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 | 287.47 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.47 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.634567 | − | 1.89666i | −0.317284 | − | 0.948331i | ||||
\(3\) | −2.53363 | + | 1.60647i | −0.844542 | + | 0.535489i | ||||
\(4\) | −3.19465 | + | 2.40712i | −0.798662 | + | 0.601780i | ||||
\(5\) | 0.754260 | − | 4.94278i | 0.150852 | − | 0.988556i | ||||
\(6\) | 4.65468 | + | 3.78602i | 0.775780 | + | 0.631004i | ||||
\(7\) | 2.00234 | − | 2.00234i | 0.286049 | − | 0.286049i | −0.549467 | − | 0.835516i | \(-0.685169\pi\) |
0.835516 | + | 0.549467i | \(0.185169\pi\) | |||||||
\(8\) | 6.59271 | + | 4.53169i | 0.824089 | + | 0.566461i | ||||
\(9\) | 3.83854 | − | 8.14037i | 0.426504 | − | 0.904486i | ||||
\(10\) | −9.85341 | + | 1.70595i | −0.985341 | + | 0.170595i | ||||
\(11\) | 6.53158 | + | 4.74547i | 0.593780 | + | 0.431407i | 0.843666 | − | 0.536869i | \(-0.180393\pi\) |
−0.249886 | + | 0.968275i | \(0.580393\pi\) | |||||||
\(12\) | 4.22710 | − | 11.2308i | 0.352258 | − | 0.935903i | ||||
\(13\) | −0.223764 | + | 1.41279i | −0.0172126 | + | 0.108676i | −0.994799 | − | 0.101859i | \(-0.967521\pi\) |
0.977586 | + | 0.210536i | \(0.0675208\pi\) | |||||||
\(14\) | −5.06839 | − | 2.52714i | −0.362028 | − | 0.180510i | ||||
\(15\) | 6.02940 | + | 13.7349i | 0.401960 | + | 0.915657i | ||||
\(16\) | 4.41156 | − | 15.3798i | 0.275722 | − | 0.961237i | ||||
\(17\) | −10.9565 | − | 21.5034i | −0.644503 | − | 1.26491i | −0.949862 | − | 0.312670i | \(-0.898777\pi\) |
0.305359 | − | 0.952237i | \(-0.401223\pi\) | |||||||
\(18\) | −17.8753 | − | 2.11479i | −0.993074 | − | 0.117488i | ||||
\(19\) | −2.14636 | + | 6.60582i | −0.112966 | + | 0.347675i | −0.991517 | − | 0.129974i | \(-0.958511\pi\) |
0.878551 | + | 0.477648i | \(0.158511\pi\) | |||||||
\(20\) | 9.48827 | + | 17.6060i | 0.474413 | + | 0.880302i | ||||
\(21\) | −1.85650 | + | 8.28988i | −0.0884046 | + | 0.394756i | ||||
\(22\) | 4.85583 | − | 15.3995i | 0.220719 | − | 0.699978i | ||||
\(23\) | −32.6956 | + | 5.17847i | −1.42155 | + | 0.225151i | −0.819394 | − | 0.573231i | \(-0.805690\pi\) |
−0.602152 | + | 0.798381i | \(0.705690\pi\) | |||||||
\(24\) | −23.9835 | − | 0.890648i | −0.999311 | − | 0.0371103i | ||||
\(25\) | −23.8622 | − | 7.45628i | −0.954487 | − | 0.298251i | ||||
\(26\) | 2.82158 | − | 0.472106i | 0.108522 | − | 0.0181579i | ||||
\(27\) | 3.35180 | + | 26.7911i | 0.124141 | + | 0.992265i | ||||
\(28\) | −1.57690 | + | 11.2167i | −0.0563180 | + | 0.400595i | ||||
\(29\) | −7.65326 | − | 23.5543i | −0.263905 | − | 0.812218i | −0.991944 | − | 0.126681i | \(-0.959568\pi\) |
0.728038 | − | 0.685537i | \(-0.240432\pi\) | |||||||
\(30\) | 22.2243 | − | 20.1514i | 0.740811 | − | 0.671714i | ||||
\(31\) | −29.6500 | − | 9.63387i | −0.956452 | − | 0.310770i | −0.211117 | − | 0.977461i | \(-0.567710\pi\) |
−0.745334 | + | 0.666691i | \(0.767710\pi\) | |||||||
\(32\) | −31.9697 | + | 1.39228i | −0.999053 | + | 0.0435089i | ||||
\(33\) | −24.1720 | − | 1.53050i | −0.732486 | − | 0.0463787i | ||||
\(34\) | −33.8321 | + | 34.4262i | −0.995061 | + | 1.01254i | ||||
\(35\) | −8.38686 | − | 11.4074i | −0.239624 | − | 0.325927i | ||||
\(36\) | 7.33206 | + | 35.2454i | 0.203668 | + | 0.979040i | ||||
\(37\) | −32.6129 | − | 5.16538i | −0.881431 | − | 0.139605i | −0.300718 | − | 0.953713i | \(-0.597226\pi\) |
−0.580713 | + | 0.814108i | \(0.697226\pi\) | |||||||
\(38\) | 13.8910 | − | 0.120918i | 0.365553 | − | 0.00318204i | ||||
\(39\) | −1.70266 | − | 3.93895i | −0.0436580 | − | 0.100999i | ||||
\(40\) | 27.3718 | − | 29.1683i | 0.684294 | − | 0.729206i | ||||
\(41\) | 10.7827 | + | 14.8411i | 0.262992 | + | 0.361978i | 0.920008 | − | 0.391899i | \(-0.128182\pi\) |
−0.657016 | + | 0.753876i | \(0.728182\pi\) | |||||||
\(42\) | 16.9012 | − | 1.73935i | 0.402409 | − | 0.0414130i | ||||
\(43\) | −11.7071 | − | 11.7071i | −0.272259 | − | 0.272259i | 0.557750 | − | 0.830009i | \(-0.311665\pi\) |
−0.830009 | + | 0.557750i | \(0.811665\pi\) | |||||||
\(44\) | −32.2890 | + | 0.562178i | −0.733841 | + | 0.0127768i | ||||
\(45\) | −37.3408 | − | 25.1130i | −0.829796 | − | 0.558067i | ||||
\(46\) | 30.5693 | + | 58.7263i | 0.664551 | + | 1.27666i | ||||
\(47\) | 10.0637 | − | 19.7511i | 0.214121 | − | 0.420236i | −0.758816 | − | 0.651304i | \(-0.774222\pi\) |
0.972938 | + | 0.231068i | \(0.0742221\pi\) | |||||||
\(48\) | 13.5299 | + | 46.0537i | 0.281872 | + | 0.959452i | ||||
\(49\) | 40.9812i | 0.836352i | ||||||||
\(50\) | 1.00012 | + | 49.9900i | 0.0200025 | + | 0.999800i | ||||
\(51\) | 62.3043 | + | 36.8804i | 1.22165 | + | 0.723144i | ||||
\(52\) | −2.68591 | − | 5.05199i | −0.0516520 | − | 0.0971537i | ||||
\(53\) | 27.2912 | − | 53.5619i | 0.514928 | − | 1.01060i | −0.476405 | − | 0.879226i | \(-0.658060\pi\) |
0.991333 | − | 0.131376i | \(-0.0419396\pi\) | |||||||
\(54\) | 48.6868 | − | 23.3580i | 0.901607 | − | 0.432556i | ||||
\(55\) | 28.3823 | − | 28.7049i | 0.516043 | − | 0.521907i | ||||
\(56\) | 22.2749 | − | 4.12687i | 0.397765 | − | 0.0736941i | ||||
\(57\) | −5.17394 | − | 20.1847i | −0.0907709 | − | 0.354118i | ||||
\(58\) | −39.8180 | + | 29.4624i | −0.686518 | + | 0.507973i | ||||
\(59\) | −47.1615 | − | 64.9122i | −0.799347 | − | 1.10021i | −0.992881 | − | 0.119113i | \(-0.961995\pi\) |
0.193533 | − | 0.981094i | \(-0.438005\pi\) | |||||||
\(60\) | −52.3232 | − | 29.3646i | −0.872054 | − | 0.489410i | ||||
\(61\) | 75.0063 | + | 54.4953i | 1.22961 | + | 0.893365i | 0.996861 | − | 0.0791718i | \(-0.0252276\pi\) |
0.232750 | + | 0.972537i | \(0.425228\pi\) | |||||||
\(62\) | 0.542735 | + | 62.3494i | 0.00875380 | + | 1.00563i | ||||
\(63\) | −8.61375 | − | 23.9859i | −0.136726 | − | 0.380728i | ||||
\(64\) | 22.9276 | + | 59.7522i | 0.358244 | + | 0.933628i | ||||
\(65\) | 6.81434 | + | 2.17163i | 0.104836 | + | 0.0334096i | ||||
\(66\) | 12.4360 | + | 46.8174i | 0.188423 | + | 0.709354i | ||||
\(67\) | −40.9093 | − | 80.2891i | −0.610587 | − | 1.19834i | −0.964752 | − | 0.263162i | \(-0.915235\pi\) |
0.354164 | − | 0.935183i | \(-0.384765\pi\) | |||||||
\(68\) | 86.7636 | + | 42.3222i | 1.27594 | + | 0.622385i | ||||
\(69\) | 74.5193 | − | 65.6446i | 1.07999 | − | 0.951371i | ||||
\(70\) | −16.3140 | + | 23.1458i | −0.233057 | + | 0.330654i | ||||
\(71\) | 36.9413 | + | 113.694i | 0.520301 | + | 1.60132i | 0.773426 | + | 0.633887i | \(0.218542\pi\) |
−0.253125 | + | 0.967434i | \(0.581458\pi\) | |||||||
\(72\) | 62.1960 | − | 36.2720i | 0.863833 | − | 0.503778i | ||||
\(73\) | −82.1916 | + | 13.0179i | −1.12591 | + | 0.178327i | −0.691493 | − | 0.722383i | \(-0.743047\pi\) |
−0.434420 | + | 0.900711i | \(0.643047\pi\) | |||||||
\(74\) | 10.8981 | + | 65.1335i | 0.147272 | + | 0.880182i | ||||
\(75\) | 72.4361 | − | 19.4423i | 0.965815 | − | 0.259231i | ||||
\(76\) | −9.04412 | − | 26.2698i | −0.119002 | − | 0.345655i | ||||
\(77\) | 22.5805 | − | 3.57640i | 0.293254 | − | 0.0464468i | ||||
\(78\) | −6.39040 | + | 5.72891i | −0.0819282 | + | 0.0734475i | ||||
\(79\) | 17.1131 | + | 52.6688i | 0.216622 | + | 0.666694i | 0.999034 | + | 0.0439335i | \(0.0139890\pi\) |
−0.782412 | + | 0.622761i | \(0.786011\pi\) | |||||||
\(80\) | −72.6915 | − | 33.4057i | −0.908644 | − | 0.417572i | ||||
\(81\) | −51.5313 | − | 62.4942i | −0.636189 | − | 0.771534i | ||||
\(82\) | 21.3062 | − | 29.8687i | 0.259831 | − | 0.364253i | ||||
\(83\) | −53.8552 | − | 105.697i | −0.648858 | − | 1.27346i | −0.947703 | − | 0.319154i | \(-0.896601\pi\) |
0.298845 | − | 0.954302i | \(-0.403399\pi\) | |||||||
\(84\) | −14.0239 | − | 30.9521i | −0.166951 | − | 0.368477i | ||||
\(85\) | −114.551 | + | 37.9366i | −1.34766 | + | 0.446313i | ||||
\(86\) | −14.7755 | + | 29.6334i | −0.171808 | + | 0.344575i | ||||
\(87\) | 57.2297 | + | 47.3831i | 0.657813 | + | 0.544634i | ||||
\(88\) | 21.5558 | + | 60.8846i | 0.244953 | + | 0.691871i | ||||
\(89\) | −41.0772 | − | 29.8443i | −0.461542 | − | 0.335330i | 0.332594 | − | 0.943070i | \(-0.392076\pi\) |
−0.794136 | + | 0.607740i | \(0.792076\pi\) | |||||||
\(90\) | −23.9356 | + | 86.7588i | −0.265951 | + | 0.963987i | ||||
\(91\) | 2.38084 | + | 3.27694i | 0.0261630 | + | 0.0360103i | ||||
\(92\) | 91.9856 | − | 95.2455i | 0.999844 | − | 1.03528i | ||||
\(93\) | 90.5986 | − | 23.2231i | 0.974178 | − | 0.249710i | ||||
\(94\) | −43.8472 | − | 6.55401i | −0.466460 | − | 0.0697235i | ||||
\(95\) | 31.0322 | + | 15.5915i | 0.326655 | + | 0.164121i | ||||
\(96\) | 78.7626 | − | 54.8857i | 0.820444 | − | 0.571727i | ||||
\(97\) | −3.97717 | + | 7.80564i | −0.0410018 | + | 0.0804706i | −0.910599 | − | 0.413292i | \(-0.864379\pi\) |
0.869597 | + | 0.493763i | \(0.164379\pi\) | |||||||
\(98\) | 77.7275 | − | 26.0054i | 0.793138 | − | 0.265361i | ||||
\(99\) | 63.7016 | − | 34.9538i | 0.643451 | − | 0.353069i | ||||
\(100\) | 94.1794 | − | 33.6189i | 0.941794 | − | 0.336189i | ||||
\(101\) | − | 164.360i | − | 1.62733i | −0.581334 | − | 0.813665i | \(-0.697469\pi\) | ||
0.581334 | − | 0.813665i | \(-0.302531\pi\) | |||||||
\(102\) | 30.4133 | − | 141.573i | 0.298169 | − | 1.38797i | ||||
\(103\) | 26.4864 | − | 51.9826i | 0.257150 | − | 0.504685i | −0.725952 | − | 0.687746i | \(-0.758600\pi\) |
0.983102 | + | 0.183060i | \(0.0586004\pi\) | |||||||
\(104\) | −7.87753 | + | 8.30008i | −0.0757455 | + | 0.0798085i | ||||
\(105\) | 39.5748 | + | 15.4290i | 0.376903 | + | 0.146943i | ||||
\(106\) | −118.907 | − | 17.7734i | −1.12176 | − | 0.167674i | ||||
\(107\) | −65.3321 | − | 65.3321i | −0.610581 | − | 0.610581i | 0.332517 | − | 0.943097i | \(-0.392102\pi\) |
−0.943097 | + | 0.332517i | \(0.892102\pi\) | |||||||
\(108\) | −75.1973 | − | 77.5201i | −0.696271 | − | 0.717779i | ||||
\(109\) | 8.82383 | + | 12.1450i | 0.0809525 | + | 0.111422i | 0.847573 | − | 0.530679i | \(-0.178063\pi\) |
−0.766620 | + | 0.642101i | \(0.778063\pi\) | |||||||
\(110\) | −72.4539 | − | 35.6165i | −0.658672 | − | 0.323787i | ||||
\(111\) | 90.9270 | − | 39.3044i | 0.819163 | − | 0.354094i | ||||
\(112\) | −21.9622 | − | 39.6291i | −0.196091 | − | 0.353831i | ||||
\(113\) | 19.2409 | + | 3.04746i | 0.170273 | + | 0.0269687i | 0.240989 | − | 0.970528i | \(-0.422528\pi\) |
−0.0707155 | + | 0.997497i | \(0.522528\pi\) | |||||||
\(114\) | −35.0004 | + | 22.6218i | −0.307021 | + | 0.198437i | ||||
\(115\) | 0.935099 | + | 165.513i | 0.00813129 | + | 1.43924i | ||||
\(116\) | 81.1475 | + | 56.8254i | 0.699547 | + | 0.489874i | ||||
\(117\) | 10.6417 | + | 7.24457i | 0.0909548 | + | 0.0619194i | ||||
\(118\) | −93.1894 | + | 130.641i | −0.789740 | + | 1.10712i | ||||
\(119\) | −64.9960 | − | 21.1185i | −0.546185 | − | 0.177466i | ||||
\(120\) | −22.4920 | + | 117.873i | −0.187434 | + | 0.982277i | ||||
\(121\) | −17.2490 | − | 53.0870i | −0.142554 | − | 0.438735i | ||||
\(122\) | 55.7625 | − | 176.842i | 0.457070 | − | 1.44953i | ||||
\(123\) | −51.1610 | − | 20.2798i | −0.415943 | − | 0.164876i | ||||
\(124\) | 117.911 | − | 40.5943i | 0.950897 | − | 0.327373i | ||||
\(125\) | −54.8531 | + | 112.322i | −0.438824 | + | 0.898573i | ||||
\(126\) | −40.0271 | + | 31.5580i | −0.317675 | + | 0.250460i | ||||
\(127\) | −0.608275 | + | 0.0963413i | −0.00478957 | + | 0.000758593i | −0.158829 | − | 0.987306i | \(-0.550772\pi\) |
0.154039 | + | 0.988065i | \(0.450772\pi\) | |||||||
\(128\) | 98.7806 | − | 81.4027i | 0.771723 | − | 0.635959i | ||||
\(129\) | 48.4686 | + | 10.8544i | 0.375726 | + | 0.0841426i | ||||
\(130\) | −0.205315 | − | 14.3025i | −0.00157935 | − | 0.110019i | ||||
\(131\) | 15.5182 | − | 47.7602i | 0.118460 | − | 0.364581i | −0.874193 | − | 0.485578i | \(-0.838609\pi\) |
0.992653 | + | 0.120997i | \(0.0386091\pi\) | |||||||
\(132\) | 80.9052 | − | 53.2956i | 0.612919 | − | 0.403754i | ||||
\(133\) | 8.92936 | + | 17.5249i | 0.0671381 | + | 0.131766i | ||||
\(134\) | −126.322 | + | 128.540i | −0.942698 | + | 0.959254i | ||||
\(135\) | 134.951 | + | 3.64024i | 0.999636 | + | 0.0269647i | ||||
\(136\) | 25.2135 | − | 191.417i | 0.185393 | − | 1.40748i | ||||
\(137\) | −32.4259 | + | 204.729i | −0.236685 | + | 1.49437i | 0.527600 | + | 0.849493i | \(0.323092\pi\) |
−0.764286 | + | 0.644878i | \(0.776908\pi\) | |||||||
\(138\) | −171.793 | − | 99.6820i | −1.24488 | − | 0.722334i | ||||
\(139\) | 160.616 | + | 116.694i | 1.15551 | + | 0.839526i | 0.989203 | − | 0.146549i | \(-0.0468166\pi\) |
0.166304 | + | 0.986074i | \(0.446817\pi\) | |||||||
\(140\) | 54.2521 | + | 16.2546i | 0.387515 | + | 0.116104i | ||||
\(141\) | 6.23183 | + | 66.2089i | 0.0441974 | + | 0.469567i | ||||
\(142\) | 192.197 | − | 142.212i | 1.35350 | − | 1.00149i | ||||
\(143\) | −8.16589 | + | 8.16589i | −0.0571041 | + | 0.0571041i | ||||
\(144\) | −108.263 | − | 94.9476i | −0.751829 | − | 0.659359i | ||||
\(145\) | −122.196 | + | 20.0623i | −0.842733 | + | 0.138361i | ||||
\(146\) | 76.8466 | + | 147.629i | 0.526347 | + | 1.01116i | ||||
\(147\) | −65.8350 | − | 103.831i | −0.447857 | − | 0.706335i | ||||
\(148\) | 116.621 | − | 62.0016i | 0.787977 | − | 0.418930i | ||||
\(149\) | 79.1171 | 0.530987 | 0.265494 | − | 0.964113i | \(-0.414465\pi\) | ||||
0.265494 | + | 0.964113i | \(0.414465\pi\) | |||||||
\(150\) | −82.8412 | − | 125.049i | −0.552274 | − | 0.833662i | ||||
\(151\) | 78.1238i | 0.517376i | 0.965961 | + | 0.258688i | \(0.0832902\pi\) | ||||
−0.965961 | + | 0.258688i | \(0.916710\pi\) | |||||||
\(152\) | −44.0858 | + | 33.8236i | −0.290038 | + | 0.222524i | ||||
\(153\) | −217.103 | + | 6.64864i | −1.41897 | + | 0.0434552i | ||||
\(154\) | −21.1121 | − | 40.5581i | −0.137092 | − | 0.263365i | ||||
\(155\) | −69.9819 | + | 139.287i | −0.451496 | + | 0.898626i | ||||
\(156\) | 14.9209 | + | 8.48505i | 0.0956470 | + | 0.0543914i | ||||
\(157\) | 154.460 | + | 154.460i | 0.983823 | + | 0.983823i | 0.999871 | − | 0.0160481i | \(-0.00510848\pi\) |
−0.0160481 | + | 0.999871i | \(0.505108\pi\) | |||||||
\(158\) | 89.0355 | − | 65.8798i | 0.563516 | − | 0.416961i | ||||
\(159\) | 16.8997 | + | 179.548i | 0.106288 | + | 1.12923i | ||||
\(160\) | −17.2317 | + | 159.069i | −0.107698 | + | 0.994184i | ||||
\(161\) | −55.0986 | + | 75.8368i | −0.342228 | + | 0.471036i | ||||
\(162\) | −85.8303 | + | 137.394i | −0.529817 | + | 0.848112i | ||||
\(163\) | −42.5480 | − | 6.73895i | −0.261031 | − | 0.0413432i | 0.0245472 | − | 0.999699i | \(-0.492186\pi\) |
−0.285578 | + | 0.958355i | \(0.592186\pi\) | |||||||
\(164\) | −70.1711 | − | 21.4569i | −0.427873 | − | 0.130834i | ||||
\(165\) | −25.7969 | + | 118.323i | −0.156345 | + | 0.717107i | ||||
\(166\) | −166.296 | + | 169.217i | −1.00178 | + | 1.01938i | ||||
\(167\) | −55.7506 | + | 28.4063i | −0.333836 | + | 0.170098i | −0.612871 | − | 0.790183i | \(-0.709985\pi\) |
0.279035 | + | 0.960281i | \(0.409985\pi\) | |||||||
\(168\) | −49.8065 | + | 46.2397i | −0.296467 | + | 0.275237i | ||||
\(169\) | 158.783 | + | 51.5916i | 0.939542 | + | 0.305276i | ||||
\(170\) | 144.643 | + | 193.191i | 0.850842 | + | 1.13642i | ||||
\(171\) | 45.5349 | + | 42.8288i | 0.266286 | + | 0.250461i | ||||
\(172\) | 65.5806 | + | 9.21971i | 0.381283 | + | 0.0536030i | ||||
\(173\) | −12.1226 | − | 76.5388i | −0.0700726 | − | 0.442421i | −0.997634 | − | 0.0687500i | \(-0.978099\pi\) |
0.927561 | − | 0.373671i | \(-0.121901\pi\) | |||||||
\(174\) | 53.5537 | − | 138.613i | 0.307780 | − | 0.796627i | ||||
\(175\) | −62.7103 | + | 32.8502i | −0.358345 | + | 0.187716i | ||||
\(176\) | 101.799 | − | 79.5195i | 0.578403 | − | 0.451815i | ||||
\(177\) | 223.769 | + | 88.7001i | 1.26423 | + | 0.501130i | ||||
\(178\) | −30.5384 | + | 96.8478i | −0.171564 | + | 0.544089i | ||||
\(179\) | −259.694 | + | 84.3797i | −1.45081 | + | 0.471395i | −0.925248 | − | 0.379363i | \(-0.876143\pi\) |
−0.525557 | + | 0.850758i | \(0.676143\pi\) | |||||||
\(180\) | 179.741 | − | 9.65659i | 0.998560 | − | 0.0536477i | ||||
\(181\) | 67.4285 | − | 207.523i | 0.372533 | − | 1.14654i | −0.572595 | − | 0.819838i | \(-0.694063\pi\) |
0.945128 | − | 0.326700i | \(-0.105937\pi\) | |||||||
\(182\) | 4.70445 | − | 6.59508i | 0.0258486 | − | 0.0362367i | ||||
\(183\) | −277.583 | − | 17.5757i | −1.51685 | − | 0.0960418i | ||||
\(184\) | −239.020 | − | 114.026i | −1.29902 | − | 0.619706i | ||||
\(185\) | −50.1300 | + | 157.303i | −0.270973 | + | 0.850284i | ||||
\(186\) | −101.537 | − | 157.098i | −0.545899 | − | 0.844614i | ||||
\(187\) | 30.4804 | − | 192.445i | 0.162997 | − | 1.02912i | ||||
\(188\) | 15.3933 | + | 87.3223i | 0.0818792 | + | 0.464480i | ||||
\(189\) | 60.3565 | + | 46.9336i | 0.319347 | + | 0.248326i | ||||
\(190\) | 9.87976 | − | 68.7514i | 0.0519987 | − | 0.361850i | ||||
\(191\) | 120.223 | − | 87.3468i | 0.629437 | − | 0.457313i | −0.226768 | − | 0.973949i | \(-0.572816\pi\) |
0.856205 | + | 0.516636i | \(0.172816\pi\) | |||||||
\(192\) | −154.080 | − | 114.557i | −0.802499 | − | 0.596653i | ||||
\(193\) | 218.993 | − | 218.993i | 1.13468 | − | 1.13468i | 0.145292 | − | 0.989389i | \(-0.453588\pi\) |
0.989389 | − | 0.145292i | \(-0.0464121\pi\) | |||||||
\(194\) | 17.3284 | + | 2.59015i | 0.0893219 | + | 0.0133513i | ||||
\(195\) | −20.7536 | + | 5.44490i | −0.106429 | + | 0.0279226i | ||||
\(196\) | −98.6467 | − | 130.921i | −0.503300 | − | 0.667963i | ||||
\(197\) | 200.189 | + | 102.001i | 1.01619 | + | 0.517774i | 0.881035 | − | 0.473051i | \(-0.156847\pi\) |
0.135153 | + | 0.990825i | \(0.456847\pi\) | |||||||
\(198\) | −106.719 | − | 98.6398i | −0.538983 | − | 0.498181i | ||||
\(199\) | −369.780 | −1.85819 | −0.929096 | − | 0.369839i | \(-0.879413\pi\) | ||||
−0.929096 | + | 0.369839i | \(0.879413\pi\) | |||||||
\(200\) | −123.527 | − | 157.293i | −0.617635 | − | 0.786465i | ||||
\(201\) | 232.631 | + | 137.703i | 1.15737 | + | 0.685091i | ||||
\(202\) | −311.736 | + | 104.298i | −1.54325 | + | 0.516325i | ||||
\(203\) | −62.4882 | − | 31.8393i | −0.307824 | − | 0.156844i | ||||
\(204\) | −287.816 | + | 32.1541i | −1.41086 | + | 0.157618i | ||||
\(205\) | 81.4891 | − | 42.1024i | 0.397508 | − | 0.205377i | ||||
\(206\) | −115.401 | − | 17.2494i | −0.560198 | − | 0.0837348i | ||||
\(207\) | −83.3484 | + | 286.032i | −0.402650 | + | 1.38180i | ||||
\(208\) | 20.7413 | + | 9.67405i | 0.0997177 | + | 0.0465098i | ||||
\(209\) | −45.3669 | + | 32.9609i | −0.217066 | + | 0.157708i | ||||
\(210\) | 4.15066 | − | 84.8507i | 0.0197651 | − | 0.404051i | ||||
\(211\) | 111.010 | − | 152.793i | 0.526115 | − | 0.724136i | −0.460417 | − | 0.887703i | \(-0.652300\pi\) |
0.986532 | + | 0.163567i | \(0.0523000\pi\) | |||||||
\(212\) | 41.7442 | + | 236.805i | 0.196907 | + | 1.11700i | ||||
\(213\) | −276.241 | − | 228.713i | −1.29690 | − | 1.07377i | ||||
\(214\) | −82.4553 | + | 165.371i | −0.385305 | + | 0.772760i | ||||
\(215\) | −66.6960 | + | 49.0356i | −0.310214 | + | 0.228072i | ||||
\(216\) | −99.3116 | + | 191.816i | −0.459776 | + | 0.888035i | ||||
\(217\) | −78.6598 | + | 40.0792i | −0.362487 | + | 0.184697i | ||||
\(218\) | 17.4356 | − | 24.4426i | 0.0799796 | − | 0.112122i | ||||
\(219\) | 187.330 | − | 165.020i | 0.855389 | − | 0.753518i | ||||
\(220\) | −21.5756 | + | 160.022i | −0.0980708 | + | 0.727371i | ||||
\(221\) | 32.8315 | − | 10.6676i | 0.148559 | − | 0.0482697i | ||||
\(222\) | −132.246 | − | 147.517i | −0.595705 | − | 0.664489i | ||||
\(223\) | −0.404146 | − | 2.55168i | −0.00181231 | − | 0.0114425i | 0.986766 | − | 0.162153i | \(-0.0518438\pi\) |
−0.988578 | + | 0.150711i | \(0.951844\pi\) | |||||||
\(224\) | −61.2265 | + | 66.8021i | −0.273332 | + | 0.298224i | ||||
\(225\) | −152.293 | + | 165.626i | −0.676857 | + | 0.736115i | ||||
\(226\) | −6.42965 | − | 38.4273i | −0.0284498 | − | 0.170032i | ||||
\(227\) | 5.94648 | + | 37.5446i | 0.0261960 | + | 0.165395i | 0.997318 | − | 0.0731878i | \(-0.0233172\pi\) |
−0.971122 | + | 0.238583i | \(0.923317\pi\) | |||||||
\(228\) | 65.1160 | + | 52.0288i | 0.285596 | + | 0.228197i | ||||
\(229\) | 96.0397 | − | 31.2052i | 0.419387 | − | 0.136267i | −0.0917186 | − | 0.995785i | \(-0.529236\pi\) |
0.511106 | + | 0.859518i | \(0.329236\pi\) | |||||||
\(230\) | 313.329 | − | 106.803i | 1.36230 | − | 0.464359i | ||||
\(231\) | −51.4653 | + | 45.3361i | −0.222793 | + | 0.196260i | ||||
\(232\) | 56.2851 | − | 189.969i | 0.242608 | − | 0.818831i | ||||
\(233\) | −175.154 | + | 89.2454i | −0.751734 | + | 0.383028i | −0.787486 | − | 0.616333i | \(-0.788617\pi\) |
0.0357516 | + | 0.999361i | \(0.488617\pi\) | |||||||
\(234\) | 6.98761 | − | 24.7809i | 0.0298616 | − | 0.105901i | ||||
\(235\) | −90.0348 | − | 64.6401i | −0.383127 | − | 0.275064i | ||||
\(236\) | 306.916 | + | 93.8484i | 1.30049 | + | 0.397663i | ||||
\(237\) | −127.969 | − | 105.952i | −0.539954 | − | 0.447053i | ||||
\(238\) | 1.18973 | + | 136.676i | 0.00499888 | + | 0.574271i | ||||
\(239\) | 57.2138 | − | 78.7481i | 0.239388 | − | 0.329490i | −0.672371 | − | 0.740214i | \(-0.734724\pi\) |
0.911760 | + | 0.410724i | \(0.134724\pi\) | |||||||
\(240\) | 237.838 | − | 32.1388i | 0.990993 | − | 0.133911i | ||||
\(241\) | 317.949 | − | 231.004i | 1.31929 | − | 0.958522i | 0.319351 | − | 0.947636i | \(-0.396535\pi\) |
0.999941 | − | 0.0108854i | \(-0.00346500\pi\) | |||||||
\(242\) | −89.7423 | + | 66.4027i | −0.370836 | + | 0.274392i | ||||
\(243\) | 230.956 | + | 75.5538i | 0.950436 | + | 0.310921i | ||||
\(244\) | −370.795 | + | 6.45585i | −1.51965 | + | 0.0264584i | ||||
\(245\) | 202.561 | + | 30.9105i | 0.826781 | + | 0.126165i | ||||
\(246\) | −5.99877 | + | 109.904i | −0.0243853 | + | 0.446764i | ||||
\(247\) | −8.85235 | − | 4.51050i | −0.0358395 | − | 0.0182611i | ||||
\(248\) | −151.816 | − | 197.878i | −0.612162 | − | 0.797895i | ||||
\(249\) | 306.247 | + | 181.280i | 1.22991 | + | 0.728031i | ||||
\(250\) | 247.844 | + | 32.7620i | 0.991376 | + | 0.131048i | ||||
\(251\) | 9.38803 | 0.0374025 | 0.0187013 | − | 0.999825i | \(-0.494047\pi\) | ||||
0.0187013 | + | 0.999825i | \(0.494047\pi\) | |||||||
\(252\) | 85.2547 | + | 55.8921i | 0.338312 | + | 0.221794i | ||||
\(253\) | −238.128 | − | 121.332i | −0.941217 | − | 0.479574i | ||||
\(254\) | 0.568718 | + | 1.09256i | 0.00223905 | + | 0.00430141i | ||||
\(255\) | 229.285 | − | 280.139i | 0.899158 | − | 1.09859i | ||||
\(256\) | −217.076 | − | 135.698i | −0.847954 | − | 0.530069i | ||||
\(257\) | −15.1040 | + | 15.1040i | −0.0587706 | + | 0.0587706i | −0.735881 | − | 0.677111i | \(-0.763232\pi\) |
0.677111 | + | 0.735881i | \(0.263232\pi\) | |||||||
\(258\) | −10.1695 | − | 98.8164i | −0.0394165 | − | 0.383009i | ||||
\(259\) | −75.6451 | + | 54.9594i | −0.292066 | + | 0.212199i | ||||
\(260\) | −26.9968 | + | 9.46533i | −0.103834 | + | 0.0364051i | ||||
\(261\) | −221.118 | − | 28.1137i | −0.847196 | − | 0.107715i | ||||
\(262\) | −100.432 | + | 0.874237i | −0.383329 | + | 0.00333678i | ||||
\(263\) | 2.15158 | − | 13.5845i | 0.00818090 | − | 0.0516522i | −0.983260 | − | 0.182207i | \(-0.941676\pi\) |
0.991441 | + | 0.130555i | \(0.0416759\pi\) | |||||||
\(264\) | −152.423 | − | 119.630i | −0.577362 | − | 0.453145i | ||||
\(265\) | −244.160 | − | 175.294i | −0.921359 | − | 0.661486i | ||||
\(266\) | 27.5724 | − | 28.0567i | 0.103656 | − | 0.105476i | ||||
\(267\) | 152.018 | + | 9.62531i | 0.569357 | + | 0.0360499i | ||||
\(268\) | 323.956 | + | 158.022i | 1.20879 | + | 0.589634i | ||||
\(269\) | 69.1995 | − | 212.974i | 0.257247 | − | 0.791725i | −0.736131 | − | 0.676839i | \(-0.763349\pi\) |
0.993379 | − | 0.114887i | \(-0.0366505\pi\) | |||||||
\(270\) | −78.7311 | − | 258.266i | −0.291597 | − | 0.956541i | ||||
\(271\) | 57.7627 | − | 18.7682i | 0.213146 | − | 0.0692555i | −0.200497 | − | 0.979694i | \(-0.564256\pi\) |
0.413644 | + | 0.910439i | \(0.364256\pi\) | |||||||
\(272\) | −379.054 | + | 73.6458i | −1.39358 | + | 0.270757i | ||||
\(273\) | −11.2964 | − | 4.47782i | −0.0413789 | − | 0.0164023i | ||||
\(274\) | 408.878 | − | 68.4133i | 1.49225 | − | 0.249684i | ||||
\(275\) | −120.474 | − | 161.939i | −0.438088 | − | 0.588868i | ||||
\(276\) | −80.0487 | + | 389.088i | −0.290032 | + | 1.40974i | ||||
\(277\) | 81.1076 | + | 512.093i | 0.292807 | + | 1.84871i | 0.494390 | + | 0.869240i | \(0.335392\pi\) |
−0.201582 | + | 0.979472i | \(0.564608\pi\) | |||||||
\(278\) | 119.408 | − | 378.684i | 0.429524 | − | 1.36217i | ||||
\(279\) | −192.236 | + | 204.382i | −0.689018 | + | 0.732552i | ||||
\(280\) | −3.59720 | − | 113.212i | −0.0128472 | − | 0.404330i | ||||
\(281\) | −429.732 | − | 139.628i | −1.52930 | − | 0.496898i | −0.580897 | − | 0.813977i | \(-0.697298\pi\) |
−0.948399 | + | 0.317079i | \(0.897298\pi\) | |||||||
\(282\) | 121.621 | − | 53.8337i | 0.431281 | − | 0.190900i | ||||
\(283\) | 401.351 | − | 204.499i | 1.41820 | − | 0.722610i | 0.434209 | − | 0.900812i | \(-0.357028\pi\) |
0.983994 | + | 0.178202i | \(0.0570281\pi\) | |||||||
\(284\) | −391.689 | − | 274.289i | −1.37919 | − | 0.965808i | ||||
\(285\) | −103.671 | + | 10.3491i | −0.363759 | + | 0.0363128i | ||||
\(286\) | 20.6697 | + | 10.3061i | 0.0722718 | + | 0.0360354i | ||||
\(287\) | 51.3075 | + | 8.12631i | 0.178772 | + | 0.0283147i | ||||
\(288\) | −111.383 | + | 265.590i | −0.386747 | + | 0.922186i | ||||
\(289\) | −172.482 | + | 237.401i | −0.596822 | + | 0.821455i | ||||
\(290\) | 115.593 | + | 219.034i | 0.398597 | + | 0.755290i | ||||
\(291\) | −2.46282 | − | 26.1658i | −0.00846330 | − | 0.0899168i | ||||
\(292\) | 231.238 | − | 239.432i | 0.791910 | − | 0.819974i | ||||
\(293\) | 186.220 | + | 186.220i | 0.635564 | + | 0.635564i | 0.949458 | − | 0.313894i | \(-0.101634\pi\) |
−0.313894 | + | 0.949458i | \(0.601634\pi\) | |||||||
\(294\) | −155.156 | + | 190.755i | −0.527741 | + | 0.648825i | ||||
\(295\) | −356.419 | + | 184.148i | −1.20820 | + | 0.624232i | ||||
\(296\) | −191.600 | − | 181.846i | −0.647296 | − | 0.614343i | ||||
\(297\) | −105.244 | + | 190.894i | −0.354357 | + | 0.642742i | ||||
\(298\) | −50.2052 | − | 150.058i | −0.168474 | − | 0.503552i | ||||
\(299\) | − | 47.3507i | − | 0.158364i | ||||||
\(300\) | −184.608 | + | 236.474i | −0.615360 | + | 0.788246i | ||||
\(301\) | −46.8834 | −0.155759 | ||||||||
\(302\) | 148.174 | − | 49.5748i | 0.490644 | − | 0.164155i | ||||
\(303\) | 264.039 | + | 416.428i | 0.871417 | + | 1.37435i | ||||
\(304\) | 92.1273 | + | 62.1525i | 0.303050 | + | 0.204449i | ||||
\(305\) | 325.932 | − | 329.636i | 1.06863 | − | 1.08077i | ||||
\(306\) | 150.377 | + | 407.552i | 0.491427 | + | 1.33187i | ||||
\(307\) | 165.390 | − | 165.390i | 0.538728 | − | 0.538728i | −0.384427 | − | 0.923155i | \(-0.625601\pi\) |
0.923155 | + | 0.384427i | \(0.125601\pi\) | |||||||
\(308\) | −63.5280 | + | 65.7794i | −0.206260 | + | 0.213569i | ||||
\(309\) | 16.4014 | + | 174.254i | 0.0530791 | + | 0.563929i | ||||
\(310\) | 308.589 | + | 44.3450i | 0.995447 | + | 0.143048i | ||||
\(311\) | −335.667 | − | 243.876i | −1.07931 | − | 0.784168i | −0.101751 | − | 0.994810i | \(-0.532444\pi\) |
−0.977563 | + | 0.210642i | \(0.932444\pi\) | |||||||
\(312\) | 6.62493 | − | 33.6843i | 0.0212338 | − | 0.107963i | ||||
\(313\) | 52.6921 | − | 332.685i | 0.168345 | − | 1.06289i | −0.748350 | − | 0.663304i | \(-0.769154\pi\) |
0.916696 | − | 0.399586i | \(-0.130846\pi\) | |||||||
\(314\) | 194.943 | − | 390.974i | 0.620839 | − | 1.24514i | ||||
\(315\) | −125.054 | + | 24.4843i | −0.396997 | + | 0.0777279i | ||||
\(316\) | −181.451 | − | 127.065i | −0.574211 | − | 0.402105i | ||||
\(317\) | 89.6982 | + | 176.043i | 0.282960 | + | 0.555340i | 0.988116 | − | 0.153713i | \(-0.0491230\pi\) |
−0.705156 | + | 0.709052i | \(0.749123\pi\) | |||||||
\(318\) | 329.818 | − | 145.989i | 1.03716 | − | 0.459083i | ||||
\(319\) | 61.7884 | − | 190.165i | 0.193694 | − | 0.596129i | ||||
\(320\) | 312.635 | − | 68.2576i | 0.976986 | − | 0.213305i | ||||
\(321\) | 270.481 | + | 60.5735i | 0.842620 | + | 0.188702i | ||||
\(322\) | 178.800 | + | 56.3799i | 0.555281 | + | 0.175093i | ||||
\(323\) | 165.564 | − | 26.2228i | 0.512583 | − | 0.0811852i | ||||
\(324\) | 315.055 | + | 75.6052i | 0.972393 | + | 0.233349i | ||||
\(325\) | 15.8737 | − | 32.0438i | 0.0488420 | − | 0.0985963i | ||||
\(326\) | 14.2181 | + | 84.9756i | 0.0436138 | + | 0.260661i | ||||
\(327\) | −41.8667 | − | 16.5956i | −0.128033 | − | 0.0507511i | ||||
\(328\) | 3.83191 | + | 146.707i | 0.0116826 | + | 0.447276i | ||||
\(329\) | −19.3975 | − | 59.6994i | −0.0589590 | − | 0.181457i | ||||
\(330\) | 240.788 | − | 26.1557i | 0.729661 | − | 0.0792598i | ||||
\(331\) | −145.824 | − | 47.3811i | −0.440556 | − | 0.143145i | 0.0803359 | − | 0.996768i | \(-0.474401\pi\) |
−0.520892 | + | 0.853622i | \(0.674401\pi\) | |||||||
\(332\) | 426.473 | + | 208.028i | 1.28456 | + | 0.626591i | ||||
\(333\) | −167.234 | + | 245.654i | −0.502204 | + | 0.737699i | ||||
\(334\) | 89.2547 | + | 87.7142i | 0.267230 | + | 0.262617i | ||||
\(335\) | −427.708 | + | 141.647i | −1.27674 | + | 0.422827i | ||||
\(336\) | 119.307 | + | 65.1238i | 0.355079 | + | 0.193821i | ||||
\(337\) | −373.887 | − | 59.2179i | −1.10946 | − | 0.175721i | −0.425298 | − | 0.905053i | \(-0.639831\pi\) |
−0.684159 | + | 0.729333i | \(0.739831\pi\) | |||||||
\(338\) | −2.90647 | − | 333.895i | −0.00859903 | − | 0.987856i | ||||
\(339\) | −53.6449 | + | 23.1887i | −0.158245 | + | 0.0684033i | ||||
\(340\) | 274.632 | − | 396.932i | 0.807740 | − | 1.16745i | ||||
\(341\) | −147.944 | − | 203.628i | −0.433854 | − | 0.597149i | ||||
\(342\) | 52.3368 | − | 113.542i | 0.153032 | − | 0.331994i | ||||
\(343\) | 180.173 | + | 180.173i | 0.525287 | + | 0.525287i | ||||
\(344\) | −24.1286 | − | 130.235i | −0.0701414 | − | 0.378589i | ||||
\(345\) | −268.260 | − | 417.846i | −0.777565 | − | 1.21115i | ||||
\(346\) | −137.476 | + | 71.5614i | −0.397328 | + | 0.206825i | ||||
\(347\) | 129.195 | − | 253.559i | 0.372319 | − | 0.730718i | −0.626494 | − | 0.779426i | \(-0.715511\pi\) |
0.998813 | + | 0.0487089i | \(0.0155106\pi\) | |||||||
\(348\) | −296.886 | − | 13.6138i | −0.853120 | − | 0.0391202i | ||||
\(349\) | − | 192.912i | − | 0.552756i | −0.961049 | − | 0.276378i | \(-0.910866\pi\) | ||
0.961049 | − | 0.276378i | \(-0.0891341\pi\) | |||||||
\(350\) | 102.100 | + | 98.0945i | 0.291713 | + | 0.280270i | ||||
\(351\) | −38.6003 | − | 1.25950i | −0.109972 | − | 0.00358831i | ||||
\(352\) | −215.420 | − | 142.617i | −0.611988 | − | 0.405163i | ||||
\(353\) | 126.668 | − | 248.600i | 0.358832 | − | 0.704248i | −0.639059 | − | 0.769158i | \(-0.720676\pi\) |
0.997891 | + | 0.0649099i | \(0.0206760\pi\) | |||||||
\(354\) | 26.2376 | − | 480.700i | 0.0741174 | − | 1.35791i | ||||
\(355\) | 589.827 | − | 96.8384i | 1.66148 | − | 0.272784i | ||||
\(356\) | 203.066 | − | 3.53555i | 0.570410 | − | 0.00993131i | ||||
\(357\) | 198.602 | − | 50.9075i | 0.556307 | − | 0.142598i | ||||
\(358\) | 324.833 | + | 439.007i | 0.907355 | + | 1.22628i | ||||
\(359\) | 124.034 | + | 170.718i | 0.345499 | + | 0.475539i | 0.946037 | − | 0.324057i | \(-0.105047\pi\) |
−0.600538 | + | 0.799596i | \(0.705047\pi\) | |||||||
\(360\) | −132.373 | − | 334.780i | −0.367703 | − | 0.929943i | ||||
\(361\) | 253.025 | + | 183.834i | 0.700901 | + | 0.509234i | ||||
\(362\) | −436.390 | + | 3.79866i | −1.20550 | + | 0.0104935i | ||||
\(363\) | 128.985 | + | 106.793i | 0.355330 | + | 0.294195i | ||||
\(364\) | −15.4939 | − | 4.73772i | −0.0425657 | − | 0.0130157i | ||||
\(365\) | 2.35069 | + | 416.074i | 0.00644026 | + | 1.13993i | ||||
\(366\) | 142.810 | + | 537.633i | 0.390191 | + | 1.46894i | ||||
\(367\) | 246.004 | + | 482.809i | 0.670309 | + | 1.31556i | 0.936171 | + | 0.351545i | \(0.114344\pi\) |
−0.265862 | + | 0.964011i | \(0.585656\pi\) | |||||||
\(368\) | −64.5946 | + | 525.696i | −0.175529 | + | 1.42852i | ||||
\(369\) | 162.202 | − | 30.8070i | 0.439571 | − | 0.0834877i | ||||
\(370\) | 330.161 | − | 4.73951i | 0.892326 | − | 0.0128095i | ||||
\(371\) | −52.6031 | − | 161.896i | −0.141787 | − | 0.436376i | ||||
\(372\) | −233.530 | + | 292.271i | −0.627768 | + | 0.785675i | ||||
\(373\) | 208.214 | − | 32.9779i | 0.558215 | − | 0.0884125i | 0.129049 | − | 0.991638i | \(-0.458808\pi\) |
0.429166 | + | 0.903226i | \(0.358808\pi\) | |||||||
\(374\) | −384.346 | + | 64.3087i | −1.02766 | + | 0.171948i | ||||
\(375\) | −41.4636 | − | 372.701i | −0.110570 | − | 0.993868i | ||||
\(376\) | 155.853 | − | 84.6078i | 0.414502 | − | 0.225021i | ||||
\(377\) | 34.9898 | − | 5.54184i | 0.0928112 | − | 0.0146998i | ||||
\(378\) | 50.7168 | − | 144.258i | 0.134172 | − | 0.381636i | ||||
\(379\) | 103.312 | + | 317.963i | 0.272592 | + | 0.838953i | 0.989846 | + | 0.142141i | \(0.0453987\pi\) |
−0.717254 | + | 0.696812i | \(0.754601\pi\) | |||||||
\(380\) | −136.668 | + | 24.8889i | −0.359651 | + | 0.0654970i | ||||
\(381\) | 1.38637 | − | 1.22127i | 0.00363878 | − | 0.00320542i | ||||
\(382\) | −241.957 | − | 172.594i | −0.633394 | − | 0.451817i | ||||
\(383\) | 103.641 | + | 203.407i | 0.270603 | + | 0.531088i | 0.985818 | − | 0.167816i | \(-0.0536714\pi\) |
−0.715215 | + | 0.698904i | \(0.753671\pi\) | |||||||
\(384\) | −119.502 | + | 364.932i | −0.311204 | + | 0.950343i | ||||
\(385\) | −0.645807 | − | 114.308i | −0.00167742 | − | 0.296904i | ||||
\(386\) | −554.322 | − | 276.390i | −1.43607 | − | 0.716037i | ||||
\(387\) | −140.239 | + | 50.3621i | −0.362374 | + | 0.130135i | ||||
\(388\) | −6.08344 | − | 34.5098i | −0.0156790 | − | 0.0889428i | ||||
\(389\) | −345.477 | − | 251.003i | −0.888115 | − | 0.645253i | 0.0472711 | − | 0.998882i | \(-0.484948\pi\) |
−0.935386 | + | 0.353629i | \(0.884948\pi\) | |||||||
\(390\) | 23.4967 | + | 35.9075i | 0.0602480 | + | 0.0920704i | ||||
\(391\) | 469.585 | + | 646.329i | 1.20099 | + | 1.65301i | ||||
\(392\) | −185.714 | + | 270.177i | −0.473761 | + | 0.689228i | ||||
\(393\) | 37.4077 | + | 145.936i | 0.0951849 | + | 0.371338i | ||||
\(394\) | 66.4287 | − | 444.418i | 0.168601 | − | 1.12796i | ||||
\(395\) | 273.238 | − | 44.8606i | 0.691743 | − | 0.113571i | ||||
\(396\) | −119.366 | + | 265.003i | −0.301430 | + | 0.669198i | ||||
\(397\) | 37.1975 | − | 73.0041i | 0.0936964 | − | 0.183889i | −0.839402 | − | 0.543512i | \(-0.817094\pi\) |
0.933098 | + | 0.359622i | \(0.117094\pi\) | |||||||
\(398\) | 234.650 | + | 701.348i | 0.589574 | + | 1.76218i | ||||
\(399\) | −50.7768 | − | 30.0568i | −0.127260 | − | 0.0753302i | ||||
\(400\) | −219.946 | + | 334.102i | −0.549864 | + | 0.835254i | ||||
\(401\) | − | 720.767i | − | 1.79743i | −0.438538 | − | 0.898713i | \(-0.644504\pi\) | ||
0.438538 | − | 0.898713i | \(-0.355496\pi\) | |||||||
\(402\) | 113.557 | − | 528.604i | 0.282479 | − | 1.31493i | ||||
\(403\) | 20.2452 | − | 39.7335i | 0.0502363 | − | 0.0985943i | ||||
\(404\) | 395.635 | + | 525.073i | 0.979294 | + | 1.29969i | ||||
\(405\) | −347.763 | + | 207.571i | −0.858675 | + | 0.512521i | ||||
\(406\) | −20.7355 | + | 138.723i | −0.0510726 | + | 0.341683i | ||||
\(407\) | −188.502 | − | 188.502i | −0.463150 | − | 0.463150i | ||||
\(408\) | 243.624 | + | 525.485i | 0.597118 | + | 1.28795i | ||||
\(409\) | 383.304 | + | 527.573i | 0.937175 | + | 1.28991i | 0.956994 | + | 0.290107i | \(0.0936908\pi\) |
−0.0198197 | + | 0.999804i | \(0.506309\pi\) | |||||||
\(410\) | −131.564 | − | 127.841i | −0.320889 | − | 0.311806i | ||||
\(411\) | −246.735 | − | 570.797i | −0.600328 | − | 1.38880i | ||||
\(412\) | 40.5134 | + | 229.822i | 0.0983334 | + | 0.557821i | ||||
\(413\) | −224.410 | − | 35.5430i | −0.543366 | − | 0.0860607i | ||||
\(414\) | 595.396 | − | 23.4226i | 1.43815 | − | 0.0565764i | ||||
\(415\) | −563.057 | + | 186.472i | −1.35676 | + | 0.449329i | ||||
\(416\) | 5.18666 | − | 45.4780i | 0.0124679 | − | 0.109322i | ||||
\(417\) | −594.405 | − | 37.6358i | −1.42543 | − | 0.0902538i | ||||
\(418\) | 91.3041 | + | 65.1296i | 0.218431 | + | 0.155812i | ||||
\(419\) | 703.225 | + | 228.492i | 1.67834 | + | 0.545326i | 0.984588 | − | 0.174888i | \(-0.0559564\pi\) |
0.693752 | + | 0.720214i | \(0.255956\pi\) | |||||||
\(420\) | −163.567 | + | 45.9711i | −0.389445 | + | 0.109455i | ||||
\(421\) | −68.0307 | − | 209.377i | −0.161593 | − | 0.497333i | 0.837176 | − | 0.546934i | \(-0.184205\pi\) |
−0.998769 | + | 0.0496010i | \(0.984205\pi\) | |||||||
\(422\) | −360.239 | − | 113.592i | −0.853648 | − | 0.269175i | ||||
\(423\) | −122.151 | − | 157.737i | −0.288774 | − | 0.372902i | ||||
\(424\) | 422.649 | − | 229.443i | 0.996813 | − | 0.541139i | ||||
\(425\) | 101.111 | + | 594.814i | 0.237909 | + | 1.39956i | ||||
\(426\) | −258.497 | + | 669.069i | −0.606801 | + | 1.57058i | ||||
\(427\) | 259.306 | − | 41.0701i | 0.607275 | − | 0.0961829i | ||||
\(428\) | 365.975 | + | 51.4510i | 0.855083 | + | 0.120213i | ||||
\(429\) | 7.57110 | − | 33.8075i | 0.0176482 | − | 0.0788054i | ||||
\(430\) | 135.327 | + | 95.3833i | 0.314714 | + | 0.221822i | ||||
\(431\) | −80.8621 | + | 248.868i | −0.187615 | + | 0.577420i | −0.999984 | − | 0.00572439i | \(-0.998178\pi\) |
0.812368 | + | 0.583144i | \(0.198178\pi\) | |||||||
\(432\) | 426.829 | + | 66.6406i | 0.988030 | + | 0.154261i | ||||
\(433\) | −171.280 | − | 336.155i | −0.395565 | − | 0.776340i | 0.604225 | − | 0.796813i | \(-0.293483\pi\) |
−0.999790 | + | 0.0204733i | \(0.993483\pi\) | |||||||
\(434\) | 125.932 | + | 123.758i | 0.290165 | + | 0.285157i | ||||
\(435\) | 277.371 | − | 247.135i | 0.637634 | − | 0.568126i | ||||
\(436\) | −57.4234 | − | 17.5589i | −0.131705 | − | 0.0402726i | ||||
\(437\) | 35.9684 | − | 227.096i | 0.0823076 | − | 0.519670i | ||||
\(438\) | −431.861 | − | 250.585i | −0.985985 | − | 0.572113i | ||||
\(439\) | −531.533 | − | 386.182i | −1.21078 | − | 0.879685i | −0.215480 | − | 0.976508i | \(-0.569132\pi\) |
−0.995302 | + | 0.0968235i | \(0.969132\pi\) | |||||||
\(440\) | 317.198 | − | 60.6229i | 0.720905 | − | 0.137779i | ||||
\(441\) | 333.603 | + | 157.308i | 0.756468 | + | 0.356708i | ||||
\(442\) | −41.0666 | − | 55.5009i | −0.0929109 | − | 0.125568i | ||||
\(443\) | −112.568 | + | 112.568i | −0.254103 | + | 0.254103i | −0.822651 | − | 0.568547i | \(-0.807506\pi\) |
0.568547 | + | 0.822651i | \(0.307506\pi\) | |||||||
\(444\) | −195.870 | + | 344.436i | −0.441148 | + | 0.775757i | ||||
\(445\) | −178.497 | + | 180.525i | −0.401117 | + | 0.405675i | ||||
\(446\) | −4.58321 | + | 2.38574i | −0.0102762 | + | 0.00534919i | ||||
\(447\) | −200.453 | + | 127.099i | −0.448441 | + | 0.284338i | ||||
\(448\) | 165.553 | + | 73.7354i | 0.369539 | + | 0.164588i | ||||
\(449\) | −435.100 | −0.969042 | −0.484521 | − | 0.874780i | \(-0.661006\pi\) | ||||
−0.484521 | + | 0.874780i | \(0.661006\pi\) | |||||||
\(450\) | 410.776 | + | 183.747i | 0.912836 | + | 0.408327i | ||||
\(451\) | 148.105i | 0.328392i | ||||||||
\(452\) | −68.8035 | + | 36.5796i | −0.152220 | + | 0.0809282i | ||||
\(453\) | −125.503 | − | 197.937i | −0.277049 | − | 0.436946i | ||||
\(454\) | 67.4360 | − | 35.1031i | 0.148537 | − | 0.0773195i | ||||
\(455\) | 17.9930 | − | 9.29629i | 0.0395450 | − | 0.0204314i | ||||
\(456\) | 57.3606 | − | 156.519i | 0.125791 | − | 0.343243i | ||||
\(457\) | −65.4711 | − | 65.4711i | −0.143263 | − | 0.143263i | 0.631838 | − | 0.775101i | \(-0.282301\pi\) |
−0.775101 | + | 0.631838i | \(0.782301\pi\) | |||||||
\(458\) | −120.129 | − | 162.353i | −0.262291 | − | 0.354482i | ||||
\(459\) | 539.377 | − | 365.614i | 1.17511 | − | 0.796544i | ||||
\(460\) | −401.397 | − | 526.505i | −0.872601 | − | 1.14458i | ||||
\(461\) | 298.809 | − | 411.276i | 0.648176 | − | 0.892138i | −0.350842 | − | 0.936435i | \(-0.614105\pi\) |
0.999018 | + | 0.0442963i | \(0.0141046\pi\) | |||||||
\(462\) | 118.645 | + | 68.8434i | 0.256808 | + | 0.149012i | ||||
\(463\) | −737.463 | − | 116.803i | −1.59279 | − | 0.252273i | −0.703869 | − | 0.710330i | \(-0.748546\pi\) |
−0.888923 | + | 0.458057i | \(0.848546\pi\) | |||||||
\(464\) | −396.023 | + | 13.7944i | −0.853498 | + | 0.0297292i | ||||
\(465\) | −46.4518 | − | 465.325i | −0.0998963 | − | 1.00070i | ||||
\(466\) | 280.415 | + | 275.576i | 0.601750 | + | 0.591364i | ||||
\(467\) | −392.504 | + | 199.991i | −0.840480 | + | 0.428246i | −0.820563 | − | 0.571556i | \(-0.806340\pi\) |
−0.0199168 | + | 0.999802i | \(0.506340\pi\) | |||||||
\(468\) | −51.4350 | + | 2.47201i | −0.109904 | + | 0.00528207i | ||||
\(469\) | −242.681 | − | 78.8518i | −0.517443 | − | 0.168127i | ||||
\(470\) | −65.4672 | + | 211.784i | −0.139292 | + | 0.450604i | ||||
\(471\) | −639.480 | − | 143.210i | −1.35771 | − | 0.304054i | ||||
\(472\) | −16.7601 | − | 641.669i | −0.0355086 | − | 1.35947i | ||||
\(473\) | −20.9102 | − | 132.022i | −0.0442076 | − | 0.279116i | ||||
\(474\) | −119.749 | + | 309.947i | −0.252636 | + | 0.653897i | ||||
\(475\) | 100.472 | − | 141.625i | 0.211519 | − | 0.298159i | ||||
\(476\) | 258.474 | − | 88.9870i | 0.543013 | − | 0.186947i | ||||
\(477\) | −331.256 | − | 427.760i | −0.694456 | − | 0.896770i | ||||
\(478\) | −185.665 | − | 58.5443i | −0.388420 | − | 0.122478i | ||||
\(479\) | 856.665 | − | 278.347i | 1.78845 | − | 0.581101i | 0.789000 | − | 0.614394i | \(-0.210599\pi\) |
0.999446 | + | 0.0332924i | \(0.0105993\pi\) | |||||||
\(480\) | −211.881 | − | 430.705i | −0.441418 | − | 0.897301i | ||||
\(481\) | 14.5952 | − | 44.9194i | 0.0303434 | − | 0.0933875i | ||||
\(482\) | −639.896 | − | 456.455i | −1.32759 | − | 0.947002i | ||||
\(483\) | 17.7703 | − | 280.656i | 0.0367914 | − | 0.581069i | ||||
\(484\) | 182.891 | + | 128.074i | 0.377874 | + | 0.264615i | ||||
\(485\) | 35.5818 | + | 25.5458i | 0.0733645 | + | 0.0526717i | ||||
\(486\) | −3.25700 | − | 485.989i | −0.00670165 | − | 0.999978i | ||||
\(487\) | 109.677 | − | 692.476i | 0.225210 | − | 1.42192i | −0.573006 | − | 0.819551i | \(-0.694223\pi\) |
0.798216 | − | 0.602371i | \(-0.205777\pi\) | |||||||
\(488\) | 247.539 | + | 699.176i | 0.507252 | + | 1.43274i | ||||
\(489\) | 118.627 | − | 51.2780i | 0.242591 | − | 0.104863i | ||||
\(490\) | −69.9121 | − | 403.805i | −0.142678 | − | 0.824092i | ||||
\(491\) | 408.526 | − | 296.811i | 0.832028 | − | 0.604504i | −0.0881045 | − | 0.996111i | \(-0.528081\pi\) |
0.920132 | + | 0.391608i | \(0.128081\pi\) | |||||||
\(492\) | 212.257 | − | 58.3638i | 0.431417 | − | 0.118626i | ||||
\(493\) | −422.645 | + | 422.645i | −0.857292 | + | 0.857292i | ||||
\(494\) | −2.93748 | + | 19.6521i | −0.00594631 | + | 0.0397816i | ||||
\(495\) | −124.722 | − | 341.227i | −0.251963 | − | 0.689348i | ||||
\(496\) | −278.970 | + | 413.511i | −0.562439 | + | 0.833691i | ||||
\(497\) | 301.623 | + | 153.685i | 0.606888 | + | 0.309225i | ||||
\(498\) | 149.492 | − | 695.882i | 0.300184 | − | 1.39735i | ||||
\(499\) | −594.874 | −1.19213 | −0.596066 | − | 0.802935i | \(-0.703271\pi\) | ||||
−0.596066 | + | 0.802935i | \(0.703271\pi\) | |||||||
\(500\) | −95.1352 | − | 490.866i | −0.190270 | − | 0.981732i | ||||
\(501\) | 95.6174 | − | 161.532i | 0.190853 | − | 0.322420i | ||||
\(502\) | −5.95734 | − | 17.8059i | −0.0118672 | − | 0.0354700i | ||||
\(503\) | 821.116 | + | 418.379i | 1.63244 | + | 0.831768i | 0.998284 | + | 0.0585605i | \(0.0186511\pi\) |
0.634153 | + | 0.773208i | \(0.281349\pi\) | |||||||
\(504\) | 51.9086 | − | 197.167i | 0.102993 | − | 0.391204i | ||||
\(505\) | −812.397 | − | 123.970i | −1.60871 | − | 0.245486i | ||||
\(506\) | −79.0180 | + | 528.642i | −0.156162 | + | 1.04475i | ||||
\(507\) | −485.176 | + | 124.365i | −0.956955 | + | 0.245296i | ||||
\(508\) | 1.71132 | − | 1.77197i | 0.00336874 | − | 0.00348812i | ||||
\(509\) | 195.492 | − | 142.033i | 0.384070 | − | 0.279043i | −0.378951 | − | 0.925417i | \(-0.623715\pi\) |
0.763021 | + | 0.646373i | \(0.223715\pi\) | |||||||
\(510\) | −676.826 | − | 257.109i | −1.32711 | − | 0.504136i | ||||
\(511\) | −138.510 | + | 190.642i | −0.271056 | + | 0.373076i | ||||
\(512\) | −119.623 | + | 497.830i | −0.233639 | + | 0.972323i | ||||
\(513\) | −184.172 | − | 35.3620i | −0.359009 | − | 0.0689318i | ||||
\(514\) | 38.2318 | + | 19.0627i | 0.0743809 | + | 0.0370870i | ||||
\(515\) | −236.961 | − | 170.125i | −0.460118 | − | 0.330340i | ||||
\(516\) | −180.968 | + | 81.9937i | −0.350713 | + | 0.158902i | ||||
\(517\) | 159.460 | − | 81.2490i | 0.308433 | − | 0.157155i | ||||
\(518\) | 152.241 | + | 108.598i | 0.293902 | + | 0.209648i | ||||
\(519\) | 153.671 | + | 174.446i | 0.296091 | + | 0.336120i | ||||
\(520\) | 35.0838 | + | 45.1973i | 0.0674688 | + | 0.0869180i | ||||
\(521\) | 130.465 | − | 42.3905i | 0.250412 | − | 0.0813638i | −0.181121 | − | 0.983461i | \(-0.557973\pi\) |
0.431533 | + | 0.902097i | \(0.357973\pi\) | |||||||
\(522\) | 86.9922 | + | 437.226i | 0.166652 | + | 0.837598i | ||||
\(523\) | −142.527 | − | 899.881i | −0.272518 | − | 1.72061i | −0.621440 | − | 0.783462i | \(-0.713452\pi\) |
0.348921 | − | 0.937152i | \(-0.386548\pi\) | |||||||
\(524\) | 65.3891 | + | 189.931i | 0.124788 | + | 0.362464i | ||||
\(525\) | 106.112 | − | 183.972i | 0.202118 | − | 0.350423i | ||||
\(526\) | −27.1306 | + | 4.53948i | −0.0515790 | + | 0.00863020i | ||||
\(527\) | 117.700 | + | 743.131i | 0.223340 | + | 1.41012i | ||||
\(528\) | −130.175 | + | 365.009i | −0.246544 | + | 0.691305i | ||||
\(529\) | 539.074 | − | 175.156i | 1.01904 | − | 0.331107i | ||||
\(530\) | −177.537 | + | 574.325i | −0.334975 | + | 1.08363i | ||||
\(531\) | −709.441 | + | 134.744i | −1.33605 | + | 0.253755i | ||||
\(532\) | −70.7106 | − | 34.4917i | −0.132915 | − | 0.0648341i | ||||
\(533\) | −23.3801 | + | 11.9128i | −0.0438651 | + | 0.0223504i | ||||
\(534\) | −78.2099 | − | 294.435i | −0.146460 | − | 0.551377i | ||||
\(535\) | −372.200 | + | 273.645i | −0.695701 | + | 0.511486i | ||||
\(536\) | 94.1418 | − | 714.711i | 0.175638 | − | 1.33342i | ||||
\(537\) | 522.415 | − | 630.977i | 0.972840 | − | 1.17500i | ||||
\(538\) | −447.852 | + | 3.89843i | −0.832438 | + | 0.00724616i | ||||
\(539\) | −194.475 | + | 267.672i | −0.360808 | + | 0.496609i | ||||
\(540\) | −439.883 | + | 313.214i | −0.814599 | + | 0.580025i | ||||
\(541\) | −546.077 | + | 396.748i | −1.00939 | + | 0.733361i | −0.964080 | − | 0.265612i | \(-0.914426\pi\) |
−0.0453051 | + | 0.998973i | \(0.514426\pi\) | |||||||
\(542\) | −72.2513 | − | 97.6466i | −0.133305 | − | 0.180160i | ||||
\(543\) | 162.541 | + | 634.109i | 0.299338 | + | 1.16779i | ||||
\(544\) | 380.216 | + | 672.203i | 0.698927 | + | 1.23567i | ||||
\(545\) | 66.6853 | − | 34.4538i | 0.122358 | − | 0.0632180i | ||||
\(546\) | −1.32454 | + | 24.2670i | −0.00242590 | + | 0.0444451i | ||||
\(547\) | 181.343 | + | 92.3991i | 0.331524 | + | 0.168920i | 0.611827 | − | 0.790992i | \(-0.290435\pi\) |
−0.280303 | + | 0.959912i | \(0.590435\pi\) | |||||||
\(548\) | −389.217 | − | 732.089i | −0.710251 | − | 1.33593i | ||||
\(549\) | 731.526 | − | 401.397i | 1.33247 | − | 0.731142i | ||||
\(550\) | −230.694 | + | 331.260i | −0.419443 | + | 0.602291i | ||||
\(551\) | 172.022 | 0.312200 | ||||||||
\(552\) | 788.765 | − | 95.0774i | 1.42892 | − | 0.172242i | ||||
\(553\) | 139.727 | + | 71.1947i | 0.252672 | + | 0.128743i | ||||
\(554\) | 919.799 | − | 478.791i | 1.66029 | − | 0.864244i | ||||
\(555\) | −125.691 | − | 479.078i | −0.226469 | − | 0.863204i | ||||
\(556\) | −794.007 | + | 13.8243i | −1.42807 | + | 0.0248639i | ||||
\(557\) | −631.064 | + | 631.064i | −1.13297 | + | 1.13297i | −0.143288 | + | 0.989681i | \(0.545767\pi\) |
−0.989681 | + | 0.143288i | \(0.954233\pi\) | |||||||
\(558\) | 509.630 | + | 234.912i | 0.913316 | + | 0.420990i | ||||
\(559\) | 19.1593 | − | 13.9201i | 0.0342743 | − | 0.0249017i | ||||
\(560\) | −212.443 | + | 78.6636i | −0.379363 | + | 0.140471i | ||||
\(561\) | 231.931 | + | 536.551i | 0.413424 | + | 0.956418i | ||||
\(562\) | 7.86613 | + | 903.660i | 0.0139967 | + | 1.60794i | ||||
\(563\) | −55.9844 | + | 353.471i | −0.0994394 | + | 0.627836i | 0.886754 | + | 0.462241i | \(0.152954\pi\) |
−0.986194 | + | 0.165595i | \(0.947046\pi\) | |||||||
\(564\) | −179.281 | − | 196.513i | −0.317874 | − | 0.348428i | ||||
\(565\) | 29.5756 | − | 92.8050i | 0.0523461 | − | 0.164257i | ||||
\(566\) | −642.549 | − | 631.459i | −1.13525 | − | 1.11565i | ||||
\(567\) | −228.318 | − | 21.9516i | −0.402677 | − | 0.0387153i | ||||
\(568\) | −271.681 | + | 916.957i | −0.478312 | + | 1.61436i | ||||
\(569\) | −78.2847 | + | 240.936i | −0.137583 | + | 0.423437i | −0.995983 | − | 0.0895443i | \(-0.971459\pi\) |
0.858400 | + | 0.512981i | \(0.171459\pi\) | |||||||
\(570\) | 85.4152 | + | 190.062i | 0.149851 | + | 0.333442i | ||||
\(571\) | 93.5073 | − | 30.3824i | 0.163761 | − | 0.0532090i | −0.225989 | − | 0.974130i | \(-0.572561\pi\) |
0.389750 | + | 0.920921i | \(0.372561\pi\) | |||||||
\(572\) | 6.43088 | − | 45.7434i | 0.0112428 | − | 0.0799710i | ||||
\(573\) | −164.280 | + | 414.438i | −0.286701 | + | 0.723277i | ||||
\(574\) | −17.1452 | − | 102.470i | −0.0298697 | − | 0.178519i | ||||
\(575\) | 818.800 | + | 120.218i | 1.42400 | + | 0.209074i | ||||
\(576\) | 574.413 | + | 42.7216i | 0.997246 | + | 0.0741695i | ||||
\(577\) | 73.6437 | + | 464.968i | 0.127632 | + | 0.805837i | 0.965584 | + | 0.260093i | \(0.0837531\pi\) |
−0.837952 | + | 0.545745i | \(0.816247\pi\) | |||||||
\(578\) | 559.720 | + | 176.493i | 0.968373 | + | 0.305351i | ||||
\(579\) | −203.042 | + | 906.653i | −0.350678 | + | 1.56589i | ||||
\(580\) | 342.082 | − | 358.233i | 0.589797 | − | 0.617643i | ||||
\(581\) | −319.478 | − | 103.805i | −0.549876 | − | 0.178665i | ||||
\(582\) | −48.0648 | + | 21.2751i | −0.0825856 | + | 0.0365551i | ||||
\(583\) | 432.431 | − | 220.335i | 0.741734 | − | 0.377932i | ||||
\(584\) | −600.858 | − | 286.644i | −1.02887 | − | 0.490828i | ||||
\(585\) | 43.8349 | − | 47.1354i | 0.0749315 | − | 0.0805732i | ||||
\(586\) | 235.027 | − | 471.366i | 0.401071 | − | 0.804379i | ||||
\(587\) | 399.534 | + | 63.2799i | 0.680637 | + | 0.107802i | 0.487173 | − | 0.873305i | \(-0.338028\pi\) |
0.193463 | + | 0.981108i | \(0.438028\pi\) | |||||||
\(588\) | 460.254 | + | 173.232i | 0.782744 | + | 0.294612i | ||||
\(589\) | 127.279 | − | 175.185i | 0.216094 | − | 0.297427i | ||||
\(590\) | 575.439 | + | 559.152i | 0.975320 | + | 0.947715i | ||||
\(591\) | −671.066 | + | 63.1633i | −1.13548 | + | 0.106875i | ||||
\(592\) | −223.316 | + | 478.793i | −0.377224 | + | 0.808772i | ||||
\(593\) | 16.5087 | + | 16.5087i | 0.0278393 | + | 0.0278393i | 0.720889 | − | 0.693050i | \(-0.243734\pi\) |
−0.693050 | + | 0.720889i | \(0.743734\pi\) | |||||||
\(594\) | 428.847 | + | 78.4769i | 0.721964 | + | 0.132116i | ||||
\(595\) | −153.408 | + | 305.332i | −0.257828 | + | 0.513163i | ||||
\(596\) | −252.751 | + | 190.444i | −0.424080 | + | 0.319537i | ||||
\(597\) | 936.885 | − | 594.039i | 1.56932 | − | 0.995041i | ||||
\(598\) | −89.8083 | + | 30.0472i | −0.150181 | + | 0.0502462i | ||||
\(599\) | − | 179.978i | − | 0.300465i | −0.988651 | − | 0.150232i | \(-0.951998\pi\) | ||
0.988651 | − | 0.150232i | \(-0.0480022\pi\) | |||||||
\(600\) | 565.657 | + | 200.080i | 0.942762 | + | 0.333467i | ||||
\(601\) | −660.383 | −1.09881 | −0.549404 | − | 0.835557i | \(-0.685145\pi\) | ||||
−0.549404 | + | 0.835557i | \(0.685145\pi\) | |||||||
\(602\) | 29.7506 | + | 88.9219i | 0.0494197 | + | 0.147711i | ||||
\(603\) | −810.615 | + | 24.8246i | −1.34430 | + | 0.0411684i | ||||
\(604\) | −188.053 | − | 249.578i | −0.311347 | − | 0.413209i | ||||
\(605\) | −275.407 | + | 45.2167i | −0.455219 | + | 0.0747383i | ||||
\(606\) | 622.272 | − | 765.044i | 1.02685 | − | 1.26245i | ||||
\(607\) | −277.106 | + | 277.106i | −0.456517 | + | 0.456517i | −0.897510 | − | 0.440993i | \(-0.854626\pi\) |
0.440993 | + | 0.897510i | \(0.354626\pi\) | |||||||
\(608\) | 59.4213 | − | 214.174i | 0.0977324 | − | 0.352260i | ||||
\(609\) | 209.471 | − | 19.7162i | 0.343959 | − | 0.0323746i | ||||
\(610\) | −832.034 | − | 409.007i | −1.36399 | − | 0.670503i | ||||
\(611\) | 25.6523 | + | 18.6375i | 0.0419841 | + | 0.0305032i | ||||
\(612\) | 677.564 | − | 543.833i | 1.10713 | − | 0.888616i | ||||
\(613\) | −155.864 | + | 984.084i | −0.254264 | + | 1.60536i | 0.448399 | + | 0.893834i | \(0.351994\pi\) |
−0.702662 | + | 0.711523i | \(0.748006\pi\) | |||||||
\(614\) | −418.639 | − | 208.737i | −0.681822 | − | 0.339963i | ||||
\(615\) | −138.827 | + | 237.581i | −0.225735 | + | 0.386311i | ||||
\(616\) | 165.074 | + | 78.7497i | 0.267977 | + | 0.127840i | ||||
\(617\) | −185.936 | − | 364.919i | −0.301354 | − | 0.591441i | 0.689824 | − | 0.723977i | \(-0.257688\pi\) |
−0.991178 | + | 0.132536i | \(0.957688\pi\) | |||||||
\(618\) | 320.093 | − | 141.684i | 0.517950 | − | 0.229262i | ||||
\(619\) | 258.179 | − | 794.592i | 0.417090 | − | 1.28367i | −0.493279 | − | 0.869871i | \(-0.664202\pi\) |
0.910368 | − | 0.413799i | \(-0.135798\pi\) | |||||||
\(620\) | −111.713 | − | 613.428i | −0.180182 | − | 0.989400i | ||||
\(621\) | −248.326 | − | 858.594i | −0.399881 | − | 1.38260i | ||||
\(622\) | −249.547 | + | 791.402i | −0.401201 | + | 1.27235i | ||||
\(623\) | −142.009 | + | 22.4921i | −0.227944 | + | 0.0361028i | ||||
\(624\) | −68.0917 | + | 8.80971i | −0.109121 | + | 0.0141181i | ||||
\(625\) | 513.808 | + | 355.846i | 0.822092 | + | 0.569354i | ||||
\(626\) | −664.427 | + | 111.172i | −1.06138 | + | 0.177591i | ||||
\(627\) | 61.9921 | − | 156.391i | 0.0988709 | − | 0.249428i | ||||
\(628\) | −865.250 | − | 121.642i | −1.37779 | − | 0.193698i | ||||
\(629\) | 246.252 | + | 757.885i | 0.391497 | + | 1.20490i | ||||
\(630\) | 125.794 | + | 221.648i | 0.199672 | + | 0.351822i | ||||
\(631\) | −199.582 | − | 64.8481i | −0.316295 | − | 0.102770i | 0.146567 | − | 0.989201i | \(-0.453178\pi\) |
−0.462862 | + | 0.886430i | \(0.653178\pi\) | |||||||
\(632\) | −125.857 | + | 424.782i | −0.199140 | + | 0.672123i | ||||
\(633\) | −35.8027 | + | 565.454i | −0.0565604 | + | 0.893292i | ||||
\(634\) | 276.974 | − | 281.838i | 0.436867 | − | 0.444540i | ||||
\(635\) | 0.0173968 | + | 3.07924i | 2.73965e−5 | + | 0.00484919i | ||||
\(636\) | −486.183 | − | 532.914i | −0.764438 | − | 0.837915i | ||||
\(637\) | −57.8979 | − | 9.17012i | −0.0908915 | − | 0.0143958i | ||||
\(638\) | −399.888 | + | 3.48092i | −0.626784 | + | 0.00545599i | ||||
\(639\) | 1067.31 | + | 135.701i | 1.67028 | + | 0.212365i | ||||
\(640\) | −327.850 | − | 549.650i | −0.512265 | − | 0.858827i | ||||
\(641\) | 680.771 | + | 937.001i | 1.06205 | + | 1.46178i | 0.877877 | + | 0.478886i | \(0.158959\pi\) |
0.184169 | + | 0.982895i | \(0.441041\pi\) | |||||||
\(642\) | −56.7511 | − | 551.449i | −0.0883974 | − | 0.858955i | ||||
\(643\) | −284.356 | − | 284.356i | −0.442233 | − | 0.442233i | 0.450529 | − | 0.892762i | \(-0.351235\pi\) |
−0.892762 | + | 0.450529i | \(0.851235\pi\) | |||||||
\(644\) | −6.52733 | − | 374.901i | −0.0101356 | − | 0.582144i | ||||
\(645\) | 90.2088 | − | 231.383i | 0.139859 | − | 0.358733i | ||||
\(646\) | −154.798 | − | 297.379i | −0.239625 | − | 0.460340i | ||||
\(647\) | −352.736 | + | 692.283i | −0.545187 | + | 1.06999i | 0.439918 | + | 0.898038i | \(0.355007\pi\) |
−0.985105 | + | 0.171952i | \(0.944993\pi\) | |||||||
\(648\) | −56.5264 | − | 645.530i | −0.0872322 | − | 0.996188i | ||||
\(649\) | − | 647.783i | − | 0.998125i | ||||||
\(650\) | −70.8491 | − | 9.77299i | −0.108999 | − | 0.0150354i | ||||
\(651\) | 134.909 | − | 227.910i | 0.207233 | − | 0.350092i | ||||
\(652\) | 152.148 | − | 80.8896i | 0.233355 | − | 0.124064i | ||||
\(653\) | −140.528 | + | 275.801i | −0.215203 | + | 0.422360i | −0.973220 | − | 0.229875i | \(-0.926168\pi\) |
0.758017 | + | 0.652235i | \(0.226168\pi\) | |||||||
\(654\) | −4.90900 | + | 89.9381i | −0.00750612 | + | 0.137520i | ||||
\(655\) | −224.363 | − | 112.727i | −0.342539 | − | 0.172102i | ||||
\(656\) | 275.821 | − | 100.363i | 0.420459 | − | 0.152992i | ||||
\(657\) | −209.525 | + | 719.040i | −0.318912 | + | 1.09443i | ||||
\(658\) | −100.921 | + | 74.6738i | −0.153375 | + | 0.113486i | ||||
\(659\) | −699.521 | − | 962.808i | −1.06149 | − | 1.46101i | −0.878405 | − | 0.477917i | \(-0.841392\pi\) |
−0.183084 | − | 0.983097i | \(-0.558608\pi\) | |||||||
\(660\) | −202.405 | − | 440.096i | −0.306674 | − | 0.666812i | ||||
\(661\) | 600.494 | + | 436.284i | 0.908463 | + | 0.660037i | 0.940626 | − | 0.339446i | \(-0.110239\pi\) |
−0.0321628 | + | 0.999483i | \(0.510239\pi\) | |||||||
\(662\) | 2.66927 | + | 306.646i | 0.00403213 | + | 0.463211i | ||||
\(663\) | −66.0457 | + | 79.7704i | −0.0996164 | + | 0.120317i | ||||
\(664\) | 123.933 | − | 940.883i | 0.186646 | − | 1.41699i | ||||
\(665\) | 93.3566 | − | 30.9176i | 0.140386 | − | 0.0464926i | ||||
\(666\) | 572.044 | + | 161.302i | 0.858924 | + | 0.242196i | ||||
\(667\) | 372.203 | + | 730.489i | 0.558025 | + | 1.09519i | ||||
\(668\) | 109.726 | − | 224.946i | 0.164261 | − | 0.336746i | ||||
\(669\) | 5.12313 | + | 5.81575i | 0.00765790 | + | 0.00869320i | ||||
\(670\) | 540.066 | + | 721.332i | 0.806069 | + | 1.07662i | ||||
\(671\) | 231.304 | + | 711.880i | 0.344715 | + | 1.06092i | ||||
\(672\) | 47.8097 | − | 267.610i | 0.0711454 | − | 0.398229i | ||||
\(673\) | 703.507 | − | 111.425i | 1.04533 | − | 0.165564i | 0.389929 | − | 0.920845i | \(-0.372499\pi\) |
0.655401 | + | 0.755281i | \(0.272499\pi\) | |||||||
\(674\) | 124.940 | + | 746.715i | 0.185371 | + | 1.10789i | ||||
\(675\) | 119.781 | − | 664.287i | 0.177453 | − | 0.984129i | ||||
\(676\) | −631.442 | + | 217.392i | −0.934086 | + | 0.321585i | ||||
\(677\) | −1152.88 | + | 182.599i | −1.70293 | + | 0.269717i | −0.930741 | − | 0.365678i | \(-0.880837\pi\) |
−0.772187 | + | 0.635395i | \(0.780837\pi\) | |||||||
\(678\) | 78.0224 | + | 87.0314i | 0.115077 | + | 0.128365i | ||||
\(679\) | 7.66591 | + | 23.5932i | 0.0112900 | + | 0.0347470i | ||||
\(680\) | −927.117 | − | 269.003i | −1.36341 | − | 0.395593i | ||||
\(681\) | −75.3803 | − | 85.5713i | −0.110691 | − | 0.125655i | ||||
\(682\) | −292.332 | + | 409.816i | −0.428640 | + | 0.600903i | ||||
\(683\) | −65.2679 | − | 128.096i | −0.0955607 | − | 0.187548i | 0.838278 | − | 0.545243i | \(-0.183563\pi\) |
−0.933838 | + | 0.357695i | \(0.883563\pi\) | |||||||
\(684\) | −248.562 | − | 27.2151i | −0.363395 | − | 0.0397882i | ||||
\(685\) | 987.472 | + | 314.693i | 1.44157 | + | 0.459405i | ||||
\(686\) | 227.396 | − | 456.060i | 0.331481 | − | 0.664810i | ||||
\(687\) | −193.199 | + | 233.347i | −0.281221 | + | 0.339660i | ||||
\(688\) | −231.700 | + | 128.407i | −0.336773 | + | 0.186637i | ||||
\(689\) | 69.5649 | + | 50.5419i | 0.100965 | + | 0.0733554i | ||||
\(690\) | −622.283 | + | 773.950i | −0.901860 | + | 1.12167i | ||||
\(691\) | 801.580 | + | 1103.28i | 1.16003 | + | 1.59664i | 0.711130 | + | 0.703060i | \(0.248184\pi\) |
0.448898 | + | 0.893583i | \(0.351816\pi\) | |||||||
\(692\) | 222.965 | + | 215.334i | 0.322204 | + | 0.311177i | ||||
\(693\) | 57.5629 | − | 197.542i | 0.0830634 | − | 0.285053i | ||||
\(694\) | −562.898 | − | 84.1384i | −0.811093 | − | 0.121237i | ||||
\(695\) | 697.939 | − | 705.870i | 1.00423 | − | 1.01564i | ||||
\(696\) | 162.573 | + | 571.730i | 0.233582 | + | 0.821452i | ||||
\(697\) | 200.993 | − | 394.471i | 0.288369 | − | 0.565956i | ||||
\(698\) | −365.888 | + | 122.415i | −0.524195 | + | 0.175380i | ||||
\(699\) | 300.405 | − | 507.494i | 0.429764 | − | 0.726028i | ||||
\(700\) | 121.263 | − | 255.896i | 0.173233 | − | 0.365566i | ||||
\(701\) | 666.878i | 0.951324i | 0.879628 | + | 0.475662i | \(0.157791\pi\) | ||||
−0.879628 | + | 0.475662i | \(0.842209\pi\) | |||||||
\(702\) | 22.1056 | + | 74.0109i | 0.0314895 | + | 0.105429i | ||||
\(703\) | 104.121 | − | 204.348i | 0.148109 | − | 0.290680i | ||||
\(704\) | −133.799 | + | 499.079i | −0.190055 | + | 0.708919i | ||||
\(705\) | 331.957 | + | 19.1361i | 0.470860 | + | 0.0271435i | ||||
\(706\) | −551.888 | − | 82.4927i | −0.781712 | − | 0.116845i | ||||
\(707\) | −329.106 | − | 329.106i | −0.465496 | − | 0.465496i | ||||
\(708\) | −928.375 | + | 255.273i | −1.31126 | + | 0.360555i | ||||
\(709\) | −16.5833 | − | 22.8250i | −0.0233898 | − | 0.0321932i | 0.797162 | − | 0.603766i | \(-0.206334\pi\) |
−0.820552 | + | 0.571572i | \(0.806334\pi\) | |||||||
\(710\) | −557.955 | − | 1057.25i | −0.785851 | − | 1.48909i | ||||
\(711\) | 494.433 | + | 62.8639i | 0.695405 | + | 0.0884162i | ||||
\(712\) | −135.565 | − | 382.904i | −0.190400 | − | 0.537787i | ||||
\(713\) | 1019.31 | + | 161.443i | 1.42961 | + | 0.226428i | ||||
\(714\) | −222.580 | − | 344.376i | −0.311737 | − | 0.482319i | ||||
\(715\) | 34.2030 | + | 46.5214i | 0.0478364 | + | 0.0650649i | ||||
\(716\) | 626.520 | − | 894.678i | 0.875027 | − | 1.24955i | ||||
\(717\) | −18.4525 | + | 291.430i | −0.0257356 | + | 0.406458i | ||||
\(718\) | 245.087 | − | 343.583i | 0.341347 | − | 0.478528i | ||||
\(719\) | −534.969 | − | 173.822i | −0.744046 | − | 0.241755i | −0.0876285 | − | 0.996153i | \(-0.527929\pi\) |
−0.656417 | + | 0.754398i | \(0.727929\pi\) | |||||||
\(720\) | −550.964 | + | 463.507i | −0.765228 | + | 0.643759i | ||||
\(721\) | −51.0520 | − | 157.122i | −0.0708072 | − | 0.217922i | ||||
\(722\) | 188.108 | − | 596.558i | 0.260538 | − | 0.826257i | ||||
\(723\) | −434.466 | + | 1096.05i | −0.600921 | + | 1.51598i | ||||
\(724\) | 284.123 | + | 825.273i | 0.392436 | + | 1.13988i | ||||
\(725\) | 6.99593 | + | 619.122i | 0.00964956 | + | 0.853962i | ||||
\(726\) | 120.700 | − | 312.408i | 0.166253 | − | 0.430314i | ||||
\(727\) | 812.987 | − | 128.764i | 1.11828 | − | 0.177118i | 0.430184 | − | 0.902741i | \(-0.358449\pi\) |
0.688092 | + | 0.725624i | \(0.258449\pi\) | |||||||
\(728\) | 0.846093 | + | 32.3931i | 0.00116222 | + | 0.0444961i | ||||
\(729\) | −706.531 | + | 179.597i | −0.969178 | + | 0.246361i | ||||
\(730\) | 787.660 | − | 268.485i | 1.07899 | − | 0.367788i | ||||
\(731\) | −123.474 | + | 380.013i | −0.168911 | + | 0.519854i | ||||
\(732\) | 929.086 | − | 612.027i | 1.26924 | − | 0.836102i | ||||
\(733\) | −186.475 | − | 365.977i | −0.254399 | − | 0.499286i | 0.728120 | − | 0.685450i | \(-0.240394\pi\) |
−0.982519 | + | 0.186164i | \(0.940394\pi\) | |||||||
\(734\) | 759.620 | − | 772.960i | 1.03490 | − | 1.05308i | ||||
\(735\) | −562.872 | + | 247.092i | −0.765812 | + | 0.336180i | ||||
\(736\) | 1038.06 | − | 211.076i | 1.41040 | − | 0.286787i | ||||
\(737\) | 113.807 | − | 718.549i | 0.154419 | − | 0.974965i | ||||
\(738\) | −161.358 | − | 288.092i | −0.218643 | − | 0.390369i | ||||
\(739\) | −506.347 | − | 367.883i | −0.685179 | − | 0.497812i | 0.189893 | − | 0.981805i | \(-0.439186\pi\) |
−0.875072 | + | 0.483993i | \(0.839186\pi\) | |||||||
\(740\) | −218.498 | − | 623.195i | −0.295268 | − | 0.842156i | ||||
\(741\) | 29.6745 | − | 2.79308i | 0.0400466 | − | 0.00376933i | ||||
\(742\) | −273.681 | + | 202.504i | −0.368842 | + | 0.272916i | ||||
\(743\) | 65.8142 | − | 65.8142i | 0.0885790 | − | 0.0885790i | −0.661429 | − | 0.750008i | \(-0.730050\pi\) |
0.750008 | + | 0.661429i | \(0.230050\pi\) | |||||||
\(744\) | 702.530 | + | 257.461i | 0.944260 | + | 0.346050i | ||||
\(745\) | 59.6749 | − | 391.059i | 0.0801005 | − | 0.524911i | ||||
\(746\) | −194.674 | − | 373.985i | −0.260957 | − | 0.501320i | ||||
\(747\) | −1067.14 | + | 32.6804i | −1.42856 | + | 0.0437488i | ||||
\(748\) | 365.865 | + | 688.165i | 0.489124 | + | 0.920007i | ||||
\(749\) | −261.635 | −0.349312 | ||||||||
\(750\) | −680.575 | + | 315.146i | −0.907434 | + | 0.420195i | ||||
\(751\) | 902.918i | 1.20229i | 0.799141 | + | 0.601144i | \(0.205288\pi\) | ||||
−0.799141 | + | 0.601144i | \(0.794712\pi\) | |||||||
\(752\) | −259.371 | − | 241.911i | −0.344909 | − | 0.321690i | ||||
\(753\) | −23.7858 | + | 15.0816i | −0.0315880 | + | 0.0200286i | ||||
\(754\) | −32.7144 | − | 62.8471i | −0.0433878 | − | 0.0833516i | ||||
\(755\) | 386.149 | + | 58.9257i | 0.511456 | + | 0.0780472i | ||||
\(756\) | −305.793 | − | 4.65103i | −0.404488 | − | 0.00615215i | ||||
\(757\) | −119.881 | − | 119.881i | −0.158364 | − | 0.158364i | 0.623478 | − | 0.781841i | \(-0.285719\pi\) |
−0.781841 | + | 0.623478i | \(0.785719\pi\) | |||||||
\(758\) | 537.510 | − | 397.718i | 0.709116 | − | 0.524694i | ||||
\(759\) | 798.244 | − | 75.1337i | 1.05170 | − | 0.0989903i | ||||
\(760\) | 133.931 | + | 243.418i | 0.176224 | + | 0.320287i | ||||
\(761\) | −308.545 | + | 424.675i | −0.405446 | + | 0.558049i | −0.962100 | − | 0.272695i | \(-0.912085\pi\) |
0.556654 | + | 0.830744i | \(0.312085\pi\) | |||||||
\(762\) | −3.19608 | − | 1.85451i | −0.00419433 | − | 0.00243373i | ||||
\(763\) | 41.9867 | + | 6.65004i | 0.0550284 | + | 0.00871565i | ||||
\(764\) | −173.815 | + | 568.432i | −0.227506 | + | 0.744021i | ||||
\(765\) | −130.889 | + | 1078.11i | −0.171097 | + | 1.40929i | ||||
\(766\) | 320.027 | − | 325.647i | 0.417789 | − | 0.425127i | ||||
\(767\) | 102.260 | − | 52.1043i | 0.133325 | − | 0.0679325i | ||||
\(768\) | 767.984 | − | 4.91807i | 0.999979 | − | 0.00640374i | ||||
\(769\) | −521.865 | − | 169.564i | −0.678628 | − | 0.220500i | −0.0506335 | − | 0.998717i | \(-0.516124\pi\) |
−0.627995 | + | 0.778218i | \(0.716124\pi\) | |||||||
\(770\) | −216.394 | + | 73.7611i | −0.281031 | + | 0.0957936i | ||||
\(771\) | 14.0039 | − | 62.5321i | 0.0181633 | − | 0.0811052i | ||||
\(772\) | −172.464 | + | 1226.75i | −0.223399 | + | 1.58905i | ||||
\(773\) | −128.812 | − | 813.290i | −0.166640 | − | 1.05212i | −0.919255 | − | 0.393661i | \(-0.871208\pi\) |
0.752616 | − | 0.658460i | \(-0.228792\pi\) | |||||||
\(774\) | 184.511 | + | 234.027i | 0.238386 | + | 0.302360i | ||||
\(775\) | 635.681 | + | 450.964i | 0.820234 | + | 0.581889i | ||||
\(776\) | −61.5931 | + | 33.4370i | −0.0793725 | + | 0.0430890i | ||||
\(777\) | 103.366 | − | 260.768i | 0.133032 | − | 0.335609i | ||||
\(778\) | −256.840 | + | 814.531i | −0.330129 | + | 1.04695i | ||||
\(779\) | −121.181 | + | 39.3741i | −0.155560 | + | 0.0505444i | ||||
\(780\) | 53.1940 | − | 67.3510i | 0.0681975 | − | 0.0863474i | ||||
\(781\) | −298.245 | + | 917.904i | −0.381876 | + | 1.17529i | ||||
\(782\) | 927.883 | − | 1300.78i | 1.18655 | − | 1.66341i | ||||
\(783\) | 605.395 | − | 283.989i | 0.773173 | − | 0.362693i | ||||
\(784\) | 630.283 | + | 180.791i | 0.803933 | + | 0.230601i | ||||
\(785\) | 879.966 | − | 646.960i | 1.12098 | − | 0.824153i | ||||
\(786\) | 253.053 | − | 163.556i | 0.321951 | − | 0.208086i | ||||
\(787\) | 74.0734 | − | 467.681i | 0.0941213 | − | 0.594258i | −0.894875 | − | 0.446317i | \(-0.852735\pi\) |
0.988996 | − | 0.147941i | \(-0.0472646\pi\) | |||||||
\(788\) | −885.063 | + | 156.020i | −1.12318 | + | 0.197995i | ||||
\(789\) | 16.3718 | + | 37.8746i | 0.0207500 | + | 0.0480033i | ||||
\(790\) | −258.473 | − | 489.774i | −0.327182 | − | 0.619967i | ||||
\(791\) | 44.6289 | − | 32.4248i | 0.0564209 | − | 0.0409922i | ||||
\(792\) | 578.366 | + | 58.2354i | 0.730260 | + | 0.0735295i | ||||
\(793\) | −93.7740 | + | 93.7740i | −0.118252 | + | 0.118252i | ||||
\(794\) | −162.068 | − | 24.2250i | −0.204116 | − | 0.0305100i | ||||
\(795\) | 900.215 | + | 51.8942i | 1.13235 | + | 0.0652758i | ||||
\(796\) | 1181.32 | − | 890.105i | 1.48407 | − | 1.11822i | ||||
\(797\) | 1348.38 | + | 687.033i | 1.69182 | + | 0.862024i | 0.988513 | + | 0.151134i | \(0.0482925\pi\) |
0.703303 | + | 0.710890i | \(0.251708\pi\) | |||||||
\(798\) | −24.7862 | + | 115.379i | −0.0310604 | + | 0.144586i | ||||
\(799\) | −534.980 | −0.669562 | ||||||||
\(800\) | 773.248 | + | 205.152i | 0.966560 | + | 0.256440i | ||||
\(801\) | −400.620 | + | 219.825i | −0.500150 | + | 0.274438i | ||||
\(802\) | −1367.05 | + | 457.376i | −1.70455 | + | 0.570294i | ||||
\(803\) | −598.617 | − | 305.011i | −0.745476 | − | 0.379839i | ||||
\(804\) | −1074.64 | + | 120.056i | −1.33662 | + | 0.149324i | ||||
\(805\) | 333.286 | + | 329.541i | 0.414020 | + | 0.409368i | ||||
\(806\) | −88.2080 | − | 13.1848i | −0.109439 | − | 0.0163583i | ||||
\(807\) | 166.810 | + | 650.764i | 0.206704 | + | 0.806399i | ||||
\(808\) | 744.830 | − | 1083.58i | 0.921819 | − | 1.34106i | ||||
\(809\) | −646.059 | + | 469.389i | −0.798590 | + | 0.580209i | −0.910500 | − | 0.413509i | \(-0.864303\pi\) |
0.111910 | + | 0.993718i | \(0.464303\pi\) | |||||||
\(810\) | 614.371 | + | 527.871i | 0.758483 | + | 0.651693i | ||||
\(811\) | 804.612 | − | 1107.45i | 0.992123 | − | 1.36554i | 0.0620870 | − | 0.998071i | \(-0.480224\pi\) |
0.930036 | − | 0.367469i | \(-0.119776\pi\) | |||||||
\(812\) | 276.269 | − | 48.7011i | 0.340233 | − | 0.0599767i | ||||
\(813\) | −116.199 | + | 140.345i | −0.142926 | + | 0.172627i | ||||
\(814\) | −237.907 | + | 477.141i | −0.292269 | + | 0.586169i | ||||
\(815\) | −65.4014 | + | 205.223i | −0.0802472 | + | 0.251807i | ||||
\(816\) | 842.072 | − | 795.528i | 1.03195 | − | 0.974912i | ||||
\(817\) | 102.463 | − | 52.2074i | 0.125414 | − | 0.0639014i | ||||
\(818\) | 757.395 | − | 1061.78i | 0.925911 | − | 1.29802i | ||||
\(819\) | 35.8144 | − | 6.80224i | 0.0437295 | − | 0.00830554i | ||||
\(820\) | −158.984 | + | 330.656i | −0.193883 | + | 0.403239i | ||||
\(821\) | 582.832 | − | 189.374i | 0.709905 | − | 0.230662i | 0.0682642 | − | 0.997667i | \(-0.478254\pi\) |
0.641641 | + | 0.767005i | \(0.278254\pi\) | |||||||
\(822\) | −926.040 | + | 830.182i | −1.12657 | + | 1.00995i | ||||
\(823\) | −131.058 | − | 827.469i | −0.159245 | − | 1.00543i | −0.929802 | − | 0.368060i | \(-0.880022\pi\) |
0.770557 | − | 0.637371i | \(-0.219978\pi\) | |||||||
\(824\) | 410.186 | − | 222.678i | 0.497799 | − | 0.270240i | ||||
\(825\) | 565.386 | + | 216.754i | 0.685316 | + | 0.262733i | ||||
\(826\) | 74.9901 | + | 448.184i | 0.0907871 | + | 0.542596i | ||||
\(827\) | −95.6951 | − | 604.195i | −0.115714 | − | 0.730586i | −0.975511 | − | 0.219951i | \(-0.929410\pi\) |
0.859797 | − | 0.510635i | \(-0.170590\pi\) | |||||||
\(828\) | −422.243 | − | 1114.40i | −0.509956 | − | 1.34589i | ||||
\(829\) | −813.206 | + | 264.227i | −0.980948 | + | 0.318729i | −0.755227 | − | 0.655463i | \(-0.772474\pi\) |
−0.225720 | + | 0.974192i | \(0.572474\pi\) | |||||||
\(830\) | 710.971 | + | 949.599i | 0.856592 | + | 1.14410i | ||||
\(831\) | −1028.16 | − | 1167.16i | −1.23725 | − | 1.40452i | ||||
\(832\) | −89.5477 | + | 19.0215i | −0.107629 | + | 0.0228624i | ||||
\(833\) | 881.237 | − | 449.013i | 1.05791 | − | 0.539031i | ||||
\(834\) | 305.808 | + | 1151.27i | 0.366676 | + | 1.38042i | ||||
\(835\) | 98.3559 | + | 296.989i | 0.117791 | + | 0.355675i | ||||
\(836\) | 65.5902 | − | 214.502i | 0.0784572 | − | 0.256581i | ||||
\(837\) | 158.721 | − | 826.648i | 0.189631 | − | 0.987633i | ||||
\(838\) | −12.8723 | − | 1478.77i | −0.0153608 | − | 1.76464i | ||||
\(839\) | 143.781 | − | 197.897i | 0.171372 | − | 0.235873i | −0.714689 | − | 0.699443i | \(-0.753432\pi\) |
0.886060 | + | 0.463570i | \(0.153432\pi\) | |||||||
\(840\) | 190.986 | + | 281.059i | 0.227364 | + | 0.334595i | ||||
\(841\) | 184.150 | − | 133.793i | 0.218966 | − | 0.159088i | ||||
\(842\) | −353.947 | + | 261.895i | −0.420365 | + | 0.311039i | ||||
\(843\) | 1313.09 | − | 336.583i | 1.55764 | − | 0.399269i | ||||
\(844\) | 13.1510 | + | 755.334i | 0.0155817 | + | 0.894945i | ||||
\(845\) | 374.769 | − | 745.915i | 0.443514 | − | 0.882739i | ||||
\(846\) | −221.661 | + | 331.775i | −0.262011 | + | 0.392169i | ||||
\(847\) | −140.837 | − | 71.7599i | −0.166277 | − | 0.0847224i | ||||
\(848\) | −703.375 | − | 656.024i | −0.829451 | − | 0.773613i | ||||
\(849\) | −688.355 | + | 1162.88i | −0.810783 | + | 1.36971i | ||||
\(850\) | 1064.00 | − | 569.224i | 1.25176 | − | 0.669675i | ||||
\(851\) | 1093.05 | 1.28443 | ||||||||
\(852\) | 1433.03 | + | 65.7123i | 1.68196 | + | 0.0771271i | ||||
\(853\) | 1161.89 | + | 592.012i | 1.36212 | + | 0.694035i | 0.973782 | − | 0.227482i | \(-0.0730494\pi\) |
0.388338 | + | 0.921517i | \(0.373049\pi\) | |||||||
\(854\) | −242.443 | − | 465.755i | −0.283892 | − | 0.545380i | ||||
\(855\) | 246.039 | − | 192.765i | 0.287765 | − | 0.225456i | ||||
\(856\) | −134.651 | − | 726.781i | −0.157302 | − | 0.849043i | ||||
\(857\) | −541.928 | + | 541.928i | −0.632355 | + | 0.632355i | −0.948658 | − | 0.316303i | \(-0.897558\pi\) |
0.316303 | + | 0.948658i | \(0.397558\pi\) | |||||||
\(858\) | −68.9258 | + | 7.09335i | −0.0803331 | + | 0.00826730i | ||||
\(859\) | −251.693 | + | 182.865i | −0.293006 | + | 0.212882i | −0.724571 | − | 0.689201i | \(-0.757962\pi\) |
0.431564 | + | 0.902082i | \(0.357962\pi\) | |||||||
\(860\) | 95.0358 | − | 317.197i | 0.110507 | − | 0.368833i | ||||
\(861\) | −143.049 | + | 61.8347i | −0.166143 | + | 0.0718173i | ||||
\(862\) | 523.331 | − | 4.55546i | 0.607112 | − | 0.00528476i | ||||
\(863\) | 30.1569 | − | 190.403i | 0.0349443 | − | 0.220630i | −0.964036 | − | 0.265771i | \(-0.914374\pi\) |
0.998981 | + | 0.0451408i | \(0.0143737\pi\) | |||||||
\(864\) | −144.457 | − | 851.838i | −0.167196 | − | 0.985924i | ||||
\(865\) | −387.458 | + | 2.18902i | −0.447929 | + | 0.00253066i | ||||
\(866\) | −528.884 | + | 538.173i | −0.610721 | + | 0.621447i | ||||
\(867\) | 55.6283 | − | 878.571i | 0.0641618 | − | 1.01335i | ||||
\(868\) | 154.815 | − | 317.382i | 0.178358 | − | 0.365648i | ||||
\(869\) | −138.163 | + | 425.221i | −0.158990 | + | 0.489322i | ||||
\(870\) | −644.741 | − | 369.254i | −0.741082 | − | 0.424430i | ||||
\(871\) | 122.586 | − | 39.8305i | 0.140741 | − | 0.0457296i | ||||
\(872\) | 3.13578 | + | 120.055i | 0.00359608 | + | 0.137678i | ||||
\(873\) | 48.2743 | + | 62.3379i | 0.0552970 | + | 0.0714066i | ||||
\(874\) | −453.548 | + | 75.8876i | −0.518934 | + | 0.0868279i | ||||
\(875\) | 115.072 | + | 334.741i | 0.131511 | + | 0.382561i | ||||
\(876\) | −201.230 | + | 978.108i | −0.229715 | + | 1.11656i | ||||
\(877\) | −62.7688 | − | 396.306i | −0.0715721 | − | 0.451889i | −0.997284 | − | 0.0736581i | \(-0.976533\pi\) |
0.925711 | − | 0.378231i | \(-0.123467\pi\) | |||||||
\(878\) | −395.162 | + | 1253.20i | −0.450071 | + | 1.42733i | ||||
\(879\) | −770.969 | − | 172.656i | −0.877098 | − | 0.196424i | ||||
\(880\) | −316.265 | − | 563.148i | −0.359392 | − | 0.639941i | ||||
\(881\) | −230.387 | − | 74.8572i | −0.261506 | − | 0.0849684i | 0.175330 | − | 0.984510i | \(-0.443901\pi\) |
−0.436836 | + | 0.899541i | \(0.643901\pi\) | |||||||
\(882\) | 86.6667 | − | 732.554i | 0.0982616 | − | 0.830560i | ||||
\(883\) | −563.350 | + | 287.041i | −0.637995 | + | 0.325075i | −0.742895 | − | 0.669408i | \(-0.766548\pi\) |
0.104900 | + | 0.994483i | \(0.466548\pi\) | |||||||
\(884\) | −79.2069 | + | 113.109i | −0.0896006 | + | 0.127951i | ||||
\(885\) | 607.205 | − | 1039.14i | 0.686107 | − | 1.17417i | ||||
\(886\) | 284.935 | + | 142.071i | 0.321597 | + | 0.160351i | ||||
\(887\) | 377.921 | + | 59.8568i | 0.426067 | + | 0.0674823i | 0.365786 | − | 0.930699i | \(-0.380800\pi\) |
0.0602810 | + | 0.998181i | \(0.480800\pi\) | |||||||
\(888\) | 777.571 | + | 152.930i | 0.875643 | + | 0.172219i | ||||
\(889\) | −1.02507 | + | 1.41088i | −0.00115306 | + | 0.00158705i | ||||
\(890\) | 455.664 | + | 223.993i | 0.511982 | + | 0.251677i | ||||
\(891\) | −40.0162 | − | 652.726i | −0.0449115 | − | 0.732577i | ||||
\(892\) | 7.43329 | + | 7.17888i | 0.00833329 | + | 0.00804807i | ||||
\(893\) | 108.872 | + | 108.872i | 0.121917 | + | 0.121917i | ||||
\(894\) | 368.265 | + | 299.539i | 0.411929 | + | 0.335055i | ||||
\(895\) | 221.194 | + | 1347.26i | 0.247144 | + | 1.50531i | ||||
\(896\) | 34.7964 | − | 360.789i | 0.0388352 | − | 0.402666i | ||||
\(897\) | 76.0673 | + | 119.969i | 0.0848019 | + | 0.133745i | ||||
\(898\) | 276.100 | + | 825.237i | 0.307461 | + | 0.918972i | ||||
\(899\) | 772.116i | 0.858861i | ||||||||
\(900\) | 87.8408 | − | 895.703i | 0.0976009 | − | 0.995226i | ||||
\(901\) | −1450.78 | −1.61019 | ||||||||
\(902\) | 280.904 | − | 93.9824i | 0.311424 | − | 0.104193i | ||||
\(903\) | 118.785 | − | 75.3165i | 0.131545 | − | 0.0834070i | ||||
\(904\) | 113.039 | + | 107.285i | 0.125044 | + | 0.118678i | ||||
\(905\) | −974.885 | − | 489.811i | −1.07722 | − | 0.541227i | ||||
\(906\) | −295.779 | + | 363.641i | −0.326466 | + | 0.401370i | ||||
\(907\) | 83.7384 | − | 83.7384i | 0.0923246 | − | 0.0923246i | −0.659436 | − | 0.751761i | \(-0.729205\pi\) |
0.751761 | + | 0.659436i | \(0.229205\pi\) | |||||||
\(908\) | −109.371 | − | 105.628i | −0.120453 | − | 0.116330i | ||||
\(909\) | −1337.95 | − | 630.903i | −1.47190 | − | 0.694063i | ||||
\(910\) | −29.0497 | − | 28.2275i | −0.0319227 | − | 0.0310192i | ||||
\(911\) | −1050.01 | − | 762.880i | −1.15260 | − | 0.837410i | −0.163772 | − | 0.986498i | \(-0.552366\pi\) |
−0.988824 | + | 0.149089i | \(0.952366\pi\) | |||||||
\(912\) | −333.262 | − | 9.47197i | −0.365419 | − | 0.0103859i | ||||
\(913\) | 149.821 | − | 945.936i | 0.164098 | − | 1.03607i | ||||
\(914\) | −82.6307 | + | 165.722i | −0.0904056 | + | 0.181316i | ||||
\(915\) | −296.242 | + | 1358.77i | −0.323762 | + | 1.48500i | ||||
\(916\) | −231.698 | + | 330.868i | −0.252946 | + | 0.361210i | ||||
\(917\) | −64.5594 | − | 126.705i | −0.0704029 | − | 0.138173i | ||||
\(918\) | −1035.72 | − | 791.010i | −1.12823 | − | 0.861666i | ||||
\(919\) | −68.9077 | + | 212.076i | −0.0749812 | + | 0.230768i | −0.981522 | − | 0.191350i | \(-0.938713\pi\) |
0.906541 | + | 0.422118i | \(0.138713\pi\) | |||||||
\(920\) | −743.888 | + | 1095.42i | −0.808574 | + | 1.19067i | ||||
\(921\) | −153.343 | + | 684.728i | −0.166496 | + | 0.743462i | ||||
\(922\) | −969.666 | − | 305.758i | −1.05170 | − | 0.331625i | ||||
\(923\) | −168.892 | + | 26.7498i | −0.182981 | + | 0.0289814i | ||||
\(924\) | 55.2840 | − | 268.716i | 0.0598312 | − | 0.290818i | ||||
\(925\) | 739.701 | + | 366.429i | 0.799677 | + | 0.396139i | ||||
\(926\) | 246.435 | + | 1472.84i | 0.266128 | + | 1.59054i | ||||
\(927\) | −321.488 | − | 415.147i | −0.346805 | − | 0.447839i | ||||
\(928\) | 277.467 | + | 742.369i | 0.298994 | + | 0.799966i | ||||
\(929\) | −157.080 | − | 483.443i | −0.169085 | − | 0.520391i | 0.830229 | − | 0.557423i | \(-0.188210\pi\) |
−0.999314 | + | 0.0370316i | \(0.988210\pi\) | |||||||
\(930\) | −853.087 | + | 383.383i | −0.917298 | + | 0.412240i | ||||
\(931\) | −270.715 | − | 87.9605i | −0.290778 | − | 0.0944796i | ||||
\(932\) | 344.731 | − | 706.724i | 0.369883 | − | 0.758288i | ||||
\(933\) | 1242.23 | + | 78.6543i | 1.33144 | + | 0.0843025i | ||||
\(934\) | 628.385 | + | 617.540i | 0.672789 | + | 0.661178i | ||||
\(935\) | −928.226 | − | 295.812i | −0.992755 | − | 0.316376i | ||||
\(936\) | 37.3276 | + | 95.9862i | 0.0398799 | + | 0.102549i | ||||
\(937\) | −748.430 | − | 118.540i | −0.798752 | − | 0.126510i | −0.256301 | − | 0.966597i | \(-0.582504\pi\) |
−0.542451 | + | 0.840087i | \(0.682504\pi\) | |||||||
\(938\) | 4.44221 | + | 510.320i | 0.00473583 | + | 0.544051i | ||||
\(939\) | 400.944 | + | 927.547i | 0.426991 | + | 0.987803i | ||||
\(940\) | 443.226 | − | 10.2220i | 0.471517 | − | 0.0108745i | ||||
\(941\) | −280.450 | − | 386.007i | −0.298034 | − | 0.410209i | 0.633569 | − | 0.773686i | \(-0.281589\pi\) |
−0.931603 | + | 0.363477i | \(0.881589\pi\) | |||||||
\(942\) | 134.173 | + | 1303.75i | 0.142434 | + | 1.38403i | ||||
\(943\) | −429.400 | − | 429.400i | −0.455355 | − | 0.455355i | ||||
\(944\) | −1206.39 | + | 438.970i | −1.27796 | + | 0.465011i | ||||
\(945\) | 277.507 | − | 262.929i | 0.293658 | − | 0.278232i | ||||
\(946\) | −237.132 | + | 123.436i | −0.250668 | + | 0.130482i | ||||
\(947\) | 658.261 | − | 1291.91i | 0.695101 | − | 1.36421i | −0.225706 | − | 0.974195i | \(-0.572469\pi\) |
0.920807 | − | 0.390017i | \(-0.127531\pi\) | |||||||
\(948\) | 663.854 | + | 30.4413i | 0.700268 | + | 0.0321111i | ||||
\(949\) | − | 119.032i | − | 0.125429i | ||||||
\(950\) | −332.371 | − | 100.690i | −0.349865 | − | 0.105989i | ||||
\(951\) | −510.068 | − | 301.930i | −0.536350 | − | 0.317486i | ||||
\(952\) | −332.797 | − | 433.769i | −0.349577 | − | 0.455640i | ||||
\(953\) | −57.3236 | + | 112.504i | −0.0601507 | + | 0.118052i | −0.919125 | − | 0.393967i | \(-0.871102\pi\) |
0.858974 | + | 0.512019i | \(0.171102\pi\) | |||||||
\(954\) | −601.111 | + | 899.722i | −0.630095 | + | 0.943105i | ||||
\(955\) | −341.057 | − | 660.116i | −0.357128 | − | 0.691221i | ||||
\(956\) | 6.77791 | + | 389.293i | 0.00708986 | + | 0.407210i | ||||
\(957\) | 148.945 | + | 581.069i | 0.155637 | + | 0.607177i | ||||
\(958\) | −1071.54 | − | 1448.17i | −1.11852 | − | 1.51166i | ||||
\(959\) | 345.009 | + | 474.865i | 0.359760 | + | 0.495167i | ||||
\(960\) | −682.448 | + | 675.177i | −0.710884 | + | 0.703310i | ||||
\(961\) | 8.84604 | + | 6.42702i | 0.00920503 | + | 0.00668785i | ||||
\(962\) | −94.4585 | + | 0.822237i | −0.0981897 | + | 0.000854717i | ||||
\(963\) | −782.608 | + | 281.048i | −0.812677 | + | 0.291846i | ||||
\(964\) | −459.683 | + | 1503.32i | −0.476850 | + | 1.55946i | ||||
\(965\) | −917.259 | − | 1247.61i | −0.950527 | − | 1.29286i | ||||
\(966\) | −543.586 | + | 144.391i | −0.562719 | + | 0.149473i | ||||
\(967\) | −554.934 | − | 1089.12i | −0.573872 | − | 1.12629i | −0.977415 | − | 0.211327i | \(-0.932221\pi\) |
0.403543 | − | 0.914961i | \(-0.367779\pi\) | |||||||
\(968\) | 126.856 | − | 428.154i | 0.131049 | − | 0.442308i | ||||
\(969\) | −377.352 | + | 332.412i | −0.389425 | + | 0.343047i | ||||
\(970\) | 25.8727 | − | 83.6971i | 0.0266729 | − | 0.0862857i | ||||
\(971\) | 57.4176 | + | 176.713i | 0.0591325 | + | 0.181991i | 0.976260 | − | 0.216604i | \(-0.0694980\pi\) |
−0.917127 | + | 0.398595i | \(0.869498\pi\) | |||||||
\(972\) | −919.690 | + | 314.570i | −0.946183 | + | 0.323632i | ||||
\(973\) | 555.269 | − | 87.9460i | 0.570677 | − | 0.0903864i | ||||
\(974\) | −1382.99 | + | 231.402i | −1.41991 | + | 0.237579i | ||||
\(975\) | 11.2593 | + | 106.688i | 0.0115480 | + | 0.109423i | ||||
\(976\) | 1169.02 | − | 913.172i | 1.19777 | − | 0.935627i | ||||
\(977\) | −1344.20 | + | 212.901i | −1.37585 | + | 0.217912i | −0.800174 | − | 0.599768i | \(-0.795259\pi\) |
−0.575672 | + | 0.817681i | \(0.695259\pi\) | |||||||
\(978\) | −172.534 | − | 192.456i | −0.176415 | − | 0.196785i | ||||
\(979\) | −126.674 | − | 389.862i | −0.129391 | − | 0.398224i | ||||
\(980\) | −721.518 | + | 388.841i | −0.736242 | + | 0.396777i | ||||
\(981\) | 132.735 | − | 25.2104i | 0.135306 | − | 0.0256986i | ||||
\(982\) | −822.187 | − | 586.488i | −0.837258 | − | 0.597238i | ||||
\(983\) | −221.476 | − | 434.671i | −0.225306 | − | 0.442188i | 0.750487 | − | 0.660885i | \(-0.229819\pi\) |
−0.975793 | + | 0.218698i | \(0.929819\pi\) | |||||||
\(984\) | −245.388 | − | 365.544i | −0.249378 | − | 0.371488i | ||||
\(985\) | 655.165 | − | 912.555i | 0.665143 | − | 0.926452i | ||||
\(986\) | 1069.81 | + | 533.418i | 1.08500 | + | 0.540992i | ||||
\(987\) | 145.051 | + | 120.095i | 0.146962 | + | 0.121676i | ||||
\(988\) | 39.1375 | − | 6.89921i | 0.0396128 | − | 0.00698300i | ||||
\(989\) | 443.396 | + | 322.146i | 0.448328 | + | 0.325729i | ||||
\(990\) | −568.049 | + | 453.087i | −0.573787 | + | 0.457663i | ||||
\(991\) | 409.156 | + | 563.155i | 0.412872 | + | 0.568269i | 0.963916 | − | 0.266207i | \(-0.0857704\pi\) |
−0.551044 | + | 0.834476i | \(0.685770\pi\) | |||||||
\(992\) | 961.315 | + | 266.711i | 0.969067 | + | 0.268862i | ||||
\(993\) | 445.580 | − | 114.215i | 0.448721 | − | 0.115021i | ||||
\(994\) | 100.088 | − | 669.600i | 0.100692 | − | 0.673642i | ||||
\(995\) | −278.910 | + | 1827.74i | −0.280312 | + | 1.83693i | ||||
\(996\) | −1414.71 | + | 158.048i | −1.42040 | + | 0.158683i | ||||
\(997\) | 776.922 | − | 1524.80i | 0.779260 | − | 1.52938i | −0.0676866 | − | 0.997707i | \(-0.521562\pi\) |
0.846947 | − | 0.531678i | \(-0.178438\pi\) | |||||||
\(998\) | 377.488 | + | 1128.28i | 0.378244 | + | 1.13054i | ||||
\(999\) | 29.0743 | − | 891.051i | 0.0291034 | − | 0.891943i |
(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.287.47 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.70 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.58 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.59 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.59 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.58 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.70 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.47 | ✓ | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.47 | ✓ | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.58 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.59 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.70 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.287.47 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.58 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.59 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.70 | yes | 928 | 3.2 | odd | 2 | inner |