Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [738,2,Mod(289,738)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(738, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("738.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 738 = 2 \cdot 3^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 738.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: | \(5.89295966917\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 595.3 | ||
Character | \(\chi\) | \(=\) | 738.595 |
Dual form | 738.2.u.c.289.3 |
$q$-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 \(\left(\mathbb{Z}/738\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | + | 0.309017i | 0.672499 | + | 0.218508i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | 1.04558 | − | 1.43911i | 0.467596 | − | 0.643591i | −0.508466 | − | 0.861082i | \(-0.669787\pi\) |
0.976062 | + | 0.217491i | \(0.0697873\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.54821 | − | 3.03854i | 0.585169 | − | 1.14846i | −0.388704 | − | 0.921363i | \(-0.627077\pi\) |
0.973872 | − | 0.227096i | \(-0.0729230\pi\) | |||||||
\(8\) | 0.587785 | + | 0.809017i | 0.207813 | + | 0.286031i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.43911 | − | 1.04558i | 0.455088 | − | 0.330640i | ||||
\(11\) | −2.23077 | − | 0.353318i | −0.672601 | − | 0.106530i | −0.189213 | − | 0.981936i | \(-0.560594\pi\) |
−0.483388 | + | 0.875406i | \(0.660594\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.86784 | − | 0.951714i | 0.518047 | − | 0.263958i | −0.175360 | − | 0.984504i | \(-0.556109\pi\) |
0.693407 | + | 0.720546i | \(0.256109\pi\) | |||||||
\(14\) | 2.41140 | − | 2.41140i | 0.644473 | − | 0.644473i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 0.795170 | − | 5.02051i | 0.192857 | − | 1.21765i | −0.681299 | − | 0.732006i | \(-0.738584\pi\) |
0.874156 | − | 0.485646i | \(-0.161416\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.44683 | − | 2.77530i | −1.24959 | − | 0.636697i | −0.301126 | − | 0.953584i | \(-0.597362\pi\) |
−0.948463 | + | 0.316887i | \(0.897362\pi\) | |||||||
\(20\) | 1.69178 | − | 0.549692i | 0.378293 | − | 0.122915i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.01240 | − | 1.02537i | −0.429046 | − | 0.218610i | ||||
\(23\) | −1.80404 | + | 5.55226i | −0.376168 | + | 1.15773i | 0.566519 | + | 0.824049i | \(0.308290\pi\) |
−0.942687 | + | 0.333678i | \(0.891710\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.567269 | + | 1.74588i | 0.113454 | + | 0.349175i | ||||
\(26\) | 2.07052 | − | 0.327938i | 0.406062 | − | 0.0643140i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.03854 | − | 1.54821i | 0.574229 | − | 0.292584i | ||||
\(29\) | 0.885112 | + | 5.58838i | 0.164361 | + | 1.03774i | 0.922600 | + | 0.385759i | \(0.126060\pi\) |
−0.758238 | + | 0.651977i | \(0.773940\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.04738 | − | 5.84677i | 1.44535 | − | 1.05011i | 0.458463 | − | 0.888713i | \(-0.348400\pi\) |
0.986890 | − | 0.161397i | \(-0.0515999\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.30767 | − | 4.52906i | 0.395763 | − | 0.776728i | ||||
\(35\) | −2.75402 | − | 5.40507i | −0.465515 | − | 0.913624i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.41378 | + | 3.93334i | 0.890020 | + | 0.646637i | 0.935883 | − | 0.352311i | \(-0.114604\pi\) |
−0.0458635 | + | 0.998948i | \(0.514604\pi\) | |||||||
\(38\) | −4.32263 | − | 4.32263i | −0.701223 | − | 0.701223i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.77884 | 0.281260 | ||||||||
\(41\) | −5.04886 | − | 3.93815i | −0.788499 | − | 0.615036i | ||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.74873 | + | 0.893116i | 0.419177 | + | 0.136199i | 0.511009 | − | 0.859576i | \(-0.329272\pi\) |
−0.0918313 | + | 0.995775i | \(0.529272\pi\) | |||||||
\(44\) | −1.59705 | − | 1.59705i | −0.240765 | − | 0.240765i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.43149 | + | 4.72304i | −0.505945 | + | 0.696374i | ||||
\(47\) | −1.35480 | − | 2.65894i | −0.197617 | − | 0.387846i | 0.770839 | − | 0.637030i | \(-0.219837\pi\) |
−0.968456 | + | 0.249185i | \(0.919837\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.72124 | − | 3.74547i | −0.388749 | − | 0.535067i | ||||
\(50\) | 1.83572i | 0.259610i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.07052 | + | 0.327938i | 0.287129 | + | 0.0454768i | ||||
\(53\) | 1.48416 | + | 9.37059i | 0.203864 | + | 1.28715i | 0.851158 | + | 0.524909i | \(0.175901\pi\) |
−0.647294 | + | 0.762240i | \(0.724099\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.84090 | + | 2.84090i | −0.383067 | + | 0.383067i | ||||
\(56\) | 3.36824 | − | 0.533477i | 0.450100 | − | 0.0712889i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.885112 | + | 5.58838i | −0.116221 | + | 0.733790i | ||||
\(59\) | −4.11085 | + | 12.6519i | −0.535187 | + | 1.64714i | 0.208057 | + | 0.978117i | \(0.433286\pi\) |
−0.743244 | + | 0.669020i | \(0.766714\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.4753 | − | 3.72857i | 1.46927 | − | 0.477394i | 0.538381 | − | 0.842702i | \(-0.319036\pi\) |
0.930887 | + | 0.365307i | \(0.119036\pi\) | |||||||
\(62\) | 9.46027 | − | 3.07383i | 1.20146 | − | 0.390376i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | 0.583350 | − | 3.68313i | 0.0723557 | − | 0.456836i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.00693821 | − | 0.00109890i | 0.000847637 | − | 0.000134253i | −0.156011 | − | 0.987755i | \(-0.549863\pi\) |
0.156858 | + | 0.987621i | \(0.449863\pi\) | |||||||
\(68\) | 3.59429 | − | 3.59429i | 0.435871 | − | 0.435871i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.948972 | − | 5.99157i | −0.113424 | − | 0.716130i | ||||
\(71\) | −1.38782 | − | 0.219809i | −0.164704 | − | 0.0260865i | 0.0735378 | − | 0.997292i | \(-0.476571\pi\) |
−0.238242 | + | 0.971206i | \(0.576571\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.50605i | 0.410352i | 0.978725 | + | 0.205176i | \(0.0657766\pi\) | ||||
−0.978725 | + | 0.205176i | \(0.934223\pi\) | |||||||
\(74\) | 3.93334 | + | 5.41378i | 0.457241 | + | 0.629339i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.77530 | − | 5.44683i | −0.318349 | − | 0.624794i | ||||
\(77\) | −4.52727 | + | 6.23125i | −0.515930 | + | 0.710117i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.14957 | + | 7.14957i | 0.804389 | + | 0.804389i | 0.983778 | − | 0.179389i | \(-0.0574120\pi\) |
−0.179389 | + | 0.983778i | \(0.557412\pi\) | |||||||
\(80\) | 1.69178 | + | 0.549692i | 0.189147 | + | 0.0614575i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.58479 | − | 5.30559i | −0.395874 | − | 0.585904i | ||||
\(83\) | 3.14886 | 0.345632 | 0.172816 | − | 0.984954i | \(-0.444713\pi\) | ||||
0.172816 | + | 0.984954i | \(0.444713\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.39367 | − | 6.39367i | −0.693490 | − | 0.693490i | ||||
\(86\) | 2.33821 | + | 1.69881i | 0.252136 | + | 0.183187i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.02537 | − | 2.01240i | −0.109305 | − | 0.214523i | ||||
\(89\) | −0.462708 | + | 0.908115i | −0.0490469 | + | 0.0962600i | −0.914229 | − | 0.405198i | \(-0.867203\pi\) |
0.865182 | + | 0.501458i | \(0.167203\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 7.14896i | − | 0.749415i | ||||||
\(92\) | −4.72304 | + | 3.43149i | −0.492411 | + | 0.357757i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.466831 | − | 2.94745i | −0.0481499 | − | 0.304007i | ||||
\(95\) | −9.68905 | + | 4.93682i | −0.994076 | + | 0.506507i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.32330 | + | 1.00151i | −0.642034 | + | 0.101688i | −0.468958 | − | 0.883220i | \(-0.655371\pi\) |
−0.173076 | + | 0.984909i | \(0.555371\pi\) | |||||||
\(98\) | −1.43064 | − | 4.40307i | −0.144517 | − | 0.444777i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.567269 | + | 1.74588i | −0.0567269 | + | 0.174588i | ||||
\(101\) | −11.0309 | − | 5.62053i | −1.09762 | − | 0.559264i | −0.191158 | − | 0.981559i | \(-0.561224\pi\) |
−0.906458 | + | 0.422296i | \(0.861224\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −14.6399 | + | 4.75679i | −1.44251 | + | 0.468701i | −0.922680 | − | 0.385567i | \(-0.874006\pi\) |
−0.519833 | + | 0.854268i | \(0.674006\pi\) | |||||||
\(104\) | 1.86784 | + | 0.951714i | 0.183157 | + | 0.0933232i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.48416 | + | 9.37059i | −0.144154 | + | 0.910152i | ||||
\(107\) | 3.26026 | + | 10.0341i | 0.315182 | + | 0.970029i | 0.975680 | + | 0.219202i | \(0.0703452\pi\) |
−0.660498 | + | 0.750828i | \(0.729655\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.34871 | − | 1.34871i | 0.129183 | − | 0.129183i | −0.639559 | − | 0.768742i | \(-0.720883\pi\) |
0.768742 | + | 0.639559i | \(0.220883\pi\) | |||||||
\(110\) | −3.57975 | + | 1.82397i | −0.341315 | + | 0.173909i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.36824 | + | 0.533477i | 0.318269 | + | 0.0504089i | ||||
\(113\) | 6.65968 | − | 4.83854i | 0.626490 | − | 0.455172i | −0.228692 | − | 0.973499i | \(-0.573445\pi\) |
0.855183 | + | 0.518327i | \(0.173445\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.10407 | + | 8.40153i | 0.569208 | + | 0.783447i | ||||
\(116\) | −2.56870 | + | 5.04135i | −0.238497 | + | 0.468078i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.81930 | + | 10.7623i | −0.719825 | + | 0.990754i | ||||
\(119\) | −14.0239 | − | 10.1890i | −1.28557 | − | 0.934020i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.61014 | − | 1.82285i | −0.510013 | − | 0.165713i | ||||
\(122\) | 12.0659 | 1.09239 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 9.94711 | 0.893277 | ||||||||
\(125\) | 11.5645 | + | 3.75754i | 1.03436 | + | 0.336085i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.28024 | − | 6.74249i | −0.823488 | − | 0.598299i | 0.0942216 | − | 0.995551i | \(-0.469964\pi\) |
−0.917709 | + | 0.397252i | \(0.869964\pi\) | |||||||
\(128\) | −0.587785 | + | 0.809017i | −0.0519534 | + | 0.0715077i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.69295 | − | 3.32260i | 0.148481 | − | 0.291411i | ||||
\(131\) | −8.75738 | − | 12.0535i | −0.765136 | − | 1.05312i | −0.996769 | − | 0.0803164i | \(-0.974407\pi\) |
0.231633 | − | 0.972803i | \(-0.425593\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −16.8657 | + | 12.2536i | −1.46244 | + | 1.06253i | ||||
\(134\) | 0.00693821 | + | 0.00109890i | 0.000599370 | + | 9.49309e-5i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.52906 | − | 2.30767i | 0.388364 | − | 0.197881i | ||||
\(137\) | −3.95797 | + | 3.95797i | −0.338152 | + | 0.338152i | −0.855672 | − | 0.517519i | \(-0.826856\pi\) |
0.517519 | + | 0.855672i | \(0.326856\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.08464 | − | 9.49356i | −0.261636 | − | 0.805233i | −0.992449 | − | 0.122655i | \(-0.960859\pi\) |
0.730813 | − | 0.682577i | \(-0.239141\pi\) | |||||||
\(140\) | 0.948972 | − | 5.99157i | 0.0802027 | − | 0.506380i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.25197 | − | 0.637911i | −0.105063 | − | 0.0535323i | ||||
\(143\) | −4.50298 | + | 1.46311i | −0.376558 | + | 0.122351i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.96776 | + | 4.56930i | 0.744732 | + | 0.379460i | ||||
\(146\) | −1.08343 | + | 3.33445i | −0.0896651 | + | 0.275961i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.06788 | + | 6.36428i | 0.169979 | + | 0.523140i | ||||
\(149\) | 12.7704 | − | 2.02263i | 1.04619 | − | 0.165700i | 0.390401 | − | 0.920645i | \(-0.372336\pi\) |
0.655788 | + | 0.754945i | \(0.272336\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.0785 | + | 5.13526i | −0.820177 | + | 0.417901i | −0.813136 | − | 0.582074i | \(-0.802241\pi\) |
−0.00704157 | + | 0.999975i | \(0.502241\pi\) | |||||||
\(152\) | −0.956303 | − | 6.03786i | −0.0775664 | − | 0.489735i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.23125 | + | 4.52727i | −0.502128 | + | 0.364818i | ||||
\(155\) | − | 17.6943i | − | 1.42124i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.36145 | + | 10.5224i | −0.427890 | + | 0.839782i | 0.571920 | + | 0.820309i | \(0.306199\pi\) |
−0.999810 | + | 0.0194724i | \(0.993801\pi\) | |||||||
\(158\) | 4.59031 | + | 9.00898i | 0.365185 | + | 0.716716i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.43911 | + | 1.04558i | 0.113772 | + | 0.0826601i | ||||
\(161\) | 14.0777 | + | 14.0777i | 1.10948 | + | 1.10948i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.53267 | 0.590004 | 0.295002 | − | 0.955497i | \(-0.404680\pi\) | ||||
0.295002 | + | 0.955497i | \(0.404680\pi\) | |||||||
\(164\) | −1.76983 | − | 6.15368i | −0.138200 | − | 0.480521i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.99474 | + | 0.973051i | 0.232437 | + | 0.0755234i | ||||
\(167\) | −13.4892 | − | 13.4892i | −1.04382 | − | 1.04382i | −0.998995 | − | 0.0448276i | \(-0.985726\pi\) |
−0.0448276 | − | 0.998995i | \(-0.514274\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.05813 | + | 6.96192i | −0.389087 | + | 0.535532i | ||||
\(170\) | −4.10499 | − | 8.05649i | −0.314838 | − | 0.617904i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.69881 | + | 2.33821i | 0.129533 | + | 0.178287i | ||||
\(173\) | 5.56661i | 0.423221i | 0.977354 | + | 0.211611i | \(0.0678709\pi\) | ||||
−0.977354 | + | 0.211611i | \(0.932129\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.18316 | + | 0.979316i | 0.467403 | + | 0.0740293i | ||||
\(176\) | −0.353318 | − | 2.23077i | −0.0266324 | − | 0.168150i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.720684 | + | 0.720684i | −0.0540176 | + | 0.0540176i | ||||
\(179\) | −12.1892 | + | 1.93058i | −0.911062 | + | 0.144298i | −0.594334 | − | 0.804218i | \(-0.702584\pi\) |
−0.316728 | + | 0.948516i | \(0.602584\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.96265 | + | 12.3917i | −0.145883 | + | 0.921068i | 0.800807 | + | 0.598922i | \(0.204404\pi\) |
−0.946690 | + | 0.322146i | \(0.895596\pi\) | |||||||
\(182\) | 2.20915 | − | 6.79907i | 0.163753 | − | 0.503980i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.55226 | + | 1.80404i | −0.409318 | + | 0.132996i | ||||
\(185\) | 11.3210 | − | 3.67843i | 0.832340 | − | 0.270444i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.54768 | + | 10.9186i | −0.259432 | + | 0.798449i | ||||
\(188\) | 0.466831 | − | 2.94745i | 0.0340471 | − | 0.214965i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −10.7404 | + | 1.70111i | −0.779190 | + | 0.123412i | ||||
\(191\) | 5.87753 | − | 5.87753i | 0.425283 | − | 0.425283i | −0.461735 | − | 0.887018i | \(-0.652773\pi\) |
0.887018 | + | 0.461735i | \(0.152773\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.103897 | − | 0.655981i | −0.00747868 | − | 0.0472185i | 0.983667 | − | 0.179999i | \(-0.0576095\pi\) |
−0.991145 | + | 0.132781i | \(0.957609\pi\) | |||||||
\(194\) | −6.32330 | − | 1.00151i | −0.453987 | − | 0.0719044i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | − | 4.62966i | − | 0.330690i | ||||||
\(197\) | 15.0053 | + | 20.6530i | 1.06908 | + | 1.47147i | 0.871000 | + | 0.491283i | \(0.163472\pi\) |
0.198085 | + | 0.980185i | \(0.436528\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.46979 | + | 10.7351i | 0.387743 | + | 0.760989i | 0.999549 | − | 0.0300189i | \(-0.00955674\pi\) |
−0.611806 | + | 0.791008i | \(0.709557\pi\) | |||||||
\(200\) | −1.07901 | + | 1.48513i | −0.0762976 | + | 0.105015i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.75418 | − | 8.75418i | −0.615942 | − | 0.615942i | ||||
\(203\) | 18.3508 | + | 5.96255i | 1.28798 | + | 0.418489i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −10.9464 | + | 3.14824i | −0.764531 | + | 0.219883i | ||||
\(206\) | −15.3933 | −1.07250 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.48233 | + | 1.48233i | 0.102781 | + | 0.102781i | ||||
\(209\) | 11.1700 | + | 8.11551i | 0.772648 | + | 0.561361i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.80762 | − | 11.3981i | −0.399813 | − | 0.784677i | 0.600071 | − | 0.799947i | \(-0.295139\pi\) |
−0.999883 | + | 0.0152702i | \(0.995139\pi\) | |||||||
\(212\) | −4.30719 | + | 8.45333i | −0.295819 | + | 0.580577i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 10.5504i | 0.721213i | ||||||||
\(215\) | 4.15930 | − | 3.02191i | 0.283662 | − | 0.206093i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.30656 | − | 33.5043i | −0.360233 | − | 2.27442i | ||||
\(218\) | 1.69947 | − | 0.865922i | 0.115102 | − | 0.0586476i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.96818 | + | 0.628498i | −0.267535 | + | 0.0423733i | ||||
\(221\) | −3.29283 | − | 10.1343i | −0.221500 | − | 0.681706i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.73643 | + | 14.5772i | −0.317175 | + | 0.976165i | 0.657675 | + | 0.753302i | \(0.271540\pi\) |
−0.974850 | + | 0.222863i | \(0.928460\pi\) | |||||||
\(224\) | 3.03854 | + | 1.54821i | 0.203021 | + | 0.103444i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.82893 | − | 2.54377i | 0.520772 | − | 0.169209i | ||||
\(227\) | −6.61717 | − | 3.37161i | −0.439197 | − | 0.223782i | 0.220388 | − | 0.975412i | \(-0.429268\pi\) |
−0.659585 | + | 0.751630i | \(0.729268\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.587329 | − | 3.70825i | 0.0388118 | − | 0.245048i | −0.960653 | − | 0.277750i | \(-0.910411\pi\) |
0.999465 | + | 0.0327021i | \(0.0104113\pi\) | |||||||
\(230\) | 3.20910 | + | 9.87659i | 0.211602 | + | 0.651243i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.00084 | + | 4.00084i | −0.262668 | + | 0.262668i | ||||
\(233\) | 21.3938 | − | 10.9007i | 1.40155 | − | 0.714126i | 0.420395 | − | 0.907341i | \(-0.361892\pi\) |
0.981156 | + | 0.193215i | \(0.0618916\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.24305 | − | 0.830418i | −0.342019 | − | 0.0541705i | ||||
\(236\) | −10.7623 | + | 7.81930i | −0.700569 | + | 0.508993i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −10.1890 | − | 14.0239i | −0.660452 | − | 0.909034i | ||||
\(239\) | 5.48012 | − | 10.7553i | 0.354480 | − | 0.695705i | −0.643060 | − | 0.765816i | \(-0.722335\pi\) |
0.997539 | + | 0.0701107i | \(0.0223352\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.43523 | − | 1.97543i | 0.0924514 | − | 0.127248i | −0.760286 | − | 0.649589i | \(-0.774941\pi\) |
0.852737 | + | 0.522341i | \(0.174941\pi\) | |||||||
\(242\) | −4.77227 | − | 3.46726i | −0.306773 | − | 0.222884i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.4753 | + | 3.72857i | 0.734634 | + | 0.238697i | ||||
\(245\) | −8.23543 | −0.526142 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.8151 | −0.815406 | ||||||||
\(248\) | 9.46027 | + | 3.07383i | 0.600728 | + | 0.195188i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.83738 | + | 7.14727i | 0.622170 | + | 0.452033i | ||||
\(251\) | −2.34142 | + | 3.22269i | −0.147789 | + | 0.203414i | −0.876493 | − | 0.481415i | \(-0.840123\pi\) |
0.728704 | + | 0.684829i | \(0.240123\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.98610 | − | 11.7484i | 0.376343 | − | 0.738615i | ||||
\(254\) | −6.74249 | − | 9.28024i | −0.423061 | − | 0.582294i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 8.33471 | + | 1.32009i | 0.519905 | + | 0.0823449i | 0.410872 | − | 0.911693i | \(-0.365224\pi\) |
0.109033 | + | 0.994038i | \(0.465224\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 20.3333 | − | 10.3603i | 1.26345 | − | 0.643759i | ||||
\(260\) | 2.63683 | − | 2.63683i | 0.163529 | − | 0.163529i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.60403 | − | 14.1697i | −0.284438 | − | 0.875410i | ||||
\(263\) | 2.66391 | − | 16.8193i | 0.164264 | − | 1.03712i | −0.758477 | − | 0.651700i | \(-0.774056\pi\) |
0.922741 | − | 0.385421i | \(-0.125944\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.0371 | + | 7.66180i | 0.923724 | + | 0.470661i | ||||
\(266\) | −19.8268 | + | 6.44212i | −1.21566 | + | 0.394992i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.00625905 | + | 0.00318914i | 0.000382332 | + | 0.000194808i | ||||
\(269\) | 5.23298 | − | 16.1055i | 0.319060 | − | 0.981967i | −0.654990 | − | 0.755637i | \(-0.727327\pi\) |
0.974051 | − | 0.226330i | \(-0.0726727\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.53888 | + | 17.0469i | 0.336463 | + | 1.03553i | 0.965997 | + | 0.258554i | \(0.0832459\pi\) |
−0.629534 | + | 0.776973i | \(0.716754\pi\) | |||||||
\(272\) | 5.02051 | − | 0.795170i | 0.304413 | − | 0.0482143i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.98733 | + | 2.54117i | −0.301296 | + | 0.153518i | ||||
\(275\) | −0.648595 | − | 4.09506i | −0.0391117 | − | 0.246942i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.48140 | − | 2.52939i | 0.209177 | − | 0.151976i | −0.478264 | − | 0.878216i | \(-0.658734\pi\) |
0.687441 | + | 0.726240i | \(0.258734\pi\) | |||||||
\(278\) | − | 9.98212i | − | 0.598688i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.75402 | − | 5.40507i | 0.164584 | − | 0.323015i | ||||
\(281\) | 12.6942 | + | 24.9137i | 0.757270 | + | 1.48623i | 0.870240 | + | 0.492627i | \(0.163963\pi\) |
−0.112971 | + | 0.993598i | \(0.536037\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.1015 | − | 13.1515i | −1.07602 | − | 0.781777i | −0.0990379 | − | 0.995084i | \(-0.531577\pi\) |
−0.976985 | + | 0.213307i | \(0.931577\pi\) | |||||||
\(284\) | −0.993569 | − | 0.993569i | −0.0589575 | − | 0.0589575i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.73471 | −0.279969 | ||||||||
\(287\) | −19.7829 | + | 9.24405i | −1.16775 | + | 0.545659i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.40522 | − | 2.73102i | −0.494425 | − | 0.160648i | ||||
\(290\) | 7.11686 | + | 7.11686i | 0.417916 | + | 0.417916i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.06080 | + | 2.83645i | −0.120599 | + | 0.165991i | ||||
\(293\) | 5.28804 | + | 10.3784i | 0.308931 | + | 0.606311i | 0.992313 | − | 0.123749i | \(-0.0394919\pi\) |
−0.683383 | + | 0.730060i | \(0.739492\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.9093 | + | 19.1445i | 0.809831 | + | 1.11464i | ||||
\(296\) | 6.69180i | 0.388953i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 12.7704 | + | 2.02263i | 0.739768 | + | 0.117168i | ||||
\(299\) | 1.91450 | + | 12.0877i | 0.110718 | + | 0.699049i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.96938 | − | 6.96938i | 0.401708 | − | 0.401708i | ||||
\(302\) | −11.1721 | + | 1.76949i | −0.642883 | + | 0.101823i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.956303 | − | 6.03786i | 0.0548477 | − | 0.346295i | ||||
\(305\) | 6.63253 | − | 20.4128i | 0.379778 | − | 1.16884i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.17127 | − | 1.68025i | 0.295140 | − | 0.0958967i | −0.157704 | − | 0.987486i | \(-0.550409\pi\) |
0.452844 | + | 0.891590i | \(0.350409\pi\) | |||||||
\(308\) | −7.32527 | + | 2.38012i | −0.417396 | + | 0.135620i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.46785 | − | 16.8283i | 0.310553 | − | 0.955784i | ||||
\(311\) | 2.19891 | − | 13.8834i | 0.124689 | − | 0.787254i | −0.843518 | − | 0.537101i | \(-0.819519\pi\) |
0.968206 | − | 0.250152i | \(-0.0804807\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 25.6343 | − | 4.06008i | 1.44894 | − | 0.229489i | 0.618142 | − | 0.786066i | \(-0.287886\pi\) |
0.830796 | + | 0.556577i | \(0.187886\pi\) | |||||||
\(314\) | −8.35065 | + | 8.35065i | −0.471254 | + | 0.471254i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.58171 | + | 9.98653i | 0.0889782 | + | 0.561786i | ||||
\(317\) | −26.9503 | − | 4.26850i | −1.51368 | − | 0.239743i | −0.656327 | − | 0.754476i | \(-0.727891\pi\) |
−0.857350 | + | 0.514733i | \(0.827891\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 12.7791i | − | 0.715492i | ||||||
\(320\) | 1.04558 | + | 1.43911i | 0.0584495 | + | 0.0804489i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.03845 | + | 17.7390i | 0.503693 | + | 0.988553i | ||||
\(323\) | −18.2646 | + | 25.1390i | −1.01627 | + | 1.39877i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.72114 | + | 2.72114i | 0.150942 | + | 0.150942i | ||||
\(326\) | 7.16399 | + | 2.32772i | 0.396777 | + | 0.128921i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.218386 | − | 6.39940i | 0.0120584 | − | 0.353348i | ||||
\(329\) | −10.1768 | −0.561064 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 20.7213 | + | 20.7213i | 1.13895 | + | 1.13895i | 0.988640 | + | 0.150305i | \(0.0480257\pi\) |
0.150305 | + | 0.988640i | \(0.451974\pi\) | |||||||
\(332\) | 2.54748 | + | 1.85085i | 0.139811 | + | 0.101579i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.66057 | − | 16.9973i | −0.473885 | − | 0.930053i | ||||
\(335\) | 0.00567298 | − | 0.0111339i | 0.000309948 | − | 0.000608308i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 19.3728i | − | 1.05531i | −0.849460 | − | 0.527653i | \(-0.823072\pi\) | ||
0.849460 | − | 0.527653i | \(-0.176928\pi\) | |||||||
\(338\) | −6.96192 | + | 5.05813i | −0.378678 | + | 0.275126i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.41448 | − | 8.93069i | −0.0767110 | − | 0.484334i | ||||
\(341\) | −20.0176 | + | 10.1995i | −1.08401 | + | 0.552332i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.98389 | − | 1.26452i | 0.431090 | − | 0.0682779i | ||||
\(344\) | 0.893116 | + | 2.74873i | 0.0481536 | + | 0.148202i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.72018 | + | 5.29416i | −0.0924773 | + | 0.284616i | ||||
\(347\) | −12.4995 | − | 6.36881i | −0.671008 | − | 0.341896i | 0.0850719 | − | 0.996375i | \(-0.472888\pi\) |
−0.756080 | + | 0.654479i | \(0.772888\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 32.2349 | − | 10.4738i | 1.72550 | − | 0.560648i | 0.732710 | − | 0.680541i | \(-0.238255\pi\) |
0.992787 | + | 0.119893i | \(0.0382550\pi\) | |||||||
\(350\) | 5.57791 | + | 2.84209i | 0.298152 | + | 0.151916i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.353318 | − | 2.23077i | 0.0188319 | − | 0.118900i | ||||
\(353\) | −5.23026 | − | 16.0971i | −0.278378 | − | 0.856761i | −0.988306 | − | 0.152486i | \(-0.951272\pi\) |
0.709927 | − | 0.704275i | \(-0.248728\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.76740 | + | 1.76740i | −0.0938040 | + | 0.0938040i | ||||
\(356\) | −0.908115 | + | 0.462708i | −0.0481300 | + | 0.0245235i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.1892 | − | 1.93058i | −0.644218 | − | 0.102034i | ||||
\(359\) | 4.10898 | − | 2.98535i | 0.216864 | − | 0.157561i | −0.474050 | − | 0.880498i | \(-0.657208\pi\) |
0.690914 | + | 0.722937i | \(0.257208\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.7978 | + | 14.8619i | 0.568304 | + | 0.782203i | ||||
\(362\) | −5.69584 | + | 11.1787i | −0.299367 | + | 0.587540i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.20205 | − | 5.78363i | 0.220247 | − | 0.303145i | ||||
\(365\) | 5.04560 | + | 3.66584i | 0.264099 | + | 0.191879i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −29.5961 | − | 9.61636i | −1.54490 | − | 0.501970i | −0.592180 | − | 0.805806i | \(-0.701732\pi\) |
−0.952724 | + | 0.303836i | \(0.901732\pi\) | |||||||
\(368\) | −5.83799 | −0.304326 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 11.9036 | 0.618841 | ||||||||
\(371\) | 30.7707 | + | 9.99799i | 1.59753 | + | 0.519070i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −30.8719 | − | 22.4297i | −1.59849 | − | 1.16137i | −0.890333 | − | 0.455310i | \(-0.849529\pi\) |
−0.708153 | − | 0.706059i | \(-0.750471\pi\) | |||||||
\(374\) | −6.74808 | + | 9.28793i | −0.348935 | + | 0.480268i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.35480 | − | 2.65894i | 0.0698683 | − | 0.137124i | ||||
\(377\) | 6.97179 | + | 9.59584i | 0.359065 | + | 0.494211i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.00548 | − | 1.45707i | 0.103015 | − | 0.0748447i | −0.535085 | − | 0.844798i | \(-0.679721\pi\) |
0.638100 | + | 0.769953i | \(0.279721\pi\) | |||||||
\(380\) | −10.7404 | − | 1.70111i | −0.550971 | − | 0.0872652i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 7.40612 | − | 3.77361i | 0.378930 | − | 0.193074i | ||||
\(383\) | 5.14171 | − | 5.14171i | 0.262729 | − | 0.262729i | −0.563433 | − | 0.826162i | \(-0.690520\pi\) |
0.826162 | + | 0.563433i | \(0.190520\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.23387 | + | 13.0305i | 0.215778 | + | 0.664096i | ||||
\(386\) | 0.103897 | − | 0.655981i | 0.00528823 | − | 0.0333885i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.70433 | − | 2.90650i | −0.289594 | − | 0.147555i | ||||
\(389\) | 24.0883 | − | 7.82678i | 1.22133 | − | 0.396833i | 0.373762 | − | 0.927525i | \(-0.378068\pi\) |
0.847565 | + | 0.530691i | \(0.178068\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 26.4406 | + | 13.4722i | 1.33716 | + | 0.681318i | ||||
\(392\) | 1.43064 | − | 4.40307i | 0.0722584 | − | 0.222388i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.88876 | + | 24.2791i | 0.397430 | + | 1.22316i | ||||
\(395\) | 17.7645 | − | 2.81361i | 0.893827 | − | 0.141568i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.2797 | − | 8.29492i | 0.817054 | − | 0.416310i | 0.00506853 | − | 0.999987i | \(-0.498387\pi\) |
0.811986 | + | 0.583677i | \(0.198387\pi\) | |||||||
\(398\) | 1.88476 | + | 11.8999i | 0.0944746 | + | 0.596489i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.48513 | + | 1.07901i | −0.0742565 | + | 0.0539505i | ||||
\(401\) | − | 17.2293i | − | 0.860393i | −0.902735 | − | 0.430196i | \(-0.858444\pi\) | ||
0.902735 | − | 0.430196i | \(-0.141556\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.46680 | − | 18.5796i | 0.471575 | − | 0.925518i | ||||
\(404\) | −5.62053 | − | 11.0309i | −0.279632 | − | 0.548808i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 15.6102 | + | 11.3414i | 0.774719 | + | 0.562866i | ||||
\(407\) | −10.6871 | − | 10.6871i | −0.529742 | − | 0.529742i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −38.5484 | −1.90610 | −0.953048 | − | 0.302819i | \(-0.902072\pi\) | ||||
−0.953048 | + | 0.302819i | \(0.902072\pi\) | |||||||
\(410\) | −11.3835 | − | 0.388474i | −0.562192 | − | 0.0191854i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −14.6399 | − | 4.75679i | −0.721257 | − | 0.234350i | ||||
\(413\) | 32.0788 | + | 32.0788i | 1.57849 | + | 1.57849i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.29237 | − | 4.53156i | 0.161616 | − | 0.222446i | ||||
\(416\) | 0.951714 | + | 1.86784i | 0.0466616 | + | 0.0915785i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 8.11551 | + | 11.1700i | 0.396942 | + | 0.546344i | ||||
\(419\) | 22.6744i | 1.10771i | 0.832611 | + | 0.553857i | \(0.186845\pi\) | ||||
−0.832611 | + | 0.553857i | \(0.813155\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.6345 | − | 2.15949i | −0.664505 | − | 0.105247i | −0.184935 | − | 0.982751i | \(-0.559207\pi\) |
−0.479570 | + | 0.877504i | \(0.659207\pi\) | |||||||
\(422\) | −2.00117 | − | 12.6349i | −0.0974154 | − | 0.615056i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.70860 | + | 6.70860i | −0.325798 | + | 0.325798i | ||||
\(425\) | 9.21625 | − | 1.45971i | 0.447054 | − | 0.0708064i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.43688 | − | 40.6409i | 0.311503 | − | 1.96675i | ||||
\(428\) | −3.26026 | + | 10.0341i | −0.157591 | + | 0.485015i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.88955 | − | 1.58871i | 0.235795 | − | 0.0766145i | ||||
\(431\) | −36.9160 | + | 11.9947i | −1.77818 | + | 0.577766i | −0.998809 | − | 0.0487948i | \(-0.984462\pi\) |
−0.779372 | + | 0.626561i | \(0.784462\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.79697 | + | 23.9966i | −0.374698 | + | 1.15320i | 0.568984 | + | 0.822349i | \(0.307337\pi\) |
−0.943682 | + | 0.330854i | \(0.892663\pi\) | |||||||
\(434\) | 5.30656 | − | 33.5043i | 0.254723 | − | 1.60826i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.88387 | − | 0.298376i | 0.0902212 | − | 0.0142896i | ||||
\(437\) | 25.2355 | − | 25.2355i | 1.20718 | − | 1.20718i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.06670 | − | 31.9899i | −0.241820 | − | 1.52679i | −0.747611 | − | 0.664137i | \(-0.768799\pi\) |
0.505791 | − | 0.862656i | \(-0.331201\pi\) | |||||||
\(440\) | −3.96818 | − | 0.628498i | −0.189175 | − | 0.0299625i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 10.6558i | − | 0.506846i | ||||||
\(443\) | 11.2902 | + | 15.5396i | 0.536413 | + | 0.738309i | 0.988091 | − | 0.153872i | \(-0.0491743\pi\) |
−0.451678 | + | 0.892181i | \(0.649174\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.823084 | + | 1.61539i | 0.0390179 | + | 0.0765770i | ||||
\(446\) | −9.00923 | + | 12.4001i | −0.426600 | + | 0.587164i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.41140 | + | 2.41140i | 0.113928 | + | 0.113928i | ||||
\(449\) | 3.16621 | + | 1.02876i | 0.149423 | + | 0.0485504i | 0.382773 | − | 0.923842i | \(-0.374969\pi\) |
−0.233351 | + | 0.972393i | \(0.574969\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.87140 | + | 10.5689i | 0.464826 | + | 0.497672i | ||||
\(452\) | 8.23182 | 0.387192 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −5.25141 | − | 5.25141i | −0.246461 | − | 0.246461i | ||||
\(455\) | −10.2882 | − | 7.47479i | −0.482317 | − | 0.350424i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.48344 | + | 6.83663i | 0.162948 | + | 0.319804i | 0.958015 | − | 0.286718i | \(-0.0925642\pi\) |
−0.795067 | + | 0.606522i | \(0.792564\pi\) | |||||||
\(458\) | 1.70450 | − | 3.34526i | 0.0796458 | − | 0.156314i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 10.3849i | 0.484197i | ||||||||
\(461\) | 19.0988 | − | 13.8761i | 0.889521 | − | 0.646275i | −0.0462323 | − | 0.998931i | \(-0.514721\pi\) |
0.935753 | + | 0.352656i | \(0.114721\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.93227 | − | 18.5136i | −0.136274 | − | 0.860400i | −0.957213 | − | 0.289384i | \(-0.906549\pi\) |
0.820939 | − | 0.571016i | \(-0.193451\pi\) | |||||||
\(464\) | −5.04135 | + | 2.56870i | −0.234039 | + | 0.119249i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 23.7152 | − | 3.75611i | 1.09858 | − | 0.173999i | ||||
\(467\) | −0.202003 | − | 0.621701i | −0.00934758 | − | 0.0287689i | 0.946274 | − | 0.323366i | \(-0.104815\pi\) |
−0.955622 | + | 0.294597i | \(0.904815\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.00740275 | − | 0.0227833i | 0.000341827 | − | 0.00105204i | ||||
\(470\) | −4.72983 | − | 2.40997i | −0.218171 | − | 0.111164i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −12.6519 | + | 4.11085i | −0.582351 | + | 0.189217i | ||||
\(473\) | −5.81622 | − | 2.96351i | −0.267430 | − | 0.136262i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.75551 | − | 11.0838i | 0.0805482 | − | 0.508561i | ||||
\(476\) | −5.35665 | − | 16.4861i | −0.245522 | − | 0.755638i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.53549 | − | 8.53549i | 0.390404 | − | 0.390404i | ||||
\(479\) | −25.9112 | + | 13.2024i | −1.18392 | + | 0.603235i | −0.931272 | − | 0.364325i | \(-0.881300\pi\) |
−0.252643 | + | 0.967560i | \(0.581300\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.8555 | + | 2.19450i | 0.631757 | + | 0.100060i | ||||
\(482\) | 1.97543 | − | 1.43523i | 0.0899783 | − | 0.0653730i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.46726 | − | 4.77227i | −0.157603 | − | 0.216921i | ||||
\(485\) | −5.17021 | + | 10.1471i | −0.234767 | + | 0.460756i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.2172 | + | 14.0627i | −0.462984 | + | 0.637243i | −0.975124 | − | 0.221659i | \(-0.928853\pi\) |
0.512140 | + | 0.858902i | \(0.328853\pi\) | |||||||
\(488\) | 9.76152 | + | 7.09216i | 0.441883 | + | 0.321047i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.83236 | − | 2.54489i | −0.353830 | − | 0.114966i | ||||
\(491\) | 19.1668 | 0.864987 | 0.432493 | − | 0.901637i | \(-0.357634\pi\) | ||||
0.432493 | + | 0.901637i | \(0.357634\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 28.7603 | 1.29530 | ||||||||
\(494\) | −12.1879 | − | 3.96009i | −0.548360 | − | 0.178173i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.04738 | + | 5.84677i | 0.361338 | + | 0.262528i | ||||
\(497\) | −2.81654 | + | 3.87663i | −0.126339 | + | 0.173891i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.26750 | + | 16.2259i | −0.370104 | + | 0.726370i | −0.998679 | − | 0.0513787i | \(-0.983638\pi\) |
0.628575 | + | 0.777749i | \(0.283638\pi\) | |||||||
\(500\) | 7.14727 | + | 9.83738i | 0.319636 | + | 0.439941i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.22269 | + | 2.34142i | −0.143835 | + | 0.104503i | ||||
\(503\) | 24.8715 | + | 3.93926i | 1.10897 | + | 0.175643i | 0.683940 | − | 0.729538i | \(-0.260265\pi\) |
0.425026 | + | 0.905181i | \(0.360265\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −19.6222 | + | 9.99803i | −0.873178 | + | 0.444907i | ||||
\(506\) | 9.32358 | − | 9.32358i | 0.414484 | − | 0.414484i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.54474 | − | 10.9096i | −0.157272 | − | 0.484034i | ||||
\(509\) | 1.58521 | − | 10.0086i | 0.0702632 | − | 0.443624i | −0.927328 | − | 0.374251i | \(-0.877900\pi\) |
0.997591 | − | 0.0693735i | \(-0.0221000\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.6532 | + | 5.42810i | 0.471272 | + | 0.240125i | ||||
\(512\) | −0.951057 | + | 0.309017i | −0.0420312 | + | 0.0136568i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.51885 | + | 3.83105i | 0.331642 | + | 0.168980i | ||||
\(515\) | −8.46158 | + | 26.0421i | −0.372862 | + | 1.14755i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.08278 | + | 6.41014i | 0.0916006 | + | 0.281918i | ||||
\(518\) | 22.5396 | − | 3.56992i | 0.990333 | − | 0.156853i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.32260 | − | 1.69295i | 0.145706 | − | 0.0742407i | ||||
\(521\) | −2.27512 | − | 14.3646i | −0.0996750 | − | 0.629323i | −0.986062 | − | 0.166378i | \(-0.946793\pi\) |
0.886387 | − | 0.462945i | \(-0.153207\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.47530 | + | 6.15766i | −0.370599 | + | 0.269256i | −0.757459 | − | 0.652882i | \(-0.773560\pi\) |
0.386860 | + | 0.922138i | \(0.373560\pi\) | |||||||
\(524\) | − | 14.8990i | − | 0.650864i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.73098 | − | 15.1729i | 0.337087 | − | 0.661570i | ||||
\(527\) | −22.9547 | − | 45.0511i | −0.999922 | − | 1.96246i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.96566 | − | 6.51393i | −0.389811 | − | 0.283215i | ||||
\(530\) | 11.9335 | + | 11.9335i | 0.518360 | + | 0.518360i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −20.8471 | −0.903838 | ||||||||
\(533\) | −13.1785 | − | 2.55078i | −0.570823 | − | 0.110487i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 17.8490 | + | 5.79949i | 0.771680 | + | 0.250734i | ||||
\(536\) | 0.00496721 | + | 0.00496721i | 0.000214551 | + | 0.000214551i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 9.95372 | − | 13.7001i | 0.429135 | − | 0.590654i | ||||
\(539\) | 4.74711 | + | 9.31673i | 0.204473 | + | 0.401300i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.26920 | + | 11.3816i | 0.355521 | + | 0.489332i | 0.948894 | − | 0.315595i | \(-0.102204\pi\) |
−0.593373 | + | 0.804927i | \(0.702204\pi\) | |||||||
\(542\) | 17.9242i | 0.769910i | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.02051 | + | 0.795170i | 0.215252 | + | 0.0340926i | ||||
\(545\) | −0.530764 | − | 3.35111i | −0.0227355 | − | 0.143546i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.2993 | + | 15.2993i | −0.654151 | + | 0.654151i | −0.953990 | − | 0.299839i | \(-0.903067\pi\) |
0.299839 | + | 0.953990i | \(0.403067\pi\) | |||||||
\(548\) | −5.52850 | + | 0.875629i | −0.236166 | + | 0.0374050i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.648595 | − | 4.09506i | 0.0276562 | − | 0.174614i | ||||
\(551\) | 10.6884 | − | 32.8954i | 0.455340 | − | 1.40139i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 32.7933 | − | 10.6552i | 1.39451 | − | 0.453104i | ||||
\(554\) | 4.09263 | − | 1.32978i | 0.173879 | − | 0.0564968i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.08464 | − | 9.49356i | 0.130818 | − | 0.402616i | ||||
\(557\) | 0.864378 | − | 5.45747i | 0.0366249 | − | 0.231240i | −0.962585 | − | 0.270979i | \(-0.912653\pi\) |
0.999210 | + | 0.0397388i | \(0.0126526\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.98419 | − | 0.947802i | 0.253104 | − | 0.0400878i | ||||
\(560\) | 4.28949 | − | 4.28949i | 0.181264 | − | 0.181264i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.37411 | + | 27.6170i | 0.184511 | + | 1.16495i | ||||
\(563\) | −10.0663 | − | 1.59434i | −0.424243 | − | 0.0671936i | −0.0593375 | − | 0.998238i | \(-0.518899\pi\) |
−0.364906 | + | 0.931044i | \(0.618899\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 14.6431i | − | 0.616040i | ||||||
\(566\) | −13.1515 | − | 18.1015i | −0.552800 | − | 0.760863i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.637911 | − | 1.25197i | −0.0267661 | − | 0.0525315i | ||||
\(569\) | −15.0146 | + | 20.6659i | −0.629446 | + | 0.866359i | −0.997998 | − | 0.0632488i | \(-0.979854\pi\) |
0.368551 | + | 0.929607i | \(0.379854\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.69816 | + | 7.69816i | 0.322158 | + | 0.322158i | 0.849595 | − | 0.527436i | \(-0.176847\pi\) |
−0.527436 | + | 0.849595i | \(0.676847\pi\) | |||||||
\(572\) | −4.50298 | − | 1.46311i | −0.188279 | − | 0.0611755i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −21.6712 | + | 2.67836i | −0.904540 | + | 0.111792i | ||||
\(575\) | −10.7169 | −0.446927 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.80472 | + | 6.80472i | 0.283284 | + | 0.283284i | 0.834417 | − | 0.551133i | \(-0.185804\pi\) |
−0.551133 | + | 0.834417i | \(0.685804\pi\) | |||||||
\(578\) | −7.14991 | − | 5.19471i | −0.297397 | − | 0.216072i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.56930 | + | 8.96776i | 0.189730 | + | 0.372366i | ||||
\(581\) | 4.87510 | − | 9.56792i | 0.202253 | − | 0.396944i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 21.4280i | − | 0.887456i | ||||||
\(584\) | −2.83645 | + | 2.06080i | −0.117373 | + | 0.0852766i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.82214 | + | 11.5045i | 0.0752717 | + | 0.475247i | ||||
\(587\) | 32.7606 | − | 16.6924i | 1.35217 | − | 0.688967i | 0.380388 | − | 0.924827i | \(-0.375791\pi\) |
0.971787 | + | 0.235860i | \(0.0757906\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −60.0593 | + | 9.51245i | −2.47470 | + | 0.391954i | ||||
\(590\) | 7.31255 | + | 22.5057i | 0.301053 | + | 0.926546i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.06788 | + | 6.36428i | −0.0849893 | + | 0.261570i | ||||
\(593\) | −31.8443 | − | 16.2255i | −1.30769 | − | 0.666300i | −0.345430 | − | 0.938444i | \(-0.612267\pi\) |
−0.962256 | + | 0.272145i | \(0.912267\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −29.3261 | + | 9.52864i | −1.20225 | + | 0.390636i | ||||
\(596\) | 11.5203 | + | 5.86990i | 0.471891 | + | 0.240440i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.91450 | + | 12.0877i | −0.0782898 | + | 0.494302i | ||||
\(599\) | 11.7757 | + | 36.2418i | 0.481141 | + | 1.48080i | 0.837493 | + | 0.546448i | \(0.184020\pi\) |
−0.356352 | + | 0.934352i | \(0.615980\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.66359 | + | 1.66359i | −0.0678592 | + | 0.0678592i | −0.740222 | − | 0.672363i | \(-0.765280\pi\) |
0.672363 | + | 0.740222i | \(0.265280\pi\) | |||||||
\(602\) | 8.78193 | − | 4.47462i | 0.357925 | − | 0.182372i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −11.1721 | − | 1.76949i | −0.454587 | − | 0.0719995i | ||||
\(605\) | −8.48912 | + | 6.16770i | −0.345132 | + | 0.250753i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.03466 | + | 6.92961i | 0.204350 | + | 0.281264i | 0.898875 | − | 0.438204i | \(-0.144385\pi\) |
−0.694525 | + | 0.719469i | \(0.744385\pi\) | |||||||
\(608\) | 2.77530 | − | 5.44683i | 0.112553 | − | 0.220898i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 12.6158 | − | 17.3642i | 0.510800 | − | 0.703056i | ||||
\(611\) | −5.06109 | − | 3.67710i | −0.204750 | − | 0.148760i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.33321 | − | 2.70762i | −0.336575 | − | 0.109360i | 0.135853 | − | 0.990729i | \(-0.456622\pi\) |
−0.472428 | + | 0.881369i | \(0.656622\pi\) | |||||||
\(614\) | 5.43739 | 0.219435 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.70225 | −0.310332 | ||||||||
\(617\) | 4.59259 | + | 1.49222i | 0.184891 | + | 0.0600746i | 0.399999 | − | 0.916516i | \(-0.369010\pi\) |
−0.215108 | + | 0.976590i | \(0.569010\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.31099 | + | 6.03829i | 0.334047 | + | 0.242699i | 0.742146 | − | 0.670238i | \(-0.233808\pi\) |
−0.408099 | + | 0.912938i | \(0.633808\pi\) | |||||||
\(620\) | 10.4005 | − | 14.3150i | 0.417693 | − | 0.574905i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.38148 | − | 12.5244i | 0.255874 | − | 0.502181i | ||||
\(623\) | 2.04297 | + | 2.81191i | 0.0818499 | + | 0.112657i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.0735 | − | 7.31882i | 0.402939 | − | 0.292753i | ||||
\(626\) | 25.6343 | + | 4.06008i | 1.02455 | + | 0.162273i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.5224 | + | 5.36145i | −0.419891 | + | 0.213945i | ||||
\(629\) | 24.0522 | − | 24.0522i | 0.959025 | − | 0.959025i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.28253 | − | 16.2580i | −0.210294 | − | 0.647220i | −0.999454 | − | 0.0330318i | \(-0.989484\pi\) |
0.789160 | − | 0.614188i | \(-0.210516\pi\) | |||||||
\(632\) | −1.58171 | + | 9.98653i | −0.0629171 | + | 0.397243i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −24.3122 | − | 12.3877i | −0.965560 | − | 0.491977i | ||||
\(635\) | −19.4064 | + | 6.30552i | −0.770120 | + | 0.250227i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.64747 | − | 4.40611i | −0.342625 | − | 0.174576i | ||||
\(638\) | 3.94896 | − | 12.1536i | 0.156341 | − | 0.481167i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.549692 | + | 1.69178i | 0.0217285 | + | 0.0668734i | ||||
\(641\) | −43.9387 | + | 6.95921i | −1.73547 | + | 0.274872i | −0.942457 | − | 0.334327i | \(-0.891491\pi\) |
−0.793017 | + | 0.609199i | \(0.791491\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.1424 | + | 6.18688i | −0.478851 | + | 0.243987i | −0.676718 | − | 0.736242i | \(-0.736599\pi\) |
0.197867 | + | 0.980229i | \(0.436599\pi\) | |||||||
\(644\) | 3.11444 | + | 19.6638i | 0.122726 | + | 0.774861i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −25.1390 | + | 18.2646i | −0.989081 | + | 0.718610i | ||||
\(647\) | − | 22.5423i | − | 0.886229i | −0.896465 | − | 0.443114i | \(-0.853874\pi\) | ||
0.896465 | − | 0.443114i | \(-0.146126\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.6405 | − | 26.7710i | 0.535436 | − | 1.05085i | ||||
\(650\) | 1.74708 | + | 3.42884i | 0.0685262 | + | 0.134490i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.09406 | + | 4.42759i | 0.238662 | + | 0.173398i | ||||
\(653\) | −25.3012 | − | 25.3012i | −0.990114 | − | 0.990114i | 0.00983760 | − | 0.999952i | \(-0.496869\pi\) |
−0.999952 | + | 0.00983760i | \(0.996869\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −26.5029 | −1.03555 | ||||||||
\(656\) | 2.18522 | − | 6.01871i | 0.0853185 | − | 0.234991i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.67870 | − | 3.14480i | −0.377315 | − | 0.122597i | ||||
\(659\) | 6.43824 | + | 6.43824i | 0.250798 | + | 0.250798i | 0.821298 | − | 0.570500i | \(-0.193250\pi\) |
−0.570500 | + | 0.821298i | \(0.693250\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.0749 | + | 17.9961i | −0.508555 | + | 0.699966i | −0.983675 | − | 0.179955i | \(-0.942405\pi\) |
0.475120 | + | 0.879921i | \(0.342405\pi\) | |||||||
\(662\) | 13.3039 | + | 26.1103i | 0.517070 | + | 1.01481i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.85085 | + | 2.54748i | 0.0718270 | + | 0.0988614i | ||||
\(665\) | 37.0838i | 1.43805i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −32.6249 | − | 5.16728i | −1.26324 | − | 0.200078i | ||||
\(668\) | −2.98423 | − | 18.8417i | −0.115463 | − | 0.729007i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.00883588 | − | 0.00883588i | 0.000341360 | − | 0.000341360i | ||||
\(671\) | −26.9162 | + | 4.26310i | −1.03909 | + | 0.164575i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.64345 | + | 29.3176i | −0.178992 | + | 1.13011i | 0.720592 | + | 0.693360i | \(0.243870\pi\) |
−0.899583 | + | 0.436749i | \(0.856130\pi\) | |||||||
\(674\) | 5.98653 | − | 18.4247i | 0.230593 | − | 0.709691i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −8.18422 | + | 2.65922i | −0.314778 | + | 0.102278i | ||||
\(677\) | −27.0578 | + | 8.79161i | −1.03992 | + | 0.337889i | −0.778703 | − | 0.627392i | \(-0.784122\pi\) |
−0.261212 | + | 0.965281i | \(0.584122\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.74668 | + | 20.7641i | −0.258914 | + | 0.796854i | ||||
\(680\) | 1.41448 | − | 8.93069i | 0.0542429 | − | 0.342476i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −22.1897 | + | 3.51450i | −0.849687 | + | 0.134577i | ||||
\(683\) | 35.9543 | − | 35.9543i | 1.37575 | − | 1.37575i | 0.524095 | − | 0.851660i | \(-0.324404\pi\) |
0.851660 | − | 0.524095i | \(-0.175596\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.55761 | + | 9.83433i | 0.0595130 | + | 0.375751i | ||||
\(686\) | 7.98389 | + | 1.26452i | 0.304826 | + | 0.0482798i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.89019i | 0.110187i | ||||||||
\(689\) | 11.6903 | + | 16.0903i | 0.445364 | + | 0.612992i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.1551 | + | 27.7809i | 0.538484 | + | 1.05683i | 0.986646 | + | 0.162881i | \(0.0520787\pi\) |
−0.448162 | + | 0.893952i | \(0.647921\pi\) | |||||||
\(692\) | −3.27197 | + | 4.50348i | −0.124382 | + | 0.171197i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −9.91966 | − | 9.91966i | −0.376545 | − | 0.376545i | ||||
\(695\) | −16.8875 | − | 5.48709i | −0.640581 | − | 0.208137i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −23.7862 | + | 22.2163i | −0.900967 | + | 0.841503i | ||||
\(698\) | 33.8938 | 1.28290 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.42665 | + | 4.42665i | 0.167312 | + | 0.167312i | ||||
\(701\) | −3.84706 | − | 2.79505i | −0.145302 | − | 0.105568i | 0.512760 | − | 0.858532i | \(-0.328623\pi\) |
−0.658061 | + | 0.752964i | \(0.728623\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −18.5717 | − | 36.4491i | −0.700447 | − | 1.37470i | ||||
\(704\) | 1.02537 | − | 2.01240i | 0.0386451 | − | 0.0758453i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 16.9255i | − | 0.636998i | ||||||
\(707\) | −34.1564 | + | 24.8160i | −1.28458 | + | 0.933303i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.93858 | + | 43.8085i | 0.260584 | + | 1.64526i | 0.676924 | + | 0.736053i | \(0.263313\pi\) |
−0.416340 | + | 0.909209i | \(0.636687\pi\) | |||||||
\(710\) | −2.22706 | + | 1.13474i | −0.0835799 | + | 0.0425861i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.00665 | + | 0.159438i | −0.0377259 | + | 0.00597520i | ||||
\(713\) | 17.9450 | + | 55.2290i | 0.672045 | + | 2.06834i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.60263 | + | 8.01008i | −0.0973330 | + | 0.299560i | ||||
\(716\) | −10.9960 | − | 5.60275i | −0.410940 | − | 0.209385i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.83039 | − | 1.56949i | 0.180269 | − | 0.0585728i | ||||
\(719\) | −18.6341 | − | 9.49457i | −0.694936 | − | 0.354088i | 0.0705784 | − | 0.997506i | \(-0.477516\pi\) |
−0.765515 | + | 0.643419i | \(0.777516\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.21198 | + | 51.8484i | −0.305830 | + | 1.93094i | ||||
\(722\) | 5.67672 | + | 17.4712i | 0.211266 | + | 0.650209i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −8.87148 | + | 8.87148i | −0.329706 | + | 0.329706i | ||||
\(725\) | −9.25452 | + | 4.71541i | −0.343704 | + | 0.175126i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.19619 | − | 1.45653i | −0.341068 | − | 0.0540198i | −0.0164488 | − | 0.999865i | \(-0.505236\pi\) |
−0.324619 | + | 0.945845i | \(0.605236\pi\) | |||||||
\(728\) | 5.78363 | − | 4.20205i | 0.214356 | − | 0.155739i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.66584 | + | 5.04560i | 0.135679 | + | 0.186746i | ||||
\(731\) | 6.66960 | − | 13.0898i | 0.246684 | − | 0.484145i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.74503 | + | 5.15459i | −0.138326 | + | 0.190389i | −0.872560 | − | 0.488507i | \(-0.837542\pi\) |
0.734234 | + | 0.678897i | \(0.237542\pi\) | |||||||
\(734\) | −25.1760 | − | 18.2914i | −0.929261 | − | 0.675148i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.55226 | − | 1.80404i | −0.204659 | − | 0.0664978i | ||||
\(737\) | −0.0158658 | −0.000584423 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 28.7896 | 1.05904 | 0.529521 | − | 0.848297i | \(-0.322372\pi\) | ||||
0.529521 | + | 0.848297i | \(0.322372\pi\) | |||||||
\(740\) | 11.3210 | + | 3.67843i | 0.416170 | + | 0.135222i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 26.1751 | + | 19.0173i | 0.960917 | + | 0.698147i | ||||
\(743\) | 21.6382 | − | 29.7825i | 0.793830 | − | 1.09261i | −0.199791 | − | 0.979839i | \(-0.564026\pi\) |
0.993621 | − | 0.112775i | \(-0.0359738\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.4416 | − | 20.4928i | 0.382551 | − | 0.750799i | ||||
\(746\) | −22.4297 | − | 30.8719i | −0.821211 | − | 1.13030i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9.28793 | + | 6.74808i | −0.339601 | + | 0.246734i | ||||
\(749\) | 35.5364 | + | 5.62842i | 1.29847 | + | 0.205658i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.5643 | − | 12.5161i | 0.896365 | − | 0.456721i | 0.0558065 | − | 0.998442i | \(-0.482227\pi\) |
0.840558 | + | 0.541721i | \(0.182227\pi\) | |||||||
\(752\) | 2.11014 | − | 2.11014i | 0.0769490 | − | 0.0769490i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.66529 | + | 11.2806i | 0.133482 | + | 0.410815i | ||||
\(755\) | −3.14764 | + | 19.8734i | −0.114554 | + | 0.723268i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.0280 | − | 8.16668i | −0.582548 | − | 0.296823i | 0.137773 | − | 0.990464i | \(-0.456006\pi\) |
−0.720321 | + | 0.693641i | \(0.756006\pi\) | |||||||
\(758\) | 2.35759 | − | 0.766027i | 0.0856315 | − | 0.0278234i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.68905 | − | 4.93682i | −0.351459 | − | 0.179077i | ||||
\(761\) | −13.8331 | + | 42.5738i | −0.501449 | + | 1.54330i | 0.305212 | + | 0.952284i | \(0.401273\pi\) |
−0.806660 | + | 0.591015i | \(0.798727\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.01001 | − | 6.18617i | −0.0727672 | − | 0.223954i | ||||
\(764\) | 8.20975 | − | 1.30030i | 0.297018 | − | 0.0470431i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.47894 | − | 3.30118i | 0.234093 | − | 0.119277i | ||||
\(767\) | 4.36256 | + | 27.5441i | 0.157523 | + | 0.994560i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.7023 | + | 7.77569i | −0.385936 | + | 0.280399i | −0.763788 | − | 0.645467i | \(-0.776663\pi\) |
0.377852 | + | 0.925866i | \(0.376663\pi\) | |||||||
\(770\) | 13.7011i | 0.493753i | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.301521 | − | 0.591769i | 0.0108520 | − | 0.0212982i | ||||
\(773\) | 10.0599 | + | 19.7436i | 0.361829 | + | 0.710130i | 0.998118 | − | 0.0613212i | \(-0.0195314\pi\) |
−0.636289 | + | 0.771451i | \(0.719531\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 14.7728 | + | 10.7330i | 0.530653 | + | 0.385542i | ||||
\(776\) | −4.52698 | − | 4.52698i | −0.162509 | − | 0.162509i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 25.3280 | 0.908052 | ||||||||
\(779\) | 16.5707 | + | 35.4625i | 0.593708 | + | 1.27058i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.01824 | + | 0.980685i | 0.108001 | + | 0.0350917i | ||||
\(782\) | 20.9834 | + | 20.9834i | 0.750365 | + | 0.750365i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.72124 | − | 3.74547i | 0.0971873 | − | 0.133767i | ||||
\(785\) | 9.53717 | + | 18.7177i | 0.340396 | + | 0.668065i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.94765 | − | 5.43347i | −0.140718 | − | 0.193682i | 0.732841 | − | 0.680400i | \(-0.238194\pi\) |
−0.873559 | + | 0.486718i | \(0.838194\pi\) | |||||||
\(788\) | 25.5286i | 0.909417i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 17.7645 | + | 2.81361i | 0.632031 | + | 0.100104i | ||||
\(791\) | −4.39149 | − | 27.7268i | −0.156143 | − | 0.985850i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.8856 | − | 17.8856i | 0.635137 | − | 0.635137i | ||||
\(794\) | 18.0462 | − | 2.85823i | 0.640435 | − | 0.101435i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.88476 | + | 11.8999i | −0.0668036 | + | 0.421781i | ||||
\(797\) | 10.9411 | − | 33.6732i | 0.387553 | − | 1.19276i | −0.547059 | − | 0.837094i | \(-0.684253\pi\) |
0.934611 | − | 0.355671i | \(-0.115747\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.4265 | + | 4.68745i | −0.510373 | + | 0.165830i | ||||
\(800\) | −1.74588 | + | 0.567269i | −0.0617260 | + | 0.0200560i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.32416 | − | 16.3861i | 0.188003 | − | 0.578613i | ||||
\(803\) | 1.23875 | − | 7.82117i | 0.0437146 | − | 0.276003i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 34.9788 | − | 5.54009i | 1.23284 | − | 0.195263i | ||||
\(806\) | 14.7449 | − | 14.7449i | 0.519367 | − | 0.519367i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.93670 | − | 12.2279i | −0.0681330 | − | 0.430175i | ||||
\(809\) | −42.6095 | − | 6.74868i | −1.49807 | − | 0.237271i | −0.647068 | − | 0.762433i | \(-0.724005\pi\) |
−0.851003 | + | 0.525162i | \(0.824005\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 32.7241i | 1.14910i | 0.818470 | + | 0.574549i | \(0.194823\pi\) | ||||
−0.818470 | + | 0.574549i | \(0.805177\pi\) | |||||||
\(812\) | 11.3414 | + | 15.6102i | 0.398006 | + | 0.547809i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −6.86157 | − | 13.4666i | −0.240498 | − | 0.472004i | ||||
\(815\) | 7.87598 | − | 10.8404i | 0.275884 | − | 0.379721i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −12.4932 | − | 12.4932i | −0.437082 | − | 0.437082i | ||||
\(818\) | −36.6617 | − | 11.9121i | −1.28185 | − | 0.416497i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −10.7063 | − | 3.88716i | −0.373881 | − | 0.135746i | ||||
\(821\) | 23.3134 | 0.813645 | 0.406822 | − | 0.913507i | \(-0.366637\pi\) | ||||
0.406822 | + | 0.913507i | \(0.366637\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.04389 | + | 8.04389i | 0.280392 | + | 0.280392i | 0.833265 | − | 0.552873i | \(-0.186469\pi\) |
−0.552873 | + | 0.833265i | \(0.686469\pi\) | |||||||
\(824\) | −12.4534 | − | 9.04796i | −0.433836 | − | 0.315201i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.5958 | + | 40.4216i | 0.716621 | + | 1.40645i | ||||
\(827\) | −17.9249 | + | 35.1797i | −0.623311 | + | 1.22332i | 0.336238 | + | 0.941777i | \(0.390845\pi\) |
−0.959549 | + | 0.281540i | \(0.909155\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 33.6575i | − | 1.16897i | −0.811403 | − | 0.584487i | \(-0.801296\pi\) | ||
0.811403 | − | 0.584487i | \(-0.198704\pi\) | |||||||
\(830\) | 4.53156 | − | 3.29237i | 0.157293 | − | 0.114280i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.327938 | + | 2.07052i | 0.0113692 | + | 0.0717824i | ||||
\(833\) | −20.9680 | + | 10.6837i | −0.726499 | + | 0.370170i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −33.5164 | + | 5.30847i | −1.15988 | + | 0.183707i | ||||
\(836\) | 4.26657 | + | 13.1312i | 0.147563 | + | 0.454151i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.00676 | + | 21.5646i | −0.242045 | + | 0.744937i | ||||
\(839\) | −26.0813 | − | 13.2891i | −0.900427 | − | 0.458790i | −0.0584415 | − | 0.998291i | \(-0.518613\pi\) |
−0.841985 | + | 0.539500i | \(0.818613\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.86593 | + | 0.931196i | −0.0988251 | + | 0.0321102i | ||||
\(842\) | −12.2999 | − | 6.26709i | −0.423881 | − | 0.215978i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 2.00117 | − | 12.6349i | 0.0688831 | − | 0.434911i | ||||
\(845\) | 4.73032 | + | 14.5584i | 0.162728 | + | 0.500826i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −14.2245 | + | 14.2245i | −0.488758 | + | 0.488758i | ||||
\(848\) | −8.45333 | + | 4.30719i | −0.290289 | + | 0.147909i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 9.21625 | + | 1.45971i | 0.316115 | + | 0.0500677i | ||||
\(851\) | −31.6056 | + | 22.9628i | −1.08343 | + | 0.787155i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.4626 | + | 21.2825i | 0.529430 | + | 0.728699i | 0.987043 | − | 0.160453i | \(-0.0512955\pi\) |
−0.457613 | + | 0.889151i | \(0.651295\pi\) | |||||||
\(854\) | 18.6806 | − | 36.6627i | 0.639235 | − | 1.25457i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.20139 | + | 8.53548i | −0.211959 | + | 0.291737i | ||||
\(857\) | −43.3328 | − | 31.4832i | −1.48022 | − | 1.07544i | −0.977485 | − | 0.211005i | \(-0.932326\pi\) |
−0.502737 | − | 0.864440i | \(-0.667674\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −32.4890 | − | 10.5563i | −1.10851 | − | 0.360177i | −0.303138 | − | 0.952947i | \(-0.598034\pi\) |
−0.805372 | + | 0.592770i | \(0.798034\pi\) | |||||||
\(860\) | 5.14118 | 0.175313 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −38.8158 | −1.32207 | ||||||||
\(863\) | −20.6558 | − | 6.71148i | −0.703132 | − | 0.228462i | −0.0644375 | − | 0.997922i | \(-0.520525\pi\) |
−0.638695 | + | 0.769460i | \(0.720525\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.01098 | + | 5.82032i | 0.272381 | + | 0.197897i | ||||
\(866\) | −14.8307 | + | 20.4127i | −0.503968 | + | 0.693652i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 15.4002 | − | 30.2247i | 0.522718 | − | 1.02589i | ||||
\(869\) | −13.4229 | − | 18.4751i | −0.455342 | − | 0.626724i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.0119136 | − | 0.00865577i | 0.000403678 | − | 0.000293290i | ||||
\(872\) | 1.88387 | + | 0.298376i | 0.0637960 | + | 0.0101043i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 31.7986 | − | 16.2022i | 1.07560 | − | 0.548047i | ||||
\(875\) | 29.3218 | − | 29.3218i | 0.991257 | − | 0.991257i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −16.9023 | − | 52.0199i | −0.570750 | − | 1.75659i | −0.650216 | − | 0.759750i | \(-0.725321\pi\) |
0.0794659 | − | 0.996838i | \(-0.474679\pi\) | |||||||
\(878\) | 5.06670 | − | 31.9899i | 0.170993 | − | 1.07961i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.57975 | − | 1.82397i | −0.120673 | − | 0.0614861i | ||||
\(881\) | −35.4552 | + | 11.5201i | −1.19452 | + | 0.388122i | −0.837740 | − | 0.546069i | \(-0.816124\pi\) |
−0.356775 | + | 0.934190i | \(0.616124\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −35.7781 | − | 18.2299i | −1.20403 | − | 0.613483i | −0.267325 | − | 0.963606i | \(-0.586140\pi\) |
−0.936704 | + | 0.350123i | \(0.886140\pi\) | |||||||
\(884\) | 3.29283 | − | 10.1343i | 0.110750 | − | 0.340853i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.93560 | + | 18.2679i | 0.199411 | + | 0.613722i | ||||
\(887\) | −22.8530 | + | 3.61956i | −0.767328 | + | 0.121533i | −0.527814 | − | 0.849360i | \(-0.676988\pi\) |
−0.239514 | + | 0.970893i | \(0.576988\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −34.8551 | + | 17.7595i | −1.16900 | + | 0.595636i | ||||
\(890\) | 0.283615 | + | 1.79068i | 0.00950681 | + | 0.0600236i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −12.4001 | + | 9.00923i | −0.415188 | + | 0.301651i | ||||
\(893\) | 18.2427i | 0.610470i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9.96641 | + | 19.5602i | −0.333140 | + | 0.653824i | ||||
\(896\) | 1.54821 | + | 3.03854i | 0.0517221 | + | 0.101510i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 2.69334 | + | 1.95683i | 0.0898780 | + | 0.0653002i | ||||
\(899\) | 39.7968 | + | 39.7968i | 1.32730 | + | 1.32730i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 48.2253 | 1.60662 | ||||||||
\(902\) | 6.12227 | + | 13.1021i | 0.203849 | + | 0.436252i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.82893 | + | 2.54377i | 0.260386 | + | 0.0846046i | ||||
\(905\) | 15.7810 | + | 15.7810i | 0.524577 | + | 0.524577i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.2547 | − | 19.6199i | 0.473320 | − | 0.651469i | −0.503884 | − | 0.863771i | \(-0.668096\pi\) |
0.977204 | + | 0.212303i | \(0.0680962\pi\) | |||||||
\(908\) | −3.37161 | − | 6.61717i | −0.111891 | − | 0.219598i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −7.47479 | − | 10.2882i | −0.247787 | − | 0.341049i | ||||
\(911\) | − | 11.7055i | − | 0.387822i | −0.981019 | − | 0.193911i | \(-0.937883\pi\) | ||
0.981019 | − | 0.193911i | \(-0.0621173\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.02436 | − | 1.11255i | −0.232473 | − | 0.0368200i | ||||
\(914\) | 1.20031 | + | 7.57847i | 0.0397028 | + | 0.250673i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.65481 | − | 2.65481i | 0.0877175 | − | 0.0877175i | ||||
\(917\) | −50.1833 | + | 7.94825i | −1.65720 | + | 0.262474i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.95978 | − | 12.3736i | 0.0646472 | − | 0.408166i | −0.934050 | − | 0.357142i | \(-0.883751\pi\) |
0.998697 | − | 0.0510246i | \(-0.0162487\pi\) | |||||||
\(920\) | −3.20910 | + | 9.87659i | −0.105801 | + | 0.325622i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 22.4520 | − | 7.29510i | 0.739418 | − | 0.240251i | ||||
\(923\) | −2.80142 | + | 0.910238i | −0.0922100 | + | 0.0299608i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.79605 | + | 11.6830i | −0.124813 | + | 0.384136i | ||||
\(926\) | 2.93227 | − | 18.5136i | 0.0963603 | − | 0.608395i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −5.58838 | + | 0.885112i | −0.183448 | + | 0.0290552i | ||||
\(929\) | 31.9483 | − | 31.9483i | 1.04819 | − | 1.04819i | 0.0494113 | − | 0.998779i | \(-0.484265\pi\) |
0.998779 | − | 0.0494113i | \(-0.0157345\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.42735 | + | 27.9532i | 0.145101 | + | 0.916130i | ||||
\(932\) | 23.7152 | + | 3.75611i | 0.776816 | + | 0.123036i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 0.653695i | − | 0.0213896i | ||||||
\(935\) | 12.0038 | + | 16.5218i | 0.392565 | + | 0.540319i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −19.3593 | − | 37.9948i | −0.632441 | − | 1.24124i | −0.955537 | − | 0.294870i | \(-0.904724\pi\) |
0.323096 | − | 0.946366i | \(-0.395276\pi\) | |||||||
\(938\) | 0.0140809 | − | 0.0193807i | 0.000459757 | − | 0.000632801i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.75361 | − | 3.75361i | −0.122429 | − | 0.122429i | ||||
\(941\) | −45.0498 | − | 14.6376i | −1.46858 | − | 0.477171i | −0.537902 | − | 0.843007i | \(-0.680783\pi\) |
−0.930679 | + | 0.365836i | \(0.880783\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 30.9740 | − | 20.9280i | 1.00865 | − | 0.681510i | ||||
\(944\) | −13.3030 | −0.432976 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.61577 | − | 4.61577i | −0.150072 | − | 0.150072i | ||||
\(947\) | 27.4149 | + | 19.9181i | 0.890864 | + | 0.647250i | 0.936103 | − | 0.351726i | \(-0.114405\pi\) |
−0.0452393 | + | 0.998976i | \(0.514405\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.33675 | + | 6.54874i | 0.108316 | + | 0.212581i | ||||
\(950\) | 5.09468 | − | 9.99887i | 0.165293 | − | 0.324406i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | − | 17.3345i | − | 0.561814i | ||||||
\(953\) | −5.51549 | + | 4.00724i | −0.178664 | + | 0.129807i | −0.673523 | − | 0.739166i | \(-0.735220\pi\) |
0.494859 | + | 0.868973i | \(0.335220\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.31302 | − | 14.6038i | −0.0748476 | − | 0.472569i | ||||
\(956\) | 10.7553 | − | 5.48012i | 0.347853 | − | 0.177240i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −28.7228 | + | 4.54925i | −0.927993 | + | 0.146980i | ||||
\(959\) | 5.89866 | + | 18.1542i | 0.190478 | + | 0.586230i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.9962 | − | 64.6196i | 0.677296 | − | 2.08450i | ||||
\(962\) | 12.4992 | + | 6.36868i | 0.402991 | + | 0.205334i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.32225 | − | 0.754546i | 0.0747948 | − | 0.0243023i | ||||
\(965\) | −1.05266 | − | 0.536359i | −0.0338864 | − | 0.0172660i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.66846 | − | 42.1030i | 0.214443 | − | 1.35394i | −0.611972 | − | 0.790880i | \(-0.709623\pi\) |
0.826415 | − | 0.563062i | \(-0.190377\pi\) | |||||||
\(968\) | −1.82285 | − | 5.61014i | −0.0585885 | − | 0.180317i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.05279 | + | 8.05279i | −0.258559 | + | 0.258559i | ||||
\(971\) | −10.4282 | + | 5.31345i | −0.334658 | + | 0.170517i | −0.613242 | − | 0.789895i | \(-0.710135\pi\) |
0.278584 | + | 0.960412i | \(0.410135\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −33.6222 | − | 5.32523i | −1.07788 | − | 0.170719i | ||||
\(974\) | −14.0627 | + | 10.2172i | −0.450599 | + | 0.327379i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.09216 | + | 9.76152i | 0.227014 | + | 0.312458i | ||||
\(977\) | 25.0815 | − | 49.2252i | 0.802427 | − | 1.57485i | −0.0157428 | − | 0.999876i | \(-0.505011\pi\) |
0.818170 | − | 0.574976i | \(-0.194989\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.35305 | − | 1.86231i | 0.0432436 | − | 0.0595197i | ||||
\(980\) | −6.66260 | − | 4.84066i | −0.212829 | − | 0.154629i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 18.2287 | + | 5.92288i | 0.581702 | + | 0.189007i | ||||
\(983\) | 36.6332 | 1.16842 | 0.584209 | − | 0.811603i | \(-0.301405\pi\) | ||||
0.584209 | + | 0.811603i | \(0.301405\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 45.4113 | 1.44692 | ||||||||
\(986\) | 27.3527 | + | 8.88742i | 0.871087 | + | 0.283033i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −10.3676 | − | 7.53254i | −0.329839 | − | 0.239642i | ||||
\(989\) | −9.91763 | + | 13.6504i | −0.315362 | + | 0.434059i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.79439 | − | 3.52169i | 0.0570008 | − | 0.111870i | −0.860749 | − | 0.509030i | \(-0.830004\pi\) |
0.917749 | + | 0.397160i | \(0.130004\pi\) | |||||||
\(992\) | 5.84677 | + | 8.04738i | 0.185635 | + | 0.255505i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −3.87663 | + | 2.81654i | −0.122959 | + | 0.0893351i | ||||
\(995\) | 21.1681 | + | 3.35269i | 0.671073 | + | 0.106287i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −37.4675 | + | 19.0907i | −1.18661 | + | 0.604608i | −0.932008 | − | 0.362439i | \(-0.881944\pi\) |
−0.254601 | + | 0.967046i | \(0.581944\pi\) | |||||||
\(998\) | −12.8769 | + | 12.8769i | −0.407612 | + | 0.407612i | ||||
\(999\) | 0 | 0 |
(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 | 738.2.u.c.595.3 | yes | 24 | |
3.2 | odd | 2 | 738.2.u.d.595.1 | yes | 24 | ||
41.2 | even | 20 | inner | 738.2.u.c.289.3 | ✓ | 24 | |
123.2 | odd | 20 | 738.2.u.d.289.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
738.2.u.c.289.3 | ✓ | 24 | 41.2 | even | 20 | inner | |
738.2.u.c.595.3 | yes | 24 | 1.1 | even | 1 | trivial | |
738.2.u.d.289.1 | yes | 24 | 123.2 | odd | 20 | ||
738.2.u.d.595.1 | yes | 24 | 3.2 | odd | 2 |