Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(107,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 15, 44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bs (of order \(60\), degree \(16\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 107.1 | ||
Character | \(\chi\) | \(=\) | 930.107 |
Dual form | 930.2.bs.a.113.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{11}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | − | 0.891007i | −0.321020 | − | 0.630037i | ||||
\(3\) | −1.71996 | − | 0.204302i | −0.993019 | − | 0.117954i | ||||
\(4\) | −0.587785 | + | 0.809017i | −0.293893 | + | 0.404508i | ||||
\(5\) | −1.77453 | − | 1.36053i | −0.793594 | − | 0.608447i | ||||
\(6\) | 0.598811 | + | 1.62525i | 0.244463 | + | 0.663504i | ||||
\(7\) | −3.08239 | + | 2.49607i | −1.16503 | + | 0.943426i | −0.999088 | − | 0.0427085i | \(-0.986401\pi\) |
−0.165947 | + | 0.986135i | \(0.553068\pi\) | |||||||
\(8\) | 0.987688 | + | 0.156434i | 0.349201 | + | 0.0553079i | ||||
\(9\) | 2.91652 | + | 0.702783i | 0.972174 | + | 0.234261i | ||||
\(10\) | −0.406621 | + | 2.19879i | −0.128585 | + | 0.695317i | ||||
\(11\) | 0.345954 | + | 0.777026i | 0.104309 | + | 0.234282i | 0.958159 | − | 0.286238i | \(-0.0924048\pi\) |
−0.853849 | + | 0.520520i | \(0.825738\pi\) | |||||||
\(12\) | 1.17625 | − | 1.27139i | 0.339554 | − | 0.367019i | ||||
\(13\) | −0.335521 | + | 0.217890i | −0.0930568 | + | 0.0604318i | −0.590329 | − | 0.807163i | \(-0.701002\pi\) |
0.497272 | + | 0.867595i | \(0.334335\pi\) | |||||||
\(14\) | 3.62339 | + | 1.61324i | 0.968392 | + | 0.431156i | ||||
\(15\) | 2.77416 | + | 2.70260i | 0.716285 | + | 0.697807i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | 2.65918 | − | 1.02076i | 0.644947 | − | 0.247572i | −0.0138370 | − | 0.999904i | \(-0.504405\pi\) |
0.658784 | + | 0.752332i | \(0.271071\pi\) | |||||||
\(18\) | −0.697888 | − | 2.91770i | −0.164494 | − | 0.687708i | ||||
\(19\) | 1.61037 | + | 7.57621i | 0.369445 | + | 1.73810i | 0.633635 | + | 0.773632i | \(0.281562\pi\) |
−0.264190 | + | 0.964471i | \(0.585105\pi\) | |||||||
\(20\) | 2.14373 | − | 0.635926i | 0.479354 | − | 0.142197i | ||||
\(21\) | 5.81154 | − | 3.66340i | 1.26818 | − | 0.799420i | ||||
\(22\) | 0.535275 | − | 0.661010i | 0.114121 | − | 0.140928i | ||||
\(23\) | −7.14939 | − | 1.13235i | −1.49075 | − | 0.236112i | −0.642737 | − | 0.766087i | \(-0.722201\pi\) |
−0.848013 | + | 0.529975i | \(0.822201\pi\) | |||||||
\(24\) | −1.66682 | − | 0.470848i | −0.340239 | − | 0.0961114i | ||||
\(25\) | 1.29792 | + | 4.82860i | 0.259584 | + | 0.965721i | ||||
\(26\) | 0.346465 | + | 0.200032i | 0.0679473 | + | 0.0392294i | ||||
\(27\) | −4.87272 | − | 1.80461i | −0.937755 | − | 0.347297i | ||||
\(28\) | −0.207580 | − | 3.96086i | −0.0392289 | − | 0.748532i | ||||
\(29\) | 1.94129 | − | 5.97467i | 0.360488 | − | 1.10947i | −0.592271 | − | 0.805739i | \(-0.701768\pi\) |
0.952759 | − | 0.303729i | \(-0.0982316\pi\) | |||||||
\(30\) | 1.14859 | − | 3.69875i | 0.209703 | − | 0.675296i | ||||
\(31\) | −1.74501 | − | 5.28724i | −0.313413 | − | 0.949617i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −0.436279 | − | 1.40713i | −0.0759464 | − | 0.244950i | ||||
\(34\) | −2.11675 | − | 1.90593i | −0.363020 | − | 0.326865i | ||||
\(35\) | 8.86578 | − | 0.235670i | 1.49859 | − | 0.0398355i | ||||
\(36\) | −2.28285 | + | 1.94643i | −0.380475 | + | 0.324405i | ||||
\(37\) | 2.56173 | − | 9.56052i | 0.421146 | − | 1.57174i | −0.351051 | − | 0.936356i | \(-0.614176\pi\) |
0.772197 | − | 0.635383i | \(-0.219158\pi\) | |||||||
\(38\) | 6.01936 | − | 4.87438i | 0.976469 | − | 0.790729i | ||||
\(39\) | 0.621598 | − | 0.306214i | 0.0995354 | − | 0.0490335i | ||||
\(40\) | −1.53985 | − | 1.62138i | −0.243472 | − | 0.256362i | ||||
\(41\) | −0.475974 | + | 0.428569i | −0.0743346 | + | 0.0669312i | −0.705461 | − | 0.708749i | \(-0.749260\pi\) |
0.631126 | + | 0.775680i | \(0.282593\pi\) | |||||||
\(42\) | −5.90250 | − | 3.51497i | −0.910775 | − | 0.542372i | ||||
\(43\) | 0.148102 | − | 0.228057i | 0.0225853 | − | 0.0347783i | −0.827198 | − | 0.561911i | \(-0.810066\pi\) |
0.849783 | + | 0.527133i | \(0.176733\pi\) | |||||||
\(44\) | −0.831974 | − | 0.176842i | −0.125425 | − | 0.0266599i | ||||
\(45\) | −4.21930 | − | 5.21512i | −0.628976 | − | 0.777425i | ||||
\(46\) | 2.23682 | + | 6.88423i | 0.329801 | + | 1.01502i | ||||
\(47\) | 4.63490 | + | 2.36160i | 0.676070 | + | 0.344475i | 0.758084 | − | 0.652156i | \(-0.226135\pi\) |
−0.0820147 | + | 0.996631i | \(0.526135\pi\) | |||||||
\(48\) | 0.337194 | + | 1.69891i | 0.0486697 | + | 0.245217i | ||||
\(49\) | 1.81538 | − | 8.54070i | 0.259340 | − | 1.22010i | ||||
\(50\) | 3.71307 | − | 3.34859i | 0.525108 | − | 0.473563i | ||||
\(51\) | −4.78223 | + | 1.21240i | −0.669646 | + | 0.169770i | ||||
\(52\) | 0.0209377 | − | 0.399515i | 0.00290353 | − | 0.0554027i | ||||
\(53\) | −7.22547 | + | 8.92271i | −0.992495 | + | 1.22563i | −0.0183203 | + | 0.999832i | \(0.505832\pi\) |
−0.974174 | + | 0.225797i | \(0.927501\pi\) | |||||||
\(54\) | 0.604248 | + | 5.16090i | 0.0822277 | + | 0.702309i | ||||
\(55\) | 0.443260 | − | 1.84954i | 0.0597692 | − | 0.249392i | ||||
\(56\) | −3.43491 | + | 1.98315i | −0.459010 | + | 0.265009i | ||||
\(57\) | −1.22194 | − | 13.3598i | −0.161850 | − | 1.76955i | ||||
\(58\) | −6.20479 | + | 0.982743i | −0.814729 | + | 0.129040i | ||||
\(59\) | 8.89354 | − | 9.87727i | 1.15784 | − | 1.28591i | 0.206265 | − | 0.978496i | \(-0.433869\pi\) |
0.951575 | − | 0.307415i | \(-0.0994641\pi\) | |||||||
\(60\) | −3.81706 | + | 0.655798i | −0.492780 | + | 0.0846631i | ||||
\(61\) | −3.04831 | −0.390296 | −0.195148 | − | 0.980774i | \(-0.562519\pi\) | ||||
−0.195148 | + | 0.980774i | \(0.562519\pi\) | |||||||
\(62\) | −3.91875 | + | 3.95517i | −0.497682 | + | 0.502308i | ||||
\(63\) | −10.7441 | + | 5.11359i | −1.35362 | + | 0.644252i | ||||
\(64\) | 0.951057 | + | 0.309017i | 0.118882 | + | 0.0386271i | ||||
\(65\) | 0.891838 | + | 0.0698340i | 0.110619 | + | 0.00866184i | ||||
\(66\) | −1.05570 | + | 1.02755i | −0.129947 | + | 0.126483i | ||||
\(67\) | 7.76817 | − | 2.08147i | 0.949033 | − | 0.254293i | 0.249081 | − | 0.968483i | \(-0.419871\pi\) |
0.699952 | + | 0.714190i | \(0.253205\pi\) | |||||||
\(68\) | −0.737213 | + | 2.75132i | −0.0894002 | + | 0.333646i | ||||
\(69\) | 12.0653 | + | 3.40824i | 1.45249 | + | 0.410303i | ||||
\(70\) | −4.23496 | − | 7.79247i | −0.506175 | − | 0.931379i | ||||
\(71\) | −7.98843 | + | 0.839618i | −0.948052 | + | 0.0996443i | −0.565917 | − | 0.824462i | \(-0.691478\pi\) |
−0.382135 | + | 0.924107i | \(0.624811\pi\) | |||||||
\(72\) | 2.77067 | + | 1.15038i | 0.326527 | + | 0.135573i | ||||
\(73\) | 4.98716 | − | 12.9920i | 0.583703 | − | 1.52060i | −0.249920 | − | 0.968266i | \(-0.580404\pi\) |
0.833624 | − | 0.552333i | \(-0.186262\pi\) | |||||||
\(74\) | −9.68148 | + | 2.05786i | −1.12545 | + | 0.239222i | ||||
\(75\) | −1.24587 | − | 8.57017i | −0.143861 | − | 0.989598i | ||||
\(76\) | −7.07584 | − | 3.15037i | −0.811654 | − | 0.361372i | ||||
\(77\) | −3.00588 | − | 1.53157i | −0.342552 | − | 0.174539i | ||||
\(78\) | −0.555038 | − | 0.414830i | −0.0628457 | − | 0.0469702i | ||||
\(79\) | 1.59531 | − | 3.58312i | 0.179486 | − | 0.403132i | −0.801288 | − | 0.598279i | \(-0.795852\pi\) |
0.980774 | + | 0.195147i | \(0.0625182\pi\) | |||||||
\(80\) | −0.745580 | + | 2.10811i | −0.0833584 | + | 0.235693i | ||||
\(81\) | 8.01219 | + | 4.09936i | 0.890244 | + | 0.455485i | ||||
\(82\) | 0.597945 | + | 0.229530i | 0.0660320 | + | 0.0253473i | ||||
\(83\) | 0.442952 | − | 8.45203i | 0.0486203 | − | 0.927731i | −0.860048 | − | 0.510213i | \(-0.829567\pi\) |
0.908669 | − | 0.417518i | \(-0.137100\pi\) | |||||||
\(84\) | −0.452184 | + | 6.85493i | −0.0493373 | + | 0.747934i | ||||
\(85\) | −6.10758 | − | 1.80652i | −0.662460 | − | 0.195945i | ||||
\(86\) | −0.270437 | − | 0.0284241i | −0.0291620 | − | 0.00306505i | ||||
\(87\) | −4.55957 | + | 9.87957i | −0.488837 | + | 1.05920i | ||||
\(88\) | 0.220141 | + | 0.821579i | 0.0234671 | + | 0.0875806i | ||||
\(89\) | 7.42575 | + | 5.39513i | 0.787128 | + | 0.571882i | 0.907110 | − | 0.420894i | \(-0.138284\pi\) |
−0.119982 | + | 0.992776i | \(0.538284\pi\) | |||||||
\(90\) | −2.73119 | + | 6.12704i | −0.287892 | + | 0.645847i | ||||
\(91\) | 0.490338 | − | 1.50911i | 0.0514014 | − | 0.158197i | ||||
\(92\) | 5.11840 | − | 5.11840i | 0.533630 | − | 0.533630i | ||||
\(93\) | 1.92115 | + | 9.45035i | 0.199214 | + | 0.979956i | ||||
\(94\) | − | 5.20187i | − | 0.536532i | ||||||
\(95\) | 7.45000 | − | 15.6352i | 0.764354 | − | 1.60414i | ||||
\(96\) | 1.36066 | − | 1.07173i | 0.138872 | − | 0.109383i | ||||
\(97\) | 0.596170 | + | 3.76407i | 0.0605319 | + | 0.382183i | 0.999292 | + | 0.0376130i | \(0.0119754\pi\) |
−0.938760 | + | 0.344570i | \(0.888025\pi\) | |||||||
\(98\) | −8.43399 | + | 2.25988i | −0.851961 | + | 0.228282i | ||||
\(99\) | 0.462902 | + | 2.50934i | 0.0465234 | + | 0.252199i | ||||
\(100\) | −4.66932 | − | 1.78814i | −0.466932 | − | 0.178814i | ||||
\(101\) | 3.35447 | + | 4.61704i | 0.333782 | + | 0.459412i | 0.942613 | − | 0.333888i | \(-0.108361\pi\) |
−0.608830 | + | 0.793301i | \(0.708361\pi\) | |||||||
\(102\) | 3.25134 | + | 3.71058i | 0.321931 | + | 0.367403i | ||||
\(103\) | −4.89360 | − | 0.256463i | −0.482181 | − | 0.0252700i | −0.190303 | − | 0.981725i | \(-0.560947\pi\) |
−0.291878 | + | 0.956455i | \(0.594280\pi\) | |||||||
\(104\) | −0.365476 | + | 0.162720i | −0.0358378 | + | 0.0159560i | ||||
\(105\) | −15.2969 | − | 1.40595i | −1.49283 | − | 0.137207i | ||||
\(106\) | 11.2305 | + | 2.38711i | 1.09080 | + | 0.231857i | ||||
\(107\) | 2.07324 | − | 0.795842i | 0.200428 | − | 0.0769369i | −0.256084 | − | 0.966655i | \(-0.582432\pi\) |
0.456511 | + | 0.889718i | \(0.349099\pi\) | |||||||
\(108\) | 4.32407 | − | 2.88139i | 0.416084 | − | 0.277262i | ||||
\(109\) | 9.11461 | − | 2.96152i | 0.873022 | − | 0.283662i | 0.161965 | − | 0.986797i | \(-0.448217\pi\) |
0.711057 | + | 0.703135i | \(0.248217\pi\) | |||||||
\(110\) | −1.84919 | + | 0.444724i | −0.176313 | + | 0.0424028i | ||||
\(111\) | −6.35931 | + | 15.9203i | −0.603599 | + | 1.51109i | ||||
\(112\) | 3.32642 | + | 2.16020i | 0.314317 | + | 0.204120i | ||||
\(113\) | −14.9341 | − | 5.73266i | −1.40488 | − | 0.539284i | −0.466388 | − | 0.884580i | \(-0.654445\pi\) |
−0.938494 | + | 0.345296i | \(0.887778\pi\) | |||||||
\(114\) | −11.3489 | + | 7.15397i | −1.06292 | + | 0.670031i | ||||
\(115\) | 11.1462 | + | 11.7364i | 1.03939 | + | 1.09442i | ||||
\(116\) | 3.69255 | + | 5.08235i | 0.342844 | + | 0.471885i | ||||
\(117\) | −1.13168 | + | 0.399682i | −0.104624 | + | 0.0369506i | ||||
\(118\) | −12.8383 | − | 3.44001i | −1.18186 | − | 0.316679i | ||||
\(119\) | −5.64874 | + | 9.78391i | −0.517819 | + | 0.896889i | ||||
\(120\) | 2.31723 | + | 3.10330i | 0.211533 | + | 0.283291i | ||||
\(121\) | 6.87635 | − | 7.63696i | 0.625123 | − | 0.694269i | ||||
\(122\) | 1.38390 | + | 2.71606i | 0.125293 | + | 0.245901i | ||||
\(123\) | 0.906213 | − | 0.639878i | 0.0817105 | − | 0.0576959i | ||||
\(124\) | 5.30316 | + | 1.69602i | 0.476238 | + | 0.152307i | ||||
\(125\) | 4.26626 | − | 10.3344i | 0.381586 | − | 0.924333i | ||||
\(126\) | 9.43394 | + | 7.25150i | 0.840442 | + | 0.646015i | ||||
\(127\) | 7.76993 | − | 0.407205i | 0.689469 | − | 0.0361336i | 0.295616 | − | 0.955307i | \(-0.404475\pi\) |
0.393853 | + | 0.919173i | \(0.371142\pi\) | |||||||
\(128\) | −0.156434 | − | 0.987688i | −0.0138270 | − | 0.0873001i | ||||
\(129\) | −0.301322 | + | 0.361991i | −0.0265299 | + | 0.0318715i | ||||
\(130\) | −0.342664 | − | 0.826338i | −0.0300536 | − | 0.0724746i | ||||
\(131\) | 17.9910 | + | 1.89093i | 1.57188 | + | 0.165211i | 0.849991 | − | 0.526797i | \(-0.176607\pi\) |
0.721890 | + | 0.692008i | \(0.243274\pi\) | |||||||
\(132\) | 1.39483 | + | 0.474134i | 0.121405 | + | 0.0412681i | ||||
\(133\) | −23.8746 | − | 19.3332i | −2.07019 | − | 1.67640i | ||||
\(134\) | −5.38128 | − | 5.97652i | −0.464872 | − | 0.516293i | ||||
\(135\) | 6.19156 | + | 9.83181i | 0.532885 | + | 0.846188i | ||||
\(136\) | 2.78613 | − | 0.592210i | 0.238908 | − | 0.0507816i | ||||
\(137\) | 6.71267 | − | 4.35926i | 0.573502 | − | 0.372437i | −0.225064 | − | 0.974344i | \(-0.572259\pi\) |
0.798566 | + | 0.601907i | \(0.205592\pi\) | |||||||
\(138\) | −2.44078 | − | 12.2976i | −0.207773 | − | 1.04684i | ||||
\(139\) | 3.55124 | − | 1.15387i | 0.301212 | − | 0.0978698i | −0.154512 | − | 0.987991i | \(-0.549380\pi\) |
0.455724 | + | 0.890121i | \(0.349380\pi\) | |||||||
\(140\) | −5.02051 | + | 7.31109i | −0.424311 | + | 0.617900i | ||||
\(141\) | −7.48936 | − | 5.00878i | −0.630718 | − | 0.421815i | ||||
\(142\) | 4.37478 | + | 6.73656i | 0.367123 | + | 0.565320i | ||||
\(143\) | −0.285381 | − | 0.185329i | −0.0238648 | − | 0.0154980i | ||||
\(144\) | −0.232868 | − | 2.99095i | −0.0194057 | − | 0.249246i | ||||
\(145\) | −11.5736 | + | 7.96105i | −0.961134 | + | 0.661129i | ||||
\(146\) | −13.8401 | + | 1.45465i | −1.14541 | + | 0.120388i | ||||
\(147\) | −4.86727 | + | 14.3188i | −0.401445 | + | 1.18099i | ||||
\(148\) | 6.22887 | + | 7.69202i | 0.512010 | + | 0.632280i | ||||
\(149\) | −2.62085 | − | 4.53944i | −0.214708 | − | 0.371885i | 0.738474 | − | 0.674282i | \(-0.235547\pi\) |
−0.953182 | + | 0.302396i | \(0.902213\pi\) | |||||||
\(150\) | −7.07046 | + | 5.00086i | −0.577301 | + | 0.408318i | ||||
\(151\) | −7.63435 | − | 5.54668i | −0.621275 | − | 0.451383i | 0.232092 | − | 0.972694i | \(-0.425443\pi\) |
−0.853367 | + | 0.521311i | \(0.825443\pi\) | |||||||
\(152\) | 0.405367 | + | 7.73485i | 0.0328796 | + | 0.627380i | ||||
\(153\) | 8.47294 | − | 1.10825i | 0.684997 | − | 0.0895969i | ||||
\(154\) | 3.37358i | 0.271851i | ||||||||
\(155\) | −4.09687 | + | 11.7565i | −0.329069 | + | 0.944306i | ||||
\(156\) | −0.117634 | + | 0.682872i | −0.00941824 | + | 0.0546735i | ||||
\(157\) | 18.8398 | − | 9.59935i | 1.50358 | − | 0.766112i | 0.508118 | − | 0.861287i | \(-0.330341\pi\) |
0.995461 | + | 0.0951755i | \(0.0303412\pi\) | |||||||
\(158\) | −3.91683 | + | 0.205273i | −0.311607 | + | 0.0163306i | ||||
\(159\) | 14.2504 | − | 13.8705i | 1.13013 | − | 1.10000i | ||||
\(160\) | 2.21682 | − | 0.292743i | 0.175255 | − | 0.0231434i | ||||
\(161\) | 24.8636 | − | 14.3550i | 1.95953 | − | 1.13134i | ||||
\(162\) | 0.0151014 | − | 8.99999i | 0.00118648 | − | 0.707106i | ||||
\(163\) | −1.63547 | + | 10.3259i | −0.128100 | + | 0.808789i | 0.837057 | + | 0.547116i | \(0.184274\pi\) |
−0.965156 | + | 0.261673i | \(0.915726\pi\) | |||||||
\(164\) | −0.0669490 | − | 0.636977i | −0.00522784 | − | 0.0497396i | ||||
\(165\) | −1.14025 | + | 3.09057i | −0.0887687 | + | 0.240601i | ||||
\(166\) | −7.73191 | + | 3.44247i | −0.600113 | + | 0.267187i | ||||
\(167\) | −11.5804 | + | 17.8322i | −0.896116 | + | 1.37990i | 0.0287426 | + | 0.999587i | \(0.490850\pi\) |
−0.924859 | + | 0.380311i | \(0.875817\pi\) | |||||||
\(168\) | 6.31307 | − | 2.70917i | 0.487064 | − | 0.209017i | ||||
\(169\) | −5.22248 | + | 11.7299i | −0.401729 | + | 0.902298i | ||||
\(170\) | 1.16316 | + | 6.26204i | 0.0892106 | + | 0.480276i | ||||
\(171\) | −0.627746 | + | 23.2279i | −0.0480049 | + | 1.77628i | ||||
\(172\) | 0.0974497 | + | 0.253865i | 0.00743047 | + | 0.0193570i | ||||
\(173\) | 13.1861 | + | 20.3048i | 1.00252 | + | 1.54374i | 0.829257 | + | 0.558867i | \(0.188764\pi\) |
0.173261 | + | 0.984876i | \(0.444569\pi\) | |||||||
\(174\) | 10.8728 | − | 0.422624i | 0.824262 | − | 0.0320391i | ||||
\(175\) | −16.0532 | − | 11.6439i | −1.21351 | − | 0.880200i | ||||
\(176\) | 0.632090 | − | 0.569136i | 0.0476456 | − | 0.0429003i | ||||
\(177\) | −17.3145 | + | 15.1715i | −1.30144 | + | 1.14036i | ||||
\(178\) | 1.43587 | − | 9.06573i | 0.107623 | − | 0.679505i | ||||
\(179\) | 0.668957 | − | 6.36470i | 0.0500002 | − | 0.475720i | −0.940658 | − | 0.339355i | \(-0.889791\pi\) |
0.990659 | − | 0.136365i | \(-0.0435420\pi\) | |||||||
\(180\) | 6.69917 | − | 0.348112i | 0.499326 | − | 0.0259467i | ||||
\(181\) | 3.29766 | − | 5.71172i | 0.245113 | − | 0.424549i | −0.717050 | − | 0.697022i | \(-0.754508\pi\) |
0.962163 | + | 0.272473i | \(0.0878415\pi\) | |||||||
\(182\) | −1.56723 | + | 0.248225i | −0.116171 | + | 0.0183997i | ||||
\(183\) | 5.24296 | + | 0.622776i | 0.387571 | + | 0.0460369i | ||||
\(184\) | −6.88423 | − | 2.23682i | −0.507512 | − | 0.164901i | ||||
\(185\) | −17.5532 | + | 13.4801i | −1.29054 | + | 0.991078i | ||||
\(186\) | 7.54814 | − | 6.00213i | 0.553457 | − | 0.440098i | ||||
\(187\) | 1.71312 | + | 1.71312i | 0.125275 | + | 0.125275i | ||||
\(188\) | −4.63490 | + | 2.36160i | −0.338035 | + | 0.172237i | ||||
\(189\) | 19.5241 | − | 6.60014i | 1.42017 | − | 0.480089i | ||||
\(190\) | −17.3133 | + | 0.460222i | −1.25604 | + | 0.0333880i | ||||
\(191\) | −3.34664 | − | 1.93218i | −0.242155 | − | 0.139808i | 0.374012 | − | 0.927424i | \(-0.377982\pi\) |
−0.616167 | + | 0.787616i | \(0.711315\pi\) | |||||||
\(192\) | −1.57265 | − | 0.725800i | −0.113496 | − | 0.0523801i | ||||
\(193\) | −13.4312 | − | 16.5861i | −0.966798 | − | 1.19390i | −0.981002 | − | 0.193996i | \(-0.937855\pi\) |
0.0142047 | − | 0.999899i | \(-0.495478\pi\) | |||||||
\(194\) | 3.08316 | − | 2.24004i | 0.221358 | − | 0.160826i | ||||
\(195\) | −1.51966 | − | 0.302316i | −0.108825 | − | 0.0216493i | ||||
\(196\) | 5.84252 | + | 6.48877i | 0.417323 | + | 0.463484i | ||||
\(197\) | −3.06951 | + | 7.99635i | −0.218694 | + | 0.569717i | −0.998407 | − | 0.0564199i | \(-0.982031\pi\) |
0.779713 | + | 0.626137i | \(0.215365\pi\) | |||||||
\(198\) | 2.02569 | − | 1.55167i | 0.143959 | − | 0.110272i | ||||
\(199\) | 0.154882 | − | 0.728661i | 0.0109793 | − | 0.0516534i | −0.972317 | − | 0.233666i | \(-0.924928\pi\) |
0.983296 | + | 0.182012i | \(0.0582611\pi\) | |||||||
\(200\) | 0.526579 | + | 4.97219i | 0.0372347 | + | 0.351587i | ||||
\(201\) | −13.7862 | + | 1.99300i | −0.972403 | + | 0.140575i | ||||
\(202\) | 2.59091 | − | 5.08495i | 0.182296 | − | 0.357776i | ||||
\(203\) | 8.92939 | + | 23.2618i | 0.626720 | + | 1.63266i | ||||
\(204\) | 1.83008 | − | 4.58154i | 0.128131 | − | 0.320772i | ||||
\(205\) | 1.42771 | − | 0.112932i | 0.0997157 | − | 0.00788751i | ||||
\(206\) | 1.99314 | + | 4.47666i | 0.138869 | + | 0.311904i | ||||
\(207\) | −20.0555 | − | 8.32700i | −1.39396 | − | 0.578767i | ||||
\(208\) | 0.310907 | + | 0.251768i | 0.0215575 | + | 0.0174570i | ||||
\(209\) | −5.32980 | + | 3.87233i | −0.368670 | + | 0.267854i | ||||
\(210\) | 5.69194 | + | 14.2679i | 0.392781 | + | 0.984582i | ||||
\(211\) | 5.43340 | + | 9.41092i | 0.374050 | + | 0.647874i | 0.990184 | − | 0.139767i | \(-0.0446354\pi\) |
−0.616134 | + | 0.787641i | \(0.711302\pi\) | |||||||
\(212\) | −2.97160 | − | 11.0902i | −0.204090 | − | 0.761676i | ||||
\(213\) | 13.9113 | + | 0.187946i | 0.953187 | + | 0.0128778i | ||||
\(214\) | −1.65033 | − | 1.48596i | −0.112814 | − | 0.101578i | ||||
\(215\) | −0.573089 | + | 0.203197i | −0.0390844 | + | 0.0138579i | ||||
\(216\) | −4.53042 | − | 2.54465i | −0.308256 | − | 0.173142i | ||||
\(217\) | 18.5761 | + | 11.9417i | 1.26103 | + | 0.810654i | ||||
\(218\) | −6.77668 | − | 6.77668i | −0.458975 | − | 0.458975i | ||||
\(219\) | −11.2320 | + | 21.3268i | −0.758989 | + | 1.44113i | ||||
\(220\) | 1.23577 | + | 1.44574i | 0.0833153 | + | 0.0974715i | ||||
\(221\) | −0.669798 | + | 0.921897i | −0.0450555 | + | 0.0620135i | ||||
\(222\) | 17.0722 | − | 1.56149i | 1.14581 | − | 0.104800i | ||||
\(223\) | 23.6804 | + | 6.34515i | 1.58576 | + | 0.424902i | 0.940702 | − | 0.339234i | \(-0.110168\pi\) |
0.645055 | + | 0.764136i | \(0.276834\pi\) | |||||||
\(224\) | 0.414591 | − | 3.94457i | 0.0277010 | − | 0.263558i | ||||
\(225\) | 0.391945 | + | 14.9949i | 0.0261296 | + | 0.999659i | ||||
\(226\) | 1.67210 | + | 15.9090i | 0.111226 | + | 1.05825i | ||||
\(227\) | 10.1867 | + | 0.533862i | 0.676114 | + | 0.0354337i | 0.387303 | − | 0.921952i | \(-0.373407\pi\) |
0.288811 | + | 0.957386i | \(0.406740\pi\) | |||||||
\(228\) | 11.5265 | + | 6.86411i | 0.763363 | + | 0.454587i | ||||
\(229\) | −2.87620 | − | 13.5314i | −0.190065 | − | 0.894183i | −0.965022 | − | 0.262170i | \(-0.915562\pi\) |
0.774957 | − | 0.632014i | \(-0.217771\pi\) | |||||||
\(230\) | 5.39689 | − | 15.2595i | 0.355860 | − | 1.00618i | ||||
\(231\) | 4.85709 | + | 3.24835i | 0.319573 | + | 0.213726i | ||||
\(232\) | 2.85203 | − | 5.59742i | 0.187245 | − | 0.367489i | ||||
\(233\) | 7.51421 | − | 14.7475i | 0.492273 | − | 0.966139i | −0.502554 | − | 0.864546i | \(-0.667606\pi\) |
0.994826 | − | 0.101593i | \(-0.0323940\pi\) | |||||||
\(234\) | 0.869893 | + | 0.826886i | 0.0568667 | + | 0.0540552i | ||||
\(235\) | −5.01175 | − | 10.4967i | −0.326930 | − | 0.684726i | ||||
\(236\) | 2.76339 | + | 13.0007i | 0.179882 | + | 0.846276i | ||||
\(237\) | −3.47590 | + | 5.83689i | −0.225784 | + | 0.379147i | ||||
\(238\) | 11.2820 | + | 0.591265i | 0.731303 | + | 0.0383260i | ||||
\(239\) | −0.911078 | − | 8.66833i | −0.0589327 | − | 0.560708i | −0.983655 | − | 0.180065i | \(-0.942369\pi\) |
0.924722 | − | 0.380643i | \(-0.124297\pi\) | |||||||
\(240\) | 1.71306 | − | 3.47353i | 0.110577 | − | 0.224216i | ||||
\(241\) | −2.19703 | + | 20.9033i | −0.141523 | + | 1.34650i | 0.661227 | + | 0.750186i | \(0.270036\pi\) |
−0.802750 | + | 0.596316i | \(0.796631\pi\) | |||||||
\(242\) | −9.92638 | − | 2.65977i | −0.638092 | − | 0.170976i | ||||
\(243\) | −12.9431 | − | 8.68765i | −0.830303 | − | 0.557313i | ||||
\(244\) | 1.79175 | − | 2.46613i | 0.114705 | − | 0.157878i | ||||
\(245\) | −14.8413 | + | 12.6859i | −0.948178 | + | 0.810470i | ||||
\(246\) | −0.981548 | − | 0.516943i | −0.0625812 | − | 0.0329591i | ||||
\(247\) | −2.19109 | − | 2.19109i | −0.139416 | − | 0.139416i | ||||
\(248\) | −0.896420 | − | 5.49513i | −0.0569228 | − | 0.348941i | ||||
\(249\) | −2.48863 | + | 14.4467i | −0.157710 | + | 0.915519i | ||||
\(250\) | −11.1448 | + | 0.890434i | −0.704861 | + | 0.0563160i | ||||
\(251\) | 3.13291 | + | 2.82089i | 0.197748 | + | 0.178053i | 0.762056 | − | 0.647512i | \(-0.224190\pi\) |
−0.564308 | + | 0.825564i | \(0.690857\pi\) | |||||||
\(252\) | 2.17822 | − | 11.6978i | 0.137215 | − | 0.736893i | ||||
\(253\) | −1.59349 | − | 5.94700i | −0.100182 | − | 0.373885i | ||||
\(254\) | −3.89029 | − | 6.73819i | −0.244099 | − | 0.422792i | ||||
\(255\) | 10.1357 | + | 4.35493i | 0.634723 | + | 0.272716i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 1.78690 | + | 1.44700i | 0.111464 | + | 0.0902614i | 0.683432 | − | 0.730014i | \(-0.260487\pi\) |
−0.571968 | + | 0.820276i | \(0.693820\pi\) | |||||||
\(258\) | 0.459333 | + | 0.104139i | 0.0285968 | + | 0.00648342i | ||||
\(259\) | 15.9675 | + | 35.8635i | 0.992170 | + | 2.22845i | ||||
\(260\) | −0.580706 | + | 0.680465i | −0.0360139 | + | 0.0422006i | ||||
\(261\) | 9.86070 | − | 16.0609i | 0.610362 | − | 0.994147i | ||||
\(262\) | −6.48291 | − | 16.8886i | −0.400516 | − | 1.04338i | ||||
\(263\) | 10.1920 | − | 20.0030i | 0.628469 | − | 1.23344i | −0.328844 | − | 0.944384i | \(-0.606659\pi\) |
0.957313 | − | 0.289055i | \(-0.0933409\pi\) | |||||||
\(264\) | −0.210784 | − | 1.45806i | −0.0129728 | − | 0.0897372i | ||||
\(265\) | 24.9614 | − | 6.00316i | 1.53337 | − | 0.368771i | ||||
\(266\) | −6.38722 | + | 30.0495i | −0.391626 | + | 1.84245i | ||||
\(267\) | −11.6698 | − | 10.7965i | −0.714178 | − | 0.660735i | ||||
\(268\) | −2.88207 | + | 7.50804i | −0.176050 | + | 0.458627i | ||||
\(269\) | 6.54591 | + | 7.26997i | 0.399111 | + | 0.443258i | 0.908883 | − | 0.417052i | \(-0.136937\pi\) |
−0.509771 | + | 0.860310i | \(0.670270\pi\) | |||||||
\(270\) | 5.94930 | − | 9.98027i | 0.362063 | − | 0.607380i | ||||
\(271\) | 0.898303 | − | 0.652655i | 0.0545680 | − | 0.0396460i | −0.560167 | − | 0.828380i | \(-0.689263\pi\) |
0.614735 | + | 0.788734i | \(0.289263\pi\) | |||||||
\(272\) | −1.79254 | − | 2.21360i | −0.108689 | − | 0.134219i | ||||
\(273\) | −1.15168 | + | 2.49542i | −0.0697026 | + | 0.151030i | ||||
\(274\) | −6.93162 | − | 4.00197i | −0.418754 | − | 0.241768i | ||||
\(275\) | −3.30293 | + | 2.67899i | −0.199174 | + | 0.161549i | ||||
\(276\) | −9.84914 | + | 7.75774i | −0.592848 | + | 0.466961i | ||||
\(277\) | 17.7431 | − | 9.04055i | 1.06608 | − | 0.543194i | 0.169250 | − | 0.985573i | \(-0.445865\pi\) |
0.896828 | + | 0.442379i | \(0.145865\pi\) | |||||||
\(278\) | −2.64033 | − | 2.64033i | −0.158357 | − | 0.158357i | ||||
\(279\) | −1.37358 | − | 16.6467i | −0.0822339 | − | 0.996613i | ||||
\(280\) | 8.79349 | + | 1.15414i | 0.525512 | + | 0.0689733i | ||||
\(281\) | −15.2697 | − | 4.96144i | −0.910916 | − | 0.295975i | −0.184181 | − | 0.982892i | \(-0.558963\pi\) |
−0.726735 | + | 0.686918i | \(0.758963\pi\) | |||||||
\(282\) | −1.06275 | + | 8.94701i | −0.0632861 | + | 0.532787i | ||||
\(283\) | 5.82946 | − | 0.923296i | 0.346526 | − | 0.0548843i | 0.0192541 | − | 0.999815i | \(-0.493871\pi\) |
0.327271 | + | 0.944930i | \(0.393871\pi\) | |||||||
\(284\) | 4.01622 | − | 6.95629i | 0.238319 | − | 0.412780i | ||||
\(285\) | −16.0080 | + | 25.3698i | −0.948233 | + | 1.50278i | ||||
\(286\) | −0.0355687 | + | 0.338414i | −0.00210322 | + | 0.0200108i | ||||
\(287\) | 0.397399 | − | 2.50908i | 0.0234577 | − | 0.148106i | ||||
\(288\) | −2.55923 | + | 1.56535i | −0.150804 | + | 0.0922391i | ||||
\(289\) | −6.60417 | + | 5.94642i | −0.388480 | + | 0.349789i | ||||
\(290\) | 12.3476 | + | 6.69790i | 0.725079 | + | 0.393314i | ||||
\(291\) | −0.256381 | − | 6.59585i | −0.0150293 | − | 0.386655i | ||||
\(292\) | 7.57937 | + | 11.6712i | 0.443549 | + | 0.683006i | ||||
\(293\) | −3.90177 | − | 10.1645i | −0.227944 | − | 0.593815i | 0.771137 | − | 0.636669i | \(-0.219688\pi\) |
−0.999081 | + | 0.0428542i | \(0.986355\pi\) | |||||||
\(294\) | 14.9678 | − | 2.16382i | 0.872941 | − | 0.126197i | ||||
\(295\) | −29.2202 | + | 5.42760i | −1.70126 | + | 0.316007i | ||||
\(296\) | 4.02579 | − | 9.04207i | 0.233994 | − | 0.525559i | ||||
\(297\) | −0.283508 | − | 4.41054i | −0.0164508 | − | 0.255926i | ||||
\(298\) | −2.85483 | + | 4.39605i | −0.165376 | + | 0.254657i | ||||
\(299\) | 2.64550 | − | 1.17785i | 0.152993 | − | 0.0681169i | ||||
\(300\) | 7.66572 | + | 4.02949i | 0.442580 | + | 0.232643i | ||||
\(301\) | 0.112738 | + | 1.07263i | 0.00649812 | + | 0.0618255i | ||||
\(302\) | −1.47621 | + | 9.32040i | −0.0849461 | + | 0.536329i | ||||
\(303\) | −4.82629 | − | 8.62644i | −0.277263 | − | 0.495576i | ||||
\(304\) | 6.70777 | − | 3.87273i | 0.384717 | − | 0.222117i | ||||
\(305\) | 5.40931 | + | 4.14731i | 0.309736 | + | 0.237474i | ||||
\(306\) | −4.83410 | − | 7.04631i | −0.276347 | − | 0.402811i | ||||
\(307\) | −10.3327 | + | 0.541512i | −0.589717 | + | 0.0309057i | −0.344861 | − | 0.938654i | \(-0.612074\pi\) |
−0.244856 | + | 0.969560i | \(0.578741\pi\) | |||||||
\(308\) | 3.00588 | − | 1.53157i | 0.171276 | − | 0.0872694i | ||||
\(309\) | 8.36440 | + | 1.44088i | 0.475834 | + | 0.0819688i | ||||
\(310\) | 12.3351 | − | 1.68700i | 0.700585 | − | 0.0958154i | ||||
\(311\) | − | 26.3401i | − | 1.49361i | −0.665042 | − | 0.746806i | \(-0.731587\pi\) | ||
0.665042 | − | 0.746806i | \(-0.268413\pi\) | |||||||
\(312\) | 0.661848 | − | 0.205205i | 0.0374697 | − | 0.0116174i | ||||
\(313\) | −0.861437 | − | 16.4372i | −0.0486913 | − | 0.929086i | −0.908348 | − | 0.418214i | \(-0.862656\pi\) |
0.859657 | − | 0.510872i | \(-0.170677\pi\) | |||||||
\(314\) | −17.1062 | − | 12.4284i | −0.965357 | − | 0.701373i | ||||
\(315\) | 26.0228 | + | 5.54338i | 1.46622 | + | 0.312334i | ||||
\(316\) | 1.96110 | + | 3.39673i | 0.110321 | + | 0.191081i | ||||
\(317\) | 13.7524 | + | 16.9829i | 0.772414 | + | 0.953852i | 0.999801 | − | 0.0199522i | \(-0.00635142\pi\) |
−0.227387 | + | 0.973805i | \(0.573018\pi\) | |||||||
\(318\) | −18.8283 | − | 6.40015i | −1.05584 | − | 0.358903i | ||||
\(319\) | 5.31407 | − | 0.558531i | 0.297531 | − | 0.0312717i | ||||
\(320\) | −1.26725 | − | 1.84230i | −0.0708416 | − | 0.102988i | ||||
\(321\) | −3.72848 | + | 0.945248i | −0.208103 | + | 0.0527586i | ||||
\(322\) | −24.0783 | − | 15.6366i | −1.34183 | − | 0.871395i | ||||
\(323\) | 12.0158 | + | 18.5027i | 0.668578 | + | 1.02952i | ||||
\(324\) | −8.02590 | + | 4.07245i | −0.445884 | + | 0.226247i | ||||
\(325\) | −1.48758 | − | 1.33729i | −0.0825163 | − | 0.0741798i | ||||
\(326\) | 9.94296 | − | 3.23066i | 0.550690 | − | 0.178930i | ||||
\(327\) | −16.2818 | + | 3.23155i | −0.900386 | + | 0.178705i | ||||
\(328\) | −0.537157 | + | 0.348834i | −0.0296595 | + | 0.0192611i | ||||
\(329\) | −20.1813 | + | 4.28967i | −1.11263 | + | 0.236497i | ||||
\(330\) | 3.27138 | − | 0.387115i | 0.180084 | − | 0.0213100i | ||||
\(331\) | −0.634457 | − | 0.704636i | −0.0348729 | − | 0.0387303i | 0.725456 | − | 0.688269i | \(-0.241629\pi\) |
−0.760329 | + | 0.649538i | \(0.774962\pi\) | |||||||
\(332\) | 6.57747 | + | 5.32633i | 0.360986 | + | 0.292321i | ||||
\(333\) | 14.1903 | − | 26.0831i | 0.777625 | − | 1.42935i | ||||
\(334\) | 21.1460 | + | 2.22253i | 1.15706 | + | 0.121612i | ||||
\(335\) | −16.6168 | − | 6.87518i | −0.907871 | − | 0.375631i | ||||
\(336\) | −5.27997 | − | 4.39505i | −0.288046 | − | 0.239770i | ||||
\(337\) | −4.82387 | − | 30.4567i | −0.262773 | − | 1.65908i | −0.667473 | − | 0.744634i | \(-0.732624\pi\) |
0.404700 | − | 0.914449i | \(-0.367376\pi\) | |||||||
\(338\) | 12.8224 | − | 0.671991i | 0.697444 | − | 0.0365515i | ||||
\(339\) | 24.5149 | + | 12.9110i | 1.33146 | + | 0.701230i | ||||
\(340\) | 5.05145 | − | 3.87929i | 0.273953 | − | 0.210384i | ||||
\(341\) | 3.50463 | − | 3.18506i | 0.189786 | − | 0.172481i | ||||
\(342\) | 20.9812 | − | 9.98593i | 1.13453 | − | 0.539977i | ||||
\(343\) | 3.11785 | + | 6.11913i | 0.168348 | + | 0.330402i | ||||
\(344\) | 0.181954 | − | 0.202081i | 0.00981032 | − | 0.0108955i | ||||
\(345\) | −16.7733 | − | 22.4632i | −0.903043 | − | 1.20938i | ||||
\(346\) | 12.1053 | − | 20.9670i | 0.650787 | − | 1.12720i | ||||
\(347\) | 4.62875 | + | 1.24027i | 0.248484 | + | 0.0665812i | 0.380911 | − | 0.924612i | \(-0.375610\pi\) |
−0.132427 | + | 0.991193i | \(0.542277\pi\) | |||||||
\(348\) | −5.31269 | − | 9.49584i | −0.284790 | − | 0.509030i | ||||
\(349\) | −17.7967 | − | 24.4950i | −0.952634 | − | 1.31119i | −0.950347 | − | 0.311191i | \(-0.899272\pi\) |
−0.00228715 | − | 0.999997i | \(-0.500728\pi\) | |||||||
\(350\) | −3.08682 | + | 19.5898i | −0.164997 | + | 1.04712i | ||||
\(351\) | 2.02811 | − | 0.456231i | 0.108252 | − | 0.0243518i | ||||
\(352\) | −0.794067 | − | 0.304814i | −0.0423239 | − | 0.0162466i | ||||
\(353\) | 0.971513 | + | 0.630908i | 0.0517084 | + | 0.0335798i | 0.570234 | − | 0.821482i | \(-0.306852\pi\) |
−0.518526 | + | 0.855062i | \(0.673519\pi\) | |||||||
\(354\) | 21.3786 | + | 8.53957i | 1.13626 | + | 0.453873i | ||||
\(355\) | 15.3180 | + | 9.37857i | 0.812997 | + | 0.497763i | ||||
\(356\) | −8.72950 | + | 2.83639i | −0.462662 | + | 0.150328i | ||||
\(357\) | 11.7145 | − | 15.6739i | 0.619996 | − | 0.829549i | ||||
\(358\) | −5.97469 | + | 2.29347i | −0.315772 | + | 0.121214i | ||||
\(359\) | −7.03271 | − | 1.49485i | −0.371172 | − | 0.0788951i | 0.0185491 | − | 0.999828i | \(-0.494095\pi\) |
−0.389721 | + | 0.920933i | \(0.627429\pi\) | |||||||
\(360\) | −3.35153 | − | 5.81096i | −0.176641 | − | 0.306265i | ||||
\(361\) | −37.4483 | + | 16.6731i | −1.97096 | + | 0.877530i | ||||
\(362\) | −6.58629 | − | 0.345173i | −0.346167 | − | 0.0181419i | ||||
\(363\) | −13.3873 | + | 11.7304i | −0.702651 | + | 0.615687i | ||||
\(364\) | 0.932679 | + | 1.28372i | 0.0488857 | + | 0.0672853i | ||||
\(365\) | −26.5259 | + | 16.2695i | −1.38843 | + | 0.851586i | ||||
\(366\) | −1.82536 | − | 4.95425i | −0.0954130 | − | 0.258963i | ||||
\(367\) | −12.2300 | + | 3.27701i | −0.638400 | + | 0.171059i | −0.563479 | − | 0.826131i | \(-0.690537\pi\) |
−0.0749215 | + | 0.997189i | \(0.523871\pi\) | |||||||
\(368\) | 1.13235 | + | 7.14939i | 0.0590279 | + | 0.372688i | ||||
\(369\) | −1.68938 | + | 0.915424i | −0.0879456 | + | 0.0476550i | ||||
\(370\) | 19.9799 | + | 9.52021i | 1.03870 | + | 0.494932i | ||||
\(371\) | − | 45.5386i | − | 2.36425i | ||||||
\(372\) | −8.77472 | − | 4.00053i | −0.454948 | − | 0.207418i | ||||
\(373\) | 2.19146 | − | 2.19146i | 0.113469 | − | 0.113469i | −0.648092 | − | 0.761562i | \(-0.724433\pi\) |
0.761562 | + | 0.648092i | \(0.224433\pi\) | |||||||
\(374\) | 0.748659 | − | 2.30414i | 0.0387123 | − | 0.119144i | ||||
\(375\) | −9.44913 | + | 16.9031i | −0.487951 | + | 0.872871i | ||||
\(376\) | 4.20840 | + | 3.05758i | 0.217032 | + | 0.157683i | ||||
\(377\) | 0.650477 | + | 2.42761i | 0.0335013 | + | 0.125028i | ||||
\(378\) | −14.7445 | − | 14.3997i | −0.758375 | − | 0.740639i | ||||
\(379\) | −7.27393 | − | 0.764521i | −0.373637 | − | 0.0392708i | −0.0841507 | − | 0.996453i | \(-0.526818\pi\) |
−0.289486 | + | 0.957182i | \(0.593484\pi\) | |||||||
\(380\) | 8.27013 | + | 15.2173i | 0.424249 | + | 0.780632i | ||||
\(381\) | −13.4472 | − | 0.887038i | −0.688918 | − | 0.0454443i | ||||
\(382\) | −0.202245 | + | 3.85907i | −0.0103478 | + | 0.197447i | ||||
\(383\) | −10.2260 | − | 3.92539i | −0.522523 | − | 0.200578i | 0.0827872 | − | 0.996567i | \(-0.473618\pi\) |
−0.605311 | + | 0.795989i | \(0.706951\pi\) | |||||||
\(384\) | 0.0672740 | + | 1.73074i | 0.00343306 | + | 0.0883217i | ||||
\(385\) | 3.25027 | + | 6.80741i | 0.165649 | + | 0.346938i | ||||
\(386\) | −8.68072 | + | 19.4972i | −0.441837 | + | 0.992382i | ||||
\(387\) | 0.592216 | − | 0.561049i | 0.0301041 | − | 0.0285197i | ||||
\(388\) | −3.39562 | − | 1.73015i | −0.172386 | − | 0.0878352i | ||||
\(389\) | 0.874685 | + | 0.389435i | 0.0443483 | + | 0.0197451i | 0.428791 | − | 0.903404i | \(-0.358940\pi\) |
−0.384443 | + | 0.923149i | \(0.625606\pi\) | |||||||
\(390\) | 0.420545 | + | 1.49127i | 0.0212951 | + | 0.0755136i | ||||
\(391\) | −20.1674 | + | 4.28671i | −1.01991 | + | 0.216788i | ||||
\(392\) | 3.12909 | − | 8.15156i | 0.158043 | − | 0.411716i | ||||
\(393\) | −30.5575 | − | 6.92793i | −1.54142 | − | 0.349468i | ||||
\(394\) | 8.51833 | − | 0.895313i | 0.429147 | − | 0.0451052i | ||||
\(395\) | −7.70586 | + | 4.18789i | −0.387724 | + | 0.210716i | ||||
\(396\) | −2.30219 | − | 1.10046i | −0.115689 | − | 0.0553002i | ||||
\(397\) | −7.18701 | + | 26.8223i | −0.360706 | + | 1.34617i | 0.512444 | + | 0.858721i | \(0.328740\pi\) |
−0.873150 | + | 0.487452i | \(0.837926\pi\) | |||||||
\(398\) | −0.719557 | + | 0.192805i | −0.0360681 | + | 0.00966442i | ||||
\(399\) | 37.1135 | + | 38.1300i | 1.85800 | + | 1.90889i | ||||
\(400\) | 4.19120 | − | 2.72651i | 0.209560 | − | 0.136326i | ||||
\(401\) | −10.7395 | − | 3.48949i | −0.536307 | − | 0.174257i | 0.0283260 | − | 0.999599i | \(-0.490982\pi\) |
−0.564633 | + | 0.825342i | \(0.690982\pi\) | |||||||
\(402\) | 8.03457 | + | 11.3788i | 0.400728 | + | 0.567522i | ||||
\(403\) | 1.73753 | + | 1.39376i | 0.0865523 | + | 0.0694282i | ||||
\(404\) | −5.70697 | −0.283932 | ||||||||
\(405\) | −8.64057 | − | 18.1753i | −0.429354 | − | 0.903137i | ||||
\(406\) | 16.6726 | − | 18.5168i | 0.827447 | − | 0.918973i | ||||
\(407\) | 8.31501 | − | 1.31697i | 0.412160 | − | 0.0652797i | ||||
\(408\) | −4.91302 | + | 0.449364i | −0.243231 | + | 0.0222469i | ||||
\(409\) | −0.767817 | + | 0.443299i | −0.0379661 | + | 0.0219197i | −0.518863 | − | 0.854857i | \(-0.673644\pi\) |
0.480897 | + | 0.876777i | \(0.340311\pi\) | |||||||
\(410\) | −0.748790 | − | 1.22083i | −0.0369801 | − | 0.0602925i | ||||
\(411\) | −12.4361 | + | 6.12634i | −0.613429 | + | 0.302190i | ||||
\(412\) | 3.08387 | − | 3.80826i | 0.151931 | − | 0.187620i | ||||
\(413\) | −2.75898 | + | 52.6445i | −0.135761 | + | 2.59047i | ||||
\(414\) | 1.68562 | + | 21.6500i | 0.0828436 | + | 1.06404i | ||||
\(415\) | −12.2853 | + | 14.3957i | −0.603060 | + | 0.706659i | ||||
\(416\) | 0.0831778 | − | 0.391321i | 0.00407813 | − | 0.0191861i | ||||
\(417\) | −6.34373 | + | 1.25908i | −0.310654 | + | 0.0616574i | ||||
\(418\) | 5.86994 | + | 2.99089i | 0.287108 | + | 0.146289i | ||||
\(419\) | 2.46581 | + | 7.58897i | 0.120463 | + | 0.370745i | 0.993047 | − | 0.117718i | \(-0.0375577\pi\) |
−0.872585 | + | 0.488463i | \(0.837558\pi\) | |||||||
\(420\) | 10.1287 | − | 11.5491i | 0.494232 | − | 0.563537i | ||||
\(421\) | −19.1262 | − | 4.06540i | −0.932155 | − | 0.198136i | −0.283286 | − | 0.959036i | \(-0.591424\pi\) |
−0.648869 | + | 0.760900i | \(0.724758\pi\) | |||||||
\(422\) | 5.91848 | − | 9.11366i | 0.288107 | − | 0.443646i | ||||
\(423\) | 11.8581 | + | 10.1450i | 0.576560 | + | 0.493266i | ||||
\(424\) | −8.53233 | + | 7.68255i | −0.414367 | + | 0.373097i | ||||
\(425\) | 8.38027 | + | 11.5153i | 0.406503 | + | 0.558573i | ||||
\(426\) | −6.14814 | − | 12.4804i | −0.297878 | − | 0.604677i | ||||
\(427\) | 9.39607 | − | 7.60879i | 0.454708 | − | 0.368215i | ||||
\(428\) | −0.574770 | + | 2.14507i | −0.0277825 | + | 0.103686i | ||||
\(429\) | 0.452981 | + | 0.377062i | 0.0218701 | + | 0.0182047i | ||||
\(430\) | 0.441227 | + | 0.418377i | 0.0212778 | + | 0.0201759i | ||||
\(431\) | 2.49506 | + | 2.24656i | 0.120183 | + | 0.108213i | 0.727031 | − | 0.686605i | \(-0.240900\pi\) |
−0.606848 | + | 0.794818i | \(0.707566\pi\) | |||||||
\(432\) | −0.210534 | + | 5.19189i | −0.0101293 | + | 0.249795i | ||||
\(433\) | −0.897306 | + | 0.897306i | −0.0431218 | + | 0.0431218i | −0.728339 | − | 0.685217i | \(-0.759707\pi\) |
0.685217 | + | 0.728339i | \(0.259707\pi\) | |||||||
\(434\) | 2.20672 | − | 21.9729i | 0.105926 | − | 1.05473i | ||||
\(435\) | 21.5326 | − | 11.3282i | 1.03241 | − | 0.543144i | ||||
\(436\) | −2.96152 | + | 9.11461i | −0.141831 | + | 0.436511i | ||||
\(437\) | −2.93425 | − | 55.9888i | −0.140364 | − | 2.67831i | ||||
\(438\) | 24.1016 | + | 0.325619i | 1.15162 | + | 0.0155587i | ||||
\(439\) | −1.87410 | − | 1.08201i | −0.0894457 | − | 0.0516415i | 0.454610 | − | 0.890691i | \(-0.349779\pi\) |
−0.544056 | + | 0.839049i | \(0.683112\pi\) | |||||||
\(440\) | 0.727135 | − | 1.75743i | 0.0346648 | − | 0.0837820i | ||||
\(441\) | 11.2969 | − | 23.6333i | 0.537946 | − | 1.12540i | ||||
\(442\) | 1.12550 | + | 0.178261i | 0.0535345 | + | 0.00847903i | ||||
\(443\) | 13.9601 | − | 17.2393i | 0.663265 | − | 0.819064i | −0.328852 | − | 0.944381i | \(-0.606662\pi\) |
0.992117 | + | 0.125318i | \(0.0399951\pi\) | |||||||
\(444\) | −9.14191 | − | 14.5025i | −0.433856 | − | 0.688260i | ||||
\(445\) | −5.83700 | − | 19.6768i | −0.276700 | − | 0.932769i | ||||
\(446\) | −5.09711 | − | 23.9800i | −0.241355 | − | 1.13549i | ||||
\(447\) | 3.58033 | + | 8.34310i | 0.169344 | + | 0.394615i | ||||
\(448\) | −3.70286 | + | 1.42139i | −0.174944 | + | 0.0671545i | ||||
\(449\) | −8.04981 | − | 24.7748i | −0.379894 | − | 1.16919i | −0.940117 | − | 0.340852i | \(-0.889284\pi\) |
0.560223 | − | 0.828342i | \(-0.310716\pi\) | |||||||
\(450\) | 13.1826 | − | 7.15676i | 0.621434 | − | 0.337373i | ||||
\(451\) | −0.497674 | − | 0.221579i | −0.0234346 | − | 0.0104337i | ||||
\(452\) | 13.4159 | − | 8.71237i | 0.631029 | − | 0.409795i | ||||
\(453\) | 11.9976 | + | 11.0998i | 0.563695 | + | 0.521513i | ||||
\(454\) | −4.14899 | − | 9.31878i | −0.194722 | − | 0.437352i | ||||
\(455\) | −2.92330 | + | 2.01084i | −0.137047 | + | 0.0942694i | ||||
\(456\) | 0.883034 | − | 13.3865i | 0.0413519 | − | 0.626878i | ||||
\(457\) | −5.15218 | − | 0.816026i | −0.241009 | − | 0.0381721i | 0.0347613 | − | 0.999396i | \(-0.488933\pi\) |
−0.275770 | + | 0.961224i | \(0.588933\pi\) | |||||||
\(458\) | −10.7508 | + | 8.70586i | −0.502354 | + | 0.406798i | ||||
\(459\) | −14.7995 | + | 0.175109i | −0.690783 | + | 0.00817339i | ||||
\(460\) | −16.0465 | + | 2.11902i | −0.748171 | + | 0.0987999i | ||||
\(461\) | 21.8777 | − | 30.1121i | 1.01895 | − | 1.40246i | 0.106006 | − | 0.994366i | \(-0.466194\pi\) |
0.912940 | − | 0.408093i | \(-0.133806\pi\) | |||||||
\(462\) | 0.689229 | − | 5.80241i | 0.0320658 | − | 0.269953i | ||||
\(463\) | 6.31430 | + | 12.3925i | 0.293450 | + | 0.575929i | 0.989915 | − | 0.141662i | \(-0.0452447\pi\) |
−0.696465 | + | 0.717591i | \(0.745245\pi\) | |||||||
\(464\) | −6.28214 | −0.291641 | ||||||||
\(465\) | 9.44834 | − | 19.3837i | 0.438156 | − | 0.898899i | ||||
\(466\) | −16.5515 | −0.766732 | ||||||||
\(467\) | −2.33106 | − | 4.57496i | −0.107868 | − | 0.211704i | 0.830762 | − | 0.556627i | \(-0.187905\pi\) |
−0.938631 | + | 0.344923i | \(0.887905\pi\) | |||||||
\(468\) | 0.341837 | − | 1.15048i | 0.0158014 | − | 0.0531809i | ||||
\(469\) | −18.7490 | + | 25.8058i | −0.865750 | + | 1.19160i | ||||
\(470\) | −7.07730 | + | 9.23088i | −0.326451 | + | 0.425789i | ||||
\(471\) | −34.3648 | + | 12.6615i | −1.58345 | + | 0.583410i | ||||
\(472\) | 10.3292 | − | 8.36441i | 0.475440 | − | 0.385003i | ||||
\(473\) | 0.228442 | + | 0.0361817i | 0.0105038 | + | 0.00166364i | ||||
\(474\) | 6.77873 | + | 0.447158i | 0.311358 | + | 0.0205386i | ||||
\(475\) | −34.4924 | + | 17.6092i | −1.58262 | + | 0.807964i | ||||
\(476\) | −4.59510 | − | 10.3208i | −0.210616 | − | 0.473051i | ||||
\(477\) | −27.3440 | + | 20.9453i | −1.25199 | + | 0.959021i | ||||
\(478\) | −7.30992 | + | 4.74712i | −0.334348 | + | 0.217128i | ||||
\(479\) | −3.57128 | − | 1.59004i | −0.163176 | − | 0.0726506i | 0.323523 | − | 0.946220i | \(-0.395133\pi\) |
−0.486699 | + | 0.873570i | \(0.661799\pi\) | |||||||
\(480\) | −3.87265 | + | 0.0506042i | −0.176762 | + | 0.00230975i | ||||
\(481\) | 1.22363 | + | 3.76593i | 0.0557925 | + | 0.171712i | ||||
\(482\) | 19.6224 | − | 7.53235i | 0.893778 | − | 0.343089i | ||||
\(483\) | −45.6972 | + | 19.6104i | −2.07930 | + | 0.892303i | ||||
\(484\) | 2.13661 | + | 10.0520i | 0.0971188 | + | 0.456908i | ||||
\(485\) | 4.06321 | − | 7.49057i | 0.184501 | − | 0.340129i | ||||
\(486\) | −1.86469 | + | 15.4765i | −0.0845841 | + | 0.702030i | ||||
\(487\) | −19.0040 | + | 23.4680i | −0.861154 | + | 1.06344i | 0.136196 | + | 0.990682i | \(0.456512\pi\) |
−0.997350 | + | 0.0727547i | \(0.976821\pi\) | |||||||
\(488\) | −3.01078 | − | 0.476860i | −0.136291 | − | 0.0215865i | ||||
\(489\) | 4.92255 | − | 17.4261i | 0.222605 | − | 0.788033i | ||||
\(490\) | 18.0410 | + | 7.46446i | 0.815009 | + | 0.337210i | ||||
\(491\) | −16.1818 | − | 9.34257i | −0.730274 | − | 0.421624i | 0.0882482 | − | 0.996099i | \(-0.471873\pi\) |
−0.818523 | + | 0.574474i | \(0.805206\pi\) | |||||||
\(492\) | −0.0149863 | + | 1.10925i | −0.000675635 | + | 0.0500090i | ||||
\(493\) | −0.936492 | − | 17.8693i | −0.0421775 | − | 0.804794i | ||||
\(494\) | −0.957544 | + | 2.94702i | −0.0430819 | + | 0.132593i | ||||
\(495\) | 2.59260 | − | 5.08270i | 0.116529 | − | 0.228450i | ||||
\(496\) | −4.48923 | + | 3.29345i | −0.201572 | + | 0.147880i | ||||
\(497\) | 22.5277 | − | 22.5277i | 1.01051 | − | 1.01051i | ||||
\(498\) | 14.0019 | − | 4.34126i | 0.627439 | − | 0.194536i | ||||
\(499\) | −16.0399 | − | 14.4424i | −0.718044 | − | 0.646530i | 0.226841 | − | 0.973932i | \(-0.427160\pi\) |
−0.944885 | + | 0.327402i | \(0.893827\pi\) | |||||||
\(500\) | 5.85303 | + | 9.52586i | 0.261755 | + | 0.426010i | ||||
\(501\) | 23.5609 | − | 28.3048i | 1.05262 | − | 1.26456i | ||||
\(502\) | 1.09112 | − | 4.07210i | 0.0486989 | − | 0.181747i | ||||
\(503\) | −1.74879 | + | 1.41614i | −0.0779747 | + | 0.0631427i | −0.667515 | − | 0.744596i | \(-0.732642\pi\) |
0.589541 | + | 0.807739i | \(0.299309\pi\) | |||||||
\(504\) | −11.4117 | + | 3.36989i | −0.508318 | + | 0.150107i | ||||
\(505\) | 0.328999 | − | 12.7569i | 0.0146403 | − | 0.567676i | ||||
\(506\) | −4.57539 | + | 4.11970i | −0.203401 | + | 0.183143i | ||||
\(507\) | 11.3789 | − | 19.1080i | 0.505354 | − | 0.848614i | ||||
\(508\) | −4.23761 | + | 6.52535i | −0.188014 | + | 0.289516i | ||||
\(509\) | −6.86036 | − | 1.45822i | −0.304080 | − | 0.0646343i | 0.0533446 | − | 0.998576i | \(-0.483012\pi\) |
−0.357425 | + | 0.933942i | \(0.616345\pi\) | |||||||
\(510\) | −0.721247 | − | 11.0081i | −0.0319373 | − | 0.487446i | ||||
\(511\) | 17.0566 | + | 52.4948i | 0.754539 | + | 2.32223i | ||||
\(512\) | 0.891007 | + | 0.453990i | 0.0393773 | + | 0.0200637i | ||||
\(513\) | 5.82522 | − | 39.8228i | 0.257190 | − | 1.75822i | ||||
\(514\) | 0.478053 | − | 2.24906i | 0.0210860 | − | 0.0992018i | ||||
\(515\) | 8.33492 | + | 7.11299i | 0.367281 | + | 0.313436i | ||||
\(516\) | −0.115744 | − | 0.456547i | −0.00509536 | − | 0.0200984i | ||||
\(517\) | −0.231561 | + | 4.41844i | −0.0101840 | + | 0.194323i | ||||
\(518\) | 24.7055 | − | 30.5088i | 1.08550 | − | 1.34048i | ||||
\(519\) | −18.5312 | − | 37.6173i | −0.813429 | − | 1.65122i | ||||
\(520\) | 0.869934 | + | 0.208488i | 0.0381491 | + | 0.00914282i | ||||
\(521\) | 13.4961 | − | 7.79199i | 0.591276 | − | 0.341373i | −0.174326 | − | 0.984688i | \(-0.555775\pi\) |
0.765602 | + | 0.643315i | \(0.222441\pi\) | |||||||
\(522\) | −18.7871 | − | 1.49443i | −0.822287 | − | 0.0654096i | ||||
\(523\) | −13.5248 | + | 2.14212i | −0.591398 | + | 0.0936682i | −0.444958 | − | 0.895551i | \(-0.646781\pi\) |
−0.146440 | + | 0.989220i | \(0.546781\pi\) | |||||||
\(524\) | −12.1046 | + | 13.4436i | −0.528794 | + | 0.587285i | ||||
\(525\) | 25.2320 | + | 23.3068i | 1.10122 | + | 1.01719i | ||||
\(526\) | −22.4499 | −0.978863 | ||||||||
\(527\) | −10.0373 | − | 12.2785i | −0.437233 | − | 0.534860i | ||||
\(528\) | −1.20344 | + | 0.849754i | −0.0523732 | + | 0.0369808i | ||||
\(529\) | 27.9573 | + | 9.08386i | 1.21553 | + | 0.394951i | ||||
\(530\) | −16.6811 | − | 19.5154i | −0.724581 | − | 0.847696i | ||||
\(531\) | 32.8798 | − | 22.5571i | 1.42686 | − | 0.978893i | ||||
\(532\) | 29.6740 | − | 7.95113i | 1.28653 | − | 0.344725i | ||||
\(533\) | 0.0663184 | − | 0.247504i | 0.00287257 | − | 0.0107206i | ||||
\(534\) | −4.32179 | + | 15.2993i | −0.187022 | + | 0.662067i | ||||
\(535\) | −4.76179 | − | 1.40846i | −0.205870 | − | 0.0608929i | ||||
\(536\) | 7.99814 | − | 0.840639i | 0.345467 | − | 0.0363101i | ||||
\(537\) | −2.45090 | + | 10.8104i | −0.105764 | + | 0.466501i | ||||
\(538\) | 3.50581 | − | 9.13295i | 0.151146 | − | 0.393749i | ||||
\(539\) | 7.26439 | − | 1.54409i | 0.312899 | − | 0.0665088i | ||||
\(540\) | −11.5934 | − | 0.769917i | −0.498901 | − | 0.0331319i | ||||
\(541\) | 1.29278 | + | 0.575582i | 0.0555809 | + | 0.0247462i | 0.434339 | − | 0.900750i | \(-0.356982\pi\) |
−0.378758 | + | 0.925496i | \(0.623649\pi\) | |||||||
\(542\) | −0.989341 | − | 0.504095i | −0.0424959 | − | 0.0216527i | ||||
\(543\) | −6.83876 | + | 9.15020i | −0.293479 | + | 0.392673i | ||||
\(544\) | −1.15854 | + | 2.60212i | −0.0496719 | + | 0.111565i | ||||
\(545\) | −20.2034 | − | 7.14540i | −0.865418 | − | 0.306075i | ||||
\(546\) | 2.74629 | − | 0.106748i | 0.117530 | − | 0.00456840i | ||||
\(547\) | 38.6786 | + | 14.8473i | 1.65378 | + | 0.634826i | 0.993252 | − | 0.115977i | \(-0.0370000\pi\) |
0.660526 | + | 0.750803i | \(0.270333\pi\) | |||||||
\(548\) | −0.418894 | + | 7.99298i | −0.0178943 | + | 0.341443i | ||||
\(549\) | −8.89045 | − | 2.14230i | −0.379435 | − | 0.0914311i | ||||
\(550\) | 3.88650 | + | 1.72670i | 0.165721 | + | 0.0736265i | ||||
\(551\) | 48.3915 | + | 5.08616i | 2.06155 | + | 0.216678i | ||||
\(552\) | 11.3836 | + | 5.25371i | 0.484519 | + | 0.223613i | ||||
\(553\) | 4.02636 | + | 15.0266i | 0.171218 | + | 0.638995i | ||||
\(554\) | −16.1104 | − | 11.7049i | −0.684465 | − | 0.497293i | ||||
\(555\) | 32.9449 | − | 19.5991i | 1.39843 | − | 0.831935i | ||||
\(556\) | −1.15387 | + | 3.55124i | −0.0489349 | + | 0.150606i | ||||
\(557\) | 14.2745 | − | 14.2745i | 0.604829 | − | 0.604829i | −0.336761 | − | 0.941590i | \(-0.609332\pi\) |
0.941590 | + | 0.336761i | \(0.109332\pi\) | |||||||
\(558\) | −14.2087 | + | 8.78132i | −0.601504 | + | 0.371743i | ||||
\(559\) | 0.108788i | 0.00460123i | ||||||||
\(560\) | −2.96381 | − | 8.35903i | −0.125244 | − | 0.353233i | ||||
\(561\) | −2.59650 | − | 3.29648i | −0.109624 | − | 0.139178i | ||||
\(562\) | 2.51164 | + | 15.8579i | 0.105947 | + | 0.668925i | ||||
\(563\) | 16.1157 | − | 4.31819i | 0.679196 | − | 0.181990i | 0.0973025 | − | 0.995255i | \(-0.468979\pi\) |
0.581894 | + | 0.813265i | \(0.302312\pi\) | |||||||
\(564\) | 8.45432 | − | 3.11494i | 0.355991 | − | 0.131162i | ||||
\(565\) | 18.7016 | + | 30.4911i | 0.786781 | + | 1.28277i | ||||
\(566\) | −3.46918 | − | 4.77492i | −0.145821 | − | 0.200705i | ||||
\(567\) | −34.9290 | + | 7.36316i | −1.46688 | + | 0.309223i | ||||
\(568\) | −8.02142 | − | 0.420385i | −0.336571 | − | 0.0176390i | ||||
\(569\) | −10.4477 | + | 4.65161i | −0.437990 | + | 0.195006i | −0.613872 | − | 0.789406i | \(-0.710389\pi\) |
0.175882 | + | 0.984411i | \(0.443722\pi\) | |||||||
\(570\) | 29.8722 | + | 2.74558i | 1.25121 | + | 0.115000i | ||||
\(571\) | −26.0284 | − | 5.53250i | −1.08925 | − | 0.231528i | −0.371925 | − | 0.928263i | \(-0.621302\pi\) |
−0.717329 | + | 0.696735i | \(0.754635\pi\) | |||||||
\(572\) | 0.317677 | − | 0.121945i | 0.0132827 | − | 0.00509876i | ||||
\(573\) | 5.36134 | + | 4.00701i | 0.223973 | + | 0.167395i | ||||
\(574\) | −2.41602 | + | 0.785014i | −0.100843 | + | 0.0327658i | ||||
\(575\) | −3.81164 | − | 35.9913i | −0.158957 | − | 1.50094i | ||||
\(576\) | 2.55660 | + | 1.56964i | 0.106525 | + | 0.0654017i | ||||
\(577\) | 28.2473 | + | 18.3440i | 1.17595 | + | 0.763670i | 0.976348 | − | 0.216207i | \(-0.0693687\pi\) |
0.199601 | + | 0.979877i | \(0.436035\pi\) | |||||||
\(578\) | 8.29653 | + | 3.18474i | 0.345090 | + | 0.132468i | ||||
\(579\) | 19.7125 | + | 31.2715i | 0.819224 | + | 1.29960i | ||||
\(580\) | 0.362157 | − | 14.0426i | 0.0150377 | − | 0.583088i | ||||
\(581\) | 19.7315 | + | 27.1581i | 0.818601 | + | 1.12671i | ||||
\(582\) | −5.76055 | + | 3.22289i | −0.238782 | + | 0.133593i | ||||
\(583\) | −9.43286 | − | 2.52753i | −0.390669 | − | 0.104680i | ||||
\(584\) | 6.95816 | − | 12.0519i | 0.287931 | − | 0.498711i | ||||
\(585\) | 2.55199 | + | 0.830441i | 0.105512 | + | 0.0343345i | ||||
\(586\) | −7.28524 | + | 8.09108i | −0.300951 | + | 0.334239i | ||||
\(587\) | 2.76856 | + | 5.43361i | 0.114271 | + | 0.224269i | 0.941058 | − | 0.338246i | \(-0.109834\pi\) |
−0.826787 | + | 0.562515i | \(0.809834\pi\) | |||||||
\(588\) | −8.72322 | − | 12.3541i | −0.359740 | − | 0.509473i | ||||
\(589\) | 37.2472 | − | 21.7350i | 1.53474 | − | 0.895576i | ||||
\(590\) | 18.1017 | + | 23.5713i | 0.745236 | + | 0.970415i | ||||
\(591\) | 6.91311 | − | 13.1263i | 0.284367 | − | 0.539944i | ||||
\(592\) | −9.88421 | + | 0.518010i | −0.406239 | + | 0.0212901i | ||||
\(593\) | 3.97860 | + | 25.1199i | 0.163382 | + | 1.03155i | 0.924011 | + | 0.382365i | \(0.124890\pi\) |
−0.760630 | + | 0.649186i | \(0.775110\pi\) | |||||||
\(594\) | −3.80111 | + | 2.25495i | −0.155961 | + | 0.0925218i | ||||
\(595\) | 23.3352 | − | 9.67656i | 0.956648 | − | 0.396700i | ||||
\(596\) | 5.21298 | + | 0.547906i | 0.213532 | + | 0.0224431i | ||||
\(597\) | −0.415257 | + | 1.22163i | −0.0169954 | + | 0.0499978i | ||||
\(598\) | −2.25051 | − | 1.82242i | −0.0920300 | − | 0.0745244i | ||||
\(599\) | 15.1963 | + | 16.8772i | 0.620905 | + | 0.689585i | 0.968770 | − | 0.247960i | \(-0.0797601\pi\) |
−0.347865 | + | 0.937544i | \(0.613093\pi\) | |||||||
\(600\) | 0.110136 | − | 8.65955i | 0.00449630 | − | 0.353525i | ||||
\(601\) | 44.1545 | − | 9.38533i | 1.80110 | − | 0.382836i | 0.819393 | − | 0.573232i | \(-0.194311\pi\) |
0.981707 | + | 0.190396i | \(0.0609772\pi\) | |||||||
\(602\) | 0.904541 | − | 0.587416i | 0.0368663 | − | 0.0239413i | ||||
\(603\) | 24.1189 | − | 0.611326i | 0.982196 | − | 0.0248951i | ||||
\(604\) | 8.97472 | − | 2.91606i | 0.365176 | − | 0.118653i | ||||
\(605\) | −22.5926 | + | 4.19654i | −0.918520 | + | 0.170614i | ||||
\(606\) | −5.49513 | + | 8.21657i | −0.223224 | + | 0.333776i | ||||
\(607\) | −15.9897 | − | 24.6219i | −0.649001 | − | 0.999374i | −0.998059 | − | 0.0622727i | \(-0.980165\pi\) |
0.349058 | − | 0.937101i | \(-0.386502\pi\) | |||||||
\(608\) | −6.49590 | − | 4.21849i | −0.263443 | − | 0.171082i | ||||
\(609\) | −10.6057 | − | 41.8337i | −0.429766 | − | 1.69519i | ||||
\(610\) | 1.23950 | − | 6.70257i | 0.0501861 | − | 0.271379i | ||||
\(611\) | −2.06968 | + | 0.217532i | −0.0837301 | + | 0.00880039i | ||||
\(612\) | −4.08367 | + | 7.50617i | −0.165073 | + | 0.303419i | ||||
\(613\) | 9.97950 | + | 12.3237i | 0.403068 | + | 0.497748i | 0.937753 | − | 0.347304i | \(-0.112903\pi\) |
−0.534684 | + | 0.845052i | \(0.679569\pi\) | |||||||
\(614\) | 5.17343 | + | 8.96064i | 0.208782 | + | 0.361622i | ||||
\(615\) | −2.47868 | − | 0.0974462i | −0.0999499 | − | 0.00392941i | ||||
\(616\) | −2.72928 | − | 1.98294i | −0.109966 | − | 0.0798949i | ||||
\(617\) | 0.642362 | + | 12.2570i | 0.0258605 | + | 0.493448i | 0.980602 | + | 0.196011i | \(0.0627987\pi\) |
−0.954741 | + | 0.297438i | \(0.903868\pi\) | |||||||
\(618\) | −2.51353 | − | 8.10688i | −0.101109 | − | 0.326107i | ||||
\(619\) | − | 20.6576i | − | 0.830300i | −0.909753 | − | 0.415150i | \(-0.863729\pi\) | ||
0.909753 | − | 0.415150i | \(-0.136271\pi\) | |||||||
\(620\) | −7.10314 | − | 10.2247i | −0.285269 | − | 0.410636i | ||||
\(621\) | 32.7935 | + | 18.4195i | 1.31596 | + | 0.739149i | ||||
\(622\) | −23.4692 | + | 11.9582i | −0.941030 | + | 0.479479i | ||||
\(623\) | −36.3557 | + | 1.90532i | −1.45656 | + | 0.0763351i | ||||
\(624\) | −0.483311 | − | 0.496550i | −0.0193479 | − | 0.0198779i | ||||
\(625\) | −21.6308 | + | 12.5343i | −0.865233 | + | 0.501371i | ||||
\(626\) | −14.2546 | + | 8.22988i | −0.569727 | + | 0.328932i | ||||
\(627\) | 9.95816 | − | 5.57135i | 0.397691 | − | 0.222498i | ||||
\(628\) | −3.30771 | + | 20.8841i | −0.131992 | + | 0.833365i | ||||
\(629\) | −2.94692 | − | 28.0381i | −0.117501 | − | 1.11795i | ||||
\(630\) | −6.87494 | − | 25.7032i | −0.273904 | − | 1.02404i | ||||
\(631\) | −21.0284 | + | 9.36247i | −0.837129 | + | 0.372714i | −0.780097 | − | 0.625658i | \(-0.784830\pi\) |
−0.0570320 | + | 0.998372i | \(0.518164\pi\) | |||||||
\(632\) | 2.13619 | − | 3.28944i | 0.0849730 | − | 0.130847i | ||||
\(633\) | −7.42255 | − | 17.2965i | −0.295020 | − | 0.687472i | ||||
\(634\) | 8.88836 | − | 19.9636i | 0.353002 | − | 0.792855i | ||||
\(635\) | −14.3420 | − | 9.84862i | −0.569144 | − | 0.390830i | ||||
\(636\) | 2.84529 | + | 19.6817i | 0.112823 | + | 0.780432i | ||||
\(637\) | 1.25183 | + | 3.26114i | 0.0495995 | + | 0.129211i | ||||
\(638\) | −2.91019 | − | 4.48130i | −0.115216 | − | 0.177416i | ||||
\(639\) | −23.8885 | − | 3.16537i | −0.945014 | − | 0.125220i | ||||
\(640\) | −1.06618 | + | 1.96552i | −0.0421445 | + | 0.0776939i | ||||
\(641\) | −15.9181 | + | 14.3327i | −0.628726 | + | 0.566107i | −0.920677 | − | 0.390326i | \(-0.872362\pi\) |
0.291951 | + | 0.956433i | \(0.405696\pi\) | |||||||
\(642\) | 2.53492 | + | 2.89297i | 0.100045 | + | 0.114176i | ||||
\(643\) | −7.04176 | + | 44.4599i | −0.277700 | + | 1.75333i | 0.316109 | + | 0.948723i | \(0.397624\pi\) |
−0.593809 | + | 0.804606i | \(0.702376\pi\) | |||||||
\(644\) | −3.00102 | + | 28.5528i | −0.118257 | + | 1.12514i | ||||
\(645\) | 1.02720 | − | 0.232407i | 0.0404461 | − | 0.00915101i | ||||
\(646\) | 11.0310 | − | 19.1062i | 0.434008 | − | 0.751724i | ||||
\(647\) | 20.5275 | − | 3.25123i | 0.807017 | − | 0.127819i | 0.260725 | − | 0.965413i | \(-0.416039\pi\) |
0.546293 | + | 0.837594i | \(0.316039\pi\) | |||||||
\(648\) | 7.27227 | + | 5.30228i | 0.285682 | + | 0.208293i | ||||
\(649\) | 10.7517 | + | 3.49342i | 0.422039 | + | 0.137129i | ||||
\(650\) | −0.516190 | + | 1.93257i | −0.0202466 | + | 0.0758014i | ||||
\(651\) | −29.5105 | − | 24.3343i | −1.15661 | − | 0.953738i | ||||
\(652\) | −7.39255 | − | 7.39255i | −0.289515 | − | 0.289515i | ||||
\(653\) | −22.7862 | + | 11.6101i | −0.891692 | + | 0.454340i | −0.838912 | − | 0.544266i | \(-0.816808\pi\) |
−0.0527797 | + | 0.998606i | \(0.516808\pi\) | |||||||
\(654\) | 10.2711 | + | 13.0401i | 0.401633 | + | 0.509908i | ||||
\(655\) | −29.3529 | − | 27.8328i | −1.14691 | − | 1.08752i | ||||
\(656\) | 0.554677 | + | 0.320243i | 0.0216565 | + | 0.0125034i | ||||
\(657\) | 23.6757 | − | 34.3866i | 0.923678 | − | 1.34155i | ||||
\(658\) | 12.9842 | + | 16.0342i | 0.506178 | + | 0.625078i | ||||
\(659\) | 3.47473 | − | 2.52454i | 0.135356 | − | 0.0983421i | −0.518047 | − | 0.855352i | \(-0.673341\pi\) |
0.653403 | + | 0.757010i | \(0.273341\pi\) | |||||||
\(660\) | −1.83010 | − | 2.73908i | −0.0712365 | − | 0.106618i | ||||
\(661\) | 18.8069 | + | 20.8872i | 0.731504 | + | 0.812417i | 0.988053 | − | 0.154114i | \(-0.0492523\pi\) |
−0.256549 | + | 0.966531i | \(0.582586\pi\) | |||||||
\(662\) | −0.339798 | + | 0.885204i | −0.0132066 | + | 0.0344044i | ||||
\(663\) | 1.34037 | − | 1.44879i | 0.0520557 | − | 0.0562662i | ||||
\(664\) | 1.75969 | − | 8.27868i | 0.0682891 | − | 0.321275i | ||||
\(665\) | 16.0627 | + | 66.7895i | 0.622885 | + | 2.58999i | ||||
\(666\) | −29.6825 | − | 0.802184i | −1.15017 | − | 0.0310840i | ||||
\(667\) | −20.6444 | + | 40.5170i | −0.799356 | + | 1.56882i | ||||
\(668\) | −7.61979 | − | 19.8502i | −0.294818 | − | 0.768028i | ||||
\(669\) | −39.4330 | − | 15.7514i | −1.52457 | − | 0.608982i | ||||
\(670\) | 1.41802 | + | 17.9269i | 0.0547828 | + | 0.692577i | ||||
\(671\) | −1.05457 | − | 2.36861i | −0.0407114 | − | 0.0914393i | ||||
\(672\) | −1.51896 | + | 6.69980i | −0.0585953 | + | 0.258450i | ||||
\(673\) | 7.97564 | + | 6.45855i | 0.307438 | + | 0.248959i | 0.770606 | − | 0.637312i | \(-0.219954\pi\) |
−0.463167 | + | 0.886271i | \(0.653287\pi\) | |||||||
\(674\) | −24.9471 | + | 18.1252i | −0.960928 | + | 0.698155i | ||||
\(675\) | 2.38936 | − | 25.8707i | 0.0919665 | − | 0.995762i | ||||
\(676\) | −6.41997 | − | 11.1197i | −0.246922 | − | 0.427682i | ||||
\(677\) | 4.57751 | + | 17.0835i | 0.175928 | + | 0.656572i | 0.996392 | + | 0.0848737i | \(0.0270487\pi\) |
−0.820464 | + | 0.571699i | \(0.806285\pi\) | |||||||
\(678\) | 0.374294 | − | 27.7044i | 0.0143747 | − | 1.06398i | ||||
\(679\) | −11.2330 | − | 10.1143i | −0.431084 | − | 0.388149i | ||||
\(680\) | −5.74979 | − | 2.73971i | −0.220494 | − | 0.105063i | ||||
\(681\) | −17.4116 | − | 2.99939i | −0.667215 | − | 0.114937i | ||||
\(682\) | −4.42898 | − | 1.67666i | −0.169594 | − | 0.0642026i | ||||
\(683\) | −4.44349 | − | 4.44349i | −0.170025 | − | 0.170025i | 0.616965 | − | 0.786991i | \(-0.288362\pi\) |
−0.786991 | + | 0.616965i | \(0.788362\pi\) | |||||||
\(684\) | −18.4228 | − | 14.1609i | −0.704414 | − | 0.541455i | ||||
\(685\) | −17.8427 | − | 1.39715i | −0.681736 | − | 0.0533823i | ||||
\(686\) | 4.03671 | − | 5.55606i | 0.154122 | − | 0.212131i | ||||
\(687\) | 2.18244 | + | 23.8612i | 0.0832652 | + | 0.910360i | ||||
\(688\) | −0.262661 | − | 0.0703798i | −0.0100139 | − | 0.00268320i | ||||
\(689\) | 0.480128 | − | 4.56812i | 0.0182914 | − | 0.174031i | ||||
\(690\) | −12.4000 | + | 25.1432i | −0.472060 | + | 0.957185i | ||||
\(691\) | −3.36386 | − | 32.0050i | −0.127967 | − | 1.21753i | −0.850419 | − | 0.526105i | \(-0.823652\pi\) |
0.722452 | − | 0.691421i | \(-0.243015\pi\) | |||||||
\(692\) | −24.1775 | − | 1.26709i | −0.919090 | − | 0.0481675i | ||||
\(693\) | −7.69035 | − | 6.57934i | −0.292132 | − | 0.249929i | ||||
\(694\) | −0.996321 | − | 4.68732i | −0.0378198 | − | 0.177928i | ||||
\(695\) | −7.87166 | − | 2.78399i | −0.298589 | − | 0.105603i | ||||
\(696\) | −6.04894 | + | 9.04467i | −0.229285 | + | 0.342837i | ||||
\(697\) | −0.828234 | + | 1.62550i | −0.0313716 | + | 0.0615702i | ||||
\(698\) | −13.7457 | + | 26.9775i | −0.520283 | + | 1.02111i | ||||
\(699\) | −15.9371 | + | 23.8299i | −0.602796 | + | 0.901329i | ||||
\(700\) | 18.8560 | − | 6.14319i | 0.712690 | − | 0.232191i | ||||
\(701\) | −1.18262 | − | 5.56377i | −0.0446668 | − | 0.210141i | 0.950155 | − | 0.311779i | \(-0.100925\pi\) |
−0.994821 | + | 0.101638i | \(0.967592\pi\) | |||||||
\(702\) | −1.32725 | − | 1.59993i | −0.0500937 | − | 0.0603855i | ||||
\(703\) | 76.5579 | + | 4.01223i | 2.88743 | + | 0.151324i | ||||
\(704\) | 0.0889078 | + | 0.845901i | 0.00335084 | + | 0.0318811i | ||||
\(705\) | 6.47551 | + | 19.0777i | 0.243882 | + | 0.718509i | ||||
\(706\) | 0.121085 | − | 1.15205i | 0.00455711 | − | 0.0433580i | ||||
\(707\) | −21.8642 | − | 5.85851i | −0.822290 | − | 0.220332i | ||||
\(708\) | −2.09684 | − | 22.9253i | −0.0788042 | − | 0.861586i | ||||
\(709\) | −17.5360 | + | 24.1363i | −0.658580 | + | 0.906457i | −0.999433 | − | 0.0336593i | \(-0.989284\pi\) |
0.340854 | + | 0.940116i | \(0.389284\pi\) | |||||||
\(710\) | 1.40212 | − | 17.9062i | 0.0526207 | − | 0.672010i | ||||
\(711\) | 7.17090 | − | 9.32908i | 0.268930 | − | 0.349868i | ||||
\(712\) | 6.49035 | + | 6.49035i | 0.243236 | + | 0.243236i | ||||
\(713\) | 6.48875 | + | 39.7765i | 0.243005 | + | 1.48964i | ||||
\(714\) | −19.2838 | − | 3.32189i | −0.721678 | − | 0.124319i | ||||
\(715\) | 0.254272 | + | 0.717141i | 0.00950925 | + | 0.0268195i | ||||
\(716\) | 4.75595 | + | 4.28227i | 0.177738 | + | 0.160036i | ||||
\(717\) | −0.203942 | + | 15.0953i | −0.00761635 | + | 0.563745i | ||||
\(718\) | 1.86086 | + | 6.94483i | 0.0694468 | + | 0.259179i | ||||
\(719\) | −12.6772 | − | 21.9576i | −0.472780 | − | 0.818880i | 0.526734 | − | 0.850030i | \(-0.323416\pi\) |
−0.999515 | + | 0.0311503i | \(0.990083\pi\) | |||||||
\(720\) | −3.65604 | + | 5.62435i | −0.136253 | + | 0.209607i | ||||
\(721\) | 15.7241 | − | 11.4243i | 0.585598 | − | 0.425462i | ||||
\(722\) | 31.8570 | + | 25.7973i | 1.18559 | + | 0.960076i | ||||
\(723\) | 8.04940 | − | 35.5040i | 0.299360 | − | 1.32041i | ||||
\(724\) | 2.68256 | + | 6.02513i | 0.0996966 | + | 0.223922i | ||||
\(725\) | 31.3689 | + | 1.61908i | 1.16501 | + | 0.0601309i | ||||
\(726\) | 16.5296 | + | 6.60267i | 0.613470 | + | 0.245048i | ||||
\(727\) | −14.3822 | − | 37.4670i | −0.533407 | − | 1.38957i | −0.890277 | − | 0.455419i | \(-0.849489\pi\) |
0.356870 | − | 0.934154i | \(-0.383844\pi\) | |||||||
\(728\) | 0.720378 | − | 1.41382i | 0.0266990 | − | 0.0523997i | ||||
\(729\) | 20.4868 | + | 17.5867i | 0.758769 | + | 0.651360i | ||||
\(730\) | 26.5388 | + | 16.2485i | 0.982243 | + | 0.601385i | ||||
\(731\) | 0.161038 | − | 0.757622i | 0.00595619 | − | 0.0280217i | ||||
\(732\) | −3.58557 | + | 3.87559i | −0.132527 | + | 0.143246i | ||||
\(733\) | 6.91016 | − | 18.0016i | 0.255233 | − | 0.664904i | −0.744764 | − | 0.667327i | \(-0.767438\pi\) |
0.999997 | + | 0.00242377i | \(0.000771511\pi\) | |||||||
\(734\) | 8.47214 | + | 9.40926i | 0.312712 | + | 0.347302i | ||||
\(735\) | 28.1182 | − | 18.7870i | 1.03716 | − | 0.692970i | ||||
\(736\) | 5.85608 | − | 4.25469i | 0.215858 | − | 0.156830i | ||||
\(737\) | 4.30479 | + | 5.31597i | 0.158569 | + | 0.195816i | ||||
\(738\) | 1.58261 | + | 1.08965i | 0.0582567 | + | 0.0401107i | ||||
\(739\) | −4.02869 | − | 2.32596i | −0.148198 | − | 0.0855620i | 0.424068 | − | 0.905631i | \(-0.360602\pi\) |
−0.572265 | + | 0.820069i | \(0.693935\pi\) | |||||||
\(740\) | −0.588108 | − | 22.1243i | −0.0216193 | − | 0.813305i | ||||
\(741\) | 3.32095 | + | 4.21624i | 0.121998 | + | 0.154887i | ||||
\(742\) | −40.5752 | + | 20.6741i | −1.48956 | + | 0.758969i | ||||
\(743\) | 19.1925 | + | 19.1925i | 0.704105 | + | 0.704105i | 0.965289 | − | 0.261184i | \(-0.0841129\pi\) |
−0.261184 | + | 0.965289i | \(0.584113\pi\) | |||||||
\(744\) | 0.419140 | + | 9.63454i | 0.0153664 | + | 0.353219i | ||||
\(745\) | −1.52527 | + | 11.6211i | −0.0558815 | + | 0.425765i | ||||
\(746\) | −2.94750 | − | 0.957701i | −0.107916 | − | 0.0350639i | ||||
\(747\) | 7.23182 | − | 24.3392i | 0.264599 | − | 0.890526i | ||||
\(748\) | −2.39289 | + | 0.378996i | −0.0874925 | + | 0.0138575i | ||||
\(749\) | −4.40406 | + | 7.62805i | −0.160921 | + | 0.278723i | ||||
\(750\) | 19.3506 | + | 0.745402i | 0.706583 | + | 0.0272182i | ||||
\(751\) | 2.12805 | − | 20.2471i | 0.0776538 | − | 0.738826i | −0.884541 | − | 0.466463i | \(-0.845528\pi\) |
0.962194 | − | 0.272363i | \(-0.0878052\pi\) | |||||||
\(752\) | 0.813752 | − | 5.13783i | 0.0296745 | − | 0.187357i | ||||
\(753\) | −4.81217 | − | 5.49187i | −0.175365 | − | 0.200135i | ||||
\(754\) | 1.86771 | − | 1.68169i | 0.0680179 | − | 0.0612436i | ||||
\(755\) | 6.00097 | + | 20.2295i | 0.218398 | + | 0.736228i | ||||
\(756\) | −6.13633 | + | 19.6748i | −0.223176 | + | 0.715564i | ||||
\(757\) | −13.7628 | − | 21.1928i | −0.500216 | − | 0.770265i | 0.494903 | − | 0.868948i | \(-0.335204\pi\) |
−0.995119 | + | 0.0986832i | \(0.968537\pi\) | |||||||
\(758\) | 2.62110 | + | 6.82820i | 0.0952027 | + | 0.248012i | ||||
\(759\) | 1.52576 | + | 10.5542i | 0.0553816 | + | 0.383092i | ||||
\(760\) | 9.80416 | − | 14.2773i | 0.355634 | − | 0.517890i | ||||
\(761\) | 1.32760 | − | 2.98184i | 0.0481255 | − | 0.108092i | −0.887883 | − | 0.460070i | \(-0.847824\pi\) |
0.936008 | + | 0.351978i | \(0.114491\pi\) | |||||||
\(762\) | 5.31452 | + | 12.3842i | 0.192525 | + | 0.448632i | ||||
\(763\) | −20.7026 | + | 31.8793i | −0.749486 | + | 1.15411i | ||||
\(764\) | 3.53028 | − | 1.57178i | 0.127721 | − | 0.0568650i | ||||
\(765\) | −16.5433 | − | 9.56106i | −0.598124 | − | 0.345681i | ||||
\(766\) | 1.14495 | + | 10.8935i | 0.0413689 | + | 0.393599i | ||||
\(767\) | −0.831811 | + | 5.25185i | −0.0300349 | + | 0.189633i | ||||
\(768\) | 1.51156 | − | 0.845683i | 0.0545438 | − | 0.0305159i | ||||
\(769\) | −15.7604 | + | 9.09924i | −0.568333 | + | 0.328127i | −0.756483 | − | 0.654013i | \(-0.773084\pi\) |
0.188150 | + | 0.982140i | \(0.439751\pi\) | |||||||
\(770\) | 4.58985 | − | 5.98651i | 0.165407 | − | 0.215739i | ||||
\(771\) | −2.77776 | − | 2.85385i | −0.100039 | − | 0.102779i | ||||
\(772\) | 21.3131 | − | 1.11697i | 0.767076 | − | 0.0402007i | ||||
\(773\) | 22.4877 | − | 11.4581i | 0.808827 | − | 0.412118i | −0.000119364 | − | 1.00000i | \(-0.500038\pi\) |
0.808947 | + | 0.587882i | \(0.200038\pi\) | |||||||
\(774\) | −0.768759 | − | 0.272958i | −0.0276325 | − | 0.00981127i | ||||
\(775\) | 23.2651 | − | 15.2884i | 0.835708 | − | 0.549175i | ||||
\(776\) | 3.81099i | 0.136807i | ||||||||
\(777\) | −20.1364 | − | 64.9460i | −0.722389 | − | 2.32992i | ||||
\(778\) | −0.0501097 | − | 0.956150i | −0.00179652 | − | 0.0342796i | ||||
\(779\) | −4.01342 | − | 2.91592i | −0.143796 | − | 0.104474i | ||||
\(780\) | 1.13781 | − | 1.05173i | 0.0407402 | − | 0.0376581i | ||||
\(781\) | −3.41604 | − | 5.91675i | −0.122235 | − | 0.211718i | ||||
\(782\) | 12.9753 | + | 16.0232i | 0.463996 | + | 0.572987i | ||||
\(783\) | −20.2413 | + | 25.6096i | −0.723365 | + | 0.915212i | ||||
\(784\) | −8.68367 | + | 0.912691i | −0.310131 | + | 0.0325961i | ||||
\(785\) | −46.4920 | − | 8.59775i | −1.65937 | − | 0.306867i | ||||
\(786\) | 7.69998 | + | 30.3721i | 0.274649 | + | 1.08334i | ||||
\(787\) | −34.0617 | − | 22.1199i | −1.21417 | − | 0.788491i | −0.231316 | − | 0.972879i | \(-0.574303\pi\) |
−0.982854 | + | 0.184388i | \(0.940970\pi\) | |||||||
\(788\) | −4.66497 | − | 7.18343i | −0.166183 | − | 0.255899i | ||||
\(789\) | −21.6166 | + | 32.3221i | −0.769570 | + | 1.15070i | ||||
\(790\) | 7.22982 | + | 4.96471i | 0.257226 | + | 0.176636i | ||||
\(791\) | 60.3419 | − | 19.6063i | 2.14551 | − | 0.697119i | ||||
\(792\) | 0.0646552 | + | 2.55086i | 0.00229742 | + | 0.0906410i | ||||
\(793\) | 1.02277 | − | 0.664195i | 0.0363197 | − | 0.0235863i | ||||
\(794\) | 27.1617 | − | 5.77339i | 0.963932 | − | 0.204890i | ||||
\(795\) | −44.1591 | + | 5.22552i | −1.56616 | + | 0.185330i | ||||
\(796\) | 0.498462 | + | 0.553598i | 0.0176675 | + | 0.0196218i | ||||
\(797\) | 31.5917 | + | 25.5824i | 1.11903 | + | 0.906176i | 0.996273 | − | 0.0862606i | \(-0.0274918\pi\) |
0.122761 | + | 0.992436i | \(0.460825\pi\) | |||||||
\(798\) | 17.1249 | − | 50.3790i | 0.606216 | − | 1.78340i | ||||
\(799\) | 14.7357 | + | 1.54878i | 0.521311 | + | 0.0547920i | ||||
\(800\) | −4.33210 | − | 2.49657i | −0.153163 | − | 0.0882671i | ||||
\(801\) | 17.8658 | + | 20.9537i | 0.631256 | + | 0.740362i | ||||
\(802\) | 1.76649 | + | 11.1532i | 0.0623770 | + | 0.393833i | ||||
\(803\) | 11.8205 | − | 0.619484i | 0.417135 | − | 0.0218611i | ||||
\(804\) | 6.49095 | − | 12.3247i | 0.228918 | − | 0.434659i | ||||
\(805\) | −63.6518 | − | 8.35428i | −2.24343 | − | 0.294450i | ||||
\(806\) | 0.453030 | − | 2.18090i | 0.0159573 | − | 0.0768189i | ||||
\(807\) | −9.77343 | − | 13.8414i | −0.344041 | − | 0.487240i | ||||
\(808\) | 2.59091 | + | 5.08495i | 0.0911479 | + | 0.178888i | ||||
\(809\) | 4.25865 | − | 4.72972i | 0.149726 | − | 0.166288i | −0.663616 | − | 0.748073i | \(-0.730979\pi\) |
0.813342 | + | 0.581786i | \(0.197646\pi\) | |||||||
\(810\) | −12.2715 | + | 15.9502i | −0.431178 | + | 0.560433i | ||||
\(811\) | −2.75425 | + | 4.77050i | −0.0967148 | + | 0.167515i | −0.910323 | − | 0.413899i | \(-0.864167\pi\) |
0.813608 | + | 0.581414i | \(0.197500\pi\) | |||||||
\(812\) | −24.0678 | − | 6.44895i | −0.844614 | − | 0.226314i | ||||
\(813\) | −1.67838 | + | 0.939016i | −0.0588635 | + | 0.0329327i | ||||
\(814\) | −4.94836 | − | 6.81084i | −0.173440 | − | 0.238720i | ||||
\(815\) | 16.9509 | − | 16.0986i | 0.593765 | − | 0.563909i | ||||
\(816\) | 2.63085 | + | 4.17352i | 0.0920981 | + | 0.146102i | ||||
\(817\) | 1.96631 | + | 0.754794i | 0.0687923 | + | 0.0264069i | ||||
\(818\) | 0.743564 | + | 0.482876i | 0.0259981 | + | 0.0168834i | ||||
\(819\) | 2.49066 | − | 4.05674i | 0.0870306 | − | 0.141754i | ||||
\(820\) | −0.747824 | + | 1.22142i | −0.0261151 | + | 0.0426539i | ||||
\(821\) | 21.2903 | − | 6.91763i | 0.743036 | − | 0.241427i | 0.0870541 | − | 0.996204i | \(-0.472255\pi\) |
0.655982 | + | 0.754776i | \(0.272255\pi\) | |||||||
\(822\) | 11.1045 | + | 8.29938i | 0.387314 | + | 0.289474i | ||||
\(823\) | 35.3849 | − | 13.5830i | 1.23344 | − | 0.473473i | 0.347678 | − | 0.937614i | \(-0.386970\pi\) |
0.885761 | + | 0.464141i | \(0.153637\pi\) | |||||||
\(824\) | −4.79324 | − | 1.01883i | −0.166980 | − | 0.0354927i | ||||
\(825\) | 6.22823 | − | 3.93296i | 0.216839 | − | 0.136928i | ||||
\(826\) | 48.1592 | − | 21.4418i | 1.67567 | − | 0.746057i | ||||
\(827\) | −46.6095 | − | 2.44270i | −1.62077 | − | 0.0849410i | −0.779803 | − | 0.626025i | \(-0.784681\pi\) |
−0.840968 | + | 0.541084i | \(0.818014\pi\) | |||||||
\(828\) | 18.5250 | − | 11.3308i | 0.643790 | − | 0.393772i | ||||
\(829\) | 15.6585 | + | 21.5521i | 0.543842 | + | 0.748535i | 0.989161 | − | 0.146838i | \(-0.0469095\pi\) |
−0.445318 | + | 0.895372i | \(0.646909\pi\) | |||||||
\(830\) | 18.4041 | + | 4.41073i | 0.638815 | + | 0.153099i | ||||
\(831\) | −32.3644 | + | 11.9244i | −1.12271 | + | 0.413654i | ||||
\(832\) | −0.386431 | + | 0.103544i | −0.0133971 | + | 0.00358974i | ||||
\(833\) | −3.89061 | − | 24.5644i | −0.134802 | − | 0.851105i | ||||
\(834\) | 4.00184 | + | 5.08069i | 0.138572 | + | 0.175930i | ||||
\(835\) | 44.8110 | − | 15.8884i | 1.55075 | − | 0.549839i | ||||
\(836\) | − | 6.58799i | − | 0.227851i | ||||||
\(837\) | −1.03847 | + | 28.9123i | −0.0358946 | + | 0.999356i | ||||
\(838\) | 5.64237 | − | 5.64237i | 0.194912 | − | 0.194912i | ||||
\(839\) | 1.84427 | − | 5.67609i | 0.0636714 | − | 0.195960i | −0.914160 | − | 0.405353i | \(-0.867149\pi\) |
0.977832 | + | 0.209393i | \(0.0671486\pi\) | |||||||
\(840\) | −14.8887 | − | 3.78161i | −0.513707 | − | 0.130478i | ||||
\(841\) | −8.46655 | − | 6.15131i | −0.291950 | − | 0.212114i | ||||
\(842\) | 5.06082 | + | 18.8872i | 0.174407 | + | 0.650897i | ||||
\(843\) | 25.2497 | + | 11.6531i | 0.869646 | + | 0.401355i | ||||
\(844\) | −10.8073 | − | 1.13589i | −0.372001 | − | 0.0390989i | ||||
\(845\) | 25.2263 | − | 13.7097i | 0.867811 | − | 0.471628i | ||||
\(846\) | 3.65579 | − | 15.1714i | 0.125689 | − | 0.521602i | ||||
\(847\) | −2.13320 | + | 40.7040i | −0.0732978 | + | 1.39860i | ||||
\(848\) | 10.7188 | + | 4.11456i | 0.368085 | + | 0.141295i | ||||
\(849\) | −10.2151 | + | 0.397060i | −0.350580 | + | 0.0136271i | ||||
\(850\) | 6.45562 | − | 12.6947i | 0.221426 | − | 0.435425i | ||||
\(851\) | −29.1407 | + | 65.4511i | −0.998930 | + | 2.24363i | ||||
\(852\) | −8.32891 | + | 11.1440i | −0.285344 | + | 0.381788i | ||||
\(853\) | 23.8337 | + | 12.1439i | 0.816050 | + | 0.415798i | 0.811615 | − | 0.584192i | \(-0.198588\pi\) |
0.00443436 | + | 0.999990i | \(0.498588\pi\) | |||||||
\(854\) | −11.0452 | − | 4.91764i | −0.377959 | − | 0.168278i | ||||
\(855\) | 32.7162 | − | 40.3646i | 1.11887 | − | 1.38044i | ||||
\(856\) | 2.17221 | − | 0.461718i | 0.0742446 | − | 0.0157812i | ||||
\(857\) | −14.5931 | + | 38.0162i | −0.498489 | + | 1.29861i | 0.421558 | + | 0.906801i | \(0.361483\pi\) |
−0.920047 | + | 0.391807i | \(0.871850\pi\) | |||||||
\(858\) | 0.130315 | − | 0.574791i | 0.00444890 | − | 0.0196231i | ||||
\(859\) | 5.73411 | − | 0.602680i | 0.195645 | − | 0.0205632i | −0.00619886 | − | 0.999981i | \(-0.501973\pi\) |
0.201844 | + | 0.979418i | \(0.435307\pi\) | |||||||
\(860\) | 0.172464 | − | 0.583075i | 0.00588096 | − | 0.0198827i | ||||
\(861\) | −1.19612 | + | 4.23433i | −0.0407637 | + | 0.144306i | ||||
\(862\) | 0.868968 | − | 3.24303i | 0.0295972 | − | 0.110458i | ||||
\(863\) | 16.2979 | − | 4.36700i | 0.554785 | − | 0.148654i | 0.0294759 | − | 0.999565i | \(-0.490616\pi\) |
0.525310 | + | 0.850911i | \(0.323950\pi\) | |||||||
\(864\) | 4.72158 | − | 2.16948i | 0.160632 | − | 0.0738072i | ||||
\(865\) | 4.22615 | − | 53.9715i | 0.143693 | − | 1.83509i | ||||
\(866\) | 1.20687 | + | 0.392137i | 0.0410112 | + | 0.0133254i | ||||
\(867\) | 12.5738 | − | 8.87835i | 0.427027 | − | 0.301525i | ||||
\(868\) | −20.5798 | + | 8.00927i | −0.698524 | + | 0.271852i | ||||
\(869\) | 3.33608 | 0.113169 | ||||||||
\(870\) | −19.8691 | − | 14.0428i | −0.673624 | − | 0.476094i | ||||
\(871\) | −2.15285 | + | 2.39098i | −0.0729466 | + | 0.0810154i | ||||
\(872\) | 9.46568 | − | 1.49922i | 0.320548 | − | 0.0507699i | ||||
\(873\) | −0.906583 | + | 11.3970i | −0.0306832 | + | 0.385729i | ||||
\(874\) | −48.5543 | + | 28.0328i | −1.64237 | + | 0.948224i | ||||
\(875\) | 12.6450 | + | 42.5034i | 0.427479 | + | 1.43688i | ||||
\(876\) | −10.6518 | − | 21.6225i | −0.359890 | − | 0.730556i | ||||
\(877\) | −25.8780 | + | 31.9566i | −0.873837 | + | 1.07910i | 0.122404 | + | 0.992480i | \(0.460940\pi\) |
−0.996242 | + | 0.0866187i | \(0.972394\pi\) | |||||||
\(878\) | −0.113256 | + | 2.16105i | −0.00382221 | + | 0.0729320i | ||||
\(879\) | 4.63427 | + | 18.2796i | 0.156310 | + | 0.616556i | ||||
\(880\) | −1.89599 | + | 0.149973i | −0.0639138 | + | 0.00505558i | ||||
\(881\) | 1.38546 | − | 6.51808i | 0.0466774 | − | 0.219600i | −0.948627 | − | 0.316398i | \(-0.897527\pi\) |
0.995304 | + | 0.0967977i | \(0.0308600\pi\) | |||||||
\(882\) | −26.1861 | + | 0.663723i | −0.881732 | + | 0.0223487i | ||||
\(883\) | 11.4379 | + | 5.82789i | 0.384915 | + | 0.196124i | 0.635731 | − | 0.771911i | \(-0.280699\pi\) |
−0.250816 | + | 0.968035i | \(0.580699\pi\) | |||||||
\(884\) | −0.352133 | − | 1.08376i | −0.0118435 | − | 0.0364506i | ||||
\(885\) | 51.3664 | − | 3.36551i | 1.72666 | − | 0.113130i | ||||
\(886\) | −21.6981 | − | 4.61207i | −0.728961 | − | 0.154946i | ||||
\(887\) | 5.08315 | − | 7.82737i | 0.170676 | − | 0.262817i | −0.742974 | − | 0.669320i | \(-0.766585\pi\) |
0.913649 | + | 0.406503i | \(0.133252\pi\) | |||||||
\(888\) | −8.77151 | + | 14.7295i | −0.294352 | + | 0.494290i | ||||
\(889\) | −22.9335 | + | 20.6495i | −0.769166 | + | 0.692560i | ||||
\(890\) | −14.8822 | + | 14.1339i | −0.498852 | + | 0.473769i | ||||
\(891\) | −0.413461 | + | 7.64387i | −0.0138515 | + | 0.256079i | ||||
\(892\) | −19.0523 | + | 15.4283i | −0.637919 | + | 0.516577i | ||||
\(893\) | −10.4281 | + | 38.9181i | −0.348962 | + | 1.30234i | ||||
\(894\) | 5.80832 | − | 6.97779i | 0.194259 | − | 0.233372i | ||||
\(895\) | −9.84645 | + | 10.3842i | −0.329130 | + | 0.347106i | ||||
\(896\) | 2.94753 | + | 2.65397i | 0.0984701 | + | 0.0886629i | ||||
\(897\) | −4.79079 | + | 1.48538i | −0.159960 | + | 0.0495953i | ||||
\(898\) | −18.4200 | + | 18.4200i | −0.614682 | + | 0.614682i | ||||
\(899\) | −34.9771 | + | 0.161806i | −1.16655 | + | 0.00539654i | ||||
\(900\) | −12.3615 | − | 8.49668i | −0.412050 | − | 0.283223i | ||||
\(901\) | −10.1059 | + | 31.1026i | −0.336675 | + | 1.03618i | ||||
\(902\) | 0.0285112 | + | 0.544026i | 0.000949319 | + | 0.0181141i | ||||
\(903\) | 0.0252361 | − | 1.86792i | 0.000839804 | − | 0.0621604i | ||||
\(904\) | −13.8535 | − | 7.99829i | −0.460759 | − | 0.266019i | ||||
\(905\) | −13.6228 | + | 5.64905i | −0.452836 | + | 0.187781i | ||||
\(906\) | 4.44319 | − | 15.7291i | 0.147615 | − | 0.522565i | ||||
\(907\) | 37.8690 | + | 5.99786i | 1.25742 | + | 0.199156i | 0.749358 | − | 0.662165i | \(-0.230362\pi\) |
0.508062 | + | 0.861321i | \(0.330362\pi\) | |||||||
\(908\) | −6.41949 | + | 7.92741i | −0.213038 | + | 0.263080i | ||||
\(909\) | 6.53862 | + | 15.8231i | 0.216872 | + | 0.524821i | ||||
\(910\) | 3.11882 | + | 1.69178i | 0.103388 | + | 0.0560821i | ||||
\(911\) | 6.63170 | + | 31.1997i | 0.219718 | + | 1.03369i | 0.940307 | + | 0.340329i | \(0.110538\pi\) |
−0.720589 | + | 0.693363i | \(0.756128\pi\) | |||||||
\(912\) | −12.3283 | + | 5.29053i | −0.408231 | + | 0.175187i | ||||
\(913\) | 6.72069 | − | 2.57983i | 0.222422 | − | 0.0853799i | ||||
\(914\) | 1.61196 | + | 4.96110i | 0.0533189 | + | 0.164099i | ||||
\(915\) | −8.45650 | − | 8.23834i | −0.279563 | − | 0.272351i | ||||
\(916\) | 12.6378 | + | 5.62669i | 0.417563 | + | 0.185911i | ||||
\(917\) | −60.1752 | + | 39.0782i | −1.98716 | + | 1.29048i | ||||
\(918\) | 6.87487 | + | 13.1070i | 0.226905 | + | 0.432595i | ||||
\(919\) | 2.33253 | + | 5.23895i | 0.0769431 | + | 0.172817i | 0.947921 | − | 0.318505i | \(-0.103181\pi\) |
−0.870978 | + | 0.491322i | \(0.836514\pi\) | |||||||
\(920\) | 9.17301 | + | 13.3355i | 0.302425 | + | 0.439659i | ||||
\(921\) | 17.8824 | + | 1.17961i | 0.589245 | + | 0.0388694i | ||||
\(922\) | −36.7623 | − | 5.82258i | −1.21070 | − | 0.191756i | ||||
\(923\) | 2.49734 | − | 2.02231i | 0.0822010 | − | 0.0665651i | ||||
\(924\) | −5.48289 | + | 2.02013i | −0.180374 | + | 0.0664575i | ||||
\(925\) | 49.4889 | − | 0.0391779i | 1.62718 | − | 0.00128816i | ||||
\(926\) | 8.17517 | − | 11.2522i | 0.268653 | − | 0.369769i | ||||
\(927\) | −14.0921 | − | 4.18712i | −0.462844 | − | 0.137523i | ||||
\(928\) | 2.85203 | + | 5.59742i | 0.0936225 | + | 0.183744i | ||||
\(929\) | 47.2249 | 1.54940 | 0.774699 | − | 0.632330i | \(-0.217901\pi\) | ||||
0.774699 | + | 0.632330i | \(0.217901\pi\) | |||||||
\(930\) | −21.5605 | + | 0.381495i | −0.706996 | + | 0.0125097i | ||||
\(931\) | 67.6296 | 2.21647 | ||||||||
\(932\) | 7.51421 | + | 14.7475i | 0.246136 | + | 0.483070i | ||||
\(933\) | −5.38135 | + | 45.3039i | −0.176177 | + | 1.48318i | ||||
\(934\) | −3.01804 | + | 4.15398i | −0.0987533 | + | 0.135922i | ||||
\(935\) | −0.709232 | − | 5.37072i | −0.0231944 | − | 0.175641i | ||||
\(936\) | −1.18027 | + | 0.217727i | −0.0385785 | + | 0.00711663i | ||||
\(937\) | 33.2941 | − | 26.9611i | 1.08767 | − | 0.880780i | 0.0942797 | − | 0.995546i | \(-0.469945\pi\) |
0.993393 | + | 0.114766i | \(0.0366119\pi\) | |||||||
\(938\) | 31.5050 | + | 4.98991i | 1.02868 | + | 0.162926i | ||||
\(939\) | −1.87652 | + | 28.4473i | −0.0612379 | + | 0.928343i | ||||
\(940\) | 11.4378 | + | 2.11519i | 0.373060 | + | 0.0689898i | ||||
\(941\) | −4.23191 | − | 9.50503i | −0.137956 | − | 0.309855i | 0.831334 | − | 0.555773i | \(-0.187577\pi\) |
−0.969291 | + | 0.245917i | \(0.920911\pi\) | |||||||
\(942\) | 26.8828 | + | 24.8711i | 0.875888 | + | 0.810344i | ||||
\(943\) | 3.88821 | − | 2.52504i | 0.126618 | − | 0.0822265i | ||||
\(944\) | −12.1421 | − | 5.40601i | −0.395192 | − | 0.175951i | ||||
\(945\) | −43.6257 | − | 14.8509i | −1.41914 | − | 0.483100i | ||||
\(946\) | −0.0714726 | − | 0.219970i | −0.00232377 | − | 0.00715184i | ||||
\(947\) | 32.1858 | − | 12.3550i | 1.04590 | − | 0.401482i | 0.226081 | − | 0.974109i | \(-0.427409\pi\) |
0.819816 | + | 0.572626i | \(0.194075\pi\) | |||||||
\(948\) | −2.67906 | − | 6.24290i | −0.0870118 | − | 0.202760i | ||||
\(949\) | 1.15753 | + | 5.44574i | 0.0375750 | + | 0.176776i | ||||
\(950\) | 31.3491 | + | 22.7386i | 1.01710 | + | 0.737736i | ||||
\(951\) | −20.1840 | − | 32.0195i | −0.654512 | − | 1.03830i | ||||
\(952\) | −7.10974 | + | 8.77979i | −0.230428 | + | 0.284555i | ||||
\(953\) | −42.5678 | − | 6.74208i | −1.37891 | − | 0.218397i | −0.577438 | − | 0.816435i | \(-0.695947\pi\) |
−0.801468 | + | 0.598037i | \(0.795947\pi\) | |||||||
\(954\) | 31.0763 | + | 14.8547i | 1.00613 | + | 0.480938i | ||||
\(955\) | 3.30992 | + | 7.98193i | 0.107107 | + | 0.258289i | ||||
\(956\) | 7.54834 | + | 4.35804i | 0.244131 | + | 0.140949i | ||||
\(957\) | −9.25409 | − | 0.125025i | −0.299142 | − | 0.00404149i | ||||
\(958\) | 0.204594 | + | 3.90390i | 0.00661015 | + | 0.126129i | ||||
\(959\) | −9.81006 | + | 30.1923i | −0.316783 | + | 0.974959i | ||||
\(960\) | 1.80324 | + | 3.42759i | 0.0581992 | + | 0.110625i | ||||
\(961\) | −24.9099 | + | 18.4526i | −0.803544 | + | 0.595245i | ||||
\(962\) | 2.79995 | − | 2.79995i | 0.0902742 | − | 0.0902742i | ||||
\(963\) | 6.60595 | − | 0.864052i | 0.212874 | − | 0.0278437i | ||||
\(964\) | −15.6198 | − | 14.0641i | −0.503079 | − | 0.452974i | ||||
\(965\) | 1.26812 | + | 47.7061i | 0.0408224 | + | 1.53571i | ||||
\(966\) | 38.2191 | + | 31.8136i | 1.22968 | + | 1.02359i | ||||
\(967\) | 14.2010 | − | 52.9990i | 0.456674 | − | 1.70433i | −0.226445 | − | 0.974024i | \(-0.572710\pi\) |
0.683119 | − | 0.730307i | \(-0.260623\pi\) | |||||||
\(968\) | 7.98638 | − | 6.46724i | 0.256692 | − | 0.207865i | ||||
\(969\) | −16.8866 | − | 34.2788i | −0.542474 | − | 1.10119i | ||||
\(970\) | −8.51880 | − | 0.219698i | −0.273522 | − | 0.00705409i | ||||
\(971\) | −21.9874 | + | 19.7975i | −0.705609 | + | 0.635333i | −0.941722 | − | 0.336393i | \(-0.890793\pi\) |
0.236113 | + | 0.971726i | \(0.424126\pi\) | |||||||
\(972\) | 14.6362 | − | 5.36474i | 0.469458 | − | 0.172074i | ||||
\(973\) | −8.06618 | + | 12.4208i | −0.258590 | + | 0.398193i | ||||
\(974\) | 29.5378 | + | 6.27845i | 0.946452 | + | 0.201175i | ||||
\(975\) | 2.28537 | + | 2.60401i | 0.0731904 | + | 0.0833950i | ||||
\(976\) | 0.941979 | + | 2.89911i | 0.0301520 | + | 0.0927983i | ||||
\(977\) | 48.2166 | + | 24.5676i | 1.54259 | + | 0.785987i | 0.998589 | − | 0.0530990i | \(-0.0169099\pi\) |
0.543998 | + | 0.839087i | \(0.316910\pi\) | |||||||
\(978\) | −17.7615 | + | 3.52524i | −0.567951 | + | 0.112725i | ||||
\(979\) | −1.62318 | + | 7.63647i | −0.0518771 | + | 0.244063i | ||||
\(980\) | −1.53956 | − | 19.4634i | −0.0491794 | − | 0.621737i | ||||
\(981\) | 28.6643 | − | 2.23173i | 0.915180 | − | 0.0712537i | ||||
\(982\) | −0.977904 | + | 18.6595i | −0.0312062 | + | 0.595449i | ||||
\(983\) | 18.5358 | − | 22.8898i | 0.591200 | − | 0.730071i | −0.390479 | − | 0.920612i | \(-0.627691\pi\) |
0.981679 | + | 0.190540i | \(0.0610240\pi\) | |||||||
\(984\) | 0.995155 | − | 0.490237i | 0.0317244 | − | 0.0156282i | ||||
\(985\) | 16.3262 | − | 10.0136i | 0.520197 | − | 0.319060i | ||||
\(986\) | −15.4965 | + | 8.94693i | −0.493510 | + | 0.284928i | ||||
\(987\) | 35.5874 | − | 3.25497i | 1.13276 | − | 0.103607i | ||||
\(988\) | 3.06053 | − | 0.484740i | 0.0973683 | − | 0.0154216i | ||||
\(989\) | −1.31708 | + | 1.46276i | −0.0418806 | + | 0.0465132i | ||||
\(990\) | −5.70573 | − | 0.00252846i | −0.181340 | − | 8.03598e-5i | ||||
\(991\) | 10.3672 | 0.329324 | 0.164662 | − | 0.986350i | \(-0.447347\pi\) | ||||
0.164662 | + | 0.986350i | \(0.447347\pi\) | |||||||
\(992\) | 4.97255 | + | 2.50474i | 0.157879 | + | 0.0795254i | ||||
\(993\) | 0.947282 | + | 1.34157i | 0.0300611 | + | 0.0425733i | ||||
\(994\) | −30.2997 | − | 9.84497i | −0.961048 | − | 0.312264i | ||||
\(995\) | −1.26621 | + | 1.08231i | −0.0401415 | + | 0.0343116i | ||||
\(996\) | −10.2248 | − | 10.5049i | −0.323985 | − | 0.332860i | ||||
\(997\) | 16.3504 | − | 4.38107i | 0.517822 | − | 0.138750i | 0.00956304 | − | 0.999954i | \(-0.496956\pi\) |
0.508259 | + | 0.861204i | \(0.330289\pi\) | |||||||
\(998\) | −5.58630 | + | 20.8484i | −0.176831 | + | 0.659943i | ||||
\(999\) | −29.7356 | + | 41.9628i | −0.940793 | + | 1.32764i |
(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 | 930.2.bs.a.107.1 | ✓ | 1024 | |
3.2 | odd | 2 | inner | 930.2.bs.a.107.62 | yes | 1024 | |
5.3 | odd | 4 | inner | 930.2.bs.a.293.17 | yes | 1024 | |
15.8 | even | 4 | inner | 930.2.bs.a.293.49 | yes | 1024 | |
31.20 | even | 15 | inner | 930.2.bs.a.857.49 | yes | 1024 | |
93.20 | odd | 30 | inner | 930.2.bs.a.857.17 | yes | 1024 | |
155.113 | odd | 60 | inner | 930.2.bs.a.113.62 | yes | 1024 | |
465.113 | even | 60 | inner | 930.2.bs.a.113.1 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bs.a.107.1 | ✓ | 1024 | 1.1 | even | 1 | trivial | |
930.2.bs.a.107.62 | yes | 1024 | 3.2 | odd | 2 | inner | |
930.2.bs.a.113.1 | yes | 1024 | 465.113 | even | 60 | inner | |
930.2.bs.a.113.62 | yes | 1024 | 155.113 | odd | 60 | inner | |
930.2.bs.a.293.17 | yes | 1024 | 5.3 | odd | 4 | inner | |
930.2.bs.a.293.49 | yes | 1024 | 15.8 | even | 4 | inner | |
930.2.bs.a.857.17 | yes | 1024 | 93.20 | odd | 30 | inner | |
930.2.bs.a.857.49 | yes | 1024 | 31.20 | even | 15 | inner |