666\) | −11.5946 | − | 136.031i | −0.0174093 | − | 0.204251i | ||||
\(667\) | −157.728 | − | 309.558i | −0.236473 | − | 0.464104i | ||||
\(668\) | 719.042 | + | 293.015i | 1.07641 | + | 0.438645i | ||||
\(669\) | 31.8511 | − | 105.687i | 0.0476100 | − | 0.157978i | ||||
\(670\) | −549.186 | + | 164.388i | −0.819680 | + | 0.245356i | ||||
\(671\) | −205.757 | − | 633.254i | −0.306642 | − | 0.943747i | ||||
\(672\) | −228.402 | + | 936.988i | −0.339884 | + | 1.39433i | ||||
\(673\) | 846.106 | − | 134.010i | 1.25721 | − | 0.199123i | 0.507946 | − | 0.861389i | \(-0.330405\pi\) |
0.749269 | + | 0.662266i | \(0.230405\pi\) | |||||||
\(674\) | −401.049 | − | 266.311i | −0.595029 | − | 0.395121i | ||||
\(675\) | −444.487 | − | 507.992i | −0.658500 | − | 0.752581i | ||||
\(676\) | 260.656 | + | 619.205i | 0.385586 | + | 0.915984i | ||||
\(677\) | 299.309 | − | 47.4059i | 0.442111 | − | 0.0700235i | 0.0685893 | − | 0.997645i | \(-0.478150\pi\) |
0.373522 | + | 0.927621i | \(0.378150\pi\) | |||||||
\(678\) | 460.223 | + | 776.861i | 0.678795 | + | 1.14581i | ||||
\(679\) | −149.690 | − | 460.700i | −0.220457 | − | 0.678497i | ||||
\(680\) | 349.258 | + | 222.563i | 0.513615 | + | 0.327299i | ||||
\(681\) | −192.981 | + | 640.342i | −0.283378 | + | 0.940297i | ||||
\(682\) | −156.015 | − | 772.748i | −0.228761 | − | 1.13306i | ||||
\(683\) | 75.7630 | + | 148.693i | 0.110927 | + | 0.217706i | 0.939796 | − | 0.341737i | \(-0.111015\pi\) |
−0.828869 | + | 0.559443i | \(0.811015\pi\) | |||||||
\(684\) | 860.640 | + | 471.456i | 1.25825 | + | 0.689264i | ||||
\(685\) | 244.301 | − | 22.4469i | 0.356644 | − | 0.0327691i | ||||
\(686\) | −20.4907 | − | 55.0556i | −0.0298699 | − | 0.0802560i | ||||
\(687\) | −870.059 | − | 118.739i | −1.26646 | − | 0.172837i | ||||
\(688\) | 570.307 | − | 424.437i | 0.828935 | − | 0.616914i | ||||
\(689\) | 11.1008 | + | 8.06522i | 0.0161115 | + | 0.0117057i | ||||
\(690\) | 455.930 | − | 890.689i | 0.660768 | − | 1.29085i | ||||
\(691\) | 80.8673 | + | 111.304i | 0.117029 | + | 0.161077i | 0.863513 | − | 0.504327i | \(-0.168259\pi\) |
−0.746483 | + | 0.665404i | \(0.768259\pi\) | |||||||
\(692\) | −263.870 | + | 312.566i | −0.381315 | + | 0.451685i | ||||
\(693\) | −1394.89 | − | 1280.09i | −2.01282 | − | 1.84717i | ||||
\(694\) | 672.091 | − | 532.967i | 0.968430 | − | 0.767964i | ||||
\(695\) | 277.354 | − | 695.182i | 0.399070 | − | 1.00026i | ||||
\(696\) | −247.268 | + | 36.8303i | −0.355270 | + | 0.0529171i | ||||
\(697\) | 243.169 | − | 477.246i | 0.348880 | − | 0.684715i | ||||
\(698\) | −126.878 | + | 277.308i | −0.181773 | + | 0.397290i | ||||
\(699\) | 118.730 | − | 2.54657i | 0.169857 | − | 0.00364316i | ||||
\(700\) | −915.400 | + | 413.861i | −1.30771 | + | 0.591230i | ||||
\(701\) | − | 834.386i | − | 1.19028i | −0.803622 | − | 0.595140i | \(-0.797097\pi\) | ||
0.803622 | − | 0.595140i | \(-0.202903\pi\) | |||||||
\(702\) | 51.5021 | + | 19.6662i | 0.0733649 | + | 0.0280146i | ||||
\(703\) | −93.8619 | + | 184.214i | −0.133516 | + | 0.262040i | ||||
\(704\) | 1337.60 | + | 82.1327i | 1.90001 | + | 0.116666i | ||||
\(705\) | 528.954 | + | 421.074i | 0.750289 | + | 0.597268i | ||||
\(706\) | 790.721 | − | 627.041i | 1.12000 | − | 0.888160i | ||||
\(707\) | −703.141 | − | 703.141i | −0.994542 | − | 0.994542i | ||||
\(708\) | −191.947 | + | 237.522i | −0.271112 | + | 0.335483i | ||||
\(709\) | −175.502 | − | 241.557i | −0.247534 | − | 0.340701i | 0.667112 | − | 0.744958i | \(-0.267530\pi\) |
−0.914646 | + | 0.404256i | \(0.867530\pi\) | |||||||
\(710\) | 525.317 | − | 70.6904i | 0.739883 | − | 0.0995640i | ||||
\(711\) | 68.3675 | − | 103.125i | 0.0961569 | − | 0.145043i | ||||
\(712\) | 251.924 | − | 701.403i | 0.353826 | − | 0.985117i | ||||
\(713\) | −620.123 | − | 98.2179i | −0.869738 | − | 0.137753i | ||||
\(714\) | −230.176 | − | 580.082i | −0.322375 | − | 0.812440i | ||||
\(715\) | −91.8586 | − | 54.6508i | −0.128474 | − | 0.0764347i | ||||
\(716\) | −894.734 | − | 541.256i | −1.24963 | − | 0.755944i | ||||
\(717\) | 798.828 | − | 428.843i | 1.11413 | − | 0.598108i | ||||
\(718\) | −160.396 | − | 794.446i | −0.223393 | − | 1.10647i | ||||
\(719\) | 22.7302 | + | 7.38548i | 0.0316136 | + | 0.0102719i | 0.324781 | − | 0.945789i | \(-0.394709\pi\) |
−0.293168 | + | 0.956061i | \(0.594709\pi\) | |||||||
\(720\) | −503.440 | − | 514.731i | −0.699222 | − | 0.714904i | ||||
\(721\) | 4.04671 | + | 12.4545i | 0.00561263 | + | 0.0172739i | ||||
\(722\) | −375.251 | − | 665.573i | −0.519738 | − | 0.921846i | ||||
\(723\) | 191.132 | − | 34.4889i | 0.264359 | − | 0.0477025i | ||||
\(724\) | 555.040 | − | 233.645i | 0.766629 | − | 0.322714i | ||||
\(725\) | −188.895 | − | 179.258i | −0.260544 | − | 0.247252i | ||||
\(726\) | −1019.41 | + | 1609.01i | −1.40415 | + | 2.21626i | ||||
\(727\) | −247.863 | + | 39.2576i | −0.340939 | + | 0.0539995i | −0.324556 | − | 0.945866i | \(-0.605215\pi\) |
−0.0163828 | + | 0.999866i | \(0.505215\pi\) | |||||||
\(728\) | 50.2398 | − | 64.8695i | 0.0690107 | − | 0.0891065i | ||||
\(729\) | −658.683 | + | 312.375i | −0.903543 | + | 0.428498i | ||||
\(730\) | 1.21917 | − | 52.2792i | 0.00167009 | − | 0.0716154i | ||||
\(731\) | −142.158 | + | 437.517i | −0.194470 | + | 0.598518i | ||||
\(732\) | −136.390 | + | 356.375i | −0.186324 | + | 0.486851i | ||||
\(733\) | 485.002 | + | 951.870i | 0.661667 | + | 1.29859i | 0.941002 | + | 0.338401i | \(0.109886\pi\) |
−0.279335 | + | 0.960194i | \(0.590114\pi\) | |||||||
\(734\) | −29.1815 | − | 692.097i | −0.0397568 | − | 0.942912i | ||||
\(735\) | 763.162 | + | 155.567i | 1.03832 | + | 0.211655i | ||||
\(736\) | 432.888 | − | 975.577i | 0.588164 | − | 1.32551i | ||||
\(737\) | 187.780 | − | 1185.60i | 0.254790 | − | 1.60868i | ||||
\(738\) | −600.157 | + | 711.998i | −0.813220 | + | 0.964766i | ||||
\(739\) | 276.451 | + | 200.854i | 0.374088 | + | 0.271791i | 0.758904 | − | 0.651202i | \(-0.225735\pi\) |
−0.384816 | + | 0.922993i | \(0.625735\pi\) | |||||||
\(740\) | 105.226 | − | 109.264i | 0.142197 | − | 0.147654i | ||||
\(741\) | −50.5089 | − | 66.4738i | −0.0681631 | − | 0.0897082i | ||||
\(742\) | −30.9709 | + | 268.263i | −0.0417397 | + | 0.361541i | ||||
\(743\) | 191.970 | − | 191.970i | 0.258371 | − | 0.258371i | −0.566020 | − | 0.824391i | \(-0.691518\pi\) |
0.824391 | + | 0.566020i | \(0.191518\pi\) | |||||||
\(744\) | −208.807 | + | 400.634i | −0.280655 | + | 0.538487i | ||||
\(745\) | 102.685 | + | 404.330i | 0.137832 | + | 0.542725i | ||||
\(746\) | 111.817 | + | 31.1896i | 0.149889 | + | 0.0418092i | ||||
\(747\) | −377.027 | + | 825.684i | −0.504722 | + | 1.10533i | ||||
\(748\) | −736.793 | + | 457.344i | −0.985018 | + | 0.611422i | ||||
\(749\) | −31.3452 | −0.0418495 | ||||||||
\(750\) | 99.2934 | − | 743.398i | 0.132391 | − | 0.991198i | ||||
\(751\) | 1113.53i | 1.48274i | 0.671099 | + | 0.741368i | \(0.265823\pi\) | ||||
−0.671099 | + | 0.741368i | \(0.734177\pi\) | |||||||
\(752\) | 588.258 | + | 417.165i | 0.782257 | + | 0.554740i | ||||
\(753\) | −1003.31 | − | 484.397i | −1.33241 | − | 0.643289i | ||||
\(754\) | 20.4866 | + | 5.71442i | 0.0271706 | + | 0.00757880i | ||||
\(755\) | −545.004 | + | 138.410i | −0.721859 | + | 0.183325i | ||||
\(756\) | 160.649 | + | 1073.02i | 0.212499 | + | 1.41934i | ||||
\(757\) | 407.816 | + | 407.816i | 0.538726 | + | 0.538726i | 0.923155 | − | 0.384428i | \(-0.125601\pi\) |
−0.384428 | + | 0.923155i | \(0.625601\pi\) | |||||||
\(758\) | 8.94081 | − | 77.4434i | 0.0117953 | − | 0.102168i | ||||
\(759\) | 1267.59 | + | 1668.25i | 1.67008 | + | 2.19796i | ||||
\(760\) | 235.861 | + | 1064.53i | 0.310344 | + | 1.40070i | ||||
\(761\) | −563.995 | + | 776.273i | −0.741124 | + | 1.02007i | 0.257429 | + | 0.966297i | \(0.417125\pi\) |
−0.998553 | + | 0.0537724i | \(0.982875\pi\) | |||||||
\(762\) | 397.813 | + | 350.188i | 0.522065 | + | 0.459564i | ||||
\(763\) | −1421.60 | − | 225.159i | −1.86317 | − | 0.295097i | ||||
\(764\) | −500.487 | − | 117.123i | −0.655088 | − | 0.153303i | ||||
\(765\) | 458.415 | + | 83.2492i | 0.599235 | + | 0.108822i | ||||
\(766\) | −35.8359 | − | 849.919i | −0.0467831 | − | 1.10955i | ||||
\(767\) | 23.1492 | − | 11.7951i | 0.0301815 | − | 0.0153782i | ||||
\(768\) | −566.625 | − | 518.421i | −0.737793 | − | 0.675027i | ||||
\(769\) | 55.8332 | + | 18.1413i | 0.0726050 | + | 0.0235908i | 0.345094 | − | 0.938568i | \(-0.387847\pi\) |
−0.272489 | + | 0.962159i | \(0.587847\pi\) | |||||||
\(770\) | 49.0431 | − | 2103.02i | 0.0636923 | − | 2.73119i | ||||
\(771\) | 239.292 | − | 83.4649i | 0.310366 | − | 0.108255i | ||||
\(772\) | −357.351 | − | 26.0619i | −0.462890 | − | 0.0337589i | ||||
\(773\) | −90.1506 | − | 569.189i | −0.116624 | − | 0.736337i | −0.974816 | − | 0.223009i | \(-0.928412\pi\) |
0.858192 | − | 0.513329i | \(-0.171588\pi\) | |||||||
\(774\) | 413.448 | − | 684.619i | 0.534171 | − | 0.884521i | ||||
\(775\) | −462.728 | + | 85.7567i | −0.597069 | + | 0.110654i | ||||
\(776\) | 378.971 | + | 71.9968i | 0.488364 | + | 0.0927794i | ||||
\(777\) | −224.956 | + | 40.5924i | −0.289519 | + | 0.0522425i | ||||
\(778\) | −383.519 | − | 680.237i | −0.492955 | − | 0.874341i | ||||
\(779\) | 1341.16 | − | 435.769i | 1.72164 | − | 0.559395i | ||||
\(780\) | 21.2586 | + | 57.4474i | 0.0272547 | + | 0.0736506i | ||||
\(781\) | −342.978 | + | 1055.58i | −0.439152 | + | 1.35157i | ||||
\(782\) | 136.683 | + | 676.995i | 0.174786 | + | 0.865722i | ||||
\(783\) | −241.864 | + | 143.529i | −0.308894 | + | 0.183307i | ||||
\(784\) | 821.990 | + | 120.538i | 1.04846 | + | 0.153747i | ||||
\(785\) | −401.351 | + | 674.602i | −0.511275 | + | 0.859366i | ||||
\(786\) | −1306.71 | + | 518.499i | −1.66248 | + | 0.659668i | ||||
\(787\) | 232.534 | − | 1468.16i | 0.295469 | − | 1.86552i | −0.177057 | − | 0.984201i | \(-0.556658\pi\) |
0.472526 | − | 0.881317i | \(-0.343342\pi\) | |||||||
\(788\) | 127.604 | + | 518.385i | 0.161933 | + | 0.657849i | ||||
\(789\) | −264.762 | + | 381.351i | −0.335567 | + | 0.483334i | ||||
\(790\) | 136.249 | − | 18.3346i | 0.172467 | − | 0.0232084i | ||||
\(791\) | 1223.11 | − | 888.644i | 1.54629 | − | 1.12344i | ||||
\(792\) | 1428.05 | − | 483.383i | 1.80309 | − | 0.610332i | ||||
\(793\) | 22.9552 | − | 22.9552i | 0.0289472 | − | 0.0289472i | ||||
\(794\) | −671.132 | + | 532.207i | −0.845255 | + | 0.670286i | ||||
\(795\) | −157.730 | − | 125.561i | −0.198403 | − | 0.157939i | ||||
\(796\) | 431.924 | + | 499.881i | 0.542618 | + | 0.627991i | ||||
\(797\) | 790.957 | + | 403.013i | 0.992417 | + | 0.505662i | 0.873281 | − | 0.487216i | \(-0.161988\pi\) |
0.119136 | + | 0.992878i | \(0.461988\pi\) | |||||||
\(798\) | 651.402 | − | 1508.41i | 0.816293 | − | 1.89024i | ||||
\(799\) | −466.664 | −0.584060 | ||||||||
\(800\) | 61.7745 | − | 797.611i | 0.0772182 | − | 0.997014i | ||||
\(801\) | −35.9495 | − | 837.661i | −0.0448807 | − | 1.04577i | ||||
\(802\) | −70.3650 | + | 153.793i | −0.0877369 | + | 0.191761i | ||||
\(803\) | 97.5647 | + | 49.7117i | 0.121500 | + | 0.0619075i | ||||
\(804\) | −510.757 | + | 460.817i | −0.635270 | + | 0.573155i | ||||
\(805\) | −1556.08 | − | 620.822i | −1.93302 | − | 0.771207i | ||||
\(806\) | 30.1160 | − | 23.8819i | 0.0373647 | − | 0.0296302i | ||||
\(807\) | −712.841 | + | 744.090i | −0.883323 | + | 0.922045i | ||||
\(808\) | 760.255 | − | 221.496i | 0.940910 | − | 0.274128i | ||||
\(809\) | −1054.69 | + | 766.274i | −1.30369 | + | 0.947187i | −0.999984 | − | 0.00557825i | \(-0.998224\pi\) |
−0.303707 | + | 0.952765i | \(0.598224\pi\) | |||||||
\(810\) | −743.263 | − | 321.963i | −0.917609 | − | 0.397485i | ||||
\(811\) | 110.918 | − | 152.665i | 0.136766 | − | 0.188243i | −0.735140 | − | 0.677915i | \(-0.762884\pi\) |
0.871906 | + | 0.489672i | \(0.162884\pi\) | |||||||
\(812\) | 100.049 | + | 406.447i | 0.123214 | + | 0.500551i | ||||
\(813\) | 593.120 | + | 80.9445i | 0.729545 | + | 0.0995628i | ||||
\(814\) | 110.795 | + | 297.689i | 0.136111 | + | 0.365711i | ||||
\(815\) | −66.5372 | − | 724.160i | −0.0816407 | − | 0.888539i | ||||
\(816\) | 493.148 | + | 61.5452i | 0.604348 | + | 0.0754230i | ||||
\(817\) | −1079.15 | + | 549.854i | −1.32087 | + | 0.673016i | ||||
\(818\) | −50.3996 | − | 249.631i | −0.0616132 | − | 0.305172i | ||||
\(819\) | 24.7336 | − | 88.9300i | 0.0301998 | − | 0.108584i | ||||
\(820\) | −1034.48 | + | 19.4741i | −1.26156 | + | 0.0237489i | ||||
\(821\) | 1090.00 | − | 354.162i | 1.32765 | − | 0.431379i | 0.442533 | − | 0.896752i | \(-0.354080\pi\) |
0.885115 | + | 0.465373i | \(0.154080\pi\) | |||||||
\(822\) | 253.286 | − | 150.050i | 0.308134 | − | 0.182543i | ||||
\(823\) | 86.9657 | + | 549.080i | 0.105669 | + | 0.667168i | 0.982485 | + | 0.186342i | \(0.0596633\pi\) |
−0.876816 | + | 0.480826i | \(0.840337\pi\) | |||||||
\(824\) | −10.2450 | − | 1.94635i | −0.0124333 | − | 0.00236208i | ||||
\(825\) | 1313.02 | + | 861.572i | 1.59154 | + | 1.04433i | ||||
\(826\) | 425.962 | + | 282.854i | 0.515692 | + | 0.342438i | ||||
\(827\) | 183.316 | + | 1157.41i | 0.221664 | + | 1.39953i | 0.807867 | + | 0.589365i | \(0.200622\pi\) |
−0.586203 | + | 0.810164i | \(0.699378\pi\) | |||||||
\(828\) | 35.9102 | − | 1200.18i | 0.0433698 | − | 1.44950i | ||||
\(829\) | 417.144 | − | 135.538i | 0.503190 | − | 0.163496i | −0.0464131 | − | 0.998922i | \(-0.514779\pi\) |
0.549603 | + | 0.835426i | \(0.314779\pi\) | |||||||
\(830\) | −966.189 | + | 289.211i | −1.16408 | + | 0.348447i | ||||
\(831\) | −43.5975 | + | 144.664i | −0.0524639 | + | 0.174084i | ||||
\(832\) | 26.0393 | + | 59.9254i | 0.0312972 | + | 0.0720257i | ||||
\(833\) | −479.004 | + | 244.065i | −0.575035 | + | 0.292995i | ||||
\(834\) | −57.0702 | − | 896.346i | −0.0684295 | − | 1.07476i | ||||
\(835\) | 639.935 | + | 729.713i | 0.766389 | + | 0.873908i | ||||
\(836\) | −2223.06 | − | 520.237i | −2.65916 | − | 0.622293i | ||||
\(837\) | −47.0704 | + | 506.072i | −0.0562370 | + | 0.604626i | ||||
\(838\) | 680.323 | + | 625.274i | 0.811841 | + | 0.746150i | ||||
\(839\) | −174.192 | + | 239.755i | −0.207619 | + | 0.285763i | −0.900109 | − | 0.435664i | \(-0.856513\pi\) |
0.692490 | + | 0.721427i | \(0.256513\pi\) | |||||||
\(840\) | −779.378 | + | 919.713i | −0.927831 | + | 1.09490i | ||||
\(841\) | 592.602 | − | 430.551i | 0.704640 | − | 0.511951i | ||||
\(842\) | 160.061 | − | 1386.42i | 0.190096 | − | 1.64658i | ||||
\(843\) | 839.453 | + | 804.200i | 0.995793 | + | 0.953973i | ||||
\(844\) | −1596.08 | + | 134.833i | −1.89109 | + | 0.159755i | ||||
\(845\) | −54.9291 | + | 837.990i | −0.0650049 | + | 0.991705i | ||||
\(846\) | 790.102 | + | 184.272i | 0.933927 | + | 0.217816i | ||||
\(847\) | 2841.62 | + | 1447.88i | 3.35492 | + | 1.70942i | ||||
\(848\) | −175.414 | − | 124.396i | −0.206856 | − | 0.146693i | ||||
\(849\) | 492.771 | − | 10.5691i | 0.580414 | − | 0.0124489i | ||||
\(850\) | 265.957 | + | 444.140i | 0.312891 | + | 0.522518i | ||||
\(851\) | 252.975 | 0.297268 | ||||||||
\(852\) | 533.099 | − | 346.959i | 0.625703 | − | 0.407229i | ||||
\(853\) | −361.872 | − | 184.383i | −0.424235 | − | 0.216158i | 0.228820 | − | 0.973469i | \(-0.426513\pi\) |
−0.653055 | + | 0.757310i | \(0.726513\pi\) | |||||||
\(854\) | 615.409 | + | 171.659i | 0.720620 | + | 0.201006i | ||||
\(855\) | 698.426 | + | 1008.39i | 0.816873 | + | 1.17940i | ||||
\(856\) | 12.0087 | − | 21.8827i | 0.0140288 | − | 0.0255639i | ||||
\(857\) | −341.887 | + | 341.887i | −0.398935 | + | 0.398935i | −0.877857 | − | 0.478922i | \(-0.841027\pi\) |
0.478922 | + | 0.877857i | \(0.341027\pi\) | |||||||
\(858\) | −127.704 | − | 11.9746i | −0.148839 | − | 0.0139565i | ||||
\(859\) | −916.441 | + | 665.834i | −1.06687 | + | 0.775126i | −0.975347 | − | 0.220677i | \(-0.929173\pi\) |
−0.0915229 | + | 0.995803i | \(0.529173\pi\) | |||||||
\(860\) | 874.928 | − | 155.509i | 1.01736 | − | 0.180825i | ||||
\(861\) | 1280.74 | + | 889.185i | 1.48750 | + | 1.03274i | ||||
\(862\) | 430.105 | − | 467.972i | 0.498962 | − | 0.542891i | ||||
\(863\) | 85.4187 | − | 539.312i | 0.0989787 | − | 0.624927i | −0.887471 | − | 0.460864i | \(-0.847540\pi\) |
0.986450 | − | 0.164064i | \(-0.0524602\pi\) | |||||||
\(864\) | −810.639 | − | 298.931i | −0.938240 | − | 0.345985i | ||||
\(865\) | −469.795 | + | 201.837i | −0.543116 | + | 0.233338i | ||||
\(866\) | 11.7105 | + | 277.738i | 0.0135225 | + | 0.320713i | ||||
\(867\) | 480.540 | − | 257.974i | 0.554257 | − | 0.297547i | ||||
\(868\) | 700.511 | + | 285.463i | 0.807041 | + | 0.328875i | ||||
\(869\) | −88.9565 | + | 273.780i | −0.102367 | + | 0.315052i | ||||
\(870\) | −297.019 | − | 97.1221i | −0.341401 | − | 0.111635i | ||||
\(871\) | 55.6605 | − | 18.0852i | 0.0639041 | − | 0.0207637i | ||||
\(872\) | 701.816 | − | 906.184i | 0.804835 | − | 1.03920i | ||||
\(873\) | 425.320 | − | 86.2032i | 0.487193 | − | 0.0987436i | ||||
\(874\) | −1005.87 | + | 1514.78i | −1.15088 | + | 1.73316i | ||||
\(875\) | −1254.79 | − | 49.3203i | −1.43405 | − | 0.0563660i | ||||
\(876\) | −25.5811 | − | 57.3013i | −0.0292022 | − | 0.0654124i | ||||
\(877\) | 93.7868 | + | 592.146i | 0.106940 | + | 0.675195i | 0.981671 | + | 0.190585i | \(0.0610386\pi\) |
−0.874730 | + | 0.484610i | \(0.838961\pi\) | |||||||
\(878\) | −333.706 | − | 591.885i | −0.380075 | − | 0.674129i | ||||
\(879\) | −284.406 | − | 815.386i | −0.323556 | − | 0.927629i | ||||
\(880\) | 1449.37 | + | 839.925i | 1.64701 | + | 0.954460i | ||||
\(881\) | −213.271 | − | 69.2960i | −0.242079 | − | 0.0786561i | 0.185465 | − | 0.982651i | \(-0.440621\pi\) |
−0.427543 | + | 0.903995i | \(0.640621\pi\) | |||||||
\(882\) | 907.369 | − | 224.077i | 1.02876 | − | 0.254056i | ||||
\(883\) | 1366.75 | − | 696.391i | 1.54784 | − | 0.788665i | 0.548957 | − | 0.835851i | \(-0.315025\pi\) |
0.998886 | + | 0.0471854i | \(0.0150252\pi\) | |||||||
\(884\) | −36.1762 | − | 21.8843i | −0.0409233 | − | 0.0247560i | ||||
\(885\) | −347.421 | + | 158.171i | −0.392566 | + | 0.178724i | ||||
\(886\) | 161.720 | − | 60.1894i | 0.182528 | − | 0.0679339i | ||||
\(887\) | −347.556 | − | 55.0474i | −0.391833 | − | 0.0620602i | −0.0425904 | − | 0.999093i | \(-0.513561\pi\) |
−0.349242 | + | 0.937032i | \(0.613561\pi\) | |||||||
\(888\) | 57.8446 | − | 172.597i | 0.0651403 | − | 0.194367i | ||||
\(889\) | 521.591 | − | 717.908i | 0.586717 | − | 0.807546i | ||||
\(890\) | 673.913 | − | 643.198i | 0.757206 | − | 0.722694i | ||||
\(891\) | 1281.71 | − | 1110.83i | 1.43851 | − | 1.24673i | ||||
\(892\) | 94.9398 | − | 112.461i | 0.106435 | − | 0.126077i | ||||
\(893\) | −868.764 | − | 868.764i | −0.972860 | − | 0.972860i | ||||
\(894\) | 319.383 | + | 385.477i | 0.357252 | + | 0.431183i | ||||
\(895\) | −697.501 | − | 1105.48i | −0.779331 | − | 1.23518i | ||||
\(896\) | −775.652 | + | 1025.62i | −0.865683 | + | 1.14467i | ||||
\(897\) | −44.4138 | + | 91.9919i | −0.0495137 | + | 0.102555i | ||||
\(898\) | 1010.69 | + | 462.425i | 1.12549 | + | 0.514950i | ||||
\(899\) | 196.083i | 0.218113i | ||||||||
\(900\) | −274.910 | − | 856.986i | −0.305456 | − | 0.952206i | ||||
\(901\) | 139.156 | 0.154446 | ||||||||
\(902\) | 901.389 | − | 1970.11i | 0.999322 | − | 2.18416i | ||||
\(903\) | −1205.91 | − | 582.216i | −1.33545 | − | 0.644757i | ||||
\(904\) | 151.792 | + | 1194.33i | 0.167912 | + | 1.32116i | ||||
\(905\) | 751.153 | + | 49.2370i | 0.830003 | + | 0.0544056i | ||||
\(906\) | −519.592 | + | 430.503i | −0.573501 | + | 0.475169i | ||||
\(907\) | −404.571 | + | 404.571i | −0.446055 | + | 0.446055i | −0.894041 | − | 0.447986i | \(-0.852141\pi\) |
0.447986 | + | 0.894041i | \(0.352141\pi\) | |||||||
\(908\) | −575.225 | + | 681.380i | −0.633508 | + | 0.750419i | ||||
\(909\) | 697.596 | − | 554.047i | 0.767432 | − | 0.609513i | ||||
\(910\) | 92.4438 | − | 44.4188i | 0.101587 | − | 0.0488119i | ||||
\(911\) | 220.664 | + | 160.321i | 0.242221 | + | 0.175984i | 0.702272 | − | 0.711908i | \(-0.252169\pi\) |
−0.460051 | + | 0.887892i | \(0.652169\pi\) | |||||||
\(912\) | 803.492 | + | 1032.64i | 0.881022 | + | 1.13228i | ||||
\(913\) | 330.364 | − | 2085.84i | 0.361845 | − | 2.28460i | ||||
\(914\) | 374.136 | + | 1005.25i | 0.409339 | + | 1.09983i | ||||
\(915\) | −351.787 | + | 322.109i | −0.384466 | + | 0.352032i | ||||
\(916\) | −1001.79 | − | 606.020i | −1.09366 | − | 0.661593i | ||||
\(917\) | 1068.61 | + | 2097.27i | 1.16534 | + | 2.28710i | ||||
\(918\) | 539.790 | − | 145.652i | 0.588007 | − | 0.158662i | ||||
\(919\) | 472.457 | − | 1454.07i | 0.514099 | − | 1.58223i | −0.270816 | − | 0.962631i | \(-0.587293\pi\) |
0.784915 | − | 0.619604i | \(-0.212707\pi\) | |||||||
\(920\) | 1029.56 | − | 848.484i | 1.11908 | − | 0.922265i | ||||
\(921\) | −734.785 | + | 256.292i | −0.797812 | + | 0.278276i | ||||
\(922\) | −117.809 | + | 66.4208i | −0.127775 | + | 0.0720399i | ||||
\(923\) | −53.4474 | + | 8.46524i | −0.0579062 | + | 0.00917144i | ||||
\(924\) | −1029.04 | − | 2305.04i | −1.11368 | − | 2.49463i | ||||
\(925\) | 178.742 | − | 63.2937i | 0.193234 | − | 0.0684257i | ||||
\(926\) | 451.631 | + | 299.900i | 0.487723 | + | 0.323866i | ||||
\(927\) | −11.4980 | + | 2.33041i | −0.0124035 | + | 0.00251392i | ||||
\(928\) | −322.078 | − | 85.8675i | −0.347067 | − | 0.0925296i | ||||
\(929\) | −27.0195 | − | 83.1574i | −0.0290845 | − | 0.0895128i | 0.935461 | − | 0.353431i | \(-0.114985\pi\) |
−0.964545 | + | 0.263918i | \(0.914985\pi\) | |||||||
\(930\) | −457.496 | + | 331.084i | −0.491931 | + | 0.356005i | ||||
\(931\) | −1346.10 | − | 437.374i | −1.44586 | − | 0.469790i | ||||
\(932\) | 146.635 | + | 59.7550i | 0.157334 | + | 0.0641148i | ||||
\(933\) | −758.580 | − | 1413.04i | −0.813055 | − | 1.51452i | ||||
\(934\) | −1162.08 | + | 48.9979i | −1.24420 | + | 0.0524603i | ||||
\(935\) | −1079.45 | + | 99.1817i | −1.15449 | + | 0.106077i | ||||
\(936\) | 52.6080 | + | 51.3369i | 0.0562051 | + | 0.0548471i | ||||
\(937\) | 405.011 | + | 64.1475i | 0.432242 | + | 0.0684605i | 0.368765 | − | 0.929523i | \(-0.379781\pi\) |
0.0634777 | + | 0.997983i | \(0.479781\pi\) | |||||||
\(938\) | 848.037 | + | 779.417i | 0.904090 | + | 0.830935i | ||||
\(939\) | −234.921 | + | 338.368i | −0.250182 | + | 0.360350i | ||||
\(940\) | 424.295 | + | 795.354i | 0.451378 | + | 0.846121i | ||||
\(941\) | −593.483 | − | 816.859i | −0.630694 | − | 0.868075i | 0.367383 | − | 0.930070i | \(-0.380254\pi\) |
−0.998076 | + | 0.0619944i | \(0.980254\pi\) | |||||||
\(942\) | −87.9407 | + | 937.844i | −0.0933553 | + | 0.995588i | ||||
\(943\) | −1220.09 | − | 1220.09i | −1.29384 | − | 1.29384i | ||||
\(944\) | −360.656 | + | 189.007i | −0.382050 | + | 0.200220i | ||||
\(945\) | −420.539 | + | 1289.37i | −0.445015 | + | 1.36442i | ||||
\(946\) | −499.946 | + | 1792.34i | −0.528484 | + | 1.89465i | ||||
\(947\) | −20.7117 | + | 40.6489i | −0.0218708 | + | 0.0429239i | −0.901683 | − | 0.432397i | \(-0.857668\pi\) |
0.879813 | + | 0.475321i | \(0.157668\pi\) | |||||||
\(948\) | 138.268 | − | 89.9893i | 0.145852 | − | 0.0949254i | ||||
\(949\) | 5.33870i | 0.00562560i | ||||||||
\(950\) | −331.713 | + | 1321.95i | −0.349171 | + | 1.39153i | ||||
\(951\) | −29.2908 | − | 1365.64i | −0.0308000 | − | 1.43601i | ||||
\(952\) | 25.5108 | − | 831.716i | 0.0267971 | − | 0.873651i | ||||
\(953\) | 105.979 | − | 207.996i | 0.111206 | − | 0.218254i | −0.828695 | − | 0.559700i | \(-0.810916\pi\) |
0.939902 | + | 0.341445i | \(0.110916\pi\) | |||||||
\(954\) | −235.603 | − | 54.9487i | −0.246963 | − | 0.0575982i | ||||
\(955\) | −493.987 | − | 410.849i | −0.517264 | − | 0.430209i | ||||
\(956\) | 1204.59 | − | 101.761i | 1.26003 | − | 0.106445i | ||||
\(957\) | 452.665 | − | 472.508i | 0.473004 | − | 0.493739i | ||||
\(958\) | −664.616 | − | 76.7297i | −0.693754 | − | 0.0800936i | ||||
\(959\) | −289.732 | − | 398.782i | −0.302119 | − | 0.415831i | ||||
\(960\) | −343.481 | − | 896.449i | −0.357793 | − | 0.933801i | ||||
\(961\) | −490.786 | − | 356.577i | −0.510704 | − | 0.371048i | ||||
\(962\) | −10.4796 | + | 11.4023i | −0.0108936 | + | 0.0118527i | ||||
\(963\) | 3.19963 | − | 27.8984i | 0.00332256 | − | 0.0289703i | ||||
\(964\) | 252.145 | + | 59.0067i | 0.261562 | + | 0.0612102i | ||||
\(965\) | −384.905 | − | 228.997i | −0.398866 | − | 0.237303i | ||||
\(966\) | −2006.36 | + | 127.744i | −2.07698 | + | 0.132241i | ||||
\(967\) | 297.421 | + | 583.722i | 0.307571 | + | 0.603643i | 0.992115 | − | 0.125329i | \(-0.0399986\pi\) |
−0.684544 | + | 0.728972i | \(0.739999\pi\) | |||||||
\(968\) | −2099.44 | + | 1429.09i | −2.16884 | + | 1.47633i | ||||
\(969\) | −810.663 | − | 244.310i | −0.836598 | − | 0.252126i | ||||
\(970\) | 383.383 | + | 292.440i | 0.395240 | + | 0.301484i | ||||
\(971\) | 135.321 | + | 416.474i | 0.139362 | + | 0.428913i | 0.996243 | − | 0.0866018i | \(-0.0276008\pi\) |
−0.856881 | + | 0.515515i | \(0.827601\pi\) | |||||||
\(972\) | −971.424 | + | 33.4531i | −0.999408 | + | 0.0344168i | ||||
\(973\) | −1485.32 | + | 235.251i | −1.52653 | + | 0.241779i | ||||
\(974\) | 675.449 | − | 1017.19i | 0.693479 | − | 1.04434i | ||||
\(975\) | −8.36482 | + | 76.1101i | −0.00857930 | + | 0.0780616i | ||||
\(976\) | −355.607 | + | 363.864i | −0.364352 | + | 0.372812i | ||||
\(977\) | −188.530 | + | 29.8602i | −0.192968 | + | 0.0305632i | −0.252170 | − | 0.967683i | \(-0.581144\pi\) |
0.0592021 | + | 0.998246i | \(0.481144\pi\) | |||||||
\(978\) | −444.781 | − | 750.794i | −0.454786 | − | 0.767683i | ||||
\(979\) | 602.799 | + | 1855.22i | 0.615729 | + | 1.89502i | ||||
\(980\) | 851.484 | + | 594.480i | 0.868862 | + | 0.606612i | ||||
\(981\) | 345.513 | − | 1242.29i | 0.352205 | − | 1.26635i | ||||
\(982\) | −1071.28 | + | 216.287i | −1.09091 | + | 0.220252i | ||||
\(983\) | −194.472 | − | 381.673i | −0.197835 | − | 0.388273i | 0.770682 | − | 0.637220i | \(-0.219916\pi\) |
−0.968517 | + | 0.248947i | \(0.919916\pi\) | |||||||
\(984\) | −1111.42 | + | 553.452i | −1.12949 | + | 0.562451i | ||||
\(985\) | −147.280 | + | 650.869i | −0.149523 | + | 0.660780i | ||||
\(986\) | 202.150 | − | 75.2367i | 0.205020 | − | 0.0763049i | ||||
\(987\) | 183.683 | − | 1345.93i | 0.186102 | − | 1.36366i | ||||
\(988\) | −26.6065 | − | 108.088i | −0.0269297 | − | 0.109401i | ||||
\(989\) | 1198.93 | + | 871.072i | 1.21226 | + | 0.880760i | ||||
\(990\) | 1866.76 | + | 258.320i | 1.88562 | + | 0.260929i | ||||
\(991\) | 582.720 | + | 802.045i | 0.588012 | + | 0.809329i | 0.994545 | − | 0.104307i | \(-0.0332624\pi\) |
−0.406533 | + | 0.913636i | \(0.633262\pi\) | |||||||
\(992\) | −467.660 | + | 379.676i | −0.471431 | + | 0.382738i | ||||
\(993\) | 753.781 | + | 722.126i | 0.759095 | + | 0.727216i | ||||
\(994\) | −661.725 | − | 834.459i | −0.665720 | − | 0.839496i | ||||
\(995\) | 203.268 | + | 800.386i | 0.204289 | + | 0.804408i | ||||
\(996\) | −898.582 | + | 810.721i | −0.902191 | + | 0.813976i | ||||
\(997\) | 495.277 | − | 972.036i | 0.496768 | − | 0.974961i | −0.497441 | − | 0.867498i | \(-0.665727\pi\) |
0.994209 | − | 0.107464i | \(-0.0342729\pi\) | |||||||
\(998\) | −504.914 | − | 231.015i | −0.505926 | − | 0.231478i | ||||
\(999\) | −13.1659 | − | 204.363i | −0.0131791 | − | 0.204568i |
(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 | 300.3.u.a.287.100 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.17 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.89 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.28 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.28 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.89 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.17 | ✓ | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.100 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.17 | ✓ | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.28 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.89 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.100 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.287.17 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.28 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.89 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.100 | yes | 928 | 1.1 | even | 1 | trivial |