Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1638,2,Mod(647,1638)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1638, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1638.647");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1638 = 2 \cdot 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1638.dw (of order \(6\), degree \(2\), 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: | \(13.0794958511\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 647.17 | ||
Character | \(\chi\) | \(=\) | 1638.647 |
Dual form | 1638.2.dw.b.719.17 |
$q$-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 \(\left(\mathbb{Z}/1638\mathbb{Z}\right)^\times\).
\(n\) | \(379\) | \(703\) | \(911\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 3.19176 | − | 1.84276i | 1.42740 | − | 0.824108i | 0.430483 | − | 0.902599i | \(-0.358343\pi\) |
0.996915 | + | 0.0784903i | \(0.0250100\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.56349 | + | 0.654608i | 0.968909 | + | 0.247418i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 3.68552i | − | 1.16547i | ||||||
\(11\) | −0.360649 | −0.108740 | −0.0543699 | − | 0.998521i | \(-0.517315\pi\) | ||||
−0.0543699 | + | 0.998521i | \(0.517315\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.09215 | − | 1.85435i | 0.857608 | − | 0.514304i | ||||
\(14\) | 1.84865 | − | 1.89275i | 0.494073 | − | 0.505857i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.62495 | + | 6.27861i | 0.879181 | + | 1.52279i | 0.852241 | + | 0.523149i | \(0.175243\pi\) |
0.0269392 | + | 0.999637i | \(0.491424\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.02117 | −0.234273 | −0.117137 | − | 0.993116i | \(-0.537372\pi\) | ||||
−0.117137 | + | 0.993116i | \(0.537372\pi\) | |||||||
\(20\) | −3.19176 | − | 1.84276i | −0.713699 | − | 0.412054i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.180325 | + | 0.312331i | −0.0384453 | + | 0.0665892i | ||||
\(23\) | 2.16373 | + | 1.24923i | 0.451169 | + | 0.260482i | 0.708324 | − | 0.705888i | \(-0.249452\pi\) |
−0.257155 | + | 0.966370i | \(0.582785\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.29155 | − | 7.43318i | 0.858309 | − | 1.48664i | ||||
\(26\) | −0.0598406 | − | 3.60505i | −0.0117357 | − | 0.707009i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.714839 | − | 2.54735i | −0.135092 | − | 0.481404i | ||||
\(29\) | 1.85395 | − | 1.07038i | 0.344270 | − | 0.198765i | −0.317888 | − | 0.948128i | \(-0.602974\pi\) |
0.662159 | + | 0.749364i | \(0.269640\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.995345 | + | 1.72399i | −0.178769 | + | 0.309637i | −0.941459 | − | 0.337127i | \(-0.890545\pi\) |
0.762690 | + | 0.646764i | \(0.223878\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.24991 | 1.24335 | ||||||||
\(35\) | 9.38833 | − | 2.63456i | 1.58692 | − | 0.445321i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.55479 | − | 3.20706i | −0.913201 | − | 0.527237i | −0.0317416 | − | 0.999496i | \(-0.510105\pi\) |
−0.881460 | + | 0.472259i | \(0.843439\pi\) | |||||||
\(38\) | −0.510587 | + | 0.884362i | −0.0828281 | + | 0.143462i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.19176 | + | 1.84276i | −0.504661 | + | 0.291366i | ||||
\(41\) | −6.58538 | + | 3.80207i | −1.02846 | + | 0.593783i | −0.916544 | − | 0.399934i | \(-0.869033\pi\) |
−0.111919 | + | 0.993717i | \(0.535700\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.865187 | − | 1.49855i | 0.131940 | − | 0.228526i | −0.792485 | − | 0.609892i | \(-0.791213\pi\) |
0.924424 | + | 0.381366i | \(0.124546\pi\) | |||||||
\(44\) | 0.180325 | + | 0.312331i | 0.0271849 | + | 0.0470857i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.16373 | − | 1.24923i | 0.319024 | − | 0.184189i | ||||
\(47\) | −5.77041 | + | 3.33155i | −0.841701 | + | 0.485956i | −0.857842 | − | 0.513914i | \(-0.828195\pi\) |
0.0161413 | + | 0.999870i | \(0.494862\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.14298 | + | 3.35616i | 0.877568 | + | 0.479452i | ||||
\(50\) | −4.29155 | − | 7.43318i | −0.606916 | − | 1.05121i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.15199 | − | 1.75070i | −0.437102 | − | 0.242779i | ||||
\(53\) | −1.92427 | − | 1.11098i | −0.264319 | − | 0.152604i | 0.361984 | − | 0.932184i | \(-0.382099\pi\) |
−0.626303 | + | 0.779580i | \(0.715433\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.15110 | + | 0.664591i | −0.155215 | + | 0.0896134i | ||||
\(56\) | −2.56349 | − | 0.654608i | −0.342561 | − | 0.0874756i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | − | 2.14076i | − | 0.281096i | ||||||
\(59\) | −8.42022 | + | 4.86142i | −1.09622 | + | 0.632902i | −0.935225 | − | 0.354053i | \(-0.884803\pi\) |
−0.160994 | + | 0.986955i | \(0.551470\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.28162i | 0.292132i | 0.989275 | + | 0.146066i | \(0.0466612\pi\) | ||||
−0.989275 | + | 0.146066i | \(0.953339\pi\) | |||||||
\(62\) | 0.995345 | + | 1.72399i | 0.126409 | + | 0.218947i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 6.45226 | − | 11.6167i | 0.800305 | − | 1.44088i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.2553i | 1.37505i | 0.726160 | + | 0.687526i | \(0.241303\pi\) | ||||
−0.726160 | + | 0.687526i | \(0.758697\pi\) | |||||||
\(68\) | 3.62495 | − | 6.27861i | 0.439590 | − | 0.761393i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.41257 | − | 9.44781i | 0.288358 | − | 1.12923i | ||||
\(71\) | 2.50082 | − | 4.33155i | 0.296793 | − | 0.514060i | −0.678608 | − | 0.734501i | \(-0.737416\pi\) |
0.975400 | + | 0.220441i | \(0.0707497\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.65435 | − | 13.2577i | 0.895874 | − | 1.55170i | 0.0631552 | − | 0.998004i | \(-0.479884\pi\) |
0.832719 | − | 0.553696i | \(-0.186783\pi\) | |||||||
\(74\) | −5.55479 | + | 3.20706i | −0.645731 | + | 0.372813i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.510587 | + | 0.884362i | 0.0585683 | + | 0.101443i | ||||
\(77\) | −0.924521 | − | 0.236084i | −0.105359 | − | 0.0269042i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.58586 | − | 7.94294i | −0.515949 | − | 0.893651i | −0.999829 | − | 0.0185157i | \(-0.994106\pi\) |
0.483879 | − | 0.875135i | \(-0.339227\pi\) | |||||||
\(80\) | 3.68552i | 0.412054i | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.60414i | 0.839737i | ||||||||
\(83\) | 11.1000i | 1.21839i | 0.793022 | + | 0.609193i | \(0.208507\pi\) | ||||
−0.793022 | + | 0.609193i | \(0.791493\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 23.1400 | + | 13.3599i | 2.50988 | + | 1.44908i | ||||
\(86\) | −0.865187 | − | 1.49855i | −0.0932955 | − | 0.161593i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.360649 | 0.0384453 | ||||||||
\(89\) | −12.6748 | − | 7.31778i | −1.34352 | − | 0.775683i | −0.356200 | − | 0.934410i | \(-0.615928\pi\) |
−0.987323 | + | 0.158727i | \(0.949261\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.14057 | − | 2.72947i | 0.958192 | − | 0.286126i | ||||
\(92\) | − | 2.49846i | − | 0.260482i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.66309i | 0.687246i | ||||||||
\(95\) | −3.25934 | + | 1.88178i | −0.334401 | + | 0.193067i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.87790 | − | 13.6449i | 0.799880 | − | 1.38543i | −0.119815 | − | 0.992796i | \(-0.538230\pi\) |
0.919694 | − | 0.392636i | \(-0.128437\pi\) | |||||||
\(98\) | 5.97801 | − | 3.64189i | 0.603870 | − | 0.367887i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.58309 | −0.858309 | ||||||||
\(101\) | −8.76556 | −0.872206 | −0.436103 | − | 0.899897i | \(-0.643642\pi\) | ||||
−0.436103 | + | 0.899897i | \(0.643642\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.72155 | − | 1.57129i | 0.268162 | − | 0.154824i | −0.359890 | − | 0.932995i | \(-0.617186\pi\) |
0.628052 | + | 0.778171i | \(0.283852\pi\) | |||||||
\(104\) | −3.09215 | + | 1.85435i | −0.303210 | + | 0.181834i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.92427 | + | 1.11098i | −0.186902 | + | 0.107908i | ||||
\(107\) | −16.0555 | − | 9.26964i | −1.55214 | − | 0.896130i | −0.997967 | − | 0.0637300i | \(-0.979700\pi\) |
−0.554175 | − | 0.832400i | \(-0.686966\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.81950 | + | 3.93724i | 0.653189 | + | 0.377119i | 0.789677 | − | 0.613523i | \(-0.210248\pi\) |
−0.136488 | + | 0.990642i | \(0.543581\pi\) | |||||||
\(110\) | 1.32918i | 0.126732i | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.84865 | + | 1.89275i | −0.174681 | + | 0.178848i | ||||
\(113\) | 0.239792 | + | 0.138444i | 0.0225577 | + | 0.0130237i | 0.511236 | − | 0.859440i | \(-0.329188\pi\) |
−0.488679 | + | 0.872464i | \(0.662521\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.20813 | 0.858663 | ||||||||
\(116\) | −1.85395 | − | 1.07038i | −0.172135 | − | 0.0993823i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.72283i | 0.895059i | ||||||||
\(119\) | 5.18252 | + | 18.4681i | 0.475081 | + | 1.69297i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.8699 | −0.988176 | ||||||||
\(122\) | 1.97594 | + | 1.14081i | 0.178894 | + | 0.103284i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.99069 | 0.178769 | ||||||||
\(125\) | − | 13.2056i | − | 1.18114i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.18786 | − | 8.98564i | −0.460348 | − | 0.797347i | 0.538630 | − | 0.842543i | \(-0.318942\pi\) |
−0.998978 | + | 0.0451957i | \(0.985609\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.83426 | − | 11.3962i | −0.599404 | − | 0.999512i | ||||
\(131\) | −4.14703 | − | 7.18287i | −0.362328 | − | 0.627570i | 0.626016 | − | 0.779810i | \(-0.284685\pi\) |
−0.988344 | + | 0.152240i | \(0.951351\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.61777 | − | 0.668468i | −0.226989 | − | 0.0579635i | ||||
\(134\) | 9.74737 | + | 5.62764i | 0.842044 | + | 0.486154i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.62495 | − | 6.27861i | −0.310837 | − | 0.538386i | ||||
\(137\) | −0.596243 | − | 1.03272i | −0.0509404 | − | 0.0882314i | 0.839431 | − | 0.543467i | \(-0.182889\pi\) |
−0.890371 | + | 0.455235i | \(0.849555\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.8421 | − | 9.72381i | −1.42853 | − | 0.824763i | −0.431527 | − | 0.902100i | \(-0.642025\pi\) |
−0.997005 | + | 0.0773371i | \(0.975358\pi\) | |||||||
\(140\) | −6.97576 | − | 6.81326i | −0.589559 | − | 0.575825i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.50082 | − | 4.33155i | −0.209864 | − | 0.363495i | ||||
\(143\) | −1.11518 | + | 0.668770i | −0.0932561 | + | 0.0559253i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.94491 | − | 6.83279i | 0.327607 | − | 0.567432i | ||||
\(146\) | −7.65435 | − | 13.2577i | −0.633479 | − | 1.09722i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.41412i | 0.527237i | ||||||||
\(149\) | −7.73438 | −0.633625 | −0.316812 | − | 0.948488i | \(-0.602613\pi\) | ||||
−0.316812 | + | 0.948488i | \(0.602613\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.8722 | − | 7.43180i | −1.04753 | − | 0.604791i | −0.125572 | − | 0.992084i | \(-0.540077\pi\) |
−0.921956 | + | 0.387294i | \(0.873410\pi\) | |||||||
\(152\) | 1.02117 | 0.0828281 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.666715 | + | 0.682617i | −0.0537254 | + | 0.0550068i | ||||
\(155\) | 7.33674i | 0.589301i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.75405 | + | 2.16740i | 0.299605 | + | 0.172977i | 0.642266 | − | 0.766482i | \(-0.277995\pi\) |
−0.342660 | + | 0.939459i | \(0.611328\pi\) | |||||||
\(158\) | −9.17172 | −0.729663 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.19176 | + | 1.84276i | 0.252331 | + | 0.145683i | ||||
\(161\) | 4.72895 | + | 4.61878i | 0.372693 | + | 0.364011i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.00364i | 0.548567i | 0.961649 | + | 0.274284i | \(0.0884407\pi\) | ||||
−0.961649 | + | 0.274284i | \(0.911559\pi\) | |||||||
\(164\) | 6.58538 | + | 3.80207i | 0.514232 | + | 0.296892i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.61290 | + | 5.55001i | 0.746106 | + | 0.430764i | ||||
\(167\) | 16.4440 | − | 9.49393i | 1.27247 | − | 0.734662i | 0.297019 | − | 0.954871i | \(-0.404007\pi\) |
0.975453 | + | 0.220209i | \(0.0706741\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.12277 | − | 11.4679i | 0.470982 | − | 0.882143i | ||||
\(170\) | 23.1400 | − | 13.3599i | 1.77475 | − | 1.02465i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.73037 | −0.131940 | ||||||||
\(173\) | 18.1262 | 1.37811 | 0.689056 | − | 0.724708i | \(-0.258025\pi\) | ||||
0.689056 | + | 0.724708i | \(0.258025\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 15.8672 | − | 16.2456i | 1.19944 | − | 1.22805i | ||||
\(176\) | 0.180325 | − | 0.312331i | 0.0135925 | − | 0.0235429i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.6748 | + | 7.31778i | −0.950014 | + | 0.548491i | ||||
\(179\) | 11.9411i | 0.892519i | 0.894904 | + | 0.446259i | \(0.147244\pi\) | ||||
−0.894904 | + | 0.446259i | \(0.852756\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.92887i | 0.515019i | 0.966276 | + | 0.257510i | \(0.0829019\pi\) | ||||
−0.966276 | + | 0.257510i | \(0.917098\pi\) | |||||||
\(182\) | 2.20650 | − | 9.28070i | 0.163556 | − | 0.687931i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.16373 | − | 1.24923i | −0.159512 | − | 0.0920944i | ||||
\(185\) | −23.6394 | −1.73800 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.30734 | − | 2.26437i | −0.0956019 | − | 0.165587i | ||||
\(188\) | 5.77041 | + | 3.33155i | 0.420850 | + | 0.242978i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.76356i | 0.273037i | ||||||||
\(191\) | 0.978510i | 0.0708025i | 0.999373 | + | 0.0354012i | \(0.0112709\pi\) | ||||
−0.999373 | + | 0.0354012i | \(0.988729\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.11260i | 0.368013i | 0.982925 | + | 0.184006i | \(0.0589067\pi\) | ||||
−0.982925 | + | 0.184006i | \(0.941093\pi\) | |||||||
\(194\) | −7.87790 | − | 13.6449i | −0.565600 | − | 0.979648i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.164967 | − | 6.99806i | −0.0117834 | − | 0.499861i | ||||
\(197\) | 9.72108 | + | 16.8374i | 0.692598 | + | 1.19962i | 0.970984 | + | 0.239146i | \(0.0768673\pi\) |
−0.278386 | + | 0.960469i | \(0.589799\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.8671 | − | 9.73825i | 1.19568 | − | 0.690326i | 0.236091 | − | 0.971731i | \(-0.424134\pi\) |
0.959589 | + | 0.281405i | \(0.0908005\pi\) | |||||||
\(200\) | −4.29155 | + | 7.43318i | −0.303458 | + | 0.525605i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.38278 | + | 7.59120i | −0.308371 | + | 0.534115i | ||||
\(203\) | 5.45327 | − | 1.53030i | 0.382745 | − | 0.107406i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.0126 | + | 24.2706i | −0.978684 | + | 1.69513i | ||||
\(206\) | − | 3.14257i | − | 0.218954i | ||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0598406 | + | 3.60505i | 0.00414920 | + | 0.249966i | ||||
\(209\) | 0.368285 | 0.0254748 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.41205 | + | 5.90984i | 0.234895 | + | 0.406850i | 0.959242 | − | 0.282585i | \(-0.0911920\pi\) |
−0.724347 | + | 0.689435i | \(0.757859\pi\) | |||||||
\(212\) | 2.22195i | 0.152604i | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −16.0555 | + | 9.26964i | −1.09753 | + | 0.633660i | ||||
\(215\) | − | 6.37734i | − | 0.434931i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.68009 | + | 3.76787i | −0.249821 | + | 0.255780i | ||||
\(218\) | 6.81950 | − | 3.93724i | 0.461874 | − | 0.266663i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.15110 | + | 0.664591i | 0.0776075 | + | 0.0448067i | ||||
\(221\) | 22.8516 | + | 12.6924i | 1.53717 | + | 0.853786i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.2672 | + | 24.7115i | 0.955403 | + | 1.65481i | 0.733443 | + | 0.679751i | \(0.237912\pi\) |
0.221960 | + | 0.975056i | \(0.428755\pi\) | |||||||
\(224\) | 0.714839 | + | 2.54735i | 0.0477622 | + | 0.170202i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.239792 | − | 0.138444i | 0.0159507 | − | 0.00920916i | ||||
\(227\) | −4.48708 | + | 2.59062i | −0.297818 | + | 0.171945i | −0.641462 | − | 0.767155i | \(-0.721672\pi\) |
0.343644 | + | 0.939100i | \(0.388339\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.39140 | − | 7.60612i | −0.290192 | − | 0.502627i | 0.683663 | − | 0.729798i | \(-0.260386\pi\) |
−0.973855 | + | 0.227171i | \(0.927052\pi\) | |||||||
\(230\) | 4.60407 | − | 7.97448i | 0.303583 | − | 0.525821i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.85395 | + | 1.07038i | −0.121718 | + | 0.0702739i | ||||
\(233\) | 2.45840 | − | 1.41936i | 0.161055 | − | 0.0929852i | −0.417306 | − | 0.908766i | \(-0.637026\pi\) |
0.578361 | + | 0.815781i | \(0.303692\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.2785 | + | 21.2670i | −0.800961 | + | 1.38731i | ||||
\(236\) | 8.42022 | + | 4.86142i | 0.548110 | + | 0.316451i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 18.5851 | + | 4.74585i | 1.20469 | + | 0.307628i | ||||
\(239\) | −19.9601 | −1.29111 | −0.645555 | − | 0.763714i | \(-0.723374\pi\) | ||||
−0.645555 | + | 0.763714i | \(0.723374\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.35228 | − | 2.34221i | −0.0871079 | − | 0.150875i | 0.819180 | − | 0.573537i | \(-0.194429\pi\) |
−0.906287 | + | 0.422662i | \(0.861096\pi\) | |||||||
\(242\) | −5.43497 | + | 9.41364i | −0.349373 | + | 0.605132i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.97594 | − | 1.14081i | 0.126497 | − | 0.0730330i | ||||
\(245\) | 25.7915 | − | 0.607991i | 1.64776 | − | 0.0388431i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.15762 | + | 1.89361i | −0.200915 | + | 0.120488i | ||||
\(248\) | 0.995345 | − | 1.72399i | 0.0632045 | − | 0.109473i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.4364 | − | 6.60279i | −0.723300 | − | 0.417597i | ||||
\(251\) | −15.2289 | + | 26.3773i | −0.961242 | + | 1.66492i | −0.241853 | + | 0.970313i | \(0.577755\pi\) |
−0.719389 | + | 0.694607i | \(0.755578\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.780347 | − | 0.450533i | −0.0490600 | − | 0.0283248i | ||||
\(254\) | −10.3757 | −0.651031 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 7.66047 | − | 13.2683i | 0.477847 | − | 0.827655i | −0.521830 | − | 0.853049i | \(-0.674751\pi\) |
0.999678 | + | 0.0253938i | \(0.00808396\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −12.1403 | − | 11.8575i | −0.754361 | − | 0.736787i | ||||
\(260\) | −13.2865 | + | 0.220544i | −0.823995 | + | 0.0136776i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.29406 | −0.512409 | ||||||||
\(263\) | 8.82779i | 0.544345i | 0.962248 | + | 0.272172i | \(0.0877421\pi\) | ||||
−0.962248 | + | 0.272172i | \(0.912258\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.18907 | −0.503051 | ||||||||
\(266\) | −1.88779 | + | 1.93282i | −0.115748 | + | 0.118509i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.74737 | − | 5.62764i | 0.595415 | − | 0.343763i | ||||
\(269\) | −6.95223 | − | 12.0416i | −0.423885 | − | 0.734190i | 0.572431 | − | 0.819953i | \(-0.306001\pi\) |
−0.996316 | + | 0.0857629i | \(0.972667\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.75333 | + | 13.4292i | −0.470981 | + | 0.815764i | −0.999449 | − | 0.0331898i | \(-0.989433\pi\) |
0.528468 | + | 0.848953i | \(0.322767\pi\) | |||||||
\(272\) | −7.24991 | −0.439590 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.19249 | −0.0720407 | ||||||||
\(275\) | −1.54774 | + | 2.68077i | −0.0933324 | + | 0.161656i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.95010 | + | 5.10972i | 0.177254 | + | 0.307014i | 0.940939 | − | 0.338576i | \(-0.109945\pi\) |
−0.763685 | + | 0.645589i | \(0.776612\pi\) | |||||||
\(278\) | −16.8421 | + | 9.72381i | −1.01012 | + | 0.583196i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −9.38833 | + | 2.63456i | −0.561060 | + | 0.157445i | ||||
\(281\) | 8.92253 | 0.532273 | 0.266137 | − | 0.963935i | \(-0.414253\pi\) | ||||
0.266137 | + | 0.963935i | \(0.414253\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 22.9871i | 1.36644i | 0.730213 | + | 0.683220i | \(0.239421\pi\) | ||||
−0.730213 | + | 0.683220i | \(0.760579\pi\) | |||||||
\(284\) | −5.00164 | −0.296793 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0215815 | + | 1.30016i | 0.00127614 | + | 0.0768800i | ||||
\(287\) | −19.3704 | + | 5.43573i | −1.14340 | + | 0.320861i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −17.7806 | + | 30.7969i | −1.04592 | + | 1.81158i | ||||
\(290\) | −3.94491 | − | 6.83279i | −0.231653 | − | 0.401235i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −15.3087 | −0.895874 | ||||||||
\(293\) | 3.49834 | + | 2.01977i | 0.204375 | + | 0.117996i | 0.598695 | − | 0.800977i | \(-0.295686\pi\) |
−0.394319 | + | 0.918973i | \(0.629020\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.9169 | + | 31.0329i | −1.04316 | + | 1.80681i | ||||
\(296\) | 5.55479 | + | 3.20706i | 0.322865 | + | 0.186406i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.86719 | + | 6.69817i | −0.224020 | + | 0.388014i | ||||
\(299\) | 9.00708 | − | 0.149509i | 0.520893 | − | 0.00864634i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.19886 | − | 3.27516i | 0.184379 | − | 0.188777i | ||||
\(302\) | −12.8722 | + | 7.43180i | −0.740715 | + | 0.427652i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.510587 | − | 0.884362i | 0.0292842 | − | 0.0507216i | ||||
\(305\) | 4.20449 | + | 7.28239i | 0.240748 | + | 0.416989i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.12167 | 0.406455 | 0.203228 | − | 0.979132i | \(-0.434857\pi\) | ||||
0.203228 | + | 0.979132i | \(0.434857\pi\) | |||||||
\(308\) | 0.257806 | + | 0.918700i | 0.0146899 | + | 0.0523478i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.35380 | + | 3.66837i | 0.360872 | + | 0.208349i | ||||
\(311\) | 13.0682 | − | 22.6348i | 0.741030 | − | 1.28350i | −0.210996 | − | 0.977487i | \(-0.567671\pi\) |
0.952027 | − | 0.306015i | \(-0.0989958\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.3391 | − | 12.8975i | 1.26268 | − | 0.729009i | 0.289089 | − | 0.957302i | \(-0.406648\pi\) |
0.973592 | + | 0.228293i | \(0.0733145\pi\) | |||||||
\(314\) | 3.75405 | − | 2.16740i | 0.211853 | − | 0.122313i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.58586 | + | 7.94294i | −0.257975 | + | 0.446825i | ||||
\(317\) | 4.44620 | + | 7.70104i | 0.249723 | + | 0.432533i | 0.963449 | − | 0.267892i | \(-0.0863270\pi\) |
−0.713726 | + | 0.700425i | \(0.752994\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.668626 | + | 0.386032i | −0.0374359 | + | 0.0216136i | ||||
\(320\) | 3.19176 | − | 1.84276i | 0.178425 | − | 0.103014i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.36446 | − | 1.78600i | 0.354677 | − | 0.0995297i | ||||
\(323\) | −3.70171 | − | 6.41154i | −0.205968 | − | 0.356748i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.513617 | − | 30.9425i | −0.0284904 | − | 1.71638i | ||||
\(326\) | 6.06533 | + | 3.50182i | 0.335928 | + | 0.193948i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.58538 | − | 3.80207i | 0.363617 | − | 0.209934i | ||||
\(329\) | −16.9732 | + | 4.76304i | −0.935766 | + | 0.262595i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.56960i | 0.471028i | 0.971871 | + | 0.235514i | \(0.0756773\pi\) | ||||
−0.971871 | + | 0.235514i | \(0.924323\pi\) | |||||||
\(332\) | 9.61290 | − | 5.55001i | 0.527577 | − | 0.304596i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | − | 18.9879i | − | 1.03897i | ||||||
\(335\) | 20.7408 | + | 35.9242i | 1.13319 | + | 1.96275i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.9192 | −0.812699 | −0.406350 | − | 0.913718i | \(-0.633198\pi\) | ||||
−0.406350 | + | 0.913718i | \(0.633198\pi\) | |||||||
\(338\) | −6.87007 | − | 11.0364i | −0.373683 | − | 0.600301i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 26.7197i | − | 1.44908i | ||||||
\(341\) | 0.358970 | − | 0.621755i | 0.0194393 | − | 0.0336699i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.5505 | + | 12.6247i | 0.731658 | + | 0.681671i | ||||
\(344\) | −0.865187 | + | 1.49855i | −0.0466477 | + | 0.0807963i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.06312 | − | 15.6978i | 0.487236 | − | 0.843918i | ||||
\(347\) | −26.3328 | + | 15.2032i | −1.41362 | + | 0.816153i | −0.995727 | − | 0.0923444i | \(-0.970564\pi\) |
−0.417891 | + | 0.908497i | \(0.637231\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.00120 | − | 5.19823i | −0.160651 | − | 0.278255i | 0.774452 | − | 0.632633i | \(-0.218026\pi\) |
−0.935102 | + | 0.354378i | \(0.884693\pi\) | |||||||
\(350\) | −6.13553 | − | 21.8642i | −0.327958 | − | 1.16869i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.180325 | − | 0.312331i | −0.00961133 | − | 0.0166473i | ||||
\(353\) | 20.2197i | 1.07618i | 0.842886 | + | 0.538092i | \(0.180855\pi\) | ||||
−0.842886 | + | 0.538092i | \(0.819145\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 18.4337i | − | 0.978357i | ||||||
\(356\) | 14.6356i | 0.775683i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10.3413 | + | 5.97054i | 0.546554 | + | 0.315553i | ||||
\(359\) | 14.8473 | + | 25.7163i | 0.783610 | + | 1.35725i | 0.929826 | + | 0.368000i | \(0.119957\pi\) |
−0.146216 | + | 0.989253i | \(0.546709\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.9572 | −0.945116 | ||||||||
\(362\) | 6.00058 | + | 3.46444i | 0.315384 | + | 0.182087i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.93407 | − | 6.55123i | −0.363444 | − | 0.343378i | ||||
\(365\) | − | 56.4206i | − | 2.95319i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 30.7688i | − | 1.60612i | −0.595900 | − | 0.803058i | \(-0.703205\pi\) | ||
0.595900 | − | 0.803058i | \(-0.296795\pi\) | |||||||
\(368\) | −2.16373 | + | 1.24923i | −0.112792 | + | 0.0651206i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −11.8197 | + | 20.4723i | −0.614477 | + | 1.06430i | ||||
\(371\) | −4.20559 | − | 4.10762i | −0.218344 | − | 0.213257i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.5145 | 0.596196 | 0.298098 | − | 0.954535i | \(-0.403648\pi\) | ||||
0.298098 | + | 0.954535i | \(0.403648\pi\) | |||||||
\(374\) | −2.61467 | −0.135202 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.77041 | − | 3.33155i | 0.297586 | − | 0.171811i | ||||
\(377\) | 3.74784 | − | 6.74765i | 0.193023 | − | 0.347522i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.28888 | + | 0.744135i | −0.0662053 | + | 0.0382236i | −0.532737 | − | 0.846281i | \(-0.678837\pi\) |
0.466532 | + | 0.884504i | \(0.345503\pi\) | |||||||
\(380\) | 3.25934 | + | 1.88178i | 0.167201 | + | 0.0965333i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.847414 | + | 0.489255i | 0.0433575 | + | 0.0250325i | ||||
\(383\) | 23.9889i | 1.22578i | 0.790169 | + | 0.612889i | \(0.209993\pi\) | ||||
−0.790169 | + | 0.612889i | \(0.790007\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.38589 | + | 0.950150i | −0.172561 | + | 0.0484242i | ||||
\(386\) | 4.42764 | + | 2.55630i | 0.225361 | + | 0.130112i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −15.7558 | −0.799880 | ||||||||
\(389\) | 18.6504 | + | 10.7678i | 0.945615 | + | 0.545951i | 0.891716 | − | 0.452596i | \(-0.149502\pi\) |
0.0538987 | + | 0.998546i | \(0.482835\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.1136i | 0.916044i | ||||||||
\(392\) | −6.14298 | − | 3.35616i | −0.310267 | − | 0.169512i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 19.4422 | 0.979482 | ||||||||
\(395\) | −29.2739 | − | 16.9013i | −1.47293 | − | 0.850396i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.58264 | −0.179807 | −0.0899037 | − | 0.995950i | \(-0.528656\pi\) | ||||
−0.0899037 | + | 0.995950i | \(0.528656\pi\) | |||||||
\(398\) | − | 19.4765i | − | 0.976268i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.29155 | + | 7.43318i | 0.214577 | + | 0.371659i | ||||
\(401\) | −17.9224 | + | 31.0425i | −0.895002 | + | 1.55019i | −0.0611994 | + | 0.998126i | \(0.519493\pi\) |
−0.833802 | + | 0.552063i | \(0.813841\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.119124 | + | 7.17655i | 0.00593399 | + | 0.357489i | ||||
\(404\) | 4.38278 | + | 7.59120i | 0.218051 | + | 0.377676i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.40136 | − | 5.48782i | 0.0695482 | − | 0.272356i | ||||
\(407\) | 2.00333 | + | 1.15662i | 0.0993013 | + | 0.0573316i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.1675 | − | 29.7349i | −0.848877 | − | 1.47030i | −0.882212 | − | 0.470853i | \(-0.843946\pi\) |
0.0333351 | − | 0.999444i | \(-0.489387\pi\) | |||||||
\(410\) | 14.0126 | + | 24.2706i | 0.692034 | + | 1.19864i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.72155 | − | 1.57129i | −0.134081 | − | 0.0774118i | ||||
\(413\) | −24.7675 | + | 6.95026i | −1.21873 | + | 0.342000i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.4547 | + | 35.4286i | 1.00408 | + | 1.73912i | ||||
\(416\) | 3.15199 | + | 1.75070i | 0.154539 | + | 0.0858353i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.184143 | − | 0.318944i | 0.00900671 | − | 0.0156001i | ||||
\(419\) | 10.4886 | + | 18.1668i | 0.512401 | + | 0.887504i | 0.999897 | + | 0.0143791i | \(0.00457716\pi\) |
−0.487496 | + | 0.873125i | \(0.662090\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 1.22524i | − | 0.0597146i | −0.999554 | − | 0.0298573i | \(-0.990495\pi\) | ||
0.999554 | − | 0.0298573i | \(-0.00950528\pi\) | |||||||
\(422\) | 6.82409 | 0.332192 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.92427 | + | 1.11098i | 0.0934508 | + | 0.0539538i | ||||
\(425\) | 62.2267 | 3.01844 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.49357 | + | 5.84892i | −0.0722788 | + | 0.283049i | ||||
\(428\) | 18.5393i | 0.896130i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −5.52293 | − | 3.18867i | −0.266340 | − | 0.153771i | ||||
\(431\) | −5.89033 | −0.283727 | −0.141864 | − | 0.989886i | \(-0.545309\pi\) | ||||
−0.141864 | + | 0.989886i | \(0.545309\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −34.0327 | − | 19.6488i | −1.63551 | − | 0.944259i | −0.982354 | − | 0.187032i | \(-0.940113\pi\) |
−0.653151 | − | 0.757227i | \(-0.726553\pi\) | |||||||
\(434\) | 1.42302 | + | 5.07099i | 0.0683073 | + | 0.243415i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | − | 7.87447i | − | 0.377119i | ||||||
\(437\) | −2.20954 | − | 1.27568i | −0.105697 | − | 0.0610240i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.9305 | + | 8.62010i | 0.712592 | + | 0.411415i | 0.812020 | − | 0.583630i | \(-0.198368\pi\) |
−0.0994281 | + | 0.995045i | \(0.531701\pi\) | |||||||
\(440\) | 1.15110 | − | 0.664591i | 0.0548768 | − | 0.0316831i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 22.4178 | − | 13.4439i | 1.06631 | − | 0.639460i | ||||
\(443\) | −0.543112 | + | 0.313566i | −0.0258040 | + | 0.0148980i | −0.512847 | − | 0.858480i | \(-0.671409\pi\) |
0.487042 | + | 0.873378i | \(0.338076\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −53.9397 | −2.55699 | ||||||||
\(446\) | 28.5344 | 1.35114 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.56349 | + | 0.654608i | 0.121114 | + | 0.0309273i | ||||
\(449\) | 13.0921 | − | 22.6762i | 0.617855 | − | 1.07016i | −0.372022 | − | 0.928224i | \(-0.621335\pi\) |
0.989876 | − | 0.141932i | \(-0.0453313\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.37501 | − | 1.37121i | 0.111835 | − | 0.0645679i | ||||
\(452\) | − | 0.276888i | − | 0.0130237i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.18123i | 0.243167i | ||||||||
\(455\) | 24.1447 | − | 25.5557i | 1.13192 | − | 1.19807i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −20.6258 | − | 11.9083i | −0.964835 | − | 0.557047i | −0.0671769 | − | 0.997741i | \(-0.521399\pi\) |
−0.897658 | + | 0.440694i | \(0.854733\pi\) | |||||||
\(458\) | −8.78280 | −0.410393 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.60407 | − | 7.97448i | −0.214666 | − | 0.371812i | ||||
\(461\) | 15.9116 | + | 9.18657i | 0.741077 | + | 0.427861i | 0.822461 | − | 0.568822i | \(-0.192601\pi\) |
−0.0813835 | + | 0.996683i | \(0.525934\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.3462i | 0.527304i | 0.964618 | + | 0.263652i | \(0.0849271\pi\) | ||||
−0.964618 | + | 0.263652i | \(0.915073\pi\) | |||||||
\(464\) | 2.14076i | 0.0993823i | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | − | 2.83871i | − | 0.131501i | ||||||
\(467\) | 1.12837 | + | 1.95440i | 0.0522149 | + | 0.0904388i | 0.890951 | − | 0.454099i | \(-0.150039\pi\) |
−0.838737 | + | 0.544537i | \(0.816705\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.36780 | + | 28.8528i | −0.340213 | + | 1.33230i | ||||
\(470\) | 12.2785 | + | 21.2670i | 0.566365 | + | 0.980973i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.42022 | − | 4.86142i | 0.387572 | − | 0.223765i | ||||
\(473\) | −0.312029 | + | 0.540450i | −0.0143471 | + | 0.0248499i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.38241 | + | 7.59056i | −0.201079 | + | 0.348279i | ||||
\(476\) | 13.4026 | − | 13.7222i | 0.614306 | − | 0.628957i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −9.98004 | + | 17.2859i | −0.456476 | + | 0.790640i | ||||
\(479\) | 12.4328i | 0.568068i | 0.958814 | + | 0.284034i | \(0.0916728\pi\) | ||||
−0.958814 | + | 0.284034i | \(0.908327\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −23.1232 | + | 0.383824i | −1.05433 | + | 0.0175009i | ||||
\(482\) | −2.70456 | −0.123189 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.43497 | + | 9.41364i | 0.247044 | + | 0.427893i | ||||
\(485\) | − | 58.0684i | − | 2.63675i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.9880 | − | 10.9627i | 0.860430 | − | 0.496769i | −0.00372628 | − | 0.999993i | \(-0.501186\pi\) |
0.864156 | + | 0.503224i | \(0.167853\pi\) | |||||||
\(488\) | − | 2.28162i | − | 0.103284i | ||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 12.3692 | − | 22.6401i | 0.558784 | − | 1.02278i | ||||
\(491\) | 36.6150 | − | 21.1397i | 1.65241 | − | 0.954022i | 0.676338 | − | 0.736592i | \(-0.263566\pi\) |
0.976076 | − | 0.217430i | \(-0.0697674\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.4410 | + | 7.76016i | 0.605352 | + | 0.349500i | ||||
\(494\) | 0.0611076 | + | 3.68139i | 0.00274936 | + | 0.165633i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.995345 | − | 1.72399i | −0.0446923 | − | 0.0774093i | ||||
\(497\) | 9.24629 | − | 9.46682i | 0.414753 | − | 0.424645i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 34.5433 | − | 19.9436i | 1.54637 | − | 0.892797i | 0.547955 | − | 0.836508i | \(-0.315407\pi\) |
0.998415 | − | 0.0562886i | \(-0.0179267\pi\) | |||||||
\(500\) | −11.4364 | + | 6.60279i | −0.511450 | + | 0.295286i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.2289 | + | 26.3773i | 0.679701 | + | 1.17728i | ||||
\(503\) | 4.78495 | − | 8.28777i | 0.213350 | − | 0.369534i | −0.739411 | − | 0.673255i | \(-0.764896\pi\) |
0.952761 | + | 0.303721i | \(0.0982291\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −27.9775 | + | 16.1528i | −1.24498 | + | 0.718792i | ||||
\(506\) | −0.780347 | + | 0.450533i | −0.0346906 | + | 0.0200287i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.18786 | + | 8.98564i | −0.230174 | + | 0.398673i | ||||
\(509\) | 32.5760 | + | 18.8078i | 1.44391 | + | 0.833639i | 0.998107 | − | 0.0614940i | \(-0.0195865\pi\) |
0.445798 | + | 0.895133i | \(0.352920\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 28.3005 | − | 28.9755i | 1.25194 | − | 1.28180i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −7.66047 | − | 13.2683i | −0.337889 | − | 0.585241i | ||||
\(515\) | 5.79102 | − | 10.0303i | 0.255183 | − | 0.441989i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.08109 | − | 1.20152i | 0.0915263 | − | 0.0528428i | ||||
\(518\) | −16.3390 | + | 4.58506i | −0.717895 | + | 0.201456i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6.45226 | + | 11.6167i | −0.282950 | + | 0.509428i | ||||
\(521\) | 12.7987 | − | 22.1681i | 0.560723 | − | 0.971201i | −0.436710 | − | 0.899602i | \(-0.643856\pi\) |
0.997433 | − | 0.0715991i | \(-0.0228102\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −13.5507 | − | 7.82348i | −0.592529 | − | 0.342097i | 0.173568 | − | 0.984822i | \(-0.444470\pi\) |
−0.766097 | + | 0.642725i | \(0.777804\pi\) | |||||||
\(524\) | −4.14703 | + | 7.18287i | −0.181164 | + | 0.313785i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.64509 | + | 4.41390i | 0.333342 | + | 0.192455i | ||||
\(527\) | −14.4323 | −0.628682 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.37885 | − | 14.5126i | −0.364298 | − | 0.630982i | ||||
\(530\) | −4.09453 | + | 7.09194i | −0.177855 | + | 0.308054i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.729974 | + | 2.60129i | 0.0316484 | + | 0.112780i | ||||
\(533\) | −13.3126 | + | 23.9682i | −0.576632 | + | 1.03818i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −68.3270 | −2.95403 | ||||||||
\(536\) | − | 11.2553i | − | 0.486154i | ||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −13.9045 | −0.599464 | ||||||||
\(539\) | −2.21546 | − | 1.21040i | −0.0954266 | − | 0.0521355i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.52509 | − | 2.61256i | 0.194549 | − | 0.112323i | −0.399562 | − | 0.916706i | \(-0.630838\pi\) |
0.594110 | + | 0.804384i | \(0.297504\pi\) | |||||||
\(542\) | 7.75333 | + | 13.4292i | 0.333034 | + | 0.576832i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.62495 | + | 6.27861i | −0.155419 | + | 0.269193i | ||||
\(545\) | 29.0216 | 1.24315 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.9755 | 0.683065 | 0.341532 | − | 0.939870i | \(-0.389054\pi\) | ||||
0.341532 | + | 0.939870i | \(0.389054\pi\) | |||||||
\(548\) | −0.596243 | + | 1.03272i | −0.0254702 | + | 0.0441157i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.54774 | + | 2.68077i | 0.0659960 | + | 0.114308i | ||||
\(551\) | −1.89321 | + | 1.09304i | −0.0806533 | + | 0.0465652i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.55630 | − | 23.3636i | −0.278802 | − | 0.993521i | ||||
\(554\) | 5.90020 | 0.250675 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 19.4476i | 0.824763i | ||||||||
\(557\) | −14.7387 | −0.624497 | −0.312249 | − | 0.950000i | \(-0.601082\pi\) | ||||
−0.312249 | + | 0.950000i | \(0.601082\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.103547 | − | 6.23809i | −0.00437955 | − | 0.263843i | ||||
\(560\) | −2.41257 | + | 9.44781i | −0.101950 | + | 0.399243i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.46126 | − | 7.72714i | 0.188187 | − | 0.325950i | ||||
\(563\) | −20.7151 | − | 35.8796i | −0.873037 | − | 1.51215i | −0.858839 | − | 0.512246i | \(-0.828814\pi\) |
−0.0141988 | − | 0.999899i | \(-0.504520\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.02048 | 0.0429318 | ||||||||
\(566\) | 19.9074 | + | 11.4935i | 0.836770 | + | 0.483109i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.50082 | + | 4.33155i | −0.104932 | + | 0.181748i | ||||
\(569\) | 21.6943 | + | 12.5252i | 0.909474 | + | 0.525085i | 0.880262 | − | 0.474488i | \(-0.157367\pi\) |
0.0292120 | + | 0.999573i | \(0.490700\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.98475 | + | 10.3659i | −0.250454 | + | 0.433799i | −0.963651 | − | 0.267165i | \(-0.913913\pi\) |
0.713197 | + | 0.700964i | \(0.247247\pi\) | |||||||
\(572\) | 1.13676 | + | 0.631390i | 0.0475304 | + | 0.0263997i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.97773 | + | 19.4931i | −0.207766 | + | 0.813628i | ||||
\(575\) | 18.5715 | − | 10.7223i | 0.774485 | − | 0.447149i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.5762 | − | 37.3711i | 0.898230 | − | 1.55578i | 0.0684756 | − | 0.997653i | \(-0.478186\pi\) |
0.829755 | − | 0.558128i | \(-0.188480\pi\) | |||||||
\(578\) | 17.7806 | + | 30.7969i | 0.739575 | + | 1.28098i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.88983 | −0.327607 | ||||||||
\(581\) | −7.26616 | + | 28.4548i | −0.301451 | + | 1.18050i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.693986 | + | 0.400673i | 0.0287420 | + | 0.0165942i | ||||
\(584\) | −7.65435 | + | 13.2577i | −0.316739 | + | 0.548609i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.49834 | − | 2.01977i | 0.144515 | − | 0.0834358i | ||||
\(587\) | −16.7194 | + | 9.65298i | −0.690085 | + | 0.398421i | −0.803644 | − | 0.595110i | \(-0.797108\pi\) |
0.113559 | + | 0.993531i | \(0.463775\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.01642 | − | 1.76049i | 0.0418808 | − | 0.0725397i | ||||
\(590\) | 17.9169 | + | 31.0329i | 0.737626 | + | 1.27761i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.55479 | − | 3.20706i | 0.228300 | − | 0.131809i | ||||
\(593\) | −26.6966 | + | 15.4133i | −1.09630 | + | 0.632947i | −0.935246 | − | 0.353999i | \(-0.884822\pi\) |
−0.161051 | + | 0.986946i | \(0.551488\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 50.5736 | + | 49.3955i | 2.07332 | + | 2.02502i | ||||
\(596\) | 3.86719 | + | 6.69817i | 0.158406 | + | 0.274368i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.37406 | − | 7.87512i | 0.178869 | − | 0.322037i | ||||
\(599\) | −34.6710 | − | 20.0173i | −1.41662 | − | 0.817884i | −0.420617 | − | 0.907238i | \(-0.638186\pi\) |
−0.996000 | + | 0.0893540i | \(0.971520\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.8183 | − | 11.4421i | 0.808407 | − | 0.466734i | −0.0379955 | − | 0.999278i | \(-0.512097\pi\) |
0.846402 | + | 0.532544i | \(0.178764\pi\) | |||||||
\(602\) | −1.23694 | − | 4.40787i | −0.0504139 | − | 0.179651i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 14.8636i | 0.604791i | ||||||||
\(605\) | −34.6942 | + | 20.0307i | −1.41052 | + | 0.814364i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 15.8910i | − | 0.644997i | −0.946570 | − | 0.322498i | \(-0.895477\pi\) | ||
0.946570 | − | 0.322498i | \(-0.104523\pi\) | |||||||
\(608\) | −0.510587 | − | 0.884362i | −0.0207070 | − | 0.0358656i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.40898 | 0.340470 | ||||||||
\(611\) | −11.6651 | + | 21.0020i | −0.471920 | + | 0.849650i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 29.4647i | 1.19007i | 0.803701 | + | 0.595034i | \(0.202861\pi\) | ||||
−0.803701 | + | 0.595034i | \(0.797139\pi\) | |||||||
\(614\) | 3.56084 | − | 6.16755i | 0.143704 | − | 0.248902i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.924521 | + | 0.236084i | 0.0372500 | + | 0.00951208i | ||||
\(617\) | 3.71810 | − | 6.43994i | 0.149685 | − | 0.259262i | −0.781426 | − | 0.623998i | \(-0.785507\pi\) |
0.931111 | + | 0.364736i | \(0.118841\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.8172 | + | 22.2000i | −0.515167 | + | 0.892295i | 0.484678 | + | 0.874692i | \(0.338937\pi\) |
−0.999845 | + | 0.0176024i | \(0.994397\pi\) | |||||||
\(620\) | 6.35380 | − | 3.66837i | 0.255175 | − | 0.147325i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −13.0682 | − | 22.6348i | −0.523987 | − | 0.907573i | ||||
\(623\) | −27.7014 | − | 27.0561i | −1.10983 | − | 1.08398i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.87702 | − | 4.98314i | −0.115081 | − | 0.199326i | ||||
\(626\) | − | 25.7950i | − | 1.03097i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 4.33480i | − | 0.172977i | ||||||
\(629\) | − | 46.5018i | − | 1.85415i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.3328 | + | 16.3579i | 1.12791 | + | 0.651199i | 0.943408 | − | 0.331633i | \(-0.107600\pi\) |
0.184501 | + | 0.982832i | \(0.440933\pi\) | |||||||
\(632\) | 4.58586 | + | 7.94294i | 0.182416 | + | 0.315953i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.89239 | 0.353162 | ||||||||
\(635\) | −33.1168 | − | 19.1200i | −1.31420 | − | 0.758754i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 25.2185 | − | 1.01348i | 0.999193 | − | 0.0401557i | ||||
\(638\) | 0.772063i | 0.0305663i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | − | 3.68552i | − | 0.145683i | ||||||
\(641\) | 13.5226 | − | 7.80726i | 0.534110 | − | 0.308368i | −0.208579 | − | 0.978006i | \(-0.566884\pi\) |
0.742688 | + | 0.669637i | \(0.233550\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.1247 | − | 29.6609i | 0.675333 | − | 1.16971i | −0.301038 | − | 0.953612i | \(-0.597333\pi\) |
0.976371 | − | 0.216099i | \(-0.0693335\pi\) | |||||||
\(644\) | 1.63551 | − | 6.40478i | 0.0644481 | − | 0.252384i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.40341 | −0.291283 | ||||||||
\(647\) | 8.83242 | 0.347238 | 0.173619 | − | 0.984813i | \(-0.444454\pi\) | ||||
0.173619 | + | 0.984813i | \(0.444454\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.03674 | − | 1.75326i | 0.119203 | − | 0.0688217i | ||||
\(650\) | −27.0538 | − | 15.0265i | −1.06114 | − | 0.589386i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.06533 | − | 3.50182i | 0.237537 | − | 0.137142i | ||||
\(653\) | 10.8809 | + | 6.28208i | 0.425802 | + | 0.245837i | 0.697557 | − | 0.716530i | \(-0.254271\pi\) |
−0.271755 | + | 0.962367i | \(0.587604\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −26.4726 | − | 15.2840i | −1.03437 | − | 0.597195i | ||||
\(656\) | − | 7.60414i | − | 0.296892i | ||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.36171 | + | 17.0808i | −0.170037 | + | 0.665878i | ||||
\(659\) | 14.1612 | + | 8.17598i | 0.551643 | + | 0.318491i | 0.749784 | − | 0.661682i | \(-0.230157\pi\) |
−0.198142 | + | 0.980173i | \(0.563491\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.0677 | 0.508274 | 0.254137 | − | 0.967168i | \(-0.418209\pi\) | ||||
0.254137 | + | 0.967168i | \(0.418209\pi\) | |||||||
\(662\) | 7.42149 | + | 4.28480i | 0.288445 | + | 0.166534i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 11.1000i | − | 0.430764i | ||||||
\(665\) | −9.58711 | + | 2.69034i | −0.371772 | + | 0.104327i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.34860 | 0.207099 | ||||||||
\(668\) | −16.4440 | − | 9.49393i | −0.636236 | − | 0.367331i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 41.4817 | 1.60258 | ||||||||
\(671\) | − | 0.822866i | − | 0.0317664i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.74139 | + | 6.48028i | 0.144220 | + | 0.249796i | 0.929082 | − | 0.369875i | \(-0.120599\pi\) |
−0.784862 | + | 0.619671i | \(0.787266\pi\) | |||||||
\(674\) | −7.45959 | + | 12.9204i | −0.287333 | + | 0.497674i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.9928 | + | 0.431457i | −0.499725 | + | 0.0165945i | ||||
\(677\) | −10.4566 | − | 18.1114i | −0.401880 | − | 0.696077i | 0.592073 | − | 0.805885i | \(-0.298310\pi\) |
−0.993953 | + | 0.109808i | \(0.964976\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 29.1270 | − | 29.8217i | 1.11779 | − | 1.14445i | ||||
\(680\) | −23.1400 | − | 13.3599i | −0.887377 | − | 0.512327i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.358970 | − | 0.621755i | −0.0137457 | − | 0.0238082i | ||||
\(683\) | 12.8107 | + | 22.1887i | 0.490186 | + | 0.849027i | 0.999936 | − | 0.0112954i | \(-0.00359551\pi\) |
−0.509750 | + | 0.860322i | \(0.670262\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.80612 | − | 2.19747i | −0.145425 | − | 0.0839609i | ||||
\(686\) | 17.7086 | − | 5.42271i | 0.676117 | − | 0.207040i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.865187 | + | 1.49855i | 0.0329849 | + | 0.0571316i | ||||
\(689\) | −8.01027 | + | 0.132963i | −0.305167 | + | 0.00506549i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.4560 | + | 18.1103i | −0.397764 | + | 0.688947i | −0.993450 | − | 0.114270i | \(-0.963547\pi\) |
0.595686 | + | 0.803217i | \(0.296880\pi\) | |||||||
\(692\) | −9.06312 | − | 15.6978i | −0.344528 | − | 0.596740i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 30.4065i | 1.15421i | ||||||||
\(695\) | −71.6747 | −2.71878 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −47.7434 | − | 27.5647i | −1.80841 | − | 1.04409i | ||||
\(698\) | −6.00240 | −0.227194 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −22.0027 | − | 5.61856i | −0.831624 | − | 0.212362i | ||||
\(701\) | − | 35.9194i | − | 1.35666i | −0.734759 | − | 0.678328i | \(-0.762705\pi\) | ||
0.734759 | − | 0.678328i | \(-0.237295\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.67240 | + | 3.27496i | 0.213939 | + | 0.123518i | ||||
\(704\) | −0.360649 | −0.0135925 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 17.5107 | + | 10.1098i | 0.659025 | + | 0.380488i | ||||
\(707\) | −22.4704 | − | 5.73800i | −0.845088 | − | 0.215800i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 43.6381i | 1.63886i | 0.573178 | + | 0.819431i | \(0.305710\pi\) | ||||
−0.573178 | + | 0.819431i | \(0.694290\pi\) | |||||||
\(710\) | −15.9640 | − | 9.21683i | −0.599119 | − | 0.345901i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.6748 | + | 7.31778i | 0.475007 | + | 0.274245i | ||||
\(713\) | −4.30731 | + | 2.48683i | −0.161310 | + | 0.0931325i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.32700 | + | 4.18956i | −0.0870250 | + | 0.156681i | ||||
\(716\) | 10.3413 | − | 5.97054i | 0.386472 | − | 0.223130i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 29.6946 | 1.10819 | ||||||||
\(719\) | −29.2896 | −1.09232 | −0.546160 | − | 0.837681i | \(-0.683911\pi\) | ||||
−0.546160 | + | 0.837681i | \(0.683911\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.00524 | − | 2.24643i | 0.298131 | − | 0.0836616i | ||||
\(722\) | −8.97860 | + | 15.5514i | −0.334149 | + | 0.578763i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.00058 | − | 3.46444i | 0.223010 | − | 0.128755i | ||||
\(725\) | − | 18.3743i | − | 0.682406i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 48.0240i | − | 1.78111i | −0.454873 | − | 0.890556i | \(-0.650315\pi\) | ||
0.454873 | − | 0.890556i | \(-0.349685\pi\) | |||||||
\(728\) | −9.14057 | + | 2.72947i | −0.338772 | + | 0.101161i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −48.8617 | − | 28.2103i | −1.80845 | − | 1.04411i | ||||
\(731\) | 12.5451 | 0.463996 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 23.0396 | + | 39.9058i | 0.850989 | + | 1.47396i | 0.880317 | + | 0.474386i | \(0.157330\pi\) |
−0.0293284 | + | 0.999570i | \(0.509337\pi\) | |||||||
\(734\) | −26.6465 | − | 15.3844i | −0.983542 | − | 0.567848i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.49846i | 0.0920944i | ||||||||
\(737\) | − | 4.05921i | − | 0.149523i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 31.6517i | 1.16433i | 0.813071 | + | 0.582164i | \(0.197794\pi\) | ||||
−0.813071 | + | 0.582164i | \(0.802206\pi\) | |||||||
\(740\) | 11.8197 | + | 20.4723i | 0.434501 | + | 0.752577i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.66010 | + | 1.58834i | −0.207789 | + | 0.0583098i | ||||
\(743\) | −16.6091 | − | 28.7678i | −0.609329 | − | 1.05539i | −0.991351 | − | 0.131235i | \(-0.958106\pi\) |
0.382023 | − | 0.924153i | \(-0.375228\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −24.6863 | + | 14.2526i | −0.904435 | + | 0.522176i | ||||
\(746\) | 5.75723 | − | 9.97181i | 0.210787 | − | 0.365094i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.30734 | + | 2.26437i | −0.0478010 | + | 0.0827937i | ||||
\(749\) | −35.0901 | − | 34.2727i | −1.28217 | − | 1.25230i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.65279 | + | 4.59476i | −0.0968016 | + | 0.167665i | −0.910359 | − | 0.413819i | \(-0.864195\pi\) |
0.813557 | + | 0.581485i | \(0.197528\pi\) | |||||||
\(752\) | − | 6.66309i | − | 0.242978i | ||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.96972 | − | 6.61955i | −0.144569 | − | 0.241070i | ||||
\(755\) | −54.7801 | −1.99365 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.36478 | − | 11.0241i | −0.231332 | − | 0.400678i | 0.726869 | − | 0.686777i | \(-0.240975\pi\) |
−0.958200 | + | 0.286098i | \(0.907642\pi\) | |||||||
\(758\) | 1.48827i | 0.0540564i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.25934 | − | 1.88178i | 0.118229 | − | 0.0682593i | ||||
\(761\) | − | 14.2329i | − | 0.515944i | −0.966152 | − | 0.257972i | \(-0.916946\pi\) | ||
0.966152 | − | 0.257972i | \(-0.0830542\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.9044 | + | 14.5572i | 0.539575 | + | 0.527005i | ||||
\(764\) | 0.847414 | − | 0.489255i | 0.0306584 | − | 0.0177006i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 20.7750 | + | 11.9945i | 0.750632 | + | 0.433378i | ||||
\(767\) | −17.0218 | + | 30.6463i | −0.614621 | + | 1.10657i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −21.1003 | − | 36.5468i | −0.760896 | − | 1.31791i | −0.942389 | − | 0.334518i | \(-0.891427\pi\) |
0.181494 | − | 0.983392i | \(-0.441907\pi\) | |||||||
\(770\) | −0.870092 | + | 3.40734i | −0.0313559 | + | 0.122792i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.42764 | − | 2.55630i | 0.159354 | − | 0.0920032i | ||||
\(773\) | −0.673439 | + | 0.388810i | −0.0242219 | + | 0.0139845i | −0.512062 | − | 0.858948i | \(-0.671118\pi\) |
0.487840 | + | 0.872933i | \(0.337785\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.54314 | + | 14.7972i | 0.306879 | + | 0.531529i | ||||
\(776\) | −7.87790 | + | 13.6449i | −0.282800 | + | 0.489824i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 18.6504 | − | 10.7678i | 0.668651 | − | 0.386046i | ||||
\(779\) | 6.72481 | − | 3.88257i | 0.240941 | − | 0.139108i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.901918 | + | 1.56217i | −0.0322732 | + | 0.0558988i | ||||
\(782\) | 15.6868 | + | 9.05680i | 0.560960 | + | 0.323871i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.97801 | + | 3.64189i | −0.213500 | + | 0.130068i | ||||
\(785\) | 15.9760 | 0.570208 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.93992 | − | 12.0203i | −0.247382 | − | 0.428477i | 0.715417 | − | 0.698698i | \(-0.246237\pi\) |
−0.962799 | + | 0.270220i | \(0.912903\pi\) | |||||||
\(788\) | 9.72108 | − | 16.8374i | 0.346299 | − | 0.599808i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −29.2739 | + | 16.9013i | −1.04152 | + | 0.601321i | ||||
\(791\) | 0.524079 | + | 0.511870i | 0.0186341 | + | 0.0182000i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.23093 | + | 7.05512i | 0.150245 | + | 0.250535i | ||||
\(794\) | −1.79132 | + | 3.10265i | −0.0635715 | + | 0.110109i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −16.8671 | − | 9.73825i | −0.597840 | − | 0.345163i | ||||
\(797\) | 14.8879 | − | 25.7865i | 0.527355 | − | 0.913406i | −0.472137 | − | 0.881525i | \(-0.656517\pi\) |
0.999492 | − | 0.0318802i | \(-0.0101495\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −41.8349 | − | 24.1534i | −1.48001 | − | 0.854486i | ||||
\(800\) | 8.58309 | 0.303458 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 17.9224 | + | 31.0425i | 0.632862 | + | 1.09615i | ||||
\(803\) | −2.76054 | + | 4.78139i | −0.0974172 | + | 0.168731i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 23.6050 | + | 6.02771i | 0.831966 | + | 0.212449i | ||||
\(806\) | 6.27463 | + | 3.48511i | 0.221015 | + | 0.122758i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.76556 | 0.308371 | ||||||||
\(809\) | 23.1677i | 0.814533i | 0.913309 | + | 0.407267i | \(0.133518\pi\) | ||||
−0.913309 | + | 0.407267i | \(0.866482\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.4847 | −0.403283 | −0.201642 | − | 0.979459i | \(-0.564628\pi\) | ||||
−0.201642 | + | 0.979459i | \(0.564628\pi\) | |||||||
\(812\) | −4.05191 | − | 3.95752i | −0.142194 | − | 0.138882i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.00333 | − | 1.15662i | 0.0702166 | − | 0.0405396i | ||||
\(815\) | 12.9060 | + | 22.3539i | 0.452079 | + | 0.783024i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.883506 | + | 1.53028i | −0.0309100 | + | 0.0535376i | ||||
\(818\) | −34.3349 | −1.20049 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 28.0252 | 0.978684 | ||||||||
\(821\) | 6.98796 | − | 12.1035i | 0.243881 | − | 0.422415i | −0.717935 | − | 0.696110i | \(-0.754913\pi\) |
0.961817 | + | 0.273695i | \(0.0882459\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.708385 | + | 1.22696i | 0.0246928 | + | 0.0427691i | 0.878108 | − | 0.478463i | \(-0.158806\pi\) |
−0.853415 | + | 0.521232i | \(0.825473\pi\) | |||||||
\(824\) | −2.72155 | + | 1.57129i | −0.0948097 | + | 0.0547384i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.36464 | + | 24.9244i | −0.221454 | + | 0.867231i | ||||
\(827\) | 29.2756 | 1.01801 | 0.509007 | − | 0.860762i | \(-0.330013\pi\) | ||||
0.509007 | + | 0.860762i | \(0.330013\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 25.6948i | − | 0.892418i | −0.894929 | − | 0.446209i | \(-0.852774\pi\) | ||
0.894929 | − | 0.446209i | \(-0.147226\pi\) | |||||||
\(830\) | 40.9094 | 1.41999 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3.09215 | − | 1.85435i | 0.107201 | − | 0.0642880i | ||||
\(833\) | 1.19600 | + | 50.7353i | 0.0414389 | + | 1.75787i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 34.9901 | − | 60.6046i | 1.21088 | − | 2.09731i | ||||
\(836\) | −0.184143 | − | 0.318944i | −0.00636870 | − | 0.0110309i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 20.9772 | 0.724644 | ||||||||
\(839\) | 31.8591 | + | 18.3939i | 1.09990 | + | 0.635027i | 0.936194 | − | 0.351483i | \(-0.114322\pi\) |
0.163704 | + | 0.986509i | \(0.447656\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.2086 | + | 21.1459i | −0.420985 | + | 0.729168i | ||||
\(842\) | −1.06109 | − | 0.612620i | −0.0365676 | − | 0.0211123i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.41205 | − | 5.90984i | 0.117448 | − | 0.203425i | ||||
\(845\) | −1.59015 | − | 47.8854i | −0.0547027 | − | 1.64731i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −27.8650 | − | 7.11554i | −0.957452 | − | 0.244493i | ||||
\(848\) | 1.92427 | − | 1.11098i | 0.0660797 | − | 0.0381511i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 31.1133 | − | 53.8899i | 1.06718 | − | 1.84841i | ||||
\(851\) | −8.01270 | − | 13.8784i | −0.274672 | − | 0.475746i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 11.0484 | 0.378291 | 0.189145 | − | 0.981949i | \(-0.439428\pi\) | ||||
0.189145 | + | 0.981949i | \(0.439428\pi\) | |||||||
\(854\) | 4.31853 | + | 4.21793i | 0.147777 | + | 0.144335i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 16.0555 | + | 9.26964i | 0.548765 | + | 0.316830i | ||||
\(857\) | −5.51419 | + | 9.55086i | −0.188361 | + | 0.326251i | −0.944704 | − | 0.327924i | \(-0.893651\pi\) |
0.756343 | + | 0.654175i | \(0.226984\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.38511 | − | 1.37704i | 0.0813789 | − | 0.0469841i | −0.458758 | − | 0.888561i | \(-0.651706\pi\) |
0.540137 | + | 0.841577i | \(0.318372\pi\) | |||||||
\(860\) | −5.52293 | + | 3.18867i | −0.188331 | + | 0.108733i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.94517 | + | 5.10118i | −0.100313 | + | 0.173747i | ||||
\(863\) | −20.8604 | − | 36.1313i | −0.710097 | − | 1.22992i | −0.964820 | − | 0.262910i | \(-0.915318\pi\) |
0.254723 | − | 0.967014i | \(-0.418016\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 57.8546 | − | 33.4024i | 1.96711 | − | 1.13571i | ||||
\(866\) | −34.0327 | + | 19.6488i | −1.15648 | + | 0.667692i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 5.10312 | + | 1.30312i | 0.173211 | + | 0.0442308i | ||||
\(869\) | 1.65389 | + | 2.86461i | 0.0561042 | + | 0.0971754i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 20.8713 | + | 34.8030i | 0.707195 | + | 1.17926i | ||||
\(872\) | −6.81950 | − | 3.93724i | −0.230937 | − | 0.133332i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.20954 | + | 1.27568i | −0.0747389 | + | 0.0431505i | ||||
\(875\) | 8.64448 | − | 33.8524i | 0.292237 | − | 1.14442i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 36.5369i | 1.23376i | 0.787056 | + | 0.616881i | \(0.211604\pi\) | ||||
−0.787056 | + | 0.616881i | \(0.788396\pi\) | |||||||
\(878\) | 14.9305 | − | 8.62010i | 0.503879 | − | 0.290914i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | − | 1.32918i | − | 0.0448067i | ||||||
\(881\) | 16.5800 | + | 28.7174i | 0.558594 | + | 0.967512i | 0.997614 | + | 0.0690355i | \(0.0219922\pi\) |
−0.439021 | + | 0.898477i | \(0.644674\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 58.2306 | 1.95962 | 0.979808 | − | 0.199941i | \(-0.0640750\pi\) | ||||
0.979808 | + | 0.199941i | \(0.0640750\pi\) | |||||||
\(884\) | −0.433839 | − | 26.1363i | −0.0145916 | − | 0.879060i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.627132i | 0.0210689i | ||||||||
\(887\) | 20.1713 | − | 34.9378i | 0.677287 | − | 1.17310i | −0.298508 | − | 0.954407i | \(-0.596489\pi\) |
0.975795 | − | 0.218688i | \(-0.0701778\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.41697 | − | 26.4306i | −0.248757 | − | 0.886455i | ||||
\(890\) | −26.9699 | + | 46.7132i | −0.904032 | + | 1.56583i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 14.2672 | − | 24.7115i | 0.477702 | − | 0.827403i | ||||
\(893\) | 5.89259 | − | 3.40209i | 0.197188 | − | 0.113846i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 22.0046 | + | 38.1131i | 0.735532 | + | 1.27398i | ||||
\(896\) | 1.84865 | − | 1.89275i | 0.0617591 | − | 0.0632322i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −13.0921 | − | 22.6762i | −0.436889 | − | 0.756714i | ||||
\(899\) | 4.26159i | 0.142132i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 16.1090i | − | 0.536668i | ||||||
\(902\) | − | 2.74243i | − | 0.0913128i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.239792 | − | 0.138444i | −0.00797537 | − | 0.00460458i | ||||
\(905\) | 12.7683 | + | 22.1153i | 0.424432 | + | 0.735137i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.0242 | −0.598485 | −0.299243 | − | 0.954177i | \(-0.596734\pi\) | ||||
−0.299243 | + | 0.954177i | \(0.596734\pi\) | |||||||
\(908\) | 4.48708 | + | 2.59062i | 0.148909 | + | 0.0859726i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −10.0595 | − | 33.6878i | −0.333470 | − | 1.11674i | ||||
\(911\) | 6.01179i | 0.199180i | 0.995029 | + | 0.0995898i | \(0.0317530\pi\) | ||||
−0.995029 | + | 0.0995898i | \(0.968247\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 4.00321i | − | 0.132487i | ||||||
\(914\) | −20.6258 | + | 11.9083i | −0.682241 | + | 0.393892i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.39140 | + | 7.60612i | −0.145096 | + | 0.251313i | ||||
\(917\) | −5.92892 | − | 21.1279i | −0.195790 | − | 0.697705i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.8597 | −0.556150 | −0.278075 | − | 0.960559i | \(-0.589696\pi\) | ||||
−0.278075 | + | 0.960559i | \(0.589696\pi\) | |||||||
\(920\) | −9.20813 | −0.303583 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 15.9116 | − | 9.18657i | 0.524021 | − | 0.302544i | ||||
\(923\) | −0.299301 | − | 18.0312i | −0.00985161 | − | 0.593503i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −47.6773 | + | 27.5265i | −1.56762 | + | 0.905065i | ||||
\(926\) | 9.82613 | + | 5.67312i | 0.322907 | + | 0.186430i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.85395 | + | 1.07038i | 0.0608590 | + | 0.0351370i | ||||
\(929\) | − | 41.0176i | − | 1.34574i | −0.739759 | − | 0.672872i | \(-0.765060\pi\) | ||
0.739759 | − | 0.672872i | \(-0.234940\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.27304 | − | 3.42722i | −0.205591 | − | 0.112323i | ||||
\(932\) | −2.45840 | − | 1.41936i | −0.0805275 | − | 0.0464926i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.25675 | 0.0738430 | ||||||||
\(935\) | −8.34540 | − | 4.81822i | −0.272924 | − | 0.157573i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.1635i | 0.430034i | 0.976610 | + | 0.215017i | \(0.0689806\pi\) | ||||
−0.976610 | + | 0.215017i | \(0.931019\pi\) | |||||||
\(938\) | 21.3034 | + | 20.8071i | 0.695580 | + | 0.679377i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 24.5570 | 0.800961 | ||||||||
\(941\) | −46.0080 | − | 26.5628i | −1.49982 | − | 0.865921i | −0.499819 | − | 0.866130i | \(-0.666600\pi\) |
−1.00000 | 0.000208449i | \(0.999934\pi\) | ||||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.9986 | −0.618680 | ||||||||
\(944\) | − | 9.72283i | − | 0.316451i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.312029 | + | 0.540450i | 0.0101449 | + | 0.0175715i | ||||
\(947\) | −5.83806 | + | 10.1118i | −0.189712 | + | 0.328590i | −0.945154 | − | 0.326625i | \(-0.894089\pi\) |
0.755442 | + | 0.655215i | \(0.227422\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.916082 | − | 55.1887i | −0.0297373 | − | 1.79150i | ||||
\(950\) | 4.38241 | + | 7.59056i | 0.142184 | + | 0.246270i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.18252 | − | 18.4681i | −0.167966 | − | 0.598554i | ||||
\(953\) | 11.0895 | + | 6.40254i | 0.359225 | + | 0.207398i | 0.668741 | − | 0.743496i | \(-0.266834\pi\) |
−0.309516 | + | 0.950894i | \(0.600167\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.80316 | + | 3.12317i | 0.0583489 | + | 0.101063i | ||||
\(956\) | 9.98004 | + | 17.2859i | 0.322777 | + | 0.559067i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.7671 | + | 6.21638i | 0.347869 | + | 0.200842i | ||||
\(959\) | −0.852435 | − | 3.03768i | −0.0275266 | − | 0.0980918i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5186 | + | 23.4149i | 0.436083 | + | 0.755318i | ||||
\(962\) | −11.2292 | + | 20.2172i | −0.362044 | + | 0.651829i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.35228 | + | 2.34221i | −0.0435539 | + | 0.0754376i | ||||
\(965\) | 9.42130 | + | 16.3182i | 0.303283 | + | 0.525301i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 36.2076i | 1.16436i | 0.813061 | + | 0.582179i | \(0.197800\pi\) | ||||
−0.813061 | + | 0.582179i | \(0.802200\pi\) | |||||||
\(968\) | 10.8699 | 0.349373 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −50.2887 | − | 29.0342i | −1.61467 | − | 0.932232i | ||||
\(971\) | 13.8202 | 0.443513 | 0.221756 | − | 0.975102i | \(-0.428821\pi\) | ||||
0.221756 | + | 0.975102i | \(0.428821\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −36.8094 | − | 35.9519i | −1.18006 | − | 1.15257i | ||||
\(974\) | − | 21.9255i | − | 0.702538i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.97594 | − | 1.14081i | −0.0632484 | − | 0.0365165i | ||||
\(977\) | −0.690066 | −0.0220772 | −0.0110386 | − | 0.999939i | \(-0.503514\pi\) | ||||
−0.0110386 | + | 0.999939i | \(0.503514\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.57114 | + | 2.63915i | 0.146094 | + | 0.0843476i | ||||
\(980\) | −13.4223 | − | 22.0321i | −0.428759 | − | 0.703790i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | − | 42.2794i | − | 1.34919i | ||||||
\(983\) | 31.6283 | + | 18.2606i | 1.00879 | + | 0.582423i | 0.910836 | − | 0.412769i | \(-0.135438\pi\) |
0.0979498 | + | 0.995191i | \(0.468772\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 62.0547 | + | 35.8273i | 1.97723 | + | 1.14155i | ||||
\(986\) | 13.4410 | − | 7.76016i | 0.428048 | − | 0.247134i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.21873 | + | 1.78777i | 0.102401 | + | 0.0568766i | ||||
\(989\) | 3.74406 | − | 2.16163i | 0.119054 | − | 0.0687360i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.2493 | −0.643240 | −0.321620 | − | 0.946869i | \(-0.604227\pi\) | ||||
−0.321620 | + | 0.946869i | \(0.604227\pi\) | |||||||
\(992\) | −1.99069 | −0.0632045 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −3.57537 | − | 12.7409i | −0.113404 | − | 0.404118i | ||||
\(995\) | 35.8905 | − | 62.1643i | 1.13781 | − | 1.97074i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.91405 | + | 4.56918i | −0.250640 | + | 0.144707i | −0.620057 | − | 0.784556i | \(-0.712891\pi\) |
0.369417 | + | 0.929264i | \(0.379557\pi\) | |||||||
\(998\) | − | 39.8871i | − | 1.26261i | ||||||
\(999\) | 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 | 1638.2.dw.b.647.17 | yes | 36 | |
3.2 | odd | 2 | 1638.2.dw.a.647.2 | yes | 36 | ||
7.5 | odd | 6 | 1638.2.dg.a.1349.17 | yes | 36 | ||
13.4 | even | 6 | 1638.2.dg.b.17.2 | yes | 36 | ||
21.5 | even | 6 | 1638.2.dg.b.1349.2 | yes | 36 | ||
39.17 | odd | 6 | 1638.2.dg.a.17.17 | ✓ | 36 | ||
91.82 | odd | 6 | 1638.2.dw.a.719.2 | yes | 36 | ||
273.173 | even | 6 | inner | 1638.2.dw.b.719.17 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1638.2.dg.a.17.17 | ✓ | 36 | 39.17 | odd | 6 | ||
1638.2.dg.a.1349.17 | yes | 36 | 7.5 | odd | 6 | ||
1638.2.dg.b.17.2 | yes | 36 | 13.4 | even | 6 | ||
1638.2.dg.b.1349.2 | yes | 36 | 21.5 | even | 6 | ||
1638.2.dw.a.647.2 | yes | 36 | 3.2 | odd | 2 | ||
1638.2.dw.a.719.2 | yes | 36 | 91.82 | odd | 6 | ||
1638.2.dw.b.647.17 | yes | 36 | 1.1 | even | 1 | trivial | |
1638.2.dw.b.719.17 | yes | 36 | 273.173 | even | 6 | inner |