Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.21 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.b.535.22 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.483740 | − | 1.32891i | 0.342056 | − | 0.939680i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | −1.53199 | − | 1.28569i | −0.765996 | − | 0.642846i | ||||
\(5\) | 3.80010i | 1.69945i | 0.527222 | + | 0.849727i | \(0.323233\pi\) | ||||
−0.527222 | + | 0.849727i | \(0.676767\pi\) | |||||||
\(6\) | 0.483740 | − | 1.32891i | 0.197486 | − | 0.542524i | ||||
\(7\) | −0.504221 | −0.190578 | −0.0952888 | − | 0.995450i | \(-0.530377\pi\) | ||||
−0.0952888 | + | 0.995450i | \(0.530377\pi\) | |||||||
\(8\) | −2.44965 | + | 1.41393i | −0.866082 | + | 0.499901i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 5.04998 | + | 1.83826i | 1.59694 | + | 0.581308i | ||||
\(11\) | −0.340071 | −0.102535 | −0.0512676 | − | 0.998685i | \(-0.516326\pi\) | ||||
−0.0512676 | + | 0.998685i | \(0.516326\pi\) | |||||||
\(12\) | −1.53199 | − | 1.28569i | −0.442248 | − | 0.371147i | ||||
\(13\) | 4.62451i | 1.28261i | 0.767287 | + | 0.641304i | \(0.221606\pi\) | ||||
−0.767287 | + | 0.641304i | \(0.778394\pi\) | |||||||
\(14\) | −0.243912 | + | 0.670063i | −0.0651882 | + | 0.179082i | ||||
\(15\) | 3.80010i | 0.981181i | ||||||||
\(16\) | 0.693993 | + | 3.93934i | 0.173498 | + | 0.984834i | ||||
\(17\) | −5.54179 | −1.34408 | −0.672040 | − | 0.740514i | \(-0.734582\pi\) | ||||
−0.672040 | + | 0.740514i | \(0.734582\pi\) | |||||||
\(18\) | 0.483740 | − | 1.32891i | 0.114019 | − | 0.313227i | ||||
\(19\) | 5.66175i | 1.29890i | 0.760406 | + | 0.649448i | \(0.225000\pi\) | ||||
−0.760406 | + | 0.649448i | \(0.775000\pi\) | |||||||
\(20\) | 4.88575 | − | 5.82171i | 1.09249 | − | 1.30177i | ||||
\(21\) | −0.504221 | −0.110030 | ||||||||
\(22\) | −0.164506 | + | 0.451923i | −0.0350728 | + | 0.0963503i | ||||
\(23\) | − | 2.26733i | − | 0.472772i | −0.971659 | − | 0.236386i | \(-0.924037\pi\) | ||
0.971659 | − | 0.236386i | \(-0.0759630\pi\) | |||||||
\(24\) | −2.44965 | + | 1.41393i | −0.500033 | + | 0.288618i | ||||
\(25\) | −9.44073 | −1.88815 | ||||||||
\(26\) | 6.14555 | + | 2.23706i | 1.20524 | + | 0.438724i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0.772462 | + | 0.648273i | 0.145982 | + | 0.122512i | ||||
\(29\) | 2.67950 | 0.497571 | 0.248785 | − | 0.968559i | \(-0.419969\pi\) | ||||
0.248785 | + | 0.968559i | \(0.419969\pi\) | |||||||
\(30\) | 5.04998 | + | 1.83826i | 0.921995 | + | 0.335619i | ||||
\(31\) | 3.48870 | 0.626589 | 0.313295 | − | 0.949656i | \(-0.398567\pi\) | ||||
0.313295 | + | 0.949656i | \(0.398567\pi\) | |||||||
\(32\) | 5.57073 | + | 0.983362i | 0.984775 | + | 0.173836i | ||||
\(33\) | −0.340071 | −0.0591987 | ||||||||
\(34\) | −2.68078 | + | 7.36452i | −0.459751 | + | 1.26301i | ||||
\(35\) | − | 1.91609i | − | 0.323878i | ||||||
\(36\) | −1.53199 | − | 1.28569i | −0.255332 | − | 0.214282i | ||||
\(37\) | 3.22313 | 0.529879 | 0.264939 | − | 0.964265i | \(-0.414648\pi\) | ||||
0.264939 | + | 0.964265i | \(0.414648\pi\) | |||||||
\(38\) | 7.52395 | + | 2.73882i | 1.22055 | + | 0.444295i | ||||
\(39\) | 4.62451i | 0.740514i | ||||||||
\(40\) | −5.37309 | − | 9.30891i | −0.849559 | − | 1.47187i | ||||
\(41\) | 5.82399i | 0.909554i | 0.890605 | + | 0.454777i | \(0.150281\pi\) | ||||
−0.890605 | + | 0.454777i | \(0.849719\pi\) | |||||||
\(42\) | −0.243912 | + | 0.670063i | −0.0376364 | + | 0.103393i | ||||
\(43\) | 10.1339 | 1.54540 | 0.772701 | − | 0.634771i | \(-0.218905\pi\) | ||||
0.772701 | + | 0.634771i | \(0.218905\pi\) | |||||||
\(44\) | 0.520986 | + | 0.437226i | 0.0785415 | + | 0.0659143i | ||||
\(45\) | 3.80010i | 0.566485i | ||||||||
\(46\) | −3.01308 | − | 1.09680i | −0.444254 | − | 0.161714i | ||||
\(47\) | − | 4.07078i | − | 0.593784i | −0.954911 | − | 0.296892i | \(-0.904050\pi\) | ||
0.954911 | − | 0.296892i | \(-0.0959501\pi\) | |||||||
\(48\) | 0.693993 | + | 3.93934i | 0.100169 | + | 0.568594i | ||||
\(49\) | −6.74576 | −0.963680 | ||||||||
\(50\) | −4.56686 | + | 12.5459i | −0.645852 | + | 1.77425i | ||||
\(51\) | −5.54179 | −0.776005 | ||||||||
\(52\) | 5.94570 | − | 7.08471i | 0.824520 | − | 0.982472i | ||||
\(53\) | − | 2.30104i | − | 0.316072i | −0.987433 | − | 0.158036i | \(-0.949484\pi\) | ||
0.987433 | − | 0.158036i | \(-0.0505162\pi\) | |||||||
\(54\) | 0.483740 | − | 1.32891i | 0.0658287 | − | 0.180841i | ||||
\(55\) | − | 1.29230i | − | 0.174254i | ||||||
\(56\) | 1.23517 | − | 0.712935i | 0.165056 | − | 0.0952700i | ||||
\(57\) | 5.66175i | 0.749918i | ||||||||
\(58\) | 1.29618 | − | 3.56081i | 0.170197 | − | 0.467557i | ||||
\(59\) | 4.68692i | 0.610185i | 0.952323 | + | 0.305092i | \(0.0986874\pi\) | ||||
−0.952323 | + | 0.305092i | \(0.901313\pi\) | |||||||
\(60\) | 4.88575 | − | 5.82171i | 0.630748 | − | 0.751580i | ||||
\(61\) | − | 5.81766i | − | 0.744875i | −0.928057 | − | 0.372437i | \(-0.878522\pi\) | ||
0.928057 | − | 0.372437i | \(-0.121478\pi\) | |||||||
\(62\) | 1.68762 | − | 4.63616i | 0.214329 | − | 0.588793i | ||||
\(63\) | −0.504221 | −0.0635259 | ||||||||
\(64\) | 4.00158 | − | 6.92729i | 0.500198 | − | 0.865911i | ||||
\(65\) | −17.5736 | −2.17973 | ||||||||
\(66\) | −0.164506 | + | 0.451923i | −0.0202493 | + | 0.0556278i | ||||
\(67\) | −1.18570 | + | 8.09902i | −0.144856 | + | 0.989453i | ||||
\(68\) | 8.48997 | + | 7.12503i | 1.02956 | + | 0.864037i | ||||
\(69\) | − | 2.26733i | − | 0.272955i | ||||||
\(70\) | −2.54631 | − | 0.926889i | −0.304342 | − | 0.110784i | ||||
\(71\) | − | 9.21056i | − | 1.09309i | −0.837429 | − | 0.546546i | \(-0.815942\pi\) | ||
0.837429 | − | 0.546546i | \(-0.184058\pi\) | |||||||
\(72\) | −2.44965 | + | 1.41393i | −0.288694 | + | 0.166634i | ||||
\(73\) | 10.5523 | 1.23505 | 0.617525 | − | 0.786551i | \(-0.288135\pi\) | ||||
0.617525 | + | 0.786551i | \(0.288135\pi\) | |||||||
\(74\) | 1.55916 | − | 4.28324i | 0.181248 | − | 0.497916i | ||||
\(75\) | −9.44073 | −1.09012 | ||||||||
\(76\) | 7.27927 | − | 8.67376i | 0.834989 | − | 0.994948i | ||||
\(77\) | 0.171471 | 0.0195409 | ||||||||
\(78\) | 6.14555 | + | 2.23706i | 0.695846 | + | 0.253297i | ||||
\(79\) | 9.58435 | 1.07832 | 0.539162 | − | 0.842202i | \(-0.318741\pi\) | ||||
0.539162 | + | 0.842202i | \(0.318741\pi\) | |||||||
\(80\) | −14.9699 | + | 2.63724i | −1.67368 | + | 0.294853i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 7.73954 | + | 2.81730i | 0.854690 | + | 0.311118i | ||||
\(83\) | − | 16.5312i | − | 1.81454i | −0.420554 | − | 0.907268i | \(-0.638164\pi\) | ||
0.420554 | − | 0.907268i | \(-0.361836\pi\) | |||||||
\(84\) | 0.772462 | + | 0.648273i | 0.0842825 | + | 0.0707324i | ||||
\(85\) | − | 21.0593i | − | 2.28420i | ||||||
\(86\) | 4.90216 | − | 13.4670i | 0.528614 | − | 1.45218i | ||||
\(87\) | 2.67950 | 0.287273 | ||||||||
\(88\) | 0.833055 | − | 0.480838i | 0.0888040 | − | 0.0512575i | ||||
\(89\) | −9.37374 | −0.993614 | −0.496807 | − | 0.867861i | \(-0.665494\pi\) | ||||
−0.496807 | + | 0.867861i | \(0.665494\pi\) | |||||||
\(90\) | 5.04998 | + | 1.83826i | 0.532314 | + | 0.193769i | ||||
\(91\) | − | 2.33178i | − | 0.244437i | ||||||
\(92\) | −2.91509 | + | 3.47354i | −0.303920 | + | 0.362141i | ||||
\(93\) | 3.48870 | 0.361761 | ||||||||
\(94\) | −5.40969 | − | 1.96920i | −0.557967 | − | 0.203107i | ||||
\(95\) | −21.5152 | −2.20741 | ||||||||
\(96\) | 5.57073 | + | 0.983362i | 0.568560 | + | 0.100364i | ||||
\(97\) | − | 0.449792i | − | 0.0456695i | −0.999739 | − | 0.0228347i | \(-0.992731\pi\) | ||
0.999739 | − | 0.0228347i | \(-0.00726916\pi\) | |||||||
\(98\) | −3.26320 | + | 8.96449i | −0.329632 | + | 0.905551i | ||||
\(99\) | −0.340071 | −0.0341784 | ||||||||
\(100\) | 14.4631 | + | 12.1379i | 1.44631 | + | 1.21379i | ||||
\(101\) | 5.32681i | 0.530038i | 0.964243 | + | 0.265019i | \(0.0853782\pi\) | ||||
−0.964243 | + | 0.265019i | \(0.914622\pi\) | |||||||
\(102\) | −2.68078 | + | 7.36452i | −0.265437 | + | 0.729196i | ||||
\(103\) | 1.81617i | 0.178953i | 0.995989 | + | 0.0894763i | \(0.0285193\pi\) | ||||
−0.995989 | + | 0.0894763i | \(0.971481\pi\) | |||||||
\(104\) | −6.53875 | − | 11.3284i | −0.641177 | − | 1.11084i | ||||
\(105\) | − | 1.91609i | − | 0.186991i | ||||||
\(106\) | −3.05787 | − | 1.11310i | −0.297006 | − | 0.108114i | ||||
\(107\) | − | 3.66598i | − | 0.354404i | −0.984175 | − | 0.177202i | \(-0.943295\pi\) | ||
0.984175 | − | 0.177202i | \(-0.0567045\pi\) | |||||||
\(108\) | −1.53199 | − | 1.28569i | −0.147416 | − | 0.123716i | ||||
\(109\) | − | 6.47504i | − | 0.620196i | −0.950705 | − | 0.310098i | \(-0.899638\pi\) | ||
0.950705 | − | 0.310098i | \(-0.100362\pi\) | |||||||
\(110\) | −1.71735 | − | 0.625138i | −0.163743 | − | 0.0596046i | ||||
\(111\) | 3.22313 | 0.305926 | ||||||||
\(112\) | −0.349926 | − | 1.98630i | −0.0330649 | − | 0.187687i | ||||
\(113\) | 12.8033i | 1.20444i | 0.798332 | + | 0.602218i | \(0.205716\pi\) | ||||
−0.798332 | + | 0.602218i | \(0.794284\pi\) | |||||||
\(114\) | 7.52395 | + | 2.73882i | 0.704682 | + | 0.256514i | ||||
\(115\) | 8.61609 | 0.803455 | ||||||||
\(116\) | −4.10497 | − | 3.44501i | −0.381137 | − | 0.319861i | ||||
\(117\) | 4.62451i | 0.427536i | ||||||||
\(118\) | 6.22848 | + | 2.26725i | 0.573378 | + | 0.208717i | ||||
\(119\) | 2.79429 | 0.256152 | ||||||||
\(120\) | −5.37309 | − | 9.30891i | −0.490493 | − | 0.849783i | ||||
\(121\) | −10.8844 | −0.989487 | ||||||||
\(122\) | −7.73113 | − | 2.81423i | −0.699944 | − | 0.254789i | ||||
\(123\) | 5.82399i | 0.525131i | ||||||||
\(124\) | −5.34466 | − | 4.48539i | −0.479965 | − | 0.402800i | ||||
\(125\) | − | 16.8752i | − | 1.50936i | ||||||
\(126\) | −0.243912 | + | 0.670063i | −0.0217294 | + | 0.0596940i | ||||
\(127\) | 13.0192i | 1.15527i | 0.816295 | + | 0.577635i | \(0.196024\pi\) | ||||
−0.816295 | + | 0.577635i | \(0.803976\pi\) | |||||||
\(128\) | −7.27000 | − | 8.66874i | −0.642584 | − | 0.766216i | ||||
\(129\) | 10.1339 | 0.892238 | ||||||||
\(130\) | −8.50105 | + | 23.3537i | −0.745591 | + | 2.04825i | ||||
\(131\) | 18.9830i | 1.65855i | 0.558840 | + | 0.829276i | \(0.311247\pi\) | ||||
−0.558840 | + | 0.829276i | \(0.688753\pi\) | |||||||
\(132\) | 0.520986 | + | 0.437226i | 0.0453460 | + | 0.0380557i | ||||
\(133\) | − | 2.85478i | − | 0.247540i | ||||||
\(134\) | 10.1893 | + | 5.49351i | 0.880220 | + | 0.474567i | ||||
\(135\) | 3.80010i | 0.327060i | ||||||||
\(136\) | 13.5754 | − | 7.83572i | 1.16408 | − | 0.671908i | ||||
\(137\) | − | 0.648578i | − | 0.0554118i | −0.999616 | − | 0.0277059i | \(-0.991180\pi\) | ||
0.999616 | − | 0.0277059i | \(-0.00882018\pi\) | |||||||
\(138\) | −3.01308 | − | 1.09680i | −0.256490 | − | 0.0933659i | ||||
\(139\) | 15.1383 | 1.28402 | 0.642009 | − | 0.766697i | \(-0.278101\pi\) | ||||
0.642009 | + | 0.766697i | \(0.278101\pi\) | |||||||
\(140\) | −2.46350 | + | 2.93543i | −0.208204 | + | 0.248089i | ||||
\(141\) | − | 4.07078i | − | 0.342821i | ||||||
\(142\) | −12.2400 | − | 4.45552i | −1.02716 | − | 0.373899i | ||||
\(143\) | − | 1.57266i | − | 0.131513i | ||||||
\(144\) | 0.693993 | + | 3.93934i | 0.0578328 | + | 0.328278i | ||||
\(145\) | 10.1824i | 0.845599i | ||||||||
\(146\) | 5.10456 | − | 14.0230i | 0.422456 | − | 1.16055i | ||||
\(147\) | −6.74576 | −0.556381 | ||||||||
\(148\) | −4.93780 | − | 4.14395i | −0.405885 | − | 0.340631i | ||||
\(149\) | −16.4646 | −1.34883 | −0.674414 | − | 0.738353i | \(-0.735604\pi\) | ||||
−0.674414 | + | 0.738353i | \(0.735604\pi\) | |||||||
\(150\) | −4.56686 | + | 12.5459i | −0.372883 | + | 1.02437i | ||||
\(151\) | − | 22.4874i | − | 1.83000i | −0.403459 | − | 0.914998i | \(-0.632192\pi\) | ||
0.403459 | − | 0.914998i | \(-0.367808\pi\) | |||||||
\(152\) | −8.00535 | − | 13.8693i | −0.649319 | − | 1.12495i | ||||
\(153\) | −5.54179 | −0.448027 | ||||||||
\(154\) | 0.0829473 | − | 0.227869i | 0.00668409 | − | 0.0183622i | ||||
\(155\) | 13.2574i | 1.06486i | ||||||||
\(156\) | 5.94570 | − | 7.08471i | 0.476037 | − | 0.567231i | ||||
\(157\) | 4.28597 | 0.342058 | 0.171029 | − | 0.985266i | \(-0.445291\pi\) | ||||
0.171029 | + | 0.985266i | \(0.445291\pi\) | |||||||
\(158\) | 4.63634 | − | 12.7367i | 0.368847 | − | 1.01328i | ||||
\(159\) | − | 2.30104i | − | 0.182484i | ||||||
\(160\) | −3.73687 | + | 21.1693i | −0.295426 | + | 1.67358i | ||||
\(161\) | 1.14324i | 0.0900998i | ||||||||
\(162\) | 0.483740 | − | 1.32891i | 0.0380062 | − | 0.104409i | ||||
\(163\) | 1.28405i | 0.100574i | 0.998735 | + | 0.0502871i | \(0.0160136\pi\) | ||||
−0.998735 | + | 0.0502871i | \(0.983986\pi\) | |||||||
\(164\) | 7.48786 | − | 8.92230i | 0.584703 | − | 0.696715i | ||||
\(165\) | − | 1.29230i | − | 0.100606i | ||||||
\(166\) | −21.9684 | − | 7.99681i | −1.70508 | − | 0.620672i | ||||
\(167\) | − | 2.23120i | − | 0.172655i | −0.996267 | − | 0.0863275i | \(-0.972487\pi\) | ||
0.996267 | − | 0.0863275i | \(-0.0275132\pi\) | |||||||
\(168\) | 1.23517 | − | 0.712935i | 0.0952951 | − | 0.0550042i | ||||
\(169\) | −8.38610 | −0.645084 | ||||||||
\(170\) | −27.9859 | − | 10.1872i | −2.14642 | − | 0.781326i | ||||
\(171\) | 5.66175i | 0.432965i | ||||||||
\(172\) | −15.5250 | − | 13.0290i | −1.18377 | − | 0.993455i | ||||
\(173\) | 8.76686 | 0.666532 | 0.333266 | − | 0.942833i | \(-0.391849\pi\) | ||||
0.333266 | + | 0.942833i | \(0.391849\pi\) | |||||||
\(174\) | 1.29618 | − | 3.56081i | 0.0982633 | − | 0.269944i | ||||
\(175\) | 4.76022 | 0.359839 | ||||||||
\(176\) | −0.236007 | − | 1.33965i | −0.0177897 | − | 0.100980i | ||||
\(177\) | 4.68692i | 0.352290i | ||||||||
\(178\) | −4.53445 | + | 12.4568i | −0.339872 | + | 0.933679i | ||||
\(179\) | −18.6985 | −1.39759 | −0.698795 | − | 0.715322i | \(-0.746280\pi\) | ||||
−0.698795 | + | 0.715322i | \(0.746280\pi\) | |||||||
\(180\) | 4.88575 | − | 5.82171i | 0.364162 | − | 0.433925i | ||||
\(181\) | 15.0472 | 1.11845 | 0.559225 | − | 0.829016i | \(-0.311099\pi\) | ||||
0.559225 | + | 0.829016i | \(0.311099\pi\) | |||||||
\(182\) | −3.09871 | − | 1.12797i | −0.229692 | − | 0.0836110i | ||||
\(183\) | − | 5.81766i | − | 0.430054i | ||||||
\(184\) | 3.20586 | + | 5.55418i | 0.236339 | + | 0.409460i | ||||
\(185\) | 12.2482i | 0.900505i | ||||||||
\(186\) | 1.68762 | − | 4.63616i | 0.123743 | − | 0.339940i | ||||
\(187\) | 1.88460 | 0.137816 | ||||||||
\(188\) | −5.23377 | + | 6.23640i | −0.381712 | + | 0.454836i | ||||
\(189\) | −0.504221 | −0.0366767 | ||||||||
\(190\) | −10.4078 | + | 28.5917i | −0.755059 | + | 2.07426i | ||||
\(191\) | 15.4232 | 1.11599 | 0.557993 | − | 0.829846i | \(-0.311572\pi\) | ||||
0.557993 | + | 0.829846i | \(0.311572\pi\) | |||||||
\(192\) | 4.00158 | − | 6.92729i | 0.288789 | − | 0.499934i | ||||
\(193\) | 20.7634 | 1.49458 | 0.747291 | − | 0.664497i | \(-0.231354\pi\) | ||||
0.747291 | + | 0.664497i | \(0.231354\pi\) | |||||||
\(194\) | −0.597733 | − | 0.217583i | −0.0429147 | − | 0.0156215i | ||||
\(195\) | −17.5736 | −1.25847 | ||||||||
\(196\) | 10.3344 | + | 8.67297i | 0.738175 | + | 0.619498i | ||||
\(197\) | 19.2813i | 1.37374i | 0.726781 | + | 0.686869i | \(0.241015\pi\) | ||||
−0.726781 | + | 0.686869i | \(0.758985\pi\) | |||||||
\(198\) | −0.164506 | + | 0.451923i | −0.0116909 | + | 0.0321168i | ||||
\(199\) | 3.70408i | 0.262575i | 0.991344 | + | 0.131288i | \(0.0419112\pi\) | ||||
−0.991344 | + | 0.131288i | \(0.958089\pi\) | |||||||
\(200\) | 23.1265 | − | 13.3486i | 1.63529 | − | 0.943886i | ||||
\(201\) | −1.18570 | + | 8.09902i | −0.0836328 | + | 0.571261i | ||||
\(202\) | 7.07884 | + | 2.57679i | 0.498066 | + | 0.181302i | ||||
\(203\) | −1.35106 | −0.0948259 | ||||||||
\(204\) | 8.48997 | + | 7.12503i | 0.594417 | + | 0.498852i | ||||
\(205\) | −22.1317 | −1.54575 | ||||||||
\(206\) | 2.41352 | + | 0.878554i | 0.168158 | + | 0.0612118i | ||||
\(207\) | − | 2.26733i | − | 0.157591i | ||||||
\(208\) | −18.2175 | + | 3.20938i | −1.26316 | + | 0.222530i | ||||
\(209\) | − | 1.92540i | − | 0.133183i | ||||||
\(210\) | −2.54631 | − | 0.926889i | −0.175712 | − | 0.0639614i | ||||
\(211\) | 8.23671i | 0.567039i | 0.958967 | + | 0.283519i | \(0.0915020\pi\) | ||||
−0.958967 | + | 0.283519i | \(0.908498\pi\) | |||||||
\(212\) | −2.95842 | + | 3.52517i | −0.203185 | + | 0.242110i | ||||
\(213\) | − | 9.21056i | − | 0.631097i | ||||||
\(214\) | −4.87175 | − | 1.77338i | −0.333026 | − | 0.121226i | ||||
\(215\) | 38.5097i | 2.62634i | ||||||||
\(216\) | −2.44965 | + | 1.41393i | −0.166678 | + | 0.0962060i | ||||
\(217\) | −1.75908 | −0.119414 | ||||||||
\(218\) | −8.60473 | − | 3.13224i | −0.582786 | − | 0.212142i | ||||
\(219\) | 10.5523 | 0.713057 | ||||||||
\(220\) | −1.66150 | + | 1.97980i | −0.112018 | + | 0.133478i | ||||
\(221\) | − | 25.6281i | − | 1.72393i | ||||||
\(222\) | 1.55916 | − | 4.28324i | 0.104644 | − | 0.287472i | ||||
\(223\) | − | 28.5150i | − | 1.90951i | −0.297401 | − | 0.954753i | \(-0.596120\pi\) | ||
0.297401 | − | 0.954753i | \(-0.403880\pi\) | |||||||
\(224\) | −2.80888 | − | 0.495832i | −0.187676 | − | 0.0331292i | ||||
\(225\) | −9.44073 | −0.629382 | ||||||||
\(226\) | 17.0144 | + | 6.19348i | 1.13178 | + | 0.411984i | ||||
\(227\) | − | 22.6375i | − | 1.50250i | −0.660017 | − | 0.751251i | \(-0.729451\pi\) | ||
0.660017 | − | 0.751251i | \(-0.270549\pi\) | |||||||
\(228\) | 7.27927 | − | 8.67376i | 0.482081 | − | 0.574433i | ||||
\(229\) | 23.6814i | 1.56491i | 0.622708 | + | 0.782455i | \(0.286033\pi\) | ||||
−0.622708 | + | 0.782455i | \(0.713967\pi\) | |||||||
\(230\) | 4.16795 | − | 11.4500i | 0.274826 | − | 0.754990i | ||||
\(231\) | 0.171471 | 0.0112820 | ||||||||
\(232\) | −6.56384 | + | 3.78864i | −0.430937 | + | 0.248736i | ||||
\(233\) | − | 5.29881i | − | 0.347136i | −0.984822 | − | 0.173568i | \(-0.944470\pi\) | ||
0.984822 | − | 0.173568i | \(-0.0555297\pi\) | |||||||
\(234\) | 6.14555 | + | 2.23706i | 0.401747 | + | 0.146241i | ||||
\(235\) | 15.4693 | 1.00911 | ||||||||
\(236\) | 6.02593 | − | 7.18032i | 0.392255 | − | 0.467399i | ||||
\(237\) | 9.58435 | 0.622571 | ||||||||
\(238\) | 1.35171 | − | 3.71335i | 0.0876182 | − | 0.240701i | ||||
\(239\) | −2.32000 | −0.150068 | −0.0750341 | − | 0.997181i | \(-0.523907\pi\) | ||||
−0.0750341 | + | 0.997181i | \(0.523907\pi\) | |||||||
\(240\) | −14.9699 | + | 2.63724i | −0.966300 | + | 0.170233i | ||||
\(241\) | −3.69645 | −0.238109 | −0.119055 | − | 0.992888i | \(-0.537986\pi\) | ||||
−0.119055 | + | 0.992888i | \(0.537986\pi\) | |||||||
\(242\) | −5.26520 | + | 14.4643i | −0.338460 | + | 0.929800i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −7.47972 | + | 8.91260i | −0.478840 | + | 0.570571i | ||||
\(245\) | − | 25.6345i | − | 1.63773i | ||||||
\(246\) | 7.73954 | + | 2.81730i | 0.493455 | + | 0.179624i | ||||
\(247\) | −26.1828 | −1.66597 | ||||||||
\(248\) | −8.54610 | + | 4.93279i | −0.542678 | + | 0.313233i | ||||
\(249\) | − | 16.5312i | − | 1.04762i | ||||||
\(250\) | −22.4256 | − | 8.16321i | −1.41832 | − | 0.516287i | ||||
\(251\) | −5.87230 | −0.370656 | −0.185328 | − | 0.982677i | \(-0.559335\pi\) | ||||
−0.185328 | + | 0.982677i | \(0.559335\pi\) | |||||||
\(252\) | 0.772462 | + | 0.648273i | 0.0486605 | + | 0.0408374i | ||||
\(253\) | 0.771055i | 0.0484758i | ||||||||
\(254\) | 17.3014 | + | 6.29792i | 1.08558 | + | 0.395167i | ||||
\(255\) | − | 21.0593i | − | 1.31879i | ||||||
\(256\) | −15.0367 | + | 5.46775i | −0.939797 | + | 0.341734i | ||||
\(257\) | 19.7965 | 1.23487 | 0.617437 | − | 0.786620i | \(-0.288171\pi\) | ||||
0.617437 | + | 0.786620i | \(0.288171\pi\) | |||||||
\(258\) | 4.90216 | − | 13.4670i | 0.305195 | − | 0.838418i | ||||
\(259\) | −1.62517 | −0.100983 | ||||||||
\(260\) | 26.9226 | + | 22.5942i | 1.66967 | + | 1.40123i | ||||
\(261\) | 2.67950 | 0.165857 | ||||||||
\(262\) | 25.2266 | + | 9.18283i | 1.55851 | + | 0.567317i | ||||
\(263\) | 22.7728i | 1.40423i | 0.712062 | + | 0.702116i | \(0.247761\pi\) | ||||
−0.712062 | + | 0.702116i | \(0.752239\pi\) | |||||||
\(264\) | 0.833055 | − | 0.480838i | 0.0512710 | − | 0.0295935i | ||||
\(265\) | 8.74416 | 0.537150 | ||||||||
\(266\) | −3.79373 | − | 1.38097i | −0.232609 | − | 0.0846727i | ||||
\(267\) | −9.37374 | −0.573663 | ||||||||
\(268\) | 12.2293 | − | 10.8832i | 0.747025 | − | 0.664796i | ||||
\(269\) | 25.2625 | 1.54028 | 0.770142 | − | 0.637872i | \(-0.220185\pi\) | ||||
0.770142 | + | 0.637872i | \(0.220185\pi\) | |||||||
\(270\) | 5.04998 | + | 1.83826i | 0.307332 | + | 0.111873i | ||||
\(271\) | −28.1672 | −1.71103 | −0.855517 | − | 0.517774i | \(-0.826761\pi\) | ||||
−0.855517 | + | 0.517774i | \(0.826761\pi\) | |||||||
\(272\) | −3.84596 | − | 21.8310i | −0.233196 | − | 1.32370i | ||||
\(273\) | − | 2.33178i | − | 0.141125i | ||||||
\(274\) | −0.861900 | − | 0.313743i | −0.0520693 | − | 0.0189539i | ||||
\(275\) | 3.21052 | 0.193601 | ||||||||
\(276\) | −2.91509 | + | 3.47354i | −0.175468 | + | 0.209082i | ||||
\(277\) | −11.1117 | −0.667640 | −0.333820 | − | 0.942637i | \(-0.608338\pi\) | ||||
−0.333820 | + | 0.942637i | \(0.608338\pi\) | |||||||
\(278\) | 7.32302 | − | 20.1175i | 0.439206 | − | 1.20656i | ||||
\(279\) | 3.48870 | 0.208863 | ||||||||
\(280\) | 2.70922 | + | 4.69375i | 0.161907 | + | 0.280505i | ||||
\(281\) | − | 17.7385i | − | 1.05819i | −0.848563 | − | 0.529094i | \(-0.822532\pi\) | ||
0.848563 | − | 0.529094i | \(-0.177468\pi\) | |||||||
\(282\) | −5.40969 | − | 1.96920i | −0.322142 | − | 0.117264i | ||||
\(283\) | 1.11568i | 0.0663202i | 0.999450 | + | 0.0331601i | \(0.0105571\pi\) | ||||
−0.999450 | + | 0.0331601i | \(0.989443\pi\) | |||||||
\(284\) | −11.8419 | + | 14.1105i | −0.702690 | + | 0.837304i | ||||
\(285\) | −21.5152 | −1.27445 | ||||||||
\(286\) | −2.08992 | − | 0.760759i | −0.123580 | − | 0.0449846i | ||||
\(287\) | − | 2.93658i | − | 0.173341i | ||||||
\(288\) | 5.57073 | + | 0.983362i | 0.328258 | + | 0.0579452i | ||||
\(289\) | 13.7114 | 0.806553 | ||||||||
\(290\) | 13.5314 | + | 4.92561i | 0.794592 | + | 0.289242i | ||||
\(291\) | − | 0.449792i | − | 0.0263673i | ||||||
\(292\) | −16.1660 | − | 13.5670i | −0.946043 | − | 0.793947i | ||||
\(293\) | 14.1069 | 0.824134 | 0.412067 | − | 0.911154i | \(-0.364807\pi\) | ||||
0.412067 | + | 0.911154i | \(0.364807\pi\) | |||||||
\(294\) | −3.26320 | + | 8.96449i | −0.190313 | + | 0.522820i | ||||
\(295\) | −17.8107 | −1.03698 | ||||||||
\(296\) | −7.89554 | + | 4.55729i | −0.458919 | + | 0.264887i | ||||
\(297\) | −0.340071 | −0.0197329 | ||||||||
\(298\) | −7.96456 | + | 21.8799i | −0.461375 | + | 1.26747i | ||||
\(299\) | 10.4853 | 0.606381 | ||||||||
\(300\) | 14.4631 | + | 12.1379i | 0.835028 | + | 0.700780i | ||||
\(301\) | −5.10971 | −0.294519 | ||||||||
\(302\) | −29.8836 | − | 10.8780i | −1.71961 | − | 0.625961i | ||||
\(303\) | 5.32681i | 0.306017i | ||||||||
\(304\) | −22.3036 | + | 3.92922i | −1.27920 | + | 0.225356i | ||||
\(305\) | 22.1077 | 1.26588 | ||||||||
\(306\) | −2.68078 | + | 7.36452i | −0.153250 | + | 0.421002i | ||||
\(307\) | − | 9.22285i | − | 0.526376i | −0.964745 | − | 0.263188i | \(-0.915226\pi\) | ||
0.964745 | − | 0.263188i | \(-0.0847739\pi\) | |||||||
\(308\) | −0.262692 | − | 0.220459i | −0.0149683 | − | 0.0125618i | ||||
\(309\) | 1.81617i | 0.103318i | ||||||||
\(310\) | 17.6179 | + | 6.41314i | 1.00063 | + | 0.364242i | ||||
\(311\) | 12.4064 | 0.703503 | 0.351752 | − | 0.936093i | \(-0.385586\pi\) | ||||
0.351752 | + | 0.936093i | \(0.385586\pi\) | |||||||
\(312\) | −6.53875 | − | 11.3284i | −0.370184 | − | 0.641346i | ||||
\(313\) | 24.7560i | 1.39929i | 0.714490 | + | 0.699646i | \(0.246659\pi\) | ||||
−0.714490 | + | 0.699646i | \(0.753341\pi\) | |||||||
\(314\) | 2.07330 | − | 5.69566i | 0.117003 | − | 0.321425i | ||||
\(315\) | − | 1.91609i | − | 0.107959i | ||||||
\(316\) | −14.6831 | − | 12.3225i | −0.825991 | − | 0.693196i | ||||
\(317\) | −9.58106 | −0.538126 | −0.269063 | − | 0.963123i | \(-0.586714\pi\) | ||||
−0.269063 | + | 0.963123i | \(0.586714\pi\) | |||||||
\(318\) | −3.05787 | − | 1.11310i | −0.171477 | − | 0.0624198i | ||||
\(319\) | −0.911220 | −0.0510185 | ||||||||
\(320\) | 26.3244 | + | 15.2064i | 1.47158 | + | 0.850063i | ||||
\(321\) | − | 3.66598i | − | 0.204615i | ||||||
\(322\) | 1.51926 | + | 0.553030i | 0.0846649 | + | 0.0308192i | ||||
\(323\) | − | 31.3762i | − | 1.74582i | ||||||
\(324\) | −1.53199 | − | 1.28569i | −0.0851106 | − | 0.0714273i | ||||
\(325\) | − | 43.6588i | − | 2.42175i | ||||||
\(326\) | 1.70638 | + | 0.621144i | 0.0945075 | + | 0.0344020i | ||||
\(327\) | − | 6.47504i | − | 0.358070i | ||||||
\(328\) | −8.23474 | − | 14.2667i | −0.454687 | − | 0.787749i | ||||
\(329\) | 2.05257i | 0.113162i | ||||||||
\(330\) | −1.71735 | − | 0.625138i | −0.0945370 | − | 0.0344127i | ||||
\(331\) | −5.90506 | −0.324572 | −0.162286 | − | 0.986744i | \(-0.551887\pi\) | ||||
−0.162286 | + | 0.986744i | \(0.551887\pi\) | |||||||
\(332\) | −21.2540 | + | 25.3257i | −1.16647 | + | 1.38993i | ||||
\(333\) | 3.22313 | 0.176626 | ||||||||
\(334\) | −2.96505 | − | 1.07932i | −0.162240 | − | 0.0590577i | ||||
\(335\) | −30.7771 | − | 4.50577i | −1.68153 | − | 0.246177i | ||||
\(336\) | −0.349926 | − | 1.98630i | −0.0190900 | − | 0.108361i | ||||
\(337\) | − | 30.3217i | − | 1.65173i | −0.563869 | − | 0.825864i | \(-0.690688\pi\) | ||
0.563869 | − | 0.825864i | \(-0.309312\pi\) | |||||||
\(338\) | −4.05669 | + | 11.1443i | −0.220655 | + | 0.606173i | ||||
\(339\) | 12.8033i | 0.695381i | ||||||||
\(340\) | −27.0758 | + | 32.2627i | −1.46839 | + | 1.74969i | ||||
\(341\) | −1.18641 | −0.0642475 | ||||||||
\(342\) | 7.52395 | + | 2.73882i | 0.406848 | + | 0.148098i | ||||
\(343\) | 6.93090 | 0.374234 | ||||||||
\(344\) | −24.8245 | + | 14.3286i | −1.33845 | + | 0.772548i | ||||
\(345\) | 8.61609 | 0.463875 | ||||||||
\(346\) | 4.24088 | − | 11.6504i | 0.227991 | − | 0.626327i | ||||
\(347\) | −25.4209 | −1.36466 | −0.682331 | − | 0.731043i | \(-0.739034\pi\) | ||||
−0.682331 | + | 0.731043i | \(0.739034\pi\) | |||||||
\(348\) | −4.10497 | − | 3.44501i | −0.220049 | − | 0.184672i | ||||
\(349\) | 28.2378 | 1.51154 | 0.755768 | − | 0.654840i | \(-0.227264\pi\) | ||||
0.755768 | + | 0.654840i | \(0.227264\pi\) | |||||||
\(350\) | 2.30271 | − | 6.32589i | 0.123085 | − | 0.338133i | ||||
\(351\) | 4.62451i | 0.246838i | ||||||||
\(352\) | −1.89444 | − | 0.334413i | −0.100974 | − | 0.0178243i | ||||
\(353\) | 3.21842i | 0.171299i | 0.996325 | + | 0.0856496i | \(0.0272965\pi\) | ||||
−0.996325 | + | 0.0856496i | \(0.972703\pi\) | |||||||
\(354\) | 6.22848 | + | 2.26725i | 0.331040 | + | 0.120503i | ||||
\(355\) | 35.0010 | 1.85766 | ||||||||
\(356\) | 14.3605 | + | 12.0517i | 0.761104 | + | 0.638741i | ||||
\(357\) | 2.79429 | 0.147889 | ||||||||
\(358\) | −9.04520 | + | 24.8485i | −0.478054 | + | 1.31329i | ||||
\(359\) | − | 10.2583i | − | 0.541410i | −0.962662 | − | 0.270705i | \(-0.912743\pi\) | ||
0.962662 | − | 0.270705i | \(-0.0872568\pi\) | |||||||
\(360\) | −5.37309 | − | 9.30891i | −0.283186 | − | 0.490623i | ||||
\(361\) | −13.0554 | −0.687129 | ||||||||
\(362\) | 7.27894 | − | 19.9964i | 0.382573 | − | 1.05099i | ||||
\(363\) | −10.8844 | −0.571280 | ||||||||
\(364\) | −2.99795 | + | 3.57226i | −0.157135 | + | 0.187237i | ||||
\(365\) | 40.0997i | 2.09891i | ||||||||
\(366\) | −7.73113 | − | 2.81423i | −0.404113 | − | 0.147102i | ||||
\(367\) | −10.4326 | −0.544577 | −0.272288 | − | 0.962216i | \(-0.587780\pi\) | ||||
−0.272288 | + | 0.962216i | \(0.587780\pi\) | |||||||
\(368\) | 8.93180 | − | 1.57352i | 0.465602 | − | 0.0820251i | ||||
\(369\) | 5.82399i | 0.303185i | ||||||||
\(370\) | 16.2767 | + | 5.92494i | 0.846186 | + | 0.308023i | ||||
\(371\) | 1.16023i | 0.0602362i | ||||||||
\(372\) | −5.34466 | − | 4.48539i | −0.277108 | − | 0.232557i | ||||
\(373\) | 18.9000i | 0.978603i | 0.872115 | + | 0.489301i | \(0.162748\pi\) | ||||
−0.872115 | + | 0.489301i | \(0.837252\pi\) | |||||||
\(374\) | 0.911657 | − | 2.50446i | 0.0471406 | − | 0.129503i | ||||
\(375\) | − | 16.8752i | − | 0.871432i | ||||||
\(376\) | 5.75581 | + | 9.97199i | 0.296833 | + | 0.514266i | ||||
\(377\) | 12.3914i | 0.638188i | ||||||||
\(378\) | −0.243912 | + | 0.670063i | −0.0125455 | + | 0.0344643i | ||||
\(379\) | 37.2326 | 1.91251 | 0.956255 | − | 0.292536i | \(-0.0944990\pi\) | ||||
0.956255 | + | 0.292536i | \(0.0944990\pi\) | |||||||
\(380\) | 32.9611 | + | 27.6619i | 1.69087 | + | 1.41903i | ||||
\(381\) | 13.0192i | 0.666995i | ||||||||
\(382\) | 7.46083 | − | 20.4960i | 0.381729 | − | 1.04867i | ||||
\(383\) | 27.8686 | 1.42402 | 0.712009 | − | 0.702171i | \(-0.247786\pi\) | ||||
0.712009 | + | 0.702171i | \(0.247786\pi\) | |||||||
\(384\) | −7.27000 | − | 8.66874i | −0.370996 | − | 0.442375i | ||||
\(385\) | 0.651606i | 0.0332089i | ||||||||
\(386\) | 10.0441 | − | 27.5926i | 0.511230 | − | 1.40443i | ||||
\(387\) | 10.1339 | 0.515134 | ||||||||
\(388\) | −0.578294 | + | 0.689078i | −0.0293584 | + | 0.0349826i | ||||
\(389\) | −31.7538 | −1.60998 | −0.804990 | − | 0.593288i | \(-0.797829\pi\) | ||||
−0.804990 | + | 0.593288i | \(0.797829\pi\) | |||||||
\(390\) | −8.50105 | + | 23.3537i | −0.430467 | + | 1.18256i | ||||
\(391\) | 12.5651i | 0.635444i | ||||||||
\(392\) | 16.5248 | − | 9.53806i | 0.834626 | − | 0.481745i | ||||
\(393\) | 18.9830i | 0.957565i | ||||||||
\(394\) | 25.6231 | + | 9.32715i | 1.29087 | + | 0.469895i | ||||
\(395\) | 36.4215i | 1.83256i | ||||||||
\(396\) | 0.520986 | + | 0.437226i | 0.0261805 | + | 0.0219714i | ||||
\(397\) | 30.5857 | 1.53505 | 0.767526 | − | 0.641018i | \(-0.221488\pi\) | ||||
0.767526 | + | 0.641018i | \(0.221488\pi\) | |||||||
\(398\) | 4.92238 | + | 1.79181i | 0.246737 | + | 0.0898154i | ||||
\(399\) | − | 2.85478i | − | 0.142918i | ||||||
\(400\) | −6.55180 | − | 37.1902i | −0.327590 | − | 1.85951i | ||||
\(401\) | − | 1.33382i | − | 0.0666076i | −0.999445 | − | 0.0333038i | \(-0.989397\pi\) | ||
0.999445 | − | 0.0333038i | \(-0.0106029\pi\) | |||||||
\(402\) | 10.1893 | + | 5.49351i | 0.508195 | + | 0.273991i | ||||
\(403\) | 16.1335i | 0.803669i | ||||||||
\(404\) | 6.84864 | − | 8.16063i | 0.340732 | − | 0.406006i | ||||
\(405\) | 3.80010i | 0.188828i | ||||||||
\(406\) | −0.653562 | + | 1.79543i | −0.0324357 | + | 0.0891059i | ||||
\(407\) | −1.09609 | −0.0543313 | ||||||||
\(408\) | 13.5754 | − | 7.83572i | 0.672085 | − | 0.387926i | ||||
\(409\) | 17.0811i | 0.844607i | 0.906454 | + | 0.422304i | \(0.138778\pi\) | ||||
−0.906454 | + | 0.422304i | \(0.861222\pi\) | |||||||
\(410\) | −10.7060 | + | 29.4110i | −0.528732 | + | 1.45251i | ||||
\(411\) | − | 0.648578i | − | 0.0319920i | ||||||
\(412\) | 2.33503 | − | 2.78236i | 0.115039 | − | 0.137077i | ||||
\(413\) | − | 2.36324i | − | 0.116288i | ||||||
\(414\) | −3.01308 | − | 1.09680i | −0.148085 | − | 0.0539048i | ||||
\(415\) | 62.8202 | 3.08372 | ||||||||
\(416\) | −4.54757 | + | 25.7619i | −0.222963 | + | 1.26308i | ||||
\(417\) | 15.1383 | 0.741328 | ||||||||
\(418\) | −2.55868 | − | 0.931392i | −0.125149 | − | 0.0455559i | ||||
\(419\) | − | 30.8172i | − | 1.50552i | −0.658295 | − | 0.752760i | \(-0.728722\pi\) | ||
0.658295 | − | 0.752760i | \(-0.271278\pi\) | |||||||
\(420\) | −2.46350 | + | 2.93543i | −0.120206 | + | 0.143234i | ||||
\(421\) | −10.1332 | −0.493861 | −0.246930 | − | 0.969033i | \(-0.579422\pi\) | ||||
−0.246930 | + | 0.969033i | \(0.579422\pi\) | |||||||
\(422\) | 10.9458 | + | 3.98443i | 0.532835 | + | 0.193959i | ||||
\(423\) | − | 4.07078i | − | 0.197928i | ||||||
\(424\) | 3.25351 | + | 5.63674i | 0.158005 | + | 0.273744i | ||||
\(425\) | 52.3185 | 2.53782 | ||||||||
\(426\) | −12.2400 | − | 4.45552i | −0.593029 | − | 0.215871i | ||||
\(427\) | 2.93339i | 0.141957i | ||||||||
\(428\) | −4.71332 | + | 5.61625i | −0.227827 | + | 0.271472i | ||||
\(429\) | − | 1.57266i | − | 0.0759288i | ||||||
\(430\) | 51.1758 | + | 18.6287i | 2.46792 | + | 0.898355i | ||||
\(431\) | − | 21.3334i | − | 1.02759i | −0.857912 | − | 0.513797i | \(-0.828238\pi\) | ||
0.857912 | − | 0.513797i | \(-0.171762\pi\) | |||||||
\(432\) | 0.693993 | + | 3.93934i | 0.0333898 | + | 0.189531i | ||||
\(433\) | 35.9047i | 1.72547i | 0.505655 | + | 0.862736i | \(0.331251\pi\) | ||||
−0.505655 | + | 0.862736i | \(0.668749\pi\) | |||||||
\(434\) | −0.850936 | + | 2.33765i | −0.0408462 | + | 0.112211i | ||||
\(435\) | 10.1824i | 0.488207i | ||||||||
\(436\) | −8.32490 | + | 9.91970i | −0.398691 | + | 0.475067i | ||||
\(437\) | 12.8371 | 0.614081 | ||||||||
\(438\) | 5.10456 | − | 14.0230i | 0.243905 | − | 0.670045i | ||||
\(439\) | − | 15.4552i | − | 0.737638i | −0.929501 | − | 0.368819i | \(-0.879762\pi\) | ||
0.929501 | − | 0.368819i | \(-0.120238\pi\) | |||||||
\(440\) | 1.82723 | + | 3.16569i | 0.0871098 | + | 0.150918i | ||||
\(441\) | −6.74576 | −0.321227 | ||||||||
\(442\) | −34.0573 | − | 12.3973i | −1.61994 | − | 0.589680i | ||||
\(443\) | −0.526859 | −0.0250318 | −0.0125159 | − | 0.999922i | \(-0.503984\pi\) | ||||
−0.0125159 | + | 0.999922i | \(0.503984\pi\) | |||||||
\(444\) | −4.93780 | − | 4.14395i | −0.234338 | − | 0.196663i | ||||
\(445\) | − | 35.6211i | − | 1.68860i | ||||||
\(446\) | −37.8938 | − | 13.7938i | −1.79432 | − | 0.653158i | ||||
\(447\) | −16.4646 | −0.778747 | ||||||||
\(448\) | −2.01768 | + | 3.49289i | −0.0953265 | + | 0.165023i | ||||
\(449\) | 8.56014 | 0.403978 | 0.201989 | − | 0.979388i | \(-0.435259\pi\) | ||||
0.201989 | + | 0.979388i | \(0.435259\pi\) | |||||||
\(450\) | −4.56686 | + | 12.5459i | −0.215284 | + | 0.591418i | ||||
\(451\) | − | 1.98057i | − | 0.0932613i | ||||||
\(452\) | 16.4611 | − | 19.6146i | 0.774267 | − | 0.922592i | ||||
\(453\) | − | 22.4874i | − | 1.05655i | ||||||
\(454\) | −30.0831 | − | 10.9506i | −1.41187 | − | 0.513939i | ||||
\(455\) | 8.86097 | 0.415409 | ||||||||
\(456\) | −8.00535 | − | 13.8693i | −0.374885 | − | 0.649490i | ||||
\(457\) | 38.8655 | 1.81805 | 0.909025 | − | 0.416741i | \(-0.136828\pi\) | ||||
0.909025 | + | 0.416741i | \(0.136828\pi\) | |||||||
\(458\) | 31.4704 | + | 11.4556i | 1.47051 | + | 0.535286i | ||||
\(459\) | −5.54179 | −0.258668 | ||||||||
\(460\) | −13.1998 | − | 11.0776i | −0.615443 | − | 0.516498i | ||||
\(461\) | 36.1291 | 1.68270 | 0.841350 | − | 0.540491i | \(-0.181761\pi\) | ||||
0.841350 | + | 0.540491i | \(0.181761\pi\) | |||||||
\(462\) | 0.0829473 | − | 0.227869i | 0.00385906 | − | 0.0106014i | ||||
\(463\) | 34.8790 | 1.62097 | 0.810483 | − | 0.585762i | \(-0.199205\pi\) | ||||
0.810483 | + | 0.585762i | \(0.199205\pi\) | |||||||
\(464\) | 1.85955 | + | 10.5555i | 0.0863277 | + | 0.490025i | ||||
\(465\) | 13.2574i | 0.614797i | ||||||||
\(466\) | −7.04163 | − | 2.56325i | −0.326197 | − | 0.118740i | ||||
\(467\) | − | 4.62628i | − | 0.214079i | −0.994255 | − | 0.107039i | \(-0.965863\pi\) | ||
0.994255 | − | 0.107039i | \(-0.0341371\pi\) | |||||||
\(468\) | 5.94570 | − | 7.08471i | 0.274840 | − | 0.327491i | ||||
\(469\) | 0.597855 | − | 4.08370i | 0.0276064 | − | 0.188568i | ||||
\(470\) | 7.48314 | − | 20.5573i | 0.345172 | − | 0.948239i | ||||
\(471\) | 4.28597 | 0.197487 | ||||||||
\(472\) | −6.62699 | − | 11.4813i | −0.305032 | − | 0.528471i | ||||
\(473\) | −3.44624 | −0.158458 | ||||||||
\(474\) | 4.63634 | − | 12.7367i | 0.212954 | − | 0.585017i | ||||
\(475\) | − | 53.4511i | − | 2.45250i | ||||||
\(476\) | −4.28082 | − | 3.59259i | −0.196211 | − | 0.164666i | ||||
\(477\) | − | 2.30104i | − | 0.105357i | ||||||
\(478\) | −1.12228 | + | 3.08307i | −0.0513317 | + | 0.141016i | ||||
\(479\) | − | 4.21394i | − | 0.192540i | −0.995355 | − | 0.0962700i | \(-0.969309\pi\) | ||
0.995355 | − | 0.0962700i | \(-0.0306912\pi\) | |||||||
\(480\) | −3.73687 | + | 21.1693i | −0.170564 | + | 0.966242i | ||||
\(481\) | 14.9054i | 0.679627i | ||||||||
\(482\) | −1.78812 | + | 4.91224i | −0.0814467 | + | 0.223747i | ||||
\(483\) | 1.14324i | 0.0520191i | ||||||||
\(484\) | 16.6747 | + | 13.9939i | 0.757942 | + | 0.636087i | ||||
\(485\) | 1.70925 | 0.0776132 | ||||||||
\(486\) | 0.483740 | − | 1.32891i | 0.0219429 | − | 0.0602805i | ||||
\(487\) | −19.4897 | −0.883161 | −0.441580 | − | 0.897222i | \(-0.645582\pi\) | ||||
−0.441580 | + | 0.897222i | \(0.645582\pi\) | |||||||
\(488\) | 8.22578 | + | 14.2512i | 0.372364 | + | 0.645123i | ||||
\(489\) | 1.28405i | 0.0580665i | ||||||||
\(490\) | −34.0659 | − | 12.4005i | −1.53894 | − | 0.560195i | ||||
\(491\) | 10.2182i | 0.461142i | 0.973055 | + | 0.230571i | \(0.0740594\pi\) | ||||
−0.973055 | + | 0.230571i | \(0.925941\pi\) | |||||||
\(492\) | 7.48786 | − | 8.92230i | 0.337579 | − | 0.402248i | ||||
\(493\) | −14.8492 | −0.668775 | ||||||||
\(494\) | −12.6657 | + | 34.7946i | −0.569856 | + | 1.56548i | ||||
\(495\) | − | 1.29230i | − | 0.0580847i | ||||||
\(496\) | 2.42113 | + | 13.7432i | 0.108712 | + | 0.617086i | ||||
\(497\) | 4.64416i | 0.208319i | ||||||||
\(498\) | −21.9684 | − | 7.99681i | −0.984429 | − | 0.358345i | ||||
\(499\) | −38.0177 | −1.70191 | −0.850954 | − | 0.525241i | \(-0.823975\pi\) | ||||
−0.850954 | + | 0.525241i | \(0.823975\pi\) | |||||||
\(500\) | −21.6963 | + | 25.8527i | −0.970289 | + | 1.15617i | ||||
\(501\) | − | 2.23120i | − | 0.0996825i | ||||||
\(502\) | −2.84066 | + | 7.80374i | −0.126785 | + | 0.348298i | ||||
\(503\) | 22.0210 | 0.981867 | 0.490933 | − | 0.871197i | \(-0.336656\pi\) | ||||
0.490933 | + | 0.871197i | \(0.336656\pi\) | |||||||
\(504\) | 1.23517 | − | 0.712935i | 0.0550187 | − | 0.0317567i | ||||
\(505\) | −20.2424 | −0.900775 | ||||||||
\(506\) | 1.02466 | + | 0.372990i | 0.0455517 | + | 0.0165814i | ||||
\(507\) | −8.38610 | −0.372440 | ||||||||
\(508\) | 16.7387 | − | 19.9453i | 0.742660 | − | 0.884932i | ||||
\(509\) | −13.9675 | −0.619099 | −0.309550 | − | 0.950883i | \(-0.600178\pi\) | ||||
−0.309550 | + | 0.950883i | \(0.600178\pi\) | |||||||
\(510\) | −27.9859 | − | 10.1872i | −1.23924 | − | 0.451099i | ||||
\(511\) | −5.32068 | −0.235373 | ||||||||
\(512\) | −0.00774800 | + | 22.6274i | −0.000342417 | + | 1.00000i | ||||
\(513\) | 5.66175i | 0.249973i | ||||||||
\(514\) | 9.57638 | − | 26.3078i | 0.422396 | − | 1.16039i | ||||
\(515\) | −6.90162 | −0.304122 | ||||||||
\(516\) | −15.5250 | − | 13.0290i | −0.683450 | − | 0.573571i | ||||
\(517\) | 1.38435i | 0.0608838i | ||||||||
\(518\) | −0.786159 | + | 2.15970i | −0.0345419 | + | 0.0948918i | ||||
\(519\) | 8.76686 | 0.384823 | ||||||||
\(520\) | 43.0492 | − | 24.8479i | 1.88783 | − | 1.08965i | ||||
\(521\) | 24.9200i | 1.09177i | 0.837862 | + | 0.545883i | \(0.183806\pi\) | ||||
−0.837862 | + | 0.545883i | \(0.816194\pi\) | |||||||
\(522\) | 1.29618 | − | 3.56081i | 0.0567323 | − | 0.155852i | ||||
\(523\) | − | 40.3900i | − | 1.76613i | −0.469248 | − | 0.883066i | \(-0.655475\pi\) | ||
0.469248 | − | 0.883066i | \(-0.344525\pi\) | |||||||
\(524\) | 24.4063 | − | 29.0818i | 1.06619 | − | 1.27044i | ||||
\(525\) | 4.76022 | 0.207753 | ||||||||
\(526\) | 30.2630 | + | 11.0161i | 1.31953 | + | 0.480326i | ||||
\(527\) | −19.3336 | −0.842187 | ||||||||
\(528\) | −0.236007 | − | 1.33965i | −0.0102709 | − | 0.0583009i | ||||
\(529\) | 17.8592 | 0.776487 | ||||||||
\(530\) | 4.22990 | − | 11.6202i | 0.183735 | − | 0.504748i | ||||
\(531\) | 4.68692i | 0.203395i | ||||||||
\(532\) | −3.67036 | + | 4.37349i | −0.159130 | + | 0.189615i | ||||
\(533\) | −26.9331 | −1.16660 | ||||||||
\(534\) | −4.53445 | + | 12.4568i | −0.196225 | + | 0.539060i | ||||
\(535\) | 13.9311 | 0.602293 | ||||||||
\(536\) | −8.54693 | − | 21.5163i | −0.369171 | − | 0.929361i | ||||
\(537\) | −18.6985 | −0.806899 | ||||||||
\(538\) | 12.2205 | − | 33.5716i | 0.526863 | − | 1.44737i | ||||
\(539\) | 2.29404 | 0.0988112 | ||||||||
\(540\) | 4.88575 | − | 5.82171i | 0.210249 | − | 0.250527i | ||||
\(541\) | − | 10.9995i | − | 0.472906i | −0.971643 | − | 0.236453i | \(-0.924015\pi\) | ||
0.971643 | − | 0.236453i | \(-0.0759849\pi\) | |||||||
\(542\) | −13.6256 | + | 37.4316i | −0.585269 | + | 1.60782i | ||||
\(543\) | 15.0472 | 0.645738 | ||||||||
\(544\) | −30.8718 | − | 5.44958i | −1.32362 | − | 0.233649i | ||||
\(545\) | 24.6058 | 1.05400 | ||||||||
\(546\) | −3.09871 | − | 1.12797i | −0.132613 | − | 0.0482728i | ||||
\(547\) | 27.1656 | 1.16152 | 0.580758 | − | 0.814077i | \(-0.302756\pi\) | ||||
0.580758 | + | 0.814077i | \(0.302756\pi\) | |||||||
\(548\) | −0.833871 | + | 0.993616i | −0.0356212 | + | 0.0424452i | ||||
\(549\) | − | 5.81766i | − | 0.248292i | ||||||
\(550\) | 1.55306 | − | 4.26648i | 0.0662225 | − | 0.181923i | ||||
\(551\) | 15.1707i | 0.646292i | ||||||||
\(552\) | 3.20586 | + | 5.55418i | 0.136451 | + | 0.236402i | ||||
\(553\) | −4.83263 | −0.205504 | ||||||||
\(554\) | −5.37520 | + | 14.7665i | −0.228370 | + | 0.627368i | ||||
\(555\) | 12.2482i | 0.519907i | ||||||||
\(556\) | −23.1918 | − | 19.4632i | −0.983552 | − | 0.825425i | ||||
\(557\) | −26.7154 | −1.13197 | −0.565984 | − | 0.824416i | \(-0.691504\pi\) | ||||
−0.565984 | + | 0.824416i | \(0.691504\pi\) | |||||||
\(558\) | 1.68762 | − | 4.63616i | 0.0714428 | − | 0.196264i | ||||
\(559\) | 46.8642i | 1.98214i | ||||||||
\(560\) | 7.54812 | − | 1.32975i | 0.318966 | − | 0.0561923i | ||||
\(561\) | 1.88460 | 0.0795679 | ||||||||
\(562\) | −23.5728 | − | 8.58081i | −0.994358 | − | 0.361959i | ||||
\(563\) | 4.60311 | 0.193998 | 0.0969989 | − | 0.995284i | \(-0.469076\pi\) | ||||
0.0969989 | + | 0.995284i | \(0.469076\pi\) | |||||||
\(564\) | −5.23377 | + | 6.23640i | −0.220381 | + | 0.262600i | ||||
\(565\) | −48.6539 | −2.04688 | ||||||||
\(566\) | 1.48263 | + | 0.539698i | 0.0623197 | + | 0.0226852i | ||||
\(567\) | −0.504221 | −0.0211753 | ||||||||
\(568\) | 13.0231 | + | 22.5627i | 0.546438 | + | 0.946708i | ||||
\(569\) | −26.9989 | −1.13185 | −0.565927 | − | 0.824456i | \(-0.691481\pi\) | ||||
−0.565927 | + | 0.824456i | \(0.691481\pi\) | |||||||
\(570\) | −10.4078 | + | 28.5917i | −0.435933 | + | 1.19758i | ||||
\(571\) | 42.5338i | 1.77998i | 0.455978 | + | 0.889991i | \(0.349290\pi\) | ||||
−0.455978 | + | 0.889991i | \(0.650710\pi\) | |||||||
\(572\) | −2.02196 | + | 2.40930i | −0.0845423 | + | 0.100738i | ||||
\(573\) | 15.4232 | 0.644315 | ||||||||
\(574\) | −3.90244 | − | 1.42054i | −0.162885 | − | 0.0592922i | ||||
\(575\) | 21.4053i | 0.892663i | ||||||||
\(576\) | 4.00158 | − | 6.92729i | 0.166733 | − | 0.288637i | ||||
\(577\) | − | 20.8087i | − | 0.866278i | −0.901327 | − | 0.433139i | \(-0.857406\pi\) | ||
0.901327 | − | 0.433139i | \(-0.142594\pi\) | |||||||
\(578\) | 6.63276 | − | 18.2212i | 0.275886 | − | 0.757902i | ||||
\(579\) | 20.7634 | 0.862897 | ||||||||
\(580\) | 13.0914 | − | 15.5993i | 0.543590 | − | 0.647725i | ||||
\(581\) | 8.33538i | 0.345810i | ||||||||
\(582\) | −0.597733 | − | 0.217583i | −0.0247768 | − | 0.00901909i | ||||
\(583\) | 0.782516i | 0.0324085i | ||||||||
\(584\) | −25.8494 | + | 14.9202i | −1.06966 | + | 0.617403i | ||||
\(585\) | −17.5736 | −0.726578 | ||||||||
\(586\) | 6.82408 | − | 18.7468i | 0.281900 | − | 0.774422i | ||||
\(587\) | −22.3079 | −0.920746 | −0.460373 | − | 0.887726i | \(-0.652284\pi\) | ||||
−0.460373 | + | 0.887726i | \(0.652284\pi\) | |||||||
\(588\) | 10.3344 | + | 8.67297i | 0.426185 | + | 0.357667i | ||||
\(589\) | 19.7522i | 0.813874i | ||||||||
\(590\) | −8.61577 | + | 23.6688i | −0.354706 | + | 0.974431i | ||||
\(591\) | 19.2813i | 0.793128i | ||||||||
\(592\) | 2.23683 | + | 12.6970i | 0.0919331 | + | 0.521843i | ||||
\(593\) | 16.7245i | 0.686791i | 0.939191 | + | 0.343396i | \(0.111577\pi\) | ||||
−0.939191 | + | 0.343396i | \(0.888423\pi\) | |||||||
\(594\) | −0.164506 | + | 0.451923i | −0.00674976 | + | 0.0185426i | ||||
\(595\) | 10.6186i | 0.435318i | ||||||||
\(596\) | 25.2235 | + | 21.1683i | 1.03320 | + | 0.867089i | ||||
\(597\) | 3.70408i | 0.151598i | ||||||||
\(598\) | 5.07217 | − | 13.9340i | 0.207416 | − | 0.569804i | ||||
\(599\) | 34.0386 | 1.39078 | 0.695391 | − | 0.718632i | \(-0.255231\pi\) | ||||
0.695391 | + | 0.718632i | \(0.255231\pi\) | |||||||
\(600\) | 23.1265 | − | 13.3486i | 0.944135 | − | 0.544953i | ||||
\(601\) | −20.8952 | −0.852334 | −0.426167 | − | 0.904645i | \(-0.640136\pi\) | ||||
−0.426167 | + | 0.904645i | \(0.640136\pi\) | |||||||
\(602\) | −2.47177 | + | 6.79034i | −0.100742 | + | 0.276753i | ||||
\(603\) | −1.18570 | + | 8.09902i | −0.0482854 | + | 0.329818i | ||||
\(604\) | −28.9118 | + | 34.4504i | −1.17641 | + | 1.40177i | ||||
\(605\) | − | 41.3616i | − | 1.68159i | ||||||
\(606\) | 7.07884 | + | 2.57679i | 0.287558 | + | 0.104675i | ||||
\(607\) | − | 17.6228i | − | 0.715286i | −0.933858 | − | 0.357643i | \(-0.883580\pi\) | ||
0.933858 | − | 0.357643i | \(-0.116420\pi\) | |||||||
\(608\) | −5.56755 | + | 31.5401i | −0.225794 | + | 1.27912i | ||||
\(609\) | −1.35106 | −0.0547477 | ||||||||
\(610\) | 10.6944 | − | 29.3790i | 0.433002 | − | 1.18952i | ||||
\(611\) | 18.8254 | 0.761592 | ||||||||
\(612\) | 8.48997 | + | 7.12503i | 0.343187 | + | 0.288012i | ||||
\(613\) | −11.6404 | −0.470150 | −0.235075 | − | 0.971977i | \(-0.575534\pi\) | ||||
−0.235075 | + | 0.971977i | \(0.575534\pi\) | |||||||
\(614\) | −12.2563 | − | 4.46146i | −0.494624 | − | 0.180050i | ||||
\(615\) | −22.1317 | −0.892437 | ||||||||
\(616\) | −0.420044 | + | 0.242449i | −0.0169241 | + | 0.00976853i | ||||
\(617\) | −24.5113 | −0.986789 | −0.493395 | − | 0.869806i | \(-0.664244\pi\) | ||||
−0.493395 | + | 0.869806i | \(0.664244\pi\) | |||||||
\(618\) | 2.41352 | + | 0.878554i | 0.0970861 | + | 0.0353406i | ||||
\(619\) | 12.3130i | 0.494903i | 0.968900 | + | 0.247452i | \(0.0795931\pi\) | ||||
−0.968900 | + | 0.247452i | \(0.920407\pi\) | |||||||
\(620\) | 17.0449 | − | 20.3102i | 0.684541 | − | 0.815678i | ||||
\(621\) | − | 2.26733i | − | 0.0909850i | ||||||
\(622\) | 6.00148 | − | 16.4870i | 0.240637 | − | 0.661068i | ||||
\(623\) | 4.72644 | 0.189361 | ||||||||
\(624\) | −18.2175 | + | 3.20938i | −0.729284 | + | 0.128478i | ||||
\(625\) | 16.9238 | 0.676950 | ||||||||
\(626\) | 32.8984 | + | 11.9755i | 1.31489 | + | 0.478636i | ||||
\(627\) | − | 1.92540i | − | 0.0768930i | ||||||
\(628\) | −6.56607 | − | 5.51044i | −0.262015 | − | 0.219890i | ||||
\(629\) | −17.8619 | −0.712200 | ||||||||
\(630\) | −2.54631 | − | 0.926889i | −0.101447 | − | 0.0369281i | ||||
\(631\) | −44.6443 | −1.77726 | −0.888632 | − | 0.458622i | \(-0.848343\pi\) | ||||
−0.888632 | + | 0.458622i | \(0.848343\pi\) | |||||||
\(632\) | −23.4783 | + | 13.5516i | −0.933918 | + | 0.539055i | ||||
\(633\) | 8.23671i | 0.327380i | ||||||||
\(634\) | −4.63474 | + | 12.7323i | −0.184069 | + | 0.505666i | ||||
\(635\) | −49.4743 | −1.96333 | ||||||||
\(636\) | −2.95842 | + | 3.52517i | −0.117309 | + | 0.139782i | ||||
\(637\) | − | 31.1958i | − | 1.23602i | ||||||
\(638\) | −0.440794 | + | 1.21093i | −0.0174512 | + | 0.0479411i | ||||
\(639\) | − | 9.21056i | − | 0.364364i | ||||||
\(640\) | 32.9420 | − | 27.6267i | 1.30215 | − | 1.09204i | ||||
\(641\) | 21.8812i | 0.864257i | 0.901812 | + | 0.432129i | \(0.142237\pi\) | ||||
−0.901812 | + | 0.432129i | \(0.857763\pi\) | |||||||
\(642\) | −4.87175 | − | 1.77338i | −0.192273 | − | 0.0699898i | ||||
\(643\) | 0.844350i | 0.0332979i | 0.999861 | + | 0.0166490i | \(0.00529977\pi\) | ||||
−0.999861 | + | 0.0166490i | \(0.994700\pi\) | |||||||
\(644\) | 1.46985 | − | 1.75143i | 0.0579203 | − | 0.0690160i | ||||
\(645\) | 38.5097i | 1.51632i | ||||||||
\(646\) | −41.6961 | − | 15.1779i | −1.64051 | − | 0.597168i | ||||
\(647\) | 38.2100 | 1.50219 | 0.751095 | − | 0.660194i | \(-0.229526\pi\) | ||||
0.751095 | + | 0.660194i | \(0.229526\pi\) | |||||||
\(648\) | −2.44965 | + | 1.41393i | −0.0962314 | + | 0.0555446i | ||||
\(649\) | − | 1.59388i | − | 0.0625654i | ||||||
\(650\) | −58.0185 | − | 21.1195i | −2.27567 | − | 0.828375i | ||||
\(651\) | −1.75908 | −0.0689437 | ||||||||
\(652\) | 1.65089 | − | 1.96715i | 0.0646537 | − | 0.0770394i | ||||
\(653\) | − | 7.95949i | − | 0.311479i | −0.987798 | − | 0.155740i | \(-0.950224\pi\) | ||
0.987798 | − | 0.155740i | \(-0.0497761\pi\) | |||||||
\(654\) | −8.60473 | − | 3.13224i | −0.336471 | − | 0.122480i | ||||
\(655\) | −72.1372 | −2.81863 | ||||||||
\(656\) | −22.9427 | + | 4.04181i | −0.895760 | + | 0.157806i | ||||
\(657\) | 10.5523 | 0.411684 | ||||||||
\(658\) | 2.72768 | + | 0.992911i | 0.106336 | + | 0.0387077i | ||||
\(659\) | − | 1.09591i | − | 0.0426905i | −0.999772 | − | 0.0213453i | \(-0.993205\pi\) | ||
0.999772 | − | 0.0213453i | \(-0.00679493\pi\) | |||||||
\(660\) | −1.66150 | + | 1.97980i | −0.0646739 | + | 0.0770634i | ||||
\(661\) | 8.08616i | 0.314515i | 0.987558 | + | 0.157258i | \(0.0502653\pi\) | ||||
−0.987558 | + | 0.157258i | \(0.949735\pi\) | |||||||
\(662\) | −2.85652 | + | 7.84728i | −0.111022 | + | 0.304993i | ||||
\(663\) | − | 25.6281i | − | 0.995311i | ||||||
\(664\) | 23.3740 | + | 40.4957i | 0.907088 | + | 1.57154i | ||||
\(665\) | 10.8484 | 0.420684 | ||||||||
\(666\) | 1.55916 | − | 4.28324i | 0.0604161 | − | 0.165972i | ||||
\(667\) | − | 6.07532i | − | 0.235237i | ||||||
\(668\) | −2.86863 | + | 3.41817i | −0.110991 | + | 0.132253i | ||||
\(669\) | − | 28.5150i | − | 1.10245i | ||||||
\(670\) | −20.8759 | + | 38.7202i | −0.806505 | + | 1.49589i | ||||
\(671\) | 1.97842i | 0.0763759i | ||||||||
\(672\) | −2.80888 | − | 0.495832i | −0.108355 | − | 0.0191271i | ||||
\(673\) | 21.3833i | 0.824264i | 0.911124 | + | 0.412132i | \(0.135216\pi\) | ||||
−0.911124 | + | 0.412132i | \(0.864784\pi\) | |||||||
\(674\) | −40.2948 | − | 14.6678i | −1.55210 | − | 0.564984i | ||||
\(675\) | −9.44073 | −0.363374 | ||||||||
\(676\) | 12.8474 | + | 10.7819i | 0.494132 | + | 0.414690i | ||||
\(677\) | − | 35.4808i | − | 1.36364i | −0.731520 | − | 0.681820i | \(-0.761189\pi\) | ||
0.731520 | − | 0.681820i | \(-0.238811\pi\) | |||||||
\(678\) | 17.0144 | + | 6.19348i | 0.653436 | + | 0.237859i | ||||
\(679\) | 0.226795i | 0.00870359i | ||||||||
\(680\) | 29.7765 | + | 51.5880i | 1.14188 | + | 1.97831i | ||||
\(681\) | − | 22.6375i | − | 0.867470i | ||||||
\(682\) | −0.573912 | + | 1.57662i | −0.0219762 | + | 0.0603720i | ||||
\(683\) | 1.55508 | 0.0595035 | 0.0297518 | − | 0.999557i | \(-0.490528\pi\) | ||||
0.0297518 | + | 0.999557i | \(0.490528\pi\) | |||||||
\(684\) | 7.27927 | − | 8.67376i | 0.278330 | − | 0.331649i | ||||
\(685\) | 2.46466 | 0.0941698 | ||||||||
\(686\) | 3.35276 | − | 9.21053i | 0.128009 | − | 0.351660i | ||||
\(687\) | 23.6814i | 0.903501i | ||||||||
\(688\) | 7.03284 | + | 39.9207i | 0.268125 | + | 1.52196i | ||||
\(689\) | 10.6412 | 0.405396 | ||||||||
\(690\) | 4.16795 | − | 11.4500i | 0.158671 | − | 0.435894i | ||||
\(691\) | − | 11.1474i | − | 0.424069i | −0.977262 | − | 0.212034i | \(-0.931991\pi\) | ||
0.977262 | − | 0.212034i | \(-0.0680089\pi\) | |||||||
\(692\) | −13.4308 | − | 11.2715i | −0.510561 | − | 0.428477i | ||||
\(693\) | 0.171471 | 0.00651364 | ||||||||
\(694\) | −12.2971 | + | 33.7820i | −0.466791 | + | 1.28235i | ||||
\(695\) | 57.5272i | 2.18213i | ||||||||
\(696\) | −6.56384 | + | 3.78864i | −0.248802 | + | 0.143608i | ||||
\(697\) | − | 32.2753i | − | 1.22251i | ||||||
\(698\) | 13.6598 | − | 37.5255i | 0.517030 | − | 1.42036i | ||||
\(699\) | − | 5.29881i | − | 0.200419i | ||||||
\(700\) | −7.29261 | − | 6.12017i | −0.275635 | − | 0.231321i | ||||
\(701\) | − | 25.9270i | − | 0.979248i | −0.871934 | − | 0.489624i | \(-0.837134\pi\) | ||
0.871934 | − | 0.489624i | \(-0.162866\pi\) | |||||||
\(702\) | 6.14555 | + | 2.23706i | 0.231949 | + | 0.0844324i | ||||
\(703\) | 18.2486i | 0.688257i | ||||||||
\(704\) | −1.36082 | + | 2.35577i | −0.0512879 | + | 0.0887864i | ||||
\(705\) | 15.4693 | 0.582609 | ||||||||
\(706\) | 4.27698 | + | 1.55688i | 0.160966 | + | 0.0585939i | ||||
\(707\) | − | 2.68589i | − | 0.101013i | ||||||
\(708\) | 6.02593 | − | 7.18032i | 0.226468 | − | 0.269853i | ||||
\(709\) | −28.4463 | −1.06832 | −0.534162 | − | 0.845382i | \(-0.679373\pi\) | ||||
−0.534162 | + | 0.845382i | \(0.679373\pi\) | |||||||
\(710\) | 16.9314 | − | 46.5131i | 0.635424 | − | 1.74561i | ||||
\(711\) | 9.58435 | 0.359441 | ||||||||
\(712\) | 22.9624 | − | 13.2538i | 0.860552 | − | 0.496709i | ||||
\(713\) | − | 7.91005i | − | 0.296234i | ||||||
\(714\) | 1.35171 | − | 3.71335i | 0.0505864 | − | 0.138969i | ||||
\(715\) | 5.97626 | 0.223500 | ||||||||
\(716\) | 28.6459 | + | 24.0405i | 1.07055 | + | 0.898435i | ||||
\(717\) | −2.32000 | −0.0866420 | ||||||||
\(718\) | −13.6323 | − | 4.96233i | −0.508752 | − | 0.185193i | ||||
\(719\) | − | 19.2378i | − | 0.717449i | −0.933444 | − | 0.358724i | \(-0.883212\pi\) | ||
0.933444 | − | 0.358724i | \(-0.116788\pi\) | |||||||
\(720\) | −14.9699 | + | 2.63724i | −0.557894 | + | 0.0982842i | ||||
\(721\) | − | 0.915751i | − | 0.0341044i | ||||||
\(722\) | −6.31544 | + | 17.3495i | −0.235036 | + | 0.645681i | ||||
\(723\) | −3.69645 | −0.137473 | ||||||||
\(724\) | −23.0522 | − | 19.3461i | −0.856728 | − | 0.718991i | ||||
\(725\) | −25.2964 | −0.939486 | ||||||||
\(726\) | −5.26520 | + | 14.4643i | −0.195410 | + | 0.536820i | ||||
\(727\) | 14.4119 | 0.534506 | 0.267253 | − | 0.963626i | \(-0.413884\pi\) | ||||
0.267253 | + | 0.963626i | \(0.413884\pi\) | |||||||
\(728\) | 3.29698 | + | 5.71204i | 0.122194 | + | 0.211702i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 53.2888 | + | 19.3978i | 1.97231 | + | 0.717945i | ||||
\(731\) | −56.1598 | −2.07714 | ||||||||
\(732\) | −7.47972 | + | 8.91260i | −0.276458 | + | 0.329419i | ||||
\(733\) | − | 34.5142i | − | 1.27481i | −0.770528 | − | 0.637406i | \(-0.780008\pi\) | ||
0.770528 | − | 0.637406i | \(-0.219992\pi\) | |||||||
\(734\) | −5.04666 | + | 13.8640i | −0.186276 | + | 0.511728i | ||||
\(735\) | − | 25.6345i | − | 0.945544i | ||||||
\(736\) | 2.22961 | − | 12.6307i | 0.0821846 | − | 0.465574i | ||||
\(737\) | 0.403222 | − | 2.75424i | 0.0148529 | − | 0.101454i | ||||
\(738\) | 7.73954 | + | 2.81730i | 0.284897 | + | 0.103706i | ||||
\(739\) | −38.1448 | −1.40318 | −0.701589 | − | 0.712582i | \(-0.747526\pi\) | ||||
−0.701589 | + | 0.712582i | \(0.747526\pi\) | |||||||
\(740\) | 15.7474 | − | 18.7641i | 0.578886 | − | 0.689783i | ||||
\(741\) | −26.1828 | −0.961851 | ||||||||
\(742\) | 1.54184 | + | 0.561250i | 0.0566027 | + | 0.0206042i | ||||
\(743\) | 3.37379i | 0.123772i | 0.998083 | + | 0.0618862i | \(0.0197116\pi\) | ||||
−0.998083 | + | 0.0618862i | \(0.980288\pi\) | |||||||
\(744\) | −8.54610 | + | 4.93279i | −0.313315 | + | 0.180845i | ||||
\(745\) | − | 62.5669i | − | 2.29227i | ||||||
\(746\) | 25.1163 | + | 9.14267i | 0.919573 | + | 0.334737i | ||||
\(747\) | − | 16.5312i | − | 0.604845i | ||||||
\(748\) | −2.88719 | − | 2.42302i | −0.105566 | − | 0.0885942i | ||||
\(749\) | 1.84846i | 0.0675414i | ||||||||
\(750\) | −22.4256 | − | 8.16321i | −0.818867 | − | 0.298078i | ||||
\(751\) | − | 15.4907i | − | 0.565265i | −0.959228 | − | 0.282632i | \(-0.908792\pi\) | ||
0.959228 | − | 0.282632i | \(-0.0912076\pi\) | |||||||
\(752\) | 16.0362 | − | 2.82509i | 0.584779 | − | 0.103021i | ||||
\(753\) | −5.87230 | −0.213998 | ||||||||
\(754\) | 16.4670 | + | 5.99420i | 0.599693 | + | 0.218296i | ||||
\(755\) | 85.4541 | 3.10999 | ||||||||
\(756\) | 0.772462 | + | 0.648273i | 0.0280942 | + | 0.0235775i | ||||
\(757\) | 1.49878i | 0.0544739i | 0.999629 | + | 0.0272370i | \(0.00867086\pi\) | ||||
−0.999629 | + | 0.0272370i | \(0.991329\pi\) | |||||||
\(758\) | 18.0109 | − | 49.4787i | 0.654185 | − | 1.79715i | ||||
\(759\) | 0.771055i | 0.0279875i | ||||||||
\(760\) | 52.7048 | − | 30.4211i | 1.91180 | − | 1.10349i | ||||
\(761\) | −29.5458 | −1.07103 | −0.535517 | − | 0.844524i | \(-0.679883\pi\) | ||||
−0.535517 | + | 0.844524i | \(0.679883\pi\) | |||||||
\(762\) | 17.3014 | + | 6.29792i | 0.626762 | + | 0.228150i | ||||
\(763\) | 3.26485i | 0.118196i | ||||||||
\(764\) | −23.6282 | − | 19.8295i | −0.854840 | − | 0.717407i | ||||
\(765\) | − | 21.0593i | − | 0.761401i | ||||||
\(766\) | 13.4811 | − | 37.0347i | 0.487093 | − | 1.33812i | ||||
\(767\) | −21.6747 | −0.782628 | ||||||||
\(768\) | −15.0367 | + | 5.46775i | −0.542592 | + | 0.197300i | ||||
\(769\) | 22.9587i | 0.827914i | 0.910297 | + | 0.413957i | \(0.135854\pi\) | ||||
−0.910297 | + | 0.413957i | \(0.864146\pi\) | |||||||
\(770\) | 0.865924 | + | 0.315208i | 0.0312057 | + | 0.0113593i | ||||
\(771\) | 19.7965 | 0.712955 | ||||||||
\(772\) | −31.8093 | − | 26.6953i | −1.14484 | − | 0.960786i | ||||
\(773\) | −22.3753 | −0.804784 | −0.402392 | − | 0.915468i | \(-0.631821\pi\) | ||||
−0.402392 | + | 0.915468i | \(0.631821\pi\) | |||||||
\(774\) | 4.90216 | − | 13.4670i | 0.176205 | − | 0.484061i | ||||
\(775\) | −32.9359 | −1.18309 | ||||||||
\(776\) | 0.635977 | + | 1.10183i | 0.0228302 | + | 0.0395535i | ||||
\(777\) | −1.62517 | −0.0583026 | ||||||||
\(778\) | −15.3606 | + | 42.1978i | −0.550703 | + | 1.51287i | ||||
\(779\) | −32.9740 | −1.18142 | ||||||||
\(780\) | 26.9226 | + | 22.5942i | 0.963983 | + | 0.809003i | ||||
\(781\) | 3.13224i | 0.112080i | ||||||||
\(782\) | 16.6978 | + | 6.07824i | 0.597114 | + | 0.217357i | ||||
\(783\) | 2.67950 | 0.0957575 | ||||||||
\(784\) | −4.68151 | − | 26.5738i | −0.167197 | − | 0.949065i | ||||
\(785\) | 16.2871i | 0.581312i | ||||||||
\(786\) | 25.2266 | + | 9.18283i | 0.899804 | + | 0.327541i | ||||
\(787\) | −39.1227 | −1.39457 | −0.697287 | − | 0.716792i | \(-0.745610\pi\) | ||||
−0.697287 | + | 0.716792i | \(0.745610\pi\) | |||||||
\(788\) | 24.7899 | − | 29.5388i | 0.883102 | − | 1.05228i | ||||
\(789\) | 22.7728i | 0.810734i | ||||||||
\(790\) | 48.4008 | + | 17.6185i | 1.72202 | + | 0.626839i | ||||
\(791\) | − | 6.45571i | − | 0.229539i | ||||||
\(792\) | 0.833055 | − | 0.480838i | 0.0296013 | − | 0.0170858i | ||||
\(793\) | 26.9038 | 0.955383 | ||||||||
\(794\) | 14.7955 | − | 40.6455i | 0.525073 | − | 1.44246i | ||||
\(795\) | 8.74416 | 0.310123 | ||||||||
\(796\) | 4.76231 | − | 5.67462i | 0.168795 | − | 0.201132i | ||||
\(797\) | −0.464601 | −0.0164570 | −0.00822850 | − | 0.999966i | \(-0.502619\pi\) | ||||
−0.00822850 | + | 0.999966i | \(0.502619\pi\) | |||||||
\(798\) | −3.79373 | − | 1.38097i | −0.134297 | − | 0.0488858i | ||||
\(799\) | 22.5594i | 0.798094i | ||||||||
\(800\) | −52.5917 | − | 9.28366i | −1.85940 | − | 0.328227i | ||||
\(801\) | −9.37374 | −0.331205 | ||||||||
\(802\) | −1.77252 | − | 0.645221i | −0.0625898 | − | 0.0227835i | ||||
\(803\) | −3.58852 | −0.126636 | ||||||||
\(804\) | 12.2293 | − | 10.8832i | 0.431295 | − | 0.383820i | ||||
\(805\) | −4.34442 | −0.153121 | ||||||||
\(806\) | 21.4400 | + | 7.80444i | 0.755191 | + | 0.274900i | ||||
\(807\) | 25.2625 | 0.889284 | ||||||||
\(808\) | −7.53176 | − | 13.0488i | −0.264966 | − | 0.459056i | ||||
\(809\) | − | 40.9908i | − | 1.44116i | −0.693373 | − | 0.720579i | \(-0.743876\pi\) | ||
0.693373 | − | 0.720579i | \(-0.256124\pi\) | |||||||
\(810\) | 5.04998 | + | 1.83826i | 0.177438 | + | 0.0645898i | ||||
\(811\) | 38.6909 | 1.35862 | 0.679310 | − | 0.733851i | \(-0.262279\pi\) | ||||
0.679310 | + | 0.733851i | \(0.262279\pi\) | |||||||
\(812\) | 2.06981 | + | 1.73705i | 0.0726362 | + | 0.0609584i | ||||
\(813\) | −28.1672 | −0.987866 | ||||||||
\(814\) | −0.530224 | + | 1.45660i | −0.0185843 | + | 0.0510540i | ||||
\(815\) | −4.87950 | −0.170921 | ||||||||
\(816\) | −3.84596 | − | 21.8310i | −0.134636 | − | 0.764237i | ||||
\(817\) | 57.3755i | 2.00731i | ||||||||
\(818\) | 22.6992 | + | 8.26283i | 0.793660 | + | 0.288903i | ||||
\(819\) | − | 2.33178i | − | 0.0814788i | ||||||
\(820\) | 33.9056 | + | 28.4546i | 1.18403 | + | 0.993677i | ||||
\(821\) | 45.8043 | 1.59858 | 0.799290 | − | 0.600946i | \(-0.205209\pi\) | ||||
0.799290 | + | 0.600946i | \(0.205209\pi\) | |||||||
\(822\) | −0.861900 | − | 0.313743i | −0.0300622 | − | 0.0109430i | ||||
\(823\) | 11.9886i | 0.417898i | 0.977927 | + | 0.208949i | \(0.0670042\pi\) | ||||
−0.977927 | + | 0.208949i | \(0.932996\pi\) | |||||||
\(824\) | −2.56794 | − | 4.44898i | −0.0894586 | − | 0.154988i | ||||
\(825\) | 3.21052 | 0.111776 | ||||||||
\(826\) | −3.14053 | − | 1.14320i | −0.109273 | − | 0.0397769i | ||||
\(827\) | − | 26.6854i | − | 0.927944i | −0.885850 | − | 0.463972i | \(-0.846424\pi\) | ||
0.885850 | − | 0.463972i | \(-0.153576\pi\) | |||||||
\(828\) | −2.91509 | + | 3.47354i | −0.101307 | + | 0.120714i | ||||
\(829\) | 7.27045 | 0.252513 | 0.126257 | − | 0.991998i | \(-0.459704\pi\) | ||||
0.126257 | + | 0.991998i | \(0.459704\pi\) | |||||||
\(830\) | 30.3886 | − | 83.4822i | 1.05480 | − | 2.89771i | ||||
\(831\) | −11.1117 | −0.385462 | ||||||||
\(832\) | 32.0353 | + | 18.5054i | 1.11063 | + | 0.641558i | ||||
\(833\) | 37.3836 | 1.29526 | ||||||||
\(834\) | 7.32302 | − | 20.1175i | 0.253576 | − | 0.696611i | ||||
\(835\) | 8.47876 | 0.293419 | ||||||||
\(836\) | −2.47547 | + | 2.94969i | −0.0856158 | + | 0.102017i | ||||
\(837\) | 3.48870 | 0.120587 | ||||||||
\(838\) | −40.9532 | − | 14.9075i | −1.41471 | − | 0.514972i | ||||
\(839\) | 13.5307i | 0.467133i | 0.972341 | + | 0.233566i | \(0.0750396\pi\) | ||||
−0.972341 | + | 0.233566i | \(0.924960\pi\) | |||||||
\(840\) | 2.70922 | + | 4.69375i | 0.0934771 | + | 0.161950i | ||||
\(841\) | −21.8203 | −0.752423 | ||||||||
\(842\) | −4.90182 | + | 13.4661i | −0.168928 | + | 0.464071i | ||||
\(843\) | − | 17.7385i | − | 0.610945i | ||||||
\(844\) | 10.5899 | − | 12.6186i | 0.364519 | − | 0.434349i | ||||
\(845\) | − | 31.8680i | − | 1.09629i | ||||||
\(846\) | −5.40969 | − | 1.96920i | −0.185989 | − | 0.0677024i | ||||
\(847\) | 5.48812 | 0.188574 | ||||||||
\(848\) | 9.06456 | − | 1.59690i | 0.311278 | − | 0.0548379i | ||||
\(849\) | 1.11568i | 0.0382900i | ||||||||
\(850\) | 25.3086 | − | 69.5265i | 0.868077 | − | 2.38474i | ||||
\(851\) | − | 7.30791i | − | 0.250512i | ||||||
\(852\) | −11.8419 | + | 14.1105i | −0.405698 | + | 0.483418i | ||||
\(853\) | 5.84027 | 0.199967 | 0.0999835 | − | 0.994989i | \(-0.468121\pi\) | ||||
0.0999835 | + | 0.994989i | \(0.468121\pi\) | |||||||
\(854\) | 3.89820 | + | 1.41900i | 0.133394 | + | 0.0485571i | ||||
\(855\) | −21.5152 | −0.735805 | ||||||||
\(856\) | 5.18345 | + | 8.98037i | 0.177167 | + | 0.306943i | ||||
\(857\) | 6.89192i | 0.235424i | 0.993048 | + | 0.117712i | \(0.0375559\pi\) | ||||
−0.993048 | + | 0.117712i | \(0.962444\pi\) | |||||||
\(858\) | −2.08992 | − | 0.760759i | −0.0713487 | − | 0.0259719i | ||||
\(859\) | 40.0083i | 1.36507i | 0.730854 | + | 0.682533i | \(0.239122\pi\) | ||||
−0.730854 | + | 0.682533i | \(0.760878\pi\) | |||||||
\(860\) | 49.5116 | − | 58.9965i | 1.68833 | − | 2.01176i | ||||
\(861\) | − | 2.93658i | − | 0.100078i | ||||||
\(862\) | −28.3501 | − | 10.3198i | −0.965609 | − | 0.351495i | ||||
\(863\) | 37.1959i | 1.26616i | 0.774085 | + | 0.633082i | \(0.218210\pi\) | ||||
−0.774085 | + | 0.633082i | \(0.781790\pi\) | |||||||
\(864\) | 5.57073 | + | 0.983362i | 0.189520 | + | 0.0334547i | ||||
\(865\) | 33.3149i | 1.13274i | ||||||||
\(866\) | 47.7141 | + | 17.3686i | 1.62139 | + | 0.590208i | ||||
\(867\) | 13.7114 | 0.465664 | ||||||||
\(868\) | 2.69489 | + | 2.26163i | 0.0914705 | + | 0.0767647i | ||||
\(869\) | −3.25936 | −0.110566 | ||||||||
\(870\) | 13.5314 | + | 4.92561i | 0.458758 | + | 0.166994i | ||||
\(871\) | −37.4540 | − | 5.48328i | −1.26908 | − | 0.185794i | ||||
\(872\) | 9.15528 | + | 15.8616i | 0.310037 | + | 0.537141i | ||||
\(873\) | − | 0.449792i | − | 0.0152232i | ||||||
\(874\) | 6.20982 | − | 17.0593i | 0.210050 | − | 0.577040i | ||||
\(875\) | 8.50884i | 0.287651i | ||||||||
\(876\) | −16.1660 | − | 13.5670i | −0.546198 | − | 0.458386i | ||||
\(877\) | −12.4486 | −0.420359 | −0.210179 | − | 0.977663i | \(-0.567405\pi\) | ||||
−0.210179 | + | 0.977663i | \(0.567405\pi\) | |||||||
\(878\) | −20.5386 | − | 7.47632i | −0.693144 | − | 0.252313i | ||||
\(879\) | 14.1069 | 0.475814 | ||||||||
\(880\) | 5.09081 | − | 0.896849i | 0.171611 | − | 0.0302328i | ||||
\(881\) | −19.7625 | −0.665817 | −0.332908 | − | 0.942959i | \(-0.608030\pi\) | ||||
−0.332908 | + | 0.942959i | \(0.608030\pi\) | |||||||
\(882\) | −3.26320 | + | 8.96449i | −0.109877 | + | 0.301850i | ||||
\(883\) | −11.8604 | −0.399135 | −0.199567 | − | 0.979884i | \(-0.563954\pi\) | ||||
−0.199567 | + | 0.979884i | \(0.563954\pi\) | |||||||
\(884\) | −32.9498 | + | 39.2619i | −1.10822 | + | 1.32052i | ||||
\(885\) | −17.8107 | −0.598702 | ||||||||
\(886\) | −0.254863 | + | 0.700147i | −0.00856229 | + | 0.0235219i | ||||
\(887\) | 13.2391i | 0.444526i | 0.974987 | + | 0.222263i | \(0.0713444\pi\) | ||||
−0.974987 | + | 0.222263i | \(0.928656\pi\) | |||||||
\(888\) | −7.89554 | + | 4.55729i | −0.264957 | + | 0.152933i | ||||
\(889\) | − | 6.56457i | − | 0.220169i | ||||||
\(890\) | −47.3372 | − | 17.2314i | −1.58674 | − | 0.577596i | ||||
\(891\) | −0.340071 | −0.0113928 | ||||||||
\(892\) | −36.6615 | + | 43.6847i | −1.22752 | + | 1.46267i | ||||
\(893\) | 23.0477 | 0.771263 | ||||||||
\(894\) | −7.96456 | + | 21.8799i | −0.266375 | + | 0.731772i | ||||
\(895\) | − | 71.0560i | − | 2.37514i | ||||||
\(896\) | 3.66569 | + | 4.37096i | 0.122462 | + | 0.146024i | ||||
\(897\) | 10.4853 | 0.350094 | ||||||||
\(898\) | 4.14088 | − | 11.3756i | 0.138183 | − | 0.379610i | ||||
\(899\) | 9.34797 | 0.311772 | ||||||||
\(900\) | 14.4631 | + | 12.1379i | 0.482104 | + | 0.404596i | ||||
\(901\) | 12.7519i | 0.424826i | ||||||||
\(902\) | −2.63199 | − | 0.958081i | −0.0876358 | − | 0.0319006i | ||||
\(903\) | −5.10971 | −0.170041 | ||||||||
\(904\) | −18.1031 | − | 31.3637i | −0.602099 | − | 1.04314i | ||||
\(905\) | 57.1809i | 1.90076i | ||||||||
\(906\) | −29.8836 | − | 10.8780i | −0.992817 | − | 0.361399i | ||||
\(907\) | 0.0597825i | 0.00198505i | 1.00000 | 0.000992523i | \(0.000315930\pi\) | |||||
−1.00000 | 0.000992523i | \(0.999684\pi\) | ||||||||
\(908\) | −29.1048 | + | 34.6804i | −0.965877 | + | 1.15091i | ||||
\(909\) | 5.32681i | 0.176679i | ||||||||
\(910\) | 4.28641 | − | 11.7754i | 0.142093 | − | 0.390351i | ||||
\(911\) | 30.6924i | 1.01689i | 0.861096 | + | 0.508443i | \(0.169779\pi\) | ||||
−0.861096 | + | 0.508443i | \(0.830221\pi\) | |||||||
\(912\) | −22.3036 | + | 3.92922i | −0.738544 | + | 0.130109i | ||||
\(913\) | 5.62178i | 0.186054i | ||||||||
\(914\) | 18.8008 | − | 51.6486i | 0.621875 | − | 1.70839i | ||||
\(915\) | 22.1077 | 0.730857 | ||||||||
\(916\) | 30.4470 | − | 36.2797i | 1.00600 | − | 1.19871i | ||||
\(917\) | − | 9.57162i | − | 0.316083i | ||||||
\(918\) | −2.68078 | + | 7.36452i | −0.0884791 | + | 0.243065i | ||||
\(919\) | −23.0564 | −0.760562 | −0.380281 | − | 0.924871i | \(-0.624173\pi\) | ||||
−0.380281 | + | 0.924871i | \(0.624173\pi\) | |||||||
\(920\) | −21.1064 | + | 12.1826i | −0.695858 | + | 0.401648i | ||||
\(921\) | − | 9.22285i | − | 0.303903i | ||||||
\(922\) | 17.4771 | − | 48.0122i | 0.575577 | − | 1.58120i | ||||
\(923\) | 42.5943 | 1.40201 | ||||||||
\(924\) | −0.262692 | − | 0.220459i | −0.00864193 | − | 0.00725256i | ||||
\(925\) | −30.4287 | −1.00049 | ||||||||
\(926\) | 16.8724 | − | 46.3510i | 0.554461 | − | 1.52319i | ||||
\(927\) | 1.81617i | 0.0596508i | ||||||||
\(928\) | 14.9268 | + | 2.63492i | 0.489995 | + | 0.0864954i | ||||
\(929\) | 49.8286i | 1.63482i | 0.576053 | + | 0.817412i | \(0.304592\pi\) | ||||
−0.576053 | + | 0.817412i | \(0.695408\pi\) | |||||||
\(930\) | 17.6179 | + | 6.41314i | 0.577712 | + | 0.210295i | ||||
\(931\) | − | 38.1928i | − | 1.25172i | ||||||
\(932\) | −6.81263 | + | 8.11772i | −0.223155 | + | 0.265905i | ||||
\(933\) | 12.4064 | 0.406168 | ||||||||
\(934\) | −6.14790 | − | 2.23792i | −0.201165 | − | 0.0732269i | ||||
\(935\) | 7.16166i | 0.234211i | ||||||||
\(936\) | −6.53875 | − | 11.3284i | −0.213726 | − | 0.370282i | ||||
\(937\) | 29.8580i | 0.975419i | 0.873006 | + | 0.487710i | \(0.162168\pi\) | ||||
−0.873006 | + | 0.487710i | \(0.837832\pi\) | |||||||
\(938\) | −5.13765 | − | 2.76994i | −0.167750 | − | 0.0904418i | ||||
\(939\) | 24.7560i | 0.807882i | ||||||||
\(940\) | −23.6989 | − | 19.8888i | −0.772973 | − | 0.648702i | ||||
\(941\) | − | 55.5854i | − | 1.81203i | −0.423244 | − | 0.906016i | \(-0.639109\pi\) | ||
0.423244 | − | 0.906016i | \(-0.360891\pi\) | |||||||
\(942\) | 2.07330 | − | 5.69566i | 0.0675517 | − | 0.185575i | ||||
\(943\) | 13.2049 | 0.430012 | ||||||||
\(944\) | −18.4634 | + | 3.25269i | −0.600931 | + | 0.105866i | ||||
\(945\) | − | 1.91609i | − | 0.0623304i | ||||||
\(946\) | −1.66708 | + | 4.57973i | −0.0542015 | + | 0.148900i | ||||
\(947\) | − | 3.89342i | − | 0.126519i | −0.997997 | − | 0.0632596i | \(-0.979850\pi\) | ||
0.997997 | − | 0.0632596i | \(-0.0201496\pi\) | |||||||
\(948\) | −14.6831 | − | 12.3225i | −0.476886 | − | 0.400217i | ||||
\(949\) | 48.7991i | 1.58409i | ||||||||
\(950\) | −71.0316 | − | 25.8564i | −2.30457 | − | 0.838894i | ||||
\(951\) | −9.58106 | −0.310687 | ||||||||
\(952\) | −6.84503 | + | 3.95094i | −0.221849 | + | 0.128051i | ||||
\(953\) | 14.6821 | 0.475599 | 0.237799 | − | 0.971314i | \(-0.423574\pi\) | ||||
0.237799 | + | 0.971314i | \(0.423574\pi\) | |||||||
\(954\) | −3.05787 | − | 1.11310i | −0.0990020 | − | 0.0360381i | ||||
\(955\) | 58.6098i | 1.89657i | ||||||||
\(956\) | 3.55422 | + | 2.98280i | 0.114952 | + | 0.0964708i | ||||
\(957\) | −0.911220 | −0.0294556 | ||||||||
\(958\) | −5.59994 | − | 2.03845i | −0.180926 | − | 0.0658594i | ||||
\(959\) | 0.327027i | 0.0105602i | ||||||||
\(960\) | 26.3244 | + | 15.2064i | 0.849615 | + | 0.490784i | ||||
\(961\) | −18.8290 | −0.607386 | ||||||||
\(962\) | 19.8079 | + | 7.21033i | 0.638632 | + | 0.232471i | ||||
\(963\) | − | 3.66598i | − | 0.118135i | ||||||
\(964\) | 5.66293 | + | 4.75250i | 0.182391 | + | 0.153068i | ||||
\(965\) | 78.9029i | 2.53997i | ||||||||
\(966\) | 1.51926 | + | 0.553030i | 0.0488813 | + | 0.0177935i | ||||
\(967\) | − | 18.9050i | − | 0.607945i | −0.952681 | − | 0.303973i | \(-0.901687\pi\) | ||
0.952681 | − | 0.303973i | \(-0.0983131\pi\) | |||||||
\(968\) | 26.6629 | − | 15.3898i | 0.856977 | − | 0.494645i | ||||
\(969\) | − | 31.3762i | − | 1.00795i | ||||||
\(970\) | 0.826835 | − | 2.27144i | 0.0265481 | − | 0.0729316i | ||||
\(971\) | 8.48442i | 0.272278i | 0.990690 | + | 0.136139i | \(0.0434694\pi\) | ||||
−0.990690 | + | 0.136139i | \(0.956531\pi\) | |||||||
\(972\) | −1.53199 | − | 1.28569i | −0.0491386 | − | 0.0412386i | ||||
\(973\) | −7.63307 | −0.244705 | ||||||||
\(974\) | −9.42793 | + | 25.9000i | −0.302090 | + | 0.829888i | ||||
\(975\) | − | 43.6588i | − | 1.39820i | ||||||
\(976\) | 22.9177 | − | 4.03742i | 0.733578 | − | 0.129235i | ||||
\(977\) | −11.8970 | −0.380618 | −0.190309 | − | 0.981724i | \(-0.560949\pi\) | ||||
−0.190309 | + | 0.981724i | \(0.560949\pi\) | |||||||
\(978\) | 1.70638 | + | 0.621144i | 0.0545640 | + | 0.0198620i | ||||
\(979\) | 3.18773 | 0.101880 | ||||||||
\(980\) | −32.9581 | + | 39.2719i | −1.05281 | + | 1.25449i | ||||
\(981\) | − | 6.47504i | − | 0.206732i | ||||||
\(982\) | 13.5791 | + | 4.94297i | 0.433326 | + | 0.157736i | ||||
\(983\) | −38.2523 | −1.22006 | −0.610029 | − | 0.792379i | \(-0.708842\pi\) | ||||
−0.610029 | + | 0.792379i | \(0.708842\pi\) | |||||||
\(984\) | −8.23474 | − | 14.2667i | −0.262514 | − | 0.454807i | ||||
\(985\) | −73.2709 | −2.33461 | ||||||||
\(986\) | −7.18316 | + | 19.7332i | −0.228758 | + | 0.628434i | ||||
\(987\) | 2.05257i | 0.0653341i | ||||||||
\(988\) | 40.1119 | + | 33.6631i | 1.27613 | + | 1.07096i | ||||
\(989\) | − | 22.9769i | − | 0.730623i | ||||||
\(990\) | −1.71735 | − | 0.625138i | −0.0545810 | − | 0.0198682i | ||||
\(991\) | 3.30855 | 0.105100 | 0.0525498 | − | 0.998618i | \(-0.483265\pi\) | ||||
0.0525498 | + | 0.998618i | \(0.483265\pi\) | |||||||
\(992\) | 19.4346 | + | 3.43066i | 0.617049 | + | 0.108923i | ||||
\(993\) | −5.90506 | −0.187392 | ||||||||
\(994\) | 6.17166 | + | 2.24657i | 0.195753 | + | 0.0712567i | ||||
\(995\) | −14.0759 | −0.446235 | ||||||||
\(996\) | −21.2540 | + | 25.3257i | −0.673460 | + | 0.802474i | ||||
\(997\) | 21.9651 | 0.695642 | 0.347821 | − | 0.937561i | \(-0.386922\pi\) | ||||
0.347821 | + | 0.937561i | \(0.386922\pi\) | |||||||
\(998\) | −18.3907 | + | 50.5221i | −0.582147 | + | 1.59925i | ||||
\(999\) | 3.22313 | 0.101975 |
(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 | 804.2.e.b.535.21 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.a.535.13 | ✓ | 34 | ||
67.66 | odd | 2 | 804.2.e.a.535.14 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.b.535.22 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.13 | ✓ | 34 | 4.3 | odd | 2 | ||
804.2.e.a.535.14 | yes | 34 | 67.66 | odd | 2 | ||
804.2.e.b.535.21 | yes | 34 | 1.1 | even | 1 | trivial | |
804.2.e.b.535.22 | yes | 34 | 268.267 | even | 2 | inner |